Field-Plate-Terminated 4H-SiC Schottky Diodes Using Al-Based High Dielectrics
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Transcript of B. A. R C.-I012 GOVERNMENT OF INDIA TtHTHJ 3v3ff 3T(4H ...
B. A. R C.-I012
GOVERNMENT OF INDIA
TtHTHJ 3v3ff 3T(4H!
ATOMIC ENERGY COMMISSION
ANNUAL REPORT
OF THE
NUCLEAR PHYSICS DIVISION
Period Ending December 31, 1977
Edited by
C. L. Thaper, N. N. Ajitanand and S. S. Kerakatte
BHABHA ATOMIC RESEARCH CENTRE
BOMBAY, INDIA
1979
. A. R. C . - 1 0 1 2
GOVERNMENT OF INDIAATOMIC ENERGY COMMISSION
uof
ANNUAL REPORT
OF THE
NUCLEAR PHYSICS DIVISION
Period Ending December 31, 1977
Edited by
C. L. Thaper, N. N. Ajitanand and S. S. Kerekatte
BHABHA ATOMIC RESEARCH CENTREBOMBAY, INDIA
1979
-ii-
Keporta previously issuud in this series are as follows:
BrtHI bO1 P e r i o d L n d i n g December 3 1 , 1969
BMHI 557 P e r i o d Lndiny December 3 1 , 1970
BrtRL-633 P e r i o d Lnd iny Oecember 3 1 , 1971
B H H C - 6 9 4 P e r i o d Lnd iny December 3 1 , 1972
BHHL-76B Period Lnding Ltecembur 3 1 , 1973
BHHC-843 Period Lnding Oacembsr 3 1 , 1574
BARC-878 Period Lnding Uucember 3 1 , 1975
BARL-97B Period Coding December 3 1 , 1976
f UHLUKJHU
This report covers the research and development activities
of the Nuclear Physics Division for the calendar yaar 1977. The
Division is organised into thrsa main research sections and a
numbar of supporting service sections. The chart in the report
shows the organisation aet-up including a briar description of
the activity of each suction.
In the beginning of the report of each research section a
brief introduction is included giving tha scope and perspective
for the current research activity. One of the major strength of
the Divisional activities has been the emphasis on the instrumenta-
tion- development- programms . All the major projects have made con-
siderable progress during the year.
The number of papers published in Journals or reported at
national and international conferences are listed at the and of
the report. These i add up to more than 95 which indicatea about
10jb increase in the similar number for the previous year.
The other academic activities which include holding of tha
regular Physics Qolloquia, Participation in teaching and training
activities, active participation in the Annual Nuclear Physics and
Solid State Physics Symposium as well as other national and inter-
national academic societies and committees have been maintained at
the same level as in the previous year.
M.K. MehtaHead, Nuclear Physics D iv is ion .
F oteuiora ili
bllUO STAR
Nautron Scattering
1 . Spin-Tran6fer due to Covalency for the Tet rahedra l - 2Si te Fe 3 + Ions i n Fe304 - V.C. Rakhecha and N.S.iatya Piurthy
2 . f ia jnet ic structure of Cu Pd Plnrtl - S.K. Paranjpa and 3R.J. Begum
3. Polarised Neutron study of Maynetic Moment Q i s t r i - 5butions in Ni i_ xRu x MlloyB - L. dadhaw Rao, R. Cha-k lavar thy , I. J i rak and N . j . ^atya flurthy
4. Ammonium Ion Vibrat ions in nixed Hinmonium— Potassium 7Hdlides - j . K . ainna, B.A. Oasannacharya andC.L. Thapsr
5. Coexisting Phases in NH4I - P.a. Goyal and 8B.A. Oasannacharya
6. Neutron Incoherent Llastic Scattering from NH^I, 9NH^Br, (NH 4) Q K I and (NH 4) n < 1 K Br -P.b. Goyal and B.A. Oasannacharya
7. fleorientational notion of Ammonium Ions i n Octa- 11hsdral tinuironmenta - P. a. uoyal and B.A. Dasa-
a . Phunun studied in oC-KN03(Phaae I i ) - K.H. Rao, 12P.K. Iyenyar, A.H. UunKatesh and P.R. Uijayarayhauan
9 . L a t t i c e Oynaroics of KNu3 - S.L. Chaplot and K.R. Rao 12
1 0 . Clontt) Carlo Calculat ion of the Hot Neutron source 14jpactrum - - . L . Chaplot, P.R. Uijayarayhauan and
l>lurtny
Piossbauer iapectrascopy and Compton scat ter ing
1 1 . Ooubie Resonance Closabauer Spectroscopy - K.R.P.It . 16Hao and N.K. Jaygi
12 . A l t e r a t i o n of Umenita - N.K. Jaygi and K.R.P.M. Hao 17
13. Thermodynamics uf a simple o i ta (Juenched Wayne t i c 1QMixture - N.K. J a y y i and K.R.P.N. Rao
- vi -
14. Compton Prof i le stud/ of Fefll and CoAl - P. Chaddah 19and V. u. julmi
1b. Lffect of Hacttun ourrelatii>ns on the Liectron 19Munumtum Density in Molten Metals - P. Chaddah
16. t-xperimuntaj. itudy of Con|jton Prof i le of Beryllium - 20P. Lhaddah and U.C. jahni
17. Llectron Mumenturo Density in aubst i tut ional ly Ois- 21ordurcri rtlloya - P. Uiaddah
Light Juattorin^ and Liquid crystal studies
tO. Laser Hainan study of thu urder-Qiaorder Transition 22in («H ) Lut l -2H C - A.P. Hoy, I/. L. iahni andn.L. Banadl
19 , Laser Hainan acudy i n the fl ixed (Double) j a l t s 24|(NH4 ) i _ x K x l 21-ULI4 .2H20 - n.L. Bansal andu.L. j dhn i
<;U. Tempuratura Jependdnce uf Ku ta t i una l Cor re la t ion 26funcLion i n Cyciohaxune - I I . L. Bansal and A.P. rtoy
21. Disordwrdd L iqu id C r y s t a l l i n e Phase i n the Compounds, 26p-n-AlkoxyElenzylidane-p-AininoBenzoic Acida - K. UshaUeniz, H.b, Pciranjpe and P.b. Par wathanathan
22. j t r u u t u r a l study of the omectic H Phase of Hx8PA 29(6 0 .3) - K. Ushd Deniz, A . I . Clehta and U.R.K. Rao
Other Topics
23. Res is t i ve i t a t e s i n Superconductors — G. Oharmadurai 31and B.A. Hatnam
2*. ao l id j t a t e Phenamena From the Standpoint of Fun- 31c t i o n a l Analys is - H. iubramanian and K.U. Bhaywat
2b. A simple Proof of li/icjner's Theorem - fl. Jufaramanian 32and K.U. Bhaguat
26. extension uf Induced Monomial Representation Theory 32to jemi-LUrect Product Groups - I.V.V. Rayhauacharyulu
27. U'inecalized lionomial Representations and Their Appl i - 33catiuns - I.\i.\l. Hayhauacharyulu
— V I I. —
FIJ-.IUN PHYalCS 35
1. flultiparamuter studies of Fragment hays, Lnergy and 36Angle Correlations in Long Range Alpha ParticleAcoomjjaniud fission of oby induced by ThermalNeutrons - ri.K, i-houdhury, 0.1*1. Nadkarni, P.N. RamaRao and b. o. Kapoor
2. Multiplicity LfistriLiution of Prompt Gamma Hays in 39opontanuous Ternary Fission of 2^2Cf - R.K. Choudhury,J.L. Plohanakrishna and tf.5. Ramamurthy
j. Quantitative Hesolution af 2^4 Th Anomaly - n. Prakash 40and h.-j. Hhandarx
4. Analysis uf Frajmont Anyular Jistributions in Fisa— 42ion Induced by Heavy Iuna - Ht-kha Gouil, H.K. Chou-dhury and J.J. Kapoor
5. Transmission Throuyh Riharmonic Usciilatur Potyn- 43tidla: Mpplicatian to Double-Humped FissionBarrier - 1*1. Prakash
6. TFJO Hesponsti to Fragments from Light Lharyed 44Particle Accompanied Fission of ?3°U - N.N, Ajit-anand, K.N. Iyenyar and j.rt.o. Ciurthy
7. emission of tneryetic Liyht Charged Particle 46(Z = 1,2) in Fast Neutron Fission of 2;35U -0.1*1. Madkarni, K.K. Choudhury, o. b. Kapoor,6. Krishnarajulu and G.K. fflehta
PHYblLS
1 . Real and Imaginary Parts of the Nucleus-Nucleus 50In terac t ion ut>ing a Microscopic Approach -b.K. Gupta and S. Kailas
2. Volume In teyra ls of Wucleon-Nucleus Optical Puten- 50t i a l s - b. Kailas and S.K. Gupta
3. Comparison of Nucleon acat ter iny t.ross ^actions 51wi th thu JLM Microscopic Optical Model - S. Kailasand J . K . Gupta
4 . F luctuat ion Analysis of Ca(p,n) be Total Exc i ta- 52t i on Function from 1.9 to 5.1 fieU - Gulzar Sinyh,S. Ka i ias , A. Chatterjoe, S. ba in i , M. Balakrishnanand Pl.K. Mahta
- u i i
b. La lcu la t ion of (n , 2n) Lross Sections Around 5214.5 MBU uainy an Inteyratud Preeu,uilibr ium-cum-S t d t i s t i c a l Model - rt.. Chatter jae and S.K. liupta
446. Resonance Spectroscopy of bha Nucleus Ti - 53
•. Lhat tur jue , i . Sa in i , S. Ka i las , 1*1. Balakriahnanand Pl.K. Fluhta
7 . Nuclear structure of Scandium Isotopes - b. Saini 54and Pl.R. Gunye
8. Direct and Lo l lec t ive Nucleon-Capture, uainy 58Microscopic Opt ical Potent ia l - D.H. Chakrabartyand S.K. Gupta
9 . 1 9 F(<* . ,n ) 2 2 Na RBaction - f l . Balakr ishnan, 5. Kailaa 60and fl.K. Mehta
1 0 . Level Scheme of 8 Kr - Y.K. Mgarual, C.l/.K. Paba, 61S.n. bhara th i , U.fl. Qatar, H.C. Jain and B. Lai
1 1 . Search fcr Bound Pol/neutron Nuclei in the Fiaaion 61of 236u _ c.VvK. Baba, \l.n. Qatar, V.K. Bhargaua,fi.H. I y e r , S.G. Itarathe and U.K. Mao
12 . A. method of Al ternate Recording of ON und OFF 63Resonance ^ - S p e c t r a at a Fast Rate - D.R. Cha-krabar ty , H.H. Oza and N.L. Ragoouansi
13 . Strong Absorption Plodel for Pion Induced Knock-Out 65Reactions - 8.K. Jain and S.C. Phatak
•+ + 1?14. Off Shel l t f f e c t s i n ( IT , IT P) Reaction on C - 66
S.C. Phatak and B.K. Jain15. Scrutiny of the Impulse Approximation for ( p , 2 p ) 69
Reaction - B.K. Jain
16. Nuclear F r i c t i o n and the Imayinary Part of the 71Nucleus-Nucleus In te rac t ion Poten t ia l -Bikash Sinha
17. Aueraye Nucleon-tneryy Lxc i ta t ion and Lneryy 71Dissipat ion i n Heauy-Ion Co l l i s ion - S.C. Phatakand Bikash Sinha
13. The Imayinary Part of the Nucleus-Nucleus Optical 1\Potential - S.C. Phatak and Bikash Sinha
19. The Nuclnus-Nucleus Interaction Potential using 72Oensity-Oepandent Qelta Interaction - BikashSinha arid S.A. l*loszkowski
20. Nuclear Utructure Calculation? using Momentum- 72Ddpdndent Delta In teract ions (MOO) - Bikaahbinha and jtuvan * • Noszkoiuski
2 1 . Microscopic Calculat ion of 0-ot Scatter ing with 736-Body Antisymmetrized Wai/e Function - Kir anKumar and A.K. Jain
22 . Nuclear exchange as a Hchanism for strongly 77Damped Heavy Ion Col l is ions — A.K. Jain andN. Sarma
2 J . t m p i r i c a l Rules for b u b s t i t u t i o n a l i t y in P.ita- 80stable burface Alloys Produced by Ion Implan-t a t i o n - O.K. bood
24. Ion Implanted Surface Alloys in Nickel - 81O.K. Suod and G. Otsarnaley
25. B l i s t e r i n g by Helium Ion Bombardment - D.K. ~>ood, 81f). bunder Hainan and R. Krishnan
LXPLHIflLMTAL TLLHUIqULb AM) INSTRUfOTrtT ION
1 . Isotope Separator Section - I/.A. Hat tangadi , 83F.H. Bhatnena, K.L. Pate l and L. ahallom
2 . TandBm Accelerator - Pl.G. B a t i g e r i , : . P . Dauid, 84P. Singh, J .N . Soni, C.I / . Rayarappan and U.K. Itehta
3 . Ion Implantat ion - P.K. Bhattacharya, U.S. Bhat ia , 86Pl.J. Kansara, A.G. liiagh and N. Sarr.a
4 . I/an de Graaff Uperations Section - U.A. Hat tangadi , 89S.N. Plisra, O.S. Bisht , S.G. Shukla, n.£. Doctor,S . J . Mandke, P.R.S. Rao, G.V. y h a t t , R.P. Ku lkarn i .R.I / . Patkar and N. Fernandas
5 . Mon-Oestructiue Estimation of Boron i n Aluminium - 92Y.D. Dande and N.C. Jain
6 . Converter Screens for Neutron Radiography - 93Y.D. Oande and S.R. Chinchanikar
7. Nuclear Radiat ion Detectors 93a) BF3 and He-3 Detectors - R>S. Udyawar and
G.U. Shenoy
b) Soft X-ray Detectors for ftossbauerSpectrometry - G.U. Shenoy
c) Position Sensitive Detectors - Y.O. Oandeand G. U. Shenoy
S. Laser Plasma Tubas - S.R. Chinchanikar and 94M.L. Bansal
9. Lou Lneryy X—ray Tube for Energy Qisparsive 94X-ray Fluorescence Analysis — b.K. Kataria
10. X-ray Fluorescence Analysis of Plateriala - 96S.3. Kapuor
a) Analysis of Hare Larth ' i ipur i t iea i n Thoria 96Fuel - N. La i , j . K . Kat. ia and K.U. Ui6hu»a-nathan
b) Analysis of Alloys - Fl. Lai g ?
c) Trace element Analysis of Ligarette Tobacco - gyl"l. La i , B. i/.N. Hao and J . K . Katar ia
d) Analysis of Minerals from Geological Surt/ey yyof India (GSI) - -^.K. Katar ia, Rakha Gov/il ,K.l/. l/ishwdnathao and H.K. Choudhury
e) Analysis of Pl/C Tubings - K.I/. Vishwana'than 97and Hefc.'::: Goi/il
f) ts t imat ion of Liallium in Bayer Liquid - ggK.I/, i/ishwanathan, J . K . Kataria and R. Gov/il
y ) Analysis of Trace Amounts of Lead i n Soil ggbamples - 1*1. Lai and K.U. Uishuanathan
1 1 . Loin Temperature Laboratory
a) Heliu.-i L iqu i f io r and Associated Work - ggN . J . Liatya Flurthy, l/.K. Lhopra, G. Oharma-du ra i , T. tir iniuasan and A.P. Bayool
b) Superconducting Magnets - N.a. Satya Clurthy, 99U.K. Chopra, G. Oharmadurai, T. Sriniuasanand A.P. Bayool
c) Dilution Refrigerator - U.K. Lhopra •) QQ
12. A Lold-Neutron Source for CIRUti - S.K. Sinha, 1 QQC.L. Thaper and B.H. Oasannacharya
CHART 1 0 3
PUfciLILMTIUNS AhQ PMPLRJ 1 07
UTHLR 'jLl^NTlFli. ^uTIUITlLa 1 1 g
-1-
SCILIO STATS. PHYSICS
The Solid State research activities have continued to be
centered around neutron scattering at the CIRUS Reactor but the
fact that it will be a feu years before a new source becomes
available has been taken note of in new programmes. Thus most
of the new inputs have been in other techniques like light
scattering, Compton Scattering and flo'ssbauer Spectroscopy. The
development of cryogenics has also been given high priority in
view of its almost inevitable need in all modern solid state
experimentation. This phasing of emphasis will be readjusted
when the criticality of R-5 approaches. Meanwhile whatever
neutron instrumentation is being newly built for ongoing
programmes at CIRUS has been designed with eventual use at
R-5 in mind.
- 2 -
I Nautron tcattarinq
1 . Spin-Tranafur dud tu LaudUncy fpr the TetrJhudral-Slte Fe f
Ions in Fe 0 (V.U. Kakhtcha and N.b. Satya PiurthyTJ
Neutron mtmsurem;,nt6 on natural ^U,U crystals had giuen
evidence for a siynificantly ldrye cuvaluncy for thB Fe iona
on tutruhejral (A) sites . The.>e conclusions nave buan verif ied
from further unpularised >Jnd polarised nautron measure nents on a
8toichiornetric 3ynthetic crystcil of Te 0 ' ' . Nearly identical- j ^
magnetic structure amplitudes for the A-stte-only rafloctio/is, aa
in the natural crystal , were obtained. A detailed comparison of
tht A-sitt' from factor waa also made with the Fe tetrahedral form
factor in a closely related compound Yttrium Iron Gamut (VIG). In
thu l-3ttar co.ii|jound the di£>t<ancu betuaen an Fe (tetrahedraJ ) Ion
and th« nearest oxyyone is nearly tho same as in Fe,0 . As axoected
u fa ir agreement uss found bntuiaen the two.
A quantitative avaluation of A-site coualency has bean made
uainj a molecular orbital theoretical description for the magnetic
electron wave functions for tht cluster (FeO ) . The 3d orbitals3+ —2
of FB and 2p orbitals of 0 were considered in this traatm^nt4 )
which follows tha original formulation due to Hubbard and flarshall .
Tha ^pin density arising from the e and t^ orbitals was resolved into
sphtrical harmonic components and the component Form 'actor* (spherical
and asphurical) were evaluated. These form factors .^re incorporated
in a ltast-aquurea comparison of the calculated and exparirnantal
maynetic structure amplitudes. I t was established from tha analysis
that about 28,4 of the 'ionic' spin daneity is ttsnsferred away from
the central FB i a n to tha four neighbouring oxygens. The cf- coua-
lency was seun to predominate!. The three coualency parameters inuolvsd
in the theory uars evaluated
The lack of cantre of inversion for the tetrahedral site results
- 3 -
in i ts magnetic form factor haviny an iroayinary part disci. The
lattur is albo obtiiirted in the aboui analysis. I t has been shown
that the imaginary part of A-site form factor does not contribute
to the A-site-only reflections but does so to the other reflections
in an important way.
1) \I.C. RakhechH, H« Lhakrauarthy and N.S. Satya Plurthy, 3. da.Phya. 38., C1-10? (1977).
2) l/.C. Rakhecha and N.S. Satya Clurthy (to be published).3) U.C. Rakhecha, Ph.D. thesia (1977), Uniw. of Bombay.4 ) 0. Hubbard and W. flarshall, Proc. Phys. Soc. B£, 561 (1965).
2. naqnetic Structure of Cu Pd PinAl (S.K. Paranjpe and R.J. Becjum)
* neutron diffraction experiment has been done on mixed Heualer
alloy (Cu I'd) Mnfll as part of a study of the series Cu, Pd UnAl,
uho3F> end merohsrs are ferro- and antifBrrom.ignatic reipectiwoly for
x = 0.0 and x - ^ .0 , to ste the effect of A and C-sits atoms on the
magnetic ordsrini) in Hwutsler al loya. 5o far moBt of the reported
studies have beuri done on the role of B and Q-aite atoms.
The polycryntalline sample of Cu Pd PlnAl was prepared using
4N-purity constituents and melti.ny in an R.F. furnace under vacuum.
The bulk was than powdered and annealed in vacuum at 600 C. The X-ray
dif fract ion pattern usiny Cu-K^ line and neutron di f f ract ion pattern
shoumd a dinyle phase alloy with c e l l dimension of 6.008 + 0.005 A.
The neutron diffraction patterns taken at 300K and 140K are shown
in Fig.2. The intensities of reflections with h+k+1 m 2n + 1 are lou
uhich suggest Pln-Al disorder. At loii tamperature the intensities of
these reflections increase whereas those of even reflections remain
practically unaffected. This indicates the magnetic nature of
h+k+1 • odd type reflections. Mo change in the intensities* of (111)
and (200) reflections was found, when a magnetic f ie ld of »--> 4k0e was
applied para l le l to tha scattering vectors at 140K, proving the absence
of any ferromagnetic component to these ref lections. Thus the basic
-4-
magnetic structure is antiferrumaynetic. Tho Nael temperature was
200
100in
I
100
OBSERVED AND CALCULATED PROFLE
» .l.ill• OBSERVED
CALCUlATf B
U0K
300 K
• • ' -V,.
20 2» 30 35 40
l i y . i Observed and caluulated profilbs fur C
found to bo 363 K from the temperature dependence of (111) ref lect-
ions. Inure uas no rhan-.ji in tha intensitiea of (200) and (220)
rt f lact ions canfirmini; Mn-Al disorder. The structural parameters
hai/e been obtainiid using profi le refinement technique. Tig.2 ahouis
•.„-'! a f i t tad curve for 140 K dif fract ion pattern. The magnetic
ri.jinents per1 fin atom haje been found to be 2.6 + 0.2 /*- and
3.8 +B
at 300K and 140K respectively.
Thd part ial rBplacBroant of Pd by Cu in Pd-dnAl has raised the
Neei temperature from 240K to 363K without affecting the chemical
structure. Thi9 indicates the important role of A and C-aita •toms
on the magnetic orderiny of Heusler al loys. The quantitativa infor-
mation on magnetic interactions in this aystem is expected from the
study of the entile series. Theso studies are in progress.
- 5 -
i. Pul-.ifii.uci Njutiur> ~t.udy uf Hdjm.ti<- JVi'/u=nl Uis t r i ' ut i unsi"_JJi. 'if A j 1 u y a ^L. Hiidfuv Hun, H. Lh Jkr-i v.irthy., I . Jir-)k*..fid h.ii- LLityu I'lurl.hy)
Un the pol.ir ISMCI neutron bpuctr unn; ter, thu aajurBmunts of
t.hi f u l l thru.-- diintnaional magnetic structure amplitude" in
Ni Hu fainylt/ crystal alloys ware completed for two concentrj-
tions viz. x e 0.0i7 dnd 0.033. (Thuse concentratiuns were quan-
t i t .Jt iut i iy OJtimutBd by X—ray fluorescence and were found to be In
•jLturii with the saturation raagnetlzatiun values measured on these
s*amp 11>a ). In the dBtailed leabt-3L|uareb analysis of the data, tho
I'rtSLnte of Type 1 sucundyry extinction in both thu crystal compo-
sitions was fu l l y accounted for . The 2.7/o alloy was found to
f,ufri=r from yreater extinction (g = 1360 +.71) than the 3.3;a alloy
([j = 24ti + 21). The extinction corracted experimental tiaynatic
utructuro amplitudes uure interpreted in the framawurk of the
Jifii i r superposition model to obtain tho local moments on the
hust (nickel) and impurity (rothenium) sites and tlw aaphcricity
I- iramr-.ttr of the haat moment d is t r ibut ion. Moment density d i s t r i -
f.'otion map;, in various planes of the unit c e l l were obtained by
Fourier inversion. Moment.density maps of the faces of the
Wlyn^-r-Seitz cu l l Showed largo itilunds of positive diffuse moment
dbnsity alony ui th small island of neyativa diffusu moment d'..'nsi ty
in the case of the 2.7/5 alloy (Fiy.3a) while d similar map for
tho 'i.3/l alloy (Fiy.3b) showed a uniform positive diffusu moment
dt-nEity. This; is in sharp contrast to the si tuat ion in pure
nickLl where a uniform neyativ/t diffuse moment density was found
t-.y Hook. Another interesting feature of those studies is that tht;
Hu moment is found to be negative and suffers a drastic change in
magnitude over a small concentration ranye.
-6-
ATOM MOM
Ik)Fly.3 Mument density maps in Ni1 Ru for (a ) x = 2.
(b) x = 3.3#. * *
The- principal results uf the analysis are summarised in Table
TablB 3.1
Bulk Localmoment momunt
0.58 K.
N1U.9-3HuU.O27
Diffuse A3phericitymoment paramet or
-0.0.9/* 0.19
0.16
Ni0.967 "0.U33
+0.06K, 0.18D
•Guest BciBntiut from the Institute of Solid Statu Physics,Prague, Lzachoslovakia.
4 f Ion L ib ra t iona in I*I1XBCI rtmmonluni-Pot833iuni HalldeBi i inha, B. * . Dauannacharya and C.L. Fhapsr )
In elastic scattering uxparimentu ware performed on
Vu . 1 6K U.84 B r ' (NH4>U.3BKU.65
Br' N H 4 B r ' <NH4 >0.16*0.84 1 8 n d
NH I at 1GOK on thfe f i l t e r detector spectrometer. After these4
muaauremante were completed we found that measurements on
W9tiardener at ai
40.04S%.955Our spectra are ahoun in Fly.4. We find
u
%
s *•
I"ry
* J O
*.o
2.0OJ)
T.WOKO.90"
ENERGY TRANSFER (In ctrf1)
Fig.3 N&utron inelastac spuctra for pure and mixed ammoniumhaiides at 100 K.
"localised" translational modes and torsional modes in the mixedsalts ' ' . in pure salts, at the came temperature, much narrower( ^ resolution) torsional peak with hiyher integrated intensity is
observed at a hiyher frequency* Pure NH -halides hava a CsCl st ru-4
cture whereas the mixed salts have a NaCl structure, w ich giuea theNH, ion six nearest neighbours and an octahedral surrounding. In the
NaCl-btructured mixed crystals the width of tha torsional 11ns is
- 8 -
rnucfi broader than the resolution and i t remains broader even at
4.2K. t-uan in the di lute mixture of Gardner et al a similar width
was Found at 80Kf the width is typical of • tetrahedron l ibret ing in
an octahedrul environment. The peak posit ion* uhow only a email
variation with concentration.
1) *.B. Gardner, T.C. tfaddington and 3. Tomkirif.on, 3. Chain. Soc.,Faruday Trans IX, 73., 1191 (1977).
2) H.G. Smith and N. Wakabayashi, Inelastic Neutron Scattering(I.A.I. .A., Uiunna) p.103 (1972).
5« Coexisting Phases in HH 1 (P.S. Goyal and B.A. Dasannacharya)
• recent maynatic relaxation study of bharp and Pintar has
suyyauted that under certain conditions of cooling/heating, the hiyh
temperdture NaLi phase of ammonium iodide can coexist with the lower
temperature phastss ( t ransi t ion temperature = 256K), Ue have carried
out neutron di f f ract ion experiment* on this salt at 3u'O, 240 dnd 220K
using a t r ip le-axis spectrometur with a fixed-elastic-window. Thuja
giv'e direct evidence of tha coaxistencs of the NaCl phaaa with the
low tempuratura phases at ^40 and 22uK respuctiualy. Tho concentration
of Natl phase at 240 and 22UK ha= bean found to be 61# and 2S% res-
pectively, for our experimental conditions.
In view of the ptasent resul ts, we have reinterpreted our earl ier2)
data Mhtire wa had studied nuutron quasielaatic scattering from NH. I
at several temperatures bt/twefen 213 and 3D0K. from these experimanta,
we find that NaCl phase of Nh I can supercool to 243K. The sample
transforms to tetragonal phase at 213K. In the heating cycle, sample
exists in the CsCl phase at 243K, in the mixed phasu betueen 253 and
278K and in the pura NaCl phase above 278K. The concentrations of
NaCl phase at 253, 259, 268 and 278K have been found to be 17.9, 22.4,
30.6 and 37,9 jt respectively. The coexistence af phases cal ls for
grbat care in interpreting any data on Wl I in the temperature ragion
uf the present experimants.
- 9 -
Oatu on neutron quasielciutic scat ter ing expariments in the mixed
phat.1: (2b3-i7tfk) of NH I ha'ja been analysed to obtain the roorientat iorv
timu - f : fur NH + ioru in CsCl phase of NH I . The values of "C at4 4
W3, 2h2, ^b9, 268 and 27UK have butn obtained to be 58 + 5, 47.5 + 7,
JU + 4 , 25 + 4 cind 2U + 4 pSec r Bbpuctively. Thusa rusu i ta Suggest
that tha . ic t iua t ion energy fo r NH ion reoi ian ta t ion in the CsCl phase4
of NH I id of the saint ardor ( *"-» 3 Kcal/mole ) as that in CsCl phasBS4 1 )
of NH Cl and NH Br .4 4
1) rt.R. Sf arp and CI.Cl. Pintar , Uhem.Phya. 25_, 431 (1976).2) P.b. Goyalt B.A. Dasannacharya, C.L. Thaper and G. Uenkataraman,
B..H.R.L. -07U, Annuai Roport of the Nuclear Physics Div is ion(1975) p.74.
Mautron Incohursnt Elastic Scattering from NH.It NH,Br»(NH ) , K .1 and (NH. )_ ,.K., Br (P = j.GoyaJ and
Tha angular var ia t ion of nuutror, incDheront ' e l a s t i c ' scat tar ing
fro^. I)H I , NH Br and (NH, ) •sc.^n -w r a^ room temparature and from
(NH/ )r, <«:Kr n / 1 a t 1 4 0 a n d 3 U t i K h a u e b 8 e n studied u^ing a f i x e d -4 u • i o U « 64
elastic-uindoiu for the scattered neutrons. The measurements were made
usiny a tr iple-axis spec t rombt er (E = 13.78 and t^Z = 1.30 met/ as
achiaved using pyrolytic graphite monochromator/fliter/analyser Combi-
nation). The measured distributions are shown in Tig.6. For N!' Br,
thu present distribution agreea with poor resolution (AC = 12.G meV)
data of Uenkataraman et al ' (shoun by crosses) and for NH.I i t is
consistently lower than the poor resolution data (not shown in the
f igure). The following remarks can be made from the above data:
Thu steeper f a l l of intensity for salts in NaCl phase (NH.I and
the mixed salts) as compared to NH Br, which is in CsCl phase, shows4 +
that reorientation time T for NH ion is smaller in the NaCl phase.4
Houever, as the intensity patterns for a l l the three salts in NaCl
phasa are vary similar, the reorientation times and geometries for
- 1 0 -
NH + ionB in thusu salty are nxpuctuij to be similar.4
Fig.6 Pleasured .inoohurent elaatic scattering from purea n d i n i x u d uitniiunium = > i i l t J .
results for NH Br at room temperature shows that in this salt
The fact that good and poor resolution measurements giv/e similar
is
larger than the time determined by the better resolution experiments
( T =i- 2-^/&F = 6' 5 PS£:c- )• On the other hand, the large differ-
ences betuisBn good and poor resolution measurements for NH. I shows
that in NaCl phase T 4 T o •
2) +If one assumes octahedral jump model ' for NH ion reorienta-
tions, a comparison of the experimental and the calculated (solid
lines in figure) diat'ibutions giues ^ 5 psec in the NaCl phase
of NH I and the mixe,1 salts. Further, a detailed calculation shows
that the present data rules out threa fold uniaxial rotation of
NH *" ion in thase Salts.
1 ) (i. Uunkataraman, K. U3ha U6niz , P.K. I y a n g a r , A.P . Roy andP.R. Vi j a y a r a g h a u a n , 3 . Phys .Cham. S o l i d s 22., 1103 ( 1 9 6 6 ) .
2) R. atock/neyer and H. St i l ler , Phya.5tat. SDI. £7 (196B).
- 1 1 -
V. rt,_,/i'it,n_t_<iti.unal j[2pti._orj of_^nMia_nium Ions in OctahHdral Environ-ments (P.b. kcjyal and B.H. Ja= annacharya )
Nuutron qudbieJait ic scot tur i ry from HiaCl phast; of Nil. I ,
( N H Ju .16 K 0 .84 I a n d ( N H4 )0.16K0.84B r U " l n Q r o t a t i n « " y a t a l spectra-muter, RCS, (E = 4.7B meV, / \E >--. 0.35 HIBU) was reported ear l ia r .
intajuramentfc havu now b-son carr ied out using a t r i p l e axis
, TrtS, (E = 13.78 mal/J, k E = 1.3 msl/) whose accasslbla
moinontum transfBr ( "fcQ. J ranyo is large comparad to that of RC5.
For NH I , thu nisasurumunts hav/s buen carr ied out at room tempuraturs
in the M range of 1.J4 to '3.2k K .. Thu measurements for
' N H 4 ^ ' 1fiKu b4 I a t f O U r t u l" f J u r i j t t j r B d batiuaen 9Q and 300K and for(N" ) -K u / ^ r a t room temperature uere irada for U = 2.89 A . The;lufj_>i.ijlastic scat ter ing data obtained u i ing RL and TAb havs beenanaiysud to obtain NH ion form fac tor , reoriar, at ion rates and i n f o r -mation reyarding rucr ien ta t iona l oa r r i e r . Th" reu j l tB Df prdsonti r ivuut iyat ions aru summarised beinu:
Rourieritst -on timus aru aimi iar for pure and the mixed iodide et
room tumperature ( X ^~> 2.0 ^ 1 . 0 psec). t is somewhat larcjar
fur the mixed bramida. Both for the bromides and thu iodides NH i j n
rt iur iants much faster in NaCl phase than in the CsCl phase.
The v/ariation uf X. wi th temperature i s very small between 98
and 3UUK. Euan a lou hinddriny po ten t i a l , for example \l = 300 cal/mole,
yiwcis a t varying by a factor of three between 100 and 3P0K. Such
a change hao not been obsBrued. This suggests that NH iDi) exper i -
encos a very low barr ie r for i t s ro ta t iona l motion.
2) +A number of rbor ientat iona1 models for NH. ion have been con~
4
sidered. The present form factor studies rule out free rotation,
uniaxial diffusion, uniaxial three fold jumps and 120° jump models.
Hotational diffusion model can bs ruled out using neutron diffraction
data ' . Both the^s data are consistent with a model which assumes
octahedral jumps of NH ion. Howevar, for a four fold rotation
involved in this model, a barrier of 3CJJ cal/mole gives librational
- 1 2 -
4 )
frequencies which are much smaller than the experimentally measured
values of 185 and 233 cm Tor mixed bromide and mixed iodide samples
respectively. To obviate this d i f f i c u l t y , we proposB a model uhich
assumed that a hydro&en atom, say H. , performs rotat ional di f fusion on
a c i rc le purpyndicular Co tha [100^) direct ion . ut f l i p s by 19° -16'
uhonouer a H-N-H plJne overlaps* ui th a (100) pl-ine if the c rys ta l .
Fha modnurad libr<ition<*l frequoncitis mould now givu barriers of '-• '. 1U
end »-» 70 cal/mole fo.r bromide and ic^idtj sample respectively.
1) P.Li. Guyal and 0.* . L)aoanriach<Jr ya , BARC -978 t Annual Report ofthu Nucluar PhysiciJ Uiu i i ion (1976; p.100.
2) H.b. iyymour and A.til. Pryor, Acta Cryst. 26B. 1487 (1970).3) lil. PrBai, Mcta Lry^t. 2a*., 257 (1973).4) b.K. j inha, E.*. Uasannacharya and C.L. Thaper, a r t i c le 4 of
th is report.
3. Phunon btudiafa in caC -KMO (Phase I I ) (K.R. Rao, P.K. lyanyar,rt.M. 1/onKatt.sh and P.ft. i/I jdyar )
Lontinuiny thti work rbport td vdtliuv , mfiasuremunts of dispersion
ru la t icn of phunons by coherent i n t l as t i c neutron scattering tachniques
act; completed aloni, ^ , ( ^ » U, U), £^( G ^ , 0) and ' ( u , 0 / ^ )
directions in o(.*"KNO . The low lying transuerst anj longitudinal3
acuuetic branches «nd a few optic branches are thereby known ncui.
1 ) Dee K.H. Rao, P.K. Iytsnyur, H.H. Uenkatesh and P.R. UiJayarayhawan,B»*HC - 978 , ftnnual Report of the Nuclear Physics Division(1976), p .99.
9. Lattice Dynamics of KNO (S.L. Chaplot and X.R. Rao)
A r i g i d molecular-ion model of KNO., is davaloped makinq uso of1 )
the external mode formalism . Using . jotent ial parameters baaed on
s t ruc tu ra l -s tab i l i t y considerations, the dynamical problem is numeri-
cal ly solved to obtain l a t t i ce frequencies in dL. t £> ar ld V phases
of KNO . Wu have used group theoret ical techniques to obtain tha
frequencies labelled representat ion by representation and to simplify
the numerical problem.
-13-
Fiy.'J sho«6 the dispur:>iun relation in the three phases along
hiyh tiymintilry dir -.ct i uns. Thf.1 nuutr on results of ot -phases ' are
Fiy.9 Lalculated phonandiiipersion curvesin & , ft and Vphases of KN03
along symmetrydirections.
in good agreement with the calculated frequencies. In the fi> and
Y" phases no experimental data (apart from Raman Spectra) exist in
literature Tor comparison*
1) G. l/enkataraman and U.C. Sahni Rex/. Clod. Phys. £0, 409 (1970).2) K.R. Rao, P.K. Iyenyar, A.H. 1/enkatesh and P.R. Vi jayardghauan,
article B of this rtport.
10. Honta Carlo Calculation uf the Hot Neutron bourca SpectrumI"s.L. ChapJLot, P.R. Wijayaraghauan and N.S. Satya T^
In continuation uf the work reported earlier • simple Plonte
Carlo calculation 1J carried out for the neutron gain from the
protutypb hot noutrun suuce fur the LlRUb reactor. The method incor-
porates the cylindrical yuomntry of the hot 6ource moderator in a
radical beam hola< The double differential scattering crosj-«ectlon
far tht yraphite modfcrJtor i« approximated by that of a munoatomic
gas of the same atonic msss and density. Ten Montu Carlo experiments4
each cunsistiny uf 10 nuutron histories were carried out for a hot
source moderator of diamat&r 16 cm end length 16 cm at a tumpsrature
of 154QK, calculated on tho basis of the available nuclear heating2 )
and the characteristics of the specific design . The modlfiad neutron
spectrum, obtained from the Monte Carlo experiments, ia shown in Tig.10
along with the original «(.<cfcrum. . The resulting gain in tha neutron
spectrum is alba shown in tha seme figure. The maximum gain is founda
tu be 7.4 at a neutron wavelength of U.52 A. The error bars shown on
the hot source spectrum and the gain curves indicate the estimated
standard deviations. Typical accuracies of the order of 10% are
obtained near the peaks of the curve***
details of the Monte Carlo method as applied to tha hot source
problem would tie described ole&where ',
- 1 5 -
.5 t 2 3 5 10NEUTRON WAVELENGTH(X)
F i9. l l ) Hot nsutron spuetrum from lionte Larlo c . i lcu ldt ions.
1) b.L. Lhdplat, P.K. IJi jJyarayhdvan and N.b. Jatya Murthy,B«RL - 978 f Annual Heport of thd Nucludr Phyt ic j Diuis ion
(1976) H-145.2) S.L. l ihaniot, P.R. Uijayarayhavan and N.b. batya Mutthy,
SnKC Hd|jort (1976) To-be publi^hfcd.3) Si.L. Chaplot, BHfti. fldport I197o) To be publ ished.
-16-
I I . flosiiijaucr !Jpuct roscopy cind Cownton Scattering
11. Doublb Hbiaorianuo Mo'ssbuuar 5pec tr<jscopy_ (K.R.P.F). Rao andN.K. i
Ooublu R&sunanca Mussbauer Spectrascopy (ORLHOS) is a useful
i^ue tu study relaxation procesbcb, to measure Rayleiyh
scattering ctoi.s sections and tu decipher complicated spuctra to
mention come of i t s tipplicdti ona. Ir, DHEPIGS gamma rays frum a
siiiyit! l inu MaE.ebautr Bourco mountac', an a constant velocity driva
(CUOJ aru jcJtterod frum a bulk s&mpla at a scattering anylt- of
about 9U°. Tha scattered beam i j eneryy analyBed by counting aftar
Ibt t iny i t pasa through a thin sinyld l ine fluasbauer absorber
mounted on a con:'t3nt accrflaration drive (CAD) coupled to a mul t i -
channel analyuer (PICA) and syncronized uith the CUD* A uiidu uiindow
propor Clanal counter i« ;ut'd for getting suff icient intensi ty. Tha
(.1/0 ii- adjusted to move the source in such a way as tu match i t s
cin&rgy uith one of tha allowed transitions in tha sample nuclei.
This sultctiwaly populates nnu of tha excited nuclear lev/els in the
scatterur i .o . the sample. The vulocity spectrum of ths scattered
beani obtained by moving the absorber (CAD) in an appropriate rungy
of voloci t ius, uith a fixed source velocity, constitutBs the double
resonance spectrum. A Uouble RLsonancb riOasuauar spectronster W«J
dQBigned, faurlcatcd and tested by recording doubla resonance spectra
of bulk stainless steels. M tenema t ic block diagram of the spectro-
meter is tihuwn In f~is.11.
- 1 7 -
FUNCTIONGENERATOR
TRIGGERI;
X(VELOCITY)
t uCOUNTING
ELECTRONICS mnilY i (COUNTS) " j
MCA
t
tvof
_ 5_~aGRADEDSHIELO
t'. A .O/7 ]i \~TsEC.
*NALVSER
(SCATTERER)
SEC.
BLOCK DIAGRAM OF OREMOS
Fiy.11 A suhumatii, bluuk oiayrum of JHEITOS.
12. rti.tBrat_iori of Ilirmnite (N.K. Jayqi and K.R.P.P1. RJO)
Ilmunita ifeTiCi, ; uniieryoua a l t e r a t i o n to r u t i l e (TiO ) umiur
a m b i e n t c o n d i t i o n a . Ju t tn thd rtCfcnt i n t e r t n t in c;jnu-.3i' t . inq f r e f i iy
a u t i i l u h i u i im, n i l t tu t n i ra i<i t i u u l y r.iT£; r u t i l f , H s t u d y of t h i s
ax t<.r<ii.iun mad unc3oTtdk«n. uur (juiudtsr x—ray dif ' f r . i c t i o n dnd
l iub tbdu^ r d a t a , t u k u n d t roumF l i g . N . k li.Lj.He t c m ^ u r d t u r u s l a a d t o
t h e fu
Truifi. aid two
Ljsi^r I. o cuni jlKtb
o FtTiU
of a l t e r a t i o n of .uhich the f i r s t onti i s
Ti U,
C i > ( I I )
-Fu D +T1G2 J ^
any
Rutilt;
1 corresponds to the rriiixinium oxidation that is possible uithout
iinjujl of oxygen. Further, s,incs the anion latt ice is v/cry
-la-
i.lar in ;imenite and ps&udorutile, this stage can procaud to
simply by the diffusion of metal ion9 without disturbing
the anion latticu itv«rely. This ij not in disagreement with thh
fact fiat ilmsnitti i-> a rather guod tilactrical uonductur. The
second stayu huuouer nttids a cunco'nitant rcoauai of a proportional
amount of oxygen also, further t;ir(;« the anion packiny in ruLilii
and pSdudorutile atu wary liiffurent, this stage must involve 3omo
kind of dissolution and ruprycipitation and must be inherently more
difficult to proceBd.
13. Thermodynamics of a Simple Site Uuenched Hagnetlc Plixture^N.K. Jayyi Bnd K.R.H.PI. Hao")
M vary simple model for a two dimensional magnetic mixture was
studied by the Plonte Carlo technique. Thu model consists of Ising
spins on atoms A and G, qunnchud randomly on a Square lattice!
couplfcd to tneir nearest neighbours only with -3(AB )x3(AA }a.l(B8)
Tha spbeific hsdt ohoub a lambda like) anomaly atH L.*
T c ^ J|<2x-l)| M ,• uhsra T and 11 are the exact tranaltiun temperature1 ' e x ex ex
and the exact iaro field magnetisation of the puce lattice viz. at
x=U. The spin glass order paramdtur / ^a*1")! i& f"und to go as
In | , and goes to zero at T with an exponet >--> 0.25. Thus tha
magnetic phaae diagram in the T-x plane is straight line of parato
f BrromagnBt transitions at T=T »2.3 0/ (< , Bxcypt at x»0.b uhure
onu has a spin ylass transitiun.
It was found that a simple transformation of the Ising upin
variables maps this modal for zero external field to the pure
unsayer model and the exact tharmodynamicB is obtained very simply.
It ie ruassuriny, however, to fin that che agreement with thw
flontti Carlo data is complete. In a finite field thia transformation
breaks Jaun and axact results ara not available. The Monte Carlo
data chow a poak in the susceptibility close to T , but it in
difficult to make definite statements about the nature of the anomaly.
-19-
14. Loiiijjton P r o f i l n i>ludy of Peril and Uofli. (P. Chtiddah andV.C. Ciahni)
In continuation of our studies rt-vartcd laat y-Mr, uis en tM s u r-.• U
thi, Cj<ript-jn (-'rofilBs (CP; of Fenl and CoMl. ThE motivation for th is
work warn thtj con f l i c t i ng charge dunj i t ies indicated by sariiL=r M"1R
and sof t -x-ray s t u d i u j . Our 'neiaiiurdd CP's have been compared with
csJculations ba^ud on a simple modal in which thu alractrons occupying
the- t rano i t ion mutal d—band are tr^atf id uia tha Renormaiised Free
»*tum inodiji, uhil<= th^ ruraaininy conduction elactrons arc treated *a
f r t i i i Tht valuta of w^i jhted mean sgu>Jro deviat ion between theore-
t i c a l and ax|jeriiii=ntal p ro f i l es show o host f i t to expurimtmt with
a 6-bdnd occupancy of 7.5 for FeHl ( c . f . 7 . 7 2nd 8.6 by soft x-r.jy
ind NflR situdxt^- r t iup^ct iu^ ly) and 8.3 fo r Cofll (c.f. 9.2 by both tha
ear l ie r s tuo iaa) . Tht l im i ta t ions in our model, and tha i r poabiblu
o f f t c t on thii c onclualonu, haua al^o baen studied. Our reuul ts
indicate that the u.jxliur inferances had overestimated the extent of
charjL tranaffer. rtecent unpublished APW calculat ions (of 0.3. Nagel)
also yiue much lower d-band occupancies than thB ear l ier i n f artincu 3.
uf our uor k are undur publ icat ion •
1) P. Chadduh and U.C. Sahni, Phi l .nag. ( i n presa ).
15. Effect of Electron Correlations on the ilectron MomentumDensity in~Holten Flatals (P. Chaddah)
I t has been notud ear l ie r ' that electron corre lat ions ara the
probable cause of the long t a i l seen in experimental Compton2 )
Pro f i les (CPj. Tha well-known ca lcu la t ion of Oanial and Uosko
for a hDmoytneous dlectron gas shows that electron corre lat ions
reduce the d iscont inu i ty in the electron momentum density (CCIOj at
the Fermi momentu*, P f . and also introduce a long t a l l i n i t . I t
i s in te res t ing to axplore the ef fact of corre lat ions on the LCIO of
an inhomogeneouG eloctron gas. Tha problem becomes extremely
complex for a crysta j . l inu s o l i d , but for a molten metal we have
-20-
Ktn <i(,J(' to ^ •<• rf uriii nij'iiur it:al ta l i , uiat l>/ns wi th in a rs-atun.ihlu
f^r ux inia L i on bch<,iiie '
Our a(,,.r.-.acti «t.s unt i a l l y consists of f i r s t -nudifyiny thL?
Rlniitron propayatjr t j include the ef fect of ionic psBudo-
poU=ntialB. Fuiiou/i.ny the work of Rallif.ntine , the electron
self-fcneryy i;j obtained to oiicond ordi'r ss l f -cona iu tent ly . This
modified pru.iayatur, which describaB the impurturbBd state - with
th.j t l bc t r on-Bii-Ct ron inturact ions (ilaying the role oF perturba-
tions - is then uatd for calculat ing the END fol lowiny the proce-
duru usud for a humaytnouus oluctron gas . The numprical results,
abti'iinctj f o r l i q u i d aluminium show that uhereus the daparturrj of
thu t-HO from tht unit stop function i a , for example, 0.05 at D.9 p_
whHn correlat ions aria not included, it. chonyfss to 0.15 at 0.9 Pp
uhc.n those, ird included. CP measureinunts on l i qu id aluminium hsv«
i n i t i a t e d by Suzuki et a l and 3hould halp check our sch^mu.
1) P. Uhdddah and U.C. bahni, Phya.Latt.A 5j&, 323 (1976).2) L. Danitil and S.H. Uosko, Phys.Rev. 120, 2041 (1960).3) P. uh..ddah, Phya.Lstt.A 63, 5? (ig77'J7~4) P. Lnadd<ih, Pramana ( in p r i j 3 ) .5) L. t . ba i lun t ine , Lan.J.Phys. 4£_, 2533 (1966).
16. fcxpurimtin t u l 3tudy of Compton Prof i le of Baryllium (P. Cand U.L. Sahni )
Our prouiau- theorut ica l calculat ion of the L'oinpton Prof i le in
8e had fa i l ud to shou th3 long t a i l which car l iBr experimental resul ts
tfxhibit.ad. Since thisse experimental rosul ts had been a f f l i c t e d by
mult ip le bcutteriny correct ions, which had not been properly accounted
fo r , an independent measurement ui ing our own set up was considersd
dei i i rablu. A th in polycryBtal l ine s l ice was uaed in our measurement
and p ro f i l b sihape uas deturminwd to better than half per cent. Our
measurements, af t i i r applying mult iple scatter ing correct ions, yiaJd1
results ' which ayri=e with uur calculat ions better than the praviuu^
x-ray results d i d ; however, the discrepancy between theory and exper i -
ment p c r s i j t s . «n improvod theoret ical ca lcu la t ion , taki.iy correlat J.rjn
- 2 1 -
into account, ii> therefore orsuntial for under standing the
Lumpton pruf i l t of beryllium.
1) P. Lhaddah, Ph.D. thes is , University of llombay, 1977,
17. L ijjc t£_2Il mnenturo ijunsity in bubsti tutionally Disordered
A1J u y h (I3.
Cletlron s ta tbs in subat i tu t ianal ly disordered alloys have
been studied j j i r d this cjherunt .jotantial and auenye T-'n..itrix
appi ox iiiuj L iun • Thuujh what i-i mo t ufte.n colcultitBd L3 ths
dun^ity of atutfco, complex anaryy band otructurd havd also biran
rticintly calc ul'ittjd . Tha electron roomtintum d&n^ity (EMO) also
curr ias dtt i i i lcd inf urination about the ulectron s t a t e s , and since
i t i s expo rifntntally <nij& jurat ltj, can po^&.'.bly be used to check th •:
Udrioua approximation achonicis. To inveatiyute this idwa, uiu tiaua
obt>jinid this LI'llJ for d model binary s?lloy within the coherent
potuntial appro.-;imatioii . The Hamiltonian of this sinyle-baniJ alloy
is assumed to h.;iue, in tha tic,ht-binding r ipresuntat ion, no
off—diagonal disorder. Thu occupancied of tha Bloch statEia, of tho
rufuruncu urdurtd HamAItonian, have been numorically •waluatail for
a bec latLicu with thu off-diagonal part of thB Hamiltonian haviny
only ntiarubt n..:.yhlMjur oi/driap terms. Our reaults ' for th is modal
alloy uhoui that at juitablu concentrations tha ECIO comprehensiwaly
rbfli-cts both this I'ual and thw imucjinary parts of thu coharunt
putunt ia l .
P. Lhddu^h, J .Ph/s .C ( i n
-22-
I I I . Light acatluriny and Liquid Lrystai Studias
10 La-jut Hainan Study af thu Urder-Diaorder Transition in(NH ) LuLl .2H 0 (H.fJ. Roy, u.L. bahni and PI. L. Banzai)
1 )Ammonium coppar chloride dihydratB exhibits a broad
upucifie heat anomaly between 120-2UU K attr ibuted to order-dis-
order of ammonium ions. We have made a detailed laser Raman
study of this t rans i t ion. Interest in this compound arises due
to tha nature of i t s ammonium network. Along I axis the adjacent
ammonium ions are at almost the same distance as in ammonium
chloride, but in the X-Y fjlanu intervening copper-water clusters
enhance the separation by XX ^0^. From the point of ordering
(dominiintiy duo to octupolar interactions d.Tionyst aiiuiiuniuui ions)
the system thus behawaa as 'quaai-one-dimensional'.
Ulykuff det.ignatet> the room temperature (300 K) apace group14
for this crystal to be 0., , but no cryatallographic data exist
for the fu l l y ordBred state (beloui 100 K). Us recorded polarized
Raman spectra at both 300 K and 100 K, using a 50mlif He-Cd laser
(4416A) and a double monouhromator (both made in our laboratory)
with a spectral band pass of 2.5 cm . Thu sptxtra at 300 K14
(disordered phase) are consistent with 0. , but nBu modes appear
at 100 K, implying a loweriny of crystal symmetry. To establish
tha lat ter we considered each subgroup of 0 . u/ith the help of
a symmetry vector calculation (that indicatod possible frequency
ruyions uherb new modes could appuar) we could establish that a l l
subgroups, except 0 , arts inc.ondit.tont with observed features.2d
find 11/ £>ite symmetry conbidtiration mere used to pinpoint tha
space group at 1Ou K to bo U .
2d
To investigate how 'i^uaoi-une-dimfan sional ' character j f f t jc ta
the euoJ.ution of long range uruer parameter m ( in contrast to what
is found in NH Cl) uu studied the temparatura variation of the
spectral intensity of soma selected mudes. (See Fiy.16.1).
(m denotes the difference in f ract ional number of awnunium ions
in the two possible orientations, j Tullouiing r t f . 2 onu can show
-23-
that in tens i ty of modes (a) and (b) in Fig.18.1 varies as (rt+mB)
whilst for mode (c ) i t uarius as m C . Thus m can ba obtained in
each ca iu . An auarayu of thasa results ia compared ujith that
ootainod for MH^Cl. (Fiy.1b.2>. Luidunt iy, the much slower
100 Ul> 2X1 100 KO 200S H I F T < C m " ' )
f iy .18.1 Tt3.npurai.urt: va r i -ation of btok«a Human Spectra.
uauid be eot^bii^hed formadtib (a ) , (u ) ••ind (u) only.Note Sijtlib chuOtjdU •
-1.0
NHjCI (from Rtf. 5;
0.1 0.1(T/Tc)—^
1.18.2 Comparison uf/diu«;_. ofr (NH ),,0 and NH LI. '
change in m ualues for our case is a reflection of the
dimensionality of the system.
1) H. Suya et ai., Idull. Chun, bot. Japan 3£, 1007 (1965).
2) J.l'l. Lovuiuck and J.B. Sukoloff, 3. Ph/8. Chbfn. bolida
34_, d69 (1973).3) A.R. 5harp and M.h. Pintar, Lham. Phyii. Ijj., 4J1 (1976).
-24-
1 9 Laser Hainan ^tudy in Lha I'iixod (DoubleJ baitsI INH ) K T* LutT~T7Fnj (,1'I.L. liansal and U.t. Sahni )L 4 1 -x x J 2 4 2
A lawtr Ka./ian study in the mixud Sjyjt&m [ (NH j K 1 .*- 4 1 -x x J 2
LuLl •2Hi.(J has btien made u i th a two fold ub J U L t i u t . F i rs t ly to
ex am ilia huu a normal modt, dufliinant j-y inuua.uiny one ^ub- iat t ice
motion, y«ts modificJ uihfcn tha sanib i uL ia t t i cu is &ubstitutud for .
Secondly, to utudy the chanyao in riydruyon bundt. li-H C l ( l ) in
th is system.
14Th<* parent compounds Dolony to 0 , with tu/o molecules par
uni t ca l l and posses d[i Raman autiua moues. Polarized Raman
spectra uiare rucorded using a 5(JIIIU He-Cd iasar (4416A) and anulysyd
atiiny a double monochromator with a spuctral band pass of 3 era .
Tha 8 modts ara uery strong and appear in the pure ammonium
compound (X = LJ) at 92, 117, 198 and 1532 cm valua=s. 5inco th is
c rys ta l cdn uo vieu/ud <u chains of" NH.C1 (along / d i rec t ion) and
the 19U cm mode id c iost to and similar to zona boundary mode in
NH LI (around 1t)0 cm ), uiu examined thfa apuctra of dbuteiratad sal t
to ascertain ttiu tiuhxviuur of this moiio. ~ihu B modus in t.h.j
Uoutdratad sai t uiura uLuurvud at lJl, 115, 1 cJ4 and -iOb. This shou?
that bJ2 mode it) u uatar l i b i ' a t i un . Further, from the ubsbrt/ud-1 -1
s h i f t of 1 yu ci» mode to 164 cm unt wt i t juant i tat iudly establ ish
that th is i1yu era ) modu predoiiiindntly contains translat ions of
NH - which is tha suulat t ice inuolued in mixiny procoss. The cun-4
Cciritrdtiun dapendeftcci of thi& muda is bhou/n in Fig.19a that c
the 'two-mode behauiuur ' . Mnaiy-iif uf the ruou l t i
fol lowiny Htl mudbl of bauhoffer et a i ' ^ indit.ot. = b that sum of tha
iiquared frequencies uhuuld vary i i nuar l y wi th x . This i3 indeed
found to be the case
Ue alao studied the x dependence of the about' water l i b ra t i on
so as to dsterminu the changes in the hydiOytn bonds O.H C1(I)
in the present syatem. The ous&rued x var ia t ion , summarized below,
-25-
yuits that Chu 'af fect ive i o n i c i t y ' of U ( l ) ' s is XoutT in
tliu I\IH aa l t .4
X
- 1i n cm
U
b28
U. I
bJ>2
0.
5.1
a
t i
U.41
541 54 5
U.61
54 8
U.81
554
1 . 0
5(10
no }TO no ijo no* — SHIFT (cm1)
(a ) Hijinan SoecLra fur e,nind linked cry( b / P lo t Ot' Sulli uf b>jUdfcd f'T fL|l4u-ril-i •
1) H. Suyd Bt a i . B u l l l,hera. boc. Jap^n ^8_, 10CJ7 ^ 19GS J.2) U. B a u h o r f u r ut a l . Phy3 . ^ t a t . b o l . 6 J (b ) . J85 ( 1 9 7 4 ) .
-26-
20 Tcmparatura Dependence of Hgtational Lorralation Function inlyclohexdne (M.L. Bansal and A.P. Roy)
A study of tha rotational correlation function ia necessary
for obtaining, a detailed understanding of tha dynamical processes
in liquids. In cyclohexanu (C H ) nibaauraments ' o n temperature
variation of correlation time exist for the V^ , and y depola-
rized modes. Tha analysis for these modes, however, is complicated
by the fact thJt there it> no satisfnotary method of oeparatino, the
effect of uibrational relaxation from the raorientational motion
and further thare is no unique axis of reuritntation. The V
(jolaribad band of L-,H1 _ prouidea an opportunity to unambiguously
study tha reorientation uf tha aymniBtry axis uf the molecule. u-r
hduu infidb such a study in the liquid and plastic pha^a of C H •6 12
The sample was illuminated uainy a 4Qmlil He-Cd lajar (
and the scattttrud light uas analysed using a double inunochrama t or.
The polarized (1 ) and dapolariaad (ly ) band profiles were recorded
ouur a ranga of 1UU cm from tha cantrti of the ba,nd; the instrumental,
half-uiidth being 1.7 cm .
Fig.20 shows correlation functions at aeuHral teroparaturus
obtained by fouriar transforming the data. At 340 K, free rotar
bahauiaur extends upto 0.3 psoc ( 't*^»U.4}. The correlation tims
X* defined aa tha integral of C t(t#) yariss. from 1 to 4 in the
temperature range 340 K - 195 K. In contract to this, Bartoi and
Litovitz obtain an order of magnitude variation in the correlation
tima (ostimated from the half widths of thu bands). We btliove
these differances arise due to the reasons mentioned earlier.
By approximating the C H moleuul'i ac a symmetric top
(asyminotfy parameter ^2 —0.42), corruiation functiunj have buen
computed uaing the j and Pi diffusion matluB . Ha an illustration
uu shuw comparison with the 34u K results. In gunarai, the
1*1—diffusion mudel repruducas thd axpariniantal curves better and
givas f * coiiiparable with the experimental vaiuea.
- 2 7 -
-0.S -
8 -1.2 -
0 0.5 1.0 1.5 2.0 2.5
E«pt.Fre* rotorM-DUMB* 3)J-Ditf. (B*4)
-1.6 -
-2.0
Lxperimental rot i i t ionai correlation function in cyclohux.ineat oeueral tempfardtureo. i^o.upjrison u/ith extended d i f f u -sion modal calculation is presented for j4 0 K.
1 ) F.3. Bartoi and T.«. LiLuuitz, J. Lhcu. PhyS. 56, 4U4 (1972).2) J. Schulz, 2. Naturfarsch, 2y.a , 1636 (1974 ).6) R.t.O. I'lcCluny, Adu. l*lui. Rei. I n t . Pruceooes: 1_U, 83 (1977).
-2B-
21 . DiHiirijt-rad Liquid Crystalline Phasn In thtj Cum|joundb,p-n—rtlkuxyuVnzylidenn-p—urolnoBunzcjl e '<r ida (K. Usha Ounii,
)
The hiyh temperature omectlc phauuj uf thti haxyl, huptyl,
nonyJ and tutraducyl member:* of ttw serins u( compuunds, C Hn .
O.C H, .OH = N.C H .CUUH haws bean dof ln i te iy identi f ictf to bu tha
smHttic L phd&e^ (disordorud, t i l t e d Bmut-tic phases) from our
texturu studins , The tranait iun tbrnpuraturua otitulnLd far tho
S —N tr.-inbit.ian fru-n our Q-JL scans compdr d ueli. with the tsmpiira-C 2)
tures c.iici.iatud for tho S -N transi t ion from OcPlilien's thuory ' .Houuutir, tha transition entropibs., ^ 3 cdiculaltjd from this>
thuory do not ayree with tha valatm of &S otitained in our
ex per imEnts. This hat. been attributed to thu additional rotational
ordur uf thu S pha^« (nut prebant in tha b phatie) which is lostC 1 \ *
ot the S -N transition ' .
Prbliminary X-ray diffraction work has baen carried out with
tha nonyl member (MBMB<>) in the S and nematic phases, so as to
determine the tum'peraturu dependence of the smectic layer thicknoaa,
dr the t i l t angle fl , and the intfc -molecular separation, 0. It la* o
found that d is about 3U 1 in th; S phase and increases abruptlye
to 35 t\ Rt the 5_-N transit ion av ??7°C. 6 has been calculated
from tha ualudS of d, using the relation Cos9. > d/L where L hast o
been taken to be the length 'of the dimeric form (48.2 «) of the
molecule obtciinej aucording to De Uries modal . 4 is about 50°,
autiy from the S -N tranait ion, but decreases to a smaller value atL 0
the t rans i t ion . 0 increases with increasing temperatures (5.0 Ao
to 5.3 A) in tho 5 phase. The nematic phase is found to be a
..keued cybotuctic one (where S typu order exists). The 5 -type
order, does not peruist for a larye temperature ranye. The value
of the molecuibr ienyth, t , as obtained frcro our X-ray results in
- 2 9 -
the rid.natic phaja i3 found to bs V 42 A, showing that the
diraeric form of the molecule is prbsent in this phase also.
1) K. Ubha Oanii, A.S. ParanJpB, P.S. Paruathanathan, E..B. Plirza,A. I . ' Ctehta and K.S. Pat e l , to be published In the Proceedingsof the Nuclear Physics and Solid Stata Physics Symposium (DAE),Poona (1977^.
2) W.L. flcflillan, Phya. Rev.* £ , 1238 (1971),3J *.D« Vriea, rioi. t ryst . Lit). Cryst. 1J_, 361 (1970).
22. Structural Study of the Saiectic H Phase of HxBPA (6 0.3)(K. Usha Oenia, A . I . Mehta* and U.fl.K. Rao+)
I t is only recently that the long controversy that existed
about the nature of the Smuctic H (SH) phaSB (thought to be a
since tic B phase unt i l recently) uas resolved, as a result of
careful miscibil ity experiments which proved that the 5 and 5H B
phases wars different. X-ray diffraction work had previously 3houin
that the structures of the two phases mere indeed, quite different .
While thu S phase uas known to have a hexagonal packing, ths 51 ) 2) "
phaae, both in TBBA ' an also in 7 0.5 ' (a hiyhar homologue of
HxGPA in the series of compounds, mO.n) uas shown to haue a
baao-centerud monaclinic l a t t i ce .
To check on the structure of SH phase ' of HxBPA, the X-ray
diffract ion iines obtained with this compound at room temperature(supercooled & pha3e) haa been indexed, assuming that i t has a
H
c-face-cunts -ud monoclinic lat t ice with two molecules per unit c e l l .
In such a structure the reflections corresoondiny to h+k = 2n+1 ,
where n is an integer, ara missing. Thu c-axis uas taken to be
paral le l to the iony axis of the molecule and hence ft =(fi + 90°) ,t 3 j
where fi i3 the t i l t angle and is about 34° at room temperature .
Good agreemunt betuutn the obaerved and calculated la t t ice
uaa obtained by takiny the followiny la t t ice parameters:
a m 1Q.5 A, b - 5.U A, C = 23.B S and ^ = 124"
-30-
°3Thti volume of tho unit cell is about 1036 ** , and this luads to
a density of 1 .1135 ynio/cc. This, result is in complete disagreement4 )
uith the valu' oT 1.2 to 1.3 ym^/cc obtained for the density in
the S phase, assuming a huxayonal packing of molecules in theH
smectic
• Bombay Uniuer&ity Studfcnt.+ Chemistry Division.1 ) J. Ooucet, A.M. Lewelut and M. Lambert, Phys. Reu. Lett. 3_2_,
301 (1974).2) U.H. DeJou and J.A. De Poorter, Phys. Lett. 61_ rt, 114 (1977).3) K. llsha Deniz, U.R.K. Rao, A.I. fiehta, H.b. Paranjpe and
P.S. Paruathanathan, Plol. Cryat. U q . Cryat. 42,, 1137 (1977).4) K. Usho Deniz, rt.l. (<lbhta, U.R.K. Rao, P.J. Parwathanathan
and *.->. Paranjpe, to bB published in the Proceedings of theNuclear Physics and Solid State Physics Symposium '™»r*Poona (1977).
-31-
IU Other Topics
23. Ri.isist.ivta Stataa in Superconductors» (G. Qharmaduiai andB.rt. rtctn^m**)
An ext«=ni»i\/e study of oeutral aspucts of the currant-inducyd
rcaistii/e states of thin film superconductors with special
reference to Ag-bn pruximity-efftct bridyoS has been carried out
Loth undur thurn-Jl equilibrium and nonequilibrium situations. A
fbu siynifii.dnt observations are liotud bslou whereas the detailed
d=ta anaiysib to draw specific conclusions in underway.
1. ri sy^tumatic dectuauu in the bridge critical current is
otjatrved undur phonon injection from the heated transverse
njrmal metal strip.
2. * jump occurs in the bridge critical current at T a T^
(the lambda paint of helium).
3. Hysterusib is observed in the current-voltage characteri-
stics of thede bridges which increases as the bath
temperature is luwered.
• Work dune at TIFfl, Bombay.»• Staff Flember at TIFR.
24. Solid State Phenomena From the Standpoint of FunctionalAnalysis (R. bubramar.idn and K.U. Bhaguiat)
Often on8 has to deal with unbounded operators. At times e
naiue analyaiB seer,is to lead to certain paradoxical results (for
example, the Klauder Phttnomenon). The controuertial "Stark
ladders" is another example, where a continuous spectrum due to
uniform electric fifld is turned into a discrete line spectrum by
a periodic perturbation. A feu years back ue studied the rBiiiti-
uiatic effects on surface and impurity states and had observed
that there exists a relatiuistic impurity state merging to a
-32-
band~«dyn in tha non-relativistic limit. No such state was
obtained in the surface stato prcjcitm. In thu liijht of Cbrtain
new results due to biinon we haue undertaken the study of this
phtnomunun from tht standpoint of functional analysis. Our
preliminary observations are presented at the Nuclear Physics
and Solid Statu Physics Symposium (D'*E), Puna iy?7.
25. A Simple Proof of Signer's Thaorum (R. Subramanian andK. \!.' Bhayuiat )
This is a by-product of our oarlibr uork on operator
inequalities. «ccordiny tu Wiyner's thoorem "if «, B and C are
poditiue operdtors than thu product ABC in positiue if it ia
Hsrmitian. Threa proofs of this theordm are knou/n in the litera-
t.jrii. uiu have giuen a puruly algeuraic dnd by far the simplest
prouf of this theorbin. (To bo pubiiihsd in Proc. Ind. Acad.
be. i
2b. Extension of Inducad nonoinial Haprbjentation Theory tobcmi-Jirm. t Product Groups ( I . u . l / . rtdyhauachdryulu)
The monumial ropresentation theory of ordinary groups has
been uxtendfcd to iami-diract product yroups.
L=t P l> G be a yiuen aemi-Uirtic t product group in the usual
notation where Q i s a normal subgroup of P > G and the factor
bic.jp P > u'/G 3 P( =. stands for isomorphism). Let Q (?• H be a
iubijroup of P t>C such that UC P and HCG and Hq = H for a l l
•) £ U which follows from the de f i n i t i on of the s»mi-dirtict product
Now, consider the ordered sections S = (g-j i • • • • .9^) and
T = (P1 ,Pn) of P and C w . r . t . U and H respect ively. One
that an ordered set of coset repr=sentdtive elements
of P !?G u.r.t. Q l>H using thd ordered oroduct T S ordered in thuP ^ G
usual may. Hence, consider (U ^ H ) ^ the induced monomial
- 3 3 -
of P fc* Li from the subyroup (U |>H) making usu
uf a huiiiu.norphism $i M t>- H —^ (tj ^ ^O i * ' UB Jtudy the structure
of ( j P> H ^ which yentral iztu in a natural way the induced
thuory of stmi-diroct product yroups. The =>tudy
of part icular cases of the about* induced rapreodntation and their
applications ire beiny studied.
1) n. Hamermbsh, Group Thoury and I ts rtppiications to PhySicjJ.Problems, London, Mdditon-Wesley, 1962.
2 7. Gen^r^li^ed lionpniidl Rbpreountations and Thfeir ftpplications
Tht generjlizod monoini<jl representations ace found to be
central for diuttraB applications in m Jthematical physics . Hur^in
u/u indicate a now applicatiun of them which l&ddt> to s i ,i(,lif i cd -
tions and a*tensions. Let G be a gioup, H a subyroup uf G uiith an
ordered iu f t section l g . / i € - U i I Bomu suitablu icidax set,
end <fl H -? HJ a group humoinorphisin. Let the corresponding genera-
l ized monomial rapresantation of G bu yil/un by H J ( S ) . First ma
note that ouury transitiv/e monumial r upresent at ion of G is J
generalized uionoiuial rGpresentatiun and uonwarauly .
To consider tile appl icat iun, uia ahall 2t.tcjblish the lackey's;
Subyruup theorem in terms uf the ybneralizud muriomial ra^rea^fitJ-
t iur is. In tht> auouu notation lut K be a suDyroup of Gc r
th« bet uf matrices Hj/iSJ^K. To analysd Hv(S)J'K.iiie tiute
that i t ntiud nut Ufa ^enev^illy t rans i t i ve . Hence, uid deuampus-. i t
in to t ransi t ive components. To specify each une of the tron^i t iue
components, we cunaidur 0 the set of d is t inct Ht!K duublu coauts
uf G. Lut Hak6U. I f a . , a art, the d is t inct rfcprea = ntdtii/<J
from the double co&uts 0, we haue U Ha.K = 0.
Muu, consider a l l the H cosets cf G uhich l i e in HaK. Let
ba yivyen by H , H , . . . . , H . Further, le t I = Ha C\ K.X1 *2 Xn
- 34 -
In tUu atoi/e notation i t
( T ;
uht.ru T io a out uf di^Lint-c lut ' t caout.) of L in K. The
^ i ) and ( i i ) uhun J4 ib rcoLr ic t t id tu rndtrix rutjrus
i s KriuWn a^ tive T'ldCKty's i»ub-yi'uup tridaroin.
I'I. Hji'ibiinesn , GruuiJ fhtur1, and Its "^ylicatiuna to
-35-
PHVblCS
It is well known that the rare mode of fission accompanied
by liyht charyed particle emission is potentially capable of
throwing much insiyht into the nature of nuclear dynamical motion
particularly in the last stayes of the fission process. However,
both because of its low probability and a large number of corre-
lated obseruables, this raude of fission has not be studied in full
detail so far. The fission Physics Section has concentrated on
the studies of this muds of fission in the recent years. During
the year covered in this report, most of the experimental investi-
gations carried out in the section relate to fission accompanied
by liyht charyed particle emission. As can be seen from the
detailed write-ups, these investiyations have brought out many
new features and correlations, which should be taken into account
in any theoretical analysis of the process.
As in the previous years, tha theoretical investigations
carried out in the section cjver various aspects of the fission
process, heavy ion reactions and uther related areas of
physics.
-36-
1 . Multipardiiiot'T studies of fragment Waas. Lnurgy andCorrelations ip Long riancie rtluha Particle AccompaniedFission of ^-"U Induced by Thermal Neutrons (R.K. Choudhury,a.n. Nadkarni, P.M. Rama rtao and J.S. Kapoor)
Detailed experimental correlations of fission fragment
kinetic energy, rnasa and alpha particle eneryy and angle ware
obtained by usiny a back-to-bacK yridded ionisation chamber for
fission fragment energy and angle measurements and semiconductor
detectors for alpha particle energy measurements, A thin source
of U (10 <ug/cm ) depDuited onto a thin VVNS foii uas used as
the cathode of the parallel plate ianisation chamber. Tuio semi-
conductor detectors u/ure mounted at the back sides of two
collectors with thin Ml windows to dettct lony range alpha (LRH)
particle alony the eluctric field direction of the ion chamber.
The pulses froin thd two grids, two collectors and LRfl datsctor
were gatud for ternary events and were recorded ewunt by euuni. on
s magnetic tape by means of a multiparameter ddta acquisition
system. Binary fission events mere also recorded for on line
calibration and comparison with ternary data.
Fission fraymfcnt energies were calibrated from the known
energies of tha most probable binary heavy and light fragments.
From the energies of thd pair fragments, the masses of the tuo
merB obtained from the mass and momentum conservation
. Grid pulsa height distributions uere used to determine
the angle ©• of the fr^g.nants 'jith respuct to the ulectric fidld
direction from the foilouiing uxpre^aion connoctiny grid pulsa
height Ug and fragment kinttic energy t, :
wht:re H* is proportional to the frjynunt ranye and d i^ yrid-cathodii
distance. Thu Lon^tants uF th= abuve formula wuro obtained by thu
known yrid distributions in binary fission.
-3V-
Fiy.1 .1 shuua the mass distributions mua^urud for binary
and ternary fissiun ca»eo. Fiy.1.2 stiou/S the uos=ri/ud t/aridU
2000
1(00
J2uoo23
u loo
too
0
-
ik
,, -*&•'
•
•
••• BINARY•""IRA
.V
•
. * ' • •
w *
»*
• • 4 - 1 ^ * U . .
CO 80 100 120 U 0 ISO
FISSION FRAGMENT MASS, AMU
Fig.1.1 Binary and LRA accompanied mass distributions
12 U II II
LRA ENERGY(HtV JFiy.1.2 Total frayrnont kinetic energy E versus t-u
of total frayment kiniit ic entryy £ uith LRA eneryy t ^ , uihicli ha=.
a slDpa of -0.3U6 a= compared to —0.4 obtained by earl ier u/ork of
Gazit et al . The obsurued must (jrobabla ualuijs of LR« any-Le mith
-38-
to the light fragmsnt, { ., versus LRA endrgy, £K artt
shown in Fiy.1.3. Fi^.1.4 shows tha valuB of 5 ^ L for different
liyht fraymjnt na^B^. It is jt*n that 5 ^ ^ IncceaiBj with nais
A.
10 it u u it it n i« itC«A ENERBr E.,IHcV>-
Fig.1.3 LRA anyla with light fragment ©-Lversus
•i to I IIMH1 MAtMENt HAS 1 . AMU
tog
Fig.1.4 Host probabia LRA angla •<*. varsua light fragment maas.upto n a 90 amu and rumains constant for higher ina seis. Thi* roault
doea not support any of the two provious ruauita of Carlss at al /
and Gazit at al '. All the above correlatiana and other detailed
corralations which can UB obtained by thu multiparam&'ur data are
bein<^ analyzed by trajectory calculations to obtain informatiun on
conditions at thu instant uf LRA emission
1 ) Y. Gazit, M. Kata»u, G. Ben-Uauid and ft. Morah, Phy«. fiav/.C4, 223 (1971).
i) C. Carlda, I'I. Aeghar, T.P. Joan, K. Lhastui and U. Signarbieux,Proc. on Phys. and Cham, uf Fission, Vienna, Austria (1969,),p . 1 1 9 .
-39-
HuJLt_ijj.lip_itX- -JistriLution of i'runpt Ganwiu Maya in Lpun IoneJUSTernary Fisajjn uf "*-5fLf (U.K. Lhoudhury, O.L. Mohanakrishnaand V.i.. Ramaraurthy )
Study of thu de-excication pruLu^s of fiosion fray,-n=;nts and,
in particular, thu ineasurbinbrit of the multiplicity distribution
of yamma rays, provide important information on thu properties of
thd excited fraymsnts. In the prasent work we have carried out
measurements of the first and Second moments of thd ydmnia ray
multiplicity distribution in turnary fi&uion ay multiple coinci-
d»ncd tuchnique. Thb i xptirimental method is similar to trut
adopttid in HEf.1, faxcopt that the semiconductor dut=ctor ufas
employed to .neaoure tha aneryy of the light chdrjod particle (LCP)
emittdd in ternary fission. Loinciddncey uibru taken batuxian thu
LCP detector and any onu or both the yam 1a ray detectors. Tha
coinuidoricu gates were usud to yatu the LCP spectra to different
4udrtar3 of an analyser mdinory. Kro.ii the counts pdr Lhann^i for
the oinyiei, dauuld coinndtincas and triple coincidence, it uaj
pooiiible to obtain thu multiplicity distribution pdramotar^ a.-, a
function of LLP enaryy. Fiy.2.1(aJ shouj tha LCP tneryy spectrum.
The oDsoruud uariation Df n and f as a function of LUP endryy,
aro shou/n in Tiy.z.1(b) and Fiy.2.1(c). It is suen that n is
almujt conbtant with LuP tnargy in di8agr{!8mdnt u/ith the earlior2)
result of Ajitunand . The uidth of the multiplicity distribution
aljO does not show any variation uith LCP energy. Hou/euer, the
absolute ualue of g~ av/crayed over LCP snergy is found to be
about 20/i to iQf, laryur than that for thu case of binary fission.
Thin result can bs interpreted to imply that tha fragments in
ternary fission havu a smallar ai/t-r.igG apin aj compared to that in
binary fission. Thti near constancy of «~ uith LCP enaryy
indicates that thu position of LCP d.-niasion and thd interfrd
distinct: at suission are not intercorreldted. This has got
-40-
importJnt i.nplicutiuns on the rajjlt^ of various trajuctary
calculations which ara carried out to deriue information on
scission paramutur^.
BO
T O
4.0
100
?i
80
~28o
z
3 12
• * •
1
H, f »{ | l {J
•
B 10 12 14 16 18 20 22 24 26. LCP ENERGY. M«V) .
fig.2.1 (a) LCP energy spectrum (b) Average number n ve. susLCP eneryy (c) Width t~ varsus i.CP energy
+ Published in Pramana Mai 9, 62J Qac (1977).1) U.S. rtamd.nurthy, R.K. Choudhury and 3.L. Clohanakrishna,
Pramana Vol.8. Wo.4, p.3i!2 (19/7;.2) N.N. Ajitandnd, Nucl. Vhy*. A133, 625 (1969).
3. Uuantitatiud Heaolution of Th-Anowaly+ (ffl, Prakash andU.S. Bhandari*)
Fur Th isotopes thu calcuiutdd fir^t saddle and second minima
of the double-humped barriur are abuut 3 Wan iamer than the expsri-
raantal VdlubS. In an attempt to rejolve this "Th—anuraaly" in terms234
of a third maes aaynimatric minirnuin in tht fission barrier af Th,
Sharma and Leboauf ' hava calculated the fission penatrabilities
through a triple—humped barrier and concluded that while the
-41-
Sub—barrier fission resonance structure is successfully explained,
the punctrabilitias are too low when compared with those throuyh
the double-humped barrier proposed by Back et al . Since such
lou penetrabilities throw tht fission probability fit of Back
et al, completely off, we nave performed penetrability calculations
throuyh a triple—huropeii boifiar whose parameters arc consistent
with the Th-anomaly as well as other recent experimental
evidences ' . It is shown that one can obtain tne correct
penetrability by assu.niny that Back et al actually determined the
parameters of the swound saddle, third minimum and third saddle
for ^ Th from an analysis of th=ir (t,pf) data. The height of
the first saddle is assumed to be that yiven by microscopic
calculations for this nucleus. Barrier shapes used in the
Back et al Sharina & Prakash andLoboeuf Bhandari
a) b)E 1, w1 6.1b,1.0 6.15,1.0 3.0,0.5 3.0,0.5
E 2, w2 j.1,1.0 3.1,1.0 2.5,1.2 2.5,1.2
E , w 6.5,0.75 6.&.0.33 6.S.1.U 6.15,1.2
E^, w^ - 5.5.U.23 3.1,1.0 3.B5,0.5
E c, u - 5.8,0.31 6.5,0.75 6.2b,1.0
present uork (sea table above and ref.5) are consistent with the
Th-anamaly as well as other recent evidences in favour of a third
uell at a deformatijn much larger than that of the second well.
Hlso, they explain tha sub-barrier fission resonance structure of
Th and provide a quantitative resolution of the Th-anomaly
in terms of a triple-humped barriBr.
+ To be published in Ph/a. Rev.L.* Visitor from Pohiavi University, Shiraz, Iran.1) R.C. Sharma and J.N. Leboeuf, Phys.Hey.CU, 2340 (1976).2) B.H. Back tit al, Phya.Rav.C9, 1924 (1974}.3) J. Blons et al, Piiya.Hew.Lett., 3_b, 174y (197b).A) J. Caruana et al, Nuil.Phya.A285, 205 (1977).5) fl. Prakaoh ^nd B.5. Shandar.i, Phys.rteu. (to be published^
-42-
4. Analysis qf Fragment MriLjldr Distributions in fissionIndue fed bv Heavy Ions (Rekha Uovil, fi.K. Choudhury andS.S. Kapoor)
The fission fragment angular distributions in the fission197 209
of Au and Bi induced by B,C,N and 0 ions with bombarding
energies in the range of S to 10 flev/nucleon measured by
Viola et al ' have beun analyzed by us in terms of th» statistical
theory with the following aim in views How do the values of
1 characterizing compound nucleus formation determined fromc r i t
the analysis of fragment anisotropy data compare with the
eystamatics of 1 -,. from heavy ion fusion cross-suction data?
In the present analysis of the above fragment anisotropy data,
the values of 3B f f ( * /*»!) calculated by the rotating liquid drop
model are used as inputs. Contributions from multiple chance
fissions art) taken into considerations by calculating values
of f{" I f^. (*»*» 1c r i t»
Ex) "
3ln9 ths level dsnsity formula
developed earlier^). Assuming that fission is contributed only
by 1-waveB upto a maximum of 1 .. (which also from the compound
nucleus) the sum of fragment angular distributions from fissions
occuring at different.stages of da-excitation era obtained. Tor
each cast the value of 1 uhich reproduces experimental aniso-
tropy is then deduced. Ths values of 1 .. deduced from fragment1)
anisotropy data are compared with the Bias medal ' for the calcula-
tion of 1 . which is based on ths observed systematic* of heavy
ion fusion cross-sections* The results of present analysis show
that valua3 of i c r i t can be determined,from simple measursorents of
the fission fragment angular distributions.
1 ) Viola at al, Phya.Rev. 129, 2710 (1963).2) 5.K. Kataria ut al, Solid State Phys. k Nucl.Phys. Symposium,
India, 1977. '3) R. Bass, PhyS.Lett. 47B., 139 (1973).
-43-
5. Transmission Through Blharirunie Oacilxator Potentials;Application to Oouble-Huinued, fission Barriar* (fl. Prakash)
Exact penatrabiiity calculations throuyh a duuble-humpsd
barrier (OHH) whose •ucond well or the Second barrier has been
taken to be bihormunic in nature, have been performed. Tha solid
curt/6 in Fig.5.1 shows the potuntial enurgy curi/u of a UHB whoje
second well is biharmunic and the Hotted curvu ihoua a barrier
fur which tha harmonic curvature parameter of the second wall is
2 ti u w,/(w_+w_). Penetrability calculations throuyh auch a
barrier madu Ufl of three parabola* raueal that thd transmission
is roughly the samt as that throuyh the biharmonic barriar. The
position of tha second wall of auch a biharmonic; barriur shifts
to the riyht as shown by tfA in Fiy.5.1. The shift (<a,-Ca. }
incruaaaa with thu ratio ( w^/ ^ w ). A laryur value of £ x
inuans a larger valua of the moment of inertia pararnutdr (21/ H *" )
for the nucleus in the second well. A typical 15^ fractional
increase in the position of the second well leads to a 31 fract-
ional increase in "I" in the solid-nucleus model and a 3U^ fract-
ional increase whun the nuclear rotation is considered as potential
motion of an ideal liquid in a riyid rotating Shell. A much larger
fractional increase is expected on tha basis of the more realistic
superfluid model. Penetrability calculations throuyh a OHB uho.se
second saddle is taken to be biharmonic shows that the salient
feotuces of transmission like the resonance structure and the
order of magnitude at transmission are more or le=>8 preserved.
Thus it is seen that a family of fission barrier shapes exist
which give roughiy the same penetrability as that through a UHB
made up- of harmonic wells and carriers. This leads to an
uncertainty in the position of the barrier uxtramd as determined
from an analysis of the experimental data on fission probability
and angular distributions.
-44-
4 -is
LJ
u. 2
QO 02 04 08DEFORMATION
Fig.5.1 Solid line DHB with biharmonic second wall. Dashadlina DHB with curvature parameter for second wall
• To be published in Journal of Physics, Gt Nuclear Physics.
t. TfSO Response to frawnonts from Light Charged ParticlsAccomaanlsd fission of "°\J (N.N. Ajitanand, K.N. lyemand S.H.S. llurthy)
lyanyar
In this study uie haue u6ed the TfSD (Thin Film .Scintillation
Oetuctor) to detect the fragments in light charyad particle atcom-
lanied (LCPH) fi3Sion. Thu TFSiJ pulse heiyht distributions obtained
due to binary and LCPA fission fra3menta ara shown in Fiy.6.1. It can
be seen that thu peaks in the LCPA fission are shifted to low&r
channels as compared to thu binary fission peaks. The peak to valley
ratio in the LCPA fission distribution is significantly larger than
in the binary case. To interpret these results the response function
of thb TFbD bajed on an expression for the specific luminescence
was used. The pulsa height calibration was done by calculating thefi B
response L. and L using the values of £/ft and i- at the most probable1. n
-45-
11 yfib and heavy fragments in binary fission and assigning them
CHANNEL NO. - '
Fig.6.1 TFSD puXse height diatributions for binary andLCPA fission
to the corresponding peaks in the obsarved TfSD pulse heiyht dis-
oiny theLCPA LCPA
tribution. The LUP* peaks then gav/e L, ,and i-u ,L n
known information on the eneryies of binary and LCPA fission
fraymenta ', the TFSD data uas analysed to obtain the ft and I of
the must probable light end heavy fragments in LCPA fission.
The ualuee obtained for the LCPrt fission fragment masses and
charges are given in Table 1 . The errors indicated are for a 5%
uncertainty in peak channel assignment in tne TfSO distributions.
Results show that compared to binary fission, the LCPft fission
masses and charges are more shifted for the light fragment than
for the heavy fragment. A possible interpretation of this result
is that on the average the light fragment contributes more often
to the formation of the LCPA.
-46-
Table 1
EyaluatIon of frajmapt properties by cornbinintemiconductor an,d TFSQ msaauramants of ^
Moat probabls l igh t dost probable heavyv/iiluaa fr*umant valuee
amu (rieV) (F]eV)
Binary 96.06 37.76 100.42 139.14 54.24 69.91f issionLCP* f i 92.5 35.u 92.82 1.J3.5 55.0 64.77
+1.U +Q.d +1.U +Q.8
1) N.M. Ajitanand, Nucl . Inatr . 1 Hath. 143 (1977) 345.2) '.Gazit, •*• KatdSi, G. Ben Oauid and R. flaroh, Pbye. Rev.
C 4 (1971 ) 22J.
7 - tmisaiun of. Enermtic LXyht Chargad Particle (^»1.2) Infast Nautrun fTatiljfi of Z35U (0.I1. WadkJrni, R.K. Choudhury,j . 5 . Kapoor, P. Krishndrajulu* and G.K. Pbhta*)
The object of the prasant work uias to compare the yield a
energy spuctrum of prutons, tr i tons and alpha part icles in f ~uiaue
neutron f ission with those in thurraal (a-uawa) f ission of U .
finsion fragments uera dstdcted by muana of an ionizatian chamber
whose cathode was coated with a thick (*» 5 mg/cm ) U source
ind individual l ight charged particles ware detected by means of
i A £-E semiconductor detector talescope, the thickness of A t
and t detactors beiny 63yU and 5UUM respectively. The coincident
A i- and £ pulses were recorded, ev^nt by event, on a paper tape
by means of a 3 parameter data acquisition system for detailed
o f f - i i na analysis with a computer. The coincident & L and L pui3ua
uijre altso fed to a Particle Identi f ier (^'1) uni t , fabricated by
Electronics Oii/ision, BrtRu, Jnd thu PI output uus recurded in a MC/t.
The enarjy spictrum ( A t + E output) uas fed to another FICn which
was r luted, by the t r i tun Jnd alphd pdrt icla PI pulses, into the
two haluas of the I1CA, Fissiun a^ well as LCP—fiosion
-47-
uitre monltorad and the maasuramunts nitre carried out at incident
neutron energies of 12U, 23u and &00 keV and the latter were
yBneratud by Li(jJ,n) Ba and T(p,n) He reactions U3ing the 2 Hal/
I/an de Graaff accelerator at 11T, Kanpur. Each of thBse fast neutron
runs was precodud by a thermal neutron run which was carriud out by
thermaliziny the Fast neutron beam.
Fig.?.$ shows the particle identifier [(it + £) XtJ specLra
•rifr120 KeV
TRITONSLRA
THERMAL
eo
40 >Z
<
ao or
10 14" 6 10 U
E:NERGY IN MeV22 26
Fig,7.1. Total energy spectra corrected fo*- tnetgy loss.
Qbsurued in 12u ks»U and thermal neutron fission runs, where the
alpha particle peak is seen to be separated fro.ii tha triton and
proton peaks. Fit}.7.1 shows the inargy (A£ + £> spectra in these
two cases, corrected for the tneryy loss in ths Source, gas and
aluminium anode foil. Preliminary results indicate that triton
yield in fast neutron fission increases substantially ( ~ 200^)
compared to that in thermal fission, whureas the change in anargy
-48-
spectra is not so striking. Further work on this project ie in
proyruas.
24, ,60
"hP T
. v.
Cfl 8
I*O
= 120 KeVALPHAS
•• r i L..-.X.-I i-**•'
« -
i= THERMALALPHAS
-.- I .- - . ,
40 80 240 280 320
A E x E CHANNEL NUMBER
Fig.7.2. Particle Identifier apactra
40
20
0
40
20
0360
• Indian I n s t i t u t e uf Technoloijy, Kanpur.
-49-
NUCLEAR PHYSICS
The research programme at the Van de Graaff laboratory
includes Nuclear Reactions and Nuclear Structure Studies
(both experimental and theoretical) as well as use of ion
beam techniques for applied research.
The experimental programmes have centered around (p,n),
(ptt") and (o(,oO studies. Considerable effort has been
devoted to the theoretical studies for nuclear induced
reactions ae a part of our interest in the Nuclear Data
Programmes. Nuclear Structure, Pion reaction, (p,2p) and
other knock out phenomena, ion-ion potentials and heavy
ion collisions are other areas where theoretical offer has
been directed.
Production of Burface alloys by ion implantation and
blistering studies by helium ion bombardment of metal
surfaces have been carried out in the area of applied
research with ion beam techniques.
-50-
1• Real and imaginary parta of the nucleus - nucleusinteraction using a microBcoplc approach. (tJ.K.. Guptaand S. FaTIas)
The energy density formalism is extended into thecomplex domain to calculate both the real and lmapirmryparts of the ion-ion potential. Recent nucleon-nucleuBpotentials calculated by Jeukenne, Lejeune and Mahauxusing Reid's hard core nucleon-nuoleon interaction areemployed to generate the complex potential energy densities
required in the calculation. The computed potentials are• 2)in good agreement with the phenomenologieal values '. The
computation of eilastic scattering crosr sections foridentical lone is in progress.
1) J.P. Jsukenre, A. Lejeune and 0. Mahaux, Phys. Rev. 0)680 (1977)
2) 3.K. Gupta and S. Kailas, Phys. Letts. 2l§, 398 (1978)
2. Volume inte^yals of nucleon-nucleus optical potentials."nmailas a.nd S.K. Gupta)
Volume Integrals of both the real ' and imaginary ' partsof nucleon (n ard p) nucleus optical potential are computedusing the existing phenomenological analysis for A = 10-238.These results are in good accord with the Jeukenne-Lejeune-Mahaux (JIM) rajdel'' which employs Reid's hard core nucleon-nucleon interaction. The integrals for neutrons and protonsare also fittel with an empirical expression
where t = 1 for protons and -1 for neutrons. *X and J~tare the coefficients of isoscalar and isovector componentsof the volume integral. The second part of the expressionrepresents the effect of volume and surface form factors
of the pott ivtlal and K i;< thu ra^lo of their strengths.The above expresaion describes the volume Integral data ofprotons and neutrons adequately.
1) S. Kallaa and 3.K. Gupta, Phys. Rev. £T£, 2236 (1978)2) 3. Kaila8 and S.K.. Gupta, Phys. Letts. JJLB, 271 (1977)3) J.P. Jeukenne, A. Lejeune and C. Mahaux, Phys. Rev. C16
80 (1977).
3. Comparison of nucleon scattering cross aections withfoie JLM microscopic optical model. (S. Kailaa andS.K. Gupta).
In analysing the nucleon-nucleus scattering data, it iecustomary to use phenomenological optical potentials and varythem suitably to best fit the experimental data. However,this approach suffers due to ambiguities in the potentialsets determined phenomenologically. A better approach willbe to predict the nucleon-nucleus potentials from a micros-copic calculation starting from nucleon-nucleon scatteringdata and use them in the cross section calculation. An attemptin this direction has been made by introducing the JLM micros-copic nucleon-nucleus optical potentials ' in a conventionaloptical model programme ' and calculating the elastic eoatter-ing cross sections for a large number of nuclides for a rangeof nucleon energies. These microscopic potentials in general,predict cross sections which are in reasonable agreement withthe experimental data. However, some refinements of thevarious potentials are needed to best fit the data.
1) J.P. Jeukenne, A. Lejeune and C. Mahaux, Phys. Rev. C16.80 (1977).
2) T.P. Viyogi and N.E. Ganguly, BARO-I-361.
-b2-
4. Fluctuation analysis of Ca(p.n) 3c total excitationfunction from 1.9 to"5*TT MeY. (Gulzar Singh*. S. Kailaa.A. Chatterjee, S. Saini, M. Balakrishnan and M.K. Mehta).
The total excitation for the Ca(p,n)*8Sc reaction
measured earlier ' has been subjected to detailed fluctuation
analysis. The peak counting, Fourier analysis and the
auto correlation methods have been used to extract the
coherence width C and it is determined to be ^ 6 keV.
This has been used to obtain the level density parameter a.
a = 5.48 MeV . The excitation function variance (C(o)) aa
well aa cross section probability distribution indicated
an insignificant direct reaction contribution.
• DAB Research Fellow, Pinjab University.
1) Gulzar Singh et al, NP & SSP 3ymp. \ofB, 29 (1976).
5. Calculation of (n.2n) cross sections around 14.5 MeVusing an integrated preequilibrium-cum-statistical model.(A. Chatterjoe and S.K. Gupta).
The absolute values of the cross sections for the (n,2n)
reaction around 14.5 MeV for nuclei throughout the periodic
table have been calculated using an integrated preequilibrium-
•cum-Btatistlcal model approach. The preequilibrium component
is calculated using the Griffin-Williams ' exciton model
employing the global value of the parameter occurring therein
as determined by Braga-Marcazzan et al ' for (n,p) reactions.
In Fig.5.1(a) the results are compared with the experimental
cross sections as compiled by Kondaiab/^. The calculations
are in good agreement with the data for the heavier nuclei
but for low A and small excess residual energy, \J-n- E h~ S h >
they are discrepant. In Figs. 5.1(b) and 5.1(c), it is seen
-53-
that the histogram of <T t I °~^he0 peaks at 1.0 forthe present model Instead of 0.8 for the purs statistical-equilibrium (EQ) model.
CROSS SECTIONS FOR IME <n,2n> REACTION « I I t 5 >
USING PC - EO MODEL.
Fig. 5.1. Cross Sections for the (n,2n)Reaction at 14.5 MeV using PE-EQ Model.
1) J.J. Griffin, Phys. Rev. Lett. JJ, 478 (1966).2) G.M. Bragga-Marcazzan et al, Phys. Rev. £6, 1598 (1972)3) E. Kondaiah, J. Phys. A7, 1457 (1974)
6. Resonance spectroscopy of the nucleus _Ti.(A. Chatterjee, S. Saini, 3. Zailas, H. Balakrishnanand H.E. Hehta).
The levels in the Ti nrileus in the excitation energyrange from 7.8 to 9.5 MeV have been studied by means of the
Ca (c<,c<) Ca reaction. The excitation function for thisreaction has been taken at the four laboratory angles: 84°,120°, 137° and 165° for J MeV < E^ < 4.75 MeV. Many anomaliesare observed in the excitation function and some of these
1 2)correlate well with resonances which have been seen ' ' Inthe 40Ca (o<, Y)44Ti reaction. A multilevel R-matrix
-54-
analysis to extract the spins and parities of the popu-lated levels is underway.
1) W.R. JHxon et al., Phys. Rev. £1jj, 1896 (1977).2) J.J. Simpson et al., Phys. Rev. C4, 44? (1971)
7. Nuclear structure of scandium isotopes (S. Saini andM.R. Gunye*).
A large amount of experimental data is now availableon the pf-shell nuclei with the advent of heavy-ion inducedreactions in recent years. This has revived the interestin the studies of the structure of these nuclei. The earlytheoretical investigations on the structure of the pf-shellnuclei were carried out in the framework of spherical ' andthe phenomenological deformed rotation-particle-coriolis-coupling (RPC) model '. The restricted shell model calcu-lations in a pure ( f" y/3 ) configuration were able to accountfor a large amount of the then available experimental dataon many pf-shell nuclei. It is, however, quite obvious thatthe static and dynamic properties of many of the observednuclear states can not be described in terms of such restri-cted shell model calculations. The recent studies'**' withthe extension of the shell model space to include completepf-shell, have led to a significant improvement in correlatingthe observed properties of Ca isotopes and the isotopes ofSc and Ti with A ^ 44. Such exact shell model calculationsin the configuration space of the full pf-shell are notfeasible for heavier elements with A y- 44, because of theformidably large matrices that are to be diagonalised.However, in view of the substantial pile-up of the experi-mental data, particularly on high spin states populated inheavy ion reactions, it is worthwhile to make t. systematicstudy of these nuclei employing a realistic nucleon-nucleon(KN)
-S5-
interaction in a large configuration space of the
complete pf-shell. The high spin states have probably a
simpler nature and their study may provide a significant
insight into the intrinsic nuclear structure.
The present calculations for scandium isotopes
(A = 44-48) are performed in the framework of Hartree-Fock(HF)
projection-^ formalism employing the Kuo-Brown ' effective UN
interaction modified by Mcffrory '. The calculations were
also done by using a slightly different version of the modi-
fied Kuo-Brown NN interaction '. An inert Ca core is assumed
and the single particle orbitals f7y , p3, , f . and
D|/ are included in the active space. The single particle
energies of these basis states are taken from the observed
spectrum of Ca. The HF calculations with axially symmetric
deformations show that there are many energetically close
Intrinsic states of the scandium isotopes. This necessitates
a band-mixing calculation ' to determine the admixture of
various close-lying intrinsic states in the computed nuclear
wave functions. The nuclear wave functions obtained from
the lowest six HF intrinsic states by band-mixing prescription
were used to extract nuclear energy levels, static electric
quadrupole and magnetic dipole moments, and the electromagnetic
transition probabilities. The calculated and the experi-
mental *°' energy spectrum for Sc is displayed in Fig. 7.1.
The low-lying negative parity states in this nucleus are very
well explained by the present calculations. The electric
quadrupole moments and the B(E2) values were calculated using
the effective charges g.p = 1.33« for protons and en = O.64e
for neutrons. The experimental calculated electromagnetic
properties of the low-lying negative parity yrast states are
compared In Table 7.1.
-56-
Table 7.1
The static moments for the ground state
P-calc^ S-SL1U- {Mobs = 5 3*
The B(B2) and B(M1) for Y-transitionsbetween the negative parity yrast statesin 47sc are listed below:
J i
3 /2
5/2
5/2
11/2
9/2
9/2
9/2
15/215/2
13/2
i3/2
1/2
J f
7/2
3 /2
7 /2
7/2
5/2
11/2
7/2
11/215/2
9/2
11/2
3/2
B(B2, J± -^
Expt r e f '8>
292.2
-4551 - 6 1 1! ! 6 ? 5
109.4 ± 30.9
<25544
2.02 - 1075.0
2 # 6 2 - 2!42
< 272<2458
<2901
O A
Jf) e. fm*
Caic.
91.32
41.48
3.55
44.34
38.59
3 . 7
15.66
21.7633.00
17.81
4.96
79.7
Bxptr<jf'8)
0n43 + 0.34
0.17 + 0.10
0.39 + 0.23
0.043 ±0.025
0.29 -2.92
0.054
Calc,
1.78
1.50
2.21
0.49
4.41
0.30
0.43
* Member of Theoretical Reactor Physics Section
- 5 7 -
5a.Ui
z
u 2
7
19
EXPT CALC. SM
fig. 7 .1 . Energy Spectrum of
1) J. McCullen, B. Bayman and L. Zurmick, Phys. Rev. 134.B515 (1964)
2) F.B. Malik and W. Scholz, Phys. Rev. 150, 919 (1966),Phys. ttev. 152, 1071 (1967)
3) J.B. McGrory, B.H. Wildenthal and B.C. Halbert, PhyB. Rev.C2, 186 (1970)
4) J.B. McGrory, Phys. Rev. C8, 693 (1973)
5) C S . WsiTke and M.R. Gunye, Phys. Rev. V&, 1084 (1967)
6) T.T.S.Kuo and O.B. Brown, Nucl. Phys. A114.S41 (1968)
7) 3. Saini and M.R. Gunye, J. Phys. G.4 to appear inJ. Phys. G.
-bB-
8) M. toulemonde, L. Deschenes, A. Jamshidi and N. Schulz,Nucl. Phys. A227. 309 (1974), ibid, 325 (1974)
9) J.M. Delbrouek - Habaser, Y. Baudinet - Robinot andJ. Vervier, Nucl. Phys. A227, 257 (1974)
8. Direct and collective nucleon-capture. using micros-copic optical potential. (D.R. Chakrabarty and 3.K. Qupta),
The fast nucleon capture essentially takes place through
direct and collective processes. In the collective process,
the projectile excites the target to the Giant Dipole State
(GDS), itself falling into a bound orbital. The core de-
excites to the ground state by &.f(\. de-excitation.
The particle-vibration coupling, responsible for the exci-
tation of the target depends on the iso-vector part of the
nucieon-nucleus optical potential. Jeukenne, Lejeune and
Mah..u>: (JLM) have calculated ' recently, the total optical
potential along with the complex iso-vector component, from
a microscopic approach starting from Reied's two body inter-
est 'on. The capture cross-section data, demand to be a
testing ground for the potential. We have calculated the
capture cross-section usiag the microscopic potential for
the case 208Pb(n, </).
2)The form of the particle vibration coupling is '
H
where oC is the operator exciting the GDS, \ZI(TJ is the
optical potential
and the capture cross-section from the initial continuum
state \l'l'\to the final bound state I If}' i s
, 1000U
15 11
En(MeV)10
IT
Fig. a.1. Experimental and Theoretical Capture CrossSection to different states in 2°9pb.
-6U-
where D and I are radial Integrals. D describes the direct
capture and I, the collective capture and contains in the
integrand Vi(r) and a constant relating to the sum rule
limit.
Potokar" , for fitting the experimental data, found
that Vj(r) should be made complex. The calculation by JLM
predicts the complex isovector part. We have applied their
prescription to calculate Vi(r) and the total optical208
potential for neutron on Pb and the continuum wave func-
tions were generated from that. B.3. wave functions were
calculated from a real WS potential.
The results of our calculation is shown in the figure 8.1,
The agreement, though not ^ood, can be considered reasonable,
aince effectively there was no adjustable parameter in the
whole calculation. However, the disagreement may of course
point towards some imperfection in the microscopic potential
calculation.
1) J.P. Jeukenne. A. Lejeune and C. flahaux, Phys. Rev.£!£, 80 (1977).
?) G. Longo and F. Saporeffi, Nucl. Phys. A199. 550 (1973)
3) M. Potok-ir, Pbys. Lett. 46B, 346 (1973)
9- 19F(ol,n)22Na reaction (M. Balakrishnan, S. Kailas andM.K. Mehta).
From the excitation function obtained in the 9F(o<fn)22
Na reaction, eight well resolved resonances have been
analysed for the various resonance parameters. A detailed
paper including strength function analysis has been prepared
for publication.
-61-
10. Level scheme of 81Rr( Y.K. Agarwal*, G.V.K. Baba,S.M. Bharathi*, V.M. Datar, H.C. Jain* and B. Lal+)
Q * R 1
The level scheine of Kr was studied through the Br
(p,n) reaction with the 5.5 MV Van de Graaff accelerator.
•/* -ray excitation functions, V- V coincidences and convers-
ion coefficients of some low lying transitions measured
earlier were U3ed for this purpose. New levels were proposed
including a level at 50 keV associated the a . neutron
orbital. The half life of this state was measured taking
coincidences between neutrons feeding that level and the
50 keV gamma. An n- V*discriminator employing a NE 215
liquid scintillator was used to cut the gamma background in
the neutron detector. The half life was found to be 4.0 +
0.4 n sec.
Tata Institute of Fundamental Research, Bombay 400 005
Multi Disciplinary Research Scheme, BARC, Bombay 400 085.
11. Search for bound polyneutron nuclei in the fission of J U(C./.K. Baba, V.M. Datar, V.K. Bhargava*, R.H. Iyer *,S.G. Marathe* and V.K. Rao*)
There have been several attempts ' to detect a particle-
bound polyneutron system *V\ with x = 2-4. Recently Detraz '8 6
has reported evidence for the production of n or n in a
24 GeV proton interaction with tungsten. During the course of
the present work Turkevich et al^' reported a negative result
for the production of n in a 700 MeV proton interaction
with uranium.
Since in thermal fission of U several neutron rich
nuclei like He are produced, polyneutron nuclei, if they exist,
can also be expected. The present work reports on a search
for a bound palyneutron nucleus in fission.
-62-
Thia search has been made with two probes viz. Rb andPb. In the first experiment upto 12 gma. of purified RbNO,,wrapped in a 0.3 mm thick Cd absorber, was irradiated forperiods of upto 9 hrs. near the core of tne reactor APSARA.91 92 6 8J • Rb is expected to be produced by ' n through xn react-ions. The 91'92Sr activities (Ty2 = 9.67 hrs. and 2.71 hrs.respectively) were radiochemically separated and counted
nt noin beta-gamma coincidence. There was no y'f* Sr activitydetected above the background counting rate of 3/hr. Assuming
91 92a cross section for the production of 3 I»* Rb of 100 mb,an upper limit of 10"'/fission for the yield of ' n couldbe placed for the production of these neutral nuclei.
In the second experiment upto 12 gms of pure Pb(N0,)2 w e r e
irradiated and the Bi activities which are expected to be212 21 "*>formed due to the decay of *•"•* '-'pb were radiochemically
212 213separated and counted for the alpha-decay of ' Bi witha surface barrier detector. No counts above the backgroundrate of 1 count/hr could be seen and here again an upperlimit of 2 x 10" /fission could be placed for the productionof ' n, assuming a cross section of 200 mb for the produ-ction of 2 1 2' 2 1 3Pb.
Thus it is concluded that if bound polyneutron nucleiexist, they are not emitted in thermal fission of U witha yield of more than 2 x 10 /fission.
* Radiochemistry Division, BAHC1) 3. Fierman, S.S. Hanna, Nucl. Phys. A251. 1 (1975)2) 0. Detraz, Phya. Lett. 66B, 333 (1977)3) A. Turkevich et al., Phys. Rev. Lett. 2§, 1129 (1977)
- b l i -
12, A method of alternate recording of ON and OFF resonanceV-spectra at a last rate. (D.R. Chakrabarty, H.H. Ozaand N.L. RagoowansiT-
induced capture resonance study is met with
a neutron induced background spoiling the spectruw upto 7 to
8 MeV. The carbon build up, which is the source of the neutrons,
may introduce a systematic unestimable error if we measure
the yield of ^ 8 MeV resonant '/-ray by taking very long run
ON resonance Bpectrum and then very long run OFF resonance
spectrum. This error can be reduced by recording the spectra
alternately at a fast rate.
The circuit, we are going to describe, essentially does
thia job. After collecting say ON resonance spectrum in one
part of the memory of MCA for a specified CI. Counts, the
magnetic field of the analysing magnet of the Van de Graaff
accelerator, at once changes to a value corresponding to the
OFF resonance beam energy. However the magnet takes some
time X^ t to settle to OFF resonance value and both the
C.I. sclar and MCA are inhibitted for this time tfl, after
which other part of the memory starts collecting OFF reso-
nance spectrum and the cycle repeats.
Fig. 12.1 describes the circuit. At the end of pre-
assigned counts, C.I. scalar gives out a square wave, the
falling edge of which triggers the negative edge sensor
circuit which produces a spike which in turn triggers a
timer whose output is another square wave of controllab]s
width tfl. The spike also triggers a flip flop FF1 which
switches on or switches off a definite current A I into the
magnet coil to provide ON or OFF resonance conditions.
The inverted output of the timer inhibits counting in C.I.
scalar for time t^. The complimentary outputs of flip
flop FF2 triggered by falling edge of timer output are
combined through AND-gatss to inverted timer outputs to
-64-
Fig.12.1. Circuit diagram for generat-ing different timing pulses.
v* ttigttens 01
FF2(0)
FF2(8l
ROUTER1
ROUTER2
i-0
OUTPUTS FROM VARIOUS GATES
Fig.12.2. Timing sequence of the pulses.
-65-
derive gating pulaea fed to the router 1 and ? of the MCA.
Fig. 12.2 tells us thus, that when FF1(Q) and so the
magnet current changes, both H1 and R2 are 0 for time t<j and
then either R1 or R2 goos to state 1 alternately. This means
that MCA remains inhibitted for time tfl after magnet current
changes and then alternately two parts of the memory collect
data depending on whether beam energy is of ON or OFF resona-
nce value.
13. atrong absorption model for plon Induced knock-outreactions. (B.K. Jain and S.C. Phatak*)
A strong absorption model for pion-induced knockout
reaction is proposed. The distortion of the incoming and
outgoing pions has been included by (i) computing the pion
wave number in the nuclear medium (dispersive effect) through
dispersion relation and (ii) excluding the central region
of the nucleus where the real pion absorption is dominant.
Various approximations used in the impulse approximation
theories are examined. The theoretical results are compared
with experimental data. The agreement between the theoretical
results for separable off-shell extrapolation and the data
is good.
(published in Nucl. Phys. AJ02, 401 (1978) )
* CSIR Pool Officer
14. Off shell effects in (TT"*.' ]f"V) reaction on 1 20.(S.C. Phatak* and B.K. Jain).
Several experiments have been done for (TT , ~ITN) react-
ions. In the theoretical analysis of these reactions,
normally the "impulse approximation" framework is used,
vhere the cross-section is written as
7 ^ J - k'« J
Here F. . is the kinematic factor, P(Q) is the momentumkin • *Z£ . tsW/distribution of the nucleon in the nucleus and <Xcr
is the free TfN cross-section. In the knock-out formalism
the off-shell TTN t-matrix is required. The factorized form
appearing in eq. (1) is valid only if off-shell effects are
not important. In proton - induced knock-out reactions this
probably is true aince the energy-variation of the free
nucleon-nuoleon cross-section is small. Howover in case of
( It , TTN) reactions in the 3-3 resonance region, these off-
ahell effects could be very important. For the investiga-
tion of this point vre have used the framework of strong absor-
ption model, where it is assumed that the knockout process
takes place on the surface of the nucleus. Inside the nucleus
mainly the absorption (real) of pion occurs. The radius of
this strongly absorbing sphere is giver, by "ft" R (B^) = <3^bs(E-,,- ). Based on this idea the transition amplitude ia given
r>where 0. = (1 - A" ), Q is the momentum of the recoiling nucleus,
N is the wave function of the bound nucleon and L-rtf is
the off-shell TT — N scattering matrix. In terms of th9
asymptotic momentum of the outgoing protons (KN ) and the
32
24
1"5 16
b
. Klssllngtr_ _ . Scparibl«(n.3.6fnT')
. . S«parabl«(LMM)» _ _ On »h«ll
40 10 120 160
4.0
abK (»• l.t lm~')
. S.tpanblt (8 . 3.6 tnT'). . Separable (LMM)
o
I
Fig.14.1. Angular distribution of protons Fig.14.2. Energy spectrum of protoia
-66-
local momenta of the incoming ( K ,r) and outgoing (K^) piona,
the relative momenta \t_ are given as
The local plon momenta K _ (K ) are determined from the dis-
persion relation,
fa)where P , C and f are the asymptotic momentum, nuclear density
and the TT N forward scattering amplitude, respectively. The
best choice for E seems to be
C5)where r, f.c f ^/^ are the lab. momenta of incident plon,
cattertd pion and nucleon, respectively. Eg is the binding
energy of the knocked out nucleon in the nucleus. For the T
ooth 3 and P-waves have been included. The off-shell part
of the 7T-N t-matrix is parametrized as
The off-shell form factor ^ is chosen to be l//kj= K Ik *•*•/•<) ~'
for P-wave and \f (K) = (K2 + p2) for $ -wave.
The numerical results for the energy spectrum of protons
:.nd the angular disxribution of pions are shown in Pigs.
14.1 and 14.2 at 112 MeV of incident energy. Two curves
correspond to fi = 1.8 fm and 3.6 fm . Other two curves
are for the Kisslinger form ' and the multichannel separable
-69-
2)model of l.onder,j«n et al. ' We have also plotted resultscorresponding to the on-shell factorized prescription (eq.1).These figures clearly show that the results are quite sensi-tive to the oft'-shell form. The use of factorized on-shellvalue Beeras to underestimate the cross-section.
* CSIR Pool Officer1) L.3. Kisslinger, Phys. Rev. £8, 761 (1955)2) O.T. Londergan and B.J. Moniz, Phys. Lett. 45 B. 195 (1973).
15. Scrutiny of the impulse approximation for (p.2p) reaction(B.K. Jain)
The co-planar symeetric (p,2p) reaction is widely usedfor the study of single particle aspect of the nucleus. Inthese studies impulse approximation 1B used to extract theinformation from the experimental data. Since this approxi-mation seems to be valid above 100 MeV in the elastic scatter-ing, same region of validity is thought to hold for the co-planar symmetric (p,2p) reaction. However, due to the factthat the latter reaction differs from the elastic scatteringin momentum transfer and the form factor, the validity of theimpulse approximation requires examination for the knock-outreaction. Following the KMT approach, we have studied thecorrection for * 0 in the region 100-300 MeV for Is and Upknocked out protons. The results are shown in Figs. 15.1 and15-2. From them it may inferred that for low binding energy(r^ 10 MeV) protons the correction is negligible above 200 MeV,while for high binding energy ( 4 0 MeV) protons it isnegligible above 250 MeV. Below these energies the impulseapproximation results could be as big an overestimate as afactor of 1.5.
1) A.K. Kerman, H. McManus and R.M. Thaler, Ann.Phys. 8,551 (1959).
I Transition Matrix | 2 { ret. units)
O
P>
o3!(0
1
1
1
/
/
^ ^ i -
c
1
' 1
I//
/11
* =•o
1 11 "
1
' //
1
11f1
- oo
- %
I
mn
Eno
(D
O
X)
-Q
VI1
oo
0<J
ro
•a
K)
Oo
[Transition Matrix | z ( re|. units)
O
-71-
16. Nuclear friction and the imaginary part of the nucleus-nucleus Interaction potential (Bikash Sinha)
Using semi-classical approximations, the phenomenolo-
gical form-factor of nuclear friction is derived from the
imaginary part of the nucleus-nucleus interaction potential.
The results obtained for the friction co-efficient a^ree
well with experimental data on damped collision for two
nuclei.
17. Average nucleon-energy excitation and energy dissipationin heavy-ion collision (S.C. Phatak* and Bikash Sinha)
The average energy of excitation of a nucleon for two
colliding nuclei has been computed ut-ing plane wave inter-
mediate states. The classical co-efficient of friction has
been estimated in terms of the imaginary part of the optical
potential.
* CSIR Pool Officer
18. The imaginary part of the nucleus-nucleus opticalpotential ( S.C. Phatak* and Bikash Sinha )
The contribution to the imaginary nucleus-nucleus
optical potential has estimated by evaluating the energy-
conserving second-order term in the perturbation series.
The incoming nuclear field is supposed to excite nucleons in
a nucleus in this calculation and the nuclear excitations are
approximated by particle-hole excitations in a Fermi gas.
The resulting imaginary potential compares favourably with
phenomenological potentials.
• CSIfi Pool Officer
-72-
19. The nucleus-nucleus interaction potential using density-dependent delta interaction (B.Sinha and S.A.Moszkowski)*
The interaction potential between two nuclei has been
calculated by using a generalised folding model. The direct
and the exchange terms are computed by folding in Skyrme
interaction with the nuclear density distributions and the
density matrices of the two nuclei respectively. A new defi-
nition of the one-body optical potential is also suggested.
The results agree quite well with standard phenomenology.
20. Nuclear structure calculations using momentum-dependentdelta interactions (MDD) (Blkash Sinha and Steven A.Moszkowski*)
The ground-state properties of a nucleus have been in-
vestigated using momentum and density-dependent £ inter-
actions. Unlike Skyrme type of interaction, the two-body
interaction used has terms dependent on the fourth power of
the relative momenta. The role of these new terms has been
investigated by using the density-matrix expansion techniqutt
of Negele and Vautherin. The interaction has been used to
calculate, amongst other phenomena, the ion-ion interaction
potential and the nucleon-nucleus optical potential. The
improvements obtained using such an interaction over Skyrme
type of interactions have been discussed in detail. It is
shown that the effeotive mass, m*, is larger in magnitude than
obtained by using Skyrme type of interaction, whereas the
modulus of compression is 240 MeV rather than the usually
large value obtained by using Skyrme interaction. It has
been suggested that such interactions could be more appropr-
iate than Skyrme type of interactions in physical situations
where large momentum transfers are involved.-
* University of California, Los Angeles, California 90024,USA
-73-
21 • Mi(,*roBc;opjc •:&lcu3at,1on of D-o< scattering with 6-bodyan'tTtajfumetrfz'ed' wave function (Kiran Kumar* and A.K.Jain)
A Born approximation description of medium energy D-e(
scattering uaing N-oC potentials of any of the Gaussian or
Saxon Wood's form has been shown to be inadequate in our
earlier calculations. The same type of Born approximation
treatment has however been proved to work very well for p-d
scattering. In order to understand the discrepancies in
uaing Born approximation for the d-o<. scattering, this micro-
Bcopic calculation has been done. In these calculations fully
antisymmetrized 6-particle wave function has been used along
with a Serber type N-N interaction. In order to simplify
the calculations the Yukawa form of the N-If potential has
been expanded in terms of a series of Gaussians. The matrix
element for the d-oC scattering is written as
Jwhere the 6-particle antisymmetrized wave function L~j
is written in terms of unantisymmetrized wave function jr
(1234}56) has been expressed as a product of internal
wave functions of oc and d and a plane wave d- o£ relative
wave function
-74-
Uaing these wave functions and interaction the final matrix
element reduces to the evaluation direct (DIR), single
exchange (SE) and double exchange (DE) termb.
These terma as derived for m = 1 are for example:
t-
(I) X
The integrals IDjo» XfZ etc. have been evaluated to
obtain the d + <x. scattering cross sections. For example
such that £U , lf-k\ r - f ^ A fis= /8(.Elwith Bi end A ^ representing the Gaussian expansion coeffi- '
cients of Yukawa form.
Finally the differential cross section can be repre-
sented as
A^ _ /d /^, Y, IH /*
10
20 40 60 80 100 120 140 160
10 =
10
-SHRUNK DEUTERONRADIUS • 1.1 fm
• DEUTERON RADIOS- 3 Ofm
ALPHA PARAMETER
» -0.5l4fin"2
- ALPHA PARAMETER
<* •0.44fm"2
(ALPHA BROADENED)
• ' ' L__i_20 40 60 30 100 120 140 160
9 . -
I
I
Fig. 21.1. Angular Distributionof D-2 Scattering with MicroscopicCalculation at 34.7 MeV.
Pig. 21.2. affect of Alpha and DeuteronStructure on Angular Distribution
-76-
Fi^. 21.1 shows a comparison of these calculations
with the experimental data. As ia evident the maxima and
minima have not been reproduced in these calculations also.
This indicates that one can not use the Born approximation
anl the trouble in this analysis arises aB a result of
large distortions in the relative c<. +d wave function, it
thould no longer be taken as plane. A further analysis
of the exchange terms indicates that the direct term is
most dominant, the single exchange term affects the matrix
element significantly while the double exchange term con-
tributes negligibly (eg. at 9cm = 5°, I g B is 3 times smaller
than I D I R while I D E is ~25OO Bmaller than IDE)« This
indicates the possibility of analysing the d+oc scattering
in terms of resonating N +oL and P +oC structures. This
Its supported by the fact that (see Fig. 21.2) the size of o<:
does not have much influence on the angular distribution
while the d size has enormous influence on this. Thus
even the oL -distortion or size is changed during the scatter-
ing it does not influence the distribution. Thus a cal-
culation in which the gross features of Yl-oi Interaction
are properly accounted for should reproduce the d-o<
scattering.
• NUMAC, fiadiochemistry Division, BARC
-77-
22. Nuclear Exchange as a mechanism for strongly dampedheavy ion collisions. (A.K. Jain and N. Sarmal
There hive been several attempts to explain the large
energy transfer to internal degrees of freedom in terms of
frictional forces between two liquid drops. All these
resulted in a meagre '" 20 MeV transfer to internal excita-
tion, i.e. very small as compared to experimentally observed
values of the order of ^100 MeV or more. The data is
characteristic of a process of very short duration of the
order of 10~ sec. also. We regard the scattering in a
semiclasaical approximation as the collision of two clouds
of nucleona. The momentum distribution of the nucleons in
each nucleus is determined from experimental nucleon density
distributions in the Thomas Fermi model.
During the interaction of the two heavy ions, nucleons
diffuse across the surface between the nuclei. Nucleon
transfer leads, because of the velocity mismatch, to a
change in the momenta of both nuclei and brakes their relative
motion. It Tollows from kinetic theory that the number of
particles crossing unit area per unit time is f fr'J^/b. -
at any point f for nucleons with speed u and density <f /rJ
The rate of change of momenta of nucleus 1 (see Fig. 22.1)
due to nucleon transfer from it is
A similar expression is obtained for . ? . The loss in
kinetic energy occurs all along the trajectory as determined
by the Coulomb and nuclear potential. The total kinetic
energy loss E* appearing as the internal excitation of the
-78-
nuclei is consequently
wliere /^M is the net nucleons transferred from 1 to 2.
Computations based on the above formalism were made on
several reactions. For these cases the angle of inelastic
scattering in centre of mass, 0 , the energy loss, E*,c • in*
the nett number of nucleons transferred A M = A M, — Zi fV|„
and the total mass exchanged between the nuclei AM-j-&fVl2were calculated as a function of the impact parameter b.
A typical example of 84Kr + 209Bi at 600 MeV is given
in Fig. 22.2. Attractive nuclear potential induces a certain
orbiting resulting in a sudden dip in ©„ „ curve. At thist C * ID.*
b the total mass exchange abruptly rises and B* increases
rapidly. The differential cross section for scattering in
the classical limit is
For the example in Fig. 22.2 the computations show a small
anomaly in the slope of the 9 curve which gives a peakC . ID*
in the deep inelastic angular distribution. The peak cross
Bection for the 84Kr + 209Bi at 600 MeV is estimated to be
~ 400 mb/vr , which compares well with the experimental value
of 575 mb/sr.
-79-
This aemielassical model reproduces the basic featuresof the strongly damped collision of heavy ions, i.e. the largeenergy transfer to internal excitation but timall mass transferto the projectile, and qualitatively the very anlsotropicreaction cross section. The duration of the damping process
—21is estimated to be extremely short, around 10 sec.
Fig.22.1.Rate of change of momentadue to nucleon transfer
I 6 •
aa.
E
-10 "5 10
10
20
20 301 ;
i :
* ' • 8
- .
40
—,
.AM, -t
60
iO
AM,
,AM,H\.
M2
BOI
50
^AM 2
209B , "
) McV
Xs
-
mo E*|20 40 60 BC 100 9'cl
Fig.22.2. 74Kr + 209Bi at 600 MeV
-80-
23. Empirical rulea for substltutionality In metastablesurface alloyg proituced by ioa implantation(D.K. 'oood)
1 2)
Metastable surface alloys are produced ' ' by ion im-
plantation at/below room temperature in most metals. At
these temperatures, atomic diffusion is negligible and thus
normal solubility limits can be exceeded. Surface alloys
of even immiscible species have been observed "•''. Ion
implantation could produce a vide variety of new surface
alloys (with important applications) of any atomic species
with any substrate in the periodic table. However, no
reliable criteria exist for predicting the most important
parameter - the substitutionality of a given implanted
specie:.!. Based on the extensive data now available on1 2)
substituticnality of several implanted alloys in copper ' '
and iron ', we propose empirical (modification of the Hume-
Hot.lery) rules for predicting substitutionality in dilute
metastable surface alloys 1 r-oduced by ion implantation.
Excellent agreement with published data on 63 implanted
alloys in i'e, Cu, Ni, V and Be establishes the general
validity of these rules. It is shown that the present
rules work much better for metastable implanted alloys
than the Home-Rothery rules do for equilibrium alloys.* to be published in Phys. Lett. A.
1) D.K. Sood and G. Dearnaley, in Applications of Ion Beamsto Materials. 1975. ed. 0. Carter, J.3. Colligon andST."A. Grant (Inst. Phys., London, 1976) p. 196.
2) J.A. Borders and J.M. Poate, Phys. Rev. Bj2 969 (1976).
}) D.K. Sood and G. Dearnaley, J. Vac. Sci. Teohnol. 12465 (1975). ~~
4) S.T. Picraux, in Hew Uses of Ion Accelsrators. e<±.J.F. Ziegler (Plenum Press, New York, 1975) p. 227
24. Ion Implanted surface alloys In nickel* (D.K. Soodand G. Deavnaley**)
Four surface alloys in nickel produced by hiph dose
implantation of Ta+, an+, Br+ and La+ ions are reported.
Rutherford backocattering and channeling of 2.9 MeV helium
ion beam in employed to determine the substitutional solid
solubilities and the radiation disorder. Ta, Jn and Er
form substitutional solid solutions beyond solubility limits
whereas La is found to be insoluble. It is shown that
these and the other implanted alloys reported ' in Nickel,
obey the reccit, 'modified Hume-Rothery rules' proposed by2)
Sood ' for dilute metastable alloys formed hy ion implan-
tation. The radiation disorder extends well beyond the
ranges of Sn+ and Er+ ions.
* to be published in Radiation Effects.
•*A.E.R.B., Harwell, 0X11 ORA (U.K.).
1) S.T. Picraux, in New Uses of Ion Accelerators, ed. J.F.Siegler (Plenum Press, New York, 1975) p. 22?.
2) D.K. Sood, Phys. Lett. A ( to be published).
25• Blistering by helium ion bombardment (D.K. Sood,M. Suncter laman* and R. Krishnan*).
Radiation blistering results in surface erosion of
structural materials during prolonged gaseous ion bombard-
ment. In this process ' the gas atoms get ifcplanted in near
surface regions, and if their solubility and diffusivity
are low, they rapidly agglomerate to form small gas bubbles.
With increasing ion dose, these bubbles grow in size and
when the internal gae pressure is high enough, they may
plastically deform the surface skin to form visible blis-
ters. As the irradiation is continued the blisters may
eventually repture exposing fresh surface for further exfo-
liation. This effect leads to serious 'first wall1 erosion
-82-
2)and plasma contamination ' during the operation of a
thermonuclear davice/reactor.
We have obtained some preliminary results on study
of blistering of Inconel-718, 316 S3, copper and zirconium.
Well annealed, electropolished specimens were bombarded at
about 10°C with 2 MeV helium beam. The ion flux was about
2.5 x 1015 Hw+ ions/cm2/sec at about 3 x 10~5 Torr. Total
do3e ranged from 0147 to 2.4 x 10 Tle+ ions/em . The
bombardment specimens were examined with a ETEC Scanning
Electron Microscope. All the four materials studied
exhibit blisters visible to naked eye.
* Metallurgy Division
1) O.M. Me Cracken, Rep. Prog. Phys. 28, 241 (1975)
2) R. Behrisch, Nuclear Fusion .12:, 695 (1972)
-U3-
KJtPERIMKNTAL TEOllNl-jUKU AMU INSTKUMiiSTATION
1. Isotope oeparator i-S ctlon (V.A. Hattnngadl, F.R. BhathenaK.I.. PaTSTand" K. iJhnllom)
The assembly has been completed of one of the limbs ot
DUMAS mass separator and preliminary performance tests are
now under wiy.
The main magnet coils vere installed in position and
magnet performance tested during early part of the year. The
magnetic field has been found to vary linearly with the ener-
gising current upto a maximum of 10 KOauss without field
saturation. The field spatial distribution in the median
plane was.* determined using a Hall probe normalised against
a fixed NMH probe. The field has been found to be uniform
within +1.3 Gauss in 1 KG over the median plane region likely
to be covered by the ion beams. This is indicative of the
precision achieved in machining and assembly of the magnet.
The fringing fields at the entrance and exit pole edges were
also plotted and the Virtual Field Boundary was found to
conform very nearly with that assumed in design. The field
stability was also measured and found to be better than
+ 200 ppm.
The magnet chamber, previously dismantled for loading
the coils, was reassembled after the field mapping was
completed and proved vacuum tight once again. The ion source
and collector side vacuum chambers were then coupled on and
pumped down Co 10 Torr. The source limb has beer alighned
properly with respect to optical axis of the magnet. For the
initial performance tests, we have lined up only one of the
two limbs of the dual mass separator and an Argon ion beam
has been uaed for these tests. We get rbout 1 mA ion beam
current at the collector with ,~ood focussing of the image.
Further studies of the mass separator characteristics are in
progress.
-84-
2. Tandem Accelerator (M.G. Betigeri, T.P. David, P, Singh,i.JS. Soni, C.V. Rayarappan and M.K. Mehta)
Voltage Generator
The pressure vessel fabricated at the Central Workshops
was installed after teBte horizontally on the mountings in the
tandem shed. The end flanges were mounted on the trolley which
run on the rails laid on either side of the pressure vessel.
The support columns were bolted onto these flanges. Twr:
parallel running 76 mm gas pipe lines provided with valves
were run from the tank across the lawn and connected to the
gas storage system of the 5.5 MV accelerator. After closing
the flanges the terminal end of the column sections were conne-
cted by an aluminium cylinder for carrying out voltage tests.
The tank has been provided with a pressure gauge and an outlet
for cheoking the dew point. Voltage test was carried out
after pressuriting the tank to about 180 psi of dry insulating
gas (80£ N2 + 20 £ C02). The terminal voltage achieved at
this first trial monitored by the column current meters and
also by generating volmeter was 1.4 HV. Further increase of
voltage resulted in sparking at a couple of spark gaps which
was later found to be unevenly spaced. This was rectified
later.
The accelerating tube sections were araldited on to the
M.S. support tubes and mounted horizontally on the tank
flanges. These are provided with bellow sections (with stiffen-
ing rods) to facilitate alignment. The terminal ends of the
accelerating tubes have been connected up with the 6 mm dia.
bore stripper canal and 8 nos. of 12 mm dia.thrust rods which
when adjusted keep the tube under slight compression. The
stripper canal is provided with a thermocouple gauge head and
the gas inlet tube. The gas is fed through a needle valve
controlled by a perspez rod and its associated geared reversible
motor. The gas bottle filled with oxygen is mounted on one side
-85-
of the terminal column end plates. The terminal
cover was replaced by a stainless steel 630 mm x 600 mm
dia,polished shell, snugly fitted and screwed on the column
end plates using rounded aluminium ring.
The accelerating tubes are pumped from either side by
2000 (A oil diffusion pumps backed by a 800 ifa vapour
booster pump and a 450 l/m*n rotary pump.
With a vacuum reading of ^ 5.0 i to" torr outside the
tank flanges on either side and a tank pressure of ^ 1 8 0 psi
of dry insulating gas the terminal voltage reached was 1.7 Iff
during test. A pressure to vacuum leak detected in one of
the accelerating tube sections has been since located and
oorrected. Further test will be done after optimising the
negative ion output from the duo-plasmatron ion source now
under test.
Deflecting systems
Magnetic deflection system to enable shifting of the beam
parallel to the axis which consists of four electromagnets
has been set up along with an einzel lens to deflect the beam
in proper direction required for better focussing by accelera-
ting tube. + 20° analysing magnet is under'construction at
Central Workshops.
Ion optics
To perform experiments with any accelerating device it is
necessary to get a well focussed, intense and highly colli-
mated beam at the target which requires tracing of the ion
beam and therefore ion optics for the accelerating tubes of
2 MV Tandem accelerator was studied. Negatively charged
ions extracted from Duoplasmatrou source were injected into
the first accelerating tube. Since in the Tandem configura-
tion the beam has to pass through a small stripper, it is
imperative to know the conditions which produce a converging
-B6-
beam at the exit of the first tube. The space charge
being small the Laplace's equation y*V " 0 was solved
to obtain the potential distribution using an iterative
relaxation prooedure. For the boundary conditions two
different types of potential distributions have been taken
on the electrodes. Ion trajectories ware obtained by
solving the classical equations of motions of charge parti-
cles in the electrostatic field.
f - -*z
An arrangement with variable potential, gradient in
which the potential for the first few electrodes changes
slowly as compared to the rest of the tube was found to be
more satisfactory than the uniform potential gradients
arrangements to obtain convergent beam at the exit of the
first tube. For parallel beam the trajectories were found
to cross the z-axis at different points indicating some
spherical aberration of the extrance region. Using parabolio
ion trajectories in the second tube the radius of the beam
at the exit was found to be less than 1 mm. Those calcu-
lations indicated a decrease in the exit beam diameter for
beam with particles in higher charge states.
3. Ion Implantation (P.K. Bhattacharya, M.S. Bhatia,M.J. feansara, A.G. Wagh and N. Sarma)
100 keV Ion Implantation facility
A 100 keV ion implantation facility set up at Van de
Graaff laboratory has been completed and has been put In use
for fabrication of solid state devices, study of optical
integrated circuits and corrosion studies in metals. The
maximum terminal voltage obtained is 120 E7. All the terminal
-87-
supplies for ion source and associated circuits have beenconverted into tranaformer-less 3 phase supplies.
Filament auppl.y is SCR controlled 3 phase full wavebridge circuit giving 0-15Amps. D.C. output.
Extractor and focus supply are 10 KV and 15 KV regulatedD.C. supplied. Basically the circuit 1B D.C. to D.O. converter.The low D.C. voltage is converted into high frequency osci-llation, voltags stepped up by a transformer and then recti-fied to high voltage D.C.
Analysing Magnet supply 1B 2.5 Amps D.C. regulatedpower supply.
The ion implantation facility has been used for:
a) fabrication of p-n and n-p diodes and solar cells
in our section
b) fabrication of nuclear particle detectors for TechnicalPhysics Division
o) fabrication of solar cells for I.I.T. Delhi
d) Argon impl&nts have been carried out in steel forcorrosion studies for R.R.C.
e) Phosphorus implants have been done in glass to studythe formation of phosphmosilicates in the material
f) Argon implants for mossbauer studies for HarathawadaUniversity
g) Work on implanted wave guides has been under progress.Efforts have been made to reduce the losses along the guide,which are rather high
h) I D joint programme with TIPR masks for boron and phos-phorus implants to make integrated circuits are under fabri-cation These will be used fox fabrication of componentse.g. ring counters, F.S.T.'s, veractors and resistors.
-66-
3olur cells
W and P type 111 silicon wafers with resistivities
around 10 .A-cm wore Implanttsd with Boron and Phosphorua
iona at 100 keV ronpootively. Doses of the order 5 x 10
ione/cm were uned. Imp]nntation damage was annealed in a
dry nitroflnn atmosphere upto 800°0. -Por phosphorus implant
with dose of 2.6 x io'* Ions/cm2 final resistivity of
7.5 x 10 ohm cm pyavo a calculated activity of14 214 2while for a boron implant of 5 x 10 ions/cm calculated
activity of >. 15/4. A rapid drop both in Bheet and bulk
resistivity w;ia obnerved at annealing temp- beyond 600°0.
A sharp fall i.e. from 500IXa/cm to a few a a/cm , was
also oboerved.
Low temperature heat treatment was given to the
aluminium/silicon contact to study the dependence of contaot
resistance and barrier potential on heat treatment.
It was done by Y?. hr. isochronal anneal upto 300°C by
stepa of 100°C - contaot resistance was found to vary from
300 _flL. to a few ohms.
Hi&h temp, heat treatment from 300°C to 500°C was
found to change the barrier height of the solar cell and
#rive a linen : and low resiatance I-V forward characteri-
stics, -'or phoophorous implanted cell the barrier height
was found to increase from 0.33 V to 0.5V after '/2 hr.
isochronal treatment upto 300°C. Heat treatment at 45O°C
for 10 minuted showed a further enhancement of this effect.
Conversion efficiencies for solar cells were worked
out using a 100 W tungsten lamp of known spectral distri-
bution as standard source. The cell efficiency attained
for an exposed area nf 1.66 cm (n+/p) waa about 6.755
for 7.5 JX. series resistance. Photovoltiac (I-V) chara-
cteristics tend to atraighten out at series resistance of
14 -/Z. although cell efficiency was about 5.02/5. These
observations were made on bare cel3s.
-89-
4. Van de Graaff Operations Seotion (V.A. Hattangadi,S.N. Misra, U.S. Bisht, S.G. Shukla, M.E. Doctor,S.J. Mandke, P.R.S. Rao, G.V. Bhatt, R.P. Kulkarni,R.V. Patkar and N. Fernandas)
As the Van de Graaff accelerator entered its 16th year
of almost continuous operation, the machine had to be shut down
for carrying out some major overhaul and maintenance as well
as some modifications. However, after this followed a series
of machine troubles with some serious technical problems. These
problems were eventually dealt with successfully, however and
the accelerator was run during the year for 1870 hours, of which
1107 hours were utilised for research and about 230 hours were
required for routine maintenance. In all, about 3389 hours
have been lost owing to machine breakdowns.
A. MAINThiNAMCE AND MODIFICATIONS
The major maintenance and modifications carried out during
the general maintenance period may be dencribed under the follow-
ing main heads:
i) Terminal rewiringii) Vacuum system modifications
iii) Servicing and overhaul of other accelerator components
1) Terminal rewiring: The terminal has been completely rewired
with a better circuit layout and all the power supplies and other
electronic circuits have been replaced by new compact units
previously wired in the laboratory. This has facilitated
servicing in the terminal.
The meters have been replaced with indigenous ones and
the dial illumination has been improved for better visibility
from the platform.
ii) Vacuum system modifications; The main mercury diffusion
pump on the accelerator tube has been replaced because of its
frequent failure and erratic behaviour by an oil D.P. having a
larger pumping speed, 2400 £/sea. than the earlier one.
-9U-
The DC 705 silicone oil used ensures little back streaming
because of its low vapour pressure of 10" Torr.
The auxiliary diffusion pump near the analysing magnet
has been shifted to a point directly in line with the beam pipe
thus increasing effective pumping speed in this section. New
elit-viewer assemblies have been installed on two of the ports
of the switching chamber. All the A-K couplings in the beam
line have been replaced with standard brass flanges with 0-ring
gaskets. A new fore vacuum line ha3 been installed for backing
the D.P.'s and a 4" line has been put for roughing the main
accelerator tube. All these measures have improved the vacuum
system performance in general and we have not had any serious
vacuum problem since then.
iii) Servicing of other accelerator components
(a) The charging power supply and the switching magnet supply
were both rewired with some modifications in layout. The con-
stant current unit, balance amplifier, NMR Gaussmeter and fre-
quency counter were all tested and serviced.
(b) The belt-drive motor, the D.C. generator, the air compre-
ssor and the kinney vacuum pump were all overhauled and servi-
ced. The alternator in the terminal was also overhauled.
(;•'* All the column resistors were checked individually and
replaced where necessary.
(d) Both the air-drying units and all the high pressure gas •
valves in the gas handling system have been regreased and
serviced.
(e) The overhead crane for the pressure tank was also servi-
ced and given the annual maintenance schedule.
B. MACHINE BREAKDOWNS
A number of technical problems were encountered in deal-
ing with machine breakdown, some of which were quite baffling
-91-
and took considerable time to diagnose. One such problem
was concerned with the ion source yield which was quite
normal when the source was checked prior to closing the tank
but reduced to zero when the tank was closel and pressurised,
although all the voltages monitored showed that operation was
normal. At first it was suspected that the observed phenomenon
could be due to microleaks, oscillator failure or alternator
loading un^er high gas pressure. A few more meters were
added to monitor some more parameters, source plasma studied
through a portable spectroscope and mains was supplied from
an external alternator to eliminate the above causes but to
no avail. Finally, after a prolonged investigation the
fault was traced down to a faulty wirewound resistor that
would open only under high gas pressure.
The second recurring problem was failure of the osci-
llator tubes in the recently developed 100 Watt H.F. oscilla-
tor unit in the terminal. The tubes worked continuously for
hours without failure on the test bench but did not last for
more than a few days inside the tank. This was caused by
excjosive heating because of the inadequate forced-air cooling
provided by the moving belt inside the tank. The fault was
corrected by adding finned heat sinks on the oscillator tubes
and reducing plate dissipation by operating at a lower power
output.
A major problem, which accounts for most of the time lost,
occured during the alignment of the analysing magnet, which was
undertaken aa the ion beam was frequently found to enter the
magnet off the axis and had to be steered by means of small
permanent magnets at the magnet entrance. However, during the
realignment process we found that no matter what the magnet
setting is the ion beam did not emerge from the analysing
magnet strictly along the horizontal but at a slight angle
towards the ground. However, after considerable efforts,
it was realised that either the angle between the entrance
-92-
and exit pole edges or the field distribution in the gap
was not correct to give an exact 90° deflection and that,
in fact, the ion beam had to enter off-axis to make up for
the discrepancy.
C. DEVELOPMENT
A Wien Velocity Filter - a duplicate of the one in UBO in
the terminal has been fabricated and is being tested on the
test bench. It is proposed to make a detailed study of the
device acceptance and transmission as well as focussing of
the einzel lens. It is also proposed to develop a P.I.G.
ion source for use in the terminal in place of the present
R.F. ion source. An ion beam scanner and steerer are also
under design.
5. Non-destructive estimation of boron in aluminium(Y.D. Dande and N.G. Jain)
Commercially available aluminium contains ppra level bo .'on
oc'.r!;aminant3. for use in reactor compenonts, this concentra-
tion of boron has to be below 10 ppm. A technique of estima-
ting the boron concentration, preferably non-destructively,
is repaired for a quick assessment of the available aluminium
stock.
An attemptwas made, to use solid state track-e«ch
detectors for this purpose. The technique consists of sandwich-
ing a film of thin cellulose nitrate (Kodak Pathe LR-115)
between the Al sample and a perspex holder and irradiating
the sandwich in a neutron flux. The He and Li nuclei from
to vthe reaotion B(n,«;)'Li leave damage tracks in the plastic
which can be made visible by etching the plastic in KaOH.
Oare has to be taken to subtract the background tracks due
to other competing processes like proton recoil in the plastic
itself.
-93-
Inifci'il irradiation in one of the reactor beam holes
showed hi{;h background track formation. The experiment had
to be shifted, therefore, to the thermal column of Apsara
reactor. It was also realized that to eliminate errors due
to counting criteria, variation in plastic behaviour, uncer-
tainty in flux determination etc., it is necessary to make a
relative estimation against a standard of known boron content.
Five samples of Al tubes (A, B, C, D, E) obtained from
H-5 project were irradiated one by one in the Apsara tberraal
column (9.3 x 10 n/cm /a) for 30 mm each. Samples A & B were
spectroscopically analysed for their boron content and A was
chosen as the standard for all other dieasuremente. The
plastics were etched in 2.5 N KaOH at 60°C for about 30 mm,
and the track densities were measured under a magnification
of 450. The computed B concentration in the 5 samples was
70, 115, 108, 90 and 107 + 2O5& ppm respectively.
6. Converter screens for neutron radiography (Y.D. Dandeand S.ii. Chinchanikar)
Neutron radiography with track-etch detectors need Li
or B loaded screens for converting neutrons into o<-particles.
A programme to fabricate durable, high efficiency converter
screens in the laboratory wa3 undertaken. Lithium carbonate
or metallic boron powder was thoroughly mixed in a solution
of polystyrene in chloroform and the homogeneous mix was
uniformally spread over a flat metal surface with a special
jig. Experiments with natural Li and B have indicated fea-
sibility of making fairly uniform screens (+ 30 U) with this
technique.
7. Nuclear Radiation detectors
(a) BF3 and He-3 detectors (R.3. Udyawar and G.V. Shenoy)
50 BF3 detectors were made and supplied to various users
in BARC. Special achievement is the successful fabrication
of a tiny, 6 ram di-% x 12 mm sensitive length BP3 detector
for B.R.P. section.
-94-
A 50 mm dia x 275 mm long He-3 detector was developed
for use in oil well logging at Ankaleshwar. Thia detector
haB almost twice the efficiency of a bank of 8 Russian made
detectors, in current use by ONQC.
(b) Soft X-ray detectors for Mossbauer spectrometry(G.V. shenoy}
50 X-ray proportional counters were made and supplied to
various users in the country.
(c) Position sensitive detectors (Y.D. Dande and G.V. Shenoy)
The development of a linear position sensitive detector
continued. Changing to a carbon-coated quartz anode (350-IL/mm),
the linearity region was extended to 350 mm (in a 450 mm
detector) with a position resolution of fi*8 mm FVBK. Further
improvement is continuing.
8. Laser Plasma Tubes (S.R. Chinchanikar and M.L. Baneal)
A 25 mtf He-Ne laser plasma tube had been successfully
fabricated last year. A second one was made for RHC at
Madras this year.
A new He-Cd laser plasma tube was fabricated thia year.
The tube has be«n in operation at a steady power of 50 mtf at
a wavelength of 4416 A.
9. Low Energy X-ray Tube for Energy Dispersive X-rayfluorescence Analysis (3.K. Kataria)
As a part of our energy dispersive fluorescence programme
(BtfDXRF), we have undertaken the development and construction
of a low po-rer X-ray tube. The excitation of a sample by the
X-ray tube, results in comparable sensitivity in only a tenth
to one hundredth of the counting time, as compared with the
normal radio-isotope target excitation. The basic design of
the X-ray tube shown in fig. 9 follows closely that of Jaklevle
-95-
©t al '. She principal advantage of this type of tube is
the ahillty to produce X-ray fluxes to three orders of
High VoltageFeed through
Teflon
Colllmator
• V. Pumps
Intermediate VoltageElectrode 300~5004VeInsulator
Fig.9 Basic design of the X-ray tuba.
magnitude higher than those obtained with convenient radio-
isotope sources while dissipating only a few watts in the
tube. Furthermore the variety of possible anode materials
and range of currents in the tube make possible optimum
choice of exciting energy and intensity for particular
applications. The X-ray tube shown in the figure is de-
mountable and is to be operated in the transmission mode.
In this mode, the Bremsstrahlung component of the X-ray
-96-
flux relative to the characteristic K-Xrays of anode
material is minimum aa desired by ENDXRF,
The fabrication of all the components has been com-
pleted and the tube has been assembled. The X-ray tube
assembly waB thoroughly degassed and it gives a high
vacuum of the order of 10~ mm of Hg which is necessary for
its operation as a X-ray tube. The trial runs have shown
satisfactory electron emission from the filament. The
High Voltage Power Supply (0-50 KV) needed for the anode
is under fabrication at V.E.G. Calcutta.
1) J.M. Jaklevic, R.D. Giaugue, D.P. Malone and W.L.Searlea, Univ. of California, LBL-10 (1971).
'0* X-ray fluorescence analysis of materials (S.S. Kapoor)
Bnergy dispersive X-ray fluorescence analysiB (ENDXRF)
of a number of samples was performed with the high reso-
lution Si(Li) X-ray spectrometer employing Am, 5I
and J Pu as exciting radioiaotopes. These sample analyses
covered a number of interesting applications in areas
such as nuclear physics, geology, pollution, metallurgy
etc. 3ome typical examples of the analysis work carried
out in these areas are outlined below:
a) Analysis of rare earth impurities in thoria fuel(M. Lai, 3.K. Kataria and K.V. Vishwanathan)
In collaboration with Analytical Chemistry Division,
a study was undertaken to determine the minimum detection
limit of rare earth impurities in Thoria, which can be241
achieved with ENDXRF technique. Employing 100 mci Am
source, it was possible to detect rare earths in synthetic
mixtures from 20 ngm of Ce to 200 ng of Dy.
- 9 7 -
b) Analysis of alloys (M.Lai)
Quantitative analysis of a number of alloys contain-
ing i'e, Cr, Co, Wi, Ga. Mo, and Pb, and Co-Ga alloys were
carried out. Won destructive analysis of Ni-Ku crystal
and analysis of impurities of Ti, An, Pb in ^e,0. natural
single crystals were also carried out.
c ) 'Jrace element analysis of Ci^arrete Tobacco"OT. Lai, B.V.N. Kao*- and 3.K. Kataria)
Tobacoo from two brands of cigarettes waa analyzed1 25
with I source for trace element impurities. Concentra-
tion o:l the detected elements, K, Ca, Mn, i'e, Co, Cu, Zn,
Br, Kb, Jr, Zr and Pb present in the two brands were com-
pared, iiore details are given in the report B.A.R.C.-959°d) Analysis of Minerals from Geological Purvey of
India (G3lJ (3.K. Kataria, Kekha Govil, K.V. Vishwa-nathan and R.K. Chowdhury).
Trace element contents in fourteen carbonatite ore
samples from G3I were quantitatively analyzed with thin
sample technique. The trace elements detected were Ti,
V, Mn, Fe, Cu, Zn, Sr and Ba. The soectra were computer
analysed to determine element concentrations.
e) Analysis of J?VC tubings (K.V. Vishwanathan andHekha Govil).
Medical grade soft PVC tubings obtained by ISOMED
from different local manufacturers were analysed for their
metal contents. The following eleven elements were dete-
cted: Ti, Vi, Cr, J?'e, Cu, iSn, fb, Se, Cd, Sn and Sb. Their
concentrations were found to vary from 48 u. g/cm to 336«g
/cm . The aim of the analysis was to study the effect of
irradiation on the leachability of the plasticiser into
pharmoscopically recommended aquo, aquo-ethamotic and
oleagenous solvents used for biological investigations.
-98-
f) Estimation of Gallium In Bayer Liquid (K.V. Vishwa-nathan, S.K. lataria and R. (Jovil)
Bayer liquid produced during the manufacture of alu-
minium is a potent source of gallium and our country's
annual requirement is of the order of 0.3 tonne. A rapid
method of estimating 0a in Bayer liquid was standardized2*58
by the method of internal standard addition using Pu
(10 mci source). The detection limit for gallium in solu-
tion is found to be 3 i^g/ml with an accuracy of + 2$.e) Analysis of trace amounts of lead in soil samples6 / (M. Lai and K.V. Vishwanathan)
A rapid method for the analysis of lead in soil
samples (for pollution studies) has been standardized.
It is possible to determine lead from few ppm to few
hundreds of ppm in a short period of 1500 seconds using
Pu ' source. Calibration was done by spiking known con
centration of lead into soil samples of similar matrix
free'from lead. The average lead content in the soil
samples was found to be of the order of 200 ppm.
+ CSIR Pool Of "icer
11.. Low Temperature Laboratory
a) Helium Liquifier and Associated Work (N.S. Satya Murthy,V.K. Chopra, G. Dharmadurai, T, Srinivasan andA.P. Bagool)
The liquid helium production for this year has been
about 900 litres. This has been used for various experi-
ments including Neutron Diffraction, Mossbauer Spectros-
copy, Superconducting Magnet Testing etc. Also, about
40 litres have been supplied to the Tata Institute of Punda*-
mental Research.
- 9 9 -
b) i J u p e r c o n d u c t i n g Ma;?ieta ( N . J . Llatya M u r t h y ,V. it. C'hopra, d. Dharmadurai, T. Srinivasan andA.P. Bagool).
A superconducting magnet haa been wound from Nb-Ti
wire and has about 4000 turns. This magnet haa been
designed and fabricated so as to produce a maximum magnetic
field of about 5 Tesla in a bore of 22 mm. While testing,
this magnet showed training (the effect that a supercondu-
cting magnet reaches its short nample critical current
only after several quenches) and a maximum current of
about 100 amperes could be pansed through the magnet
after a few quenches. The curront leads used for ener-
gizing this magnet 1-ave shown (satisfactory performance.
These brass tube leads (see Fl«. 11) if provided with
the required threading at the lower end, can directly
be screwed onto the threaded terminals of the magnet.
WINDING ENDS
DETAILS AT "A"
Fig.11. Schematic sketch of super-conducting magnet.
•1 00-
After switching the magnet into the persistent mode, the
leads cun be uruscrewod and taken out of the cryostat.
Thia would cut off the heat leaks into the cryostat caused
by heat conduction through these current leads. A super-
conducting switch incorporating a manganin heater wire
wouiid over Wb-Ti has been designed and fabricated whicn
after testing will be uaed in conjunction v*ith the above
magnet for av/i toning it into the persistent mode.
c) Dilution Refrigerator (V.K. Chopra)
The *He- He dilution refrigerator has been tested
for leaks at room temperature. The tests at.liquid helium
temperatures are being planned.
12. A Cold-neutron source for CIRUS (S.K. Sinha, C.L.Thaper and B.A. Dasannacharya)
Studies on the design of a cold-Bource for a 12" dia-
ir beam hole at OIRUS, which will be a forerunner for
the source for ft-5 reactor, have been started. From the
point of view of neutron-gain, liquid methane source at
100K compares favourably with liquid hydrogen source at
ZDK, for neutrons of wavelength ^ 4 A. Liquid methane
1R safer but \tndergoes radiation damage and polymerisa-
tion. Calculations on the amount of damaged products,
due to V* -rays alone, show that the moderator will be
damaged approximately \<f> at the end of one month, if 550 co
of liquid is circulated through the reactor and diluted
into a 50 litre liquid methane dewar.
The cold-source consists of the in-pile and the
out-of-pile sections. The in-pile section contains the
moderator pot, cold-moderator, transfer lines, shielding
material and the bismuth filter which are contained in a
-101-
vacuum-jacket. The out-of-pile assembly consists of a
oryogenerator for liquifaction of methane gas and a
storage dewar. Liquid methane will be circulated through
the moderator pot using a centrifugal pump, which will
maintain overpressure on the liquid, so as to increase
the operating range to 127K. Preliminary design of the
in-pile portion has been completed.
Organization Chart andSummary of A c t i v i t i e s 1977
VAN QE GRAAFF LrtB.Head
fl.K. fCHT*
PHYSICS G30UP
DIRECTORP.K. IYtNGAR
NuuLEAft.PHYSICS
HEADPI.K. itHTA
FISSION PHYSICS StCTIOAlHead
S.S. KriPuuR
Nuclear ReactionsNuclear Sp^ctroscopy &
StructureNuclear TheoryIon Implantation Studies
Vande-qraaff Flaintanancai Operation
Isotope Separate:Tandem Accelerator Project
Experimental Fission StudiesFission TheoryNuclear TheoryX—ray Fluorescance HnalysisProton-inducad X-ray Studies
SOLID STriTi. PHYSICSHead
N.S. S<*TYH
Neutron Scatteringfiaynetic StructuresSpir< Jensity i3istributionsPhoi. I 4 Magnan HeasurementsCloldcular & Liquid DynamicsBeam—Technique Development
Light ScatteringLiquid Crystal StudiesCoinpton scatteringMossbauer SpectroscopyLou Temperature StudiesPreparation of Alloys & CrystalsTheory
Neutron and X-ray DetectorsNeutron Radiography
(Y.O. Dande)
Electronics Designand Development
(V. Singh;
Workshop
(J.N. Soni)
Administration
(T, Ramanujam)
- 104 -
NUtLLHB PHY-jIi-b ull/ISIuN bTHFF
rt. UH
1 .
2.
3 .
N-OL-•UHArtFF LHBURHTUHY:
Nucleai: React ions
I'l.Ka.KPI.
b.
A.
. libhta
. Guptabal<Jkrii>hnan. KbrekaUeKailasl-hatter jets
ftohd. I s m a i l 1
S.b
; u i
fcl.L
PI.G
R.P
PI.A
N.LU.RH.H,
. baini
. FernandezZdr Sin&h2
. binha
. Betigeri
. Arund
. tsuaran
. Rjyauuansi
. Chakraborty
. Uia
Nuclear Reaction Theory
N. !B.K,
b.C,
iarma, Jain» Jain. Pathak3
Nuclear Spectroscopy
U.I/,U.Pl,P.J.U.b.Pl.Y.
,K. Baba, Datar, Shalerao, Ambakar, Uaze. Patuardhan
4 .
5 .
6c
7 .
I o n
N. iP.K.m. i..A . L i .
n.3.S.t i .
O.K.U.K.
\lan-
V.ft.
5.G.0.3.P.R.
G.U.R.P.S.J.PI.E.H.U.
lip lantof.ion
jdiinaBhatta^haryaBhatidu/atjh'4
Kan^ara
Gaonkar5
boodDeb
•db-Graaff iiaintenancei Oparatlons
HattanyadiPlishrabhukla
Sis>h tLiundnr Rao
BhattKulkarniPlandkeDoctorPdtkar
Isotope Separator
U.A.
F.«.K.L.
HattangadiShathanaPat el
L. Shallom
Tandem Accelerator Project
Pl.K. PlehtaPI.G. BetigeriJ.N. SoniT.P. DavidPitambar SinghL.\l. Rayarappan
1. On leave to VEX.2. Student Pan jab University, Chandigarh.3 . Pool Off icer.4 . Un deputation to Jenmark.5. Raaearch jtudent, Bombay University.
- 105 -
B. FISSIUN PHYSlLb
R. RamannaS.S. KapoorQ.M. NadkarniU.S. HamamurthyN.N. AjitanandS.K. Katariafl.K. Lhowdhury1*1. PrakaahRakha Flittal
P.N. Rama RaoS.R.S. MurthyB.R. BallalK.N. IyonyarS.L. Raote
X-ray flourusconee
5.S, KapoorK.U. ViswanathanPiadan Lai
L. SOLID STrtTk. PHYblCb
1. Neutron Scattering
P.K.B.A.K.R.C.L.P.S.S.K.P.P.A.H.
M.S.
I y e n ya rDasannacharyaRaoThapurGoyalSinhaChandraUankatosh
Satya MurthyL. Pladhav Rao
R.a.U.t.
BeyumHakhecha
S.K. ParanjpeR. Uhakrauarthy
P.R. WijaydraghauanB.S. SrinitfasanPl.R.L.N. NurthyP.K. OayanidhiA.a, Qeshpandbo.L. Lhaplot
2. Liquig Crystals
K. Usha OenizP.S. ParuathanathanA.a. Paranjpu»».I. Hohta'
3. Raman Scattering
A.P. RoyU.C. Sahnifl.L. Bansal
4. Wo'sabauar Studies
P.K. IyengarK.H.P.H. RaoS.C. BhargauaN.K. Jaggi
5. t-iectronlc States
U.C. SahniP. Chaddah
6. Lou Temperature Physics
M.S. Satya PlurthyU.K. ChopraG. OharmaduraiT. Srinit/asanA.P. aagool
7. Theoretical Group
H. bubramanianI.U.U. Rayhauacharyuiui/.C. SahniK.\i. Bhayuat
S.L. Narasimhan
1. Research Scholar, Bombay University.
- 106 -
SUPPORTING MCILITI tS
1 • Neutron detector•
Y.D. Oande
M.C. 3ainR.3. UdyawarG.U. jhenoyb.R. Chinchanikar
2. t-J.ectroni.c3 liaalun k Qfltfalopatent
U. Singhl/.Pl. ahahft.S. KotharsV.G. GaonkacJ.N. JoahiN.O. Kaiikar
3. Morkshop
.D.N. SoniK.ft. QhallU.B. Oikshita.Ro SauiantJ.S. Chawl*C.S, Pat11V.D. San Bars
4 . Administrative
T. RamanujamVijaya RavindranathA.J. KulkarniR.S. PillaiPadmini RavindranB.R. GauharK.K. KanitkarS> Prakasan
Also with the Phasic* Group Office.
- 107 -
Publ icat ions and Papers
JUUHNrtL URTlLLtS
Solid State Physics
Pl.L. Bunsal and A.P. Roy, "Rotational Corre lat ion I n Cyclohuxanaby Raman Sca t td r ing" , Chem. Phys. L e t t s . 5J3, 813 (1977 ) .
P. Chaddah, "Mamtmtum Density of Llectrona in Liquid Aluminium",Hhys. L e t t s . A 63., 51 (1977) .
P. Chaddah and V . I . Sahni , "Compton Pro f i l es of Isomeric Cam-pounds Methyl Formate and Acetic Ac id" , them. Phys. Le t ts .4 £ , 311 (1977) .
G. Qharinadurai, "k High Flow Rate, Lou Pressure Safety Value for*He Pumping L ines" , Lryoyenics 1_7_, 702 (1977) .
N.K. Jagy i , K.K.P.M. RJO and P.K. lyengar, "Monte Carlo Study ofSpin Glass bcihaviour in Concentrated Binary MagneticSystems", Sol id btatu Commun. %±, 309 (1977) .
( j . Paret te and '.. nadhav Rao, "~>mall Angle Diffuse Neutronbcat ter inu Maaaur uments on 1/^3 ^n *"ne Temperature Range<4uO-6uOK", Sol id State Commun. 23_, 179 (1977) .
R.G. P i l l a y , P.^. Tandon, H.G. Deuare, N.K. Jagyi and K.R.P.CI. Rao,"Hyperfine I n t e r a c t i o n Studies i n Ferromagnetic RhjMnSn",Sol id State Commun. 23., 439 ( 1 9 7 7 ) .
V.C> Rakhbcha, R. Chakrauarthy and N.a. aatya Murthy, "ApparentLou A-:>ite Moment in re^O^", 3. de. Phys. 3_e, C1-107 (1977 ) .
A.P. Roy, "Laser Raman Spectrometer", Phys. Neus. 8 , 14 (1977 ) .
A.H. tfenkdteah and K.H. Rao, "A Simple White Beam Neutron D i f f r a -c t ion Technique", Pramana £ , 1B4 ( 1 9 7 7 ) .
Fiasion Physics
M.N. H j i tanand, "A Semi-empir ical Expression for Specif ic Lumine-scence in P las t ic a c i n t i l i a t o r s " , Nuclear Instruments andMethods | £ 3 , 345 (1977 ) .
S.S. Kapoor and R.K. Choudhury, " I n t e r p r e t a t i o n of Fiasion Frag-ment Anisotropies in the Fission of 2 3 8 U Induced by I n t e r -mediate tnergy * He Ions", Phys. Rev. Cj j j , 459 ( 1 9 7 7 ) .
S .S . Kapoor, U.S. Ramamurthy, M. Lai and S.K. K a t a r i a , "Searchfor Superheauy Lleoients Monazite from Beach Sands of SouthI n d i a " , Pramana g_, 515 (1977 ) .
- inn -
B. Kr ishnara ju lu , d.K. Muhla, H.K. Lhuudhury, U.FI. Nadkarnland ' J . ^ . Kapuor , "Yiwldu -i nd Lnar.jy Spectra of LlyhtLharyiad ^JrticJoB imjttfcd in Ndutron Jnduc ad f i «s ion of<JS>u", Pr«niana U, J1L. (19/7 J.
U.b. Ramamurt.hy and j . b . Kapuur, "[ .valuation of Nuclear ShallLorrtut-iun Loui yie s fur R e a l i s t i c -ichems a by TemperatureSmn<u iny Pluth.id", Ptamana 9 , 6 U (1977 ) .
U .J . Hsmamurtliy, H.K. Lhucidhuiy and J . t . liuhankr i shna, "Studiesuf Proiipt tinmniii Kjy Flul t i p l i c l t y L)i9tr lbotlans In bponta-nboin Fissiun of *$2'Cr", Pramana B , J22 (1977 ) .
Nuclear t'hyolia
5.K. Gupta, "Hiyh rtssolution Gamma-Hay bpecttum from Concreto",Nucl . i c i . 4 tnyy . fa3_, 19J ( 1 9 7 7 ) .
B.K. Jain and b,L. 5hah, "btruny Absorption Model for Pion InducedKnoukuut HB.ictian", fvucl.;ar Phyoics ft 3u2, 4 0 1 , (1977 ) .
N.L. Ju in , "Ac t iu i t i as in Nuutron Radiuyraphy at Trombay", A not*published in Neutron Rarti oyraphy Newalettei ±5_, 1 (1977 ) .
S. Kallas and S.K. Gupta, "Volume In tegra ls of Nuclear AbsorbingOptical P o t e n t i a l s " , Phys. L e t t s . 71B, 271 (1977 ) .
("l.K. f luh ta , b. Kd i l as and K.K. bhekaran, "Total ( p , n ) ReactionLraas—boLtiun Study on •>'tf outjr the Incident Energy Range1.56 to 5.53 M B V , Pramana J3, 4 19 ( 1977 ) .
n.A. flahroan, !"!.*. Aual , H.l<l. Ben Gupta and S.K. Gupta, "TheSpin-Par i ty Aasiynmunt to the Resonance Lewsl 13.980 MBUi n i a b i " , Nuuioar Sc i . 4 App l ica t ion Supplement-1 ser ies B,p.77 (1977) .
CI.M. Rahman, 11.* . Aual , I*). Rahman, H.i1). ban Gupta and S.K. Gupta,"Hiyh Hoso^ution Gamma-Hay bpec troscupy of the 2 7 A l ( p , r ) 2 8 S iRusonanca React ion", Pramana ti_, A/ti ( 1977 ) .
fri^LRb PHLbtNTLJ XT LUNFt.HtNi.L5 riNu lifcLTXNUa
iiol id State Phyaics
Nuclear Physics end Solid State Physics byropualum (DttE)f Poona,Uece'iiibu'F "1977
Cl.L. Uanaal, "i\ He-Cd Laaer for Raman Studies".
M.L. Banual and ^ . P . Roy, "Rotat ional Correlat ion in Cyclohsxaneby Raman bca t te r ing" .
1*1.L. Bansal, \j,L. oahni and ft.P. Hoy, "Space Group Changs Accom-panying Order-Disorder Transi t ion in Cu(NH L e i .2H-0" .
- 109 -
P. Chaddah, "Llectrun Momentum Oensity studies and Comptonbcatturiny".( Inulted Talk)
R. Cnaki Juarthy, L. Nadhau Rao, 1. Jirak and N.S. Satya Plurthy,"fiomunt Distributions in Nickal-Ruthenium Alloys".
b.L. Uhaplot, K.R. Hao, A.H. l/enkatesh and P.R. Vijayaraghauan,"Lattice Dynamics of cst-Potasa ium Ni t rate" .
i/. Chopra, "Ultra Lou Temperature Techniques" ( Invi ted talk inSeminar on Physics at Lou Temperature).
B.A. Qasannacharya, P.S. Goya I, b.K. binha and C.I. Thaper,"Rotational Dynamics of Ammonium Ions in OctahedralSurroundings".
B.A. 0ajannacharya and P.a. Goyal, "Rotational Torm-Factorof NH^I".
G. Oharmadurai and B.A. Ratnam, "Luolution of an Induced Hotapoton a Lony oup er—conducting Thin Film Plicrobridge".
N.K. Oayyi, K.R.P.fl. Rao and W.P. oubramanian, "A Hossbauerbpectroscopy Study of Natural Alterations of I lmenitss".
N.K. Oaggi and K.R.P.fl. Rao, "Thurmodynamics of a SimpleSite-Muenched Claynetiu Mixture".
5.K. Paranjpa, taathik N.A. Hanak and R.J. Beoum, "f lnt i ferro-muynetism in Clixed Heusier Alloy (Cu, Pd ) 2 ClnAl".
R. Subramanian and K.U. Bhayuat, "On Certain Functional Analy-t i c a l Aspects of Band-Cdye States".
K. Usha Genii, A . I . fiehta, U.H.K. Rao, P.S. Parvathanathan andA.S. Paranjpe, "Temperature Oapsndence of the DensityUolume Expansion coeff icient and T i l t Angle of H 6PA for250K <^T ^ 34UK".
K. Usha Oeniz, A.S, Paranjpe, P.S. Paruathanathan, L.B. Plirza,H«I . ftehta and K.a. Patel , "Phase and Phase Transition inthe Compounds p-n-Alkoxybenzylidene-p-Aminobsnzoic Acids".
C.L. Thaper, ^.K. Slnha and B.A. Uasannacharya, "NeutronInelastic Scattering from Glycine and DL-oC-Alanine".
O.K. Sood, fU ..Sundararaman and R. Krishna, "Blistering byHelium Ion Bombardment".
O.K. Sood, "Empirical Rules for jubst i tu t ional i ty inSurface Alloys Produced by Ion Implantation".
- 110 -
I n t e r n a t i o n a l j u i i d s ta te Ph.y3i.ua Symposium, Ca lcut ta , Jan 1977
B.A. uasannachaiya, P. b. Goyai and C.L. Thaper, "Reor ientat ionalnotion of rtinmunium Ions in bsvaral Ammonium j a l t s " .
K.H. H«io, P.K. lyanydr, H.H. Wenkateah, P.R. Vijayarayhavan and3 .F . Trevino, "Phonons in KNO ".
N.K. J a g y i , K.R.P.rt. Hdo and P.K. Iysnydr, "Nossbauer iipcctro-scojjy btudy of Ternary Hlloya Co FeGa and Fe CoGa".
K.R. Rao, i>.L. thapiot, P.K. lytnjrfr, A.H. UanKdtsbh vind P.H. l / i j jydrayhawan, "Lattice Oynamica of Potassium Nitrate I I " , Int .tonf. on Lattice Jynamici, Pjris (1977).
4th Jnternaii onaX Conference) on Hyptsrfina Interactions, Orniu Uni-versity, Cladii.on, U.~J,X.', Juhe'1.977 {"ala'o" publTshnd in Hyperfine
~TT~Z 7
N.K. Oagyi, K.R.P.n. fiao, rt.K. Grcv/er, L.C. Gupta, R. U i jaya-racjhawan and Le diny Khoi, "Mo'ssbauer and N.P1.R. jtudy ofSi te Preftironce and Local tnuironment L f fecta in Co„F8Gd andFe CoGa". *
R.G. P i i i a y , P.N. Tandon, H.G. Jeuare, N.K. Jaggi and K.H.P.M.Rao, "Hypt-rfine Mdjnetic Fialda at Rh and Sn Sites in Ferro-magnetic Rh Mnsn and Thair Temperature Uar ia t ion" .
Fission Physica
Nuciear Physics and S,uiid btatu Phy aio» aympoaium (D*tE), Poona,Oacember 1977 " •
N.N. H.jitdnand, K.N. lyenyar and S.R.S. f lurthy, "TFSO Responseto Fragments from Liyht Charged P a r t i c l e Accompanied Fissionof 2 3 6 u " .
ri.K, Choudhury, O.n, hadkaini, P.N. Rama Rao and S.S. Kapoor,"ftultipdrameter Studies of Mass, Energy and Angle Correla-tions in Ternary Fission of 235U induced by Thermal Neutrons".
H.K. Choudhury, U.S. Ramamurthy and J.C. Plohankrishna, "Multi-p l ic i ty Distribution of Prompt Gamma Rays in SpontaneousTernary Fission of 2 5 2Cf".
O.M. Nadkarni, R.K. Choudhury, j . S . Kapoor, B. Krishnarajuluand G.K. Clehta, "tmiasion of Indiuiduai Light Charged Part i -cles U = 1,2) in 120-500 KaV Neutron Induced FisBion of235 u...
- 111-
P). Prakash, U.S. Ramamurthy, S.K. Kataria and S.S. Kapoor,"Lffdct of Frictiun on Fraymont Motion Near Scission Pointand Fission Fragment Kinatic Energies".
PI. Prakash, "Transmission Throujh Biharmonic Oscillator Poten-tials: Application to Joublu-Humped Fiaaion Barriers".
PI. Prakash, "yuantitatiue Resolution of 23<i Th-Anomaly".
U.S. Ramamurthy and S.K. Kataria, "Microscopic fiodel of LouHeauy Ion Coilisiurt".
S.S. Kapour, "tharya Particle Induced Fission and Fission LikeRbactions", International Lonfurante on NuclBar Phy3ics atCyclotran Lneryies, Lalcutta (1977).
International Uonfefence on Nuclear Structure, Tokyo (1977)
S.K. Kataria, U.S. Ramamurthy and S.S. Kapoor, "Semi EmpiricalNuclear Leuel Density Formula".
U.S. Ramamurthy and S.K. Kataria, "Classical Microscopic (Des-cription of Particle Cluster Collision".
U.S. Rdniamurthy and S.S. Kapoor, "Analysis of Fission Excita-tion Functions and to Uetermination of Shell Effects atthe Saddle Point".
Nuclear Physics
Nuclear Physics and Solid State Phyaica Symposium (DflL), Poona,December 1977
V.K. Agarwal, C.U.K. Bab ha, S.PI. Bharathi, U.M. Oatar, H.C.Jain and B. Lai, "Leuel Scheme of 81Kr".
A. Chatterjee, S. Saini, S. Kail as, N. Anuntaraman, PI. Bala-krishnan and Pl.K. (Ishta, "Resonance bpectroscopy of theNucleus 4 4Ti".
O.H. Chakrabarty, N.L. Ragoovanui, H.H. Oza and PI.A. Lsuaran,"A Method of Alternate Recording of On and Off ResonanceYields at a Fast Hate to Smooth out the Background".
T.P. Dawid, Pl.G. Betigori, P. Singh, J.N. Soni and M.K. Mehta,"Voltage Testa of Tandem Accelerator at BARC".
S.K. Gupta and S. Kailas, "Microscopic Calculation ofNucleus-Nucleus Complex Optical Potentials".
A.K. Jain and N. Sarma, "Application of Thomad-Fermi Gas Modelto Strongly Damped Collisions of Heauy Ions".
- 112 -
O.K. Jain, "Scrutiny of thu Impulse Approximation for (p, 2p)Heactiun".
Pl.t. Jhinyan, K.P. Anand, S.K. Gupta and O.K. Hahta, " °"(n, 2n)and CT(n, 3n) Lroas Sections on the Baftis of Stat is t ica lModel For Haavy Nuclei".
Kiran Kumar and A.II. Jain, "Microscopic Calculation of O-Sca-tteriny Including Lxchanye Lffects".
•4- •+S.C. Phatdk and B.K. Jain, "Off Shell t f fecta in ( IT , IT P )
Reaction on 1 2 C".
S.C. Phatak and B.L. Sinha, "The Imayinary Part of Nucleus-Nucleus Potential".
S. ia in i and M.R. Gunya, "Hiyh Spin Stutus in 4 5Sc".
Gulzar Singh, S. Kuilas, A. ChatterJea, b. Saini, ri. Balakriahnanand Pl.K. Mehtd, "Fluctuation Analysis of 4eCa (p, n)48Sc Totaltxci tat ion function from 1.9 to 5.1 del/".
P. Sinyh, A.K. Jain, T.P. David and fi. G. Batigeri , "Ion Opticsfor Accelerating Tube of 2I"1U tandam Accelerator".
Bikash ainha, "Iujcleu»-Nucleus InLwraction Potential" ( Invitedtalk in Seminar on Optical Potential ) .
Bikaah Sinha, "Nuclear Friction and the Imayinary Part of thsNucleus-Nucleus Interaction Potential" .
R.I/. Srikantiah, H.J. bhetty, P.K. Bhattacharya, S.G. Gaonkarand Horace ft. Aniayyei, "Studies of Ion Implanted Semicon-ductor Detectors".
Proc. International Conference on Nuclear Physics, Tokyo (1977)
PI.A. ttwal, PI.A. Rahman, H.M. bun Gupta, G.O. Oin and S.K. Gupta,"A 7/2 Heaonanca in 55Co".
L.U.K. Baba, U.N. Oatar, l/.K. Bharyava, R.H. Iyer, S.G. Clarathaand <J.K. Rao, "Search for Bound Pol yneutron Nuclei in thefission of 2 3 6 " .
rt.K. Jain, "A Stat is t ica l Interpretation of Large Energy Trans-fers in Heavy Ion Collisions".
A.K. Jain and N. Sarma, "Finite Range OUBA Calculation for thaD(d,t)H Reaction".
S. Kailas, N.K. Ganguly, O.K. fiehta, S. Saini, N. Vesrabahuand Y.P. Viyogi, "bpectroscopic Factor from the Study ofIsobaric Analog Resonances Through (p,n) Reactions".
- 113 -
I*I.K. Plehta, A.L. Athouyies, A. Chatterjaa and S. Ka i l as ," I x c i t a t i o n af ^hapii Idomera in Uranium Isotopes".
S. Sdini and b.K. Uupla, "Global t f f u c t i v e In teract ion fromSimple Mucluar Spuctra".
N, barma, "Luwdls in • Aa Throuyh a Proton Transfer Raact ion".
N. barraa, "A b t a t i u t i c a l In tyr pre ta t ion Df Large Energy Trans-fers in Heauy Ian C o l l i s i o n s " .
B u l l . Am. Phya. Sou. 22 (1977)
PI.A. tsuidran, H.t. Uore, H. Look and J.P. Draayer, "A Study ofthe RtMution 1 ;lF(6Li,d )i3Na dt 36 rieU".
FI.A, tbuarsn, H . t . lioro, "Sys tamatics of Ground btata Alpha-Liuator bpuctroscopic btrenyths for Odd A s-d Shel l N u c l e i " .
CI.M. Lswj.dn. C. buyontidk t r , H .N . Boyd, R. Cook and H.C. Gore,"The 1 t 5 O ( 6 L i , d r ) Ruaction".
H . t . Gortj, n.A. tuuarcin, R. Look and N. Rust, "The Reactions2 V « l ( 6 L i , d ) 3 1 P and J 1 p ( 6 U , d ) 3 5 C 1 " .
In tBrnat lonal boldr Lnoryy Conyraas, Delhi (1977)
N. Sarma, "Ion Implanted boldr C e l l s " .
N. Sarma, " U l t r a - u i o l e t Absorption Produced by Phosphorous IonImplantat ion of Fused b i l i e a " .
N. Sarma, "Applicatiofi of the Thomas Fermi Gas Model to StronglyDamped Col l is ions of Heavy Ions" .
A.K. Ja in , " S t a t i s t i c a l Approach to Heavy lun C o l l i s i o n s " , Inv i tedTalk , I n t e r n a t i o n a l Symposium on Nuclear Physics at Cyclotront n e r y i e s , Ca lcut ta , September 16, 1977.
N.C. Ja in , "Neutron Radiography with Track-Etch OetBctors", Paperpresented at the Symposium on "Isotope Applicat ions i nIndustry" , Tromtiay Feb. 2-5 (1977) .
- 114 -
RtPORTS Iiii»Ui.D
A. Chatterjes, rt.L. Mthougies and O.K. Plehta, "Stat ist ical l«lod»lCalculation of fission Isomer Excitation Functions in (n , n ' )and (n, Y ) Reactions", B.rt.R.C. Report No.936.(1977).
S.K. Kataria, S.S. Kapoor, N. Lai and B.U.N. Rao,,"QuantitativeAnalysis with Lneryy Diapersion X-ray Flourescenca Analysis",B.A.R.C. Report No.959 (1977).
THLSib
The following theses were submitted during the ysar for the awardof Ph.O degree from University of Bombay:
P. Chaddah, "Compton Scattering oC Some Studies on ClactronMomentum Densities in Solids and Liquids" - Ph.O degreaUniversity of Bombay.
V .U Rakecha, "Spin Density and Spin-Uave Dispersion tnvastlga-tions in Some Claynetic by a turns Using Neutron ScatteringTechniques" - Ph.O thesis University of Bombay.
- 115 -
Seminars
ih LULLUMUIA nj
"Non Linear Uptiua: Two Photon Absorption and CombinationFrequency liunerat iun", H.V. Fan, Purdue University, U. 5. A,Jan 6, 1977.
"Smniclaasical Theory of Heauy-Ion Transfer Reactions",H. Hasan, Tata Institute of Fundamental Research,Jan 18, 1977.
"Exporimantal Te»t of Kinetic Theory of Dense Fluids-TeatParticle liution and Density Fluctuations", Sou/ Hsin Chanand Sidney Yip, Oept. of Nuclear tnyineering, MassachusettsInstitute uf Tectmuluyy, U.b.A, Jan 19, 1977.
"Particle and Nucluar Physius from .Huon Capture", N.C. Mukhopa-dhyay, SIN, Zurich, Jan 28.1977.
"Recant Proyrusa in Positron Fermi burface and momentum Densitywork", P.t, Mijnarends, Reautrum Centrum, The Netherlands,Jan 28, 1977.
"Intaraction of Pi-mesons uith Nuclei", S.C. Pathak, Universityof flanchester, Feb 1, 1977.
"Some *spect8 of Neutron Scatteriny from Magnetic Systems",T.J. Hicks, University of Oonash, Australia, Fab 3, 1977.
"Three-Deimen^ional Structure and Function of Carbonic Anhydraaea",K.K. Kannan. Uallenbery Laboratory, University of Uppsala,Sweden, Fsb 21, 1977.
"Amorphous Solids", B.R. tolus, imperial College, London, Feb 25,1977.
"Highlights of Present-Day Nuclear Physics txperiments withAccelerators", N.K. Ganguly, UEC Project, BARC, March 1, 197".
"Photoelectron Spectros<<:opy (UPS, ESCrt) of Solids"', C. Ghosh,Opto-Cluctronics Section, E'rtflC, March 29, 1977.
"Liquid Crystals and their Applications", K. Usha Deniz, NuclearPhysics Division, BARU, npril 5, 1977.
"The Theory of Anolastic Relaxation", M. Balakriahnan, ReactorResearch Centre, Kalpakkam, April 6, 1977.
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"Accelerators at Lawrence Berkaly Laboratory", 0.3. Clark,L6L, Berkeley, April 12, 1977.
"Excitation of Shape Isomors in Uranium Isotopes",Mrthur rtthoyius, Nucluar Physics Division, 6ARC,April 14, 1977.
"flossbauer Effect Investigation on. Hemoglobin and itssubunits", Ambuj Plukharjes, City of New York, U.S.A,April 26, 1977.
"Phaae Transitions Involving Configuration nixing",
Flustansir Oarma, Theoretical Physics Group, T.I.F.R,Aoril 26, 1977.
"Ion Implantation in Semiconductors", Amitabh Jain, Centre forApplied Research in tlactronics, I.I.T., Delhi,April 27, 1977.
"Spin Glasses", Deepak Kumar, Hoorkee University, Roorkes,June 20, 1977.
"Photon and Electron Induced Fission of Even-EvBn Actinid8«",8.b. Bhandari, Pahlavi University, Shiraz, Iran,*ug 16, 1977.
"Report on the Accelerator Conference huld at Serbukhov, USSR",A.S. Divatia, VEC, Calcutta, Auy 19, 1977.
"Application of Inelastic electron Tunneling Spectroscopy (IETS)to Radiation Induced Degradation of Organic l*lol acules",Oihir Parikh, 1BPI, T.3. Uatson Research Centre, New York,U.S.A, Sept 17, 1977.
"Highlights of the International Conference on Nuclaar Structure,Tokyo", C.l/.K. ttaba, Nuclear Physics Oiuiaion, BARC,Sept. 27, 1977.
"Towards Absolute iero", O.U. Lounasmaa, Helsinki University,Finland, Oct. 28, 1977.
"Exchange Correction to Electronic Dieluctric Function of, RealCrystals", H.P. Singh, I.I.T., Pouiai, Bombay, Due. 13, 1977.
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IXLTURllb rtNQ Stl'lIMBS
Lectures and iumindra dulii/ered by members of the Ciui9ian,other than thuiu inuludwJ in Physica Colloquia at BARc arej
Solid btate Physica SuutiunaX Samlnars at BWRLi
"Auouatic Holoyri i ' jh/", U.i.. t>ahri, j : n i 5 , Feb 3 and Clarch 5, 1977.
"Ccyabal Fluids in Alloys by Neutron Scatter ing", R.J. Beyum,Fbb 18, 1977.
"Trends and Proapacts of Appliedtion^i of Thermal Neutrons",K.R. Hao, Fdb 25, 1977.
"Raman SuJtteriny from Clalecular Liquids", M.L. Banssljflarch 19, 1977.
"Polarisud Neutron ijtudy uf Ni -Ru , Hlloy", I. J i rak,Apr i l 1, 1977. 0 < 9 7 U ' L ' 3
"Greun's Functions", K.V. Shayu/dt, rtprii 19, 22, 26, 29 andClay 4 , 1y77.
"Some New Spin Glass bystum3", N.K. J-iyyi, July 8, 1977.
"ftaynutit: Propert i ja uf Mutinidea", H. thakrauarthy, July 19, 1977.
"Tunndliny SpeiL-troscopy", U.K. Lhopra, Auij 26, 1977.
"Applicat ion uf Gaen'ii Function Wuthod ta i lec t run States inSolido", P. Lhadddh, rtuy 72 and 19, 1B'77.
Seminar on Nuutrun bcattering UjnUuutad by ,'ndjan Phyaica Aaaocla-t ion (fiomtjay Lhaiptar), Doc 3. 1977
"Introduction to Ntiutron Scattar iny", K.R. Rao.
"Study uf B io loy ica l l ioleculus", A.S. Sequuira (membar of NeutronPhysica Div is ion) .
"txpsrimentdl Techniques", L. Fladhau Rao.
"Study of Non-mdgnetic aol ida", C.L. Thaper.
"Playnetic rtspucta", 'J.C. Hukhechd.
"Liquids & I'loleculBa - some examples", B.rt. Uaaannachatya.
"Nuui Techniquus", fi.H. Satya Plurthy.
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Seminar on Mork at Liquid HoUiwi Temperature hold at BARC onOct 11. 1977
"Introduction to Philips Halium Liquif ier", N.S. jatya flurthy.
"Suparconductivity and Magnetism", U.K. Chopra.
"Tunneliny Spactroscopy at Lou Temperaturaa", B.A. O«sannach«rya.
"Ultrasonic Attenuation Studios at Low Temperatures", P. Chaddah.
"Superconducting Thin Film Flicro-Bridges", C. Uharmadurai.
"Oilution Refrigerator and mtra-Low-Temperatura Technology",
U.K. Lhupva.
Heavy-Ion Uorkahop hald between Feb 1977 - Mug 1977 at BARC
"Deep Inelastic Collision between two Heavy Ions"
I - Currant Status of £.xpsrimant» in Heavy Ion Coll ision*,S.b, Kapoor.
I I - Macroscopic Descriptions of Hea>:y Ion CollisionDynamics, U.S. Ramamurthy.
I l l - Pluchaniam of Class txchanye in Deep InelasticCollisions, S.K. Kataria.
"ntcroscopic Theoriaa of Heavy-Ion Collision Dynamic*"
I - Linear Response Theory, B. Banerjee, from T. I .F.R.
I I - Phunomanalogy and Response Theor-', B. Sinha.
"Imaginary Part of che Ion-Ion Interaction Potential", S.C. Phatak.
"A Simple KineroJtical Clodel for Energy and Class Transfsr inHeavy-Ion Collision", A.K. Jain
"Neutron Radiography", N.C. Ja in , a t Training Course i n AdvancaCourse in Indus t r ia l Radiography at BARC.
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Uthar Scienti f ic Act iv i t ies
Thu members of thti Uivisiun have been actively involved in
Teauhiny and Training Proyramrnes, uryanisatiun of Symposia and
have served on various committees of the Department of Atomic
inorgy, Universities and thu Indian Physics Association. A brief
account of those <Jcti i/itios its as follows:
TtMLHIMG HNJ TRAINING
Like the previuus years, uarioua cuursos in Nuclear Phy8ic3,
i o l i d Jtatu Physics and Uuantum Piuchani a wore delivered to the
traineua of the 6.M.R.C. Training School and poat graduate students
of tha Univurciity of Bcimbay.
Traininij fur Mutionai Scitmce Talant Soarch Scholars and
fbfroaher course for Pofat Graduate Univoraity Teachers mere al3o
artdnyuj. These |jroyrdmmaa art a ruyular featurs duriny the summer
and are constantly revisfad in ducordance with the feedback from the
recipients.
fur several years, (numbers of the Oivision havu been organising
the Nuclear Physics and the Solid State Physics Symposium of the
Department of Atomic Lnuryy. This is a National Symposium, held
every year towards the end of Oecumber, in which the members of the
Physics Community from all over the country get together and discuss
their work. This year's Symposium uds held at Poona University,
Pune during December 27-31. The Convener and Secretaries of the
iymposium are from this Division. The proceedings of the Symposium
are published undur their guidance.
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AND HLaLrtKCH but)l£a
Plemtiurs of the Division hdi/e bean actively involved in the
promotion of sc ient i f ic and research ac t iv i t ies in the Country and
havt* bean serving on several national committees. During the year
of this report they have been connected with!
Research grants and Scholarships to Universities from the
Board of Kesearch in Nuclear Science of the Department of Atomic
tnaryy;
Ut i l izat ion of the Variable Inergy Cyclotron at Calcutta}
University Grants Commission's ad hoc Committees for special
assistance programmes to Universit ies;
Board of Studies for Physics and Selection Committees for the
teaching Staff in several Universit ies;
Indian Physics Association, both in i t s National Committee
and Bombay Chapter.