The quadrupole coupling of B-12 implanted in Be-9 has been observed using a single crystal of Be. One sees a narrow resonance line, the location of which depends in the normal way on the orientation of the crystalline c-axis with respect to the external magnetic field direction. The coupling constant is given by e2qQ/h = 54.9(6) kHz. This is consistent with our previous measurement using a Be foil. Using the field gradient at Be-9 lattice sites, calculated by Pomerantz and Das, one finds Q(B-12) = about 34.6 mb

Haskell, Richard C.

Madansky, Leon

Williams, R. L., Jr.

English

Scholarship@Claremont

Claremont CollegesScholarship @ ClaremontAll HMC Faculty Publications and Research HMC Faculty Scholarship1-1-1971Observation of Quadrupole Splitting of B-12 in aSingle CrystalR. L. Williams Jr.Richard C. HaskellHarvey Mudd CollegeLeon MadanskyJohns Hopkins UniversityThis Abstract is brought to you for free and open access by the HMC Faculty Scholarship at Scholarship @ Claremont. It has been accepted forinclusion in All HMC Faculty Publications and Research by an authorized administrator of Scholarship @ Claremont. For more information, pleasecontact scholarship@cuc.claremont.edu.Recommended CitationWilliams, R.L., Richard C. Haskell, and L. Madansky, "Observation of quadrupole splitting of B-12 in a single crystal." Bulletin of theAmerican Physical Society 16.12 (1971): 1417.1417cting high energy scattering amplitudes.effect of long-range correlations has beenated by using a macroscopic collective1 to describe the low-lying 2+ (4.44 MeV),.6 MeV) ,and 3-(9.6 MeV) states. Thesees make a correction to the optical poten-through the second-order correlation func-which usually includes only Pauli and-of~mass correlations. These correctionserably improve the agreement betweenyand experiment. In addition, the dif-tial cross-section for scattering and ex-tion of the low-lying states has been cal-ted using the same model and is in substan-agreement with experiment.Partial-Wave Contribution in ~-Nucleus Scatter-Near the 3-3 Resonance. RYOICHI SEKl, San FernandoState Colle e.--Within the frame work of the mul-scattering formalism which we proposed previous-we have examined how much each (~-nucleus) partialcontributes to the ~-nucl~us total cross sectionsthe 3-3 resonance. It is found that the appreci-contribution comes from partial waves up to ae larger than kR, where k is the pion wave numberis the geometric radius of the nucleus seen by theand also found that the largest contribution comes'Partial waves'" kr4, where r is the RMS radius ofue Leus r The 1T-nucleus scatterings show remarkablya feature of the simple black-body scatteringsd by formation of the 3-3 resonance in the nucleus l •esult of our calculation seems to be in agreementoa partial wave analysis of the ~_C12 scatteringse of an impact parameter method 2•Seki, Bull. Am. Phys. Soc. 14, 52 (1969) and P~ys •• C 3, 454 (1971).Bdner and P. Huguenin, Helv. Phys. Acta Q. 421970).Deuteron Wave Function at large r , H.WONG*,l'*f, and J.S. !EVINGER, Rensselaer Polytech. --bstitute ana.lytical expressions for the deuteron;f\I.nction (r > 4 F.) into the Schr8dinrer equationthe central and tensor potentials. We compare.~~ and Reid. We consider: i) lwa-dare's wave5>n which gives a poor fit, ii) modified Iwadare,)}g 4 of his parameters (to B = 0.350, f:l = L 235 r l ,;6~ F2, 'Y = 0.640 F- l) to obtain a good fit to~'I?otentials; iii) HUlthen-Sugawara wave function3B,e;ives a poor fit.OnalScience Foundation Undergraduate Research Par-nt.t Harvard University.p et al. Phys. L€tt. m 337 (1970).ra et a L, Prog. Theor. Phys. 10 455 (1956).phen and Sugawara, Physics Handbook, 12> 91 (1957).PhO~odisintegrstionof 1o C Leading to Excited'of:t C and 12B. E. J. WINHOLD, RensselaerMic Institute and AERE llsrwell, UK,E. M. BOWEY,ATRICK, and J. M. REID\ AERE Harwell, UK.--~etector mx~surementsweremade of gamma rayf~om the' c(Y,RY') reactions. These resctions~tisted by bremsstrshlung from the. Harwelld excitation functions for the production?-a(g;a:mma lines were obtained ss a function~ahl,~~end-point energy over the range fromev,;, The T=O 4.44 MeV state and the T=l 15·1f1,2Carebothstronglypopulsted,. asDb~erved. However the cross section for'jJ8}he 15.1 MeV leveiis peaked at 25~;t!l~~dingtothe 4. 44 MeV 1evelpeaksv TheO. 95 MeV state in l2B is weeklyi3cit~d. These results appear g~nera11y consistent withC g~ant resonance calculations" 'Ihich predict a sub-stsntlal isospin splitting of the resonance.~Permanent Address: University of Glasgow.l' 11. Murray, Nuovo Cimento Letters]" 571 (1971).B. R. Easles, Phys. Letters I, l6:~ (1962);Measday et a1, Nucl. Phys. 61, 269 (1965).F~ 5 Observation of QuadruKole Splitting of 12B in aSlng1e Crystal.* R. L. WILLI MS, JR., R. C. HASKELltand l. f1ADANSKY, The Johns Hopkins University--The quad-rupole coupling of 12B implanted in 'Be has been observedusing a single crystal of Be. One sees a narrow resonanceline, the location of which depends in the nOlmal way onthe orientation of the crystalline c-axis with respect tothe external magnetic field direction. The coupling con-stant is given by e2qQ/h ,. 54.9(6) kHz. This is consis-tent with our previous measurementl using a Be foil.Using the field gradi2nt at 9Be lattice sites, calculatedby Pomerantz and Das, one finds Q(12B)~ 34.6 mb.*Work supported by U. S. Atomic Energy Commission.tNSF Predoctoral Fellow.lR. t , Williams, Jr., l. Pfeiffer, J. C. Wells, Jr andt. Madansky, Phys, Rev. C~' 1219 (1970).2M. Pomerantz and T. P. Das, Phys. Rev. l}i, 70 (l 960) .FF 6 Comparison of the Precessions of Angular Cor-relations Produced by Magnetic Dtpole and Axtall S -metric u ole Interactions.* O. KLEPPER, MIT -Acco ng to the semi-classical vector model a;magne-tic dipole interaction or an axially symmetric quadru-pole interaction can result in spin preceaefons j but inthe latter case the spin precesses in opposite direct10nsfor +M~d -M substates. Developing the attenuation fac-tors Gkl~~ (t) for the electr1c case analogously to themagnetic, one can show that a polarization of the nucleusreSUlts in a net rotation of the angular correlation.Generally, one gets a superposition of correlations pre-cessing with different frequencies n(o). and a £on-rotat-Ing part due to the alignment of the nucleus. Experi-ments at the Rutgers.Bell-Tandem will be mentioned whichuse Coulomb excitation with scattering angles,,"<l80° toexcite, polarize, and implant nuclei into single crystaJsand alloW measurement of the sign of (,,)••* Submitted by A.M.Bernsteini Work supported in part by the U.S.Atomic Energy corsn,L.Grodzins and O. Klepper, Phys.Rev. C3 (1971),1019.FF' 7 Measurement of the Nuclear Magnetic Dipole Mo-ment of ali by Implantation in Metal Foils.* R. C.HASKELL'\", R. L. WILLIAMS, JR., and L. MADANSKY, TheJohns Hoakins University--Polarized ali nuclei havebeen pro uced throu9h the 7Li(d,p) reaction using the3.5-MeV Van de Graaff accelerator at Brookhaven Na-tional -laboratory. The observed polarization was aslowly-varying function of deuteron energy over therange 1.3-2.9 MeV, reaching a maximum of about +1.6%.The recoiling nuclei were stopped in Au. Pt and Pd foilsand the effective dipole moments were measured by a re-sonant depolarization method. The results were1.65362(22)1-1/,/, 1.652BB(20)~N and 1:65270(30)1-IN' res-pectj·velY. These are conS1stent w1th the W?rK of Con-nor who found l-l(Bli) = 1.6530(Bl1JbI in a llf crystal.An ~pper limit for the Bli quadrupo'fe moment will alsobe discussed.*Work supported by the U.S. Atomic Energy Commission.tNSF Predoctoral Fellow.10. Connor, PhYs. Rev. Letters 1. 429 (1959).

Observation of Quadrupole Splitting of B-12 in a Single Crystal

Keck Graduate Institute

Claremont Colleges
Scholarship @ Claremont
All HMC Faculty Publications and Research HMC Faculty Scholarship
1-1-1971
Observation of Quadrupole Splitting of B-12 in a
Single Crystal
R. L. Williams Jr.
Richard C. Haskell
Harvey Mudd College
Leon Madansky
Johns Hopkins University
This Abstract is brought to you for free and open access by the HMC Faculty Scholarship at Scholarship @ Claremont. It has been accepted for
inclusion in All HMC Faculty Publications and Research by an authorized administrator of Scholarship @ Claremont. For more information, please
contact scholarship@cuc.claremont.edu.
Recommended Citation
Williams, R.L., Richard C. Haskell, and L. Madansky, "Observation of quadrupole splitting of B-12 in a single crystal." Bulletin of the
American Physical Society 16.12 (1971): 1417.
1417
cting high energy scattering amplitudes.
effect of long-range correlations has been
ated by using a macroscopic collective
1 to describe the low-lying 2+ (4.44 MeV),
.6 MeV) ,and 3-(9.6 MeV) states. These
es make a correction to the optical poten-
through the second-order correlation func-
which usually includes only Pauli and
-of~mass correlations. These corrections
erably improve the agreement between
yand experiment. In addition, the dif-
tial cross-section for scattering and ex-
tion of the low-lying states has been cal-
ted using the same model and is in substan-
agreement with experiment.
Partial-Wave Contribution in ~-Nucleus Scatter-
Near the 3-3 Resonance. RYOICHI SEKl, San Fernando
State Colle e.--Within the frame work of the mul-
scattering formalism which we proposed previous-
we have examined how much each (~-nucleus) partial
contributes to the ~-nucl~us total cross sections
the 3-3 resonance. It is found that the appreci-
contribution comes from partial waves up to a
e larger than kR, where k is the pion wave number
is the geometric radius of the nucleus seen by the
and also found that the largest contribution comes
'Partial waves'" kr4, where r is the RMS radius of
ue Leus r The 1T-nucleus scatterings show remarkably
a feature of the simple black-body scatterings
d by formation of the 3-3 resonance in the nucleus l •
esult of our calculation seems to be in agreement
oa partial wave analysis of the ~_C12 scatterings
e of an impact parameter method 2•
Seki, Bull. Am. Phys. Soc. 14, 52 (1969) and P~ys •
• C 3, 454 (1971).
Bdner and P. Huguenin, Helv. Phys. Acta Q. 421
970).
Deuteron Wave Function at large r , H.WONG*,
l'*f, and J.S. !EVINGER, Rensselaer Polytech. --
bstitute ana.lytical expressions for the deuteron
;f\I.nction (r > 4 F.) into the Schr8dinrer equation
the central and tensor potentials. We compare
.~~ and Reid. We consider: i) lwa-dare's wave
5>n which gives a poor fit, ii) modified Iwadare,
)}g 4 of his parameters (to B = 0.350, f:l = L 235 r l ,;6~ F2, 'Y = 0.640 F- l) to obtain a good fit to
~'I?otentials; iii) HUlthen-Sugawara wave function3
B,e;ives a poor fit.
OnalScience Foundation Undergraduate Research Par-
nt.
t Harvard University.
p et al. Phys. L€tt. m 337 (1970).
ra et a L, Prog. Theor. Phys. 10 455 (1956).
phen and Sugawara, Physics Handbook, 12> 91 (1957).
PhO~odisintegrstionof 1o C Leading to Excited
'of:t C and 12B. E. J. WINHOLD, Rensselaer
Mic Institute and AERE llsrwell, UK,E. M. BOWEY,
ATRICK, and J. M. REID\ AERE Harwell, UK.--
~etector mx~surementsweremade of gamma ray
f~om the' c(Y,RY') reactions. These resctions
~tisted by bremsstrshlung from the. Harwell
d excitation functions for the production
?-a(g;a:mma lines were obtained ss a function
~ahl,~~end-point energy over the range from
ev,;, The T=O 4.44 MeV state and the T=l 15·1
f1,2Carebothstronglypopulsted,. as
Db~erved. However the cross section for
'jJ8}he 15.1 MeV leveiis peaked at 25
~;t!l~~dingtothe 4. 44 MeV 1evelpeaks
v TheO. 95 MeV state in l2B is weekly
i3cit~d. These results appear g~nera11y consistent with
C g~ant resonance calculations" 'Ihich predict a sub-
stsntlal isospin splitting of the resonance.
~Permanent Address: University of Glasgow.l' 11. Murray, Nuovo Cimento Letters]" 571 (1971).
B. R. Easles, Phys. Letters I, l6:~ (1962);
Measday et a1, Nucl. Phys. 61, 269 (1965).
F~ 5 Observation of QuadruKole Splitting of 12B in a
Slng1e Crystal.* R. L. WILLI MS, JR., R. C. HASKELlt
and l. f1ADANSKY, The Johns Hopkins University--The quad-
rupole coupling of 12B implanted in 'Be has been observed
using a single crystal of Be. One sees a narrow resonance
line, the location of which depends in the nOlmal way on
the orientation of the crystalline c-axis with respect to
the external magnetic field direction. The coupling con-
stant is given by e2qQ/h ,. 54.9(6) kHz. This is consis-
tent with our previous measurementl using a Be foil.
Using the field gradi2nt at 9Be lattice sites, calculated
by Pomerantz and Das, one finds Q(12B)~ 34.6 mb.
*Work supported by U. S. Atomic Energy Commission.
tNSF Predoctoral Fellow.
lR. t , Williams, Jr., l. Pfeiffer, J. C. Wells, Jr and
t. Madansky, Phys, Rev. C~' 1219 (1970).
2M. Pomerantz and T. P. Das, Phys. Rev. l}i, 70 (l 960) .
FF 6 Comparison of the Precessions of Angular Cor-
relations Produced by Magnetic Dtpole and Axtall S -
metric u ole Interactions.* O. KLEPPER, MIT -
Acco ng to the semi-classical vector model a;magne-
tic dipole interaction or an axially symmetric quadru-
pole interaction can result in spin preceaefons j but in
the latter case the spin precesses in opposite direct10ns
for +M~d -M substates. Developing the attenuation fac-
tors Gkl~~ (t) for the electr1c case analogously to the
magnetic, one can show that a polarization of the nucleus
reSUlts in a net rotation of the angular correlation.
Generally, one gets a superposition of correlations pre-
cessing with different frequencies n(o). and a £on-rotat-
Ing part due to the alignment of the nucleus. Experi-
ments at the Rutgers.Bell-Tandem will be mentioned which
use Coulomb excitation with scattering angles,,"<l80° to
excite, polarize, and implant nuclei into single crystaJs
and alloW measurement of the sign of (,,)••
* Submitted by A.M.Bernsteini Work supported in part by the U.S.Atomic Energy corsn,
L.Grodzins and O. Klepper, Phys.Rev. C3 (1971),1019.
FF' 7 Measurement of the Nuclear Magnetic Dipole Mo-
ment of ali by Implantation in Metal Foils.* R. C.
HASKELL'\", R. L. WILLIAMS, JR., and L. MADANSKY, The
Johns Hoakins University--Polarized ali nuclei have
been pro uced throu9h the 7Li(d,p) reaction using the
3.5-MeV Van de Graaff accelerator at Brookhaven Na-
tional -laboratory. The observed polarization was a
slowly-varying function of deuteron energy over the
range 1.3-2.9 MeV, reaching a maximum of about +1.6%.
The recoiling nuclei were stopped in Au. Pt and Pd foils
and the effective dipole moments were measured by a re-
sonant depolarization method. The results were
1.65362(22)1-1/,/, 1.652BB(20)~N and 1:65270(30)1-IN' res-
pectj·velY. These are conS1stent w1th the W?rK of Con-
nor who found l-l(Bli) = 1.6530(Bl1JbI in a llf crystal.An ~pper limit for the Bli quadrupo'fe moment will also
be discussed.
*Work supported by the U.S. Atomic Energy Commission.
tNSF Predoctoral Fellow.
10. Connor, PhYs. Rev. Letters 1. 429 (1959).


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Observation of Quadrupole Splitting of B-12 in a Single Crystal

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