page list of tables tv list of illustrations v i
TRANSCRIPT
GAMMA, FAY DISTRIBUTION FROM
NEUTRON EXCITATION IN CESIUM
APPROVED:
P> f o ^ Major Professor
4 „ // *£ .T,.
Minor Professor
J_ t _s Directs^ of Che Department 01 Physics irectpje,
St* "Dea "o't"'the Graduate School " "*
GAMMA RAY DISTRIBUTION FROM
NEUTRON EXCITATION IN CESIUM
THESIS
Presented to the Graduate Council of the
North Texas State University in Partial
Fulfillment of the Requirements
For the Degree of
MASTER OF SCIENCE
By
Richard Morgan Bowers, B. S.
Denton, Texas
January, 1969
TABLE OF CONTENTS
Page
LIST OF TABLES tv
LIST OF ILLUSTRATIONS v
Chapter
I. INTRODUCTION 1
II. INSTRUMENTATION AND PROCEDURE 7
III. RESULTS AND CONCLUSIONS 15 APPENDIX 21
BIBLIOGRAPHY 38
iii
LIST OF TABLES
Table Page
I. Radial and Absorption Corrections 21
II. Differential Excitation Probabilities 22
iv
LIST OF ILLUSTRATIONS
Figure Page
1. Target Holder and Detector 23
2. Block Diagram of Instrumentation ..... 24
3. Delayed Monostable Multivibrator 25
4. Shadowcone and Scatterer 26
5. 0 to 0.5 MeV Cesium Spectrum 27
6. 0.5 to 5 MeV Cesium Spectrum 28
7. Carbon Spectrum 29
8. Empty-Can Scattering Spectrum 30
9. Cesium Minus Background Spectrum 31
10. Correction Curve 32
11. Compton Edge of Standard Sources 33
12. Differential Excitation Probabilities 34
13. Van de Graaff Accelerator 35
14. Target Assembly 36
15. Scatterer and Shadowcone 37
CHAPTER I
INTRODUCTION
133 The study of the energy levels of Cs can be made
133 by both the indirect and direct excitation of Cs . One
133 example of an indirect excitation of Cs is the electron
133
capture of a 7.2 year Ba nucleus (1, 3, 8, 11, 12, 14,
15, 18, 20). This naturally occuring process produces an
excited Cs^^ nucleus which will decay by occupying certain
lower energy levels. With the transition of the nucleus
from one energy level to a lower energy level, a gamma ray
is emitted with energy equaling the energy level difference.
However, there are two distinct disadvantages to this method.
First, there is no possibility of observing energy levels
above 0.437 MeV, since this is the highest energy level to
133
which Ba decays. Secondly, there may be certain energy
levels which would not be observed due to forbidden tran-133
sitions. Another example of an indirect excitation of Cs 133
is the beta emission of a 5.3 day Xe nucleus (14). 133
The direct excitation of Cs can be accomplished by
coulomb excitation and inelastic scattering of neutrons.
133
Exciting Cs by coulomb excitation (4, 6, 16, 17) involves
bombarding the nucleus with alpha particles of insufficient
energy to penetrate the nucleus. The nucleus is elevated
to an excited state by the coulomb field of the alpha
particle. The disadvantage of this method is that only a
small amount of energy c$n be transferred to the cesium.
By inelastic scattering of neutrons (2, 13, 19), a greater
amount of energy can be transferred to excite the cesium
nucleus to higher energy levels. The uncharged neutron can
readily penetrate the coulomb barrier of the nucleus to form
a very short-lived compound nucleus. When this nucleus
decays, it expels a lower energy neutron and leaves the
nucleus in an excited state. The decay of the excited nuclei,
regardless of means of excitation, will produce specific
133
gamma rays characteristic of Cs . The disadvantage of
inelastic neutron scattering is that other materials are also
excited to higher energy levels. This and the presence of
competing reactions, such as (n,2n), (n,p), and (n,oc),
contribute to a high background.
The North Texas State University 160 kV Cockcroft-
Walton accelerator will produce 14 MeV neutrons and 2.5 MeV / ^
neutrons from the D(t,n) He and D(d,n) He reactions
respectively. Young (21) and McAnally (9) made their
investigations with the 14 MeV neutrons, whereas Lamb (7)
used the 2.5 MeV neutrons. McDonald (10) and Dawson (5)
used both the 14 MeV and 2.5 MeV neutrons. The present
study will use only the 14 MeV neutrons produced by the D-T
reaction.
In earlier investigations by Young, Lamb, McDonald and
Dawson, a single-channel analyzer and digital scaler were
used to locate the gamma rays of cesium. The detector
consisted of a Dumont model 6292 photomultiplier tube with
both a Gsl (Tl) and a Nal (Tl) crystal. This system had an
energy resolution of about 10 percent. Energy levels of
0.079, 0.175, 0.44, 0.56^ and 0.75 MeV were reported. In a
more recent investigation, McAnally used a Ge(Li) detector in
conjunction with a room-temperature, solid state preamplifier
and multichannel analyzer in order to improve the energy
resolution. He used cesium chloride, sodium chloride, and
pure sodium as scatterers. Some cesium gamma rays were
resolved by a complex subtraction process necessitated by
the use of compounds in the scatterer. This procedure left
some doubt about the existence of higher energy gamma rays.
Several refinements have been made since the last
investigation. A coincidence-gating technique between the
3 MeV alphas of the D(t,n) He^ reaction and the gamma rays
detected by the Ge(Li) detector was used to reduce the high
background count. This made interpretation of the results
simpler and more accurate, and allowed longer runs without
overloading the multichannel analyzer. A liquid-nitrogen
cooled preamplifier, as well as a new high-stability
amplifier was incorporated to improve the energy resolution.
Also, pure cesium was used as a scatterer rather than the ;
cesium compounds which have been used in the past.
The purpose of this investigation was to analyze the
gamma rays resulting from excitation of Cs*"^ by the
inelastic scattering of 14 MeV neutrons and to determine
the relative intensity of each gamma ray.
CHAPTER BIBLIOGRAPHY
1. Arya, A. P., "Gamma-Gamma Directional Correlations in CS133," physical Review, CXXII (1961), 549.
2. Chien, J. P., and Smith, A. B., "Fast Neutron Scatter-ing from Beryllium, Sodium, and Aluminum," Nuclear Science and Engineering. XXVI (1966), 510.
3. Crasemann, B.. Pengra, J., Lindstrom, I. E., "Radiations from BaJ-33}M physical Review. CVIII (1957), 1500.
4. Davis, R. H., Divatia, A. S., Lind, D. A., and Moffat, R. D., "Coulomb Excitation of Elements of Medium and Heavy Mass," Physical Review. CIII (1956), 1801.
5. Dawson, H. R., "D-D and D-T Neutron Excitation of Energy Levels in t" unpublished master's thesis, Department of Physics, North Texas State University, Denton, Texas, 1961.
6. Fagg, L. W., "Coulomb Excitation of Sb, Cs, and Ba," Physical Review. CIX (1958), 100.
7. Lamb, B, L., "Gamma Rays from Neutron Excitation of Cs1JJ," unpublished master's thesis, Department of Physics, North Texas State University, Denton, Texas, 1959.
8. Mann, K. C., and Chaturvede, R. P., "The Decay of Ba133jn Canadian Journal of Physics. XLI (1963), 932.
9. McAnally, M. A., "Gamma Rays Resulting from the Neutron Scattering in Cesium," unpublished master's thesis, Department of Physics, North Texas State University, Denton, Texas, 1959.
10. McDonald, P. F. , "Gamma Rays from Cs -33 by inelastic Scattering of Neutrons," unpublished master's thesis, Department of Physics, North Texas State University, Denton, Texas, 1960.
11. Ramaswamv. M., Skeel, W., and Jastram, P., "Decay of Nuclear Physics. XVI (1960), 619.
12. Ramaswamy, M., Skeel, W. , and Jastram, P., "The Decay Energy of Bal33," Nuclear Physics. XIX (1960), 299.
13. Schectman, R. M., and Anderson, J. D., "Inelastic Scattering of ,14 MeV Neutrons," Nuclear Physics, LXXVII (1966), 241.
14. Stewart. M. G., and Lu, D. C. , "Nuclear Levels of Cs^33," Physical Review. CXVII (1960), 1044.
15. Subba Rao, B. N., "Internal Conversion Coefficient of the 81 KeV Transition in Cs^-33," Nuclear Physics. LXXXVI (1966), 443.
16. Temmer, G. M., and Heydenburg, N. P. , " Coulomb Excitation of Heavy and Medium-Heavy Elements by Alpha Particles." Physical Review, XCIII (1954). 351.
17. Temmer, G. M., and Heydenburg, N. P., "Coulomb Excitation of Medium-Weight Nuclei," Physical Review, CIV (1956), 967.
18. Thun, J. E., Tornkvist, S., Nielsen, K. B., Snellman, H., Falk, F., and Mocoroa, A., "Levels and Transitions in Cs^-33," Nuclear Physics. LXXXVIII (1966), 289.
19. Williams, G. H., and Morgan, I. L., "A Ge(Li) Gamma-Spectrometer for (n, n') Measurements," Nuclear Instruments and Methods. XLV (1966), 313.
20. Yin, L. I., and Wiedenbeck, M. L., "Gamma-Gamma Directional Correlation Measurements in the Decay of Bal33," Nuclear Physics. LIV (1964), 86.
21. Young, J. C., "Gamma Ray Response of a Csl (Tl) Crystal to 14 MeV Neutrons," unpublished master's thesis, Department of Physics, North Texas State University, Denton, Texas, 1958.
CHAPTER II
INSTRUMENTATION AND PROCEDURE
Several changes and modifications have been made in
instrumentation since the investigation by McAnally (3).
These improvements were specifically designed to improve
energy resolution and t<? reduce the effects of background
radiation. Some equipment was added to make existing
equipment function more effectively.
Initial investigations were made with the North Texas
State University 160 kV Cockcroft-Walton accelerator. Due
to high voltage arcing, poor focusing and low beam current,
the necessary statistics could not be obtained. In order
to improve upon these conditions, the High Voltage
Engineering, model PN-400 Van de Graaff generator (Figure 13)
at Southern Methodist University was used. Due to the
higher beam currents, the tritium target (Figure 14) was
water-cooled to carry off the heat that would have other-
wise driven the impregnated tritium from its titanium disc.
The target was electrically insulated so that the beam
current could be monitored by a microammeter.
A PL 5-100-50 H toroidal surface barrier detector
(Figure 1) was used to detect the alpha particles from the 4
D(t,n) He reaction. The signal from the alpha detector was
amplified and discriminated for use in coincidence counting
8
and neutron monitoring (Figure 2). Alpha counting was made
more reliable with the use of a seven-binary scaler which
produces a single pulse for every 128 pulses fed to it.
This pulse was in turn fed into a five-decade scaler which
was followed by another four-decade scaler.
The Tennelec model TC 130 preamplifier in the gamma
channel was modified so that its two low-noise, impedance-
matching FET transistors could be kept at a constant low
temperature and could be connected as close to the Ge(Li)
detector as possible, in order to minimize lead capacitance.
The power supply for the detector and preamplifier was
provided by a Tennelec model TG 907 variable bias voltage
supply.
Detection of gamma rays is accomplished with the use of
a lithium-drifted germanium detector (Type LG 4.0-5)
manufactured by Nuclear Diode, Inc. (Figure 15). This
newly designed solid state detector has the distinct advantage
of giving better resolution since approximately 3 eV of
energy is expended in producing an electron-ion pair as
compared to 32 eV of energy for a sodium iodide crystal (1,2).
However, due to the lower atomic number for germanium than
for iodine, the Ge(Li) detector has a smaller collecting
efficiency, which for the process of photoelectric
absorption goes as Z~*. Likewise, the photoelectric cross
section for germanium will decrease for increasing gamma
ray energy. Since this will appear to decrease the relative
intensities of the higher energy gamma peaks, corrections
must be made in the energy spectrum for this effect and for
self absorption within the cesium scatterer. The detector
consists of a pure germanium crystal that has been impregnated
with controlled amounts of lithium, and which has a reverse
bias applied across it. This process produces a uniform
depletion layer that extends practically throughout the
germanium crystal. Photoelectric absorption or scattering of
gamma rays within the detector produces high energy
electrons which dissipate their energy by creating free-
charge carriers. These carriers are swept from the detector
by the applied reverse bias voltage and amplified for
analyzation. As the applied bias voltage is increased, the
probability that the carriers will recombine before they are
swept out of the detector is reduced. However, leakage
currents through the detector are in turn increased which
produce a high noise level.
Since a Ge(Li) detector is no longer useful after
11 2 receiving a dosage of about 10 neutrons/cm , it is
protected from direct neutron radiation by a ten-inch,
six-degree copper shadowcone (Figure 4). However, little
can be done to reduce the number of scattered neutrons
entering the detector. To eliminate any activated copper
gamma rays, a 3/4-inch-thick piece of lead is placed behind
the copper cone. The cesium scatterer (O.D 4", I.D 2")
is rigidly attached to this end of the cone (Figure 15).
10
By carefully aligning the toroidal alpha detector, it is
possible to relate the cone of counted alpha particles
directly to only those neutrons which were incident on
the scatterer.
After proper preamplification, the signals from the
alpha detector and the signal from the Ge(Li) detector are
sent into separate Sturrup model 2801 linear amplifiers for
amplification and pulse shaping. From the amplifiers the
alpha signal and the gamma ray signal are sent into separate
Sturrup model 501 single-channel analyzers for noise
discrimination, time adjustment, and additional pulse shaping,
The output of the coincidnece analyzer is first fed into a
delayed monostable multivibrator with variable pulse-width
control (Figure 3) and then into the coincidence input of a
model ND-150 M Nuclear Data 1024-channel dual-parameter
analyzer. The 0.6 microsecond delay in conjunction with
the variable delays of the single-channel analyzers are used
to allow for a two-microsecond time delay in the analyzer
circuitry. The second channel of the Ge(Li) preamplifier
is sent into a Tennelec model TG 200 amplifier with controls
for signal amplification, differentation, and integration
to enhance optimum resolution from the multichannel analyzer.
This signal is sent into the multichannel analyzer, where
it is gated by the alpha-gamma coincidence pulse before
being analyzed. The entire 1024 channels of the analyzer
are used for locating gamma ray peaks of cesium.
11
The scatterer was prepared by pouring 200 grams of
molten cesium into a thin-walled toroidal aluminum can
under an argon atmosphere. In order to provide an air tight
seal, it was covered with a layer of paraffin which kept
the cesium evenly distributed. In order to correct for
neutrons scattered into the Ge(Li) detector by the scatterer,
a similar aluminum scatterer was filled with an equal amount
of paraffin and a graphite ring. Graphite was used because
it scatters neutrons into the detector, as cesium does,
without producing any gamma rays below 4.43 MeV. The
background spectra were taken for the same number of alpha
particle counts as for the corresponding cesium spectrum.
Taking into account the difference in density and neutron
scattering cross section for cesium and graphite, the
graphite scattering can was irradiated for 37 percent of the
initial number of alpha particle counts and a similar empty
scattering can for the remaining 63 percent. Accidental
spectra were taken for the cesium, carbon, and empty
scattering cans by delaying the alpha particle pulse so that
it would be out of coincidence with the gamma ray pulse. *
Each additional spectrum was normalized to the alpha
particle count of the original spectrum and subtracted from
it.
At the present time, the only means by which the
analyzer will record data is with the IBM typewriter. Punch
cards were made from this data to be used in conjunction with
12
an IBM computer, model 1620. Computer programming for
background subtraction was performed by George Pepper.
The results were then printed out for hand plotting.
To optimize energy resolution over the five-MeV energy
range under investigation, two sets of spectra were taken.
The first set pertained to energies from 0.1 to 0.5 MeV,
since this was the most likely energy region for gamma ray
emission. The second set had energy ranges from 0.5 to
5.0 MeV to investigate the existence of gamma rays above
0.7 MeV (3). Each set of spectra contained a cesium
spectrum and background spectra using carbon and empty-can
scatterers under similar conditions.
In the 0.1 MeV cesium spectrum, a total of 4.03 billion
alpha particles was registered in 26 hours. The 0.5 to
5.0 MeV cesium spectrum required a total of 6.1 billion
alpha particles in a twenty-hour period. Necessarily, a
corresponding alpha particle count was taken for both
background spectra. Since each alpha particle that was
counted represents one neutron striking the cesium scatterer,
a one-to-one correspondence could be made between the two
particles.
In calculating relative intensity, self absorption
within the cesium scatterer must be taken into account.
Since the cesium gamma rays have an equal probability of
going off in any direction, only a fraction of the total
gamma rays can be detected. However, this probability will
13
be approximately a constant for any cesium nucleus and
should not alter the relative intensities of the gamma
rays. The intensity of each gamma ray must be adjusted
according to its energy for self absorption and detector
collecting efficiency.
3 3 57 Sources used for energy calibrations were Ba , Go ,
_ 60 _ 137 , 22 . , ,
Co , Cs , and Na . Using standard sources, an energy
resolution of 6.0 keV was obtained with the Ge(Li) detector.
CHAPTER BIBLIOGRAPHY
1. Hollander, J. M., "The Impact of Semiconductor Detectors on Gamma Ray and Electron Spectroscopy," Nuclear Instruments and Methods. XLIII (1966), 65.
2. Mayer, J. W., "Semiconductor Detectors for Nuclear Spectrometry," Nuclear Instruments and Methods, XLIII (1966), 5T.
3. McAnally, M. A., "Gamma Rays Resulting from the Neutron Scattering in Cesium," unpublished master's thesis, Department of Physics, North Texas State University, Denton, Texas, 1959.
14
CHAPTER III
RESULTS AND CONCLUSIONS
Representative cesium spectra obtained from this
experiment are shown in Figures 5, 6, 7, 8, and 9.
Exponentially decreasing counts of 12,000 to 400 for the
0 to 0.5 MeV spectrum (Figure 5) produced statistical errors
of 0.9 percent to 5 percent. Similar results were observed
in the 0.5 to 5 MeV spectrum (Figure 6). Following
subtraction of the carbon background spectrum (Figure 7),
the empty-can spectrum (Figure 8), and accidental spectra,
these two spectra were combined to produce the cesium
spectrum shown in Figure 9. Statistical errors for this
spectrum ranged from 1.6 percent to 15 percent. In the case
of the cesium scatterers, the ratio of the true to accidental
coincidences was approximately four to one. However, the
accidental spectrum showed no outstanding features.
From the gamma ray spectra shown, it was evident that
only three peaks were prominent. All three of these peaks
are attributed to the background since they were found in
the cesium spectrum as well as in the background spectra.
Likewise, the peak heights were directly related to the
time of neutron irradiation. The first peak at 0.51 MeV
was apparently the result of positron annihilation in
surrounding materials. The second peak at 0.69 MeV was
15
16
assigned to the (n,n') reaction of germanium. The third
peak was predominantly the 0.85 HeV gamma ray from the
(n,n*) reaction of germanium.
Unfortunately, these peaks were not removed completely
when the background spectra were subtracted. The primary
reason for insufficient background removal was the
activation of the 4.43 MeV peak of carbon and its subsequent
escape peaks. These peaks enhanced the background count
at the higher energies at the expense of the lower energies.
Another factor was the inelastic scattering of neutrons by
carbon rather than elastic scattering. Apparently, these
two effects caused the background compensation to be a
little less than it should have been, as witnessed by the
three peaks. It turns out that this error does not affect
the analysis very much since the analysis depended on the
slope of the cesium pulse height spectrum rather than its
magnitude.
Apparently, within the excitation range of 14 MeV
133
neutrons on Gs , there are a great many energy levels.
Hence, there are so many gamma rays excited that they cannot
be resolved even with a Ge(Li) detector. This is not too
surprising a result as it is known that in the region of Cs13^
and with 14 MeV of excitation energy, one would expect
nuclei with many closely spaced levels. A great many levels
might be excited making available a large number of decay
paths. This experiment, however, definitely establishes that
17
there are gamma rays from cesium, and one can make an esti-
mate of their yield in the energy range between 0.2 and
2.7 MeV. The lower energy limit was set by the dead layer
in the Ge(Li) detector as well as self absorption in the
scatterer and rising background. The upper limit is set by
insufficient knowledge of the gamma rays from carbon which
would have both primary and escape peaks in the 3.4 MeV
region and above. This yield was expressed in terms of a
differential excitation probability
o-(E) = Y(E) / N <J> T
where Y(E) was the differential gamma ray yield Ay/fiE, y was
the gamma ray yield, N was the number of nuclei per cubic
centimeter in cesium, (j) was the neutron flux,1 and T was
the thickness of the cesium scatterer. Since the yield and
the flux were taken over the same area and for the same
period of time, only the total counts of each were required.
However, several corrections had to be made to achieve a
true yield.
It was found experimentally that the average count rate
of a gamma ray source from the maximum and minimum angles
which could be subtended from the Ge(Li) detector to the
cesium scatterer was a good approximation to the count rate
of a source whose angle subtended through the centroid of
the cesium scatterer. Because of the six-degree angle of
the incident neutrons, the activated cesium was in the shape
of a parallelogram.
18
Another correction had to be made for self absorption
in the cesium (Figure 10). Weighted-mean values for dis-
tances a particular energy gamma ray had to travel in the
cesium to reach the Ge(Li) detector were calculated (Table I).
These distances were calculated from the photoelectric,
Compton, and pair production cross sections in cesium.
Since the Compton scattering cross section for germanium
is much greater than the photoelectric cross section and
there are no resolved photoelectric peaks in cesium, a
composite spectrum (Figure 11) of the Compton edges of known
intensity gamma ray sources was taken for comparison. The
pulse height spectrum of each gamma ray was approximated to
a constant value from zero energy up to the energy of the
Compton edge and a count of zero in channels above that
energy. This provided a means for translating the differen-
tial of the multichannel spectra into a gamma ray yield for
cesium as a function of energy (Table II). An advantage of
this method was that the detector efficiency for various
energy gamma rays was already incorporated in the composite
spectrum. However, the highest energy source available
was the 2.56 MeV gamma ray of thorium, which set another
limit on the high energy end of the composite spectrum.
In determining the composite spectrum, standard sources
were placed a fixed distance from the detector along a line
through the center of one of the rectangular cross sections
in the cesium toroid. An inverse-square correction had to
19
be made for the differences between this position of
standard sources and the weighted-mean distance of the
emitter atoms in cesium. Ratios of detected intensity to
initial intensities in cesium were calculated from the
inverse exponential of the absorption coefficients and
weighted-mean distances. In producing a true yield, the
ratio of the cesium count differential per 5 keV to the
composite spectrum yield for the same energy was multiplied
6
by a standard of 1.95 X 10 disintegrations and was then
divided by the appropriate radial and absorption corrections.
Differences in energy between a photoelectric peak and its
Compton edge were noted in Table II.
After all corrections were completed, the excitation
probabilities per 5 keV in cesium were found (Figure 12).
Values ranged from 1.38 millibarns at 0.22 MeV to 0.37
millibarns at 2f5 MeV. Correction factors were chiefly
responsible for the small hump near 1.3 MeV. At this
energy range the composite peak began to flatten while the
absorption coefficients began to plateau. From the inherent
statistical and experimental errors of this investigation,
credible error values could be made ranging from 10 percent
at the 0.2 MeV level up to 20 percent at the 2.5 MeV level.
Previous investigations have been severely hampered by
high background counts and cesium compounds as scatterers.
The subtraction process involved would produce spurious
peaks. It was hoped that the improvements in resolution and
20
detection techniques in this investigation could resolve
the gamma rays from cesium. Even though the efficiency of
the system was high enough to resolve gamma ray peaks in
the background, it evidently was not enough to resolve the
closely spaced energy levels of cesium. In order to achieve
any significant improvement in efficiency and backgroung
reduction, vast modifications of equipment and facilities
would have to be made.
TABLE I
RADIAL AND ABSORPTION CORRECTIONS
-uR ( R N2
E u R uR e R V R 7 C(R,u)
.102 3 3 . 2 . 0301 1 . 0 0 .368 2 . 5 3 . 399 .147
. 2 0 4 3 . 6 2 . 269 . 973 .378 2 . 7 7 .478 . 181
. 2 5 5 1 . 9 5 . 461 . 90 .406 2 . 9 6 .547 .222
.307 1 . 3 1 . 4 9 4 .646 . 525 2 . 9 9 . 588 . 2 9 3
. 358 1 . 1 2 .581 . 603 .546 3 . 0 8 . 591 .322
. 460 .672 .617 . 414 . 661 3 . 1 2 . 6 0 5 . 4 0 0
. 511 .607 . 630 .382 .681 3 . 1 3 .612 .417
.767 . 451 .652 . 294 . 744 3 . 1 5 . 618 . 459
1 . 0 2 .378 . 6 6 1 . 250 .779 3 . 1 6 .622 . 484
1 . 2 8 . 3 3 0 . 6 7 0 .221 . 801 3 . 1 7 . 6 2 5 . 501
1 . 5 3 . 311 .682 .212 .811 3 . 1 8 . 6 3 0 .512
1 . 7 9 . 2 8 8 . 6 8 8 . 198 .820 3 . 1 9 . 6 3 3 . 519
2 . 0 4 .272 .687 .188 .829 3 . 1 9 . 6 3 3 . 5 2 4
2 . 3 0 . 268 .686 . 184 .831 3 . 1 8 . 630 . 5 2 5
2 . 5 5 ———__
. 2 6 5 . 6 8 5 .182 . 8 3 3 3 . 1 8 . 630 . 526
TABLE II
DIFFERENTIAL EXCITATION PROBABILITIES
E (MeV)
Ec (MeV) Ay/AX y
1 *4 (X10*)
1 4 (X10*)
<r(E) (mb)
. 220 .10 4 8 . 8 3900 3 . 5 7 1 2 . 4 1 . 3 8
.260 . 150 4 1 . 6 2400 3 . 7 1 1 1 . 5 0 1 . 3 0
. 410 .250 3 4 . 5 2000 3 . 4 9 8 . 7 3 .986
. 5 7 0 . 3 5 0 2 7 . 4 1600 3 . 2 2 7 . 4 1 .838
.792 . 572 1 6 . 5 1140 2 . 8 2 5 . 9 7 . 676
. 8 6 8 .638 1 1 . 8 850 2 . 7 1 5 . 5 5 .627
1 . 0 2 7 .797 7 . 6 585 2 . 5 4 5 . 2 6 . 594
1 . 1 5 . 921 6 . 1 463 2 . 4 8 5 . 0 3 .569
1 . 3 1 1 . 0 8 4 . 2 340 2 . 4 1 4 . 8 1 . 5 4 3
1 . 4 0 1 . 1 7 3 . 1 267 2 . 2 9 4 . 5 7 .516
1 . 5 6 1 . 3 3 1 . 9 175 2 . 1 7 4 . 2 3 .478
1 . 7 5 1 . 5 3 1 . 6 155 1 . 9 8 3 . 9 4 . 4 4 5
2 . 1 4 1 . 9 1 1 . 2 125 1 . 8 7 3 . 6 0 .407
2 . 3 1 2 . 0 7 . 9 100 1 . 7 8 3 . 3 9 . 3 8 3
2 . 5 3 2 . 3 0 . 8 90 1 . 7 4 3 . 3 1 . 3 7 4
2 . 7 5 2 . 5 2 .7 80 1 . 7 1 3 . 2 5 . 368
22
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BIBLIOGRAPHY
Articles
Arya, At_P., "Gamma-Gamma Directional Correlations in Gsljjj" physical Review. CXXII (1961), 549.
Chien, J. P., and Smith, A. B., "Fast Neutron Scattering from Beryllium, Sodium, and Aluminum," Nuclear Science and Engineering. XXVI (1966), 510.
Crasemann, B.^.Pengra, J., Lindstrom, I. E., "Radiations from Ba1JJ," Physical Review. CVIII (1957), 1500.
Davis, R. H., Divatia, A. S., Lind, D. A., and Moffat, R. D., "Coulomb Excitation of Elements of Medium and Heavy Mass," Physical Review. CIII (1956), 1801.
Fagg, L. W., "Coulomb Excitation of Sb, Cs, and Ba," Physical Review. CIX (1958), 100.
Hollander, J. M., "The Impact of Semiconductor Detectors on Gamma Ray and Electron Spectroscopy," Nuclear Instruments and Methods. XLIII (1966), 65.
133 Mann, K. C., and Chaturvede, R. P., "The Decay of Ba ,"
Canadian Journal of Physics. XLI (1963), 932.
Mayer, J. W., "Semiconductor Detectors for Nuclear Spectrometry," Nuclear Instruments and Methods. XLIII (1966), 55.
133 Ramaswamy, M., Skeel, W., and Jastram, P., "Decay of Ba ,"
Nuclear Physics. XVI (1960), 619.
Ramaswamy,, M,, Skeel, W., and Jastram, P., "The Decay Energy of B a X J V ' Nuclear Physics. XIX (I960), 299.
Shectman, R. M., and Anderson, J. D., "Inelastic Scattering of 14 MeV Neutrons," Nuclear Physics. LXXVII (1966), 241.
Stewart, M. G., and Lu, D. C., "Nuclear Levels of Cs*^," Physical Review. CXVII (1960), 1044.
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39
Subba Rao, B. N., "Internal Conversion Coefficient of the 81 Kev Transition in Csl33," Nuclear Physics, LXXXVI (1966), 443. "
Temmer, G. M., and Heydenburg, N. P., "Coulomb Excitation of Heavy and Medium-Heavy Elements by Alpha Particles," Physical Review. XCIII (1954), 351.
Temmer, G. M., and Heydenburg, N. P., "Coulomb Excitation of^Medium-Weight Nuclei," Physical Review, CIV (1956),
Thun, J. E., Tornkvist, S., Nielsen, K. B., Snellman, H., Falk. F., and Mocoroa, A., "Levels and Transitions in Cs133," Nuclear Physics. LXXXVIII (1966), 289.
Williams, G. H., and Morgan, I. L., "Ge (Li) Gamma-Spectrometer for (n,n*) Measurements," Nuclear Instruments and Methods. XLV (1966), 3lTI
Yin, L. I., and Wiedenbeck, M. L., "Gamma-Gamma Directional Correlation Measurements in the Decay of Bal33 » Nuclear Physics. LIV (1964), 86.
Unpublished Materials
Dawson, H. R., "D-D and D-T Neutron Excitation of Energy Levels in Cs^-33," unpublished master's thesis, Department of Physics, North Texas State University, Denton, Texas, 1961.
$
Lamb, B. L., "Gamma Rays from Neutron Excitation of Csl-33 " unpublished master's thesis, Department of Physics, North Texas State University, Denton, Texas, 1959.
McAnally, M. A., "Gamma Rays Resulting from the Neutron Scattering in Cesium," unpublished master's thesis, Department of Physics, North Texas State University, Denton, Texas, 1959.
McDonald, P. F., "Gamma Rays from Cs^-33 by Inelastic Scattering of Neutrons," unpublished master's thesis, Department of Physics, North Texas State University, Denton, Texas, 1960.
Young, J. C., "Gamma Ray Response of Csl (Tl) Crystal to 14 Mev Neutrons," unpublished master's thesis, Department of Physics, North Texas State University, Denton, Texas, 3L 9 58 •