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Makio Ohkubo, Yutaka Nakajima, Akira Asami, Toyojiro Fuketa
1972 Volume 33 Issue 5 Pages
1185-1196
Published: November 05, 1972
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The total neutron cross section of natural antimony has been measured by the transmission method using the time-of-flight spectrometer of the JAERI linear accelerator with the maximum time resolution of 10 nsec/m. The resonance energies of about 100 levels below 1400 eV have been determined. The neutron widths of 47 levels below about 400 eV and the total widths of 11 levels out of those 47 levels have been obtained by the area analysis and the thick-thin method. The isotope assignments of resonances by others are utilized in the analyses. The average level spacings and the strength functions for the energy region below 350 eV are obtained to be 〈
D〉=7.5±0.5 eV and
S=(0.26±0.06)×10
−4 for natural Sb, 〈
D〉=11±1 eV and
S0=(0.23±0.07)×10
−4 for
121Sb, and 〈
D〉=25±3 eV and
S0=(0.28±0.1)×10
−4 for
123Sb, respectively.
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P. R. Blake, H. Ferguson, W. F. Nash
1972 Volume 33 Issue 5 Pages
1197-1206
Published: November 05, 1972
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The Haverah Park Array detects Extensive Air Showers which are produced by primary particles with energies greater than 10
17 eV. The whole project, which is a collaboration between four British Universities, is to determine the mass composition and sources of these cosmic rays. This paper is concerned with the study of muons in large showers, carried out by the Nottingham group.
The investigation uses three multilayer flash tube muon detectors of area 12 m
2. The mean muon density is determined as a function of shower size, core distance and zenith angle and compared with model calculations. The relative response of muon and Cerenkov detectors has also been compared with the results of model calculations. This is a more sensitive parameter and it is found that only three types of models are in reasonable agreement with experimental date.
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J. Behari, B. B. Tripathi
1972 Volume 33 Issue 5 Pages
1207-1213
Published: November 05, 1972
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A modified angular force model which takes into account the effect of the presence of conduction electrons on the lattice vibrations on the basis of Sharma and Joshi model along with the ion-ion central (upto third neighbour) and deLaunay type angular interaction (upto second neighbour) is considered. The three BCC transition metals viz. Alpha Iron, Molybdenum and Tungesten have been investigated. A calculation for phonon dispersion relations, Debye θ and Debye-Waller factor reveals a good agreement with the experimental data (wherever available) in all the cases.
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K. Singh, R. S. Srivastava
1972 Volume 33 Issue 5 Pages
1214-1217
Published: November 05, 1972
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Phonon frequencies, thermal expansion coefficient and Grüneisen parameters are calculated from the dispersion relation derived by Toya for bcc lithium. Improved correlation term derived by Sham on the basis of Thomas-Fermi approach has been incorporated. The phonon frequencies are in good qualitative agreement with the experiment. Lattice specific heats, thermal expansion coefficient and γ
M- the mean value of Grüneisen parameters at different temperatures have been calculated by this method and are presented in this paper. The results obtained show that the correlation term is an essential feature of realistic calculations.
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Takeshi Kobayashi, Kazuo Fujisawa
1972 Volume 33 Issue 5 Pages
1218-1229
Published: November 05, 1972
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The properties of carrier-waves in semiconductors are investigated. The linearized Boltzmann equation involving the dc electric field and the collision term is solved for spatial problems in which the complex wave number
k is sought for a given frequency ω. The collision term is contrived to be applicable to semiconductors including the lattice scatterings and the electron-electron collisions. The detailed calculation is carried out for the case of dominant lattice scatterings. The unperturbed velocity distribution of carriers is assumed to be a drifted-Maxwellian.
Even for spatial problems, carrier-waves can be described approximately in terms of plane waves exp(
ikx−
iω
t) only if the collision frequency ν>ω. If ν<50ω
ρ, the effects of the carrier velocity distribution involving the Landau damping appear explicitly in the usual frequency range, where ω
ρ is the plasma frequency. The effect of the dc field acceleration results in increasing the attenuation of the carrier-waves.
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Koichiro Matsuno
1972 Volume 33 Issue 5 Pages
1230-1234
Published: November 05, 1972
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Hydrodynamics is developed in the critical region of phase transition by noticing that the effect of spontaneous symmetry breaking must fully be taken into account there, where the symmetry breaking appearing locally above the critical temperature
Tc increases its both coherence length and life time to infinity as temperature
T approaches
Tc. It is predicted that an energy density wave will finally be observed as we approach arbitrarily close to
Tc from above.
In magnets, only the diffusive excitation of local magnetization is expected if the observation takes place during a finite time which is much larger than the life time τ
SB of the local symmetry breaking above
Tc. This situation of observation cannot be realized in the limit
T→
Tc since the life time τ
SB diverges in the same limit. On the other hand, if the time needed for the observation is less than the life time τ
SB specifically in the critical region, the alternative hydrodynamic excitation to be observed is an energy density wave.
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Toshiyuki Ninomiya
1972 Volume 33 Issue 5 Pages
1235-1239
Published: November 05, 1972
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A theory of dislocation motion in a two-dimensional lattice is developed by introducing the dislocation coordinates which describe collective motion of atoms in the dislocation core. Because the displacements of atoms are dependent on dislocation path, the dislocation coordinates are quasi-coordinates. The equation of motions for the dislocation are obtained from those for individual atoms. Lagrangian formalism is also discussed. A usual form of Lagrange’s equation of motion is shown to contain a spurious term, which corresponds to a so-called Lorentz force.
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Hitoshi Sumi
1972 Volume 33 Issue 5 Pages
1240-1247
Published: November 05, 1972
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The Hall effect of the acoustic polaron is theoretically classified into four types according to the strength of electron-phonon coupling. The first type for the weak coupling corresponds to the band conduction of large polarons. In the second type, although the small polaron is energetically stable, thermally populated large polarons play dominant role in the drift and Hall conductions. In the third type, the drift conduction is determined by the thermally activated hopping of small polarons while the Hall conduction is still due to thermally populated large polarons. In the last type for the strong coupling, the Hall conduction is also determined by the small polaron hopping. Except in the first type where the Hall to drift mobility ratio is a constant of order unity, the ratio is large compared with unity, with significant temperature dependence. The type change with increasing coupling is described in a unified treatment for polarons.
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A. D. Jannussis, P. T. Ktenas, H. N. Ioannidou
1972 Volume 33 Issue 5 Pages
1248-1257
Published: November 05, 1972
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The eigenfunctions and eigenvalues of a lattice electron in a uniform magnetic field are determined according to Harper’s formalism. The probability density of the free-electron has been found, and the number of the energy levels which are accumulated into a Landau level is determined. Eigenvalues are calculated to the second-order perturbation from the solution of the recursive equation. The method of nearly-free electron is justified in a way that permits the application of the effective-mass concept.
Finally, the energy eigenstates for the cos2π(
y⁄
a) potential are studied and qualitative comparison to the experimental results is presented.
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Eijiro Haga, Syozo Maeda
1972 Volume 33 Issue 5 Pages
1258-1266
Published: November 05, 1972
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In the free electron model the spin-lattice relaxation time
T1(orb) due to the interaction with the orbital motion of conduction electrons diverges if the nuclear Zeeman energy is neglected. Without neglecting it,
T1(orb) with the field dependence of a form log(
Hext) is derived for high magnetic fields. The divergence which arises for
Hext=0 is removed by taking into account the dipole interaction between nuclear spins.
The effect of the electron correlation at high fields is examined by use of the RPA approximation. The Hubbard approximation for the exchange interaction has no effect. Therefore, by use of a reasonable approximation, the result that (
T1(orb))
−1 increases in the presence of the exchange interaction is found. It is seen that the enhancement is small compared with the one for the spin paramagnetism.
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Shou-yih Wang
1972 Volume 33 Issue 5 Pages
1267-1272
Published: November 05, 1972
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The effects on phonon instability due to the spin and anisotropy of effective masses of electrons and holes which follow ellipsoidal-parabolic energy-momentum relations are studied. The anisotropic and spin effects of these charge carriers would exhibit themselves as particularly shaped forms of the phonon changing rate against the alternate bands of the magnetic field so that the feature may be used as a new method of determining relevant spin and orbital effective masses with possibly very high precision. Holes although contributing constructively to the current of electrons are found tending to annihilate the phonons which electrons tend to create. Brief discussions are also given to the situations of observing phonon instability in semimetals and semi-conductors.
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Ki-ichi Nakamura
1972 Volume 33 Issue 5 Pages
1273-1283
Published: November 05, 1972
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A study is made of frequency mixing effect of phonon interactions of acoustoelectric origin using the self-consistent-field method. The equation of motion of the lattice is transformed into a simple form which becomes identical with the dynamic equation for the wave amplitude in the theory of plasma turbulence. A nonlinear dispersion relation is derived from the dynamic equation. The spectral evolution of amplified acoustic flux is calculated in the high frequency limit by using the dispersion relation. The spectrum varies strongly with propagation direction of the acoustic wave. For the collinear coupling, the growth rate is enhanced in the low frequency region and is suppressed in the high frequency region. For the resonant off-axial coupling, the spectrum becomes broader on both sides of low and high frequencies, and has a peak in the high frequency region, in contrast to results in the low frequency limit.
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Kunio Saiki
1972 Volume 33 Issue 5 Pages
1284-1291
Published: November 05, 1972
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The magnetic property of the crystal KMnF
3 was studied by the electron spin resonance method using several microwave frequencies. As the temperature was reduced from the Néel temperature of 88.3 K the resonance points shifted toward the low field. These lines, however, disappeared below 81.5 K and the other lines appeared. The field induced canted phase in the intermediate-temperature range is different from the low-temperature canted phase. Though the angular dependence of the spectra at 82.5 K observed by using the lowest frequency can be explained by the simple uniaxial antiferromagnetic resonance theory, the results at 24 GHz can not be explained by this theory. Tentatively, they are compared with the theory which assumes an antisymmetric exchange interaction with the Dzyaloshinsky-Moriya vector parallel to the easy axis. The agreement between the experiment and the theory seems to be fairly good.
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Kazuyuki Yamaguchi, Hisao Yamamoto, Yasuo Yamaguchi, Hiroshi Watanabe
1972 Volume 33 Issue 5 Pages
1292-1295
Published: November 05, 1972
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Fe
1+δSb (0.08≤δ≤0.38) crystallizes in the NiAs structure, and the excess Fe atoms occupy the interstitial positions. The Mössbauer effect measurements show that at liquid nitrogen temperature and below, an antiferromagnetic order sets in, and the internal magnetic field at liquid helium temperature amounts to 106 kOe. The Néel temperature, however, is not discernible in the susceptibility measurements. The susceptibility shows a maximum at around 20 K, whose origin is supposed to be due to spin ordering of excess Fe atoms.
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Masanori Abe, Masao Kawachi, Shoichiro Nomura
1972 Volume 33 Issue 5 Pages
1296-1302
Published: November 05, 1972
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Stoichiometric sample of Fe
2MoO
4 was prepared in a controlled atmosphere of CO
2–H
2 mixed gas at 1140°C (log
Po2-
Po2∼−12.5). The crystal structure and the cation distribution were determined from, X-ray and neutron diffraction measurements on the powdered samples. Fe
2MoO
4 is a completely inverse spinel; the parameters are given as
a=8.509 Å and
u=0.383±0.003. The compound shows a week spontaneous magnetization (0.15∼0.2 μ
B/mol) below 348 K (Néel point), and the spontaneous magnetization changes sign at about 160 K (compensation point).
The magnetic structure was determined to be Néel type like Fe
2+(4\overrightarrowμ
B) [Fe
2+(4\overleftarrowμ
B)Mo
4+(0μ
B)]0
4, where (4d)
2 electrons of Mo
4+ ion are in low spin state, and the origin of the weak spontaneous magnetization is attributed to the uncompensation and/or canting of spins of Fe
2+ ions on the A and B sites of the spinel lattice.
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Akira Ohsawa, Yasuo Yamaguchi, Noriaki Kazama, Hiroshi Yamauchi, Hiros ...
1972 Volume 33 Issue 5 Pages
1303-1307
Published: November 05, 1972
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The temperature dependence of the direction of the easy axis of magnetization in the ferromagnetic compound Cr
1−xTe (
x=0.077,
Tc=342 K) is determined by single crystal magnetic and neutron diffraction measurements in the temperature range from 80 K to 350 K. Below about 200 K the spin direction lies in the
c-plane, but with the rise of temperature it stands up gradually towards the
c-axis. At 293 K the spin lies in a direction intermediary between
c-axis and
c-plane. The result is not in accord with Hirone
et al.’s according to which the anisotropy axis lies along the
c-axis all the way from liquid helium temperature to room temperature. The discrepancy is attributed to the difference in
x between their sample and ours.
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Yoshiyuki Watanabe, Shozo Saito, Susumu Takemoto
1972 Volume 33 Issue 5 Pages
1308-1311
Published: November 05, 1972
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Resonance experiments at 9.3 GHz have been performed for cylindrical rods of manganese-zinc ferrite of low resistivity (∼0.3
Ω cm at 300 K), with dc magnetic field parallel to their axis. For an appropriate value of rod radius, the surface and volume type resonant modes are excited in different dc magnetic fields on the same sample and at the same temperature, resulting in two distinct peaks on the absorption curve. The results make it clearer how the skin depth affects the anomalies in the resonance properties of electrically conductive manganese ferrites. The description is made in connection with the results reported previously for spherical samples.
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Mikio Takano
1972 Volume 33 Issue 5 Pages
1312-1317
Published: November 05, 1972
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A susceptibility measurement on [Fe
3O(CH
3COO)
6(H
2O)
3]Cl·6H
2O at temperatures between 4.2 K and 1.3 K shows that the triangular Fe
3+-clusters have spin 1/2 in the ground state owing to strong antiferromagnetic intracluster interactions. The Mössbauer spectrum of this salt in the external field of 50 kOe at 1.5 K consists of three sets of magnetically split patterns with the effective fields of 210 kOe, 175 kOe and 80 kOe, respectively. The spectrum from the (Cr
2Fe)-clusters in the isomorphous Cr-salt with Fe
57 substituting for Cr
3+ ions up to 2% has a single pattern with the effective field of 235 kOe. It is shown that antiferromagnetic intracluster interactions cause the constituent Fe
3+ (and Cr
3+) ions to have small positive or negative spin components along the large polarizing field. The three interactions in an Fe-cluster are not equivalent to each other. For a (Cr
2Fe)-cluster, the Fe
3+-Cr
3+ interactions are stronger than the Cr
3+-Cr
3+ one.
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Nobuo Kawamiya, Kengo Adachi, Yoji Nakamura
1972 Volume 33 Issue 5 Pages
1318-1327
Published: November 05, 1972
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The lattice parameters of the α-phase (disordered bcc), the metastable α″-phase (Fe
3Al type) and the stable β-phase (Cu
3Au type) in the Fe–Ga system containing 15∼30% Ga were determined and a phase diagram is proposed according to X-ray and magnetic measurements. The magnetic properties of these phases were investigated between 4.2 K and 1100 K. The magnetic moment per Fe atom was found to be 2.05±0.06μ
B and 2.39±0.06μ
B for the ordered bcc and the ordered fcc Fe
3Ga respectively. Mössbauer measurements on the α″ and β phases were carried out and the internal fields were estimated to be 274 kOe for the fcc Fe
3Ga and 230 and 360 kOe for the A and D sites respectively of the bcc Fe
3Al-type Fe
3Ga. Large quadrupole interactions were found in the fcc Fe
3Ga and its spin direction is suggested to be along 〈100〉. Some discussions are given in the last section.
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Kenzo Shibata, Takeshi Shinohara, Hiroshi Watanabe
1972 Volume 33 Issue 5 Pages
1328-1333
Published: November 05, 1972
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A study of the zero-field nuclear magnetic resonance of Mn
55 and Al
27 in the ferromagnetic compound MnAlGe has been made. The hyperfine fields of Mn
55 and Al
27 nuclei extrapolated to 0 K are 177.4 kOe and 52.6 kOe respectively.
Within the limits of non-interacting spin wave approximation, the intralayer and inter-layer exchange constants,
J1 and
J2, respectively, are estimated from the temperature dependence of the resonance frequency of Mn
55 nuclei. The results are
J1=163±3 K and
J2=17±1 K, respectively. The difference in the temperature dependence of the normalized NMR frequency between Mn
55 and Al
27 nuclei has been observed.
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Isao Yamada, Manabu Ikebe
1972 Volume 33 Issue 5 Pages
1334-1340
Published: November 05, 1972
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The temperature dependence of the ESR line widths of newly found two-dimensional ferromagnet K
2CuF
4 (which has the K
2NiF
4 type crystal structure and
Tc=6.25 K) has been observed at various frequencies. When the temperature is lowered from room temperature, the gradual narrowing of the line width occurs at first, reaching a minimum value at the temperature of several times as large as
Tc, and then it grows up and makes a peak near
Tc. Below the temperature where the peak appears, steep narrowing of the line width occurs with further decreasing temperature. At high temperatures, peculiar angular dependence of the line widths is observed in the
ac-plane. This angular dependence has been explained by taking account of the effect of the anisotropic exchange interaction besides the magnetic dipolar broadening effect.
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Takasu Hashimoto, Ikuro Ichitsubo
1972 Volume 33 Issue 5 Pages
1341-1347
Published: November 05, 1972
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The high frequency magnetic susceptibilities in yttrium iron garnet are observed in the temperature range from 546 K and 553 K in the high frequency range from 100 kHz to 100 MHz and the low frequency range lower than 100 Hz. The anomalous sharp peak appears in the temperature dependence curves of the imaginary part of the magnetic susceptibility in MHz range and is broadened with increasing frequency. From frequency dependence of the magnetic susceptibilities it is made clear that the relaxation of spin system occurs in the above two frequency ranges and relaxation process near the Curie temperature is not monodispersive but polydispersive. The temperature dependence of the relaxation time in spin system is obtained near the Curie temperature and is corresponding with the critical slowing down phenomena.
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Yutaka Nakai
1972 Volume 33 Issue 5 Pages
1348-1349
Published: November 05, 1972
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As the nearly equiatomic Cr–Mn alloy has zero mean coherent nuclear scattering amplitude, paramagnetic diffuse scattering could be easily extracted by the temperature difference method. The observed cross-section of paramagnetic scattering in the Cr–Mn alloy is compatible with the calculated one based on the localized moment model.
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Yuichiro Murakami
1972 Volume 33 Issue 5 Pages
1350-1360
Published: November 05, 1972
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The β-Au
xCu
1−xZn alloys transform martensitically from a Heusler-type ordered structure (b. c. c.) into an orthorhombic crystal at lower temperatures. The phase stability associated with the transformation was investigated by an examination of the elastic constants in the Heusler phase. The shear constant (
C11−
C12)/2 approaches zero near the martensite temperature, and its temperature coefficient is positive in the region above martensite temperature. Thus the transformation in these alloys proved itself to be deeply connected with a lattice softening and the elastic anisotropy. The free energy difference between the Heusler and the martensite phases mainly comes from the change in vibrational entropy, which can explain the thermoelastic property of the transformation.
Pseudoelastic properties including ferroelasticity and the memory effect of these alloys were also investigated from their strain-stress diagrams. The properties have a close relation to the large elastic anisotropy and the lattice softening.
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Masao Kodama, Shinroku Saito, Shigeru Minomura
1972 Volume 33 Issue 5 Pages
1361-1371
Published: November 05, 1972
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The adiabatic second-order elastic constants of TlCl and their pressure derivatives have been measured by means of the ultrasonic pulse echo method at room temperature in the pressure range up to 4,000 bar. The adiabatic second-order elastic constants, in units of 10
11 dyn/cm
2, are:
C11S=4.015±0.002,
C12S=1.537±0.002,
C44=0.7843±0.0004, and their pressure derivatives are: d
C11S⁄d
P=7.14±0.05, d
C12S⁄d
P=6.47±0.10, d
C44⁄d
P=2.54±0.05. The present results allow us to determine three linear combinations of the six independent third-order elastic constants, the coefficients of the Murnaghan logarithmic equation of state, the Debye temperature, and the mode Grüneisen parameters from which the low and high temperature limits of the Grüneisen constant are evaluated.
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Yasuo Oka, Takashi Kushida
1972 Volume 33 Issue 5 Pages
1372-1380
Published: November 05, 1972
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Second-order Raman effect has been investigated in CdS and ZnO at liquid He temperature by using a tunable exciting light source. An organic dye laser has been employed which is pumped by a nitrogen laser and produces continuously wavelength-variable light pulses of ∼10 kW peak power. Measured frequency dependence of the scattering cross-section near the resonance region is compared with existing theory. The result indicates that the dominant scattering mechanism in this region is successive scattering of the virtually created
A exciton by two longitudinal optical phonons. With high density excitation (∼0.6 MW/cm
2), the intensity ratio of the Raman line to the incident laser light has been found to decrease remarkably under the nearly resonant condition in CdS. This effect is attributed to the light absorption induced by intense electronic excitation of the material.
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Yutaka Takagi, Yoshihiro Ishibashi
1972 Volume 33 Issue 5 Pages
1381-1389
Published: November 05, 1972
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Local field at general positions in Rochelle salt crystals is considered on the basis of the symmetry. The variation in dipole moments on each sublattice caused by applied electric field is obtained. The conditions for the instability of dipole arrangement are given for P2
12
12, P2
111, P12
11, P112 crystals in terms of susceptibility of dipolar radicals and Lorentz factors. The nature of electrostatic interaction energy of Rochelle salt is clarified, by taking into account the dipole-dipole interaction as well as the dipole-charge interaction between sublattices and also the electronic polarizability of ions situated on the two-fold axes along the
c direction. Some coefficients which appear in Mitsui theory are reexamined under the light of the present results.
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Kêitsiro Aizu
1972 Volume 33 Issue 5 Pages
1390-1395
Published: November 05, 1972
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The preceding paper [J. Phys. Soc. Japan
33 (1972) 629] considered, in a general and unified way, ferroelectrics and ferroelastics such that the principal element of electric susceptibility tensor or elastic compliance tensor is almost independent of temperature in the prototypic phase down to the Curie point. Of such ferroelectrics and ferroelastics, ones are possible in which the index of faintness
n is unequal to the cell multiplicity
m; as a special case ones are possible which have
m=1 or from no superstructure despite of
n≥2. Three imaginable examples are presented and discussed.
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Kojiro Mori, Mitsuhiko Hayashi
1972 Volume 33 Issue 5 Pages
1396-1400
Published: November 05, 1972
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The effect of a two-dimensional pressure perpendicular to the ferroelectric axis on the Curie temperatures of triglycine sulphate (TGS) and Rochelle salt (RS) was studied. The Curie temperatures
Tc varied linearly with the pressure
p within the pressure range studied (
p<100 bar). The rate of the
Tc shift was ∂
Tc⁄∂
p=13±1 for TGS, ∂
Tc⁄∂
p=−22±1 for the upper Curie point of RS and ∂
Tc⁄∂
p=30±2 for the lower Curie point of RS, all in °C/k bar. These results agree with the predictions of the phenomenological theory (Ginzberg-Devonshire theory) and Janovec’s theory (V. Janovec: J. chem. Phys.
45 (1966) 1874).
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Kazuko Kubo
1972 Volume 33 Issue 5 Pages
1401-1406
Published: November 05, 1972
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NaF crystals were bombarded with protons of energy from 0.6 to 2 MeV at somewhat high temperatures, to have Na colloid in the proton-penetrated zone. The average projected range of protons was measured by thickness of the colloid layer. The range-energy relation obtained in the present study has little effect of the proton channeling and seems to be that for random directions. The microscopic cleavage profile in the beam direction included colored zone, separate colloid layers, microcracks, and turning of the cleavage steps, which appears to have close relation with the effects of resonant
19F(p, α)
16O reactions as well as the proton penetration itself. Their locations coincide with the range ends of the protons of incident and resonant energies and of the α-particles produced at 340.5 keV resonance. Hydrogen and oxygen with protons and α-particles may contribute to the occurrence of a local strain to initiate cracks.
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Hiroshi Yamashita
1972 Volume 33 Issue 5 Pages
1407-1414
Published: November 05, 1972
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The reflectivity spectra of NaNO
3 single crystal have been measured in the region from 4 to 12 eV with polarized light normally incident upon the cleaved surface (10\bar11). Two principal dielectric constants, \hatε
o and \hatε
e, have been derived from the spectra with the application of the Kramers-Kronig relation and the equation of dielectric ellipsoid for uniaxial crystals. The profile of the absorption spectrum derived from the reflectivity is in good agreement with the absorption spectrum of thin films, particularly with respect to the bands at about 6 eV and 10.5 eV. It is found that the 6 eV band is active to light polarized perpendicularly to the
c axis and the oscillator strength of the band is 0.4
9 per NO
3− molecule. These facts support the previous assignment that the absorption is due to π
2→π
* (
A1′→
E′) in NO
3−. The 10.5 eV band is found to be active to light polarized perpendicularly to the
c axis, and is assigned to the electron transfer from the
n2(
e′) orbitals of NO
3− to the Na
+–3s orbital.
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Masanori Komuro, Shoichi Kojima, Takeo Ichinokawa
1972 Volume 33 Issue 5 Pages
1415-1419
Published: November 05, 1972
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Reversal angle θ
R where the Kikuchi band contrast changes from defect to excess were measured as a function of crystal thickness
D for symmetrical Kikuchi bands (220) and (400) of Si at 80 kV. The defect region near the incident spot extends towards the outer part of the pattern with increasing crystal thickness. The experimental curves between θ
R adn
D for (220) and (400) bands get nearer to each other with increasing crystal thickness. A defect region of Kikuchi bands still remains even in the thin crystal limit. Those results are compared with the theory of Okamoto
et al. (J. Phys. Soc. Japan
30 (1971) 1960) corrected by inclusion of the exchange effects proposed by Shimamoto
et al. (Technical Report of ISSP, Series A, No. 506 (1972)). The numerical calculations of the theory of Okamoto
et al. taking into account the effect of the diffuse broadening of the incident beams explain qualitatively experimental results in the thick crystal region. Moreover, experimental positions of the defect region of (220) and (400) bands in the thin crystal limit agree with the theory when corrected by the exchange effects, providing an experimental confirmation of the exchange effect in the negative region of Kikuchi bands.
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Michitaka Terasawa, Tetsuji Tamura, Hitoshi Kamada
1972 Volume 33 Issue 5 Pages
1420-1425
Published: November 05, 1972
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Experimental cross sections are presented for the ionization of K-shells of beryllium in collision with heavy ions and proton; C
+, N
+, O
+, Ne
+ and Ar
+ for bombarding energy ranging from 0.3 to 30 keV per amu, while that for protons is 10 to 200 keV per amu. Proton data show good agreement with the prediction for Coulomb excitation of K-shell electrons. The date for heavy ions are several orders of magnitude larger than that for proton. These results are understood in terms of pseudomolecule formation and crossings of molecular orbitals during the collisions. Heavy ion cross sections show the trend to converge to the theoretical Coulomb excitation cross sections in high energies above about 10 keV per amu.
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Fumihiro Koike, Hiroki Nakamura
1972 Volume 33 Issue 5 Pages
1426-1435
Published: November 05, 1972
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Associative ionization between atoms in slow collisions
A*+
B→
AB++
e is investigated theoretically for the case in which the excitation energy of
A* is smaller than the ionization potential of
B. Two cases are considered. First, on the basis of the adiabatic or diabatic representation, a general treatment is described for the case involving a potential curve crossing. In the second case of no potential curve crossing the cross section formula is presented which does not require numerical differentiations and thus is of practical usefulness. A rough estimate of the energy dependence of the cross section is also discussed in this case. Some qualitative applications to a hydrogen system are made.
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Kazunari Ikuta
1972 Volume 33 Issue 5 Pages
1436-1441
Published: November 05, 1972
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A necessary stability condition for the electrostatic perturbation is obtained for a high intensity highly relativistic electron beam with circular cross-section. Both the relativistic effect and the strong external magnetic field may stabilize the electrostatic instability.
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Shobu Kaneko, Toshihide Tsunematsu
1972 Volume 33 Issue 5 Pages
1442-1447
Published: November 05, 1972
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Newcomb’s method for obtaining the necessary and sufficient condition for hydromagnetic stability is applied to the linear Bennett pinch of length 2π
R. For the kink mode, the obtained necessary and sufficient condition for stability is β
z≤
F(
R⁄
r0)(
r0⁄
R)
2, where β
z and
r0 are the toroidal β and the mean radius of the pinch, respectively. The function
F(
R⁄
r0) is positive definite and increases monotonically from
F(0)=0 to
F(∞)=1.0. It varies slowly for large
R⁄
r0,
i.e., it is larger than 0.9 if
R⁄
r0>3.0. For the sausage mode, the necessary and sufficient condition for stability is β
z≤3.80. The Bennett pinch is hydromagnetically stable if both conditions are fulfilled. Tokamak T-3 fulfills these necessary and sufficient conditions.
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Akira Yoshizawa
1972 Volume 33 Issue 5 Pages
1448-1452
Published: November 05, 1972
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Laminar viscous flow past a semi-infinite flat plate placed parallel to a uniform stream is studied by means of the second approximation of the modified Oseen-type successive approximation. It is shown that the solution obtained not only retains such a good property of the modified Oseen solution as to be in remarkable agreement with existing numerical solutions, but also matches with the solution based on the Stokes-type successive approximation near the leading edge of the plate. Thus, it is concluded that the modified Oseen solution may be regarded as a reasonable, first approximate solution to the Navier-Stokes equations in a region near the centre line upstream of the plate.
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Akira Yoshizawa
1972 Volume 33 Issue 5 Pages
1453-1455
Published: November 05, 1972
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Analysis based on the boundary-layer theory is made on the unsteady viscous flow which takes place when a flat plate floating on the surface of a viscous fluid flowing with uniform velocity is suddenly stopped. The unsteady boundary-layer equation is derived from the Navier-Stokes equations by taking the limit
Rt(=
U2t⁄ν)→∞, where
U is the velocity of the uniform flow, ν the kinematic viscosity and
t the time. It is shown that the position of the free surface downstream of the plate varies as
x1⁄3 and
t1⁄6, where
x is the distance measured from the trailing edge of the plate.
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Ryogo Hirota
1972 Volume 33 Issue 5 Pages
1456-1458
Published: November 05, 1972
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An exact solution has been obtained for the
modified Korteweg-de Vries equation,
(
Remark: Graphics omitted.),
for the case of multiple collisions of solitons with different amplitude.
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Ryogo Hirota
1972 Volume 33 Issue 5 Pages
1459-1463
Published: November 05, 1972
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An exact solution has been obtained for the sine-Gordon equation,
(
Remark: Graphics omitted.),
for the case of multiple collisions of solitons with different amplitudes. It is found that solitons behave as if they were particles having apparent attractive forces between them.
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Lokenath Debnath, Andrew G. Kulchar
1972 Volume 33 Issue 5 Pages
1464-1470
Published: November 05, 1972
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A study is made of the transient development of dispersive long waves on the surface of a homogeneous rotating shallow ocean due to an arbitrary wind stress distribution which may be steady, oscillatory or transient in character acting on the free surface of the liquid. Attention is given to the effects of the Coriolis force on the wave motions for various ranges of the parameter which is the ratio of the frequency of rotation and the frequency of the imposed atmospheric disturbances. With the aid of the generalized function treatment and the asymptotic methods, the solution of the initial value wave problem related to physically realizable wind stress distributions is obtained. Several limiting cases of interest are discussed. The principal properties of the wave motions are analyzed.
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Nobuo Yajima
1972 Volume 33 Issue 5 Pages
1471-1477
Published: November 05, 1972
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Behavior of finite amplitude long gravity waves in a water layer with an irregular bottom surface is investigated by means of a nonlinear perturbation method. Under the assumption that the irregularities are of small size, a simple set of nonlinear equations is presented. There arise two effects in the propagation characteristic of shallow water waves, change in phase velocity and damping of amplitude. For the one-dimensional and unidirectional motion of shallow water waves the set of equations is reduced to a simpler one, the generalized Korteweg-de Vries equation. The decay rate of a solitary wave is also obtained.
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H. Wagenfeld, R. M. Stern
1972 Volume 33 Issue 5 Pages
1478-1480
Published: November 05, 1972
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It is shown that in the Bethe treatment of electron diffraction, the usual two beam approximations made in the Bragg case are not valid for low order reflections independently of the electron energy and the four beam approximation should instead be necessary.
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Toshihiko Tokunaga, Hatsuo Tange
1972 Volume 33 Issue 5 Pages
1481
Published: November 05, 1972
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Kohsuke Yagi, Kenji Sato, Yasuo Aoki
1972 Volume 33 Issue 5 Pages
1482
Published: November 05, 1972
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Kinshiro Hirakawa, Hironobu Ikeda
1972 Volume 33 Issue 5 Pages
1483
Published: November 05, 1972
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Hisashi Takenaka, Kunisuke Asayama
1972 Volume 33 Issue 5 Pages
1484
Published: November 05, 1972
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Kazuaki Fukamichi, Hideo Saito
1972 Volume 33 Issue 5 Pages
1485
Published: November 05, 1972
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Nobuyasu Hase
1972 Volume 33 Issue 5 Pages
1486
Published: November 05, 1972
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Takuro Ikeda, Kazuo Fujibayashi
1972 Volume 33 Issue 5 Pages
1487
Published: November 05, 1972
Released on J-STAGE: May 29, 2007
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