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Katsuji Koyama
1976 Volume 41 Issue 5 Pages
1445-1452
Published: November 15, 1976
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The
12C(τ, d)
13N reaction was investigated at an incident energy of 81.4 MeV. Angular distributions of the reaction were analyzed by zero-range and finite-range DWBA. It is found that finite-range effects are important in this reaction. Particle unbound states are analyzed by using resonance form factors, and the results are discussed in comparison with those of proton resonance scattering.
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Kozo Hoshino
1976 Volume 41 Issue 5 Pages
1453-1458
Published: November 15, 1976
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The optical conductivity of a two-dimensional disordered system is calculated using a simple model, in which the existence of the so-called mobility edge is assumed and the energy dependence of the localized state wavefunction is taken into account. The frequency dependence of the calculated optical conductivity agrees qualitatively with the experimental result for the silicon inversion layer obtained recently by Allen, Tsui and DeRosa. It is shown that the energy dependence of the localized state wave function is very important to determine the behaviour of the optical conductivity.
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Minoru Kikuchi
1976 Volume 41 Issue 5 Pages
1459-1465
Published: November 15, 1976
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Numerical studies are made on the localization of
p-electrons in disordered two dimensional lattices with fluctuations in the interatomic distance not larger than those found in a liquid. Results based on simple models for the interaction between atomic
p-states indicate that the localizability of
p-electrons is not so enhanced as compared to that of
s-electrons.
Further, a system is considered in which an atom has both
s- and
p-states. It is demonstrated that the
sp-hybridization considerably enhances the localizability at the extremities of a band.
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Masaru Tsukada
1976 Volume 41 Issue 5 Pages
1466-1472
Published: November 15, 1976
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An effective Hamiltonian to describe the dynamics of the center coordinates of the cyclotron motion is presented. The tail states of the Landau subbands are investigated by means of the effective Hamiltonian for the case of long-range random potentials. Especially the state density in the tail is obtained by the WKB approximation. The mobility edge is roughly estimated by the classical percolation theory and compared with experimental results.
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Akio Kotani
1976 Volume 41 Issue 5 Pages
1473-1479
Published: November 15, 1976
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Self-consistent calculations of amplitudes of primary spin-density-wave
A1, second harmonic charge-density-wave
A2 and third harmonic spin-density-wave
A3 in chromium are made with a simple two-band model both by a perturbation method and an exact numerical method. It is shown that
A2 is almost always proportional to (
A1)
2 irrespective of the sign of a coupling constant
v relevant to charge density interaction, but that the behavior of
A3 depends on the sign of
v. When
v is positive (i.e. repulsive interaction),
A3 is proportional to (
A1)
3 at temperatures close to the Néel point, but shows a tendency of saturation at low temperatures, in agreement with recent experimental observations by Pynn
et al. When
v is negative, the saturation of
A3 is absent.
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Hideo Nagayoshi, Kenji Nakao, Yasutada Uemura
1976 Volume 41 Issue 5 Pages
1480-1487
Published: November 15, 1976
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The complicated Fermi surface of graphite has been constructed successfully by using a new method of
ab initio energy band calculation. The new method has been developed for he purpose of obtaining detailed band structures of layer-type crystals, in which the total wavefunction is constructed by two-dimensional OPW’s in a layer plane and by one-dimensional Bloch functions for a virtual crystal in the direction perpendicular to the layer.
The Slonczewski-Weiss band model has been found to be fully adequate for the description of the Fermi surface of graphite. Theoretical values of the parameters γ
0∼γ
5 and
Δ in this band model have been obtained, being in good agreement with experimental ones.
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Susumu Kurihara
1976 Volume 41 Issue 5 Pages
1488-1498
Published: November 15, 1976
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Effect of dilute impurities on Fröhlich’s collective mode is investigated by solving the Dyson equation for the collective mode Green’s function which includes self-consistently an infinite series of impurity scattering processes occuring through electronic bubbles. The Dyson equation is shown to reduce to a simple algebraic equation in the low frequency region of interest. The electrical conductivity σ(ω) is examined and related to the collective mode Green’s function.
An analytic solution to the reduced Dyson equation is obtained. The resulting expression for conductivity is very simple: σ(ω)∝ω
−3\sqrtω
2−(1⁄2)ω
T2 where ω
T is a constant. the analytic expression for σ(ω) describes the pinning effect fairly well: it gives a sharp asymmetric peak at (\sqrt3⁄2)ω
T with width ∼ω
T, and it satisfies exactly the conductivity sum rule for the collective mode.
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Yuji Kodama, Miki Wadati
1976 Volume 41 Issue 5 Pages
1499-1504
Published: November 15, 1976
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It is shown that a nonlinear partial differential equation
ut+6α
uux+6β
u2ux+
uxxx=0 is a completely integrable Hamiltonian system.
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Masakazu Ito
1976 Volume 41 Issue 5 Pages
1505-1512
Published: November 15, 1976
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Density correlation function 〈ρ·ρ〉
kω is calculated on the basis of phenomenological equations of macroscopic variables ρ,
s,
j,
Ψ,
Ψ*, near
Tλ. In particular the “central peak” due to fluctuations in the amplitude of the condensate field
Ψ is carefully investigated. It is concluded, however, that the “central peak” is far less important than the contributions from second sound in the regime
kξ<1. The final expression obtained for 〈ρ·ρ〉
kω is compared with that of Kretzen and Mikeska and that of Hohenberg.
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Yoichi Kuramitsu
1976 Volume 41 Issue 5 Pages
1513-1521
Published: November 15, 1976
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The microscopic dynamics of the metamagnetic transition of CoCl
2·2H
2O was investigated by the measurements of the magnetization process at a constant temperature as a function of time, and the field points of temperature spikes (
ΔT) in the course of adiabatic magnetization. The time required for the AF–FI transition, τ
AF–FI, was measured by the field-step method. τ
AF–FI (
T,
H)=4.0×10
−8·exp(9.0×10
−3|
H−
H*|⁄
T) sec, where
H* was 39 kOe in
Hinc and 24 kOe in
Hdec. The series of delayed AF–FI transition points predicted by Tinkham were detected by measuring the
ΔT spikes and magnetization steps at 1.4≤
T≤4.2 K.
ΔT spikes were found at some other points (<
HC2) which corresponded to the rearrangement of the mis-fitting spin-sites. From the various anomalies of hysteresis phenomena, which were newly found comparing the results in the field returned back before and after passing
HC2, the mechanism of the rearrangement could be discussed.
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Yoshikazu Miyahara, Fuminori Sai
1976 Volume 41 Issue 5 Pages
1522-1529
Published: November 15, 1976
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Large magnetic moments were observed in the cubic spinel oxides Ge
xZn
1−xFe
2O
4 (0<
x<1). Lattice constant of this system deviates from the Vegard’s law. Intensity analysis of X-ray powder diffraction indicates that approximately 30% of A site are occupied by magnetic ions in the case
x=0.5. Ion distribution of the whole system is proposed which can explain the
x dependence of the magnetic moment and the lattice constant. The distribution is shown to be reasonable from a view point of electric charge neutrality in a cluster of several cations and anions.
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S. Radhakrishna, B. V. R. Chowdari, A. Kasi Viswanath
1976 Volume 41 Issue 5 Pages
1530-1533
Published: November 15, 1976
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The EPR on single crystals of BaCl
2·2H
2O and BaBr
2·2H
2O doped with vanadyl ions are studied in the temperature range 30°C to −196°C. At room temperature the hyperfine structure of vanadium is observed. The spectrum at room temperature is isotropic and shows that vanadyl is tumbling in the lattice. The spectrum at low temperatures is also angular independent and the characteristics show that the motions of vanadyl are hindered. The spectra are analysed using a spin-Hamiltonian corresponding to tetragonal symmetry. The dependence of the linewidth on the nuclear-spin quantum number is studied and the linewidths at room temperature are found to obey the relation 1⁄
T2=π\sqrt3(
a1+
a2mI+
a3mI2). The linewidth is found to increase at low temperature which is due to the increase in the correlation time.
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Kazushi Sugawara, C. Y. Huang
1976 Volume 41 Issue 5 Pages
1534-1539
Published: November 15, 1976
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EPR of Gd
3+ in the Van Vleck paramagnets, PrPb
3 and TmCd have been investigated. The temperature-dependent linewidths have been found to be in agreement with the prediction of Moriya and Obata. In a complementary study, non-
S-State Dy
3+ in TmP, TmAs, PrP, PrAs, PrSb, PrBi and PrS, and Ce
3+ in TmS, TmAs, PrS and PrP have been examined. For all these cases, (
S-state as well as the non-
S-state magnetic ions), the temperature variation of the
g-shifts follows the susceptibilities of the hosts. The exchange coupling constants between the impurity ions and the host magnetic ions have been obtained.
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Hitoshi Yamazaki, Motoyuki Tanaka
1976 Volume 41 Issue 5 Pages
1540-1543
Published: November 15, 1976
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Subthreshold steady-state absorption under parallel pumping in a quasi-two-dimensional ferromagnet K
2CuF
4 has been observed at a pumping frequency of 8.9 GHz in the temperature range from 1.4 to 4.2 K. The magnon density of states by which the magnitude of the absorption is mainly determined is experimentally revealed near the band edge including the singular point due to weak interlayer exchange interaction. A prospect for parallel pumping in a quasi-one-dimensional ferromagnet is given.
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Tetsuo Soumura, Takao Maeda
1976 Volume 41 Issue 5 Pages
1544-1549
Published: November 15, 1976
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The absolute thermoelectric power
S of polycrystalline gadolinium has been measured with and without a magnetic field over the temperature ranges from 77 K to 400 K. As an effect of the magnetic field on
S, a peak is observed at 220∼230 K, of which the temperature corresponds to an occuring temperature of a spin rotation from the hexagonal
c-axis to a cone structure about the
c-axis. The temperature variations of
S and the magnetic field effect in ferromagnetic regions are analyzed in terms of the Kasuya theory based on the free electron model. At paramagnetic states, on the other hand,
S increases with increasing temperature. This temperature variation is calculated taking into account unusual conductive 5
d–6
s bands with a 3
d electron-like high density of states pointed out by Keeton and Loucks.
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Katsunori Iio, Kazukiyo Nagata
1976 Volume 41 Issue 5 Pages
1550-1555
Published: November 15, 1976
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Optical absorption studies of the quadratic-layer antiferromagnets K
2NiF
4, Rb
2NiF
4 and Ba
2NiF
6 in the regions of electronic transitions have been performed from the magnetic anisotropic point of view. A Ni
2+ energy spectrum reflecting a tetragonal crystalline field was observed in Ba
2NiF
6, while cubic spectra were obtained in K
2NiF
4 and Rb
2NiF
4. From the observed tetragonal splitting energy of
3T2g(
3F) band, the single ion anisotropy constant
D of Ni
2+ in Ba
2NiF
6 was determined as fairly large value of −15.4±1.8 cm
−1 and −12.8±1.8 cm
−1 at 300 K and 90 K, respectively.
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Yasunori Kubo, Shinya Wakoh, Jiro Yamashita
1976 Volume 41 Issue 5 Pages
1556-1561
Published: November 15, 1976
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The complex dielectric function ε(0, ω) of copper is calculated by a realistic band model up to hω=25 eV. the energy values ad the wave functions are calculated by APW method with the Chodorow potential. The eleven energy bands are used to obtain the matrix elements of the interband transitions. The energy loss spectrum at long wave limit is determined from the complex dielectric function. It has a broad peak whose center is situated near 20 eV. Since the plasmon energy of the electron gas of the same electron density as that of copper is about 10 eV, the observed energy loss spectrum is not free-electron like, but its character is ascribed to the interband transition from the 3d-bands to the empty bands. The observed energy loss spectrum by Takigawa
et al. is in good agreement with the result of our calculation.
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Masafumi Senoo, Hisao Mii, Ikuya Fujishiro
1976 Volume 41 Issue 5 Pages
1562-1569
Published: November 15, 1976
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A new method for the determination of parameters in the pseudopotential of the Heine-Abarenkov model is proposed. In the present method the total energy can be expressed as a function of the atomic volume. The values of new parameters are determined from the experimental data of crystal properties at 0 K and 0 kbar. The pressure-volume relations for eight cubic metals Na, K, Rb, Cs, Ca, Al, Si and Ge are calculated up to very high pressure by means of this model potential and the second order perturbation theory. From these calculated results the pressure-volume relations at 293 K are estimated and compared with the experimental data obtained by various methods. The agreement for all metals except Ca is fairly good and some systematic error seems to be included in Bridgman’s data.
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Shoji Ishida, Junji Ishida, Setsuo Asano, Jiro Yamashita
1976 Volume 41 Issue 5 Pages
1570-1574
Published: November 15, 1976
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The energy bands of an ordered alloy Fe
3Al both in paramagnetic and ferromagnetic state are calculated by the symmetrized augmented plane wave (SAPW) method. There are two types of iron atoms (Fe(I) and Fe(II)) in ferromagnetic state with a different value of the magnetic moment.
The density-of-states of Fe(I) which has eight iron atoms as its nearest neighbors is different from that of Fe(II) which is surrounded by four iron atoms and four aluminum atoms. The former density is quite similar to that of iron metal, but the latter is considerably different. The
d-bands of majority spin electrons mostly lie below the Fermi level, whereas those of minority spin electrons are extended across the Fermi level.
The values of magnetic moments calculated for Fe(I) and Fe(II) are in good agreement with experimental values. The difference between magnetic moments on the atom Fe(II) and on Fe atom in iron metal seems to be attributed to the change of the density-of-states near the top of the
d-bands. It is evident that the electronic structures of Fe(II) atoms have been considerably affected by the neighboring aluminum atoms.
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Michio Kiritani, Yasuhiro Maehara, Hiroshi Takata
1976 Volume 41 Issue 5 Pages
1575-1583
Published: November 15, 1976
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Electron radiation damage of molybdenum was performed in a high voltage electron microscope at temperatures up to 600°C. The defects formed by the clustering of point defects are dislocation loops of interstitial type on {111} planes with their Burgers vector perpendicular to the loop plane. The characteristic shape of the loops is induced by the directional flow of interstitial atoms along the gradient of the dilatational strain field of the dislocation loops. The nucleation of loops is found to be impurity sensitive. An analysis of the temperature dependence of the number of loop nuclei gives the activation energy for the release process of interstitial atoms from the impurity traps to be 0.19 eV. The nucleation period and growth nature of interstitial loops are classified with irradiation temperature, and they are well explained in terms of the vacancy mobility. It is confirmed that the lower the irradiation temperature is, the greater the amount of vacancies accumulated in a specimen.
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Kozo Furukawa, Jin-ichi Takamura, Nobuo Kuwana, Ryoichi Tahara, Mutsum ...
1976 Volume 41 Issue 5 Pages
1584-1592
Published: November 15, 1976
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With particular attention to the thermal stain and the specimen thickness effect, the energy and the entropy for the formation of a vacancy in pure aluminium were carefully determined from the measurement of quenched-in resistivities. The energy and the entropy thus obtained are 0.702±0.003 eV and 1.69±0.06
k, respectively. Free energies for the migration and the binding of a divacancy at temperatures 85±5°C were also determined from the initial decay rate on isothermal annealing of quenched-in resistivities, which are 0.43±0.02 eV and 0.14±0.02 eV, respectively.
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Koushi Ando, Kikuo Yamabe, Shigehiro Hamada, Chihiro Hamaguchi
1976 Volume 41 Issue 5 Pages
1593-1602
Published: November 15, 1976
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Resonant Brillouin Scattering in semi-insulating ZnSe is investigated at room temperature by using two kinds of injected acoustic waves; fast transverse and slow transverse modes. The observed dispersions in scattering cross section show the resonant enhancement and cancellation near the fundamental absorption edge, which are explained by theoretical analyses based upon Loudon’s theory. Calculated dispersions taking account of exciton virtual states agree well with the experimental results. Resonant cancellation is explained in terms of the relevant photoelastic constants undergoing a sign reversal near the band edge, which was confirmed by the analyses of piezobirefringence theory.
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Tatau Nishinaga, Osamu Hori, Susumu Uchiyama
1976 Volume 41 Issue 5 Pages
1603-1610
Published: November 15, 1976
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Disorder scattering in semiconductor alloys is studied by employing Green’s function method. As a first approximation, Yonezawa’s self-consistent Green’s function is applied to the problem. The scattering potential of the alloying atoms is determined empirically by comparing experimental and theoretical band edge shifts. Calculation with In
1−xGa
xAs case demonstrates that the present calculation gives much lower mobility than Brooks’ in a good agreement with the experiments.
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Ajay Gupta, K. Rama Reddy
1976 Volume 41 Issue 5 Pages
1611-1616
Published: November 15, 1976
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The observed anomalies in second order Doppler shift (SOD-shift) and recoilless fraction are explained on the basis of the thermal relaxation of a localized mode. A general expression which includes both the SOD-effect and the lattice mode relaxation is derived for the emission probability of Mössbauer radiation. The recoilless fraction is found to be independent of the mode relaxation. A particular class of simple experiments are suggested for the unambiguous evaluation of the thermal relaxation rate of the localized mode.
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Kazuro Murayama, Kazuo Morigaki, Shiro Sakuragi, Hiroshi Kanzaki
1976 Volume 41 Issue 5 Pages
1617-1624
Published: November 15, 1976
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We have observed ESR spectra of the excited states related to the prompt and delayed luminescences in silver halides. The localized state responsible for the prompt luminescence in AgCl is identified as the self-trapped exciton localized at a chloride ion. The self-trapped hole stage of Ag
2+ is found to participate in the delayed luminescence in AgCl which is due to the recombination of the distant electron-hole pair. Some information is obtained on the trapped electrons in volved in the delayed luminescence.
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Yasushi Hoshino, Kazuyoshi Tateishi
1976 Volume 41 Issue 5 Pages
1625-1629
Published: November 15, 1976
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Transport of holes through beta-carotene glass was studied using a transient photoconductivity technique. The mobility is measured to be 1.5×10
−3 cm
2/V sec at 21°C and 10
4 V/cm. The motion of carriers can be represented by transit time
Tr, which means the time necessary for a charge carrier to travel from the front electrode to the counter-electrode of the sample. The inverse transit time (
Tr)
−1 is found to vary with temperature
T in the form of exp (−ε
0⁄
kT), with ε
0=0.22 eV, and to vary with electric field
E in the form of exp (α
cE1⁄2) with α
e=2×10
−3 (m/V)
1⁄2. Dielectric constant ε of beta-carotene glass was measured to be ε=1×10
−10 F/m at 1 KHz. Using the Poole-Frenkel theory, the coefficient of
E1⁄2 in exp (α
tE1⁄2) is estimated to be α
t=1×10
−3 (m/V)
1⁄2. The observed α
e agrees approximately with the value of estimated α
t. Therefore, it is concluded that the transport of charge carrier is mainly controlled by the Poole-Frenkel effect.
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Katsuyuki Asaumi, Osamu Shimomura, Shigeru Minomura
1976 Volume 41 Issue 5 Pages
1630-1635
Published: November 15, 1976
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Pressure-induced structural transformations in amorphous InSb have been studied by X-ray diffraction at room temperature. Amorphous InSb slowly transforms to a crystalline modification with NaCl-type structure at pressures from 4 to 28 kbar, and to β-Sn-type structure or its modified tetragonal structure above 28 kbar. After releasing pressure the NaCl-type modification below 28 kbar is retained at atmospheric pressure and room temperature, whereas the high pressure modification formed above 28 kbar transforms to a crystalline mixture of NaCl-type and ZnS-type structures.
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Kaizo Nakamura, Masami Fujita, Nobuhito Ohno, Snin-ichi Kondo, Yoshio ...
1976 Volume 41 Issue 5 Pages
1636-1642
Published: November 15, 1976
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Piezo- and wavelength modulated reflection spectra of the first exciton band of TlCl are investigated at liquid nitrogen temperature. Spectra of strain-induced changes in ε
2 for hydrostatic, tetragonal and trigonal deformations are obtained. They indicate that minimum direct gap occurs at the
X point in the Brillouin zone. Stress effects are interpreted by the theory based on the intra- and intervalley interactions of direct excitons at different
X points. Under the [001] stress, piezo-spectrum for the polarization perpendicular to the stress direction consists mainly of energy shift of low energy component of the exciton doublet, while for the parallel polarization the spectrum consists of energy shift of high energy component. Spectral shapes of both components are deduced. Tetragonal deformation potential constant
D13 is estimated to be 2.1 eV.
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S. R. Salinas, J. F. Nagle
1976 Volume 41 Issue 5 Pages
1643-1649
Published: November 15, 1976
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To further understanding of the large dielectric anomaly in layered SnCl
22H
2O (SCD) calculation are performed on a layered Ising model with strong ferroelectric interactions within the hydrogen bonded planes and weak antiferroelectric interactions between planes. Series expansions are performed for nearest neighbor interactions and a layered mean field approximation is developed in which only the weak interplanar interactions are replaced by a mean field. The layered mean field approximation is shown to agree very well with the series expansions provided one is not too close to the transition. Comparison with experiment on SCD leads to a small dipole moment interacting with external fields of the order of 0.12 Debye, which indicates very small displacements of the heavy atoms at the transition. The model reproduces the effective critical exponent γ=7⁄4 in the region in which it is measured. With the hypothesis that SCD is antiferroelectric, the calculations lead to the estimate that the ratio of the strength of the interplanar interactions to the intraplanar interactions is only 10
−5 to 10
−6.
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Yoshihiro Ishibashi, Vladimir Dv\v{o}rák
1976 Volume 41 Issue 5 Pages
1650-1658
Published: November 15, 1976
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Features of domain walls in improper ferroelectrics are theoretically studied on the basis of a simple one dimensional model. The spacial dependence of order parameters within the walls and the wall energy were calculated numerically as the functions of two model parameters. It has turned out that the dependences of antiphase domain wall and ferroelectric domain wall on one of the model parameters are quite different.
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Yasutaka Nagae, Mitsuo Wada, Yoshihiro Ishibashi, Yutaka Takagi
1976 Volume 41 Issue 5 Pages
1659-1662
Published: November 15, 1976
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Raman scattering spectra of Ca
2Sr(C
2H
5CO
2)
6 and Ca
2Pb(C
2H
5CO
2)
6 were studied in the frequency range up to 2000 cm
−1 and in the temperature range between −200°C and 150°C. No soft mode was observed. As a result, it is concluded that the phase transition of both materials is of order-disorder type.
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Toshihisa Yamaguchi, Katsumi Hamano
1976 Volume 41 Issue 5 Pages
1663-1669
Published: November 15, 1976
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The electrostrictive constants
Q122,
Q222 and
Q322 of NaNO
2 have been obtained in the para- and antiferroelectric phases by measuring the change in the dielectric constant caused by the application of a uniaxial stress. It has been found that there is a remarkable difference between the isothermal electrostrictive constant
Qi22T and the adiabatic one
Qi22σ. The difference is so great that the signs of
Q122T and
Q122σ are opposite to each other over a certain temperature range above
TN. Further the electrostrictive constants show pronounced temperature dependence near
TN, which is ascribed to the critical behavior of the electric susceptibility in this temperature region. An equation is derived which gives the pressure dependence of the transition temperature in terms of the electrostrictive constants.
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Katsumi Hamano
1976 Volume 41 Issue 5 Pages
1670-1678
Published: November 15, 1976
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A phenomenological theory of the electromechanical properties of order-disorder type ferroelectrics is developed. The theory takes into account properly the role of an ionic polarization which interacts with a dipole system. Based on Onsager’s equation of motion, the complex electric susceptibility, piezoelectric and elastic compliance coefficiencts are derived. Some examples of numerical calculation are shown. The results can explain the anomalous static and dynamic properties of the piezoelectric constants of NaNO
2, AgNa(NO
2)
2, Ca
2Sr(C
2H
5CO
2)
6 etc., and also the anomalous temperature dependence of the elastic compliances measured at constant polarization in Ca
2Sr(C
2H
5CO
2)
6 and Ca
2Pb(C
2H
5CO
2)
6.
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Kazuyuki Itoh, Hironori Matsunaga, Eiji Nakamura
1976 Volume 41 Issue 5 Pages
1679-1680
Published: November 15, 1976
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Crystal structure analysis of SbSI in the ferroelectric phase has been made at 1.3°C by using full three-dimensional Bragg reflection data collected with X-ray automatic four-circle diffractometer. The discrepancy factor is 0.030. The atomic shifts from the positions in the paraelectric phase take place along the ferroelectric
c-axis by 0.103 Å for Sb atoms and 0.019 Å for S atoms. A large thermal parameter of 0.16 Å in amplitude is seen for Sb atoms along the
c-axis. The split atom method has shown that the nature of the phase transition is very close to the displacive type.
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M. J. Tello, E. H. Bocanegra, J. Peraza, J. Manas-Diaz
1976 Volume 41 Issue 5 Pages
1681-1683
Published: November 15, 1976
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An equation of state for the ferro-paraelectric phase transition of T.G.S. near
Tc with the incorporation of the tunnel effect is presented. The influence of this effect is very small but enough to get an equation of state which is in complete agreement with the experimental results in the temperature range where the M.F.A. predictions for the critical exponents are satisfied.
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Hikaru Araki, Toshiyuki Ninomiya
1976 Volume 41 Issue 5 Pages
1684-1691
Published: November 15, 1976
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A stochastic theory of dislocation motion in an impurity field is developed. Unpinning process of a dislocation segment is treated as motion of one particle, where the flexible nature of the dislocation is taken into account by introducing an effective external stress. For large viscosity case, the problem reduces to that of diffusion. The steady motion of the dislocation is obtained as a function of external stress, impurity potential, and temperature. It is found that in medium stress range the velocity is proportional to high power of external stress as obtained experimentally. The impurity concentration dependence is also discussed. The results are compared with experiments to give a sufficient agreement.
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Toru Matsuo, Hideji Suzuki
1976 Volume 41 Issue 5 Pages
1692-1698
Published: November 15, 1976
Released on J-STAGE: June 01, 2007
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The thermal conductivity of deformed crystals of bismuth and its dilute alloys has been measured as a function of temperature from 1.5 to 20 K. Most crystals were deformed by compression so as to cause slip on the glide systems (111)[10\bar1] and (001)[1\bar10]. The other crystals were deformed by rapid compression or bending in order to cause mechanical twinning. The thermal conductivity of dilute alloy crystals is lower than that of pure crystals around the temperature at which the maximum thermal conductivity occurs. The plastic deformation results in large decrease of the thermal conductivity on the low temperature side of the maximum. Dislocations of the order of 10
7 cm
−2 decrease the thermal conductivity to about 20% of that of an undeformed crystal, while the twin boundaries of the order of 10 cm
−1 decrease the conductivity to about 30%.
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Akio Kotani, Yutaka Toyozawa
1976 Volume 41 Issue 5 Pages
1699-1706
Published: November 15, 1976
Released on J-STAGE: June 01, 2007
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The spectrum of resonance Raman scattering is calculated for a system consisting of a localized electron and the lattice vibrations coupled weakly through quadratic interaction. Dynamics of relaxation process in the resonantly excited intermediate state is treated by means of the resolvent expansion method. The structures of successive terms in the expansion are analysed so as to clarify how the multiple phonon scatterings in the intermediate state breed the luminescence character of the spectrum. The whole spectrum consists of a term representing Rayleigh scattering, a term having both characters of Raman scattering and luminescence and terms representing luminescence, corresponding to zero-, one- and multi-step phonon scatterings, respectively. The relation to the phenomenological and stochastic-theoretical treatments of the same problem is discussed. Temperature-dependence of the line shape is calculated numerically for typical cases.
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Jimpei Harada, Haruo Suzuki, Sadao Hoshino
1976 Volume 41 Issue 5 Pages
1707-1715
Published: November 15, 1976
Released on J-STAGE: June 01, 2007
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Integrated intensities for the Bragg reflections of neutrons from CuBr single crystal with zincblende structure were measured at several temperatures. The experimental data both at room temperature and higher temperatures were interpreted consistently in terms of Matsubara’s representations for anharmonic Debye-Waller factor. The harmonic and cubic anharmonic potential parameters for each atom obtained by the least squares refinement are α
Cu=0.937, α
Br=1.49 (×10
−12 erg Å
−2) and β
Cu=1.00 (×10
−12 erg Å
−3). A discrepancy was found between the harmonic component of the mean square displacement of the Cu atom and that calculated from the phonon dispersion relation reported in Part I. In view of the lattice dynamical study by inelastic neutron scattering, the effects of the quartic anharmonicity which were ignored are considered to be included in the harmonic component determined in this analysis.
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B. C. Saha, Jayasri Chaudhuri, A. S. Ghosh
1976 Volume 41 Issue 5 Pages
1716-1723
Published: November 15, 1976
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An integral form of the close coupling equation has been employed investigate the high energy behaviour of the elastic and 2
s excitation cross sections of hydrogen atom by electron impact retaining the 1
s and 2
s states. The results, with and without exchange, for both the total and the differential cross sections are presented. The effects of exchange as well as of couplings to the 1
s-2
s states on the elastic cross section have been studied. The FBA results for the elastic cross section differ from the present results appreciably in the energy range 100 to 200 eV where FBA is considered to be valid. On the other hand, the present 1
s-2
s excitation results are very close to the corresponding FBA results in the said energy region.
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Shigeo Hayashi, Kozo Kuchitsu
1976 Volume 41 Issue 5 Pages
1724-1732
Published: November 15, 1976
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A multiple-scattering formulation is given for the elastic scattering of electrons by a molecule, which is expressed by a sum of one-center long-range potentials and multicenter short-range potentials. The scattering amplitude for each potential is expressed using the partial wave method, and tractable formulae are given for the cross sections.
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Naoshi Hishinuma
1976 Volume 41 Issue 5 Pages
1733-1738
Published: November 15, 1976
Released on J-STAGE: May 29, 2007
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The velocity dependence of the integral cross section for scattering of H atom by H
2 molecule was measured in the velocity range 1.62 to 5.76 km/sec. For detection of H atoms a ZnO single crystal was used, which showed high sensitivity and selectivity for H atoms. The experimental data were analyzed in terms of the three parameter exp (α, 6) potential, by combining the data with absolute integral cross sections measured by Gengenbach
et al. for D–H
2 scattering. The exp(12,6) potential (α=12, ε=1.78 meV,
Rm=3.52 Å) and the exp (13, 6) potential (α=13, ε=2.10 meV,
Rm=3.42 Å) reproduced the experimental results equally well (ε is the well depth and
Rm the location of the potential minimum). Further measurements at lower velocities were found to be essential for the unique determination of the parameters.
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Toshitaka Idehara, Mitsuyoshi Takeda, Yoshio Ishida
1976 Volume 41 Issue 5 Pages
1739-1744
Published: November 15, 1976
Released on J-STAGE: June 01, 2007
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The dispersion relation of Bernstein wave in an electron beam-plasma system is analyzed numerically. Electrostatic instability of the wave occurs as the result of interaction with a slow space charge wave or a slow cyclotron wave beam, while interactions with a fast space charge wave and a fast cyclotron wave of beam result in a strong damping of waves The behavior of the instability is investigated in detail as a function of plasma and beam parameters. It is shown that these are consistent with the previous experimental results.
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Shobu Kaneko, Yasuyuki Miyauchi
1976 Volume 41 Issue 5 Pages
1745-1748
Published: November 15, 1976
Released on J-STAGE: June 01, 2007
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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. The longitudinal magnetic fields
Bz inside and outside of the pinch are assumed to be opposite directions. The stability condition for the kink mode, some disturbances are stabilized and others are destabilized by reversing
Bz field. However, the stability condition for all kink disturbances does not change from that of the parallel-
Bz pinch. The necessary and sufficient condition for the stability of the Bennett pinch with reverse
Bz is same as the one for the parallel-
Bz pinch.
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Masafumi Kito, Toshihisa Honma
1976 Volume 41 Issue 5 Pages
1749-1756
Published: November 15, 1976
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In the toroidal coordinates, a stability analysis is presented for a toroidally symmetrical, sharp boundary plasma. The beta ratio β and aspect ratio,
Rp⁄
rp, are assumed to be arbitrary. In the equilibrium, the maximum poloidal beta ratio β
p is evaluated as Max β
p=1⁄2 (
Rp⁄
rp+1). For the kink mode, Curves of β vs a safety factor
q and curves of β
p vs β in the marginal stability are described for the several aspect rations. Both curves show that the stable region for a fat plasma is wider than for a slender one. The curve of β vs
q depends on the aspect ratio even at β=0, and the plasma is unstable for all values of
q, if a value of β exceeds a critical value.
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Kyoji Nishikawa, D. D. Ryutov
1976 Volume 41 Issue 5 Pages
1757-1765
Published: November 15, 1976
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The relaxation of kinetically unstable relativistic electron beam in plasma with random density inhomogeneities is studied. Their effect is treated as angular diffusion of resonantly excited Langmuir waves in the wavenumber space. Formulas effective for obtaining the beam energy deposition rate and the Langmuir-wave fluctuation spectrum are presented. The result shows a strong reduction of the energy relaxation rate due to diffusion of Langmuir waves from linearly unstable region to the region where they are damped by the beam itself. The model attributing the formation of random density inhomogeneities to the modulational instability of the Langmuir condensate produced by the beam plasma interaction is used to estimate self-consistently the level of inhomogeneities.
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Motomasa Fuse, Setsuo Ichimaru
1976 Volume 41 Issue 5 Pages
1766-1773
Published: November 15, 1976
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We consider a transverse component of a nonlinear current produced by coupling between longitudinal excitations in the plasma. The spectral and angular distribution of electromagnetic radiation arising from such a nonlinear current is calculated within the dipole approximation: the electromagnetic boundary conditions at the plasma-vacuum interface are explicitly taken into account. The intensity of such radiation depends strongly on the propagation characteristics of the transverse current in the plasma. As a specific example, radiation produced by coupling between the electron plasma oscillations and the ion-acoustic waves is considered.
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Naruyoshi Asano, Katsunobu Nishihara, Kazuhiro Nozaki, Tosiya Taniuti
1976 Volume 41 Issue 5 Pages
1774-1777
Published: November 15, 1976
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It is shown that when the thermonuclear reaction is weak, a thermonuclear reaction wave is governed by the modified Burgers equation with instability and the auxiliary equation which determines the density of high energy α particles. Using these simplified equations, we represent the ignition condition and the steady-state structure of the reaction wave, where the effect of finite α-particle range is included.
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Lokenath Debnath, Madhubala Agarwal, Madhabi Datta
1976 Volume 41 Issue 5 Pages
1778-1782
Published: November 15, 1976
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A study is made of the dynamic response of β-plane shallow ocean to arbitrary and special wind stress distributions acting at the free surface of the ocean. The integral solution for the free surface elevation of the three dimensional ocean model is obtained by using Laplace and generalized double Fourier transforms. Special attention is given to the dispersion relation and the ratio of the Coriolis frequency and the frequency of the applied disturbances. The barotropic response of the Indian Ocean to onset of the Southwest consoon is described. An asymptotic analysis is made for the free surface flows to determine the ultimate steady state solution. The principal features of the ultimate oceanic response with and without β-effect are discussed. It is shown that the β-effect has dominant influence on oceanic motions.
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Haruhiko Takada
1976 Volume 41 Issue 5 Pages
1783-1791
Published: November 15, 1976
Released on J-STAGE: June 01, 2007
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An investigation is made on the possibility of the application of Hess’ surface source model to the separated flow past bluff bodies. Satisfactory results are obtained for the case of a two-dimensional flat plate placed normal to the uniform stream. Hess’ theory is then extended to the case of and axisymmetric body with a disk nose. The application of this theory to the separated flow past a disk leads to somewhat less satisfactory results as compared to the normal flat plate. The most serious defect of the present theory is an appearance of an infinite velocity at the edge of the body.
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