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Yohko Awaya, Kazuhisa Matsuda, Noriyoshi Nakanishi, Shigeru Takeda, Ta ...
1969 Volume 27 Issue 5 Pages
1087-1093
Published: November 05, 1969
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The excited states in
91Zr have been studied by the inelastic proton scattering at 14.52 MeV. Angular distributions for the elastic scattering and for the sixteen excited states have been obtained. They have been analysed by the optical model and the distorted wave Born approximation calculations. The character of some excited states has been discussed on the basis of analysis.
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K. M. Khanna
1969 Volume 27 Issue 5 Pages
1093-1095
Published: November 05, 1969
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A realistic calculation of the normal-superfluid phase transition temperature of a dilute Bose system of hard spheres is presented. From the finiteness of the transition temperature it is concluded that such an assembly will be stable assembly.
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Shigeji Fujita
1969 Volume 27 Issue 5 Pages
1096-1104
Published: November 05, 1969
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The rigorous evolution equations for the one-body Green’s functions (
g>,
g<) describing an imperfect gas in a finite volume are not closed (an analogue of B–B–G–K–Y hierarchy for the many-body distribution functions). The analysis of these equations are made in terms of proper connected diagrams. It is shown that in the bulk limit:
N(particle number)→∞,
Ω(volume)→∞ such that
N⁄
Ω=constant, these equations can be reduced to the closed equations, which are however, non-linear and non-Markoffian, in contrast to the original hierarchy equations.
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Chikao Kawabata, Masuo Suzuki
1969 Volume 27 Issue 5 Pages
1105-1111
Published: November 05, 1969
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The partition functions of the finite Ising models of spin
S=1, 3/2, 2, 5/2 and 3 have been calculated by a high speed computer. The periodicity condition at the boundaries has been imposed, and only the nearest neighbor interaction has been assumed. The specific heats of these finite systems have been calculated as a function of temperature. The maxima of the specific heat increase proportionally to long
N in the two-dimensional Ising model with spin
S=1,
N being the number of lattice points, which indicates that the specific heat for the above lattice has a singularity such as
Cv⁄
k∼
Alog|
T−
Tc|+
B±:
A∼0.10 and
B−−
B+=0.24. The difference (
B+−
B−) has been estimated from the
asymmetric distribution of the zeros of the partition function in the complex temperature plane.
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Takehiko Oguchi, Takeshi Obokata
1969 Volume 27 Issue 5 Pages
1111-1116
Published: November 05, 1969
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The variation of the critical temperature (the Curie or Néel temperature) of a magnetic crystal randomly diluted with non-magnetic atoms is evaluated as a function of concentration
p of magnetic atoms by the effective Hamiltonian method based on the Ising and the Heisenberg models. The specific heat of Ising ferromagnet above the Curie temperature is calculated for various concentrations in order to see the existence of Schottky-type maximum. The critical index of susceptibility and the Curie temperature for diluted ferromagnet is also calculated using Padé approximation to check the idea that the lowering of the Curie temperature with the decrease of
p is attributed to the decrease of effective dimensionality of ferromagnetic system.
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Kenji K. Kobayashi
1969 Volume 27 Issue 5 Pages
1116-1121
Published: November 05, 1969
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The dynamical aspects of non-polar classical liquids are investigated by extending the Kirkwood’s static treatment of the fusion to the dynamical one in a manner quite analogous to the Landau-Vlasov’s formulation of the plasma oscillation.
The phonon-like collective modes are obtained in the collisionless regime of which velocity is quite different from that of the ordinary sound waves in classical liquids. The dynamical behaviour of liquids near the freezing point is also considered and a non-propagating mode with a critical wave number
kc somewhat similar to the entropy fluctuation mode is obtained.
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Takasu Hashimoto, Masuhiro Yamaguchi
1969 Volume 27 Issue 5 Pages
1121-1126
Published: November 05, 1969
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Cr
7Te
8 exhibits two types of crystal structure according to the difference of thermal treatment; one is the ordered and the other is the disordered arrangements of the vacancies among the successive Cr layers. The saturation moments and the magnetic susceptibilities of both structures are measured in the temperature range from 77°K to 1000°K. It is observed that the magnetic properties depend largely on the arrangements of the vacancies. In addition, at 4.2°K two nuclear magnetic resonance absorption lines are observed at 45.1 and 58.2 MHz in the ordered samples whereas a very broad absorption line is observed in the disordered samples. These absorption lines may be considered as Cr
53-signals from the measurements in the external magnetic field. It seems that these magnetic and NMR data are interpreted by the ionic model, though the interpretation includes some degree of incompleteness.
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Takeshi Shinohara
1969 Volume 27 Issue 5 Pages
1127-1135
Published: November 05, 1969
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Spin echoes and their external magnetic field effects have been observed on Heusler alloys, Cu
2MnAl, Cu
2MnIn and Cu
2MnSn at 4.2°K. The sign of the internal magnetic field at nuclei of the constituent elements has been determined to be negative, and on the basis of the R–K–K–Y interaction semiquantitative agreement between calculated and observed internal magnetic fields has been obtained in Cu
2MnAl, Cu
2MnIn and Cu
2MnSn. The spectra for Cu, Mn and Sn in Cu
2MnSn, In in Cu
2MnIn and Al in Cu
2MnAl have been observed for the first time.
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B. V. R. Chowdari
1969 Volume 27 Issue 5 Pages
1135-1140
Published: November 05, 1969
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The electron spin resonance spectrum of the vanadyl ion (VO
2+) is studied in single crystals of (NH
4)
2Zn
2(SO
4)
3, at room temperature and in the 9.4 KMc/s microwave frequency range. The V–O axes are found to have four possible orientations giving rise to four magnetic complexes. The V–O axes of two magnetic complexes lies in the (\bar110) plane while the axes of the other two complexes lies in the plane perpendicular to (\bar110). The populations in the four possible orientations are in the ratio 4:1:4:1. The complexes with the identical populations are equivalent but for the change in the relative directions of their axes, and hence the four magnetic complexes form into two groups. Futhermore, the vanadyl hyperfine lines show an additional anisotropic structure of five lines which is apparently due to the superhyperfine interaction of the unpaired spins of the transition metal ion, with some of the protons of the surrounding (NH
4)
+ molecules. All the spectra have been analysed using the spin-Hamiltonian corresponding to rhombic symmetry and the spin-Hamiltonian parameters are presented.
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Takejiro Kaneko, Minoru Matsumoto
1969 Volume 27 Issue 5 Pages
1141-1143
Published: November 05, 1969
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The results of measurement of thermal expansion and specific heat are presented for the ferromagnetic compound Au
4Mn in the temperature range from room temperature to 430°K which includes the Curie point of this compound (
Tc=371°K). Anomalous specific heat at the Curie point is estimated to be
ΔCp=1 cal/mol·deg. Anomalous thermal expansion is found to be anisotropic,
Δa⁄
a<0 and
Δc⁄
c>0. These results are discussed in connection with the pressure effect to the magnetization and the Curie point.
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Toshizo Fujita, Atsuko Ito, Kazuo Ôno
1969 Volume 27 Issue 5 Pages
1143-1149
Published: November 05, 1969
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The Mössbauer measurements on the ferrous ion in FeBr
2, CoCl
2 and NiCl
2 are presented. Various interaction parameters are estimated from the observed spectra. The effect of anion change on the ferrous ion is discussed, comparing the results on FeBr
2 with those on FeCl
2 and FeI
2 reported previously. The spectra observed below the Néel temperature show that the ferrous spin in CoCl
2 is forced to lie in the
c plane, whereas that in NiCl
2 orients along the
c axis which is the direction preferred by the ferrous spin. These can be interpreted in terms of the difference in anisotropy energy of the host spins.
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Hiroshi Nagasawa, Nobuhiko Sakai
1969 Volume 27 Issue 5 Pages
1150-1152
Published: November 05, 1969
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By Mössbauer measurement of enriched Fe
57 in Nb
.3Mo
.7 alloys at high field at 4.2°K and 120°K, the existence of the nonmagnetic Fe impurity in Nb–Mo alloys was observed and from the composition dependence of the effective moment of Fe impurity, it was found that the Fe impurity has a localized moment when it has at least 7 Mo nearest neighbours.
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Jiro Yamashita, Shinya Wakoh, Setsuro Asano
1969 Volume 27 Issue 5 Pages
1153-1158
Published: November 05, 1969
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The band structures of b.c.c. Na, b.c.c. K and f.c.c. K in highly compressed states are evaluated by A.P.W. method. The Fermi surface of Na is approximately spherically symmetric even when the volume is reduced to 0.2 of the normal state. On the other hand, the Fermi surface of K changes from a sphere at the normal volume to complicated
d-like surfaces with increasing pressure. The observed volume change in resistivity of Na and K would have a deep connection with the volume change of the Fermi surface.
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Kazuko Inoue, Yoji Nakamura, Nobuhiko Kunitomi
1969 Volume 27 Issue 5 Pages
1159-1164
Published: November 05, 1969
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The electrical resistivity and the magnetic susceptibility of Au–Cr alloys with high concentration of chromium up to 26 atomic percent have been measured from 4 to 1000°K. The electrical resistivity shows no sharp anomaly but a broad peak above the Néel temperature. In the paramagnetic region, the resistivity decreases with increasing temperature. In order to analyze this anomalous temperature dependence of the resistivity, the magnetic part of the resistivity was estimated by subtracting the resistivity of gold as a phonon contribution from the observed one. It was found that the magnetic resistivity is proportional to −
clog
T, where
c is the chromium concentration and
T the temperature. This result seems to be explaind by an extended Kondo effect. On the other hand, a modification of Blatt’s theory is also discussed to explain the decrease of the resistivity.
A similar decrease in the resistivity with temperature in several noble metal alloys with high concentration of 3
d metals and in other alloys containing magnetic atoms with high concentration is also described.
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S. T. Kshirsagar
1969 Volume 27 Issue 5 Pages
1164-1170
Published: November 05, 1969
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Electrical and crystallographic properties of the system Cu
xNi
1−xMn
2O
4 have been studied. The negative deviation of lattice parameters from Vegard’s linearity rule indicates that CuMn
2O
4 is a normal cubic spinel. The electrical resistivity temperature-behaviour obeys the relation (
Remark: Graphics omitted.), and the value of activation energy (
ΔE) for conduction in NiMn
2O
4 remains constant even after addition of 50 mole percent CuMn
2O
4. The thermoelectric power of NiMn
2O
4 changes sign from negative to positive by an addition of 20 mole percent CuMn
2O
4. It is concluded that in CuMn
2O
4 the Cu is present predominantly in Cu
2+ valence state along with a small number of Cu
1+ ions at tetrahedral sites. The electrical conduction in this system seems to take place through hopping of charge carriers between Mn
3+ and Mn
4+ ions at octahedral sites. A contribution to electrical conduction from tetrahedrally located Cu
2+ and Cu
1+ ions has also been considered.
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Kêitsiro Aizu
1969 Volume 27 Issue 5 Pages
1171-1178
Published: November 05, 1969
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In a recent paper, “ferroelasticity” has been defined on the analogy of “ferroelectricity,” mechanical strain and stress in the former corresponding to electric polarization and field in the latter. Just as “antiferroelectricity” is associated with “ferroelectricity,” so is “antiferroelasticity” associated with “ferroelasticity.” It is considered that antiferroelastic crystals are possible. For the purpose of grasping them conceptually and knowing their characteristics and also for the purpose of understanding more deeply ferroelectricity and antiferroelectricity, this paper presents and thermodynamically investigates some model crystals which are antiferroelastic as well as paraelectric, ferroelectric, or antiferroelectric.
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S. C. Jain, S. Radhakrishna, K. S. K. Sai
1969 Volume 27 Issue 5 Pages
1179-1184
Published: November 05, 1969
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The peak position and half-widths of the bands characteristic of lead impurity in four alkali halides, NaCl, KCl, KBr and KI, are reported. Ionic conductivity studies have been made in the temperature range 150–600°C in the four alkali halides doped with Pb. The values of the energy of association of Pb
++ with a cation vacancy is ∼0.28 eV.
The growth rate of F-centers in X-irradiated crystals is found to be slower in all lead doped crystals. On additive or electrolytic coloration the lead band (characterised as the A band) disappears and an intense broad (half-width 2.5 eV) ultraviolet band, besides the F band, is observed. Quenching from temperatures greater than 500°C bleaches the F band and the UV band and a new band peaking at 240–265 nm with half-width 1.4∼1.5 eV is observed in four alkali halides. Preliminary EPR measurements did not show any influence of the lead bands on the EPR results.
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Fumiko Nakazawa, Hiroshi Kanzaki
1969 Volume 27 Issue 5 Pages
1184-1191
Published: November 05, 1969
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Hall mobility of photoelectrons in zone refined and additively colored KCl single crystals is found to be so high as 2×10
4 cm
2/volt·sec at 4.2°K and to decrease in proportion to
E−0.5 beyond a critical electric field. Corresponding to the mobility decrease, photocurrent is proportional to
E0.5 beyond the critical field. Dominant scattering centers at low electric field are concluded to be charged impurities rather than
F centers by measurements of Hall effect and magnetoresistance. Polaron transport in KCl crystal is interpreted fairly well by the usual transport theory including hot electron theory. However, two important difficulties become noticeable in applying the usual theory. First, the trapping lifetime of electron is shorter than the scattering time. Secondly, photocurrent saturation is not observed even under very high electric field at which drift velocity of electron is much higher than the thermal velocity and emission of optical phonon is expected to occur appreciably.
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Taiju Tsuboi, Riso Kato
1969 Volume 27 Issue 5 Pages
1192-1196
Published: November 05, 1969
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Absorption spectra of the B bands in alkali halide-thallium crystals have been investigated over the temperature range from 10°K to 300°K in KI–Tl, KBr–Tl and KCl–Tl. The integrated absorption intensities of the bands can be fitted well by coth (
hν
q⁄2 kT) law which is derived from the theory of the vibration-assisted absorption. Correlation between absorption intensities of the B and C bands with the variation of temperature was found, and it is concluded that the absorption intensity of the B band is supplied from the C band.
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Hiroshi Kodera
1969 Volume 27 Issue 5 Pages
1197-1203
Published: November 05, 1969
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Electron spin resonance experiments on phosphorus doped silicon were carried out at liquid helium temperature in order to know the origin of the absorption line observed at the center of the hyperfine structure. The shape of the central line was Lorentzian. The line width showed minimum against the phosphorus concentration, while the
g-value was constant. Resonance behaviors of the central line were different in following respects from those of hyperfine lines; (1)
g-value, (2) concentration dependence of line width, (3) line shape, and (4) saturation behavior. These results were discussed in connection with the electrical conduction and temperature dependence of resonance parameters. A tentative model was proposed that the central line was assigned to the free electron in impurity clusters formed through the local enhancement of impurity concentration.
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Toshimasa Tomoda, Michi-hiko Mannami
1969 Volume 27 Issue 5 Pages
1204-1207
Published: November 05, 1969
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Characteristic electron energy loss spectra of some II–VI compounds, ZnS, ZnSe, ZnTe, CdS and CdSe, were measured up to about 25 eV by transmission of 40 keV electrons and compared with the energy loss function −Im[ε(ω)
−1] calculated from optical measurements. Good agreements between them were found in the peaks from 0 eV to about 13 eV.
Some of the characteristic energy losses were explained; losses at about 11∼12 eV are due to the excitations of the valence electron plasmons, those at about 14 eV and those at about 17 eV are due to the excitations of cation
d electrons and of anion
s electrons respectively.
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Katsuo Suzuki, Nobuo Mikoshiba
1969 Volume 27 Issue 5 Pages
1207-1211
Published: November 05, 1969
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A theory is given for the spin-phonon interaction in Li-doped Si, where Li donors have an “inverted” Group-V-like ground state. It is shown that the Hasegawa-Roth mechanism of spin-phonon interaction for the “normal” Group-V-like ground state is too small to explain the ultrasonic spin resonance (USR) observed by Wigmore. The spin-phonon interaction via the impurity spin-orbit coupling gives rise to a sufficiently strong attenuation of ultrasonic waves in qualitative agreement with the experiment of USR. It is pointed out that the complicated structure observed in USR is due to the effect of random strains in the crystal.
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Tomoyoshi Kamikawa, Kunio Ozawa
1969 Volume 27 Issue 5 Pages
1212-1216
Published: November 05, 1969
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Single crystals of lithium fluoride have been irradiated with deuterons or protons at liquid nitrogen temperature. In absorption spectra of the crystals immediately after irradiation, a band is observed at 542 nm in addition to the
F and
M bands. This band has an almost constant intensity during warming from LNT to RT. It is obscured by the other overlapping bands when the crystal is heated about 100°C or when this is aged at RT for a long time. The nature of this band is examined in connection with the so-called
N2 band, Farge’s
I band and Vander Lugt’s
Nc band. The following relation is believed to be most plausible: The observed absorption band is identified with the
I band. The
N2 band is identified with the
Nc band but may not be identified with the
I band.
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Ryozo Yoshizaki, Takeshi Kamiya, Shoji Tanaka
1969 Volume 27 Issue 5 Pages
1216-1228
Published: November 05, 1969
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A resonance type third harmonic generation (THG) in a magnetic field is observed in
n-type silicon under illumination at liquid helium temperatures as in the case of
n-type germanium (T. Kamiya
et al.: J. Phys. Soc. Japan
27 (1969) 679). A photo-response of the THG is investigated in detail, and the THG shows complicated decay below 2°K after the illumination. This shows that the resonance type THG arises from the multiphoton resonance of electrons in very shallow trapping states. A phenomenological analysis of the complicated dacay is made based on a model, in which there are two series of energy levels in the trapping center, and the thermal ionization energies are obtained to be 0.63±0.13 meV and 0.42±0.07 meV for each ground state. This result seems to indicate that the observed trapping center is attributed to the donor negative ion (D
−). Another experiment on thermally stimulated current (TSC) in
n-type silicon is carried out below 1°K, and the depth of the trapping state obtained is almost the same as that observed in the THG experiment.
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L. C. Gupta
1969 Volume 27 Issue 5 Pages
1229-1234
Published: November 05, 1969
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Quadrupole coupling parameters of As
75 and Cs
133 have been studied in a single crystal of CsH
2AsO
4 (ferroelectric Curie point
Tc=143°K). As
75 resonance could not be observed below 153°K. The temperature coefficient of As
75 quadrupole coupling constant exhibits an anomalous behaviour. Cs
133 resonance was seen in the ferroelectric phase also. The average of the two EFG tensors corresponding to the two physically nonequivalent Cs-sites in the ferroelectric state is exactly equal to the EFG tensor in paraelectric phase. The EFG tensors in ferroelectric phase are diagonal in the crystal-fixed
x(
a),
y(
b) and
z(
c) frame of reference and therefore no further splitting was observed due to domain effects. These results have been discussed using the dynamic model of ferroelectricity of KH
2PO
4-type crystals in which proton tunneling motion is coupled with optical mode of [K–PO
4] lattice vibration.
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Kazuo Saito
1969 Volume 27 Issue 5 Pages
1234-1245
Published: November 05, 1969
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Deformation twinning in a Cu-4% Ti alloy was studied on polycrystalline specimens age-hardened by the formation of a modulated structure. The twinning stress in the hardest specimen was found to decrease with raising the deformation temperature from −40°C to 250°C.
Thin foil observations revealed that the number of twins increased as the deformation increased and in several cases two sets of twins intersected each other, creating a secondary twin inside the intersected twin.
A dislocation model for twinning is proposed to interpret the temperature dependence of the twinning stress observed in the present alloy. Behaviors of intersection between twin and twin or slip dislocations are discussed in terms of the dislocation reactions at the twin boundaries.
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Toshio Okabe, Katsuhiko Hasebe, Michi-hiko Mannami
1969 Volume 27 Issue 5 Pages
1245-1253
Published: November 05, 1969
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Theoretical formulation of diffuse scattering of electrons by defect in crystal based on the perturbation calculation is presented. This formulation is applied to the diffuse streaks in the electron diffraction patterns from the Guinier-preston zone in Al–Cu alloy. As the result of the analysis, a model of the Guinier-Preston zone in Al–Cu alloy is proposed.
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Hisatake Sano, Kazuo Ohtaka, Yoshi-Hiko Ohtsuki
1969 Volume 27 Issue 5 Pages
1254-1261
Published: November 05, 1969
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The normal and the abnormal absorption coefficients of X-rays due to the Compton scattering and the thermal diffuse scattering (TDS) are calculated numerically by taking into account the temperature effect. It is found that effects of both scatterings are comparable for light atoms such as Al and Si, and that the effect of the latter is larger than the former for heavier atoms.
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Shunsuke Hara
1969 Volume 27 Issue 5 Pages
1262-1267
Published: November 05, 1969
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The adiabatic polarization potential in the system of a hydrogen molecule and an electron is calculated by a variation perturbation method in two-center prolate spheroidal coordinates. In this calculation, a 16-term James-Coolidge type wave function is used for obtaining the dipole contribution to the potential. This is the first detailed calculation of the polarization potential of a diatomic molecule in two-center coordinates.
The asymptotic forms of the dipole polarization potential in the direction parallel and perpendicular to the molecular axis are −5.975⁄5
r4 and −4.359⁄2
r4 in atomic units, respectively. The numerators of these asymptotic forms are to be compared with the exact values of the dipole polarizabilities 6.38049 and 4.55769 a. u. obtained by Kolos and Wolniewicz.
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Kenji Kasai
1969 Volume 27 Issue 5 Pages
1268-1274
Published: November 05, 1969
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Piezoelectric effect has been observed by a number of investigators in the uniaxially orientated helical polymers, in which the piezoelectric polarization appears perpendicular to the shearing plane. To explain this, the piezoelectric polarization is theoretically treated for a distorted helical polymer chain with effective charges or dipole moments on the main chain. The piezoelectric effect occur only in an optical shear mode of lattice vibration along the helical axis. As examples, the piezoelectric polarization is calculated in polyoxymethylene-type helical chain and quasi-polypeptide-type one.
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Yasunobu Seno
1969 Volume 27 Issue 5 Pages
1274-1292
Published: November 05, 1969
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The wave function of the ground
6A
1 state of the complex FeF
63− has been calculated in the Heitler-London scheme with configuration interactions. Our basic configurations are constructed from the eigenfunctions of free ions (Fe
3+, Fe
2+, Fe
−) and of free atom F. The Hamiltonian matrix elements have been calculated according to the method of “Atoms in Molecules”, where the empirical atomic energies are inserted appropriately into the matrix elements. As the large ionization energy of Fe
2+ ion (30.64 eV) decreases the excitation energies of the charge transfer configurations, the polarization energy associated with electron transfer becomes a relatively important factor. We have checked the ground state wave function by comparing the calculated hyperfine spin densities and the crystal field splitting parameter 10
Dq with the experimental data. Satisfactory agreements between the calculated and observed quantities have been obtained. Some qualitative discussions on the quartet states are also given.
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Yukikazu Itikawa, Kazuo Takayanagi
1969 Volume 27 Issue 5 Pages
1293-1300
Published: November 05, 1969
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The cross section for the vibrational excitation
v=0→1 of CO by slow-electron collisions is calculated using the close-coupling method. First, only the dipole interaction is considered to give rise to the vibrational transition and the result is compared with the Born calculation; it is found that the Born approximation gives a rather poor result in the present case. Next, the polarization effect of the molecule is taken into account. The contribution from the polarization term is shown to be comparable to that from the dipole interaction. Finally, the excitation cross section is evaluated by including both the dipole and the polarization interactions, and a comparison is made with experimental data.
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Mitsuhiko Kodaira, Tsutomu Watanabe
1969 Volume 27 Issue 5 Pages
1301-1309
Published: November 05, 1969
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The cross sections for 2
3S and 2
3P excitation transfer processes between He atoms are calculated by the perturbed stationary state method. The potential energy curves for He(1
1S)+He
*(2
3P) and He(1
1S)+He
*(2
3S) systems are obtained by the Heitler-London method taking the configuration interaction between them into account. The calculation involves the transfer, the diffusion and the total elastic cross sections. The results show that the transfer cross section for 2
3P is 15∼23π
a02 at thermal energy and larger than that for 2
3S. The transfer cross section for 2
3S does not so much differ from the calculation using rigorous potentials by Kolker and Michels [J. chem. Phys.
50 (1969) 1762].
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Makoto Natori
1969 Volume 27 Issue 5 Pages
1309-1319
Published: November 05, 1969
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The tetrahedron model in the previous papers is used for the electron binding in water and in ice crystal. The wave function of the hydrated electron is refined and orthogonalized to the wave functions of the neighbouring water molecules. The energy levels, the oscillator strength, the ESR hyperfine splitting constant and the ESR line width have been calculated. The agreement with the experimental data is satisfactory. The shape of the water molecule and the size of the tetrahedron in liquid water are considered to be different from those in ice crystal. The broadness of the optical absorption spectrum and the dependence of the peak of the spectrum on temperature and pressure are also explained by this model.
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Ryuzo Koyama
1969 Volume 27 Issue 5 Pages
1319-1324
Published: November 05, 1969
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The light scattering by chain polymers with excluded volume effect is calculated approximately, by assuming the same expansion coefficients of polymer subchains with those used in the previous excluded volume theory.
The scattering function obtained which represents the angular distribution of scattered light intensity is a decreasing function of the molecular expansion coefficient α.
This function contains an adjustable parameter μ
0 which determines the expansion coefficient of adjacent segments-distance. When this is put as μ
0=2, the scattering function coincides with that of Debye, and Zimm and others for uniformly expanded random coil chain, and in the other extreme case where μ
0=0, the result is qualitatively equivalent to the previous calculation for non uniformly expanded random coil. Also when the value μ
0=4⁄3∼3⁄2 which is obtained from the excluded volume theory is substituted, the result is closer to former one for uniformly expanded random coil.
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Kenro Miyamoto
1969 Volume 27 Issue 5 Pages
1325-1330
Published: November 05, 1969
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Magnetic surfaces and drift surfaces of single charged particle of an average min. B stellarator field proposed by Taylor are analysed by using an average method. The dependency of the well depth and the rotational transform angle on the parameters of the field configuration is examined. The deviation of the drift surfaces of untrapped particles from the magnetic surfaces is studied and it is derived that the deviation is approximately equal to the deformation of the magnetic surface due to the application of an equivalent vertical field.
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Takuji Kawahara
1969 Volume 27 Issue 5 Pages
1331-1340
Published: November 05, 1969
Released on J-STAGE: June 01, 2007
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Hydromagnetic waves of small but finite amplitude propagating at an arbitrary angle to a magnetic field in a collision-free plasma with isothermal electron pressure are investigated on the basis of a nonlinear perturbation method.
It is shown that in the lowest order of perturbation the system of the basic equations can be reduced to two types of the Korteweg-de Vries equations which describe the fast and slow magneto-acoustic waves. Another nonlinear dispersive equation can be obtained for the Alfvén wave. The effect of the isothermal electron pressure on the structure of the waves is discussed in detail. Necessary conditions for the existence of the solitary waves in the plasma under consideration are also given.
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Tsuguhiro Watanabe
1969 Volume 27 Issue 5 Pages
1341-1350
Published: November 05, 1969
Released on J-STAGE: June 01, 2007
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The nonlinear development of the two-stream instability in a system of two electron beams with finite temperature is investigated by a perturbation method using macroscopic plasma equations. The equation for the change of amplitude is obtained and shown to be reduced to a nonlinear Schrödinger equation. From this equation it is shown that
(1) a range of wavenumbers exists for which the nonlinearity suppresses the instability before the onset of overtaking and after reaching the limiting amplitude the wave begins to decay.
(2) and that a modulational instability is possible.
The analytical results are compared with direct computer solutions which support the theory.
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Akira Yoshizawa
1969 Volume 27 Issue 5 Pages
1350-1355
Published: November 05, 1969
Released on J-STAGE: June 01, 2007
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A model flow is studied in order to investigate the nature of the viscous flow near the trailing edge of a flat plate: in the middle of a moving channel with constant velocity, which is filled with viscous fluid, a semi-infinite flat plate at rest extends to upstream infinity, and the flow tends to the Couette flow upstream. The model seems to have such features as the viscous flow past a finite flat plate does near the trailing edge.
Analytical and numerical solutions are obtained at low and moderate Reynolds numbers, respectively, and it is concluded that the trailing edge is a singular point in the flow field,
i. e.,
Cf∼
Ax1−1⁄2 as
x1→0,
where
Cf is the local skin-friction coefficient,
A a certain function of the Reynolds number and
x1 the distance measured along the flat plate from the trailing edge.
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Tomiei Hori
1969 Volume 27 Issue 5 Pages
1356
Published: November 05, 1969
Released on J-STAGE: May 29, 2007
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J. P. Riley, C. C. Chen, S. Fujita
1969 Volume 27 Issue 5 Pages
1357-1358
Published: November 05, 1969
Released on J-STAGE: May 29, 2007
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Eiji Narita, Takashi Suzuki, Eiji Hirahara
1969 Volume 27 Issue 5 Pages
1358-1359
Published: November 05, 1969
Released on J-STAGE: May 29, 2007
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Takashi Oono, Junkichi Itoh
1969 Volume 27 Issue 5 Pages
1359
Published: November 05, 1969
Released on J-STAGE: May 29, 2007
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Koichi Katsumata, Muneyuki Date
1969 Volume 27 Issue 5 Pages
1360
Published: November 05, 1969
Released on J-STAGE: May 29, 2007
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Kôki Ikeda, Takurô Nakamichi, Mikio Yamamoto
1969 Volume 27 Issue 5 Pages
1361
Published: November 05, 1969
Released on J-STAGE: May 29, 2007
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Kiyohito Okamura
1969 Volume 27 Issue 5 Pages
1362
Published: November 05, 1969
Released on J-STAGE: May 29, 2007
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Saburo Nasu, Michitaka Nishio, Yutaka Tsuchida, Yotaro Murakami, Teruy ...
1969 Volume 27 Issue 5 Pages
1363
Published: November 05, 1969
Released on J-STAGE: June 01, 2007
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Kazuo Murase, Keisuke Kobayashi, Eizo Otsuka
1969 Volume 27 Issue 5 Pages
1364
Published: November 05, 1969
Released on J-STAGE: May 29, 2007
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Tadashi Kobayashi, Mitsuo Ida, Shuji Kawada
1969 Volume 27 Issue 5 Pages
1365
Published: November 05, 1969
Released on J-STAGE: May 29, 2007
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Hideyuki Okinaka, Koichi Nagasawa, Koji Kosuge, Yoshichika Bando, Tosh ...
1969 Volume 27 Issue 5 Pages
1366-1367
Published: November 05, 1969
Released on J-STAGE: May 29, 2007
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