-
Yasuhiko Okuma
1968 Volume 25 Issue 1 Pages
1-13
Published: July 05, 1968
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The excitation curves of the differential cross section at a center-of-mass angle of 90° for the transfer reactions,
10B(
16O,
15O)
11B,
10B(
16O,
15N)
11C,
10B(
16O,
14N)
12C,
10B(
16O,
17O)
9B,
10B(
16O,
17F)
9Be,
10B(
16O,
20Ne)
6Li,
11B(
16O,
15N)
12C,
11B(
16O,
14N)
13C,
11B(
16O,
17O)
10B,
11B(
16O,
18F)
9Be and
11B(
16O,
20Ne)
7Li, leaving the reaction products in their ground states, were investigated by using the oxygen ions accelerated in the Kyoto University tandem accelerator. Measurements have been made for energies near and above the Coulomb barrier appropriate to the
16O+
10B and
16O+
11B colliding systems. To distinguish these reactions from other events, the two product particles were identified by means of the two-detector fast-slow type coincidence system. The single-nucleon transfers show smooth energy dependence and the multi-nucleon transfers exhibit complicated energy dependence. The smooth excitation curves increase sharply with energy around the Coulomb barrier and level off at energies just barely touching. The differential cross sections are strongly
Q dependent. The cross sections for pick-up transfers are about 2.3 times as large on an average for
10B as for
11B. The transfer-reaction data are compared with the predictions of the tunneling theory, and good agreement was found for the initial rise of the smooth excitation curves.
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Isao Kumabe, Hiroshi Ogata, Tong-Hyuk Kim, Makoto Inoue, Yasuhiko Okum ...
1968 Volume 25 Issue 1 Pages
14-20
Published: July 05, 1968
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The angular distributions of alpha particles elastically and inelastically scattered by
116Sn,
117Sn,
118Sn,
119Sn and
120Sn have been measured at 34.4 MeV. The angular distributions of the prominent groups corresponding to the quadrupole and octupole excitations were fitted with the results of DWBA predictions. In these calculations Coulomb excitation was found to be important for these nuclei. The extracted deformation parameters β
2 and β
3 for the even tin isotopes are in good agreement with those obtained by other workers. Both the shapes and magnitudes of the angular distributions of the groups corresponding to the quadrupole and octupole excitations for the odd-mass tin isotopes were found to be very similar to those for the even tin isotopes. Possible hexadecapole excitations are discussed.
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Tetsumi Tanabe
1968 Volume 25 Issue 1 Pages
21-36
Published: July 05, 1968
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The
D(α,
pα)
n and
D(
d,
pd)
n reactions were studied by using 29.2 MeV alpha particles and 14.6 MeV deuterons respectively. Coincidence energy spectra of two charged particles emitted from each reaction were measured at coplanar and non-coplaner angles. The energy spectra of the
D(α,
pα)
n reaction indicate the effect of the resonance between nucleons and alpha particles corresponding to the He
5 and Li
5 ground state and show at some angles broad peaks for spectator neutrons with zero energy. The energy spectrum of the
D(
d,
pd)
n reaction shows only one broad peak for spectator neutrons. The impulse approximation calculations represent fairly well both the energy spectra and the angular dependence. It is concluded that the deuteron breakup mechanism is to occur through the quasi-free scattering of an incident particle from a nucleon in the deuteron.
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Kazuhiko Hosono
1968 Volume 25 Issue 1 Pages
36-51
Published: July 05, 1968
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High resolution studies of the (
d,
p) reaction on C
12 at 14.6 MeV, O
16 at 14.3 MeV and Mg
24 at 12.3 MeV were performed. The C
12(
d,
p)C
13 reaction leading to the ground and the 3.68 MeV states was also investigated from 14.7 MeV down to 12.3 MeV. Some transitions which cannot be explained by simple stripping process were observed. Most of angular distributions of protons from the
j-forbidden stripping reaction showed a structureless pattern and the cross section was 10∼30% of that of simple stripping process. Simple PWBA analyses based on the two step process and on the knock out process were made and a possibility of the two step process is suggested. The structure of some excited states is discussed in connection with the reaction mechanism.
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Toshio Katoh
1968 Volume 25 Issue 1 Pages
51-53
Published: July 05, 1968
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Decay of Hf
179m was investigated by a well type scintillation counter. Half-lives of peaks which were seen in sum spectra were determined as 19±2 sec. The
K internal conversion coefficient of the 161 keV transition was also determined as 17±2.
E4 mixing ratio to the
M3 component was, therefore, 0.14±0.14.
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Syu Ono, Yukihiko Karaki, Masuo Suzuki, Chikao Kawabata
1968 Volume 25 Issue 1 Pages
54-59
Published: July 05, 1968
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The partition function of a three-dimensional Ising model was calculated by a high-speed computer for a cubic array of twenty-seven points. The periodicity condition was imposed. The specific heat of the 3×3×3 lattice was calculated as a function of temperature. The critical temperature estimated from the specific heat curve seems slightly lower that obtained from the Padé approximation. The zeros of the partition function of the complex temperature plane were also obtained. The critical temperature estimated from the zeros near the positive real axis seems slightly higher than both of the above values. Similar calculations were carried out for the case of the two-dimensional Ising model. Several results are compared with those obtained from Onsager’s exact solution.
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Shigetoshi Katsura, Tsuyoshi Horiguchi
1968 Volume 25 Issue 1 Pages
60-72
Published: July 05, 1968
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A method of two-time Green function for the Heisenberg model of ferromagnet of
S=1⁄2 is developed. The equations of motion of two kinds of Green functions
G(−) and
G(+), which are defined using commutator and anticommutator, respectively, are derived. Higher order Green functions are decoupled taking into account the anticommutability of Pauli operators at the same lattice site, giving coupled equations for
G(−) and
G(+). The solution from
G(+) are analyzed. The effect of the kinematical interaction is considered automatically, and over-all (in the entire temperature region and in the entire magnetic field region) good properties of the magnetization (which are not realized in some previous works using the first-order decoupling) are obtained. Inverse Curie temperature,
Jβ
c, is 0.398 and the critical index of the magnetization is 1/2. Several previous theories of the first-order are rederived and analyzed from a unified point of view.
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Nobuo Mori
1968 Volume 25 Issue 1 Pages
72-76
Published: July 05, 1968
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The formula of the paramagnetic susceptibility for metals given by Kubo and Obata in the tight binding approximation is extended so as to include the effect of a molecular field, and by making use of this formula the paramagnetic susceptibilities of Ni, Pd and Pt metals are calculated, on the basis of the energy bands given by Friedel
et al. The calculated results agree with the experimental results qualitatively, by adopting the reasonable values of the molecular field coefficient. In the paramagnetic susceptibilities for Pd and Pt metals the mixed contribution χ
so due to the spin and the orbital angular momentums plays an important role, but in Ni metals this contribution is negligibly small.
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Takurô Nakamicmi, Yoshihira Aoki, Mikio Yamamoto
1968 Volume 25 Issue 1 Pages
77-81
Published: July 05, 1968
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It has been confirmed by X-ray diffraction and magnetic studies that a cubic Laves phase Co
2Ti exists in a composition range of less than one atomic percent around the stoichiometric composition. Magnetic measurements, made in the temperature range from 4.2° to 800°K, indicates that this cubic Laves phase compound is antiferromagnetic with the Néel temperature of 43°K. The reciprocal magnetic susceptibility vs. temperature curve in the paramagnetic state is strongly concave towards the temperature axis. The curve is described by a modified Curie-Weiss law, in which the effective magnetic moment of the cobalt atom is 0.45μ
B.
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Nobuo Môri, Tadayasu Mitsui
1968 Volume 25 Issue 1 Pages
82-88
Published: July 05, 1968
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The dependence of magnetic moments localized at manganese atomic site on crystalline environment is discussed by using the concept of the Pauling valence which is defined by the relation between the atomic radius and the interatomic distance from neighbouring atoms. The linearlity of the magnitude of magnetic moments and the Pauling valence at individual manganese atomic site is found. It is concluded that the localized magnetic moment is mainly affected by kinds of nearest neighbour atoms and the coordination number. From this result, it is suggested that the covalency effect plays an important role in determining the magnitude of the magnetic moment assosiated with the manganese atomic site. Magnetic moments in σ-phase Fe–V alloys whose crystal structure is similar to that of α-Mn are also discussed.
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Hiromitsu Ino, Takeshi Moriya, F. Eiichi Fujita, Yutaka Maeda, Yutaka ...
1968 Volume 25 Issue 1 Pages
88-99
Published: July 05, 1968
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The Mössbauer effect of
57Fe in the iron-carbon martensite steels was measured during their tempering process, and the appearance of the ε-, χ- and cementite phases and the bonding nature in them were studied. It was clarified that the χ-carbide is formed at the tempering stage III a, the formation of which had not been fully proved in previous X-ray or magnetic measurements.
It was also concluded that the electronic states of the iron atoms co-ordinating the carbon atoms in the martensite and the ε-carbide formed in the stage I are substantially the same, suggesting that the motive force in the stage I is mainly the relaxation of the large strain energy in tne martensite structure.
The observed localized and additive nature of the iron-carbon interaction, which was concluded from the linear relation between the amount of the internal field reduction and the number of carbon co-ordination for iron atoms in the various phases, seems to indicate that the Alexander-Anderson-Moriya’s idea is applicable to the transition metal-metalloid alloys.
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Kaduwo Sintani, Yuzo Tomono, Atsushi Tsuchida, Kiiti Siratori
1968 Volume 25 Issue 1 Pages
99-108
Published: July 05, 1968
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Lattice vibration of KNiF
3 was measured in the far-infrared region as a function of temperature covering the Néel point. There exist three modes of vibration, ν
1, ν
2 and ν
3. A positive shift due to the antiferromagnetic ordering has been observed in the second mode. The analysis of the shift has given the second derivatives of the exchange integral with respect to the fluorine displacement: ∂
2J⁄∂
vx2⁄
J\simeq−5⁄Å
2 and ∂
2J⁄∂
vz2⁄
J\simeq0.8ځ
2, in which
x and
z are perpendicular and parallel to the Ni–F–Ni bond direction, respectively. These values show the 180° directionality of the superexchange interaction which is responsible for the antiferromagnetism of KNiF
3.
In addition, a slight change in the temperature coefficient of frequency has been observed at the Néel point in the highest mode ν
1, which has been compared with the volume magnetostriction measured by the strain gauge and X-ray techniques.
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Shinji Ogawa
1968 Volume 25 Issue 1 Pages
109-119
Published: July 05, 1968
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Magnetization measurement has been made on ternary alloys Zr
1−xMxZn
2, where
M=Ti, Y, Nb and Hf with
x up to 0.3, 0.1, 0.2 and 0.33 respectively. The ferromagnetism in ZrZn
2 disappears by alloying Y, Nb, and Hf at
x\simeq0.03, 0.07, and 0.15 respectively, and Ti alloys are all ferromagnetic. The Curie temperature of Ti alloys increases initially with increasing
x, reaching a maximum value of 49°K at
x=0.2, then decreases. The magnetization of ferromagnetic alloys does not saturate up to 80 kOe. The spontaneous magnetization
M(0,
T) of all ferromagnetic alloys varies with temperature following a relationship,
M(0,
T)
2=
M(0,0)
2[1−(
T⁄
Tc)
2]. The paramagnetic susceptibilities of Ti and Hf alloys follow approximately the Curie-Weiss law, whereas those of Nb alloys do not. The paramagnetic moments of Ti and Hf alloys derived from the Curie constants are nearly constant, having no correlation with the spontaneous magnetization at 0°K. The above experimental results are interpreted on the itinerant model by assuming a sharp peak in the density of states of ZrZn
2 at the Fermi energy.
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Toshimichi Okita, Yoshimi Makino
1968 Volume 25 Issue 1 Pages
120-124
Published: July 05, 1968
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Single crystals of MnSb with various Mn compositions in ε phase were prepared successfully with Bridgeman method. Magnetization and torque measurements were made on these crystals in temperatures ranging from 4.2°K to 800°K. The temperature dependence of saturation magnetization on the sample with 48.2 at. % Mn was in good agreement with Brillouin function of
J=3⁄2∼2, but the samples with Mn rich composition exhibited slight discrepancies from this function.
The saturation magnetization per Mn atom at 0°K in Bohr magneton decreases with increasing Mn composition, and these values are well explained quantitatively as excess Mn atoms with 2.2μ
B occupy the B site and these spins are arranged antiparallel to those of A site Mn with 3.5μ
B.
The temperature dependences of the first order crystal magnetic anisotropy of various Mn compositions exhibit analogous function with those of cobalt and nickel derived from Carr’s theory.
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Nobutake Imamura, Soshin Chikazumi
1968 Volume 25 Issue 1 Pages
125-132
Published: July 05, 1968
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Exchange stiffness constant
A was determined by a high speed pulse switching technique which generates a fan-shaped magnetic transition layer artificially in a ferromagnetic thin films (18% Fe-82% Ni films, thickness ranges, 2000 Å to 11000 Å).
The fan-shaped magnetic transition layer appeared in the samples of the thickness more than 8000 Å. This spin configuration of the transition layer was calculated by a variational method and best fitted with experiment with
A=1.6×10
−6 erg/cm.
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Akira Sawaoka, Naoto Kawai
1968 Volume 25 Issue 1 Pages
133-140
Published: July 05, 1968
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The first order magnetic anisotropy constant
K1 of eight ferrites with inverse-type spinel structure and two ferrites with normal-type has been measured under hydrostatic pressure by the use of a torque method. The pressure dependence of
K1,
K1−1(
dK1⁄
dp), in Li
0.5Fe
2.5O
4 is +4.1×10
−6 bar
−1, in NiFe
2O
4 is +3.3×10
−6 bar
−1, in Li
0.05Fe
2.95O
4 is −18.0×10
−6 bar
−1, in Fe
3O
4 is −13.5×10
−6 bar
−1, in Fe
2.96Ti
0.04O
4 is −9.4×10
−6 bar
−1, in Fe
2.90Ti
0.10O
4 is −6.5×10
−6 bar
−1, in Fe
2.82Ti
0.18O
4 is −1.4×10
−6 bar
−1, in Fe
2.69Ti
0.31O
4 is +3.0×10
−6 bar
−1, in MnFe
2O
4 is +7.0×10
−6 bar
−1, in Mn
0.8Zn
0.2Fe
2O
4 is +6.0×10
−6 bar
−1 at room temperature. The results are discussed with regard to a single-ion model. In spinel, the contribution of ferrous ion to anisotropy constant
K1 increases, and that of ferric ion decreases, with decreasing lattice constant under hydrostatic pressure.
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Akira Hasegawa, Tadao Kasuya
1968 Volume 25 Issue 1 Pages
141-150
Published: July 05, 1968
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The diffuse part of the thermo-electric power due to the electron-phonon interaction,
S, and due to the impurity scattering,
Simp, is calculated for copper. The functional form of the electron-phonon coupling is adjusted to the observed temperature dependence of the electrical resistivity. Burdick’s energy bands and the observed phonon spectrum are also taken into account in solving the Boltzmann equation numerically. Then, the energy dependence of the relaxation time is calculated. The sign of
S and
Simp is consistent with experiment, but in magnitude there are some discrepancies. The deviation from experiment, however, is very similar in
S and
Simp and is ascribed to the fact that the
s–
d hybridization in the Burdick’s bands is too large near the Fermi level. The mass shift due to the electron-phonon interaction is calculated as 0.19
m0, where
m0 is the free-electron mass.
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Yoshio Ishizawa
1968 Volume 25 Issue 1 Pages
150-160
Published: July 05, 1968
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The de Haas-van Alphen effect of pure and tin or tellurium-doped antimony has been investigated using either the torque magnetometer or the low frequency field modulation technique. The Fermi surfaces of pure antimony consist of warped, large-tilt ellipsoids (α-carriers) and small-tilt ellipsoids (β-carriers) as far as the observed periods are concerned. A tilt angle of the former is 53°, while that of the latter is 88° from the trigonal axis. The Fermi surface for α-carries expands by 0.10 at.% tin-doping and contracts by 0.20 at.% tellurium-doping, on the other hand, that for β-carriers contracts by 0.10 at.% tin-doping. Because of these changes in Fermi surfaces being mainly due to the shift of the Fermi level, it is concluded that α-carriers are holes and β-carriers are electrons.
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Yoshio Ishizawa
1968 Volume 25 Issue 1 Pages
160-165
Published: July 05, 1968
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Two sets of the short period oscillations for large-tilt pockets (α-oscillation) and small-tilt pockets (β-oscillation) besides the long period oscillations for the tilted hyperboloids (γ-oscillation) have been observed in pure arsenic. α and γ-oscillations correspond to a multiply-connected Fermi surface calculated by Lin and Falicov and β-oscillations to closed pockets. Changes in both α and γ-periods have been observed by doping with germanium. The Fermi surfaces corresponding to α and γ-oscillations expanded about 5% and 40%, respectively, by doping with nominally 0.6 at. % germanium. As a substitutional germanium atom is considered to give hole to arsenic, it is concluded that a multiply-connected Fermi surface is hole as far as the rigid band approximation is valid.
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Takao Wada, Yutaka Fukuoka, Tetsuya Arizumi
1968 Volume 25 Issue 1 Pages
165-173
Published: July 05, 1968
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When
n-type Ge wafers and diodes, fabricated from the same material are irradiated with a total flux of about 10
15 electrons/cm
2 at 9 MeV, their V–I characteristics behave normally at room temperature, but at lower temperatures they show sharp breakdown phenomena accompanied with the negative resistance. The onset electric field of breakdown, the critical field
Ec is about 950, 450 and 220 V/cm at the temperature of 4.2°, 77° and 220°K respectively, and the sustaining field
Es, the field after breakdown, is nearly a constant of 100±20 V/cm, independently on the temperature. The properties of the irradiated germanium are very similar to those of a cryosar.
Ec and
Es are calculated theoretically by applying Kurosawa’s theory on the low temperature breakdown in compensated germanium and the experimental results are well explained by his theory.
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Kazuo Ôno, Louis Chandler, Atsuko Ito
1968 Volume 25 Issue 1 Pages
174-176
Published: July 05, 1968
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The ulvöspinel, Fe
2TiO
4, contains two kinds of ferrous ions; one is in the tetrahedral site and the other in the octahedral site. The electronic structures of both ferrous ions were studied by observing temperature dependence of the Mössbauer spectra in the temperature range 800°K–4.2°K. The behavior of the spontaneous magnetization which has maximum at about 100°K was also explained qualitatively by the obtained electronic structures.
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Seishi Iida
1968 Volume 25 Issue 1 Pages
177-184
Published: July 05, 1968
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The photoluminescent properties of the edge emission and the self-activated emission of pure zinc selenide crystals were studied. The spectra of the edge emission at liquid helium temperature and the self-activated emission show peak shifts to lower energies with decreasing the intensity of excitation and also with time after excitation. These are conspicuous characteristics of the donor-acceptor pair recombination. The binding energies of the donor and the acceptor relevant to the edge emission were obtained from time-resolved spectra. The binding energy of the acceptor involved in the self-activated emission was determined from the thermal quenching of the luminescence. It is likely that the donor involved in the self-activated emission is shallow and closer pairs contribute to the spectrum as compared to the low temperature edge emission. The self-activated emission is excited efficiently by the host absorption and the quantum efficiencies are as high as 25% and 70% at room and liquid nitrogen temperatures, respectively.
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Shoichi Sato
1968 Volume 25 Issue 1 Pages
185-201
Published: July 05, 1968
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The crystal structures of ferroelectric and paraelectric (Glycine)
2HNO
3 were determined by X-ray as well as by neutron diffraction methods at −150°C and at room temperature, respectively. One of the glycine molecules has the zwitter-ion configuration and another is mono-protonated. Thus the chemical formula should be written as NH
3+CH
2COO
−·NH
3+CH
2COOH·NO
3−. Both glycine ions as well as the nitrate ion are nearly planar within the experimental error. A short O–H···O bond, about 2.45Å, connects two glycine ions of the different configuration and a proton is attached to the oxygen of the glycinium ion.
The paraelectric structure is a disordered one based upon the ferroelectric structure. Such a type of the order-disorder phase transition and the above-mentioned strong hydrogen bond may play an important role for the ferroelectric behaviour of the crystal, which is very similar to the case of (Glycine)
3H
2SO
4.
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Hiroshi Numata
1968 Volume 25 Issue 1 Pages
202-211
Published: July 05, 1968
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Excitation of helicon modes is discussed for the plasma which is composed of degenerate electron gas and bounded by an infinitely long cylinder. Static magnetic field is given parallel to the axis of cylinder. Even for high magnetic field diagonal elements of the dielectric tensor can not be neglected in the dispersion relations unlike in the case for infinite medium. They give quantum effects in low temperature and the electric field shows strong damping and oscillatory behavior with magnetic field. Numerical calculations are carried out with appropriate values of physical quantities, InSb being chosen as a most favorable example.
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S. P. Srivastava, M. N. Sharma, M. P. Madan
1968 Volume 25 Issue 1 Pages
212-217
Published: July 05, 1968
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On the basis of a few realistic potential energy functions, expressions have been deduced for computing the anharmonicity of alkali halide crystals. An attempt has been made to estimate the magnitude of the anharmonic terms for the principal mode of oscillation of the crystal, that is the oscillation of the lattice of positive ions with respect to the lattice of the negative ions.
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Hisamoto Furuse
1968 Volume 25 Issue 1 Pages
218-220
Published: July 05, 1968
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The coagulation of compounds has been studied theoretically on the basis of Smoluchowski’s theory of the coagulation. The term of the creation of coagulative particles is added to the fundamental equation for coagulation. The total number of particles in a unit volume is derived approximately for the creation of the constant rate and for the case where the creation is caused by bimolecular reaction. Especially, in the case of the creation of the constant rate the total number of particles tends to \sqrt
K⁄4π
RD as time elapses, where
K,
R and
D are the rate of creation, the radius and the diffusion coefficient of single coagulative particles, respectively.
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Shigeru Asano
1968 Volume 25 Issue 1 Pages
220-226
Published: July 05, 1968
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Expressions for the stress field of a dislocation segment are given in a general dyadic form, without reference to a particular coordinate system. They are derived from the formulae of Peach and Koehler, and limited to the case of a linear, isotropic, infinite continuum.
The stress tensor due to a finite length of dislocation is expressed in the form
cσ∞+
σ’, which in the extreme case reduces to
σ∞, the well-known result of an infinitely long dislocation. The stress field of an arbitrary dislocation network can be deduced by the simple addition of the stress field of each component segment, as a direct application of the present study.
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I. Wakabayashi, H. Kobayashi, H. Nagasaki, S. Minomura
1968 Volume 25 Issue 1 Pages
227-233
Published: July 05, 1968
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The effect of pressure up to 90 kbar has been measured on the lattice parameters of PbS, PbTe, Gd, NiO, and α-MnS at room temperature. The X-ray powder patterns which correspond with SnS-type patterns were observed for PbS above 25 kbar and for PbTe above 45 kbar. The X-ray powder patterns which correspond with Sm-type patterns were observed for Gd above 28 kbar. The smoothed
p–
v data suggest the first-order transition from NaCl-type to SnS-type structures for PbS and PbTe and that from hcp-type to Sm-type structure for Gd, which are accompanied by the volume discontinuity of about 3, 2, and 1%, respectively. The pressure-induced transition in PbS and PbTe suggests by analogy to SnS-type compounds that the distortion in structure is associated with the anisotropic bonding function, which has been proposed by Gashimzade and Khartsiev. The effect of temperature has been calculated from the thermal data on the Grüneisen parameters of Gd, NiO, and α-MnS. The temperature dependence is explained by the contributions of the term of the lattice-vibrational Grüneisen parameters obtained from the
p–
v data and the term of the magnetic Grüneisen parameters obtained from the logarithmic dependence of ordering temperature with volume for the ferromagnetic and antiferromagnetic states.
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Mamoru Mekata, Junsuke Haruna, Hideo Takaki
1968 Volume 25 Issue 1 Pages
234-238
Published: July 05, 1968
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Crystal and magnetic structures of antiferromagnetic Mn
2N were studied by means of neutron diffraction at 290°K, 230°K, and 120°K. An orthorhombic arrangement of nitrogen atoms in the octahedral interstices of hcp manganese lattice was found. The crystal structure is ζ-Fe
2N type whose space group is
D2h14-
Pbna. The intensity analysis of the diffraction pattern at 120°K yields a magnetic structure with four sublattices having the same orthorhombic unit cell as the chemical one. The magnetic moment of manganese atom was found to be 1.4±0.4μ
B at 230°K and 1.6±0.4μ
B at 120°K.
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Misazo Yamamoto
1968 Volume 25 Issue 1 Pages
239-249
Published: July 05, 1968
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The rheological equations for three dimensional generalized Maxwell and Voigt models of mechanically linear viscoelasticity are presented in integral as well as differential forms. These three dimensional Maxwell and Voigt models are equivalent to each other, if the suitable relation holds between the relaxation function and the creep function. Introducing the mechanical relaxation and retardation spectra, we have differential rheological equations of which forms are essentially same as those of one dimensional cases. The stored energy and the dissipative energy are calculated for each model. From the view-point of application, the Voigt model is not very suitable because it gives an integro-differential equation for the deformation. As the application of the model, some examples of the simple elongation and of the simple shearing flow are treated.
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Yoiti Watanabe
1968 Volume 25 Issue 1 Pages
250-259
Published: July 05, 1968
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The eigenvalue theory of plasma oscillations, developed by Case and other authors, is extended for the case, where the waves run obliquely to the direction of external magnetic field. The plasma supposed here is spatially homogeneous, and has a general equilibrium distribution of electron velocity. Many elliptically polarized high harmonic modes overlap in the induced wave of electric field, each of the modes having different characteristic phase velocity. The superposition, unavoidable by the choice of the initial condition, yields anharmonic oscillations. The spectral structure of the characteristic phase velocity is partly identical with the one derived from the dispersion equation of the density waves, but partly, those which being newly introduced, are analogous to the spectrum of atomic energy due to the azimuthal and the magnetic quantum numbers.
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Akira Igarashi
1968 Volume 25 Issue 1 Pages
260-271
Published: July 05, 1968
Released on J-STAGE: June 01, 2007
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An infinite set of simultaneous equations of the Wiener-Hopf type with the kernel which is a Toeplitz matrix ||
Km−n(ζ)|| and their application of diffraction problems in electromagnetic theory are discussed. Owing to the special form of the kernel, it can be shown that the Fourier series expansion method transforms the infinite system into a single equation of the Wiener-Hopf type, so the standard Wiener-Hopf procedure can be applied. On the basis of this result, a treatment is made of the radiation of electromagnetic waves of TE type from an infinite set of staggered, equally spaced, semi-infinite plates.
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Iwao Hosokawa
1968 Volume 25 Issue 1 Pages
271-278
Published: July 05, 1968
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Statistical hydromechanics originated by Hopf is generalized to take into account the influence of an external random force field with an arbitrary (not necessarily Gaussian) distribution. Starting from the space-time functional formalism for turbulence recently established, a general expression for the characteristic functional describing the statistical behavior of fluid at each instant is derived in the form of a functional integral. For the case that the random force field is temporally correlated in the delta-function manner, a functional-differential equation is obtained which governs the time-evolution of the characteristic functional. This equation, being a counterpart of the Hopf equation which was given for the case of no random excitation, involves Novikov’s equation, as a special case.
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Kenji Inouye
1968 Volume 25 Issue 1 Pages
278-282
Published: July 05, 1968
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Steady, two-dimensional stagnation point flow of a highly conducting, inviscid, incompressible fluid with an aligned magnetic field is considered. An approximate solution is obtained by the use of the Kármán-Pohlhausen integral method. The solution is compared with the exact ones.
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Hideo Ohno, Mamoru Mekata, Hideo Takaki
1968 Volume 25 Issue 1 Pages
283
Published: July 05, 1968
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Takashi Tsuchida, Yoji Nakamura
1968 Volume 25 Issue 1 Pages
284
Published: July 05, 1968
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Sukeji Kachi, Hajime Asano, Norihiko Nakanishi
1968 Volume 25 Issue 1 Pages
285
Published: July 05, 1968
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Hajime Asano
1968 Volume 25 Issue 1 Pages
286
Published: July 05, 1968
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Yoji Nakamura, Yasuo Takeda, Masayuki Shiga
1968 Volume 25 Issue 1 Pages
287-288
Published: July 05, 1968
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Masayoshi Inoue
1968 Volume 25 Issue 1 Pages
288
Published: July 05, 1968
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Tsuneaki Goto, Toshihiro Okada
1968 Volume 25 Issue 1 Pages
289
Published: July 05, 1968
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Nobuo Nakayama
1968 Volume 25 Issue 1 Pages
290-291
Published: July 05, 1968
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Taisei Yamamoto, Nobuo Nakamura, Hideaki Chihara
1968 Volume 25 Issue 1 Pages
291
Published: July 05, 1968
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D. Watanabe, O. Terasaki, A. Jostsons, J. R. Castles
1968 Volume 25 Issue 1 Pages
292
Published: July 05, 1968
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D. Watanabe, H. Morita, H. Saitô, S. Ogawa
1968 Volume 25 Issue 1 Pages
293
Published: July 05, 1968
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Katsumi Yoshino, Shinich Iguchi, Kazuo Kawabe, Yoshio Inuishi
1968 Volume 25 Issue 1 Pages
294
Published: July 05, 1968
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Tadao Ishii, Yoshio Inuishi
1968 Volume 25 Issue 1 Pages
295
Published: July 05, 1968
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T. Nagashima, S. Kojima
1968 Volume 25 Issue 1 Pages
296
Published: July 05, 1968
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Susumu Takeda, Masashi Kando, Akimasa Funahashi
1968 Volume 25 Issue 1 Pages
297
Published: July 05, 1968
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Akimasa Funahashi, Susumu Takeda
1968 Volume 25 Issue 1 Pages
298-299
Published: July 05, 1968
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