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Takeo Hasegawa, Naoaki Horikawa, Tsutomu Nakanishi, Keigo Nisimura, Ma ...
1972 Volume 33 Issue 4 Pages
871-880
Published: October 05, 1972
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The measurement of the spin correlation parameters of proton-proton scattering at 47.5 MeV has been done by using polarized beam and polarized target. A proton beam which had 50% polarization was provided by
p-Ca scattering. The polarized target was a LMN crystal which was maintained 35% polarization by dynamic method during the experiment. The spin correlation parameters
Ayy and
Axx at 90°C
CM were measured simultaneously.
Ayy,
Axx and
Ayy⁄
Axx at 47.5 MeV were −0.287±0.039, −0.713±0.032 and 0.402±0.057, respectively.
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Yohko Awaya, Kazuhisa Matsuda, Takeshi Wada, Noriyoshi Nakanishi, Shig ...
1972 Volume 33 Issue 4 Pages
881-889
Published: October 05, 1972
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Angular distributions of elastically and inelastically scattered protons from
100Mo and
98Mo were measured at
Ep=14.7 MeV. Results were analysed in terms of the optical model and the distorted wave Born approximation theory. In addition, the differential cross sections for the first 2
+ and 3
− states and those for the possible members of two-quadrupole-phonon triplet were compared with coupled channel calculations. Reasonable agreements between the experiment and the theory were obtained except for the second 0
+ state of
100Mo. Admixture of one-phonon component was required for the second 2
+ state.
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Atsunori Danjo
1972 Volume 33 Issue 4 Pages
890-897
Published: October 05, 1972
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It is pointed out that balloon observations so far reported on the finite flux of diffuse cosmic X-rays with energies greater than 0.2 MeV are subject to the procedure of subtracting the contribution of atmospheric X-rays.
The transport of photons generated in the atmosphere was followed by a Monte Carlo calculation. It is found that energy-degraded photons generated at greater depths cause a build-up effect and flatten the intensity vs depth relation, the growth curve, of omnidirectional atmospheric X-rays at depths smaller than 10 gcm
−2. The present calculation can explain the behaviour of the observed growth curves. Thus, it is concluded that the assumption, adopted in some of the reports, that the growth curve is represented by a power function of the atmospheric depth is not valid. The present result demonstrates that the observations thus far have given only an upper limit of the cosmic X-rays flux above 0.2 MeV.
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Bhupender Singh, Ashok. K. Dhar, Vikram Singh, H. S. Hans
1972 Volume 33 Issue 4 Pages
898-901
Published: October 05, 1972
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The reversed field method in a time-integrated directional correlation measurement has been used to determine the magnetic moment of the 3
−, 1374 keV level of
182W. An external magnetic field of 15 kOe has been used for the perturbation of the 179–152 keV cascade of
182W. The magnetic moment has been obtained to be μ(1374keV)=+1.74±0.16 n.m.
Our measured value of the magnetic moment establishes the 1374 keV level as a member of the
K=2 rotation band of
182W.
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Noboru Takimoto
1972 Volume 33 Issue 4 Pages
902-915
Published: October 05, 1972
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The capacitance of an ideal capacitator, in which a thin metallic slab occupies a part of the space between the plates, is calculated with the use of the extended Thomas-Fermi method with particular emphasis on the non-local effect. It is assumed that the electrons in the interior of the slab suffer either specular or diffuse scattering at the slab boundaries. In the diffuse case, the two-sided Wiener-Hopf method developed by Baraff is applied. The field penetration into the slab yields an observable capacitance change. The quantum oscillations in the capacitance are also studied to show that, exactly as in the case of the Gantmakher-Kaner oscillations, the characteristics of the oscillations are determined by the geometrical structures of the Fermi surface, and that an external magnetic field gives rise to the amplitude modulation of the oscillations, which is observable under most favorable conditions.
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Takuma Ishikawa, Takehiko Oguchi
1972 Volume 33 Issue 4 Pages
916-920
Published: October 05, 1972
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The susceptibility of the restricted-dimensional (one- or two-dimensional-like) Ising model is analyzed by means of the high temperature series expansion. The exchange interaction in a chain (or plane), and inter chains (or planes) are
J and λ
J, respectively. The first eight terms in the susceptibility series are explicitly obtained. The critical temperature
Tc and the critical exponent γ are obtained as a function of λ. It is found that the susceptibility shows restricted-dimensional behavior at high temperature (
T>>
Tc), and shows three-dimensional behavior in the very vicinity of the critical temperature (
T\gtrsim
Tc) for small λ.
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Toshiyuki Ninomiya
1972 Volume 33 Issue 4 Pages
921-928
Published: October 05, 1972
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A theory of dislocation motion in a crystal is developed by introducing the dislocation coordinate which describes collective motion of atoms in the dislocation core associated with dislocation motion. The other degrees of freedom are shown to give a phonon field. An explicit formulation is given for a one-dimensional lattice (Frenkel-Kontorova model). The equation of motion obtained based on Lagrangian formalism shows that the dislocation behaves as if it has an eigenmass which gives the kinetic energy of the dislocation core. The eigenmass vanishes for a core much wider than the lattice constant and this case corresponds to a continuum. In Appendix quantization of the dislocation motion is discussed.
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Kenn Kubo
1972 Volume 33 Issue 4 Pages
929-935
Published: October 05, 1972
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The one-particle states of a hole in a double exchange ferromagnet are discussed by making use of the Green function. An approximate Green function of a hole in a system with randomly oriented localized spins is obtained by applying the CPA extended as to take into account the effects of exchange scatterings. The density of states of a hole is numerically calculated for a simple case. The narrowing of the width of the density of states is examined for the s.c. lattice. In the case
S=1⁄2, which is equivalent to the Hubbard model with infinitely strong correlations, the present result agrees with that of Kawabata.
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Toshio Asada, Hirosi Miwa
1972 Volume 33 Issue 4 Pages
936-945
Published: October 05, 1972
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Magnetic anisotropy due to an anisotropic impurity spin in an otherwise pure isotropic ferromagnet is studied theoretically. A new formalism is developed, which takes into account effects of local nonuniformity of the host spin directions around the impurity. A reduced expression of free energy is derived, where the effects are represented by a few parameters, namely, the exchange integral between host spins, the applied field and the deflection angle of the nearest neighbor spins of the impurity from the applied field, eliminating all the other host spin variables. By use of the developed formalism, static behaviors, such as torque curves and the spatial variation of spin directions, are investigated. An asymptotic form of the deflection angle at a large distance is of a well known Ornstein-Zernike type. The maximum possible torque is determined by the host-impurity exchange coupling for a large crystalline anisotropy of the impurity.
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Masaho Tsukada
1972 Volume 33 Issue 4 Pages
946-952
Published: October 05, 1972
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The coagulation processes of excess vacancies in quenched metals are investigated by a statistical mechanical method. In place of the traditional kinematical approach assuming uniform distribution of vacancy clusters, a method of dividing the process into two stages, one the nucleation stage and the other the growth stage, is suggested. This method is a natural consequence of the recognition that each single super-critical cluster is surrounded by many sub-critical clusters. A concept of the territory surrounding each growing stable cluster is introduced. It can be concluded accordingly that the density and the size of secondary defects observed are determined at an early stage of nucleation.
The effects of the quenching temperature as well as the aging temperature on the density and the size of final secondary defects are calculated. The results obtained are in fairly good agreement with the observations on quench-aged aluminium.
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Tsuyoshi Yamaguchi, Hiroshi Kamimura
1972 Volume 33 Issue 4 Pages
953-966
Published: October 05, 1972
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A theoretical treatment for vibronic levels of an interacting electron and vibration system is developed so as to calculate
g-values in paramagnetic resonance and vibronic structures in optical spectra simultaneously, under the assumption that the electrons interact with localized vibrations. The variations of the
g-values and absorption and emission spectra with the interaction strength are shown for weak and intermediate interactions, choosing Cu
2+ ions in II-VI semiconductors as an object of study. Two important effects of the Jahn-Teller interaction are clarified. First, the observed
g-values which differ markedly for different semiconductors are due to the dynamical Jahn-Teller interaction. Second, the vibronic spectra change drastically at the interaction strength at which two vibronic levels cross each other, reflecting the breakdown of the adiabatic approximation. Finally the absorption and emission spectra of Cu
2+ ions in ZnO, CdS and ZnS are calculated with appropriate parameters and compared with experiments.
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Takayoshi Takeda, Yasuo Yamaguchi, Hiroshi Watanabe
1972 Volume 33 Issue 4 Pages
967-969
Published: October 05, 1972
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A neutron diffraction study was carried out on SrFeO
3. The results indicate that the magnetic structure is a helical one with the helicoid vector
k;
k⁄⁄〈111〉 and |
k|=0.112
a*. The Fe
4+ magnetic moment is 2.7±0.4 μ
B at liquid nitrogen temperature.
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Takayoshi Takeda, Yasuo Yamaguchi, Hiroshi Watanabe
1972 Volume 33 Issue 4 Pages
970-972
Published: October 05, 1972
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SrCoO
2.5 with brownmillerite (4CaO·Fe
2O
3·Al
2O
3) type structure is an antiferromagnet with the Néel temperature of 570 K. The magnetic structure as determined from a neutron diffraction study is of G-type and the Co
3+ magnetic moment is 3.3±0.5μ
B at liquid nitrogen temperature.
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Takayoshi Takeda, Hiroshi Watanabe
1972 Volume 33 Issue 4 Pages
973-978
Published: October 05, 1972
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Samples of the system SrCo
1−xFe
xO
3−y (0≤
x≤1, 0≤
y≤0.5) have been prepared under varying oxygen pressure and temperature and their crystallographic and magnetic properties have been studied. SrCoO
2.5 with brownmillerite type structure (high temperature phase) is an antiferromagnet with the Néel temperature of 570 K and the Co
3+-O
2−-Co
3+ superexchange interaction is strongly antiferromagnetic. SrCoO
3 and SrCo
1−xFe
xO
3 (
x<0.9) with the cubic perovskite structure (high temperature phase) are ferromagnetic with the Curie temperature at about 200 K and the magnetization decreases rapidly with increasing
x near SrFeO
3 whose magnetic structure is helical.
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Isao Yamada
1972 Volume 33 Issue 4 Pages
979-988
Published: October 05, 1972
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It has been found that K
2CuF
4 is ferromagnetic below 6.25 K. The two-dimensionality of this compound as expected from its K
2NiF
4 type structure is strongly supported by magnetic and specific heat measurements. The torque as well as zero field NMR measurements suggest that the
c-plane is an easy plane, in which the spins are very weakly bounded to the direction of
a-axis. On the assumption that this magnetic system to be purely two-dimensional, the exchange interaction
J between the spins within the
c-plane is found to be the Heisenberg type with about one percent XY-like anisotropy and
j⁄
k=10.0 K is obtained from the series expansion analysis of the high temperature susceptibility as well as linear dependence of the low temperature specific heat. The transition at 6.25 K may be caused by inter-layer exchange interaction. The exchange field between the adjacent layers is expected at least larger than 400 Oe.
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Hirohito Fukutani, Goro Kuwabara
1972 Volume 33 Issue 4 Pages
989-995
Published: October 05, 1972
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Piezoreflectance and piezotransmittance of evaporated silver films are measured in order to investigate the effect of the stress on the interband transition and the plasma oscillation. It is concluded that the effect of the stress on the plasma oscillation is the same as that on the interband transition, which indicates that the plasma oscillation is strongly coupled with the interband transition.
The deformation potential of the first interband transition of silver determined from the authors’ dynamical method is 3.0×10
−6 eV/bar, which is in good agreement with the value reported by Zallen
et al. from their static method.
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Hiroshi Morinaga
1972 Volume 33 Issue 4 Pages
996-1002
Published: October 05, 1972
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Fermi surface of α-brass was investigated up to 24.6 at. % Zn by the rotating specimen method.
The anisotropy in the Fermi surface of α-brass is similar to that of pure copper, and the 〈111〉-neck radius, roughly speaking, increases monotonically with increasing content of Zinc.
The enhancements of the annihilation rates of positrons in pure copper were examined using the Fermi wave vector determined precisely by Halse. An evidence was obtained for the anomalous enhancement at the 〈111〉-neck.
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Shigeo Honda, Masao Tomura
1972 Volume 33 Issue 4 Pages
1003-1017
Published: October 05, 1972
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The decay time and quantum yield of the F-luminescence were measured as a function of temperature for KCl, RbCl, KBr, NaCl, NaF and RbF. In KCl, RbCl and KBr, it was found that the quantum yields are nearly unity below about 80 K and the decay times decrease with temperature rising from 20 K. But, in NaCl, NaF and RbF, the quantum yields as well as the decay times were found to decrease with temperature increasing from 15 K. The temperature variation of the decay times at low temperatures was analysed by the following model: the luminescence takes place exclusively from the lowest mixed 2s′-state which consists of the hydrogenic 2s-like and 2p-like states mixed through
Γ4−-optical phonons, and the 2p-component in the 2s′-state increases with rising temperature. In NaCl, NaF and RbF, the temperature dependence of the quantum yields at low temperatures could be analysed with the model that the non-radiative transition takes place from the lowest relaxed state to the ground state.
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Tetsusuke Hayashi, Shigeharu Koshino, Youko Kawai, Tokiko Ohata
1972 Volume 33 Issue 4 Pages
1018-1023
Published: October 05, 1972
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Effect of an electric field on the host-sensitized luminescence of KI:Tl is studied at room temperature. Contribution of free carriers to the mechanism of the host sensitization is estimated form an abrupt reduction in the intensity of Tl
+ emission which is induced by an application of a dc electric field. Under optical excitation in the interband absorption region, absorbed energy is transferred from the host KI to a Tl
+ center by free carriers. On the contrary, the contribution of free carriers to the process of the energy transfer is small in the case of excitation in the exciton band. A small fraction of excitons seems to decompose through exciton-exciton collision. It is suggested that the Tl
+ emission stimulated in the region of exciton absorption band is caused not only by direct excitation of D state but also due to the energy transfer by excitons.
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Masasi Inoue
1972 Volume 33 Issue 4 Pages
1024-1030
Published: October 05, 1972
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The variation of the hyperfine interaction constant
A and its temperature dependence with composition have been measured on Mn
2+(0.02%) in sintered powders of Cd
1−xZn
xS and CdS
1−xSe
x (
x=0, 0.25, 0.50, 0.75, 1.0) over the temperature range from 78 to 500 K. The composition dependence of
A for Cd
1−xZn
xS is in qualitative agreement with the predicted behavior from the effective distance picture introduced by us, but this is not the case for CdS
1−xSe
x. The discrepancy suggests us the stronger chemical affinity of Mn ion with S ion than with Se ion, and some formation of clusters as well. The temperature dependence of
A shows also the difference between the two mixed systems due to the different crystalline environment, such as the effective change. A qualitative discussion is made for a mixed system along the current informations.
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Kazuo Morigaki, Michie Onda
1972 Volume 33 Issue 4 Pages
1031-1046
Published: October 05, 1972
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A decrease in the resistivity associated with donor spin resonance has been observed in the liquid helium temperature range in arsenic- and phosphorus-doped germanium, whose donor concentrations belong to the intermediate concentration region of impurity conduction phenomenon. The relative changes of the resistivity due to the donor spin resonance have been measured as a function of static electric field applied to samples, temperature, microwave power, and donor concentration. The experimental results are explained on the basis of the spin energy transfer model in which the existence of the two different electronic systems, that is, the donor spin system being responsible for the donor spin resonance and the mobile electron system contributing to the charge transport of the intermediate concentration region at low temperatures is assumed, and the microwave energy absorbed by the donor spin system is transferred to the mobile electron system through their mutual exchange interaction and it turns out to increase in the kinetic energy of the mobile electrons and, accordingly, to an increase in their mobilities.
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Kunio Fujiwara, Toshio Hyodo, Jun-ichi Ohyama
1972 Volume 33 Issue 4 Pages
1047-1059
Published: October 05, 1972
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The enhancement of the partial annihilation rate of electron-positron pairs in crystals has been examined by assuming a two-band structure of electrons and using the lowest-order ladder graphs with static interaction. The intraband transitions of electrons due to the attractive force of positrons cause the enhancement of the rate over all the components of the momentum, while the interband transitions from the lower to the upper give a marked dehancement of HMC’s (higher-momentum components) despite that the total annihilation rate remains still enhanced. Numerical computation has been made for several one-dimensional cases, and an asymmetry with respect to the zone face has been found even in the enhancement due to intraband transitions.
An angular-correlation measurement has been made for silicon, and an evidence for the dehancement of HMC’s has been found by comparing the date with the independent-particle theory of Stroud and Ehrenreich (Phys. Rev.
171 (1968) 399).
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Tadao Iwata, Takeshi Nihira, Hideto Matsuo
1972 Volume 33 Issue 4 Pages
1060-1070
Published: October 05, 1972
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The electrical resistivity changes by electron irradiation at 5 K and the isochronal annealing of resistivities in the temperature range 5–85 K (Stage I) in pyrolytic graphite are studied in order to get information on point defects. Both the
a-axis and the
c-axis resistivity changes by irradiation are explained by the ordinary transport theory with defect scattering. Small recoveries in Stage I are shown to be composed of four substages: I
A(5–15 K); I
B(15–45 K); I
C(45–65 K); and I
D(65–85 K). Effects of the irradiating electron energy, the radiation-doping and the graphitization temperature of samples on these substages are also studied. Substages I
A and I
B may be caused by the correlated rearrangement of close Frenkel pairs, where interstitial atoms form loose coupling with their own vacancies. The activation energy for I
A is roughly estimated to be 0.027±0.004 eV. In I
C the long-range free migration of interstitial atoms seems to occur.
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Akikatsu Sawada, Yutaka Takagi
1972 Volume 33 Issue 4 Pages
1071-1075
Published: October 05, 1972
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The phase transition in ammonium Rochelle salt is interpreted from the group-theoretical point of view following the Landau theory of phase transition and shown to be
improper since it is induced by a two-dimensional representation at
k=(1⁄2)
b1 which correctly describes the observed phase change from the space group D
23 to C
22. The expression of the free energy is given in terms of the doubly-degenerate transition parameter, besides the macroscopic polarization and deformation.
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Kazuko Kojima, Shigetaka Shimanuki, Tadanobu Kojima
1972 Volume 33 Issue 4 Pages
1076-1087
Published: October 05, 1972
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Polarized emissions from Ag
− centers and radiative lifetimes of Ag
− and Ag
−(Na) centers were measured for several kinds of potassium halides. Polarization diagrams for the
C emission of Ag
− centers were obtained as a function of excitation wavelength and temperature. The decay time of the
A emission was measured against varying temperature. The experiments demonstrate that emissions occur from trigonally distorted configurations and suggest that the spin-orbit coupling constant should be diminished during lattice relaxations. A set of adiabatic potential surfaces for the Ag
− center was constructed which can explain all the experimental results.
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Noboru Tsukuda, Atsushi Okazaki
1972 Volume 33 Issue 4 Pages
1088-1099
Published: October 05, 1972
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By X-ray diffraction method a stacking disorder in pseudo-perovskite KCuF
3 is investigated. The stacking disorder seems to be connected with the existence of two kinds of polytype structures. Five specimens are examined; the diffraction patterns of them are typical to the five structural groups of KCuF
3 crystals. In the cases of three specimens, diffuse scattering along the
c* axis is observed. By a preliminary study including a leastsquares refinement of the atomic coordinate in the crystals, a model of the disorder is established; the disorder is characterized by the displacement (1/2)
a in a stacking of the layer parallel to the (001). The diffuse scattering due to the disorder is analyzed by using the intensity equation in a matrix form. In the cases of Reichweite
S=1, 2 and 3, the existence and continuing probabilities of the layers are directly determined from Fourier transforms of the observed intensities.
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Hideto Hayashida, Yukio Kazumata, Hiroshi Maeta
1972 Volume 33 Issue 4 Pages
1100-1107
Published: October 05, 1972
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The nature of defects produced in LiF crystals by neutron-irradiation for a dose of ∼10
18 nvt at different temperatures was studied by X-ray diffraction. Large lattice expansion and small change of the line-width of the diffraction profile were observed in the crystal irradiated at about 0°C, while small change of the lattice parameter and large broadening of the line-width were observed in the crystal irradiated at 80 K. It was concluded that (1) the defects produced by neutron-irradiation at about 0°C were point-like and distributed homogeneously; (2) the majority of the defects produced by the irradiation at 80 K were of zone type and the amount of point-like defects was small; (3) both types of defects were produced at intermediate temperatures between the above two.
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Michio Matsuzawa
1972 Volume 33 Issue 4 Pages
1108-1119
Published: October 05, 1972
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Reactions of highly excited atoms (A
**) with molecules (BC)
A
**+BC→A
++B+C
−, (1)
are studied. It is theoretically shown that the cross section for (1) can be approximately expressed in terms of that for dissociative attachment of electrons to molecules BC, namely,
e+BC→B+C
−.
The rate constants and the angular distributions of the products for some reactions including
K
r**+CCl
4→K
r++CCl
3+Cl
−, (2)
are predicted. The rate constant for reaction (2) is found to be of the order of the magnitude 10
−7 cm
3/sec. Together with the results of the previous papers (M. Matsuzawa: J. chem. Phys.
55 (1971) 2685; J. Phys. Soc. Japan
32 (1972) 1088) it is pointed out that the measurements of reactions of highly excited atoms with molecules give useful information on the inelastic scattering of a slow electron by the molecules.
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Yukinori Sato, Soji Tsuchiya
1972 Volume 33 Issue 4 Pages
1120-1131
Published: October 05, 1972
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The vibrational relaxation of CO
2 in N
2 and CO has been studied by monitoring the infrared emissions from mode ν
3 of CO
2 and CO behind shock waves in the temperature range of 800–2500 K. The experimental results are explained by the relaxation equation derived in terms of three main energy transfer processes: (1) CO
2*(ν
3)+B→Co
2*(ν
1, ν
2)+B, (2) CO
2*(ν
3)+B→CO
2+B
*, and (3) CO
2*(ν
1, ν
2)+B→Co
2+B, where B=N
2 or CO. The rate constant for Process (1) has a temperature dependence in agreement with the theoretical prediction from the short range force theory, though its value is much larger than the theoretical one. The rate for Process (2) in collisions with N
2 shows a negative temperature dependence in a lower temperature region and a positive in a higher region, and a minimum is found in the vicinity of 1300 K. While, the corresponding rate for CO has a weakly positive temperature dependence. These rate constants for Processes (1) and (2) can be connected smoothly to the data of the laser fluorescence measurements in the lower temperature region.
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Yoshinosuke Terashima, Kenro Miyamoto
1972 Volume 33 Issue 4 Pages
1132-1141
Published: October 05, 1972
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A theoretical study of the equilibrium and diffusion in a stellarator field with the helical winding
l=3 has been carried out. It is shown that a stationary equilibrium exists even when finite inertia and finite ion gyroradius effects are taken into account. The plasma loss flux consists of two parts; one is determined by the averaged magnetic field and the other is due to the perturbed components with helical structure of the electrostatic potential and of the density distribution. The latter term will become appreciable when a marked anisotropy in electron pressure presents.
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Masaki Takashima
1972 Volume 33 Issue 4 Pages
1142-1148
Published: October 05, 1972
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The stability of a horizontal layer of an electrically conducting, viscoelastic fluid (Oldroyd fluid) heated from below in the presence of a magnetic field is considered, on the assumption that both bounding surfaces are free. Linear stability theory is used to derive an eigenvalue system of sixth order, and an exact eigenvalue equation for a neutral instability is obtained. Critical Rayleigh numbers, wave numbers, and frequencies for the onset of instability are presented graphically as functions of the Chandrasekhar number for various values of the Prandtl number and the elastic parameters. It is shown that the effects which arise in consequence of the coupling between the magnetic field and the viscoelastic behaviour of a fluid are exceedingly complicated.
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Yutaka Sasakura
1972 Volume 33 Issue 4 Pages
1149-1155
Published: October 05, 1972
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The sufficient condition for stability of the parallel shear flow of a stratified compressible fluid due to Chimonas is proved by a different method. By the use of this method a sufficient stability condition for the two-dimensional circular flow is obtained:
(
V0⁄
r)
2[
r(ρ
0′⁄ρ
0)−(
V0⁄
Vs)
2]≥[
r(
V0⁄
r)′]
2⁄4
throughout the flow field, where ρ
0(
r) is the density,
V0(
r) and
Vs(
r) are the speeds of the fluid and the sound, respectively,
r is the radial distance and the prime denotes differentiation with respect to
r.
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C. Prasad, R. K. Jain, S. R. Soni
1972 Volume 33 Issue 4 Pages
1156-1159
Published: October 05, 1972
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Free vibrations of an infinite strip of parabolically varying thickness have been studied on the basis of shear theory of plates. The differential equations governing the motion of such strips have been solved by Frobenius method of series solution. Transverse deflection as well as rotation in the strip elements are obtained as infinite series. Frequency parameters are calculated for different values of taper constant and thickness to breadth ratio for two combinations of boundary conditions.
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Kenichi Tanabe, Tsutomu Imamura
1972 Volume 33 Issue 4 Pages
1160-1168
Published: October 05, 1972
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The Wiener-Hermite expansion with the time-dependent ideal random function is applied to the nearly Gaussian isotropic turbulence. The first two terms of the expansion are used for the numerical calculations of the initial Gaussian distributions whose energy spectra are not so different from the expected quasi-stable spectrum. The kinematic viscosity is set at 0.01. The characteristic wave number and velocity are considered to be of the order of 0.5 and 1 respectively in these initial conditions. It is shown that the variations of the shapes of the energy spectra, starting from these initial conditions, support Kolmogoroff’s quasi-stable spectrum
E(
k)∼
k−5⁄3 in the wave number range 1<
k<2.8.
E(
k)∼
k2 in the range
k∼0 and
E(
k)∼
k−σ(4<σ<5) in the range 8<
k<11, are also suggested although the inclination is not so definite as in the above range.
View full abstract
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K. K. Gopinathan, A. R. K. L. Padmini
1972 Volume 33 Issue 4 Pages
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Masakazu Ichikawa
1972 Volume 33 Issue 4 Pages
1170
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Hideo Saito, Yuichi Suzuki
1972 Volume 33 Issue 4 Pages
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Takeshi Sugiura, Katsutoshi Iwahashi, Yoshika Masuda
1972 Volume 33 Issue 4 Pages
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Hiroyasu Saka, Kenji Noda, Toru Imura
1972 Volume 33 Issue 4 Pages
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1972 Volume 33 Issue 4 Pages
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1972 Volume 33 Issue 4 Pages
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1972 Volume 33 Issue 4 Pages
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1972 Volume 33 Issue 4 Pages
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1972 Volume 33 Issue 4 Pages
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1972 Volume 33 Issue 4 Pages
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Nahonori Miyata, Kohji Tohyama, Yukichi Go
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1972 Volume 33 Issue 4 Pages
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Minoru Sasaki, Ken-ichi Kusukawa
1972 Volume 33 Issue 4 Pages
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1972 Volume 33 Issue 4 Pages
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1972 Volume 33 Issue 4 Pages
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