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Hiroshi Sakuyama
1972 Volume 32 Issue 3 Pages
587-595
Published: March 05, 1972
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The observation of muons in EAS relevant to the age parameter which has been determined from a lateral density distribution of electrons has been carried out by means of a neon hodoscope array at Mt. Norikura (2770m.a.s.l.). As a result, it was found that there is a strong correlation between lateral distributions of electrons and of muons. The lateral distribution of muons as a power function of the distance
r from the core axis has the exponent which varies from −0.8 to −1.7 with the change of age parameter of EAS. The empirical distribution function of muons with various age parameter can be expressed as;
Δμ(
r,
Ne,
s)=
f(
s)
r−g(s)e
−(r⁄250)(
Ne⁄10
6)
0.8where
f(
s)=3×10
4exp(−7.26
s) and
g(
s)=8.0exp(−2.0
s).
Another conclusion is that the cause of the existence of multicore EAS will not be due to the heavy nuclei in the primary cosmic rays but due to a high energy interaction character.
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Toshihiro Shimizu
1972 Volume 32 Issue 3 Pages
596-603
Published: March 05, 1972
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The difference among previous theories for the spin-spin relaxation is investigated by paying attention to the invariants of motion. The reason why Caspers’ relaxation time is not valid in systems which possess invariants is elucidated. It is shown that in Sauermann’s theory all invariants are taken into account, while in Tjon’s theory only the Hamiltonian is taken into account as the invariant. It is concluded that Tjon’s results are not valid in systems which possess invariants other than the Hamiltonian.
The relation between invariants and the asymptotic form of the density matrix in the limit of
t→∞ is discussed.
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Masakazu Ichiyanagi
1972 Volume 32 Issue 3 Pages
604-609
Published: March 05, 1972
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New projection operators are introduced in the theory of two-time Green functions. The self-energy part of the Green function is expressed in terms of the random force whose time development differes from usual one by a factor (1-
P),
P being the projection operator. In the case of the Bose system, we obtained the time-relaxation expression for the width function
Γ(
k, ω) of the dynamical structure factor, which satisfies the sum rule by Puff.
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Naohiko Yamashita
1972 Volume 32 Issue 3 Pages
610-615
Published: March 05, 1972
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Macroscopic aspects of the field induced phase transitions in two-sublattice uniaxial antiferromagnets are studied in the case of an external field applied along the easy axis. The energy of the system is assumed to be of the form
(
Remark: Graphics omitted.)
Possible phases are antiferromagnetic, intermediate, spin-flop, deviated ferromagnetic, and ferromagnetic phases. The nature of each phase and classifications of transitions among these phases are calculated. Deviated ferromagnetic phase is first predicted in this paper.
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Hitoshi Sumi
1972 Volume 32 Issue 3 Pages
616-628
Published: March 05, 1972
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Exciton in the phonon field is treated with the coherent potential approximation which has originally been developed for electron in random lattice. Scattering potential at each lattice site is a random variable which takes a Gaussian distribution originating from thermal vibrations of the lattice. The approximation describes the change of character of exciton in the phonon field near the band edge. In the weak scattering case, the absorption line shape calculated is Lorentz-like in the main part and in the high energy tail of the peak due to the motional narrowing, while it switches over, below the peak, to the Urbach-Martienssen tail representing the localized feature of exciton. The emission spectrum changes from the resonance type to the Stokes-shifted type as exciton-phonon coupling increases. Overall line shape of optical spectrum is obtainable over the whole range of coupling strength. The approximation corresponps to the self-consistent version of the theory by Sumi and Toyozawa (J. Phys. Soc. Japan
31 (1971) 342).
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Yoshikazu Miyahara
1972 Volume 32 Issue 3 Pages
629-634
Published: March 05, 1972
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Influence of oxidization and various impurities on the transition temperature of the Verwey order in magnetite was studied experimentally. A small amount of impurities such as Li, Ni, Co, Cr, Al, Ti, Mg, Zn and Ga was doped and the transition temperature was determined by magnetic measurement. The decreases of the transition temperature of the specimens doped with the impurities are not simply related to the amount of the ferrous ions on the B sites but become larger as the ionic configurations deviate from the stoichiometric one. Oxidation of magnetite also decreases the transition temperature and this effect is smaller for the specimens sintered at lower temperature. For the Ga-doped specimens, the concentration dependence of the transition point is found to show a sharp change at a small (0.3%) Ga concentration.
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Masuhiro Yamaguchi, Takasu Hashimoto
1972 Volume 32 Issue 3 Pages
635-638
Published: March 05, 1972
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Single crystals of Cr
3Te
4 with the pseudo-NiAs type structure have been made by chemical transport method in order to investigate the anomaly below 80 K. The saturation moment at 4.2 K is equal to 1.79±0.03 μ
B per Cr
1−xTe (x=0.25), and the Curie temperature is 316 K. The magnetization only in the direction to the
a-axis shows the anomaly that the saturation field increases abruptly below 80 K, which corresponds to the Néel point proposed by Andresen. But on the contrary to his result, the easy axis of the moment is parallel to the
c-axis in the whole ferromagnetic region and antiferromagnetic order appears only in the
c-plane. By a spin echo method, two nuclear magnetic resonance absorption lines of Cr
53-nuclei are observed at 45.3 and 57.5 MHz at 4.2 K. The resonance frequencies increase remarkably below 80 K. This fact may support subsidiarily the existence of the antiferromagnetic order below 80 K.
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Kiichi Okuda, Yutaka Nakai
1972 Volume 32 Issue 3 Pages
639-643
Published: March 05, 1972
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Magnetic torque measurements in a (001) plane have been performed on the field-cooled single crystals of disordered Au–Cr alloys containing 4.4 to 23.5 at.% Cr. For the alloys with a long-range magnetic order, 15.7 to 23.5 at.% Cr, weak ferromagnetic torque with unidirectional anisotropy and rather strong antiferromagnetic torque with uniaxial anisotropy were simultaneously observed. The easy axis of the antiferromagnetic moments was along the cubic axis. The temperature dependence of the anisotropy of antiferromagnetic susceptibility
Δχ displays a peak near the temperature at which the ferromagnetic moment
M dissappears. For the alloys with a shortrange magnetic order, 4.4 to 12.1 at. % Cr, only a large ferromagnetic torque was observed. It was found that the abrupt increase in the amplitude of the ferromagnetic torque as the chromium concentration decreased came about because of a phase transition from magnetic long-range order to short-range order.
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Chikahide Akiba, Tadayasu Mitsui
1972 Volume 32 Issue 3 Pages
644-652
Published: March 05, 1972
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Anisotropic resistances with respect to the spin-density-wave vector
Q of a single-crystalline chromium were measured near
TN. Their temperature derivatives are analyzed by a power law. In the equation of dρ⁄d
T=−
Aε
−λ+
B, where
A and
B are both positive constant, the index λ is about 0.5 for
T<
TN and about 1.5 for
T>
TN. The indexes are almost isotropic with respect to
Q. For
T<
TN, it is considered that the value of λ originates from the order parameter, that is, the temperature dependence of the SDW energy gaps. The index of the order parameter β is estimated to be 1/2 which agrees with its classical value. The additional date obtained in the multi-
Q state are also discussed.
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Katsuyoshi Toyoda, Yasuji Sawada, Hajimu Kawamura
1972 Volume 32 Issue 3 Pages
653-655
Published: March 05, 1972
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The two band model is a good approximation for the energy band structure of the electrons in bismuth, and consequently the spin splitting factor of electron becomes nearly one. However, detailed studies on giant quantum attenuation of ultrasonic waves show that the spin splitting factor has an anomalous angular dependence. This behavior is explained in terms of the quantum variation of the Fermi energy caused by a strong magnetic field.
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Shuzo Takano, Shonosuke Ohta, Hajimu Kawamura
1972 Volume 32 Issue 3 Pages
656-666
Published: March 05, 1972
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Galvanomagnetic properties of Te-doped Bi are studied by means of helicon standing wave resonance in high magnetic field up to 65 kG at 4.2 K. Magnetoresistance derived from
Q-value of the resonance increases linearly with magnetic field, which is the result of the inhomogeneous distribution of ionized Te atoms. The resonant frequency of helicon shows the large quantum oscillation, the amplitude of which is about 5% of the nonoscillatory part and is independent of the carrier concentration, but depends on the linear term of the magnetoresistance. The phase of the oscillation of the resonant frequency differs from that of the oscillation of the magnetoresistance. It is found that the oscillation of the resonant frequency arises mainly from the quantum carrier transfer between heavy mass band and light mass band. The origin of the phase difference is found to be the collision broadening of Landau level. It is further found that the oscillation of the resonant frequency is enhanced by the inhomogeneous distribution of impurities.
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Shûsuke Yomo, Nobuo Môri, Tadayasu Mitsui
1972 Volume 32 Issue 3 Pages
667-676
Published: March 05, 1972
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The phase boundaries in bismuth were studied below room temperature to 45 K under pressures up to 50 kbar by electrical resistance measurements. The bismuth II-III phase transition was observed below 160 K during both compression in isothermal experiments and increase of the temperature in isobaric experiments. The temperature coefficient of the bismuth I-II transition pressure below room temperature to 77 K was determined to be −4×10
−2 kbar/K. The resistance change reported to be a new transition of bismuth at low temperatures by Il’ina and Itskevich was not found in accord with Roux, Andreani and Rapin, Holzapfel and Severin, and Compy. Recent results by other authors on the phase diagram of bismuth to 90 kbar and 800 K are summarized and discussed with the present result.
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Tomoyuki Takeuchi
1972 Volume 32 Issue 3 Pages
677-693
Published: March 05, 1972
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Tensile deformation curves of pure single crystals were theoretically computed under various experimental conditions. The main assumptions of the model are; (1) applied force is supported by the cell boundaries, (2) the primary slip system operates discontinuously, (3) the strength of the individual cell boundary is proportional to the primary edge dislocation density in it, and (4) the dynamic recovery takes place by the mutual annihilation of the primary edge dislocations of different signs. The computations were carried out for every tensile deformation curves which are experimentally possible. The theoretical deformation curves showed a good agreement with experimental curves, especially with respect to the properties that depend strongly on the history of the plastic deformation.
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Toshio Saburi, Isamu Yamauchi, Soji Nenno
1972 Volume 32 Issue 3 Pages
694-701
Published: March 05, 1972
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The structure of iron rich Fe–Al alloys associated with ordering and the type of dislocations induced by cold-rolling have been investigated by transmission electron microscope observation. The 24.9∼31.0 at. % aluminum alloys are observed to have homogeneous DO
3 type order when slowly cooled from disordered state. In the 24.9 at. % aluminum alloy 1⁄4·
a0′〈111〉 antiphase boundaries very likely left behind 1⁄4·
a0′〈111〉 dislocations are observed, whereas in the alloys containing 26.3∼31.0 at. % aluminum 1⁄2·
a0′〈100〉 antiphase boundaries very likely left behind 1⁄4·
a0′〈111〉 dislocation pairs (or 1⁄2·
a0′〈111〉 dislocations) are observed. The composition where the type of dislocation changes coincides with that where the yield strength becomes maximum (about 26 at. % aluminum).
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Hiroyasu Saka, Toru Imura
1972 Volume 32 Issue 3 Pages
702-716
Published: March 05, 1972
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A new method to investigate directly the dynamical properties of dislocations was developed by means of HVEM. The motions of edge and screw dislocations were observed in thick foil specimens of Fe–Si being stretched in a HVEM operated at 500 kV. The dislocation motions were recorded continuously on a video tape recorder (VTR) with the aid of an image intensifier and the corresponding stress-strain curve was also recorded simultaneously.
Edge dislocations moved well below the yield stress and the frequency of their motions increased with increasing applied stress. Lüders band nucleated at upper yield point and propagated in transition from upper to lower yield points. The motions of screws were observed immediately after upper yield point, accompanying dislocation multiplication.
Edge dislocations had much higher mobility than screws but both of them moved much faster in comparison with the observation by etch-pitting technique.
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Terumasa Kato, Ryuji Abe
1972 Volume 32 Issue 3 Pages
717-722
Published: March 05, 1972
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ESR spectra of γ-irradiated TGS were observed in both ferroelectric and paraelectric phases. The hyperfine splitting tensors of the rotating β-protons and the α-proton in the radical NH
3\dotCHCOO
−, were determined. The hfs tensor of the β-protons was varied when the crystal passed through the Curie point. From the temperature dependence of the spectrum, the frequency factor,
f0 and the activation energy
E of the rotating β protons were determined to be 5×10
11 sec
−1 and 0.17 eV, respectively. Near and above the Curie point, the experimental curve of logτ versus 1⁄
T deviates from the relation 1⁄τ=
f0exp(−
E⁄
kT). This means that near and above the Curie point, glycines 2 and 3 are placed at the positions of point symmetry as if they make a displacive transition and the spectral lines are superimposed. It was also found that the ESR spectrum of the radical \dotCH
2COO
− disappeared abruptly at about 80°C, suggesting the decomposition of the radical.
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Yoshihiro Ishibashi, Yutaka Takagi
1972 Volume 32 Issue 3 Pages
723-728
Published: March 05, 1972
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Mitsui’s local field model of phase transitions in Rochelle salt is reexamined. The region for β and β′, Lorentz factors, which yield spontaneous polarization only in intermediate temperatures, is extended. The cases that Mitsui treated where β and β′ are both positive are included as a part of the present result. It has turned out that the sum of β and β′ must be positive in order that a ferroelectric phase should appear either at low temperature side or at some intermediate temperatures.
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Taibun Kamejima, Shigeo Shionoya, Atsuo Fukuda
1972 Volume 32 Issue 3 Pages
729-735
Published: March 05, 1972
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The correlation of polarization between exciting and emitted lights in the luminescence due to excitons bound at I
− ions in KBr crystals has been studied at 4.2 K. In the 356 nm emission attributed to the single I
− ion center, no polarization is observed showing that the given memory of polarization is lost during the relaxation of bound exciton to the (IBr
−−V
K+
e)
* state to produce luminescence. In the 285 nm emission attributed to the paired I
− ion center, polarization is found indicating that the dipole responsible for the emission is oriented along the 〈100〉 direction. Two possible explanations have been presented; one is based on the strong interaction between the I
− ions and hence the
D2h symmetry of the paired I
− ion center, while the other assumes the weak interaction between the I
− ions and hence the nearly
Oh symmetry around the I
− ion which is distorted tetragonally by the Jahn-Teller effect in the relaxed excited state.
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Hiroshi Morisaki
1972 Volume 32 Issue 3 Pages
736-741
Published: March 05, 1972
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A simple and accurate technique was utilized for measuring effective dimensions of nonuniform current flow in semiconductors. The inductance
L of a conducting rod is known to be directly related to cross-sectional area of the rod. The change in inductance after the onset of the pinch effect was measured in a microwave resonant circuit composed of an InSb thin rod inductor and a lumped capacitor placed in a microwave stripline. The pinch radius
rp estimated from the measurement of inductance is compared with results obtained by other workers. A significant feature of the
rp vs
I curve is that
rp increases with increasing current above 20
A, showing a minimum value of 50μ. When a relatively weak longitudinal magnetic field is applied, the pinched plasma is found to spread its cross-sectional area without showing any instabilities.
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Hiroshi Morisaki
1972 Volume 32 Issue 3 Pages
742-749
Published: March 05, 1972
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A quantitative analysis of the pinch effect in an InSb has been carried out with the aid of two original experimental techniques. Firstly, an intrinsic Hall effect was utilized to measure the electron mobility in the pinched column. Secondly, the effective dimensions of the pinch channel were estimated from measurements of sample inductance. These techniques make it possible to investigate various aspects of the pinch effect in a semi-quantitative fashion. The steady-state density in the pinched column, as an example, is compared with a theory of isothermal pinching. Reasonably good agreement between the theory and experimental results were obtained, indicating that the electron temperature within the pinch remains nearly constant during the pinching process. The carrier density in the pinched column was found to saturate at about 10
17 cm
−3. As one explanation, population inversion between the states in the bottom of the conduction band and in the top of the valence band is considered.
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Toshirou Yagi, Itaru Tatsuzaki
1972 Volume 32 Issue 3 Pages
750-756
Published: March 05, 1972
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In order to obtain any relation between an electric field gradient (E.F.G.) at the site of
23Na nucleus in Sodium Nitrite crystals and spontaneous polarization, the observed E.F.G. along the
b-axis in the ferroelectric phase is formally expanded with the long range order parameter
S. The E.F.G. in a fictitious perfectly ordered state and in a disordered one are calculated as a function of temperature. The E.F.G. of both fictitious states are calculated in a point charge approximation on the basis of a simplified model. The calculated
S from the first order expansion series in terms of the observed E.F.G. and the calculated E.F.G. shows a good agreement with the
S obtained from the observed spontaneous polarization except in the vicinity of the transition temperature. An effect of the order-disorder rearrangement of NO
2− ion is concluded to reflect the temperature dependence of the E.F.G. observed in the ferroelectric phase.
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Yoshihito Miyako
1972 Volume 32 Issue 3 Pages
757-762
Published: March 05, 1972
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ENDOR experiment was performed on rutile with the substitutional Co
2+ ion (0.05 wt% CoO) at 4.2 K.
Two groups of lines were analyzed to have hyperfine constants
AxI=31.4±0.4,
AyI=33.8±0.4,
AzI=35.7±0.4 MHz for the spectrum (I) and
AxII=29.0±0.4,
AyII=31.6±0.4,
AzII=30.6±0.4 MHz for the spectrum (II), which were attributed, from their symmetry consideration, to the nearest and the second neighbor Ti nuclei, respectively.
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Masasi Inoue, Chao-Yuan Huang
1972 Volume 32 Issue 3 Pages
763-770
Published: March 05, 1972
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The EPR for Mn
2+ (0.01%) in Cd
1−xMg
xTe (0≤
x≤0.2) mixed crystals grown by the Bridgeman technique has been studied at the
X-band. The hyperfine interaction constants
A and
g-factors have been found to be less dependent on the composition
x than the crystalline field constants
a. An empirical equation has been formulated in order to obtain the EPR parameters for Mn
2+ in II-VI compounds as a whole. This law shows an exponential dependence of the EPR parameters on the effective distance between the magnetic ion and the anion. This law is used to estimate unknown parameters for Mn
2+ in Cd
1−xMg
xTe as a function of
x. Some lines in the EPR spectra showed a broadening with
x. The temperature dependence of the constants
A for these crystals has been found to be a little larger than those for ionic crystals such as MgO, CaF
2, and NaCl. The composition dependence of the Debye temperatures has been determined from these data. Measurements were also made of the temperature dependence of the peak-to-peak and half-width of the signal in order to study the effective number of Mn
2+ ions in the crystal.
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Teruhiko Hoshina, Shigeo Kuboniwa
1972 Volume 32 Issue 3 Pages
771-777
Published: March 05, 1972
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Excitation spectra for Tb
3+ and Ce
3+ as well as fluorescence spectra for Ce
3+ due to 4
f-5
d transitions in calcite-type borates have been measured at liquid helium temperature. Sharp no-phonon lines are accompanied by phonon sidebands extending over 3500 cm
−1. The vibronic sidebands are considered to reflect vibrations of pure lattices. The spin-allowed 4
f-5
d transitions of Tb
3+ and Ce
3+ are accompanied by phonon sidebands due to even-parity lattice vibrations. The spin-forbidden 4
f-5
d vibronic sidebands of Tb
3+ are due to odd-parity lattice vibrations. Models of the coupling schemes of the 4
f75
d and 5
d configurations in the crystal field are presented. A comparison of the observed spectra with the models suggests that the 5
d electron may not see the trigonal component of the crystal field. Transition matrix elements between the ground 4
f state and the Stark components of the excited 5
d states of Ce
3+ are calculated.
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Suekichi Kawata, Keisuke Maeda
1972 Volume 32 Issue 3 Pages
778-784
Published: March 05, 1972
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With a curved crystal spectrometer X-ray L
III absorption limits of Mo, Rh, Pd and Ag were studied in relation to the Lβ
2,15 lines, from the two points of view assigning the absorption limit to correspond to transitions from the L
III level to (i) the outer lowest unoccupied level and (ii) the Fermi level. For the first standpoint a method of passing the lines through foils of the respective elements was used in combination with the ordinary relative wavelength measurement of the line and the absorption limit. From the results it was concluded that the reverse process of emission of the Lβ
2,15 line is closely involved in the appearance of the L
III absorption limit for Mo, Rh and Pd. Next, from the second standpoint the points corresponding to the binding energy of the absorption limit were located on the absorption spectra by using the date of the measurements of photo-electrons and ESCA.
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Masaharu Kumazaki, Shintaro Sugai
1972 Volume 32 Issue 3 Pages
785-791
Published: March 05, 1972
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Dielectric dispersions of poly-L-lysine and its various salts in aqueous solutions were measured in a frequency range 1 kHz∼3 MHz. The dispersion curve was found to have a single midpoint frequency for helical poly-L-lysine. The electric dipole moment was proportional to its molecular weight and was 4.0 Debyes per lysine residue. The value of limiting relaxation time and its dependence on the molecular weight were discussed to know whether they indicated that the dielectric dispersion was due to rotational motion of electric dipole on the molecule or not.
On the other hand, the dispersions of its salts were almost found to be appoximated by Debye’s curves of separated two relaxation times. From the value of limiting relaxation time in the lower frequency region and its dependence on molecular weight, the dielectric dispersions of salts might be considered to be due to movement of counter-ions.
Also, the dielectric dispersions of these salts in the frequency region higher than 100 kHz were explained by Maxwell-Wagner-Sillars effect.
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Wataru Segawa, Katsumi Ishida
1972 Volume 32 Issue 3 Pages
792-795
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A theory of normal stress effect of polydisperse polymer solutions is presented on the basis of Fixman’s theory of intrinsic viscosity. The relation between 2
M*G0⁄ρ
RT and α is obtained where
M* is the quantity determined by molecular weight distribution,
G0 the shear modulus at zero velocity gradient, ρ the polymer concentration in grams per cubic centimeter,
R the gas constant,
T the absolute temperature and α the lowest mode expansion factor.
Using the above relation and others, a new method to determine unperturbed dimensions of flexible polymer molecules is proposed, which is accommodated for polydisperse polymers as well. This method is here applied to the experimental results of monodisperse polymers, showing to give good results.
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Shun-ichi Kishimoto, Hideo Akimune, Tokuo Suita
1972 Volume 32 Issue 3 Pages
796-807
Published: March 05, 1972
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Microinstability of the mirror confined plasma (mean ion energy is 5∼10 keV and maximum density is 7×10
7 cm
−3 under an
rf electric field, ω
0=2.5ω
ci is investigated experimentally and theoretically, where ω
0 is the frequency of the
rf field and ω
ci is the ion cyclotron frequency. The frequency of the observed oscillation, which is satisfactorily explained as a temporal growing loss cone instability, is above or nearly equal to 4ω
ci. It seems, as predicted by the calculation, to shift slightly from 4ω
ci by the effect of the
rf field. This instability oscillation is damped with the
rf field. The stabilization is owing to the energy spreading of ions and owing to the electron drifts induced by the
rf field whose frequency is off-resonant from ion cyclotron frequency and its harmonics.
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Shun’ichi Kishimoto, Hideo Akimune, Tokuo Suita
1972 Volume 32 Issue 3 Pages
808-823
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Effects of a weak rf electric field parallel to the magnetic field on microinstabilities driven by non-Maxwellian distribution of ion or anisotropic one are investigated theoretically and experimentally. Concerning non-Maxwell instability, excitation and stabilization of the instability are observed in a certain frequency region of the rf field: ω
ci\lesssimω
0\lesssim2ω
ci, where ω
0 and ω
ci are the frequency of the rf field and the ion cyclotron frequency respectively. The calculation indicates that the stabilization is due to the induced electron drifts and that the excitation is caused by the mode-mode couplings. Anisotropic instability is studied only theoretically under the rf field: ω
0≈ω
ci. This instability can be smoothly stabilized through Landau damping due to the electrons heated along the magnetic field by the rf field.
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Atsuhiko Ozaki, Tsutomu Ishimura
1972 Volume 32 Issue 3 Pages
824-830
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Motion of a dense (10
15∼10
16 particles/cm
3) hydrogen plasma injected with a linear-pinch gun into a biconical cusp field has been observed with magnetic probes, a streak camera and a Kerr-cell camera. An axial reciprocating motion of the blob is observed and it is explained as a motion of a filament current ring with finite electrical conductivity. This reciprocating motion disappears in a few cycles and the plasma simultaneously interdiffuses with the magnetic field. Finite electrical conductivity of the plasma gives some contribution to the dissipation of the directional energy of the injected plasma.
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M. P. Srivastava, P. K. Bhat
1972 Volume 32 Issue 3 Pages
831-836
Published: March 05, 1972
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We have studied the motion of a single charged particle in an axially-symmetric magnetic field with a neutral point. Treating the canonical angular momentum as a constant of motion we have reduced the motion to a two-dimensional one by introducing an effective potential and have classified “off-axis”, “encircling” and “hybrid” motions. Further, we have analytically studied the guiding centre of the particle. We find that it sticks to the leading magnetic lines of force and does not cross the Störmer boundaries. The numerical computation of complete equations confirms our theory. However, the magnetic moment remains moderately adiabatic.
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Yasumitsu Miyazaki
1972 Volume 32 Issue 3 Pages
837-844
Published: March 05, 1972
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The electromagnetic fields in open resonator such as Fabry-Perot resonator are investigated by the method of the integral equation with Green’s tensor and the asymptotic perturbation method for large wave numbers. The general vector theory of the electromagnetic field in the open region between two separately situated conductor surfaces is developed in a suitable form for the analysis of the scattering and excitation phenomena. The input admittance of the open resonator coupled to the waveguide is derived and shown to be different from that of a closed cavity. This difference is attributed to the radiation loss in the open resonator. This general vector theory is applied to the analysis of the open resonator consisting of two parallel circular disks. The resonant frequencies and the diffraction losses of the resonant fields are derived and compared with those obtained by approximate scalar field theory in case of circularly polarized modes.
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Kanefusa Gotoh, Norito Ikeda
1972 Volume 32 Issue 3 Pages
845-850
Published: March 05, 1972
Released on J-STAGE: June 01, 2007
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Instability of channel flows of an incompressible viscous fluid with antisymmetric velocity profile
U(
y) is investigated at large values of Reynolds number
R. The wave number α of the neutral disturbance of zero phase velocity is obtained as
α
2=α
02−
K(α
R)
−1⁄3+
O[(α
R)
−2⁄3],
where
K=0.672[φ′(1)]
2⁄[|
U′(1)|
1⁄3∫
01φ
2(
y)d
y],
and α
0 and φ are respectively the eigenvalue of α and the eigenfunction in the limit α
R=∞.
The result is applied to the instability of a thermal convection between two parallel vertical plates kept at different temperatures, and it is found that
α
2=5.20−9.83(α
R)
−1⁄3+
O[(α
R)
−2⁄3].
Full neutral curve for this problem is obtained by numerical integration of the disturbance equations.
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Hiroyuki Miura
1972 Volume 32 Issue 3 Pages
851-857
Published: March 05, 1972
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By making use of the Crespo model of two-phase flow, the structure of a steady weak plane shock wave is investigated analytically. Provided that the Reynolds number based on the bubble radius is of O (1), the thickness of a shock wave is proportional to ε
−2, where ε is a measure of the shock strength, and decreases in proportion to the sum of the reciprocals of two parameters, which express the effects of viscosity and heat transfer between two phases, respectively. The formation of a shock wave by an impulsive motion of a piston is also considered. A transition solution for the initial value problem is obtained by making use of a matching procedure. When the piston speed is small, the solution for large values of the time is governed by Burgers’ equation as in ordinary gas dynamics.
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Yoshikazu Miyahara, Shuichi Iida
1972 Volume 32 Issue 3 Pages
858
Published: March 05, 1972
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Tsuneya Ando, Yukio Matsumoto, Yasutada Uemura, Mineo Kobayashi, Kiich ...
1972 Volume 32 Issue 3 Pages
859
Published: March 05, 1972
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Shinya Kuriki, Goro Matsumoto
1972 Volume 32 Issue 3 Pages
860
Published: March 05, 1972
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Seishi Yajima, Masaaki Hamano, Hiromichi Umebayashi
1972 Volume 32 Issue 3 Pages
861
Published: March 05, 1972
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Hitoshi Yamazaki, Kenjiro Watanabe, Hidetaro Abe
1972 Volume 32 Issue 3 Pages
862
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Etsuko Kodera, Akira Torii, Kenji Osaki, Tokunosuke Watanabé
1972 Volume 32 Issue 3 Pages
863
Published: March 05, 1972
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Akira Nagasawa
1972 Volume 32 Issue 3 Pages
864
Published: March 05, 1972
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Fumio Hashimoto
1972 Volume 32 Issue 3 Pages
865
Published: March 05, 1972
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Kôtaku Hayashi, Yasutaka Watanabe, Yoshio Inuishi
1972 Volume 32 Issue 3 Pages
866
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Katsumi Yoshino, Shinji Hisamitsu, Yoshio Inuishi
1972 Volume 32 Issue 3 Pages
867
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Koichi Takeda, Yoshisuke Hatta
1972 Volume 32 Issue 3 Pages
868
Published: March 05, 1972
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