//m.getgobooth.com/ 必威体育下载 daily 15 2024-10-08 13:42:54 apsoffice@iphy.ac.cn apsoffice@iphy.ac.cn 2024-10-08 13:42:54 zh Copyright ©Acta Physica Sinica All Rights Reserved. 京ICP备05002789号-1 Address: PostCode：100190 Phone: 010-82649829，82649241,82649863 Email: apsoffice@iphy.ac.cn Copyright ©Acta Physica Sinica All Rights Reserved apsoffice@iphy.ac.cn 1000-3290 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1569 Author(s): WANG GANG, LI ZI-RONG, CHEN LI-QUAN, ZHAO ZONG-YUAN <br/><p>In order to understand the mechanism of the ionic conduetivity enhancement in LiCl (or LiI) containing dispersed second-phase particles (DSPP), we have performed 7Li NMR investigations on both line width and spin-lattice relaxation time (T1) at 35 MHz in temperature range of 173-483 K. An additional peak was observed to overlap the resonance absorption line. The signal-to-noise ratio was obviously increased while T1 decreased. The profile of this peak changes with type and content of DSPP and temperature. It is concluded that the ionic eonductivity enhancement and the appearing of the additional peak are both given rise by the DSPP of submicron size. The high conduction in the space charge region near the interface between LiCl and DSPP is suggested as a possible mechanism for the ionic conductivity enhancement and the appearing of the additional peak.</p> <br/>Acta Physica Sinica. 1981 30(12): 1569-1575. Published 1981-06-05 Author(s): WANG GANG, LI ZI-RONG, CHEN LI-QUAN, ZHAO ZONG-YUAN <br/><p>In order to understand the mechanism of the ionic conduetivity enhancement in LiCl (or LiI) containing dispersed second-phase particles (DSPP), we have performed 7Li NMR investigations on both line width and spin-lattice relaxation time (T1) at 35 MHz in temperature range of 173-483 K. An additional peak was observed to overlap the resonance absorption line. The signal-to-noise ratio was obviously increased while T1 decreased. The profile of this peak changes with type and content of DSPP and temperature. It is concluded that the ionic eonductivity enhancement and the appearing of the additional peak are both given rise by the DSPP of submicron size. The high conduction in the space charge region near the interface between LiCl and DSPP is suggested as a possible mechanism for the ionic conductivity enhancement and the appearing of the additional peak.</p> <br/>Acta Physica Sinica. 1981 30(12): 1569-1575. Published 1981-06-05 7Li NMR INVESTIGATIONS IN LiCl WITH DSPP WANG GANG, LI ZI-RONG, CHEN LI-QUAN, ZHAO ZONG-YUAN 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1569-1575. article doi:10.7498/aps.30.1569 10.7498/aps.30.1569 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1569 1569-1575 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1576 Author(s): XU ZHENG-YI, ZHU YONG, ZHANG DAO-FAN, LI CHEN-XI <br/><p>In our previous works, it had been found the apparent dielectric constant ∈c′ of α-LiIO3 single crystal increases as a bias DC field is applied in the c direction. And it had been attributed to result of ionic conduction. In this paper, the dielectric properties of KLiSO4 and NaCl single crystals under the action of a DC field have been investigated. Similar to the situation of α-LiIO3 single crystal, the phenomenon of change of the apparent dielectric constant was observed in these crystals. It verified the conclusion mentioned above. We also studied the dependences of this property of ionic conductors on temperatures, frequencies and ambient atmosphere. The condition under which this phenomenon appeares was discussed.</p> <br/>Acta Physica Sinica. 1981 30(12): 1576-1581. Published 1981-06-05 Author(s): XU ZHENG-YI, ZHU YONG, ZHANG DAO-FAN, LI CHEN-XI <br/><p>In our previous works, it had been found the apparent dielectric constant ∈c′ of α-LiIO3 single crystal increases as a bias DC field is applied in the c direction. And it had been attributed to result of ionic conduction. In this paper, the dielectric properties of KLiSO4 and NaCl single crystals under the action of a DC field have been investigated. Similar to the situation of α-LiIO3 single crystal, the phenomenon of change of the apparent dielectric constant was observed in these crystals. It verified the conclusion mentioned above. We also studied the dependences of this property of ionic conductors on temperatures, frequencies and ambient atmosphere. The condition under which this phenomenon appeares was discussed.</p> <br/>Acta Physica Sinica. 1981 30(12): 1576-1581. Published 1981-06-05 DIELECTRIC PROPERTIES OF THE IONIC CONDUCTOR SINGLE CRYSTALS UNDER THE ACTION OF A DC FIELD XU ZHENG-YI, ZHU YONG, ZHANG DAO-FAN, LI CHEN-XI 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1576-1581. article doi:10.7498/aps.30.1576 10.7498/aps.30.1576 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1576 1576-1581 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1582 Author(s): FAN HAI-FU, GU YUAN-XIN, XU ZHANG-BAO <br/><p>During the phase derivation in the case of non-centrosymmetric crystal structure, if one forces the phases to degenerate into a set of signs corresponding to those of the real parts of structure factors, it then results in an E-map containing simultaneously the actual structure and its enantiomorph. Such an E-map may in turn easily be retrieved by use of the component relation leading to a unique solution of the structure. With this procedure only two possible values (0 or π) are necessary to be considered for each unknown phase within the starting set. Hence the amount of calculation can be greatly reduced as compared with that of the ordinary phase permutation method.</p> <br/>Acta Physica Sinica. 1981 30(12): 1582-1585. Published 1981-06-05 Author(s): FAN HAI-FU, GU YUAN-XIN, XU ZHANG-BAO <br/><p>During the phase derivation in the case of non-centrosymmetric crystal structure, if one forces the phases to degenerate into a set of signs corresponding to those of the real parts of structure factors, it then results in an E-map containing simultaneously the actual structure and its enantiomorph. Such an E-map may in turn easily be retrieved by use of the component relation leading to a unique solution of the structure. With this procedure only two possible values (0 or π) are necessary to be considered for each unknown phase within the starting set. Hence the amount of calculation can be greatly reduced as compared with that of the ordinary phase permutation method.</p> <br/>Acta Physica Sinica. 1981 30(12): 1582-1585. Published 1981-06-05 ARTIFICIAL PHASE DEGENERATION IN THE DETERMINATION OF NON-CENTROSYMMETRIC STRUCTURES FAN HAI-FU, GU YUAN-XIN, XU ZHANG-BAO 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1582-1585. article doi:10.7498/aps.30.1582 10.7498/aps.30.1582 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1582 1582-1585 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1586 Author(s): LIN YONG-HUA, HU NING-HAI, LIU SHU-ZHEN, ZHOU QING-LIAN, WU SHI-XUE, WANG MING-YI, SHI EN-DONG <br/><p>The crystal of dimethyl sulphoxide complex of europium Eu (NO3)3·4DMSO belongs to the monoclinic system. The space group is C2/c-C62h. The cnystal parameters are a = 14.806 (9)?, b = 10.948 (3)?, c = 15.335 (4)? and β= 108.07 (7) °. Four molecules are contained in a unit cell, z = 4. The diffraction data have been collected by using PW-1100 four-circle diffractometer, the total number of independent diffractions amounts to 2270. The structure was solved by heavy-atom method, and structure parameters have been refined by means of full-matrix and block-diagonal least square method, R = 0.069. The europium ion in this structure is found to be coordinated by ten oxygen atoms. The distances between the europium and the coordinating oxygens are Eu-ODMSO=2.38?, Eu-O(NO3)=2.61?.</p> <br/>Acta Physica Sinica. 1981 30(12): 1586-1590. Published 1981-06-05 Author(s): LIN YONG-HUA, HU NING-HAI, LIU SHU-ZHEN, ZHOU QING-LIAN, WU SHI-XUE, WANG MING-YI, SHI EN-DONG <br/><p>The crystal of dimethyl sulphoxide complex of europium Eu (NO3)3·4DMSO belongs to the monoclinic system. The space group is C2/c-C62h. The cnystal parameters are a = 14.806 (9)?, b = 10.948 (3)?, c = 15.335 (4)? and β= 108.07 (7) °. Four molecules are contained in a unit cell, z = 4. The diffraction data have been collected by using PW-1100 four-circle diffractometer, the total number of independent diffractions amounts to 2270. The structure was solved by heavy-atom method, and structure parameters have been refined by means of full-matrix and block-diagonal least square method, R = 0.069. The europium ion in this structure is found to be coordinated by ten oxygen atoms. The distances between the europium and the coordinating oxygens are Eu-ODMSO=2.38?, Eu-O(NO3)=2.61?.</p> <br/>Acta Physica Sinica. 1981 30(12): 1586-1590. Published 1981-06-05 CRYSTAL STRUCTURE OF DIMETHYL SULPHOXIDE COMPLEX OF EUROPIUM LIN YONG-HUA, HU NING-HAI, LIU SHU-ZHEN, ZHOU QING-LIAN, WU SHI-XUE, WANG MING-YI, SHI EN-DONG 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1586-1590. article doi:10.7498/aps.30.1586 10.7498/aps.30.1586 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1586 1586-1590 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1591 Author(s): GAO ZHI <br/><p>The analytical models which are used to predict the performance of gas-flow and chemical lasers are enumerated and compared. These analytical models include the currently accepted theory of Lorentz-Gauss line shape factor, the present theory of rectangular line shape factor and the theory presented in ref. [5]. For the idealized configuration of the mixing layer of diffusion chemical lasers, the specific results corresponding to the theories mentioned above are developed in brief. Analysis shows that for the general case in which the transition is simultaneously inhomogeneous broadened and collisionally broadened, particularly for the case in which the inhomogeneous broadening is dominant, the difference among the results of the two theories of line shape factor and the theory of article [5] are quite significant. The results of the theory of rectangular line shape factor are more precise than those of Lorentz-Gauss line shape factor. And the computing-time required by the theory of rectangular line shape factor is less than that of Lorentz-Gauss line shape factor.</p> <br/>Acta Physica Sinica. 1981 30(12): 1591-1602. Published 1981-06-05 Author(s): GAO ZHI <br/><p>The analytical models which are used to predict the performance of gas-flow and chemical lasers are enumerated and compared. These analytical models include the currently accepted theory of Lorentz-Gauss line shape factor, the present theory of rectangular line shape factor and the theory presented in ref. [5]. For the idealized configuration of the mixing layer of diffusion chemical lasers, the specific results corresponding to the theories mentioned above are developed in brief. Analysis shows that for the general case in which the transition is simultaneously inhomogeneous broadened and collisionally broadened, particularly for the case in which the inhomogeneous broadening is dominant, the difference among the results of the two theories of line shape factor and the theory of article [5] are quite significant. The results of the theory of rectangular line shape factor are more precise than those of Lorentz-Gauss line shape factor. And the computing-time required by the theory of rectangular line shape factor is less than that of Lorentz-Gauss line shape factor.</p> <br/>Acta Physica Sinica. 1981 30(12): 1591-1602. Published 1981-06-05 COLLISIONAL AND INHOMOGENEOUS BROADENING EFFECTS IN GAS-FLOW AND CHEMICAL LASERS——THE THEORETICAL MODELS GAO ZHI 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1591-1602. article doi:10.7498/aps.30.1591 10.7498/aps.30.1591 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1591 1591-1602 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1603 Author(s): YIN ZONG-MIN, ZHU SONG-LAI <br/><p>Starting from the ray path equation, object-image relationships are found and used to determine the equivalent focal length and the principal planes of tapered GRIN fiber. These equation reduce to the known formulas when m = 0 (that is, for a cylindrical GRIN fiber). The aperture of tapered GRIN fiber is discussed in this paper and the photographs of the image are also included.</p> <br/>Acta Physica Sinica. 1981 30(12): 1603-1608. Published 1981-06-05 Author(s): YIN ZONG-MIN, ZHU SONG-LAI <br/><p>Starting from the ray path equation, object-image relationships are found and used to determine the equivalent focal length and the principal planes of tapered GRIN fiber. These equation reduce to the known formulas when m = 0 (that is, for a cylindrical GRIN fiber). The aperture of tapered GRIN fiber is discussed in this paper and the photographs of the image are also included.</p> <br/>Acta Physica Sinica. 1981 30(12): 1603-1608. Published 1981-06-05 IMAGE PROPERTIES OF TAPERED GRADIENT-INDEX FIBER YIN ZONG-MIN, ZHU SONG-LAI 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1603-1608. article doi:10.7498/aps.30.1603 10.7498/aps.30.1603 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1603 1603-1608 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1609 Author(s): G. G. MU, C. K. CHIANG, H. K. LIU <br/><p>Theory and experiment of a new white-light image processing technique for black-and-white image addition and "subtraction" by means of Fourier plane spatial color filtering are described. The intensity transmittances of three (or two) processed images can be expressed in a chromaticity coordinate system of primary colors and so are the results of the addition and/or "subtraction" of the two images.</p> <br/>Acta Physica Sinica. 1981 30(12): 1609-1614. Published 1981-06-05 Author(s): G. G. MU, C. K. CHIANG, H. K. LIU <br/><p>Theory and experiment of a new white-light image processing technique for black-and-white image addition and "subtraction" by means of Fourier plane spatial color filtering are described. The intensity transmittances of three (or two) processed images can be expressed in a chromaticity coordinate system of primary colors and so are the results of the addition and/or "subtraction" of the two images.</p> <br/>Acta Physica Sinica. 1981 30(12): 1609-1614. Published 1981-06-05 WHITE-LIGHT IMAGE ADDITION AND SUBTRACTION BY COLORIMETRIC MEASUREMENT G. G. MU, C. K. CHIANG, H. K. LIU 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1609-1614. article doi:10.7498/aps.30.1609 10.7498/aps.30.1609 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1609 1609-1614 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1615 Author(s): XING XIU-SAN <br/><p>The general problem in various fracture processes microcracks or voids evolution has been investigated by employing non-equilibrium statistical concept and method. The kinetic equation of microcrack evolution is derived from multivariated master equation describing the process of microcracks evolution. The way how to connect micro mechanism with macro process is indicated. And the inherent properties of distrubution function of microcracks is discussed.</p> <br/>Acta Physica Sinica. 1981 30(12): 1615-1623. Published 1981-06-05 Author(s): XING XIU-SAN <br/><p>The general problem in various fracture processes microcracks or voids evolution has been investigated by employing non-equilibrium statistical concept and method. The kinetic equation of microcrack evolution is derived from multivariated master equation describing the process of microcracks evolution. The way how to connect micro mechanism with macro process is indicated. And the inherent properties of distrubution function of microcracks is discussed.</p> <br/>Acta Physica Sinica. 1981 30(12): 1615-1623. Published 1981-06-05 THE STOCHASTIC FORMULATION OF MICROCRACKS EVOLUTION XING XIU-SAN 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1615-1623. article doi:10.7498/aps.30.1615 10.7498/aps.30.1615 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1615 1615-1623 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1624 Author(s): XU WEN-LAN, LI YIN-YUAN <br/><p>The antiferromagnetism of Ising spin I(1) with the nearest neighbor interaction -J on fcc has been treated by the method of series expansion similar to [1]. The free energy function for the lower temperature ordered state is written in a series of exp(-J/kT) and that for the higher temperature disorder state in a series of J/kT. Using the Padé approximants we have shown clearly that the free energy curves of the two states cross at Tc= 1.33 J/k. The transition is one of the first order, the same conclusion as we obtained for the I(1/2) model, but Tc of I(1) is lower than that of I(1/2). The thermodynamic quantities such as the long-range and short-range order parameter, the internal energy, the entropy, the specific heat as well as the magnetic susceptibility were calculated in variation with temperature. They all change abruptly at Tc.We concluded that (1) on fcc the Ising spin AM-PM transtion being one of the first order should be attributed to the close-packing characteristics of this lattice; and (2) Tc(s) decreases as s increases.</p> <br/>Acta Physica Sinica. 1981 30(12): 1624-1636. Published 1981-06-05 Author(s): XU WEN-LAN, LI YIN-YUAN <br/><p>The antiferromagnetism of Ising spin I(1) with the nearest neighbor interaction -J on fcc has been treated by the method of series expansion similar to [1]. The free energy function for the lower temperature ordered state is written in a series of exp(-J/kT) and that for the higher temperature disorder state in a series of J/kT. Using the Padé approximants we have shown clearly that the free energy curves of the two states cross at Tc= 1.33 J/k. The transition is one of the first order, the same conclusion as we obtained for the I(1/2) model, but Tc of I(1) is lower than that of I(1/2). The thermodynamic quantities such as the long-range and short-range order parameter, the internal energy, the entropy, the specific heat as well as the magnetic susceptibility were calculated in variation with temperature. They all change abruptly at Tc.We concluded that (1) on fcc the Ising spin AM-PM transtion being one of the first order should be attributed to the close-packing characteristics of this lattice; and (2) Tc(s) decreases as s increases.</p> <br/>Acta Physica Sinica. 1981 30(12): 1624-1636. Published 1981-06-05 STATISTICAL THEORY OF I(1) MODEL ANTIFERROMAGNE-TISM ON A FACE CENTERED CUBIC LATTICE WITH NEAREST-NEIGHBOR INTERACTION——A SERIES EXPANSION METHOD XU WEN-LAN, LI YIN-YUAN 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1624-1636. article doi:10.7498/aps.30.1624 10.7498/aps.30.1624 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1624 1624-1636 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1637 Author(s): LI BO-ZANG, PU FU-CHO <br/><p>The problem of formation of incipient magnetic domain in the scheme of Brown's equation is one of the typical problems of bifurcation. A scale transformation is introduced, so that the size of a ferromagnetic body appears explicitly as a parameter in the expressions of free energy and Brown's equation. We generalize the perturbation method in bifurcation theory to study the initial bifurcation of Brown's equation. After an analysis of the stability of single-domain state and bifurcation solutions, we arrived at the conclusion that the critical size of incipient domain formation equals to the smallest positive bifurcation point of size parameter and the process of incipient domain formation takes place either continuously following the bifurcation solutions starting from this bifurcation point or discontinuously with a jump at this point. The criteria for discriminating the continuity and discontinuity of such a transition were given. In addition, we also obtained the lower and upper limits of the precise critical size of single-domain, and also its exact value in particular cases.</p> <br/>Acta Physica Sinica. 1981 30(12): 1637-1648. Published 1981-06-05 Author(s): LI BO-ZANG, PU FU-CHO <br/><p>The problem of formation of incipient magnetic domain in the scheme of Brown's equation is one of the typical problems of bifurcation. A scale transformation is introduced, so that the size of a ferromagnetic body appears explicitly as a parameter in the expressions of free energy and Brown's equation. We generalize the perturbation method in bifurcation theory to study the initial bifurcation of Brown's equation. After an analysis of the stability of single-domain state and bifurcation solutions, we arrived at the conclusion that the critical size of incipient domain formation equals to the smallest positive bifurcation point of size parameter and the process of incipient domain formation takes place either continuously following the bifurcation solutions starting from this bifurcation point or discontinuously with a jump at this point. The criteria for discriminating the continuity and discontinuity of such a transition were given. In addition, we also obtained the lower and upper limits of the precise critical size of single-domain, and also its exact value in particular cases.</p> <br/>Acta Physica Sinica. 1981 30(12): 1637-1648. Published 1981-06-05 BIFURCATION SOLUTIONS OF BROWN'S EQUATION AND PROBLEM OF FORMATION OF INCIPIENT MAGNETIC DOMAIN LI BO-ZANG, PU FU-CHO 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1637-1648. article doi:10.7498/aps.30.1637 10.7498/aps.30.1637 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1637 1637-1648 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1649 Author(s): ZHANG YANG-ZHONG <br/><p>In this paper, the electron magnetic-drift waves have been treated by the renorma-lization theory in the drift approximation with shear-free magnetic field, and its relations with the anomalous electron transport on Tokamak's analyzed. The resultant diffusion coefficient D⊥～(ωpe(T/eB0Lnk⊥2) roughly agrees with the present Tokamak experiments.</p> <br/>Acta Physica Sinica. 1981 30(12): 1649-1658. Published 1981-06-05 Author(s): ZHANG YANG-ZHONG <br/><p>In this paper, the electron magnetic-drift waves have been treated by the renorma-lization theory in the drift approximation with shear-free magnetic field, and its relations with the anomalous electron transport on Tokamak's analyzed. The resultant diffusion coefficient D⊥～(ωpe(T/eB0Lnk⊥2) roughly agrees with the present Tokamak experiments.</p> <br/>Acta Physica Sinica. 1981 30(12): 1649-1658. Published 1981-06-05 NON-LINEAR ELECTRON MAGNETIC-DRIFT WAVES ZHANG YANG-ZHONG 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1649-1658. article doi:10.7498/aps.30.1649 10.7498/aps.30.1649 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1649 1649-1658 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1659 Author(s): LI ZI-PING <br/><p>The motion of constrained system may be described in terms of non-independent state functions. We considered the change of the action integral and constraint equations under the infinitesimal transformation of the time-space points and state functions of the constrained system, this leads to the general transformation result. We obtained the general equations for the transformation properties of constrained system along the trajectory of motion of that system. From these equations, the condition under which the transformation of constrained system yields conservation law can be worked out. For some specific transformations of the continuous system, we have found the equations of transformation properties. In the special cases, the general equations of transformation properties can be reduced to the results the classical Noether's theorem, The application of general results to classical mechanics is discussed in detail and the Poincare-Cartan invariant is generalized to the constrained system.</p> <br/>Acta Physica Sinica. 1981 30(12): 1659-1671. Published 1981-06-05 Author(s): LI ZI-PING <br/><p>The motion of constrained system may be described in terms of non-independent state functions. We considered the change of the action integral and constraint equations under the infinitesimal transformation of the time-space points and state functions of the constrained system, this leads to the general transformation result. We obtained the general equations for the transformation properties of constrained system along the trajectory of motion of that system. From these equations, the condition under which the transformation of constrained system yields conservation law can be worked out. For some specific transformations of the continuous system, we have found the equations of transformation properties. In the special cases, the general equations of transformation properties can be reduced to the results the classical Noether's theorem, The application of general results to classical mechanics is discussed in detail and the Poincare-Cartan invariant is generalized to the constrained system.</p> <br/>Acta Physica Sinica. 1981 30(12): 1659-1671. Published 1981-06-05 THE TRANSFORMATION PROPERTIES OF CONSTRAINED SYSTEM LI ZI-PING 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1659-1671. article doi:10.7498/aps.30.1659 10.7498/aps.30.1659 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1659 1659-1671 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1672 Author(s): MING NAI-BEN, HONG JING-FEN, SUN ZHENG-MIN, YANG YONG-SHUN <br/><p>We intentionally render the rotational axis of growing crystal to deviate from the symmetry axis of the temperature field, the temperature fluctuations with sinusoidal form in meniscus are produced. The one-to-one correspondance between speed of crystal revolution temperature fluctuations, surface growth striations and interior growth striations have been demonstrated.</p> <br/>Acta Physica Sinica. 1981 30(12): 1672-1675. Published 1981-06-05 Author(s): MING NAI-BEN, HONG JING-FEN, SUN ZHENG-MIN, YANG YONG-SHUN <br/><p>We intentionally render the rotational axis of growing crystal to deviate from the symmetry axis of the temperature field, the temperature fluctuations with sinusoidal form in meniscus are produced. The one-to-one correspondance between speed of crystal revolution temperature fluctuations, surface growth striations and interior growth striations have been demonstrated.</p> <br/>Acta Physica Sinica. 1981 30(12): 1672-1675. Published 1981-06-05 ROTATIONAL STRIATIONS IN CZOCHRALSKI-GROWN LiNbO3 SINGLE CRYSTALS MING NAI-BEN, HONG JING-FEN, SUN ZHENG-MIN, YANG YONG-SHUN 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1672-1675. article doi:10.7498/aps.30.1672 10.7498/aps.30.1672 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1672 1672-1675 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1676 Author(s): XIAO CHAO-MANG, LU KUN-QUAN, ZHU BO-LIAN, WANG CHANG-QING <br/><p>The constitutional supercooling in single crystal grown by Czoehralski method has been studied by observing grind and polished and etched specimen with microscopy method. Structure transition temperature of the SNLN crystals has been studied under high temperature utilizing polarization lightmicroscope. The constitutional supercooling and internal growth striation in the SNLN crystals have been overcome and the optical homogeneity of the crystals have been improved by employing optimum growth condition and technique.</p> <br/>Acta Physica Sinica. 1981 30(12): 1676-1680. Published 1981-06-05 Author(s): XIAO CHAO-MANG, LU KUN-QUAN, ZHU BO-LIAN, WANG CHANG-QING <br/><p>The constitutional supercooling in single crystal grown by Czoehralski method has been studied by observing grind and polished and etched specimen with microscopy method. Structure transition temperature of the SNLN crystals has been studied under high temperature utilizing polarization lightmicroscope. The constitutional supercooling and internal growth striation in the SNLN crystals have been overcome and the optical homogeneity of the crystals have been improved by employing optimum growth condition and technique.</p> <br/>Acta Physica Sinica. 1981 30(12): 1676-1680. Published 1981-06-05 INVESTIGATION OF CONSTITUTIONAL SUPERCOOLING IN LITHIUM SODIUM STRONTIUM NIOBATE CRYSTALS GROWN BY CZOCHRALSKI METHOD AND IMPROVEMENT OF CRYSTAL QUALITY XIAO CHAO-MANG, LU KUN-QUAN, ZHU BO-LIAN, WANG CHANG-QING 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1676-1680. article doi:10.7498/aps.30.1676 10.7498/aps.30.1676 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1676 1676-1680 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1681 Author(s): ZHENG QI-TAI, ZHENG CHAO-DE, SHEN FU-LING, BAI XION-LING, ZHONG FU-MING <br/><p>Benzoyl Perfluoro-propenyl Methylene Triphenglarsorance (Ylid-VI) crystal is colourless and transparent. The space group is C2H5-P21/a. The crystal belongs to monoclinic system. The parameters of unit cell are a = 10.365 (8)?, b = 29.106 (4)?, c = 8.630 (8)?, β = 107.20 (28)°. There are four molecules in an unit cell (z = 4). The intensity data were collected on PW-1100 four circle diffraetometer, the total number diffraction amounts to 4966. The Ylid-VI crystal structure has been refined by means of block matrix least square method, R = 0.067.The molecular structure of Ylid-VI indicats that there occurs a eletronic transition between the arsenic atom and the carbon atom in the methene.</p> <br/>Acta Physica Sinica. 1981 30(12): 1681-1687. Published 1981-06-05 Author(s): ZHENG QI-TAI, ZHENG CHAO-DE, SHEN FU-LING, BAI XION-LING, ZHONG FU-MING <br/><p>Benzoyl Perfluoro-propenyl Methylene Triphenglarsorance (Ylid-VI) crystal is colourless and transparent. The space group is C2H5-P21/a. The crystal belongs to monoclinic system. The parameters of unit cell are a = 10.365 (8)?, b = 29.106 (4)?, c = 8.630 (8)?, β = 107.20 (28)°. There are four molecules in an unit cell (z = 4). The intensity data were collected on PW-1100 four circle diffraetometer, the total number diffraction amounts to 4966. The Ylid-VI crystal structure has been refined by means of block matrix least square method, R = 0.067.The molecular structure of Ylid-VI indicats that there occurs a eletronic transition between the arsenic atom and the carbon atom in the methene.</p> <br/>Acta Physica Sinica. 1981 30(12): 1681-1687. Published 1981-06-05 DETERMINATION OF CRYSTAL STRUCTURE OF BENZOYL PERFLUORO-PROPENYL METHYLENE TRIPHENY-LARSORANCE (YLID-VI) ZHENG QI-TAI, ZHENG CHAO-DE, SHEN FU-LING, BAI XION-LING, ZHONG FU-MING 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1681-1687. article doi:10.7498/aps.30.1681 10.7498/aps.30.1681 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1681 1681-1687 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1688 Author(s): ZHU XI-WEN <br/><p>A few analytical expressions for the observables in a quantum beat experiment is derived, which can be used to describe the experimental results and to obtain the fs splitting in sodium D states. The, change of the n2D states of sodium atoms in a weak electric field is also discussed.</p> <br/>Acta Physica Sinica. 1981 30(12): 1688-1692. Published 1981-06-05 Author(s): ZHU XI-WEN <br/><p>A few analytical expressions for the observables in a quantum beat experiment is derived, which can be used to describe the experimental results and to obtain the fs splitting in sodium D states. The, change of the n2D states of sodium atoms in a weak electric field is also discussed.</p> <br/>Acta Physica Sinica. 1981 30(12): 1688-1692. Published 1981-06-05 REMARKS ON QUANTUM BEAT EXPERIMENT OF HIGHLY EXCITED SODIUM ATOMS ZHU XI-WEN 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1688-1692. article doi:10.7498/aps.30.1688 10.7498/aps.30.1688 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1688 1688-1692 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1693 Author(s): WU HANG-SHENG, GU YI-MING <br/><p>The Tc formula obtained in the previous two papers of this series is generalized to the following form: Tc=αωlog(ωlog/ωc)(μ*/(λ-μ*))exp{-(1+λ)/(λ-μ*)}, and a set of equations to be used to calculate the function a, is derived from the linear Eliashberg equation. a is a function of λ and μ* in general. In the weak coupling limit, we obtain a = 2γ/π from the set of equations mentioned above, where Inγ = C = 0.5772 is the Euler constant. Hence the Tc formula obtained in the two previous papers is correct in the same limit. We further calculate numerically the value of a when λ=0.23, 0.25, 0.38 and 0.48 from the set of equations mentioned above for the case of the Einstein spectrum and μ*= 0. Our results show that at least, in the interval 0.23 ≤λ≤ 0.48, a is vary small and equal to 1/1.30 approximately. With this value of a, the Tc formula obtained by us reduce practically to the empirical McMillan Tc formula in the version proposed by Allen and Dynes.</p> <br/>Acta Physica Sinica. 1981 30(12): 1693-1698. Published 1981-06-05 Author(s): WU HANG-SHENG, GU YI-MING <br/><p>The Tc formula obtained in the previous two papers of this series is generalized to the following form: Tc=αωlog(ωlog/ωc)(μ*/(λ-μ*))exp{-(1+λ)/(λ-μ*)}, and a set of equations to be used to calculate the function a, is derived from the linear Eliashberg equation. a is a function of λ and μ* in general. In the weak coupling limit, we obtain a = 2γ/π from the set of equations mentioned above, where Inγ = C = 0.5772 is the Euler constant. Hence the Tc formula obtained in the two previous papers is correct in the same limit. We further calculate numerically the value of a when λ=0.23, 0.25, 0.38 and 0.48 from the set of equations mentioned above for the case of the Einstein spectrum and μ*= 0. Our results show that at least, in the interval 0.23 ≤λ≤ 0.48, a is vary small and equal to 1/1.30 approximately. With this value of a, the Tc formula obtained by us reduce practically to the empirical McMillan Tc formula in the version proposed by Allen and Dynes.</p> <br/>Acta Physica Sinica. 1981 30(12): 1693-1698. Published 1981-06-05 AN ANALYTIC DERIVATION FOR THE MCMILLAN Tc FORMULA (Ⅲ) WU HANG-SHENG, GU YI-MING 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1693-1698. article doi:10.7498/aps.30.1693 10.7498/aps.30.1693 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1693 1693-1698 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1699 Author(s): LI ZI-PING <br/><p>The motion of constrained system may be described in terms of the non-independent state functions. Suppose the action integral and constraint conditions of this system are invariant under the symmetry transformations of the time-space points and state functions, then we can generalize the Noether's theorem to this constrained system. In general, it does not yield the conservation laws as ordinary Noether's theorem. However, when the system only subjects to finite constraint, the generalized Noether's theorem can reduce to the results as ordinary Noether's theorem.</p> <br/>Acta Physica Sinica. 1981 30(12): 1699-1706. Published 1981-06-05 Author(s): LI ZI-PING <br/><p>The motion of constrained system may be described in terms of the non-independent state functions. Suppose the action integral and constraint conditions of this system are invariant under the symmetry transformations of the time-space points and state functions, then we can generalize the Noether's theorem to this constrained system. In general, it does not yield the conservation laws as ordinary Noether's theorem. However, when the system only subjects to finite constraint, the generalized Noether's theorem can reduce to the results as ordinary Noether's theorem.</p> <br/>Acta Physica Sinica. 1981 30(12): 1699-1706. Published 1981-06-05 THE SYMMETRY TRANSFORMATIONS OF THE CONSTRAINED SYSTEM LI ZI-PING 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1699-1706. article doi:10.7498/aps.30.1699 10.7498/aps.30.1699 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1699 1699-1706 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1707 Author(s): WANG JIA-ZHU, BI PIN-ZHEN, YIN PENG-CHENG <br/><p>The static prolate ellipsolidal bag model is discussed in this paper, and it is compared with the spherical bag model and the string-like bag model. The relations between the ellipsolid shape and the energy and 2d, the separation between quarks, are obtained. The cases for B=0 and σ=0 are discussed respectively.</p> <br/>Acta Physica Sinica. 1981 30(12): 1707-1712. Published 1981-06-05 Author(s): WANG JIA-ZHU, BI PIN-ZHEN, YIN PENG-CHENG <br/><p>The static prolate ellipsolidal bag model is discussed in this paper, and it is compared with the spherical bag model and the string-like bag model. The relations between the ellipsolid shape and the energy and 2d, the separation between quarks, are obtained. The cases for B=0 and σ=0 are discussed respectively.</p> <br/>Acta Physica Sinica. 1981 30(12): 1707-1712. Published 1981-06-05 PROLATE ELLIPSOLIDAL BAG MODEL FOR THE HADRON WITH HEAVY QUARKNIUM WANG JIA-ZHU, BI PIN-ZHEN, YIN PENG-CHENG 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1707-1712. article doi:10.7498/aps.30.1707 10.7498/aps.30.1707 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1707 1707-1712 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1713 Author(s): WANG YONG-JIU, TANG ZHI-MING <br/><p>In this paper, according to the VGM theory of gravitation, we have found, under certain conditions, the vector graviton field and the metric field of an infinitely long mass line, and compared it with the solution of G.E. field equation (Kasner metric).</p> <br/>Acta Physica Sinica. 1981 30(12): 1713-1716. Published 1981-06-05 Author(s): WANG YONG-JIU, TANG ZHI-MING <br/><p>In this paper, according to the VGM theory of gravitation, we have found, under certain conditions, the vector graviton field and the metric field of an infinitely long mass line, and compared it with the solution of G.E. field equation (Kasner metric).</p> <br/>Acta Physica Sinica. 1981 30(12): 1713-1716. Published 1981-06-05 REVISION OF KASNER METRIC BY VGM-GRAVITATION THEORY WANG YONG-JIU, TANG ZHI-MING 1981-06-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1981 30(12): 1713-1716. article doi:10.7498/aps.30.1713 10.7498/aps.30.1713 Acta Physica Sinica 30 12 1981-06-05 //m.getgobooth.com/en/article/doi/10.7498/aps.30.1713 1713-1716