On the possibility of having different Bravais lattices connected thermodynamically

被引:11
作者
Ericksen, JL
机构
[1] Florence, OR 97439-8320
关键词
D O I
10.1177/108128659600100102
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
`It is generally accepted that the simplest kinds of crystals exhibit 14 kinds of symmetry, the Bravais lattices described in texts treating crystals. Briefly, Bravais's idea was to regard two configurations as having the same symmetry provided they can be connected by a special kind of path, in the space of lattice vectors. However, with his assumptions, he overlooked the possibility that some of the 14 can be joined by such paths, which reduces the 14 to 11. To be explored is the question of whether paths found to connect the different Bravais lattices are thermodynamically possible, when pressure and temperature are suitably controlled.
引用
收藏
页码:5 / 24
页数:20
相关论文
共 14 条
[1]  
[Anonymous], 1957, ELEMENTS CLASSICAL T
[2]   PROPOSED EXPERIMENTAL TESTS OF A THEORY OF FINE MICROSTRUCTURE AND THE 2-WELL PROBLEM [J].
BALL, JM ;
JAMES, RD .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1992, 338 (1650) :389-450
[3]   RESTRICTIONS ON MICROSTRUCTURE [J].
BHATTACHARYA, K ;
FIROOZYE, NB ;
JAMES, RD ;
KOHN, RV .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1994, 124 :843-878
[4]  
Bravais A., 1850, Journal de l'Ecole polytechnique, V33, P1
[5]  
ERICKSEN JL, 1979, ARCH RATION MECH AN, V72, P1, DOI 10.1007/BF00250733
[6]  
ERICKSEN JL, IN PRESS MECCANICA
[7]  
Gibbs J.W., 1878, Trans. Connecticut Acad. Arts Sci., V16, P343
[8]  
GIBBS JW, 1875, T CONNECTICUT ACAD, V3, P108
[9]  
Love A. E. H., 2013, TREATISE MATH THEORY, V1
[10]   MATERIAL STABILITY, THE GIBBS CONJECTURE AND THE 1ST PHASE RULE FOR SUBSTANCES [J].
MAN, CS .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1985, 91 (01) :1-53