Open AccessDISCRIMINATION OF THE STABILITY OF SIMULTANEOUS EQUATIONS FOR OBTAINING LATTICE CONSTANTS OF LOW-SYMMETRY CRYSTAL SYSTEMS
Author(s) -
Chucai Guo,
YuChun Huang,
Yao Gong-Da,
Liu Yun-Ji
Publication year - 1985
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.34.567
Subject(s) - lattice (music) , lattice constant , coefficient matrix , crystal system , simultaneous equations , inverse , symmetry (geometry) , physics , mathematical analysis , crystal structure , mathematics , quantum mechanics , differential equation , chemistry , crystallography , geometry , diffraction , acoustics , eigenvalues and eigenvectors
Some combinations of simultaneous equations for obtaining lattice constants of low-symmetry crystal systems can lead to a serious accumulation of errors and the formation of abnormal state equations. A method of solving the nermal state equations to obtain lattice constants by using the inverse matrix to discriminate the stability of simultaneous equations is given in this paper. Pratical example proves that the method is quite explicit and reliable and satisfactory results can be obtained.