摘要
晶体的稳定性条件可以由两种方法得出,其一为晶体的弹性劲度系数矩阵的各阶雅可比顺序主子式均大于零,另一方法为弹性劲度系数矩阵的本征值均大于零.以六方晶系晶体为例,分别用以上两种方法求解晶体的稳定性条件,所得结果在数学上是一致的.阐述了两种计算方法的物理意义及应用.
Conditions for crystal stability can be obtained by two means： Jacobi ordered-main subdeterminant of elastic coefficient matrix of crystal is definitely positive; the other is that the eigenvalues of elastic constant matrix of crystal are all larger than zero. The stability conditions of hexagonal system are calculated by the above two means respectively. The same result is obtained in mathematical treatment. The significance and application of the two methods are also highlighted.
出处
《河北工业大学学报》
CAS
北大核心
2011年第6期66-69,共4页
Journal of Hebei University of Technology
基金
河北省自然科学基金(2011202122)
河北省教育厅自然科学研究指令项目(2008114)
关键词
稳定性条件
雅可比顺序主子式
本征值
六方晶系
stable conditions
Jacobi ordered-main subdeterminant
eigenvalue
hexagonal system
elastic constant matrix
