四面体分子筛非线性振动的对称性
Symmetries of Nonlinear Vibrations in Tetrahedral Molecular Configurations
摘要：
我们研究了四面体构型粒子的非线性振动模式。在四磷的情况下，原子的相互作用由键拉伸和范德华力给出。利用等变梯度度，我们给出了周期解时空对称性的完整拓扑分类。这个过程给出了一般力场下非线性振动的所有对称性。
英文摘要：
We study nonlinear vibrational modes of oscillations for tetrahedral configurations of particles. In the case of tetraphosphorus, the interaction of atoms is given by bond stretching and van der Waals forces. Using equivariant gradient degree, we present a full topological classification of the spatio-temporal symmetries of the periodic solutions. This procedure gives all the symmetries of the nonlinear vibrations for general force fields.
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