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Elements of tensors of the excited vibration form of molecules

机译:分子的激发振动形式的张量元素

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Abstract: In the present work the algebraic method of modeling of internal vibrational coordinates for excited vibrational transitions is proposed. Within the framework of this method, the internal vibrational coordinates are presented as polylinear forms, which depend on the corresponding powers of normal coordinates. The coefficients in these polylinear forms are the sought-for elements of higher-order tensors for valent and deformation vibrations of spherical- symmetry molecules. Using the formulae obtained, the calculations of coefficients L$-i$/$+rs$/, L$-i$/$+rst$/, L$-i$/$+rstk$/ have been performed for the molecules of methane CH$-4$/ and deutero-substituted methane CD$-4$/.!7
机译:摘要:在本工作中,提出了一种用于激发振动跃迁的内部振动坐标建模的代数方法。在此方法的框架内,内部振动坐标表示为多线性形式,这取决于法向坐标的相应功效。这些多线性形式的系数是球对称分子的价变和形变振动的高阶张量所需要的元素。使用获得的公式,对分子进行了系数L $ -i $ / $ + rs $ /,L $ -i $ / $ + rst $ /,L $ -i $ / $ + rstk $ /的计算甲烷CH $ -4 $ /和氘代甲烷CD $ -4 $ /。!7

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