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INDEPENDENT CENTER, INDEPENDENT ELECTRON APPROXIMATION FOR DYNAMICS OF MOLECULES AND CLUSTERS

机译:分子和团簇动力学的独立中心,独立电子逼近

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A formalism is developed for evaluating probabilities and cross sections for multiple-electron transitions in scattering of molecules and clusters by charged collision partners. First, the molecule is divided into subclusters each made up of identical centers (atoms). Within each subcluster coherent scattering from identical centers may lead to observable phase terms and a geometrical structure factor. Then, using a mean field approximation to describe the interactions between centers we obtain A(I) similar to Sigma(k) Pi(k)e(i delta k)IA(Ik). Second, the independent electron approximation for each center may be obtained by neglecting the correlation between electrons in each center. The probability amplitude for each center is then a product of single electron transition probability amplitudes, a(Ik)(i), i.e. A(Ik)approximate to Pi(i)a(ik)(i). Finally, the independent subcluster approximation is introduced by neglecting the interactions between different subclusters in the molecule or cluster. The total probability amplitude then reduces to a simple product of amplitudes for each subcluster, A approximate to Pi(I)A(I). Limitations of this simple approximation are discussed. (C) 1996 American Institute of Physics. [References: 36]
机译:建立了形式主义用于评估带电碰撞分子在分子和簇的散射中的多电子跃迁的概率和截面。首先,将分子分为多个子簇,每个子簇由相同的中心(原子)组成。在每个子集群中,来自相同中心的相干散射可能导致可观察到的相位项和几何结构因子。然后,使用平均场近似描述中心之间的相互作用,我们获得类似于Sigma(k)Pi(k)e(i delta k)IA(Ik)的A(I)。第二,可以通过忽略每个中心的电子之间的相关性来获得每个中心的独立电子近似。那么每个中心的概率幅度是单个电子跃迁概率幅度a(Ik)(i)的乘积,即A(Ik)近似于Pi(i)a(ik)(i)。最后,通过忽略分子或簇中不同子簇之间的相互作用来引入独立的子簇近似。然后,总概率振幅减小为每个子集群的振幅的简单乘积,近似于Pi(I)A(I)。讨论了这种简单近似的局限性。 (C)1996年美国物理研究所。 [参考:36]

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