首页> 外文期刊>Journal of Molecular Structure. Theochem: Applications of Theoretical Chemistry to Organic, Inorganic and Biological Problems >Propagator matrices as matrices of power's series. I. Its zeroth-order and the Pople-Santry model
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Propagator matrices as matrices of power's series. I. Its zeroth-order and the Pople-Santry model

机译:传播矩阵是幂级数矩阵。一,它的零阶和波普尔桑特里模型

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摘要

The implementation and calculation of the principal propagator matrix elements as a power's series are presented. The scheme is applied to singlet- and triplet-type properties at random phase approach (RPA) level of approximation. Its application to both the polarizability and the J-NMR spectroscopic parameter by using localized molecular orbitals shows (i) any element of the principal propagator matrix can be expressed as a series, (ii) each series has a different rate of convergence which depends on the type of property analyzed, the model compound and the relative magnitude of the first element of that series, (iii) the Pople-Santry model is related with the first element of each series, (iv) convergence also depends on stability conditions, and (v) this scheme can easily be applied to ab initio post-RPA calculation of molecular properties.
机译:介绍了作为幂级数的主要传播矩阵元素的实现和计算。该方案应用于随机相逼近(RPA)级别的单重态和三重态类型。通过使用局部分子轨道将其应用于极化率和J-NMR光谱参数均显示(i)主传播基质的任何元素都可以表示为一个系列,(ii)每个系列具有不同的收敛速度,具体取决于分析的性质类型,模型组合以及该系列第一个元素的相对大小,(iii)Pople-Santry模型与每个系列的第一个元素相关;(iv)收敛还取决于稳定性条件,以及(v)该方案可以很容易地应用于从头开始的RPA后分子特性的计算。

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