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从头计算中的多收敛点问题Ⅰ——同核双原子分子自洽迭代中的假收敛及其物理实质

Multiconvergence Points Problem in ab initio Calculation Ⅰ.——False Convergence and Its Physical Essence in Self-Consistent Field Iterative Calculations

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【作者】 吴国是; 廖沐真;

【Author】 Wu Guoshi Liao MuzhenDepartment of Chemistry and Chemical Engineering,Tsinghua University,Beijing,China

【机构】 北京清华大学化学与化学工程系;

【摘要】 N2,O2和P2等同核双原子分子在从头计算自洽迭代过程中,通常出现两个或两个以上的收敛点.本文通过对基态和最低三重激发态N2分子算例的研究,阐明了假收敛点出现的原因,提出了假收敛点存在的必要条件,揭示了多收敛点物理实质,为解决假收敛问题提供了理论依据.

【Abstract】 There are usually two or more than two convergence points in SCF iterative process of ab initio calculations for some homonuclear diatomic molecules such as N2, O2, P2,etc. In this paper through studying ground and lowest triplet excited state N2, the reason of appearance of false convergence points is interpreted that occupied orbital mismatch inverting the frontier orbital energy level in SCF iteration make Roothaan equation self-consistent in higher energy excited state. The necessary conditions of false convergence points are proposed. The announcement of the physical essence of the false convergence points may offer an important theoretical fundation for solving false convergence problem.

【基金】 中国科学院科学基金资助的课题
  • 【文献出处】 分子科学学报 ,Journal of Molecular Science , 编辑部邮箱 ,1984年02期
  • 【下载频次】18
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