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A new algorithm for inactive orbital optimization in valence bond theory 被引量:1

A new algorithm for inactive orbital optimization in valence bond theory
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摘要 This paper presents an efficient algorithm for energy gradients in valence bond self-consistent field(VBSCF) method with non-orthogonal orbitals.The frozen core approximation method is extended to the case of non-orthogonal orbitals.The expressions for the total energy and its gradients are presented by introducing auxiliary orbitals,where inactive orbitals are orthogonal,while active orbitals are non-orthogonal themselves but orthogonal to inactive orbitals.It is shown that our new algorithm has a low scaling of(Na+1)m4,where Na and m are the numbers of the active orbitals and basis functions,respectively,and is more efficient than the existing VBSCF algorithms. This paper presents an efficient algorithm for energy gradients in valence bond self-consistent field (VBSCF) method with non-orthogonal orbitals. The frozen core approximation method is extended to the case of non-orthogonal orbitals. The expressions for the total energy and its gradients are presented by introducing auxiliary orbitals, where inactive orbitals are orthogonal, while active orbitals are non-orthogonal themselves but orthogonal to inactive orbitals. It is shown that our new algorithm has a low scaling of (N a + 1)m 4, where N a and m are the numbers of the active orbitals and basis functions, respectively, and is more efficient than the existing VBSCF algorithms.
出处 《Science China Chemistry》 SCIE EI CAS 2009年第11期1879-1884,共6页 中国科学(化学英文版)
基金 Supported by the National Natural Science Foundation of China (Grant Nos. 20533020, 20873106) the National Basic Research Program of China (Grant No. 204CB719902)
关键词 VALENCE BOND THEORY non-orthogonal ORBITALS GRADIENT valence bond theory non-orthogonal orbitals gradient
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