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A new algorithm for inactive orbital optimization in valence bond theory
Authors:ZhenHua Chen  QianEr Zhang  Wei Wu
Institution:(1) Department of Medicinal Chemistry and Natural Products, School of Pharmacy, The Lise Meitner-Minerva Center for Computational Quantum Chemistry, The Hebrew University of Jerusalem, Jerusalem, 91120, Israel
Abstract: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.
Keywords:
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