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Titlebook: Geometrical Derivatives of Energy Surfaces and Molecular Properties; Poul Jørgensen,Jack Simons Book 1986 D. Reidel Publishing Company, Do

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书目名称Geometrical Derivatives of Energy Surfaces and Molecular Properties
编辑Poul Jørgensen,Jack Simons
视频video
丛书名称Nato Science Series C:
图书封面Titlebook: Geometrical Derivatives of Energy Surfaces and Molecular Properties;  Poul Jørgensen,Jack Simons Book 1986 D. Reidel Publishing Company, Do
描述The development and computational implementation of analytical expres­ sions for the low-order derivatives of electronic energy surfaces and other molecular properties has undergone rapid growth in recent years. It is now fairly routine for chemists to make use of energy gradient information in locating and identifying stable geometries and transition states. The use of second analytical derivative (Hessian or curvature) expressions is not yet routine, and third and higher energy derivatives as well as property (e.g., dipole moment, polarizability) derivatives are just beginning to be applied to chemical problems. This NATO Advanced Research Workshop focused on analyzing the re­ lative merits of various strategies for deriving the requisite analyti­ cal expressions, for computing necessary integral derivatives and wave­ function parameter derivatives, and for efficiently coding these expres­ sions on conventional scalar machines and vector-oriented computers. The participant list contained many scientists who have been instrumen­ tal in bringing this field to fruition as well as eminent scientists who have broad knowledge and experience in quantum chemistry in general.
出版日期Book 1986
关键词Configuration Interaction; H2O2; Transition state; chemistry; cluster; density; development; electron; energ
版次1
doihttps://doi.org/10.1007/978-94-009-4584-5
isbn_softcover978-94-010-8537-3
isbn_ebook978-94-009-4584-5Series ISSN 1389-2185
issn_series 1389-2185
copyrightD. Reidel Publishing Company, Dordrecht, Holland 1986
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MCSCF Analytical Energy Derivatives Using a Response Function Approach,Using the response function approach it is shown how the formal expressions may be derived for the MCSCF molecular gradient and Hessian.
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MBPT Evaluation of Energy Derivatives Using Fock-Operator Methods,A general theory of differentiation of the energy with respect to many variables is introduced. One of these variables may be the electron correlation parameter introduced in Moller-Plesset theory. Cross derivatives then lead to expressions for the effect of correlation on various physical properties of molecules.
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The Calculation of Dipole Moment and Polarizability Derivatives with SCF Wavefunctions,The techniques required for the evaluation of dipole moment and polarizability derivatives are discussed. Several alternative formulae are given for the polarizability derivatives.
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Geometrical Derivatives of Frequency-Dependent Properties,Response functions and susceptibilities through third order have been developed. Geometrical derivatives relevant for Raman- and hyper-Raman spectroscopy are obtained. The derivatives of one- and two- photon transition matrix elements are derived. Direct MCSCF techniques can be invoked to calculate the derivatives.
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