کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10349806 863716 2009 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Solving the vibrational Schrödinger equation on an arbitrary multidimensional potential energy surface by the finite element method
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی تئوریک و عملی
پیش نمایش صفحه اول مقاله
Solving the vibrational Schrödinger equation on an arbitrary multidimensional potential energy surface by the finite element method
چکیده انگلیسی
A computational protocol has been developed to solve the bounded vibrational Schrödinger equation for up to three coupled coordinates on any given effective potential energy surface (PES). The dynamic Wilson G-matrix is evaluated from the discrete PES calculations, allowing the PES to be parametrized in terms of any complete, minimal set of coordinates, whether orthogonal or non-orthogonal. The partial differential equation is solved using the finite element method (FEM), to take advantage of its localized basis set structure and intrinsic scalability to multiple dimensions. A mixed programming paradigm takes advantage of existing libraries for constructing the FEM basis and carrying out the linear algebra. Results are presented from a series of calculations confirming the flexibility, accuracy, and efficiency of the protocol, including tests on FHF−, picolinic acid N-oxide, trans-stilbene, a generalized proton transfer system, and selected model systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Physics Communications - Volume 180, Issue 11, November 2009, Pages 2079-2094
نویسندگان
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