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Vibrational energy levels of formaldehyde calculated from an internal coordinate hamiltonian using the Lanczos algorithm

✍ Scribed by André McNichols; Tucker Carrington Jr.


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
645 KB
Volume
202
Category
Article
ISSN
0009-2614

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✦ Synopsis


By choosing the discrete points associated with basis functions which compactly represent vibrational wavefunctions, but yield a sparse Hamiltonian matrix with a well-defined, easily exploitable structure, WC are able to apply Lanczos' algorithm efficiently to compute the lowest eigenvalues of variational matrices as large as 1000000~ 1000000 to obtain many vibrational states. We use an exact kinetic energy operator in bond angle-bond length coordinates to calculate energy levels of formaldehyde.