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An effective computational approach to the calculation of the vibration-rotation spectra of triatomic molecules

✍ Scribed by B.T. Sutcliffe; S. Miller; J. Tennyson


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
699 KB
Volume
51
Category
Article
ISSN
0010-4655

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✦ Synopsis


The results of some highly accurate non-empirical ro-vibrational calculations on H 2D~are reported including some for J 30 which are the first calculations to describe such a highly rotationally excited state. These results are obtained using an improved version of our algorithm. The method used is a variational one and is well adapted to execution on supercomputers. The computational characteristics of the performance the method on the CRAY Is and the CRAY XMP 48 are given.

'~Td: computer time required to diagonalise matrix and obtain lowest 20 eigenvalues, for CRAY is runs, and lowest 47 eigenvalues, for CRAY-XMP 48 run.


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The rotation-vibration spectra of diatomic molecules are discussed with the aid of the SO ( 2.1) dynamic group. The eigenvector of the compact generator is explicitly obtained by realizing the generators in the four-dimensional polar coordinates. A special representation of the radial part of the ge