The rotated-Morse curve cubic spliie method developed previously is extended to bent triatomic molecules by usinS 25 cubic splmes. The Yates-Lester potential for bent Hs is shown to be accurately fitted over the entire raqe of the three internal coordinates, with a standard deviation of less than 1
A fitting program for potential energy surfaces of bent triatomic molecules
โ Scribed by D.J. Searles; E.I. von Nagy-Felsobuki
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 534 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0010-4655
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โฆ Synopsis
A program has been developed in order to fit analytical power series expansions (Dunham, Simon-Parr-Finlan, Ogilvie and their exponential variants) and Padรฉ approximants to discrete ab initio potential energy surfaces of non-linear triatomic molecules. The program employs standard least-squares fitting techniques using the singular decomposition method in order to dampen the higher-order coefficients (if deemed necessary) without significantly degrading the fit. The program makes full use of the symmetry of a triatomic molecule and so addresses the D 15, C2~and C5 cases.
๐ SIMILAR VOLUMES
A coordinate representation for a polenlial energy surface is derived usmg the semiclassical hmil of the algebrax Hamihonian This provides a direct route rrom the observed ovenone spectrum IO a potential. The limilalions of this potenual are noted. Applicallons lo HCN. H,O. SO2 and 0, are reported.
The Wall-Porter method of rotating a hlorse function to construct poiential energy surfaces for colLnez~ atom-diatom chemical reactions is modified by using a numerical spline interpolation technique. This procedure is shown to have BP-at fk.uibility in giving a potential surface desired characteris
We present in this paper a mapping of t&tic ttnee-dimmsiond Born-Oppenheimer potential enera 'surfaces Y for ivhich'all arrangement ckumels are r-presented evenhandedI)-. This representation is very USefUl for viwalizing the geometical and dynamical properties of such surfaces..
A triangular plot of triatomlc potential energy surfaces is suggested in which the hidden coordinate -the perimeter of the molecule or the sum of squares of the three bond distances -is allowed to relax in order to give the lowest potential energy. This graphIcal representation preserves the full pe
Rcceivcd 7 July 1976 AnalyticA cxprcssions for the He-112 potential energy surface h.we been obtained by non-lmcar constrained optimiration techniques. \* Regarding methods for unconstrained minimization see e.g. ref. [4]. Descriptions of the subroutines BROMG and BROMSP and MINEQ (for constrained m