We demonstrate how the Metropolis simulated annealing method, a global stochastic minimizer, can also be used as an all-purpose extremizer capable of locating all the local minima and saddle points on a given surface, in addition to the global minimum. The demonstration is done with reference to the
Bridged and linear dilithioacetylenes - Two minima on the potential energy surface?
β Scribed by James P. Ritchie
- Book ID
- 104219566
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- French
- Weight
- 243 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0040-4039
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β¦ Synopsis
Vibrational frequency calculations at the 6-31G*, 6-31G and STO-3G levels in addition to an STO-3G basis set with only a Is orbital on lithium reveal that both bridged and linear dlllthloacetylenes are minima on the potential energy surface A number of recent theoretical calculations have indicated that llthlocarbons may violate classical ideas of valence bonding For example, molecular orbital calculations by Schleyer et al have indicated that dlllthloacetylene may prefer a bridged structure, as shown by 1, rather than a more conventional linear structure, as shown by ,2
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An improved gradient-based algorithm is presented for the determination of the minimum energy point on the crossing seam hypersurface between two arbitrary potential energy hypersurfaces. The Hessian matrix is updated employing the gradient information. The method is demonstrated in a study of some