The nature of the estrema reached in orbit31 Iocvlization procedures based on a maximum self-repulsion energy criterion is discussed, .4 method for proceding from saddle-point convergence towards a true m:wimcm is described, and the technique is applied to convergence prabiems encountered in orbit&
Improved convergence in orbital localization methods
β Scribed by Ronnie Barr; Harold Basch
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 534 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
β¦ Synopsis
A new method for choosing the rotation angle in the usual indirect localization promdure consisting of the itemtie use of 2 X 2 rotation matices is suggested. Cakulation~ reported here obtaining the localized orbit& of the water mole-cuIe show this new method to converge much more ,quickly and to a significantly better numerical value of the LouItiatio,criterion than previous methods.
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π SIMILAR VOLUMES
Newton's method is based on a linear approximation of the function in a neighborhood of a solution point. It can be demonstrated that the error in the current iteration depends on the norm of second derivative. Instead using a higher-order approximation, the second derivative is used here to transfo
## Abstract Using the criterion for maximizing the projection of localized bond orbitals onto the space spanned by the occupied MO's, a method for constructing hybrid orbitals of a molecule is described. For illustration purposes the method is applied to singleβdeterminant closed shell wave functio