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42 GEOMETRY OPTIMIZATION (OPTG) 304<br />

ACTIVE,variables<br />

If this card is present, all variables which are not specified are inactive. Alternatively,<br />

INACTIVE,variables<br />

In this case all variables that are not given are active.<br />

41.3 Saving the gradient in a variables<br />

If the directive<br />

VARSAV<br />

is given, the gradient is saved in variables GRADX, GRADY, GRADZ. GRADX(n) is the derivative<br />

with respect to x for the n-th atom. The atoms are in the order as printed. This order can be<br />

different from the order in the input z-matrix, since the centres are reordered so that all atoms<br />

of the same type follow each other.<br />

42 GEOMETRY OPTIMIZATION (OPTG)<br />

Automatic geometry optimization is invoked using the OPTG command. The OPT command<br />

available in previous <strong>MOLPRO</strong> versions is no longer needed and not available any more.<br />

OPTG[, key1=value, key2=value,. . . ...]<br />

The OPTG command can be used to perform automatic geometry optimizations for all kinds of<br />

wavefunctions. For minimum searches, it is usually sufficient to give just the OPTG command<br />

without further options or directives, but many options are available which are described in the<br />

following sections.<br />

Various optimization methods can be selected as described in section 42.2.1. <strong>MOLPRO</strong> allows<br />

minimization (i.e. search for equilibrium geometries), transition state optimization (i.e. search<br />

for saddle points on energy surfaces), and reaction path following. The standard algorithms are<br />

based on the rational function approach and the geometry DIIS approach. Also available is the<br />

quadratic steepest descent following method of Sun and Ruedenberg (see J. Sun and K. Ruedenberg,<br />

J. Chem. Phys. 99, 5257 (1993)). This method is often advantageous in Transition State<br />

searches. For a detailed discussion of the various minimization algorithms see F. Eckert, P. Pulay<br />

and H.-J. Werner, J. Comp. Chem 18, 1473 (1997). Reaction path following is described in<br />

F. Eckert and H.-J. Werner, Theor. Chem. Acc. 100, 21, (1998). Please refer to the references<br />

section for citations of the analytic gradient methods.<br />

When analytical gradients are available for the optimized energy these will be used. Otherwise<br />

the gradient will be computed numerically from finite energy differences. Normally, the last<br />

computed ground-state energy is used. But the VARIABLE directive or option can be used to<br />

optimize, e.g., Davidson corrected energies, excited states, or counterpoise corrected energies.<br />

By default the program repeats in each geometry optimization step those commands in the input<br />

that are needed to compute the last energy. For example, for MP2 gradients the commands HF<br />

and MP2 are needed. The MP2 gradients will then be computed automatically. It is also possible<br />

to define procedures for the energy calculation, or to specify the first command from which the<br />

input should be repeated in each step (see section 42.1.1). The section of the input which is<br />

needed for the geometry optimization must not modify variables that are used in the geometry<br />

definition (changes of such variables are ignored, and a warning message is printed).

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