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42 GEOMETRY OPTIMIZATION (OPTG) 316<br />

In the present implementation a saddle point search is possible with the rational function method<br />

(METHOD,RF), the geometry DIIS method (METHOD,DIIS) and the quadratic steepest descent<br />

method of Sun and Ruedenberg (METHOD,SRTRANS).<br />

Note that convergence is usually much more difficult to achieve than for minimizations. In particular,<br />

a good starting geometry and a good approximation to the hessian is needed. The latter<br />

is achieved by evaluating the hessian numerically (see section 42.2.7) or using a precomputed<br />

hessian (see section 42.2.6).<br />

42.2.12 Setting a maximum step size (STEP)<br />

STEP,steplength,drmax,damax,drmax1,damax1<br />

steplength is the initial step length in the scaled parameter space (default 0.3). In the AH-method<br />

this is dynamically adjusted, and can have a maximum value ahmax (see TRUST).<br />

drmax is the initial max change of distances (in bohr, default 0.3). In the AH-method this is<br />

dynamically adjusted up to a maximum value of drmax1 (default 0.5 bohr).<br />

damax is the initial max change of angles (in degree, default 2). In the AH-method this is<br />

dynamically adjusted up to a maximum value of damax1 (default 10 degrees).<br />

42.2.13 Redefining the trust ratio (TRUST)<br />

TRUST,ratio,ahmax<br />

ratio determines the radius around the current minimum in which points are used to update the<br />

Hessian with the conjugate gradient method (default 0.5; see also UPDATE).<br />

ahmax is the maximum step size allowed in the Augmented Hessian procedure. This refers to<br />

the scaled parameter space (default 0.5). The initial step size is stepmx (see STEP card).<br />

42.2.14 Setting a cut parameter (CUT)<br />

CUT,threshold<br />

Specifies a threshold for ortho-normalization used in conjugate gradient update of hessian (default<br />

1.d-3; see also UPDATE).<br />

42.2.15 Line searching (LINESEARCH)<br />

LINESEARCH,iflag,thrlmin,thrlmax<br />

Interpolate the geometry of the stationary point (minimum or saddle point) by a quartic polynomial<br />

between the current and the previous geometry. If iflag=0 or no iflag is set, the next<br />

optimization step will be taken from the interpolated geometry using the interpolated energy<br />

and gradient. If iflag=1 the energy and gradient will be recalculated at the interpolated geometry<br />

before taking the new optimization step. Note though, that the additional effort of recalculating<br />

the energy and gradient is usually not met by the increase of the convergence rate of the optimization.<br />

thrlmin and thrlmax are min and max thresholds for the recalculation of the energy and<br />

the gradient in case iflag=1. I.e. the recalculation just takes place if the interpolated geometry<br />

isn’t too close to the actual geometry thrlmin and isn’t too remote from the actual geometry<br />

thrlmax. Default values are thrlmin=0.001 and thrlmax=0.05 in the scaled parameter space of<br />

the optimization.

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