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42 GEOMETRY OPTIMIZATION (OPTG) 310<br />

QSD<br />

SRMIN<br />

type may be GRAD interpolation using the gradients (default), working<br />

good for rigid molecules, STEP interpolation using Quasi-Newton<br />

steps which could be advantageous in dealing with very floppy molecules,<br />

ENER interpolation using energies, which is an intermediate between<br />

the above two.<br />

Quadratic steepest descent method of Sun and Ruedenberg.<br />

Old version of QSD.<br />

For transition state searches (invoked with the ROOT option, see section 42.2.11) key can be<br />

RF<br />

DIIS<br />

QSD<br />

SRTRANS<br />

Rational Function method (default).<br />

Pulay’s Geometry DIIS method (see above).<br />

Quadratic Steepest Descent Transition State search using the image<br />

Hessian method (see J. Sun and K. Ruedenberg, J. Chem. Phys. 101,<br />

2157 (1994)) The use of this option is recommended for transition<br />

state searches – especially in complicated cases. The optimization<br />

step is checked and the Hessian is recalculated when approaching a<br />

troublesome region of the PES. Thus this method is somewhat safer<br />

(and often faster) in reaching convergence than the RF or DIIS<br />

method. The Hessian recalculation safeguard may be turned off using<br />

the METHOD,QSD,NOHESS input card.<br />

Old version of QSD.<br />

For reaction path following the input key is<br />

QSDPATH<br />

SRSTEEP<br />

Quadratic Steepest Descent reaction path following. This methods<br />

determines reaction paths (intrinsic reaction coordinates, IRCs) by<br />

following the exact steepest descent lines of subsequent quadratic approximations<br />

to the potential energy surface. The Hessian matrix is<br />

calculated numerically at the first optimization step and subsequently<br />

updated by Powell or BFGS update. If a given arc length of the steepest<br />

descent lines is exceeded, the Hessian is recalculated numerically<br />

(see OPTION section 42.2.16). For details see J. Sun and K. Ruedenberg,<br />

J. Chem. Phys. 99, 5269 (1993) It is also possible to recalculate<br />

the Hessian after each m steps using the NUMHES,m command (see<br />

section 42.2.7). If the Hessian matrix is recalculated in every optimization<br />

step (NUMHES,1) a algorithm different to the one with updated<br />

Hessians is used, which is very accurate. Using the PRINT,OPT<br />

card, this algorithm prints in every optimization step a reaction path<br />

point r which is different from the point where the energy and the<br />

gradient is calculated but closer to the real reaction path (for further<br />

details of the algorithm see J. Sun and K. Ruedenberg, J. Chem. Phys.<br />

99, 5257 (1993)). For further input options of the QSD reaction path<br />

following see OPTION section 42.2.16.<br />

Old Version of QSDPATH.<br />

42.2.2 Optimization coordinates (COORD)<br />

It is possible to use various coordinate types and algorithms for the optimization. This can be<br />

controlled by additional subcommands as described in this and the following subsections.

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