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47 POTENTIAL ENERGY SURFACES (SURF) 353<br />

THRFIT=value<br />

FIT1D=value<br />

MIN1D=value<br />

MAX1D=value<br />

EXT12D=value<br />

SKIP3D=value<br />

MPG=value<br />

surface stretches out to the NGRID/2 th Gauss-Hermite point, i.e. 4.69,<br />

in each direction (see keyword NGRID). As these values are fairly<br />

large within the calculation of fundamental modes, a scaling factor,<br />

SCALE= f , has been introduced. A default scaling of 0.75 is used.<br />

Increasing the size of the surfaces usually requires the calculation of<br />

further ab initio points as the surface interpolation is more stable for<br />

small surfaces.<br />

The iterative algorithm for generating potential energy surfaces is<br />

based on a successive increase of interpolation points. The iterations<br />

are terminated once the interpolation of two subsequent iteration steps<br />

became stable. The convergence threshold can be changed by the keyword<br />

THRFIT= f . There is currently just one control variable for the<br />

different 1D, 2D, 3D, and 4D iterations. The 4 thresholds are different<br />

but depend on each other. Consequently, changing the default value<br />

(THRFIT=4.0d-2) will change all thresholds simultaneously which<br />

keeps the calculation balanced.<br />

The maximum order of the polynomials used for fitting within the iterative<br />

interpolation scheme can be controlled by the keywords FIT1D,<br />

FIT2D, FIT3D, FIT4D. The default is given by 8. However in<br />

certain cases higher values may be necessary, but require an appropriate<br />

number of coarse grid points, which can be controlled by MIN1D<br />

etc.<br />

The minimum number of coarse grid points can be controlled by the<br />

keywords MIN1D, MIN2D, MIN3D, MIN4D. These 4 keywords<br />

determine the minimum number of ab initio calculations in one dimension<br />

for each 1D, 2D, 3D and 4D surface. The defaults are currently<br />

MIN1D=4, MIN2D=4, MIN3D=2, MIN4D=2.<br />

The maximum number of coarse grid points can be controlled by the<br />

keywords MAX1D, MAX2D, MAX3D, MAX4D. These 4 keywords<br />

determine the maximum number of ab initio calculations in one dimension<br />

for each 1D, 2D, 3D and 4D surface. The defaults are currently<br />

MAX1D=NGRID, MAX2D=NGRID, MAX3D=10, MAX4D=4.<br />

Outer regions of the potential energy surfaces are determined by extrapolation<br />

rather than interpolation schemes. An extrapolation of<br />

15% in case of the 1D and 2D contributions to the potential<br />

(Ext12D=0.85) and of 30% in case of the 3D and 4D terms<br />

(Ext34D=0.7) is currently used by default. For accurate calculations<br />

extrapolation can be switched off by setting both keywords to<br />

1.0. Changing these keywords usually increases the number of ab<br />

initio calculations to be performed.<br />

As the number of 3D and 4D surfaces can increase very rapidly, there<br />

exists the possibility to neglect unimportant 3D and 4D surfaces by<br />

the keywords SKIP3D and SKIP4D. The criterion for the prescreening<br />

of the 3D surfaces is based on the 2D terms and likewise for the<br />

4D terms the 3D surfaces are used. The neglect of 3D surfaces automatically<br />

leads to the neglect of 4D surfaces, as the latter depend on<br />

the previous ones. By default prescreening is switched on, but can be<br />

switched off by SKIP3D=1.0 and SKIP4D=1.0.<br />

Symmetry of the normal modes should be recognized by the program<br />

automatically. Only Abelian point groups can be handled at the mo-

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