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11 BASIS INPUT 75<br />

If an individual basis function type (s, p, d, etc.) is specified for an atom, it is required that all<br />

other types are also defined, i.e., as soon as an explicit definition of a basis function for an atom<br />

is given, all defaults are erased for this atom.<br />

There are four different input forms for basis functions, as explained below under a) to d). In<br />

case that options (e.g. SCALE, NPRIM) are specified, they can be given in any order, but no<br />

value without option key must be given after an option.<br />

In all four cases type defines the angular symmetry (S, P, D, F, G, H, or I). type can<br />

include several types, e.g., SPD or DF (this usually makes sense only with or default library<br />

contractions or no contractions). The basis is loaded for all atoms with tag name atom in the<br />

geometry input. If atom is an integer, it refers to a z-matrix row.<br />

a) Library basis sets:<br />

type,atom,name,scale2,nprim;<br />

or<br />

type,atom,name,[SCALE=scale|SCALE2=scale2],[NPRIM=nprim|DELETE=ndel];<br />

Load basis named name from the library<br />

If scale or scale2 is present, all exponents are scaled by scale or scale**2, respectively. If nprim<br />

is specified, the first nprim exponents only are taken from the library. If nprim is negative or<br />

ndel is given, the last |nprim| (ndel) basis functions from the library set are deleted. Associated<br />

with the library basis may be a set of default contraction coefficients which may be accessed<br />

in subsequent contraction cards. type can include several types, e.g., SPD or DF. This usually<br />

makes sense only with default contractions, i.e., such cards should be followed only by “C”<br />

without any other specifications for contractions.<br />

b) Explicit basis input:<br />

type,atom,exp1,exp2,...expn;expn+1,...;<br />

General specification of exponents; continuation onto subsequent cards (separated by semicolon)<br />

is permitted as shown (the first card can hold up to 19 exponents, each following card 20<br />

exponents.<br />

The exponents (and other numerical parameters described below such as numbers of functions,<br />

and contraction coefficients) can be given as general input expressions, possibly involving variables.<br />

It is important to note, however, that these expressions are evaluated typically just once,<br />

at the same time as the complete basis set is parsed. This generally happens the first time that<br />

the basis set is required, perhaps before the first SCF calculation can be done. If the variables on<br />

which the basis depends are altered, this will not be noticed by the program, and the new basis<br />

set will not be used for subsequent stages of the computation. If, however, a new basis block is<br />

presented in the input, then the program marks as outdated any quantities such as integrals that<br />

have been calculated with the old basis set; subsequent job steps will then use the new basis.<br />

c) Even tempered basis sets:<br />

type,atom,EVEN,nprim,ratio,centre,dratio<br />

or<br />

type,atom,EVEN,NPRIM=nprim,[RATIO=ratio],[CENTRE=centre],[DRATIO=dratio]<br />

Generates a generalized even tempered set of functions. The number of functions n is specified<br />

by nprim, their geometric mean c by centre, the mean ratio of successive exponents r by ratio,<br />

and the variation of this ratio, d, by dratio. If centre is not given, the previous basis of the same<br />

type is extended by diffuse functions. If in this case ratio is not given, r is determined from

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