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39 THE VB PROGRAM CASVB 288<br />

This keyword is short-hand for strong orthogonality. The only allowed non-zero overlaps are<br />

between pairs of orbitals (2n−1, 2n).<br />

FULL;<br />

This keyword is short-hand for full orthogonality. This is mainly likely to be useful for testing<br />

purposes.<br />

39.11 Wavefunction analysis<br />

39.11.1 Spin correlation analysis<br />

(NO)SCORR;<br />

With this option, expectation values of the spin operators (ŝ µ +ŝ ν ) 2 are evaluated for all pairs of<br />

µ and ν. Default is NOSCORR. The procedure is described by: G. Raos, J. Gerratt, D. L. Cooper<br />

and M. Raimondi, Chem. Phys. 186, 233–250 (1994); ibid, 251–273 (1994); D. L. Cooper,<br />

R. Ponec, T. Thorsteinsson and G. Raos, Int. J. Quant. Chem. 57, 501–518 (1996).<br />

At present this analysis is only implemented for spin-coupled wavefunctions.<br />

39.11.2 Printing weights of the valence bond structures<br />

For further details regarding the calculation of weights in CASVB, see T. Thorsteinsson and<br />

D. L. Cooper, J. Math. Chem. 23, 105-26 (1998).<br />

VBWEIGHTS,key1,key2,. . .<br />

Calculates and outputs weights of the structures in the valence bond wavefunction Ψ V B . key<br />

specifies the definition of nonorthogonal weights to be used, and can be one of:<br />

CHIRGWIN<br />

LOWDIN<br />

INVERSE<br />

ALL<br />

NONE<br />

Evaluates Chirgwin-Coulson weights (see: B. H. Chirgwin and C. A. Coulson,<br />

Proc. Roy. Soc. Lond. A201, 196 (1950)).<br />

Performs a symmetric orthogonalization of the structures and outputs<br />

the corresponding weights.<br />

Outputs “inverse overlap populations” as in G. A. Gallup and J. M. Norbeck,<br />

Chem. Phys. Lett. 21, 495–500 (1973).<br />

All of the above.<br />

Suspends calculation of structure weights.<br />

The commands LOWDIN and INVERSE require the overlap matrix between valence bond structures,<br />

and some computational overhead is thus involved.<br />

39.11.3 Printing weights of the CASSCF wavefunction in the VB basis<br />

For further details regarding the calculation of weights in CASVB, see T. Thorsteinsson and<br />

D. L. Cooper, J. Math. Chem. 23, 105-26 (1998).<br />

CIWEIGHTS,key1,key2,. . . [,N conf ];<br />

Prints weights of the CASSCF wavefunction transformed to the basis of nonorthogonal VB<br />

structures. For the key options see VBWEIGHTS above. Note that the evaluation of inverse overlap<br />

weights involves an extensive computational overhead for large active spaces. Weights are

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