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CONTENTS<br />

xxiv<br />

39.10Point group symmetry and constraints . . . . . . . . . . . . . . . . . . . . . . 285<br />

39.10.1 Symmetry operations . . . . . . . . . . . . . . . . . . . . . . . . . . . 285<br />

39.10.2 The IRREPS keyword . . . . . . . . . . . . . . . . . . . . . . . . . . 285<br />

39.10.3 The COEFFS keyword . . . . . . . . . . . . . . . . . . . . . . . . . . 286<br />

39.10.4 The TRANS keyword . . . . . . . . . . . . . . . . . . . . . . . . . . 286<br />

39.10.5 Symmetry relations between orbitals . . . . . . . . . . . . . . . . . . . 286<br />

39.10.6 The SYMPROJ keyword . . . . . . . . . . . . . . . . . . . . . . . . . 286<br />

39.10.7 Freezing orbitals in the optimization . . . . . . . . . . . . . . . . . . . 287<br />

39.10.8 Freezing structure coefficients in the optimization . . . . . . . . . . . . 287<br />

39.10.9 Deleting structures from the optimization . . . . . . . . . . . . . . . . 287<br />

39.10.10Orthogonality constraints . . . . . . . . . . . . . . . . . . . . . . . . . 287<br />

39.11Wavefunction analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 288<br />

39.11.1 Spin correlation analysis . . . . . . . . . . . . . . . . . . . . . . . . . 288<br />

39.11.2 Printing weights of the valence bond structures . . . . . . . . . . . . . 288<br />

39.11.3 Printing weights of the CASSCF wavefunction in the VB basis . . . . . 288<br />

39.12Controlling the amount of output . . . . . . . . . . . . . . . . . . . . . . . . . 289<br />

39.13Further facilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 289<br />

39.14Service mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 289<br />

39.15Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 290<br />

40 SPIN-ORBIT-COUPLING 291<br />

40.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 291<br />

40.2 Calculation of SO integrals . . . . . . . . . . . . . . . . . . . . . . . . . . . . 291<br />

40.3 Calculation of individual SO matrix elements . . . . . . . . . . . . . . . . . . 292<br />

40.4 Approximations used in calculating spin-orbit integrals and matrix elements . . 292<br />

40.5 Calculation and diagonalization of the entire SO-matrix . . . . . . . . . . . . . 293<br />

40.6 Modifying the unperturbed energies . . . . . . . . . . . . . . . . . . . . . . . 293<br />

40.6.1 Print Options for spin-orbit calculations . . . . . . . . . . . . . . . . . 294<br />

40.6.2 Options for spin-orbit calculations . . . . . . . . . . . . . . . . . . . . 294<br />

40.7 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 295<br />

40.7.1 SO calculation for the S-atom using the BP operator . . . . . . . . . . 295<br />

40.7.2 SO calculation for the I-atom using ECPs . . . . . . . . . . . . . . . . 297

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