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CONTENTS<br />

xxvii<br />

44 MAGNETIC PROPERTIES OF MOLECULES 339<br />

45 MINIMIZATION OF FUNCTIONS 340<br />

45.1 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 341<br />

45.1.1 Geometry optimization . . . . . . . . . . . . . . . . . . . . . . . . . . 341<br />

45.1.2 Basis function optimizations . . . . . . . . . . . . . . . . . . . . . . . 341<br />

46 BASIS SET EXTRAPOLATION 343<br />

46.1 Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 344<br />

46.2 Extrapolation functionals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 345<br />

46.3 Geometry optimization using extrapolated energies . . . . . . . . . . . . . . . 348<br />

46.4 Harmonic vibrational frequencies using extrapolated energies . . . . . . . . . . 349<br />

47 POTENTIAL ENERGY SURFACES (SURF) 351<br />

47.1 Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 352<br />

47.2 Multi-level calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 354<br />

47.3 Restart capabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 357<br />

47.4 Linear combinations of normal coordinates . . . . . . . . . . . . . . . . . . . 358<br />

47.5 Scaling of individual coordinates . . . . . . . . . . . . . . . . . . . . . . . . . 358<br />

47.6 Modeling of high-order n-body terms . . . . . . . . . . . . . . . . . . . . . . 359<br />

47.7 Quality Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 360<br />

47.8 Recommendations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 360<br />

47.9 Standard Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 360<br />

48 POLYNOMIAL REPRESENTATIONS (POLY) 362<br />

48.1 Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 362<br />

49 THE VSCF PROGRAM (VSCF) 363<br />

49.1 Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 363<br />

50 THE VCI PROGRAM (VCI) 365<br />

50.1 Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 365<br />

50.2 Recommendations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 367<br />

50.3 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 367<br />

51 VIBRATIONAL MP2 (VMP2) 369<br />

52 THE COSMO MODEL 370<br />

52.1 BASIC THEORY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 371

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