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                    | Helgaker T., Jorgensen P., Olsen J. — Molecular Electronic-Structure Theory. Part 2 |  
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                    | Предметный указатель |  
                    | | Statistical analysis, reaction enthalpies SI      867 Statistical measures of errors      821
 Statistical measures of errors, maximum absolute error      821
 Statistical measures of errors, mean absolute error      821
 Statistical measures of errors, mean error      821
 Statistical measures of errors, normal distribution      539 821
 Statistical measures of errors, standard deviation      539 821
 Step-up and step-down operators      38
 Stirling approximation for factorials      245 525
 STO basis sets      227
 STO basis sets, basis-set for carbon atom      229
 STO basis sets, double-zeta (DZ) basis sets      228
 STO basis sets, extended basis sets      228
 STO basis sets, helium atom      262
 STO basis sets, integrals for
  (table)      149 STO basis sets, minimal basis for
  146 STO basis sets, minimal basis sets      228
 STO basis sets, relation to nuclear cusp condition      261
 STO basis sets, single-zeta basis sets      228
 STO basis sets, Slater’s rules for exponents      228
 STO, Slater-type orbital      226
 STO-kG basis sets      288
 STO-kG basis sets, scaling of exponents      289
 STO-kG basis sets, STO-3G exponents      290
 Symmetry constraints, linear variation method      135
 Symmetry constraints, nonlinear variation method      136
 Symmetry constraints, orbital rotations      89
 Symmetry constraints, relation to instabilities in Hartree — Fock theory      497
 Symmetry dilemma in Hartree — Fock theory      137 504
 Time reversal      97 567
 Total-spin operator      39 50 172 174 704 707
 Translation matrix, complex translation matrix      411
 Translation matrix, real translation matrix      413
 Triplet instabilities      see also “Singlet instabilities”
 Triplet instabilities, general discussion      498
 Triplet instabilities, Hartree — Fock dissociation of
  175 500 Triplet instabilities, Hartree — Fock dissociation of
  172 173 500 512 Triplet instabilities, removal of
  instability by MCSCF theory      640 Triplet operators      42 (see also “Spin tensor operators”)
 Trust-region method      479 610
 Trust-region method, level-shift parameter      479 612
 Trust-region method, level-shifted Newton step      479 612
 Trust-region method, Levenberg — Marquardt trajectories      612
 Trust-region method, step control      614
 Trust-region method, trust radius      479 611
 Trust-region method, trust region      479 611
 Trust-region method, update of trust radius      615
 Two-electron integrals      see also “Molecular integrals”
 Two-electron integrals in orbital basis      37 38
 Two-electron integrals in spin-orbital basis      13 14
 Two-electron integrals, Coulomb integrals      361
 Two-electron integrals, molecular integral evaluation      336
 Two-electron integrals, permutational symmetry in orbital basis      37
 Two-electron integrals, permutational symmetry in spin-orbital basis      13
 Two-electron integrals, separation in classical and nonclassical contributions      401
 Two-electron integrals, upper bounds      404
 Two-electron operators (in second quantization)      11
 Two-electron operators (in second quantization) for nonorthogonal spin orbitals      29
 Two-electron operators (in second quantization) for orthonormal orbitals      37
 
 | Two-electron operators (in second quantization) for orthonormal spin orbitals      11 Two-level multipole method      420
 Two-point extrapolation      322 842
 Two-state model of perturbation theory      770 772
 TZ basis sets      300
 TZ, triple-zeta [basis set]      300
 UHF, unrestricted Hartree — Fock [model]      170 435
 Unitary matrix      see also “Exponential matrix function”
 Unitary matrix, definition      80
 Unitary matrix, exponential form      81
 Unitary transformation      see also “Exponential unitary operator”
 Unitary transformation of configuration states      630
 Unitary transformation of creation and annihilation operators      86 88
 Unitary transformation of spin orbitals      86
 Unitary transformation of states in Fock space      89
 Unlinked coupled-cluster equations      658
 Unrestricted Hartree — Fock (UHF) theory      170 435 497
 Up rank      660 663
 Vacuum state      2 8
 Vacuum state, annihilation operator applied to      5 28
 Vacuum state, vacuum expectation values      19
 Valence orbitals      301
 van der Waals systems,
  dimer      331 van der Waals systems, neon dimer      328
 Variation method      112
 Variation method for linear expansions      113
 Variation method for nonlinear expansions      117
 Variation method, Hylleraas variation method      734
 Variation principle for exact states      108 11
 Variation principle, upper bounds      115
 Variational Lagrangian, CCPT Lagrangian      755 761
 Variational Lagrangian, CI Lagrangian      616
 Variational Lagrangian, coupled-cluster Lagrangian      674
 Variational Lagrangian, general formulation      125
 Variational Lagrangian, Hartree — Fock Lagrangian      458
 Variational Lagrangian, MCSCF second-order Lagrangian      617
 Variational Lagrangian, OCC Lagrangian      700
 Variational Lagrangian, reduction to Hylleraas functional      734
 Variational Lagrangian, RSPT Lagrangian      730
 Variational Lagrangian, spin-restricted coupled-cluster Lagrangian      708
 Vector-coupling coefficients      56
 Vibrational energies      847
 Vibrational energies, anharmonic constants      849
 Vibrational energies, anharmonic contribution      849
 Vibrational energies, force constants      11
 Vibrational energies, harmonic approximation      847
 Vibrational energies, harmonic contribution      849
 Vibrational energies, harmonic frequencies      847
 Vibrational energies, vibrational reference data (table)      850
 Vibrational energies, zero-point vibrational energy (ZPVE)      847
 Vibrational energies, ZPVE corrections to atomization energies (table)      855
 Vibrational energies, ZPVE corrections to reaction enthalpies (table)      866
 Virial theorem      121 428
 Virtual orbitals      178 301 304 434 451 455 629 818
 Wave operators      127
 Weight function      358 359
 Wigner’s 2n+1 rule      728 733 734
 Wigner’s 2n+1 rule, 2n+2 rule      733 734
 ZPVE, zero-point vibrational energy      847
 
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