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Helgaker T., Jorgensen P., Olsen J. — Molecular Electronic-Structure Theory. Part 2
Helgaker T., Jorgensen P., Olsen J. — Molecular Electronic-Structure Theory. Part 2



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Название: Molecular Electronic-Structure Theory. Part 2

Авторы: Helgaker T., Jorgensen P., Olsen J.

Аннотация:

Ab initio quantum chemistry has emerged as an important tool in chemical research and is appliced to a wide variety of problems in chemistry and molecular physics. Recent developments of computational methods have enabled previously intractable chemical problems to be solved using rigorous quantum-mechanical methods.
This is the first comprehensive, up-to-date and technical work to cover all the important aspects of modern molecular electronic-structure theory. Topics covered in the book include:
* Second quantization with spin adaptation
* Gaussian basis sets and molecular-integral evaluation
* Hartree-Fock theory
* Configuration-interaction and multi-configurational self-consistent theory
* Coupled-cluster theory for ground and excited states
* Perturbation theory for single- and multi-configurational states
* Linear-scaling techniques and the fast multipole method
* Explicity correlated wave functions
* Basis-set convergence and extrapolation
* Calibration and benchmarking of computational methods, with applications to moelcular equilibrium structure, atomization energies and reaction enthalpies.
Molecular Electronic-Structure Theory makes extensive use of numerical examples, designed to illustrate the strengths and weaknesses of each method treated. In addition, statements about the usefulness and deficiencies of the various methods are supported by actual examples, not just model calculations. Problems and exercises are provided at the end of each chapter, complete with hints and solutions.
This book is a must for researchers in the field of quantum chemistry as well as for nonspecialists who wish to acquire a thorough understanding of ab initio molecular electronic-structure theory and its applications to problems in chemistry and physics. It is also highly recommended for the teaching of graduates and advanced undergraduates.


Язык: en

Рубрика: Химия/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 386

Добавлена в каталог: 21.02.2007

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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 $\mathrm{H_2}$ (table)      149
STO basis sets, minimal basis for $\mathrm{H_2}$      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 $\mathrm{H_2O}$      175 500
Triplet instabilities, Hartree — Fock dissociation of $\mathrm{H_2}$      172 173 500 512
Triplet instabilities, removal of $\mathrm{H_2O}$ 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, $\mathrm{H_2O}$ 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
1 2 3 4 5 6 7
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