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Jensen F. — Introduction to Computational Chemistry
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Название: Introduction to Computational Chemistry
Автор: Jensen F.
Аннотация: Introduction to Computational Chemistry Frank Jensen Odense University, Denmark Computational chemistry is a rapidly emerging and developing area, combining theoretical models with computers to investigate a variety of chemical phenomena. Increasingly applied throughout chemistry, computational methods are becoming an integral part of modern chemical research. Introduction to Computational Chemistry provides a comprehensive account of the fundamental principles underlying different methods, ranging from classical to sophisticated quantum models. Although the main focus is on molecular structures and energetics, subjects such as molecular properties, dynamical aspects, relativistic methods and qualitative models are also covered. Introduction to Computational Chemistry features:
* Coverage from first principles through to the latest advances.
* Relatively self-contained chapters, allowing for flexibility in the order in which they can be read.
* A web site containing additional information.
Suitable for students and researchers entering the field of computational chemistry, it is also an essential reference for procedures commonly cited in computational chemistry literature. No prior knowledge of concepts specific to computational chemistry is necessary, although some understanding of introductory quantum mechanics and elementary mathematics is assumed.
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Рубрика: Химия /
Статус предметного указателя: Готов указатель с номерами страниц
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Издание: 1-st
Год издания: 1998
Количество страниц: 429
Добавлена в каталог: 19.02.2007
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Предметный указатель
in force field energies 11
in force field energies 25
in force field energies 23
, the force field energy 8
in force field energies 23
in force field energies 14
in force field energies 8
in force field energies 15
in force field energies 18
, partition function 302
, partition function 300
, partition function 299
, partition function 301
reaction 305 367
-diagnostic, in coupled cluster methods 139
method 183
1,3-Butadiene 27 89
3-21G, 6-31G, 6-311G basis sets 159
Activation energy 307
Active molecular orbitals, MCSCF methods 119
Adiabatic approximation 53 56
Adiabatic connection formula 409
Adiabatic Connection Model (ACM) 187
Aliasing, in pseudospectral methods 174
Allowed reaction, Woodward — Hoffmann rules 356
AMBER force field 40
Amplitudes, in coupled cluster theory 133
Angular correlation, in electron correlation 153
Annihilation operator, second quantization 411
Antarafacial, Woodward — Hoffmann rules 357
Antisymmetrizing operator 59
Atom types, in force field 7 8
Atomic basin 223
Atomic Natural Orbitals (ANO) 161
Atomic orbital (AO) 65 150
Atomic Polar Tensor (APT), use for atomic charges 226
Atomic units 54 415
Atoms In Molecules (AIM) 223
Attractors, electron density analysis 223
Augmented Hessian, function optimization 320
Austin Model 1 (AMI) 87
Autocorrelation function, in simulations 380
Averaged Coupled-Pair Functional (ACPF) 139
Avoided crossing 56 356
Axis of inertia 300
B3LYP functional 188
B3P86 functional 188
B3PW91 functional 188
B88 exchange functional 185
B95 functional 187
Basis set convergence 153 163 165
Basis Set Superposition Error (BSSE) 172
Becke 3 parameter functional (B3) functional 88
Becke and Roussel (BR) functional 185
Bell correction, tunnelling 391
Bell, Evans, Polanyi (BEP) principle 364
Bending energy, in force fields 11
BLYP functional 188
Boltzman probability function 374
Bond critical points, electron density analysis 225
Bond dipole 24
Bond dissociation 111
Bond Order (BO) 219
Born model, solvation model 395
Born-Oppenheimer approximation (BO) 3 53 56
Boys localization of molecular orbitals 228
BP86 functional 188
BPW91 functional 188
Bra 55
Bracket 55
Breit interaction, relativistic effects 210
Brillouins theorem 104
Brownian dynamics 389
Broyden — Fletcher — Goldfarb — Shanno (BFGS) update in optimizations 321
Brueckner theory 138
Buckingham potential 19
Cage critical point, electron density analysis 226
Canonical molecular orbitals 63
Canonical momentum operator 248
Car and Parrinello (CP) method 388
CASMP2, CASPT2 methods 132
CASVB method 202
Cavity, in reaction field models 393
CBS-4, CBS-q, CBS-Q and CBS-APNO methods 167
cc-pCVDZ, cc-pCVTZ, cc-pCVQZ, cc-pCV5Z basis sets 162
cc-pVDZ, cc-pVTZ, cc-pVQZ, cc-pV5Z, cc-pV6Z basis sets 162
CC2, CC3 methods 139
CCD, CCSD, CCSDT methods 134
CCDPPA, CCSDPPA methods 261
CCSD + T(CCSD), CCSD(T), CCSD(TQ) methods 138
CFF91/93/95 force field 40
Chain optimization 329
Charge controlled reactions 348
Charge iteration, in Huckel theory 93
CHARMM force field 40
Chemical Hamiltonian Approach (CHA) 173
Chemist’s notation, for two-electron integrals 67
CID, CISD, CISDT, CISDTQ methods 107
CIS method 147
Claisen reaction 304
Class I force fields 41
Class II force fields 30 41
Closed-shell wave function 70
Coarse-grained sampling, in simulations 377
Combination rules for van der Waals parameters 22
Combinatorial explosion 339
Commutator 258
Complete Active Space Self-Consistent Field (CASSCF) method 119
Complete Neglect of Differential Overlap (CNDO) model 83
Conceited reaction 356
Conductor-like Screening Model (COSMO) for solvation 396
Configuration Interaction (CI) 101
Configurational State Functions (CSF) 103
Conical intersection 364
Conjugate Gradient (CG) optimization 318
Conjugate Peak Refinement (CPR) optimization 330
Conjugated systems 27
Connected, in coupled cluster theory 133
Conrotatory, Woodward — Hoffmann rules 360
Contracted basis set 156
Contracted Gaussian Type Orbitals (CGTOs) 157
Coordinate driving 336
Cope rearrangement 367 369
Core integrals 67
Correlation consistent basis sets 162
Correlation functions, in simulations 380
COSMIC force field 40
Coulomb correlation 99
Coulomb gauge 249
Coulomb hole 99
Coulomb integral 61 67
Coulomb operator 61
Coulson — Fischer (CF) function, in valence bond methods 197
Counterpoise (CP) correction 172
Coupled Cluster (CC) methods 132
Coupled Electron Pair Approximation (CEPA) method 139
Coupled Hartree — Fock (CHF) 248
Coupled Perturbed Hartree — Fock (CPHF) 244
Covalent contribution to the wave function 111 196
Creation operators, in second quantization 411
Cross terms in force field energies 25
Cross-correlation function in simulations 380
Cubic response function 261
Cusp, of a wave function 140 214
Cut-off distance, in force field methods 42
CVFF force field 40
Cyclododecane 45
Cycloheptadecane 340
Damping, for achieving SCF convergence 72
Darwin correction, in relativistic methods 209
Davidon — Fletcher — Powell (DFP) update for optimization 321
Davidson algorithm for diagonalizing large matrices 109
Davidson correction, for higher-order excitations 137
Dealiasing, in connection with pseudospectral methods 174
Degree of contraction of basis sets 157
Delocalized internal coordinates 327
Density fitting 191
Density Functional Theory (DFT) 177
Density matrix 66 229
Dewar benzene 367
Diagonal correction, for non-Born-Oppenheimer effects 56
Diagonal term in force field energy functions 25
Diamagnetic Spin-Orbit (DSO) 250
Diamagnetic term 250
dielectric constant 24
Diels — Alder reaction 304 350 358
Different Orbitals for Different Spins (DODS) 70
Diffuse basis function 156
Diffusion methods, for global optimization 343
Dipole moment 236 270 286
Dirac equation 205 207
Dirac — Fock 213
Direct CI methods 109
Direct Inversion in the Iterative Subspace (DIIS) 73
Direct MP2, CCSD methods 142
Direct SCF methods 77
Disconnected, in coupled cluster theory 133
Dispersion force 19
Disrotatory, Woodward — Hoffmann rules 360
Distance geometry methods 343
Distributed Multipole Analysis (DMA) 222
Distribution functions in simulations 378
Double Zeta plus Polarization (DZP) basis set 153
Double, Triple, Quadruple Zeta (DZ, TZ, QZ), basis set 152
Doubles, doubly excited configurations 100
Douglas — Kroll transformation 215
DREIDING force field 40
Dummy atom 37 417
Dunning — Huzinaga basis sets 160
Dynamic properties 235
Dynamical electron correlation 118
EAS force field 40
ECEPP force field 40
Edmiston — Ruedenberg localization of molecular orbitals 228
EFF force field 40
Effective Core Potential (ECP) 171
Eigenvector Following (EF) optimization method 320
electric field 247
Electron Correlation (EC) 98
Electron propagator 258
Electronegativity 353
Electronic chemical potential 353
Electronic Hamilton operator 54
Electrostatic energy 23
Electrostatic Potential (ESP) 220
Elimination reactions 370
Embedding 344
Energy representation, of propagators 257
Ensemble 375 377
Enthalpy 299 303 373
entropy 299 303 373
Equation Of Motion (EOM) methods 261
Ergodic hypothesis 375
Error function 33 73 316 335
ESFF force field 40
Euler integration 344
Even-tempered basis set 155
Ewald sum methods 387
Exchange integral 61 67
Exchange operator 61
Excited Slater determinant 99
Excited states 147
Extended Huckel Method (EHM) 92
Extended Huckel Theory (EHT) 92
Extrapolation, for achieving SCF convergence 72
Fast Multipole Moment (FMM) method 80 387
Fermi Contact (FC) operator 212 251
Fermi correlation 99
Fermi hole 99
Field gradient 213 236
First quantization 411
First-order corrections, in perturbation methods 124 125
First-Order Regular Approximation (FORA) method 209
Fletcher — Reeves conjugate gradient optimization 318
Fluctuation potential, in electron correlation methods 127
Fluctuation, in simulation methods 378
Fock operator 62
Foldy — Wouthuysen transformation 215
Forbidden reaction, Woodward — Hoffmann rules 356
Force Field (FF) 6
Force field energy 8
Force field parameters 30
Four component wave function, in relativistic methods 206 213
Four index transformation of two-electron integrals 105
Fourier series 15
Free Energy Perturbation (FEP) methods 381
Frequency representation, of propagators 257
Frontier Molecular Orbital (FMO) theory 347
Frozen core, frozen virtual orbitals 101
Fukui function 352
Full CI 106 268
Full Optimized Reaction Space (FORS) 119
Functional, definition 177
Gauge Including/Invariant Atomic Orbitals (GIAO), for calculating magnetic properties 252
Gauge origin, in magnetic interactions 248
Gaunt interaction, in relativisitic methods 210
Gaussian product rule 68 222
Gaussian Type Orbitals (GTO) 151
Gaussian-1, Gaussian-2 models, Gl, G2, G2(MP2), G2(MP2, SVP), G2Q 165
General contraction of basis sets 157
General Hartree — Fock method 76
Generalized Atomic Polar Tensor (GAPT), for atomic charges 226
Generalized Born model, solvation 395
Generalized Born/Surface Area (GB/SA), solvation model 397
Generalized frequencies 314
Generalized Gradient Approximation (GGA), in density functional theory 184
Generalized momentum operator 248
Generalized Valence Bond (GVB) method 202
Genetic Algorithms (GA) for global optimization 342
Geometry Direct Inversion in the Iterative Subspace (GDIIS) for optimizations 335
Ghost orbitals 173
Gibbs free energy 299
Global minimum 339
Gonzales — Schlegel method for following an IRC 345
Gradient Extremal (GE) 338
Gradient norm minimization 333
Gradient of a function 238
Greens function 257
GROMOS force field 40
Gross atomic charge 218
Half-and-Half method in density functional theory 187
Half-Electron method (HE) 71
Hammond postulate 365
Hard and Soft Acid and Base (HSAB) principle 353
Hardness, defined from the electron density 353
Hartree — Fock (HF) 59 63
Hartree — Fock limit 69 268
Heat bath 386
heat capacity 298 378
Heat of formation 29 90
Heitler — London (HL) function, in valence bond methods 196
Hellmann — Feynman force 254
Hellmann — Feynman theorem 241 409
Helmholtz free energy 298 373 374
Hermitic operator 54 123 407
Hessian, in optimization methods 319
Hestenes — Stiefel conjugate gradient optimization 318
Higher RPA (HRPA), in propagator methods 261
Highest Occupied Molecular Orbital (HOMO) 348
Hill potential 19
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