Index
265
Dish Archimedene, 93
Disrotatory, 137
Dissymmetry, 104
Distortion modes, 130, 133
Dodecahedrane, 38, 49
Dodecahedron, 35, 36, 38, 39, 99, 156, 157,
170
Domcke, 132, 161
Donor–acceptor interactions, 139, 140
Doob, 84
Double group, 176–178, 180, 184, 189, 235,
257, 258
Dual, 7, 10, 35, 39, 153, 154, 156, 157, 170
Dynamic symmetry, 111, 112
E
Edge representation, 151–156
Edmonds, 165, 190
Eigenfunctions, 53–56, 61, 81, 85, 89, 90, 97,
103, 105–107, 124, 132, 161
Eigenvalues, 19, 54, 81, 83, 84, 86, 87, 91, 94,
97, 102, 105, 107, 108, 188, 189
Electric, 7, 21, 43, 46, 47, 69, 104, 113, 127,
146, 148, 153, 205, 206
see Stark effect
crystal field, 69
dipole, 7, 104, 113, 127
field (E), 42, 47, 96, 151–155, 158, 159
symmetry breaking, 69, 205, 206
Electron diffraction, 83
Electron precise, 155
Enantiomers, 160
Equivalent electrons, 124, 125
Euclid, 39
Euler equation, 54, 150, 251
Euler theorem, 113, 152, 161
Excited state, 41, 135, 145, 148
Exciton, 145, 146, 148, 160, 254
F
Face representation, 151
Fagan, 40, 49
Faraday effect, 2, 46
Ferrocene, 40, 41, 112, 252
Fibre bundle, 148, 149, 157, 158
Flint, 134
Fowler, ix, 93, 102, 152, 156, 157, 161, 211,
221, 235, 261
Franck-Condon principle, 144
Fries, 157–159
Frobenius, 56, 72, 76, 93, 148, 249
Frontier orbitals, 138, 156, 157
Fullerenes, 156, 157, 159, 161, 190
Function space, 7, 10, 12–16, 23, 51–53,
55–57, 59–61, 63, 64, 66–68, 71, 78,
82, 93, 97, 106, 113, 114, 134, 149,
163, 165–167, 170, 181, 182, 184, 247
G
Gauge, 51, 88–90
Genealogical tree, 29, 30, 36, 69
GFP protein, 43
Gilmore, 165, 190
Graph, 26, 27, 36, 84, 92, 95–98, 256
automorphism, 26, 27, 92, 95, 98
bipartite, 97, 98, 256
Great Orthogonality Theorem (GOT), 63
Griffith, 106, 112, 117, 160, 175, 184, 185,
190, 215, 218, 221, 235, 261
Group
see Lie groups
see point groups
Abelian, 27
alternating, 28, 36, 40, 152
cyclic, 27, 28, 31, 39, 41, 42, 44, 62, 86,
87, 100, 108, 165, 181, 252
definition, 1, 28, 32, 98, 108, 109, 111,
128, 176
double, 19, 40, 62, 126, 175–180, 184, 189,
190, 235, 257, 258
generator, 27, 30, 39, 41, 45, 63, 107, 123
halving, 45, 48, 164, 252
orthogonal, 35, 63, 163, 164, 172
permutation, 25, 28, 29, 73, 108–112, 123,
126, 148, 165, 252
symmetric, 27, 29, 36, 42, 55, 58, 62, 76,
93, 100, 104, 123, 148, 150–152, 165,
177, 247, 251, 256
unitary, 57, 58, 163, 171
H
Haake, 180, 190
Halevi, 136, 161
Half-integral momentum, 134
Hamiltonian, 8, 17, 18, 53, 84, 85, 89, 92, 103,
105–110, 113, 129, 131, 133–135, 141,
147, 170, 171, 173–175, 181–190, 258,
259
Heath, 38, 49
Helicity, 138, 144
Hemisphere, 176, 179, 257
Hermitian, 19, 170, 183, 247
Hessian, 80, 81, 83, 84
Hexadecapole, ix, 168, 169
Hilbert space, 8, 53
Hilton, 152, 161
Hoffmann, 136, 155
HOMO, 98, 160
265
Dish Archimedene, 93
Disrotatory, 137
Dissymmetry, 104
Distortion modes, 130, 133
Dodecahedrane, 38, 49
Dodecahedron, 35, 36, 38, 39, 99, 156, 157,
170
Domcke, 132, 161
Donor–acceptor interactions, 139, 140
Doob, 84
Double group, 176–178, 180, 184, 189, 235,
257, 258
Dual, 7, 10, 35, 39, 153, 154, 156, 157, 170
Dynamic symmetry, 111, 112
E
Edge representation, 151–156
Edmonds, 165, 190
Eigenfunctions, 53–56, 61, 81, 85, 89, 90, 97,
103, 105–107, 124, 132, 161
Eigenvalues, 19, 54, 81, 83, 84, 86, 87, 91, 94,
97, 102, 105, 107, 108, 188, 189
Electric, 7, 21, 43, 46, 47, 69, 104, 113, 127,
146, 148, 153, 205, 206
see Stark effect
crystal field, 69
dipole, 7, 104, 113, 127
field (E), 42, 47, 96, 151–155, 158, 159
symmetry breaking, 69, 205, 206
Electron diffraction, 83
Electron precise, 155
Enantiomers, 160
Equivalent electrons, 124, 125
Euclid, 39
Euler equation, 54, 150, 251
Euler theorem, 113, 152, 161
Excited state, 41, 135, 145, 148
Exciton, 145, 146, 148, 160, 254
F
Face representation, 151
Fagan, 40, 49
Faraday effect, 2, 46
Ferrocene, 40, 41, 112, 252
Fibre bundle, 148, 149, 157, 158
Flint, 134
Fowler, ix, 93, 102, 152, 156, 157, 161, 211,
221, 235, 261
Franck-Condon principle, 144
Fries, 157–159
Frobenius, 56, 72, 76, 93, 148, 249
Frontier orbitals, 138, 156, 157
Fullerenes, 156, 157, 159, 161, 190
Function space, 7, 10, 12–16, 23, 51–53,
55–57, 59–61, 63, 64, 66–68, 71, 78,
82, 93, 97, 106, 113, 114, 134, 149,
163, 165–167, 170, 181, 182, 184, 247
G
Gauge, 51, 88–90
Genealogical tree, 29, 30, 36, 69
GFP protein, 43
Gilmore, 165, 190
Graph, 26, 27, 36, 84, 92, 95–98, 256
automorphism, 26, 27, 92, 95, 98
bipartite, 97, 98, 256
Great Orthogonality Theorem (GOT), 63
Griffith, 106, 112, 117, 160, 175, 184, 185,
190, 215, 218, 221, 235, 261
Group
see Lie groups
see point groups
Abelian, 27
alternating, 28, 36, 40, 152
cyclic, 27, 28, 31, 39, 41, 42, 44, 62, 86,
87, 100, 108, 165, 181, 252
definition, 1, 28, 32, 98, 108, 109, 111,
128, 176
double, 19, 40, 62, 126, 175–180, 184, 189,
190, 235, 257, 258
generator, 27, 30, 39, 41, 45, 63, 107, 123
halving, 45, 48, 164, 252
orthogonal, 35, 63, 163, 164, 172
permutation, 25, 28, 29, 73, 108–112, 123,
126, 148, 165, 252
symmetric, 27, 29, 36, 42, 55, 58, 62, 76,
93, 100, 104, 123, 148, 150–152, 165,
177, 247, 251, 256
unitary, 57, 58, 163, 171
H
Haake, 180, 190
Halevi, 136, 161
Half-integral momentum, 134
Hamiltonian, 8, 17, 18, 53, 84, 85, 89, 92, 103,
105–110, 113, 129, 131, 133–135, 141,
147, 170, 171, 173–175, 181–190, 258,
259
Heath, 38, 49
Helicity, 138, 144
Hemisphere, 176, 179, 257
Hermitian, 19, 170, 183, 247
Hessian, 80, 81, 83, 84
Hexadecapole, ix, 168, 169
Hilbert space, 8, 53
Hilton, 152, 161
Hoffmann, 136, 155
HOMO, 98, 160