Allen H.C., Cross P.C. — Molecular Vib-Rotors: the Theory and Interpretation of High Resolution Infrared Spectra :: Электронная библиотека попечительского совета мехмата МГУ

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Allen H.C., Cross P.C. — Molecular Vib-Rotors: the Theory and Interpretation of High Resolution Infrared Spectra

Allen H.C., Cross P.C. — Molecular Vib-Rotors: the Theory and Interpretation of High Resolution Infrared Spectra

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Название: Molecular Vib-Rotors: the Theory and Interpretation of High Resolution Infrared Spectra

Авторы: Allen H.C., Cross P.C.

Аннотация:

Since 1945 there has been a vigorous development in infrared instrumentation.
Commercial spectrometers are now available that can resolve the rotational structure of vibrational bands of.lighter molecules, and many research instruments are available that can resolve the rotational structure in the spectra. of moderately heavy molecules. Much of the basic theory for the interpretation of these spectra was developed during the early years of quantum mechanics. The.available knowledge up to 1945 is well covered in the excellent book by Herzberg. - In the past fifteen years fIluch of this theory has been correlated and extended. Unfortunately, most of this work was scattered throughout the literature. It is our purpose to present this material in an orderly manneF, to relate the diverse notations, and to summarize some of the accumulated experience in applying the theory to the analysis of observed spectra. The treatment in the first five. chapters is intended to give a consistent development of the basic theory. The aim has been to present the theory with sufficient completeness to enable the reader to understand its derivation and to be prepared to extend and adapt the methods involved to new problems. No attempt has been made to include all the esoteric extensions of he theory that have been made in the past few years, since these treatments are so detailed that the notation becomes ponderous and confusing to the beginner.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1st edition

Год издания: 1963

Количество страниц: 324

Добавлена в каталог: 19.09.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Inversion of molecules, ${CH}_{3}X$ -type molecule      74
Inversion of molecules, ${XY}_{3}X$ -type molecule      73ff
Inversion of molecules, barriers to      73
Inversion of molecules, doubling      72ff 170
Jahn's condition      see “Jahn's rule”
Jahn's criterion      see “Jahn's rule”
Jahn's rule      50 64 68 69
Jahn, H.A.      50 67 68 104
Jordahl, O.M.      82 84
k asymmetry parameter, definition      18
Kilb, R.W.      84
Kinetic energy interactions      3
Kinetic energy interactions, rotational-vibrational interactions      37 47
Kinetic energy, classical, of internal rotation      78
Kinetic energy, classical, of internal rotation, rotational      3
Kinetic energy, classical, of internal rotation, translational      3
Kinetic energy, classical, of internal rotation, vibrational      3
Kinetic energy, classical, of vib-rotors      2ff
King, G.W.      10 13 15 227 266
Kivelson, D.      42 269
l-type doubling, linear rotors      51ff 126
l-type doubling, symmetric rotors      61ff 161
Lawrence, R.B.      46
Lide, D.R., Jr.      77
Lin, C.C.      77
Line strengths      94ff
Line strengths, asymmetric rotors      105ff 290ff
Line strengths, asymmetric rotors, sum rules for      106
Line strengths, definition      95
Line strengths, linear rotors      104
Line strengths, relation to relative intensities      11 Off 290
Line strengths, spherical rotors      104
Line strengths, spherical rotors, heavy molecules      104
Line strengths, symmetric rotor      102ff
Line strengths, tables of, for asymmetric rotor      290ff
Linear rotors      8 17 46 48ff 113ff
Linear rotors, analysis of spectra of      113ff
Linear rotors, centrifugal distortion correction      46 113
Linear rotors, Coriolis interaction      48ff
Linear rotors, energy      17 113
Linear rotors, Hamiltonian      8
Linear rotors, l-type doubling      51 126
Linear rotors, nuclear-spin statistics      87
Lirfear rotors, $\Pi - \Pi$ band      126ff
Lirfear rotors, $\Pi - \Pi$ band, energy levels and allowed transitions of      125
Lirfear rotors, $\Pi - \Pi$ band, l-type doubling in      126
Lirfear rotors, $\Pi - \Pi$ band, of ${CS}_{2}$       127
Lirfear rotors, $\Pi - \Pi$ band, of ${N}_{2}O$       127
Lirfear rotors, $\Pi - \Sigma$ bands, energy levels and allowed transitions      114
Lirfear rotors, $\Pi - \Sigma$ bands, of ${C}_{2}{H}_{2}$       123
Lirfear rotors, $\Pi - \Sigma$ bands, of ${N}_{2}O$       123
Lirfear rotors, $\Pi - \Sigma$ bands, of HCN      123 124
Lirfear rotors, $\Sigma - \Pi$ band      124ff
Lirfear rotors, $\Sigma - \Pi$ band, energy levels and allowed transitions      125
Lirfear rotors, $\Sigma - \Sigma$ bands      113ff
Lirfear rotors, $\Sigma - \Sigma$ bands, energy levels and allowed transitions      114 115
Lirfear rotors, symmetry properties and statistical weights      86ff
Longuet-Higgins, H.C.      53 55
Mass-weighted coordinates      4 48
Meal, J.H.      283 288 289
Mecke, R.      28 32 261
Mills, I.M.      84 176
Molecular model      2
Molecular model, for ${C}_{2}{H}_{4}$       197
Molecular model, for linear polyatomic rotors      8
Molecular parameters, determination of from inertial constants      128
Moments of inertia, expansion in terms of vibrational quantum numbers      39
Moments of inertia, instantaneous      4
Moments of inertia, principal      7
Momentum, angular, conjugate to ${Q}_{k}$       5 see
Mould, H.M.      170
Mulliken, R.S.      28
Nielsen, H.H.      8 50 52 53 64 76 77 111 221 222
Normal coordinates      3 4 54 55
Nuclear spin states of ${CH}_{3}X$ -type molecule      92
Nuclear spin statistics      41ff
Nuclear spin statistics, of ${CH}_{3}X$ -type molecules      91ff
Nuclear spin statistics, of ${C}_{2}{H}_{4}$       195
Nuclear spin statistics, of linear molecules      87ff
Nuclear spin statistics, of symmetric rotors      88ff
Nuclear spin statistics, table of      93
o parity of changes in ${K}_{-1}$ or K      26 107ff
Oblate symmetric rotor      17 19 139 see
Oblate symmetric rotor, $\omega$ , angular velocity      3 4
Olson, W.B.      208 262
Overtones of degenerate vibrations, symmetry species of      165
Pauling, L.      22
Phase factor      13
Pickworth, J.      159
Placzek, G.      87
Plyler, E.K.      170 175 200 208 209 227
Polo, S.R.      283 288 289
Price, W.C.      170
Principal axes of inertia      7 38
Products of inertia, instantaneous      4
Prolate symmetric rotor      17 19 134 see
Pryce, M.H.L.      84
Rank, D.H.      126 127
Ray, B.S.      18 19 28
Relative intensity, calculation from line strengths      110 290
Rigid rotor      7 9ff
Rigid rotor, Hamiltonian      9
Rigid rotor, harmonic oscillator approximation      7
Rotating coordinate system      2 3
Rotating coordinate system, conditions on      3 4
Rotating coordinate system, conditions on, for linear rotor      8
Rotating coordinate system, definition      3 4
Rotation group, three-dimensional      22
Rotation group, two dimensional, ${D}_{\infty}(Z)$       22
Rotational constants, definition      15
Rotational constants, effective      37 38
Rotational constants, expansion in terms of vibrational quantum numbers      39
Rotational constants, of ${CDH}_{3}$       138 163 170
Rotational constants, of ${CD}_{3}H$       141 146
Rotational constants, of ${D}_{2}O$       227
Rotational constants, of HCN      119
Rotational sub-group      88ff
Rotational sub-group, of ${C}_{3v}$       89
Rotational sub-group, of ${D}_{3d}$       88
Rotational sub-group, of ${D}_{3h}$       88
Rotational sub-group, of ${T}_{d}$       88
Schawlow, A.H.      2

Schroedinger equation      2
Selection rules      94ff
Selection rules, asymmetric rotor, A-type band      107 178
Selection rules, asymmetric rotor, B-type band      107 207
Selection rules, asymmetric rotor, C-type band      107 204
Selection rules, linear rotor, $\Pi - \Pi$ band      126
Selection rules, linear rotor, $\Pi - \Sigma$ band      121 122
Selection rules, linear rotor, $\Sigma - \Pi$ band      124
Selection rules, linear rotor, $\Sigma - \Sigma$ band      113
Selection rules, symmetric rotor      95ff
Selection rules, symmetric rotor, hybrid band      99 130
Selection rules, symmetric rotor, parallel band      99 130
Selection rules, symmetric rotor, perpendicular band      99 130
Sheng, H.Y.      76
Shortley, G.H.      10
Smith, W.V.      2
Solutions of E(b), explicit      30
Solutions of E(k), explicit      30
Space quantization      14
Space-fixed coordinate system      2
Species classification, asymmetric rotor of, functions in V of      24
Species classification, correlation of notation in the literature of      28
Species classification, symmetric rotor function in ${D}_{\infty}(Z)$ of      24
Species classification, symmetric rotor function in V of      24
Spherical rotor      17 46 104
Spherical rotor, centrifugal distortion      46
Spherical rotor, Coriolis interaction      67
Spherical rotor, energy      17
Spherical rotor, line strengths      104
Spherical rotor, selection rules      67
Statistical weight factors      17 93ff
Statistical weight factors, of ${CD}_{3}X$       93
Statistical weight factors, of ${CH}_{3}X$       92
Statistical weight factors, of vibrational-rotational levels      93ff
Stochastic method of analysis      177
Strandberg, M.W.P.      46
Structure of spectral band      109
Structure of spectral band, branch and sub-branch notation      107ff
Structure of spectral band, branch and sub-branch notation, line strengths      290ff
Sub-bands of asymmetric rotor bands      177ff
Sub-bands of asymmetric rotor bands, even, A-type band      179
Sub-bands of asymmetric rotor bands, even, B-typeband      210 211
Sub-bands of asymmetric rotor bands, even, C-type band      204
Sub-bands of asymmetric rotor bands, odd, A-type band      179
Sub-bands of asymmetric rotor bands, odd, B-type band      210 211
Sub-bands of asymmetric rotor bands, odd, C-type band      204
Sum rules      106
Sum rules, for asymmetric rotor energies      32 43 261 262
Sum rules, for asymmetric rotor energies, including centrifugal distortion      43 262
Sutherland, G.B.B.M.      75
Symmetric rotor, centrifugal distortion      46
Symmetric rotor, Coriolis interaction      53ff
Symmetric rotor, definition      16
Symmetric rotor, energy, in doubly degenerate state      55
Symmetric rotor, energy, oblate rotor of      17 19
Symmetric rotor, energy, prolate rotor of      17 20
Symmetric rotor, hybrid band      61ff 164ff
Symmetric rotor, hybrid band, of ${CD}_{3}H$       164ff
Symmetric rotor, inversion splitting in      72 170
Symmetric rotor, line strengths      102ff
Symmetric rotor, molecules with internal rotation      175
Symmetric rotor, parallel bands      131ff
Symmetric rotor, parallel bands, analysis of      131ff
Symmetric rotor, parallel bands, line strengths      103
Symmetric rotor, parallel bands, of ${CDH}_{3}$       134ff
Symmetric rotor, parallel bands, of ${CD}_{3}H$       139ff
Symmetric rotor, parallel bands, of ${C}_{2}{D}_{6}$       147
Symmetric rotor, parallel bands, selection rules      99 130
Symmetric rotor, parallel bands, sub-band structure of      132 133
Symmetric rotor, perpendicular bands      149ff
Symmetric rotor, perpendicular bands, analysis of      149ff
Symmetric rotor, perpendicular bands, analysis of, of ${CDH}_{3}$       159ff
Symmetric rotor, perpendicular bands, analysis of, of ${CFH}_{3}$       154ff
Symmetric rotor, perpendicular bands, analysis of, of ${C}_{3}{H}_{4}$ (methyl acetvlene)      153
Symmetric rotor, perpendicular bands, l-type doubling in      161
Symmetric rotor, perpendicular bands, line strengths      103
Symmetric rotor, perpendicular bands, selection rules      99 130
Symmetric rotor, perpendicular bands, sub-band structure of      150
Symmetric rotor, selection rules      95ff
Symmetric rotor, wave functions      22 89
Symmetric rotor, wave functions, classification under ${C}_{3}$       89 90
Symmetric rotor, wave functions, classification under ${D}_{3}$       91
Symmetric rotor, wave functions, classification under ${D}_{\infty}(Z)$       22
Symmetric rotor, wave functions, classification under V      24
Symmetry properties, of asymmetric rotor, energy factors      25
Symmetry properties, of asymmetric rotor, wave functions      21ff
Symmetry properties, of symmetric rotor wave functions      88
Teller, E.      87
Thompson, H.W.      84 159 176
Three-dimensional rotation group      22
Tidwell, E.D.      170 175
Tpwnes, C.H.      2
Trambarulo, R.F.      2
Transformation, to diagonalize asymmetric rotor energy      31
Translational kinetic energy      3
Translational kinetic energy, rotational interaction with      3
Translational kinetic energy, vibrational interaction with      3
V, four group, character table      22
V, four group, classification of asymmetric rotor functions      24
V, four group, classification of symmetric rotor functions      24
Valence-bond coordinates for evaluation of ${\tau}_{gg'jj'}$       273ff
Van Vleck, ].H.      10 23 82 84
Van Vleck-Jordahl perturbation method      34 92
Vibrational amplitudes      7
Vibrational kinetic energy      3 7
Vibrational-rotational interaction      3 111
Vibrational-rotational interaction, effect on intensities of      111
Wang asymmetry parameter      20 263
Wang functions      23 105 233
Wang functions, definition      23
Wang functions, symmetry of      233
Wang transformation      24 40 41
Wang transformation, definition      24
Wang, S.C.      20 41 105
Wave function, asymmetric rotor      23
Wave function, asymmetric rotor, correlation of, under V      24
Wave function, symmetric rotor      22 89 231
Wave function, symmetric rotor, correlation under ${D}_{\infty}(Z)$       24
Wave function, symmetric rotor, correlation under ${D}_{\infty}(Z),$ under V      24
Wiggins, T.A.      127 '
Wilkinson, G.R.      170
Wilson, E.B., Jr.      2 6 21 22 40 42 55 64 68 77 269 287

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