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Prigogine I., Rice S.A. — Advances in chemical physics. Volume 117
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Íàçâàíèå: Advances in chemical physics. Volume 117Àâòîðû: Prigogine I., Rice S.A. Àííîòàöèÿ: Providing the chemical physics field with a forum for critical, authoritative evaluations in every area of the discipline, the latest volume of Advances in Chemical Physics continues to provide significant, up-to-date chapters written by internationally recognized researchers.
This volume is essentially devoted to helping the reader obtain general information about a wide variety of topics in chemical physics. Advances in Chemical Physics, Volume 117 includes chapters addressing laser photoelectron spectroscopy, nonadiabatic transitions due to curve crossings, multidimensional raman spectroscopy, birefringence and dielectric relaxation in strong electric fields, and crossover formulae for Kramers Theory of thermally activated escape rates.
ßçûê: Ðóáðèêà: Ôèçèêà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 2001Êîëè÷åñòâî ñòðàíèö: 831Äîáàâëåíà â êàòàëîã: 03.08.2014Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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Strong responses, dc electric field, nonlinear dielectric relaxation, exact solutions 330—347 Strong responses, dc electric field, nonlinear dielectric relaxation, problem formulation and solution 317—330 Strong responses, dc electric field, nonlinear dielectric relaxation, relaxation spectra evaluation 343—347 Strong responses, dc electric field, nonlinear dielectric relaxation, relaxation time/spectra evaluation 340—343 Strong responses, nonlinear stationary responses, polar and polarizable molecules, superimposed ac and dc bias electric fields 382—394 Strong responses, steady-state response from weak electric field, dynamic Kerr effect 347—358 Strong responses, steady-state response from weak electric field, dynamic Kerr effect, activation law behavior 356—358 Strong responses, steady-state response from weak electric field, dynamic Kerr effect, correlation time integral representation 354—356 Strong responses, steady-state response from weak electric field, dynamic Kerr effect, dipole moment evaluations 351—353 Strong responses, steady-state response from weak electric field, dynamic Kerr effect, linear response theory 347—349 Strong responses, steady-state response from weak electric field, dynamic Kerr effect, relaxation function and times, evaluation of 353—354 Strong responses, steady-state response from weak electric field, dynamic Kerr effect, transient and relaxation times 350—351 Strong responses, steady-state response from weak electric field, perturbation solutions 358—373 Strong responses, steady-state response from weak electric field, perturbation solutions, dispersion plots 368—373 Strong responses, steady-state response from weak electric field, perturbation solutions, equilibrium and first-order solutions, matrix continued fractions 362—364 Strong responses, steady-state response from weak electric field, perturbation solutions, second-order solutions 364—368 Stueckelberg, E.C.G. 128—129(3) 133(3) 230 Sturm — Liouville technique, Kramers reaction rate theory, rigid Brownian rotator escape times, bistable potential, Green function time evolution 760—762 Sugawara, M. 215—216(99) 233 Sulfur-containing molecules, laser photoelectron spectroscopy 105—116 Sulfur-containing molecules, laser photoelectron spectroscopy, dimethyl sulfide 113—116 Sulfur-containing molecules, laser photoelectron spectroscopy, methanethiol 108—112 Sulfur-containing molecules, laser photoelectron spectroscopy, thiirane 106—108 Sun, X. 131(28) 168(28) 230(28) 231 Sundstroem, G. 10(63—64 66) 119 Sung, J. 262(97) 270(97) 273 Superexcited states, SH radical spectroscopy 58—59 Superexcited states, three-atomic molecules 83 Superexcited states, three-atomic molecules, carbon dioxide molecules 92—93 Superimposed ac/dc magnetic fields, nonlinear Brownian relaxation, anisotropically polarized molecules 383—394 Superimposed ac/dc magnetic fields, nonlinear Brownian relaxation, rigid polar molecules, asymptotic expansion 380—382 Superimposed ac/dc magnetic fields, superparamagnetic particle relaxation, uniaxial potential 456—460 Superimposed ac/dc magnetic fields, weak ac field steady-state response superimposed on dc bias field, dynamic Kerr effect 347—358 Superimposed ac/dc magnetic fields, weak ac field steady-state response superimposed on dc bias field, dynamic Kerr effect, activation law behavior 356—358 Superimposed ac/dc magnetic fields, weak ac field steady-state response superimposed on dc bias field, dynamic Kerr effect, correlation time integral representation 354—356 Superimposed ac/dc magnetic fields, weak ac field steady-state response superimposed on dc bias field, dynamic Kerr effect, dipole moment evaluations 351—353 Superimposed ac/dc magnetic fields, weak ac field steady-state response superimposed on dc bias field, dynamic Kerr effect, linear response theory 347—349 Superimposed ac/dc magnetic fields, weak ac field steady-state response superimposed on dc bias field, dynamic Kerr effect, matrix continued fractions 353—354 Superimposed ac/dc magnetic fields, weak ac field steady-state response superimposed on dc bias field, dynamic Kerr effect, relaxation function and times, evaluation of 353—354 Superimposed ac/dc magnetic fields, weak ac field steady-state response superimposed on dc bias field, dynamic Kerr effect, transient and relaxation times 350—351 Superimposed ac/dc magnetic fields, weak ac field steady-state response superimposed on dc bias field, perturbation solutions 358—373 Superimposed ac/dc magnetic fields, weak ac field steady-state response superimposed on dc bias field, perturbation solutions, dispersion plots 368—373 Superimposed ac/dc magnetic fields, weak ac field steady-state response superimposed on dc bias field, perturbation solutions, equilibrium and first-order solutions, matrix continued fractions 362—364 Superparamagnetic particles, Kramers reaction rate theory, rotational Brownian motion 501—504 Superparamagnetic particles, relaxation effects 446—460 Superparamagnetic particles, relaxation effects, strong dc field, Langevin equation 447—450 Superparamagnetic particles, relaxation effects, transient nonlinear response 450—456 Superparamagnetic particles, relaxation effects, uniaxial particles, ac/dc bias magnetic fields 456—459 Superposition principle, Kramers reaction rate theory, crossover between IHD/VLD regimes, Green's function of energy diffusion equation 638—639 Superposition principle, Kramers reaction rate theory, crossover between IHD/VLD regimes, Wiener — Hopf integral equation, energy distribution function 642—646 Survival process, laser photoelectron spectroscopy, hydrogen and deuterium molecules 9—11 Suto, M. 42(138) 121 Swanson, J.A. 579(71) 581(71) 764 Symmetric stretch, Kramers reaction rate theory, low-damping (LD) regime, escape rate calculations, stretching transformation, mean first passage times (MFPT) 622—623 Symmetric stretch, OCS fragmentation 93—97 Szabo, A. 309(62) 479 Talkner, P. 486—491(1) 501(1) 504(1) 527(1) 541(1) 576(1) 578—579(1) 581—583(1) 585(1) 588(1) 597(1) 601(1) 608(1) 611(1) 617(1) 620(1) 623(1) 632(1) 635(1) 656(1) 743(1) 762(1) 762 Tanabe, T. 10(61) 119 Tanaka, K. 32(105) 120 Tanaka, Y. 86(232) 94(232) 123 Tanimura, Y. 257(59 71 75—81) 260(78) 264(75 78) 272 Tarjus, G. 254(49) 272 Tasumi, M. 252(38—40) 271 Taylor-series expansion, coherent anti-Stokes Raman scattering (CARS), intramolecular vibrations 241—243 Taylor-series expansion, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, nonaxial formula divergence for small axial symmetry departures 683—690 Taylor-series expansion, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, steepest descent evaluation, partition functions 714—715 Taylor-series expansion, Kramers reaction rate theory, intermediate-to-high damping (IHD) limit, magnetic spins 594—598 Taylor-series expansion, Kramers reaction rate theory, intermediate-to-high damping (IHD) regime, Langer's treatment of 583—588 Taylor-series expansion, Kramers reaction rate theory, Klein — Kramers equation, linearized Klein — Kramers equation, potential barrier summit, IHD regimes 523—524 Taylor-series expansion, Kramers reaction rate theory, Klein — Kramers equation, probability density, state space evolution 516—520 518—520 Taylor-series expansion, Kramers reaction rate theory, Langevin/Fokker — Planck equations 495—497 Taylor-series expansion, Kramers reaction rate theory, low-damping (LD) regime, escape rate calculations, stretching transformation, mean first passage times (MFPT) 620—623 Taylor-series expansion, Stratonovich proof 463—465 Teegan, J.P. 109(293) 111(293) 113(293) 125 Tejada, J. 211(98) 219(98) 233 Temkin, S.I. 278(11) 416—417(11) 428(11) 433(11) 438(11) 477 ter Steege, D.H.A. 72(199) 79—81(199) 123 Teranishi, y. 131(44 46—47) 182(44) 192(44) 206—207(46—47) 212(44) 231 Terazawa, N. 30(100) 32(105—106) 120 Term value plots, NH radical spectroscopy 63—66 Thantu, N. 257(55 57) 272 Theinl, R. 59(154) 121 Thiel, A. 132(57) 232 Thiirane, laser photoelectron spectroscopy 106—108 Thomas, L. 133(67) 211(67) 232 674(85) 741(85) 764 Thouless, D.J. 133(64) 182(64) 232 Three-atomic molecules, 16-valence electrons, laser photoelectron spectroscopy 81—97 Three-atomic molecules, 16-valence electrons, laser photoelectron spectroscopy, 83—85 Three-atomic molecules, 16-valence electrons, laser photoelectron spectroscopy, carbon dioxide excited states 92—93 Three-atomic molecules, 16-valence electrons, laser photoelectron spectroscopy, OCS fragmentation 93—97 Three-atomic molecules, 16-valence electrons, laser photoelectron spectroscopy, REMPI-PES with 97 Three-atomic molecules, 16-valence electrons, laser photoelectron spectroscopy, structure and properties 81—83 Three-atomic molecules, 16-valence electrons, laser photoelectron spectroscopy, vibronic couplinc, 86—92 Three-dimensional Brownian motion, dielectric and Kerr effect relaxation 462—463 Three-photon excitation, CIO radicals 70—72 Three-photon excitation, CIO radicals, E, F, and G Rydberg states 73—77 Three-photon excitation, thiirane molecule 108 Threshold effect, noncurve crossing, nonadiabatic transitions 181—182 Thurston, G.B. 282(23) 286(23) 292(23) 326(23) 478 Tier, C. 542—543(44) 610—612(44) 617—618(44) 626(44) 629(44) 763 Time dependence, coherent anti-Stokes Raman scattering (CARS), intramolecular vibrations 242—243 Time dependence, Kramers reaction rate theory, rigid Brownian rotator escape times, bistable potential, Green's function time evolution, Fokker — Planck equation, zero-frequency limit, delta function orientation distribution 745—749 Time dependence, Kramers reaction rate theory, rigid Brownian rotator escape times, bistable potential, Green's function time evolution, integral expression of escape time 743—745 Time dependence, Kramers reaction rate theory, rigid Brownian rotator escape times, bistable potential, Green's function time evolution, principles 741—743 Time dependence, Kramers reaction rate theory, rigid Brownian rotator escape times, bistable potential, Green's function time evolution, series expression for summit time 752—753 Time dependence, Kramers reaction rate theory, rigid Brownian rotator escape times, bistable potential, Green's function time evolution, uniaxial anisotropy explicit expression 753—758 Time dependence, nonadiabatic transitions, curve crossings 131—132 Time dependence, nonadiabatic transitions, external fields, molecular control, exponential nonadiabatic transition 224—229 Time dependence, nonadiabatic transitions, external fields, molecular control, Landau — Zener nonadiabiatic transition 215—219 Time dependence, nonadiabatic transitions, external fields, molecular control, laser field control 214—229 Time dependence, nonadiabatic transitions, external fields, molecular control, Rosen — Zener nonadiabiatic transition 219—224 Time dependence, nonadiabatic transitions, external fields, molecular control, theoretical background 206—214 Time dependence, nonadiabatic transitions, level crossings 132—133 Time dependence, nonadiabatic transitions, level crossings, applications 188—201 Time dependence, nonadiabatic transitions, level crossings, Demkov — Osherov model 203—201 Time dependence, nonadiabatic transitions, level crossings, Nikitin's model 201—203 Time dependence, nonadiabatic transitions, level crossings, quadratic solutions 182—188 Time-resolved laser photoelectron spectroscopy, molecular excited states 5—8 Titchmarsh, E.C. 501(35) 632(35) 638—639(35) 644—645(35) 660(35) 763 Titov, S.V. 283(31) 286—287(31) 295(31) 296(55) 298(55) 299(59) 301—302(59) 309(31) 311(31) 316(31) 318(55) 321(55 65—66) 331(31) 333(31) 337(31) 340(31) 439(113) 448(130—133) 449(132) 451—452(130) 455(65) 459(65) 478—481 566(51) 578(60) 579(67) 752(67) 763—764 Titulaer, U.M. 547(47) 763 Tokmakoff, A. 242(11) 257(66—69) 260(66) 261(66 68—69) 264(66—67) 265(67) 267(122) 271—272 274 Tokoue, I. 106—108(284) 109(294) 111(294) 113—114(301) 125 Tolles, W.M. 282—283(18) 289(18) 340(18) 346—347(18 69) 478—479 Tolman, R.C. 504—506(40) 508(40) 763 Tolstikhin, O.I. 162—163(89—90) 164(89) 165(91) 233 Tominaga, K. 252(38—40) 257(60—63) 261(60 62—63) 266—267(118—120) 268—269(119) 271—274 Tonkyn, R.G. 86(228) 123 Torre, R. 245(19) 271 Toth, R.A. 71(180) 122 Trajectory surface hopping (TSH), nonadiabatic transitions, multichannel and multidimensional problems 131 Trajectory surface hopping (TSH), two-state curve crossing, nonadiabatic transitions, multidimensional problems 168 Transient relaxation, dynamic Kerr effect, weak ac electric field steady-state response superimposed on dc bias field 350—351 Transient relaxation, molecular hyperpolarizability, nonlinear step-on response 403—412 Transient relaxation, nonlinear dielectric and birefringent high fields 283—288 Transient relaxation, nonlinear dielectric and birefringent high fields, build-UP processes, relaxation times 286—288 Transient relaxation, nonlinear dielectric and birefringent high fields, step-on response, nonpolar polarizable molecules 285—286 Transient relaxation, nonlinear dielectric and birefringent high fields, step-on response, polar molecules 284—285 Transient relaxation, nonlinear dielectric/dynamic Kerr relaxation, strong dc electric field, exact solutions 330—347 Transient relaxation, nonlinear dielectric/dynamic Kerr relaxation, strong dc electric field, problem formulation and solution 317—330 Transient relaxation, nonlinear dielectric/dynamic Kerr relaxation, strong dc electric field, relaxation spectra evaluation 343—347 Transient relaxation, nonlinear dielectric/dynamic Kerr relaxation, strong dc electric field, relaxation time/spectra evaluation 340—343 Transient relaxation, nonlinear dielectric/dynamic Kerr relaxation, strong dc electric field, step-on response evaluation 336—340 Transient relaxation, superparamagnetic particle relaxation, nonlinear response 450—456 Transition probabilities, (3 + 1) resonance-enhanced multiphoton ionization (REMPI) spectroscopy, hydrogen molecule photodissociation 19—23 Transition probabilities, molecular control, time-dependent external fields, theoretical background 206—214 Transition probabilities, nonadiabatic transitions, time-dependent level crossings, generalizations and applications 188—201 Transition probabilities, nonadiabatic transitions, time-dependent level crossings, quadratic model 184—188 Transition probabilities, noncurve crossing, nonadiabatic transitions, attractive potential model 180—181 Transition probabilities, noncurve crossing, nonadiabatic transitions, repulsive potential model 177—178 Transition probabilities, time-dependent level crossings, nonadiabatic transitions 192—201 Transition state theory (TST), Arrhenius law 487—490 Transition state theory (TST), Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, nonaxial formula divergence for small axial symmetry departures 684—690 Transition state theory (TST), Kramers reaction rate theory, crossover between IHD/VLD regimes, prefactor escape rate as departure from 632—634 Transition state theory (TST), Kramers reaction rate theory, escape rate validity 499—501 Transition state theory (TST), Kramers reaction rate theory, Klein — Kramers equation, range of validity, IHD vanishing friction limit 549 Transition state theory (TST), Kramers reaction rate theory, Klein — Kramers equation, reaction rate calculations 529—531 Transition state theory (TST), Kramers reaction rate theory, Klein — Kramers equation, small viscosity model, VLD escape rate calculation 539—541 Transition state theory (TST), Kramers reaction rate theory, rotational Brownian motion 501—504 Transmission probability, two-state curve crossing, nonadiabatic transitions, Landau — Zener — Stueckelberg problems, nonadiabatic tunneling case 148—151 Transport matrix, Kramers reaction rate theory, intermediate-to-high damping (IHD) limit, Kramers' formula as Langer's formula 589—593 Transport matrix, Kramers reaction rate theory, intermediate-to-high damping (IHD) limit, Langer's treatment of 581—588 Transport matrix, Kramers reaction rate theory, intermediate-to-high damping (IHD) limit, magnetic spins 594—598 Transverse susceptibility, inertial effects, dielectric and birefringence relaxation, dielectric response 427—428 Transverse susceptibility, inertial effects, dielectric and birefringence relaxation, spectra and relaxation times 429—439 Transverse susceptibility, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, nonaxial formula divergence for small axial symmetry departures 686—690 Transverse susceptibility, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, uniaxial/LD crossovers 702—703 Transverse susceptibility, Kramers reaction rate theory, crossover between IHD/VLD regimes, magnetic relaxation 656—657 Transverse susceptibility, Kramers reaction rate theory, low-damping (LD) regime, escape rate calculations, escape rate, weak transverse field 624—625 Triatomic systems, nonadiabatic curve crossings, multidimensional problems 162—168 Trigonometric equations, inertial effects, dielectric and birefringence relaxation, free rotational motion 421—425 Tronc, E. 674(86) 764 Tschirschwitz, F. 266(116) 273 Tsuboi, T. 10(69 81) 119 Tsuji, M. 84(206) 123 282(19) 462(19) 478 Tsukada, M. 132(51) 232 Tsukiyama, K. 96—97(260) 124 Tully, J.C. 128(9) 131(27 30) 134(9) 162(84) 168(27 30) 230(28 30) 230—231 233 Turnbull, H.W. 585—586(74) 594(74) 764 Turner, D.W. 6(27) 28(27) 117 Turner, M.B.E. 42(137) 121 Tutcher, B. 43(145) 121 Two-color excitation spectra, (1 + 1' REMPI), hydrogen molecules 30—34 Two-color excitation spectra, SH radical spectroscopy 52—54 Two-photon interaction, dimethyl sulfide 114—116 Two-photon interaction, NH radical spectroscopy 62—70 Two-photon interaction, SH radical 45—59 Two-photon interaction, thiirane molecule 107—108 Two-state curve crossing, nonadiabatic transitions, early research on 128—129 Two-state curve crossing, nonadiabatic transitions, Landau — Zener — Stueckelberg problems, complete solutions 134—151 Two-state curve crossing, nonadiabatic transitions, Landau — Zener — Stueckelberg problems, historical background 133—134 Two-state curve crossing, nonadiabatic transitions, Landau — Zener — Stueckelberg problems, Landau — Zener case 142—146 Two-state curve crossing, nonadiabatic transitions, multichannel and multidimensional problems, I-matrix propagation 152—153 Two-state curve crossing, nonadiabatic transitions, multichannel and multidimensional problems, research background 130 Two-state curve crossing, noncurve crossing, nonadiabatic transitions, Rosen — Zenker — Demkov model 174—175 Ubachs, W. 29(97—98) 30—31(97) 33(97) 120 Uhlenbeck, G.E. 491(42) 493(29) 512(29) 515(29) 521(42) 528(42) 763 Ukai, M. 30(100) 32(105—106) 34(109) 120 Ullman, R. 352(71) 479 Ulness, D.J. 261(96) 266(96 103—108 111 113—114) 273 Umanskii, S.Ya. 128(6) 169(6) 171(6) 177(6) 201(6) 224(6) 230 Ungerade states, (1 + 1') resonance-enhanced multiphoton ionization, hydrogen molecules 32—34 Ungerade states, three-atomic molecules, carbondisulfide complexes 84—85 Uniaxial symmetry, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, nonaxial formula divergence for small axial symmetry departures 684—690 Uniaxial symmetry, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, perturbation 703—706 725—740 Uniaxial symmetry, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, VLD uniaxial/LD crossovers 698—703 718—720 Uniaxial symmetry, Kramers reaction rate theory, low-damping (LD) regime, escape rate calculations, stretching transformation, mean first passage times (MFPT) 622—623 Uniaxial symmetry, Kramers reaction rate theory, rigid Brownian rotator escape times, bistable potential, Green function time evolution 753—758 Uniaxial symmetry, Kramers reaction rate theory, rotational Brownian motion 502—504 Uniaxial symmetry, Kramers reaction rate theory, rotational Brownian motion, single domain ferromagnetic particles 562—566 Uniaxial symmetry, nonlinear Brownian relaxation, strong electric fields, one-dimensional relaxation models 312—317 Uniaxial symmetry, superparamagnetic particle relaxation, superimposed ac/dc bias magnetic fields 456—460 Uniaxial symmetry, superparamagnetic particle relaxation, superimposed ac/dc bias magnetic fields, transient nonlinear response 451—456 Uniform asymptotic expansion, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, nonaxial formula divergence for small axial symmetry departures 681—690 Uniform asymptotic expansion, Kramers reaction rate theory, low-damping (LD) regime, escape rate calculations 611—613 Uniform asymptotic expansion, Kramers reaction rate theory, low-damping (LD) regime, escape rate calculations, mean first passage time (MFPT) expression 617—619 Uniform asymptotic expansion, Kramers reaction rate theory, low-damping (LD) regime, escape rate calculations, Stokes' theorem derivation 618—619 627—628 Unimolecular rate theory, Kramers reaction rate theory, intermediate-to-high damping (IHD) limit, Langer's treatment of 588 Urbain, X. 10(60) 19(60) 21(60) 119 Urban, S. 568(83) 626(83) 741(83) 764 Ushakov, V.G. 131(32) 170—171(32) 224(32) 231 Vaida, V. 72(198) 79(198) 84(219) 99(274) 122—123 125 Valence electrons, three-atomic molecules, laser photoelectron spectroscopy 81—97 Valence electrons, three-atomic molecules, laser photoelectron spectroscopy, 83—85 Valence electrons, three-atomic molecules, laser photoelectron spectroscopy, carbon dioxide excited states 92—93 Valence electrons, three-atomic molecules, laser photoelectron spectroscopy, OCS fragmentation 93—97 Valence electrons, three-atomic molecules, laser photoelectron spectroscopy, REMPI-PES with 97 Valence electrons, three-atomic molecules, laser photoelectron spectroscopy, structure and properties 81—83 Valence electrons, three-atomic molecules, laser photoelectron spectroscopy, vibronic couplinc, 86—92 Vallance-Jones, A. 35(110) 120 van der Zande, W.J. 6(25) 10(66) 11—13(25) 16(25) 19(25) 22(25) 25(25) 28(25) 33—34(25) 93(25) 117 119 van Dishoeck, E.F. 35—36(116) 120 Van Kampen, N.G. 487—488(27) 489(27—28) 493(27—28) 495(27—28) 497—498(27—28) 505(27—28) 532(27—28) 538(27—28) 547(27) 550(27—28) 613(75) 626(75) 763—764 van Linden van den Heuvell, H.B. 10(68 70—71) 12(68) 17(71) 33(68 70) 34(70) 119 van Veen, N. 36(119) 38(119) 120 van Voorst, J.D.W. 251(34—35) 252(36) 271 Vanden Bout, D. 250(30) 252(30 37 41) 253(37) 254(30 46) 256(30) 277—272 Vanishing friction limit, Kramers reaction rate theory, Klein — Kramers equation, range of validity, IHD behavior 549 Vector stochastic differential equation, orientational relaxation, rotational diffusion model 295—300 Veerhuizen, H. 84(205) 123 Velocity distribution, Kramers reaction rate theory, Klein — Kramers equation 520—522 Velocity distribution, Kramers reaction rate theory, Klein — Kramers equation, small viscosity model, energy-phase variables 533—535 Verschuur, J.W.J. 10(68 70—71) 12(68) 17(71) 33(68 70) 34(70) 119 Vertal, L.E. 125 Very high damping (VHD) regime, Kramers reaction rate theory, Klein — Kramers equation, large viscosity model 543—548 Very low damping (VLD) regimes, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, energy diffusion method 695—698 Very low damping (VLD) regimes, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, interpolation formulas 694—695 Very low damping (VLD) regimes, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, pertubations, uniaxial case 703—706 Very low damping (VLD) regimes, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, uniaxial/LD crossovers 698—703 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, double well potential bridging formula 650—655 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, double well potential bridging formula, population proof 672—674 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, double well potential bridging formula, Wiener — Hopf Fourier transforms 669—672 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, energy variance proof 663—664 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, erfc??? proof 668—669 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, escape rate prefactor, TST expression 632—634 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, Fokker — Planck equation, energy-action variables 634—637 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, Fokker — Planck equation, energy-action variables, right-hand energy diffusion operator 657—658 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, Green's function, energy diffusion, proof 659—663 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, Green's function, energy diffusion, variables 638—639 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, integral formula for prefactor A 646—650 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, integral formula for prefactor A, radial convergence proof 665—667 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, integral formula for prefactor A, series expression of convergence 667—668 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, magnetic relaxation applications 656—657 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, metastable decay rate, whole damping range 655—656 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, particle crossover 631—632 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, single oscillation expression 658—659 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, Wiener — Hopf solution, energy distribution function distribution equation 639—646 Very low damping (VLD) regimes, Kramers reaction rate theory, crossover functions, Wiener — Hopf solution, energy distribution function distribution equation, Fourier transform proofs 664—665 Very low damping (VLD) regimes, Kramers reaction rate theory, escape rate validity 499—501 Very low damping (VLD) regimes, Kramers reaction rate theory, Klein — Kramers equation, range of validity 549—561 Very low damping (VLD) regimes, Kramers reaction rate theory, Klein — Kramers equation, range of validity, alternative derivation 552—555 Very low damping (VLD) regimes, Kramers reaction rate theory, Klein — Kramers equation, range of validity, damping regimes 550—551 Very low damping (VLD) regimes, Kramers reaction rate theory, Klein — Kramers equation, range of validity, linearized solution 527 Very low damping (VLD) regimes, Kramers reaction rate theory, Klein — Kramers equation, range of validity, numerical interpretation 551 Very low damping (VLD) regimes, Kramers reaction rate theory, Klein — Kramers equation, range of validity, small viscosity alternative 556—561 Very low damping (VLD) regimes, Kramers reaction rate theory, Klein — Kramers equation, range of validity, Smoluchowski equation derivation 555—556 Very low damping (VLD) regimes, Kramers reaction rate theory, Klein — Kramers equation, range of validity, vanishing friction limit 549 Very low damping (VLD) regimes, Kramers reaction rate theory, Klein — Kramers equation, reaction rate calculations 529—531 Very low damping (VLD) regimes, Kramers reaction rate theory, rotational Brownian motion, axial symmetry, magnetocrystalline anisotropy 570—575 Very low damping (VLD) regimes, Kramers reaction rate theory, small viscosity model, energy-phase variables 532—535 Very low damping (VLD) regimes, Kramers reaction rate theory, small viscosity model, energy-phase variables, small viscosity model, escape rate calculation 538—541 Very low damping (VLD) regimes, Kramers reaction rate theory, Wiener — Hopf integral equation 496—497 Very low damping (VLD) regimes, reaction rate theory 489—490 Vibrational branching ratios, (3 + 1) resonance-enhanced multiphoton ionization (REMPI) spectroscopy, hydrogen molecule photoionization 17—19 Vibrational resonant pathways, coherent anti-Stokes Raman scattering (CARS) 237—243 Vibrational resonant pathways, Raman-echo spectroscopy, liquid molecules 252—256 Vibronic structure, ammonia molecules 100—105 Vibronic structure, dimethyl sulfide 114—116 Vibronic structure, three-atomic molecules 81—82 Vibronic structure, three-atomic molecules, 86—92 Vibronic structure, three-atomic molecules, carbondisulfide complexes 84—85 97 Vidal, C.R. 99—100(275—276) 125 Vidal, M. 125 Visnawathan, K.S. 38(125) 121 Visscher, L. 72(199) 79—81(199) 123 Vogel, K. 656(100) 761(100) 765 Vollmer, H.D. 373(79) 479 656(100) 761(100) 765 Volterra integrodifferential equation, inertial effects, dielectric and birefringence relaxation, extended rotational diffusion model 418—425 Voronin, A.I. 170(94) 233 Voronov, G.S. 3(4) 117
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