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Books on the topic 'Molecular collision theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 15 February 2022

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1

Child, M. S. Molecular collision theory. Mineola, N.Y: Dover Publications, 1996.

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2

International Symposium on Atomic, Molecular and Solid-State Theory Collision Phenomena and Computational Quantum Chemistry (1981 Flagler Beach, Florida). Proceedings of the International Symposium on Atomic, Molecular and Solid-State Theory Collision Phenomena and Computational Quantum Chemistry, held at Flagler Beach, March 8-14, 1981. Edited by Löwdin Per-Olov and Öhrn Yngve. New York: Wiley, 1994.

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3

Gianturco, Franco A. Collision Theory for Atoms and Molecules. Boston, MA: Springer US, 1989.

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4

1938-, Gianturco Francesco A., ed. Collision theory for atoms and molecules. New York: Plenum Press, 1989.

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5

Gianturco, Franco A., ed. Collision Theory for Atoms and Molecules. Boston, MA: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4684-5655-4.

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6

D, Bosanac Slobodan, ed. Introduction to the theory of atomic and molecular collisions. Chichester: J. Wiley, 1989.

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7

Burke, Philip G. Theory of Electron--Atom Collisions: Part 1: Potential Scattering. Boston, MA: Springer US, 1995.

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8

Nilsson, Daniel. Energy transfer in molecular collisions: Statistical theory of activation and deactivation in gas phase. Göteborg: Göteborg University, 2007.

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9

Nilsson, Daniel. Energy transfer in molecular collisions: Statistical theory of activation and deactivation in gas phase. Göteborg: Göteborg University, 2007.

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10

Khare, S. P. Introduction to the Theory of Collisions of Electrons with Atoms and Molecules. Boston, MA: Springer US, 2001.

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11

Introduction to the theory of collisions of electrons with atoms and molecules. New York: Kluwer Academic/Plenum Publishers, 2002.

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12

Khare, S. P. Introduction to the Theory of Collisions of Electrons with Atoms and Molecules. Boston, MA: Springer US, 2001. http://dx.doi.org/10.1007/978-1-4615-0611-9.

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13

Rahman, N. K. Photons and Continuum States of Atoms and Molecules: Proceedings of a Workshop Cortona, Italy, June 16-20, 1986. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987.

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14

service), SpringerLink (Online, ed. Collisional Narrowing and Dynamical Decoupling in a Dense Ensemble of Cold Atoms. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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15

J, Kylstra N., and Potvliege R. M, eds. Atoms in intense laser fields. Cambridge: Cambridge University Press, 2011.

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16

Atomic and Molecular Collision Theory. Springer, 2012.

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17

Gianturco, Franco A. Atomic and Molecular Collision Theory. Springer, 2011.

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18

Bowman, J. M., and J. C. Rüegg. Molecular Collision Dynamics. Springer, 2011.

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19

Theory of Molecular Collisions. Cambridge: Royal Society of Chemistry, 2015. http://dx.doi.org/10.1039/9781782620198.

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20

Hirst, Jonathan, Gabriel G. Balint-Kurti, and Alexander Palov. Theory of Molecular Collisions. Royal Society of Chemistry, The, 2015.

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21

Morawetz, Klaus. Elementary Principles. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0002.

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The many-body theory combines ideas of thermodynamics with ideas of mechanics. In this introductory chapter, the symbiosis of these two different fields of physics is demonstrated on overly simplified models. We explore the principles of finite-range forces to show the twofold nature of virial corrections. Infrequent collisions with a large deflection angle lead to collision integrals and rather frequent encounters with deflections on small angles act as a mean field. The (mean-field) corrections to drift result in the internal pressure and the nonlocal correction to the collisions results in the effect of the molecular volumes. The concept of distribution functions is introduced and the measure of information as entropy. The binary correlation allows one to distinguish tails and cores of the interaction potential. The concept of binary correlation is thus behind the intuitive picture of the kinetic equation.

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22

Gianturco, Franco A. Collision Theory for Atoms and Molecules. Springer, 1989.

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23

Gianturco, Franco A. Collision Theory for Atoms and Molecules. Springer, 2012.

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24

Morawetz, Klaus. Nonequilibrium Quantum Hydrodynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0015.

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The balance equations resulting from the nonlocal kinetic equation are derived. They show besides the Landau-like quasiparticle contributions explicit two-particle correlated parts which can be interpreted as molecular contributions. It looks like as if two particles form a short-living molecule. All observables like density, momentum and energy are found as a conserving system of balance equations where the correlated parts are in agreement with the forms obtained when calculating the reduced density matrix with the extended quasiparticle functional. Therefore the nonlocal kinetic equation for the quasiparticle distribution forms a consistent theory. The entropy is shown to consist also of a quasiparticle part and a correlated part. The explicit entropy gain is proved to complete the H-theorem even for nonlocal collision events. The limit of Landau theory is explored when neglecting the delay time. The rearrangement energy is found to mediate between the spectral quasiparticle energy and the Landau variational quasiparticle energy.

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25

Bernstein, Richard Barry. Atom - Molecule Collision Theory: A Guide For The Experimentalist. Springer, 2013.

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26

Darrigol, Olivier. Constructing Thermal Equilibrium (1866–1871). Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198816171.003.0003.

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This chapter is the first subset of a set of critical summaries Boltzmann’s writings on kinetic-molecular theory. It covers a first period in which he tried to construct the laws of thermal equilibrium, including the existence of the entropy function and the Maxwell–Boltzmann law, by various means including the principle of least action, Maxwell’s collision formula, the ergodic hypothesis, and a procedure of adiabatic variation. This is an immensely fertile period in which Boltzmann introduced several of the basic concepts, problems, and difficulties of modern statistical mechanics.

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27

Crothers, Derrick S. F. Relativistic Heavy-Particle Collision Theory (Physics of Atoms and Molecules). Springer, 2000.

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28

Roman, Krems, Friedrich Bretislav, and Stwalley William C. 1942-, eds. Cold molecules: Theory, experiment, applications. Boca Raton: Taylor & Francis, 2009.

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29

Rmatrix Theory Of Atomic Collisions Application To Atomic Molecular And Optical Processes. Springer, 2011.

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30

Succi, Sauro. Transport Phenomena. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0004.

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The previous Chapter presented a discussion of the notion of local and global equilibria and shown that these equilibria represent the special forms taken by the distribution function once direct and inverse collisions come into balance. This Chapter provides an elementary introduction to transport phenomena and discusses their intimate relation to non-equilibrium processes at the microscopic scale. In particular it shall deal with the connection between the transport coefficients, such as mass, momentum and energy diffusivity with the molecular mean free path, namely the distance traveled by a representative molecules between two subsequent collisions. The discussion also highlights the fundamental role of inhomogeneity in fueling non-equilibrium processes.

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31

Khare, S. P. Introduction to the Theory of Collisions of Electrons with Atoms and Molecules (Physics of Atoms and Molecules). Springer, 2002.

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32

Chance, Kelly, and Randall V. Martin. Line Shapes. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199662104.003.0006.

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Line shapes describe how absorption and emission are spectrally distributed around the line positions formed by rotational, vibrational, and electronic transitions. Line shapes arise from the different processes that spectrally broaden the absorption and emission of radiation. Optical thickness and equivalent width are shown to be fundamentally related to line shape. The fundamental line shape functions for atmospheres including the Gaussian line shape due to molecular motion and the Lorentzian line shape from lifetime broadening, including collision (pressure) broadening are described. Their convolution, the Voigt line shape, which is important in some atmospheric conditions is also described. The standard HITRAN database of spectroscopic parameters of molecules for use in calculation of radiative transfer in planetary atmospheres, from radiofrequencies to the near ultraviolet, is introduced.

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33

United States. National Aeronautics and Space Administration., ed. Applications of quantum theory of atomic and molecular scattering to problems in hypersonic flow: Final report. Carbondale, Ill: Southern Illinois University at Carbondale, 1995.

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34

Balashov, Vsevolod V., Alexei N. Grum-Grzhimailo, and Nikolai M. Kabachnik. Polarization and Correlation Phenomena in Atomic Collisions: A Practical Theory Course (Physics of Atoms and Molecules). Springer, 2000.

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35

K, Rahman N., Guidotti C, and Allegrini M. 1946-, eds. Photons and continuum states of atoms and molecules: Proceedings of a workshop, Cortona, Italy, June 16-20, 1986. Berlin: Springer-Verlag, 1987.

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36

(Editor), J. Ullrich, and V. P. Shevelko (Editor), eds. Many-Particle Quantum Dynamics in Atomic and Molecular Fragmentation (Springer Series on Atomic, Optical, and Plasma Physics). Springer, 2003.

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37

Rahman, N. K., and C. Guidotti. Photons and Continuum States of Atoms and Molecules: Proceedings of a Workshop Cortona, Italy, June 16-20, 1986 (Springer Proceedings in Physics). Springer-Verlag, 1987.

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38

Q, Ma, and United States. National Aeronautics and Space Administration., eds. Calculation of far wings of allowed spectra: The water continuum. [Washington, DC: National Aeronautics and Space Administration, 1995.

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39

Calculation of far wings of allowed spectra: The water continuum. [Washington, DC: National Aeronautics and Space Administration, 1995.

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40

Chance, Kelly, and Randall V. Martin. Blackbody Radiation, Boltzmann Statistics, Temperature, and Thermodynamic Equilibrium. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199662104.003.0003.

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Blackbody radiation, temperature, and thermodynamic equilibrium give a tightly coupled description of systems (atmospheres, volumes, surfaces) that obey Boltzmann statistics. They provide descriptions of systems when Boltzmann statistics apply, either approximately or nearly exactly. These apply most of the time in the Earth’s stratosphere and troposphere, and in other planetary atmospheres as long as the density is sufficient that collisions among atmospheric molecules, rather than photochemical and photophysical properties, determine the energy populations of the ensemble of molecules. Thermodynamic equilibrium and the approximation of local thermodynamic equilibrium are introduced. Boltzmann statistics, blackbody radiation, and Planck’s law are described. The chapter introduces the Rayleigh-Jeans limit, description of noise sources as temperatures, Kirchoff’s law, the Stefan-Boltzmann constant, and Wien’s law.

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41

Darrigol, Olivier. Consolidation (1887–1895). Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198816171.003.0007.

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This chapter covers a period in which Boltzmann returned to the collision-based approach and consolidated it in answer to criticism and suggestions by William Thomson, Hendrik Lorentz, George Bryan, Gustav Kirchhoff, and Max Planck. He corrected errors in alleged counterexamples of equipartition by William Burnside and William Thomson; and in 1887, when the Dutch theorist Hendrik Lorentz detected an error in his earlier derivation of the H theorem for polyatomic gases, he devised a highly ingenious alternative. In 1894, he offered a new, simplified derivation of the Maxwell–Boltzmann distribution based on an idea by the British mathematician George Bryan. Together with Bryan, he also provided a kinetic-molecular model for the equalization of the temperatures of two contiguous gases. He denounced what he believed to be an error in Gustav Kirchhoff’s derivation of Maxwell’s distribution, and he strengthened Max Planck’s alternative derivation based on time reversal.

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42

Succi, Sauro. Stochastic Particle Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0009.

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Dense fluids and liquids molecules are in constant interaction; hence, they do not fit into the Boltzmann’s picture of a clearcut separation between free-streaming and collisional interactions. Since the interactions are soft and do not involve large scattering angles, an effective way of describing dense fluids is to formulate stochastic models of particle motion, as pioneered by Einstein’s theory of Brownian motion and later extended by Paul Langevin. Besides its practical value for the study of the kinetic theory of dense fluids, Brownian motion bears a central place in the historical development of kinetic theory. Among others, it provided conclusive evidence in favor of the atomistic theory of matter. This chapter introduces the basic notions of stochastic dynamics and its connection with other important kinetic equations, primarily the Fokker–Planck equation, which bear a complementary role to the Boltzmann equation in the kinetic theory of dense fluids.

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43

Joachain, C. J., N. J. Kylstra, and R. M. Potvliege. Atoms in Intense Laser Fields. Cambridge University Press, 2014.

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44

N, Bloembergen, Rahman N. K, Rizzo A, and Società italiana di fisica, eds. Atoms, molecules and quantum dots in laser fields: Fundamental processes : Pisa, 12-16 June 2000. Bologna: Italian Physical Society, 2001.

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45

Antonio, Rizzo, Rahman Naseem, and Bloembergen Nicolas, eds. Atoms, molecules and quantum dots in laser fields: Fundamental processes : Pisa, 12- 16 June 2000. Bologna: Italian physical society, 2001.

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46

Henriksen, Niels Engholm, and Flemming Yssing Hansen. Microscopic Interpretation of Arrhenius Parameters. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805014.003.0008.

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This chapter reviews the microscopic interpretation of the pre-exponential factor and the activation energy in rate constant expressions of the Arrhenius form. The pre-exponential factor of apparent unimolecular reactions is, roughly, expected to be of the order of a vibrational frequency, whereas the pre-exponential factor of bimolecular reactions, roughly, is related to the number of collisions per unit time and per unit volume. The activation energy of an elementary reaction can be interpreted as the average energy of the molecules that react minus the average energy of the reactants. Specializing to conventional transition-state theory, the activation energy is related to the classical barrier height of the potential energy surface plus the difference in zero-point energies and average internal energies between the activated complex and the reactants. When quantum tunnelling is included in transition-state theory, the activation energy is reduced, compared to the interpretation given in conventional transition-state theory.

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