Fitting Laws for Rotationally Inelastic Collisions

Brunner, Timothy A.; Pritchard, David E.

doi:10.1002/9780470142745.ch9

Cited by 100 publications

(38 citation statements)

References 75 publications

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“…The fit parameters for the EPG model that best reproduce our data are a = 0.06460 (3) The elements of the theoretical relaxation matrix were also calculated using another scaling law, the ECS law. The ECS scaling law is an extension of the Infinite-Order Sudden law (IOS) [44] to the case where molecular collisions are not sudden anymore [44][45][46]. The ECS law extends beyond the case of sudden collisions by the inclusion of an adiabaticity factor that will be discussed below.…”

Section: Computations Of Self-broadening and Weak Line Mixing Coefficmentioning

confidence: 99%

Spectroscopic lineshape study of the self-perturbed oxygen A-band

Predoi‐Cross

Hambrook

Keller

et al. 2008

Journal of Molecular Spectroscopy

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Section: Computations Of Self-broadening and Weak Line Mixing Coefficmentioning

confidence: 99%

Spectroscopic lineshape study of the self-perturbed oxygen A-band

Predoi‐Cross

Hambrook

Keller

et al. 2008

Journal of Molecular Spectroscopy

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“…The collisional transfer rates may also be calculated using energy scaling laws where the off-diagonal matrix elements are characterized for any rotational state using a set of fitting parameters. We have calculated these matrix elements using an Exponential Power Gap (EPG) law [33][34][35][36][37][38] for the rates of relaxation within the rotational states. The EPG law provides the collisional transfer rate, j jk , from the lower rotational level k to a higher rotational level j as:…”

Section: Exponential Power Gap Calculations For Rotational Transfermentioning

confidence: 99%

“…The Energy Corrected Sudden fitting law is an extension of the Infinite-Order Sudden law (IOS) [38] for cases where molecular collisions are not 'sudden' anymore [38,[40][41][42][43][44]. Many instances have shown that this is true for molecular collisions and consequently that the isolated lines are not Lorentzian at their wings (yet this deviation does not affect the width of the spectral line).…”

Section: Energy Corrected Sudden Calculations For Rotational Transfermentioning

confidence: 99%

Line profile study of transitions in the 30012←00001 and 30013←00001 bands of carbon dioxide perturbed by air

Predoi‐Cross

Liu

Holladay

et al. 2007

Journal of Molecular Spectroscopy

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“…Nuclear spin change can generally be ruled out and so Dj ¼ AE2n propensities are commonly seen in homonuclear diatomics, but the ubiquitous and generally reliable Dj ¼ AE1, 0 of spectroscopy is absent. The collision equivalent appears to be a Dj "transfer function" that is an exponential-like fall [34,35] of transition probability as magnitude of Dj increases.…”

Section: An Angular Momentum Model For Collision-induced Transfermentioning

confidence: 99%

From Ligand Field Theory to Molecular Collision Dynamics: A Common Thread of Angular Momentum

McCaffery

2011

Structure and Bonding

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Interest in, and appreciation of, the role played by angular momentum in chemical physics was first aroused by a Carl Ballhausen lecture early in the author's scientific career. Later came deeper understanding of the fundamental nature of angular momentum and the power of its formal algebraic expression. Spectroscopy using light of precisely defined energy and (z-component of) angular momentum represents a unique experimental probe with the potential to reveal the underlying physics of chemical processes. Experiments using circularly polarised emission of gas phase molecules led to new insights in the field of molecular collision dynamics. Further work, and that of others, suggested an alternative formulation of the mechanics of bimolecular collisions. A theoretical model was developed guided throughout by experiment. Its basis is linear-to-angular momentum conversion within the constraint of state-to-state energy conservation. An evolutionary process guided by experiment is described, with illustrations that demonstrate the power of the angular momentum theory of molecular collisions developed by the author and co-workers. Examples include very recent work on multicollision models of gas ensembles of potential value in, e.g., modelling planetary atmospheres.

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Fitting Laws for Rotationally Inelastic Collisions

Cited by 100 publications

References 75 publications

Spectroscopic lineshape study of the self-perturbed oxygen A-band

Spectroscopic lineshape study of the self-perturbed oxygen A-band

Line profile study of transitions in the 30012←00001 and 30013←00001 bands of carbon dioxide perturbed by air

From Ligand Field Theory to Molecular Collision Dynamics: A Common Thread of Angular Momentum

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