WKB approximations in inelastic collision theory

Gert Billing So/rensen

doi:10.1063/1.1679983

Analytical Approach to Semiclassical Inelastic Collision Theory for General Impact Parameters

The Journal of Chemical Physics ◽

10.1063/1.1674273 ◽

1970 ◽

Vol 53 (5) ◽

pp. 1941-1944 ◽

Cited By ~ 13

Author(s):

R. E. Roberts

Keyword(s):

Analytical Approach ◽

Inelastic Collision ◽

Collision Theory ◽

Impact Parameters

Download Full-text

Approximation Solution for the Zener Impact Theory

Mathematics ◽

10.3390/math9182222 ◽

2021 ◽

Vol 9 (18) ◽

pp. 2222

Author(s):

Ping-Kun Tsai ◽

Cheng-Han Li ◽

Chia-Chun Lai ◽

Ko-Jung Huang ◽

Ching-Wei Cheng

Keyword(s):

Approximate Solution ◽

Inelastic Collision ◽

Nonlinear Differential Equations ◽

Equations Of Motion ◽

Elastic Collision ◽

Theory Model ◽

Collision Theory ◽

Approximation Solution ◽

Model Equations ◽

Collision Force

Collisions can be classified as completely elastic or inelastic. Collision mechanics theory has gradually developed from elastic to inelastic collision theories. Based on the Hertz elastic collision contact theory and Zener inelastic collision theory model, we derive and explain the Hertz and Zener collision theory model equations in detail in this study and establish the Zener inelastic collision theory, which is a simple and fast calculation of the approximate solution to the nonlinear differential equations of motion. We propose an approximate formula to obtain the Zener nonlinear differential equation of motion in a simple manner. The approximate solution determines the relevant values of the collision force, material displacement, velocity, and contact time.

Download Full-text

Auger Effect Revisited: An Essay by Inelastic Collision Theory

Natural Science ◽

10.4236/ns.2018.102005 ◽

2018 ◽

Vol 10 (02) ◽

pp. 59-62

Author(s):

Alexandre M. Dias

Keyword(s):

Inelastic Collision ◽

Collision Theory ◽

Auger Effect

Download Full-text

PLATELET AGGREGATION DOES NOT CONFORM TO SIMPLE PARTICLE COLLISION THEORY

10.1055/s-0038-1644550 ◽

1987 ◽

Author(s):

Moideen P Jamaluddin

Keyword(s):

Platelet Aggregation ◽

Rate Equation ◽

Rate Constants ◽

Kinetic Scheme ◽

Order Type ◽

Second Order ◽

Particle Collision ◽

Collision Theory ◽

Rate Law ◽

First Order

Platelet aggregation kinetics, according to the particle collision theory, generally assumed to apply, ought to conform to a second order type of rate law. But published data on the time-course of ADP-induced single platelet recruitment into aggregates were found not to do so and to lead to abnormal second order rate constants much larger than even their theoretical upper bounds. The data were, instead, found to fit a first order type of rate law rather well with rate constants in the range of 0.04 - 0.27 s-1. These results were confirmed in our laboratory employing gelfiltered calf platelets. Thus a mechanism much more complex than hithertofore recognized, is operative. The following kinetic scheme was formulated on the basis of information gleaned from the literature.where P is the nonaggregable, discoid platelet, A the agonist, P* an aggregable platelet form with membranous protrusions, and P** another aggregable platelet form with pseudopods. Taking into account the relative magnitudes of the k*s and assuming aggregation to be driven by hydrophobic interaction between complementary surfaces of P* and P** species, a rate equation was derived for aggregation. The kinetic scheme and the rate equation could account for the apparent first order rate law and other empirical observations in the literature.

Download Full-text