Degree Type

Dissertation

Date of Award

1982

Degree Name

Doctor of Philosophy

Department

Chemistry

Abstract

Kinetic models for irreversible cooperative processes on lattices are developed. Hierarchial rate equations for the probabilities of configurations of empty sites are discussed in detail and the concept of shielding is introduced. Several, exactly soluble, one-dimensional processes are treated including (1) those incorporating a cooperative range of influence of one lattice vector beyond a fixed number of blocking sites, (2) filling in stages for highly repulsive interactions, (3) correlation functions, (4) configurational entropy of ring lattices, (5) processes with competing events, (6) periodic lattices and (7) limited mobility. Approximate solution techniques for analyzing other one-dimensional processes are also discussed;A special irreversible kinetic process on a two-dimensional square lattice is also treated and a computer program is described which has been developed to generate the appropriate two-dimensional kinetic equations. The resultant equations are treated using various factorization/truncation schemes;A method is given to determine rate constants for irreversible polymer reactions from experimental measurements of the fraction of converted sites with time. Other aspects of irreversible polymer reactions are also treated;The chemisorption of nitrogen onto the (100) face of tungsten is discussed as an example of how irreversibility influences surface processes;A short discussion of irreversible three-dimensional processesin crystalline solids concludes the work;*DOE Report IS-T-1035. This work was performed under ContractW-7405-eng-82 with the Department of Energy.

DOI

https://doi.org/10.31274/rtd-180813-7944

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

David Ray Burgess

Language

en

Proquest ID

AAI8307736

File Format

application/pdf

File Size

188 pages

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