Doctoral Dissertations


"Previous theories have had limited success in explaining the presence of a peak in the behavior of the rate of advance of a step on an ice crystal surface with respect to temperature. In the present work we examine the temperature dependence of the advance of steps on the basal face of an ice crystal from several points of view. An alternate derivation is presented for the random motion of adsorbents on a cubic lattice with absorbing points, and this theory is applied for the advance of a step on an ice surface. The velocity of step advance according to this model has a peak at a temperature close to the observed peak. A similar behavior is not found in previous theories. Growth by the random motion of adsorbents is extended to a hexagonal lattice. A two step model is proposed and we treat the model by using an unconventional coordinate system. A closed form solution is presented. The interaction among adsorbent molecules is treated in a further extension of the stochastic model by including the formation of aggregates among adsorbent molecules on the surface. The Smoluchowski theory of coagulation of colloids is modified and applied to determine the density of clusters which contribute to the growth of a step by the incorporation of monomers and monomeric aggregates"--Abstract, leaf ii.


Podzimek, Josef, 1923-2007

Committee Member(s)

Kassner, James L.
Carstens, John C., 1937-
Plummer, O. R.
Rivers, Jack L.
Penico, Anthony J., 1923-2011



Degree Name

Ph. D. in Physics


United States. Office of Naval Research


Financial support by the Atmospheric Sciences Section, Office of Naval Research, under THEMIS Grant N00014-68-A-0497


University of Missouri--Rolla

Publication Date



v, 57 pages

Note about bibliography

Includes bibliographical references (pages 51-54).


© 1973 Andreas Kasimir Goroch, All rights reserved.

Document Type

Dissertation - Restricted Access

File Type




Library of Congress Subject Headings

Ice crystals -- Growth
Stochastic processes

Thesis Number

T 2785

Print OCLC #


Electronic OCLC #


Link to Catalog Record

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