Thermodynamics properties of crystals containing imperfections
Holder, Jon Thomas
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https://hdl.handle.net/2142/25734
Description
Title
Thermodynamics properties of crystals containing imperfections
Author(s)
Holder, Jon Thomas
Issue Date
1968
Doctoral Committee Chair(s)
Granato, A.V.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
thermodynamic properties
cystals containing imperfections
elasticity theory
Language
en
Abstract
Using thermodynamics and elasticity theory, a unified treatment
of changes in the properties of crystals containing the major
types of defects is given. Some previously derived results are recovered
in the present calculations, such as the formula for volume changes of
self-stressed media derived by Zener. However the present results are
of a more general nature and the method is not restricted to static,
isotropic, elastic systems at zero pressure. For defects described by
elastic strains, it is shown that the required pressure and temperature
dependence is given by using the known pressure and temperature dependent
elastic constants in place of the zero pressure elastic constants in the
linear elasticity results.
The general results are specialized to a number of particular
defects by using models to find expressions for the energy required to
form the defect, so that the thermodynamic properties can be calculated.
Also thermal properties are computed by treating phonons as defects on
the same basis as other defects.
A number of measurements of the properties of crystals containing
defects are discussed in relation to the present calculations. For
the case of dislocations, where the calculations are most soundly based~
there are relatively few measurements available. On the other hand, for
the discussion of the large volume of measurements available of the
effects of point defects, there is no generally acceptable model for the
Gibbs free energy. For dislocated crystals, a number of specific predictions
are made, some of which are partially confirmed by the available
data. The extent to which the properties of crystals containing point
defects could be correlated on the basis of one model is explored.
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