This course
traditionally starts by discussing the
1st law, definition of intensive and extensive
parameters, different types of systems and definition of state functions as well as expressions of the thermodynamic variables in terms of partial derivatives. Examples are provided
to make sense of the 1st law using
both the ideal gas and single
component solids. Following the 1st law, the 2nd law
is introduced and its relation to
the heat term, *d*Q in the 1st law is explained. Meaning of entropy is discussed along with different
contributions to entropy in materials, namely vibrational entropy and configurational
entropy. Reversibility and irreversibility of processes is explained. The 3rd law is then lectured where
the absolute zero value of entropy
at 0K can be used to compute entropy changes in a process with several steps.
Following the 3rd law, coefficient and Maxwell relations
are lectured and their connection
to experimental measurables is provided. I put emphasis on Maxwell relations as these are the mathematical
tools to connect somewhat abstract parameters to real experimental
observables. Introduction
of the thermodynamic potentials proceed Maxwell’s relations (Helmholtz energy, Gibbs energy) and
their expression via the thermodynamic
variables using Legendre Transform. Unary systems, binary non-reacting
systems (solution thermodynamics) are lectured along with the derivation
of the relations used for constructing
the phase stability diagrams (unary and binary)
of these systems. During this stage,
the effect of mixing between components, important materials processes such as nucleation and growth of a new phase inside a matrix phase, precipitation
and spinodal decomposition are discussed in the light of the free
energy diagrams for various solution
models. The maximum entropy and minimum energy principle are taught
both in the qualitative and mathematical sense accompanied by several examples.
If time avails, thermodynamic cycles are also lectured
with examples such as Carnot cycle and its
applications. Magnetocaloric
and electrocaloric cooling is explained with emphasis placed
on physical properties of materials for such
applications. Students receive about 1 assignment every 2 weeks as well as a term project where
they are expected to compute
a binary phase diagram given the
free energy of mixing between two components or the phase
diagram of a single component system using experimental thermodynamic data available in literature (such as the phase
diagram of water, SiO_{2}
and etc. using experimental heat capacity data
of these systems) and compare their
result to experimentally obtained diagrams. Another topic as a term project is to simulate
the formation of a two phase from
a single phase due to temperature
change for a given set of phenomenological thermodynamic parameters in the Gibbs energy.