Physics 927 E.Y.Tsymbal
Section 4: Elastic Properties
Elastic constants Elastic properties of solids are determined by interatomic forces acting on atoms when they are displaced from the equilibrium p
Physics 927
E.Y.Tsymbal
Section 6: Thermal properties
Heat Capacity
There are two contributions to thermal properties of solids: one comes from phonons (or lattice
vibrations) and another from electro
Physics 927
E.Y.Tsymbal
Section 2: X-ray Diffraction and Reciprocal Lattice
Bragg law. Most methods for determining the atomic structure of crystals are based of the idea of
scattering of radiation. X
Physics 927
E.Y.Tsymbal
Section 11: Methods for calculating band structure
The computational solid state physics is a very fast growing area of research. Modern methods for
calculating the electronic
Physics 927
E.Y.Tsymbal
Section 9: Energy bands
The free electron model gives us a good insight into many properties of metals, such as the heat
capacity, thermal conductivity and electrical conductiv
Physics 927
E.Y.Tsymbal
Section 14: Dielectric properties of insulators
The central quantity in the physics of dielectrics is the polarization of the material P. The
polarization P is defined as the d
Physics 927
E.Y.Tsymbal
Section 10
Metals: Electron Dynamics and Fermi Surfaces
Electron dynamics
The next important subject we address is electron dynamics in metals. Our consideration will be
based
Physics 927
E.Y.Tsymbal
Section 12: Semiconductors
Crystal structure and bonding
Semiconductors include a large number of substances of widely different chemical and physical
properties. These materia
Physics 927
E.Y.Tsymbal
Section 15: Magnetic properties of materials
Definition of fundamental quantities
When a material medium is placed in a magnetic field, the medium is magnetized. This
magnetiza
Physics 927 E.Y.Tsymbal
Section 13: Optical properties of solids
Optical methods are very useful for the quantitative determination of the electronic band structure of solids. Experiments on optical r
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98224593
Physics 927
8.2-Density of Levels
(a) In the free electron case the density of levels at Fermi energy can be written in the form (Eq.
(2.64) g(F ) = mkF /~2 2 . Show that the gener
PHYS/ELEC 422/822 Homework #1 (due Thurs., Jan. 21)
1. One important property of all lattices is the so-called packing fraction. It refers to
the fraction of the volume of the unit cell that is occupi
PHYS/ELEC 422/822 Homework #2 (due Thurs., Jan. 28, in class)
1. 1. Draw the following planes in an orthorhombic unit cell: (001), (011), (112), (201),
(101).
2. (a) How many <110> directions are cont
PHYS/ELEC 422/822 Homework #5 (due Thurs., Feb. 18)
1. Van Hove Singularities.
a) Using the dispersion relation for the monoatomic linear lattice of N atoms
with nearest neighbor inter
PHYS/ELEC 422/822 Homework #4 (due Tues., Feb. 16)
1. Prove the following results of the average energy for an oscillator and the
specific heat Cv in the Einstein model:
;
H { [J * ~§Tr (Mr? Ms) ~,‘1r{m,+m5) ~}1r(m‘1~m;:]
~ 6 ‘r e, + e,
i
2134f I M1,m2,WI5 and/(won or oddéMm‘mm
inmw?
(Hawk
0 WznA. «‘MM‘V
\
EL « ‘5 71'”
rz‘ L“ x
misoM. 30:
(cf,
C3 M
12C M r,
S
w: M
it
PHYS/ELEC 422/822 Homework #6 (due Thurs., Mar. 3)
1. A onedimensional continuous solid has Youngs modulus of Y and density of .
a) Derive the specific heat of this 1D continuous solid per mole using
PHYS422/822 Homework #1 (due Thurs., Jan. 21)
K m Pym)1. One important property of all lattices is the so—called “packing fraction”. It refers to
the fraction of the volume of the unit cell that is oc
Physics 927
E.Y.Tsymbal
Section 8: Electronic Transport
Drude model
The simplest treatment of the electrical conductivity was given by Drude. There are four major
assumptions within the Drude model.
1
Physics 927 E.Y.Tsymbal
Section 5: Lattice Vibrations
So far we have been discussing equilibrium properties of crystal lattices. When the lattice is at equilibrium each atom is positioned exactly at i
Physics 927 E.Y.Tsymbal
Section 1: Crystal Structure
A solid is said to be a crystal if atoms are arranged in such a way that their positions are exactly periodic. This concept is illustrated in Fig.1
Physics 927 E.Y.Tsymbal
Section 2: X-ray Diffraction and Reciprocal Lattice
Bragg law. Most methods for determining the atomic structure of crystals are based of the idea of scattering of radiation. X
Physics 927 E.Y.Tsymbal
Section 3: Crystal Binding
Interatomic forces Solids are stable structures, and therefore there exist interactions holding atoms in a crystal together. For example a crystal of
Physics 927 E.Y.Tsymbal
Section 4: Elastic Properties
Elastic constants Elastic properties of solids are determined by interatomic forces acting on atoms when they are displaced from the equilibrium p
Physics 927 E.Y.Tsymbal
Section 5: Lattice Vibrations
So far we have been discussing equilibrium properties of crystal lattices. When the lattice is at equilibrium each atom is positioned exactly at i
Physics 927 E.Y.Tsymbal
Section 6: Thermal properties
Heat Capacity There are two contributions to thermal properties of solids: one comes from phonons (or lattice vibrations) and another from electro
Physics 927 E.Y.Tsymbal
Section 7: Free electron model
A free electron model is the simplest way to represent the electronic structure of metals. Although the free electron model is a great oversimpli
Physics 927 E.Y.Tsymbal
Section 8: Electronic Transport
Drude model The simplest treatment of the electrical conductivity was given by Drude. There are four major assumptions within the Drude model. 1
Physics 927 E.Y.Tsymbal
Section 9: Energy bands
The free electron model gives us a good insight into many properties of metals, such as the heat capacity, thermal conductivity and electrical conductiv
Physics 927 E.Y.Tsymbal
Section 10 Metals: Electron Dynamics and Fermi Surfaces
Electron dynamics The next important subject we address is electron dynamics in metals. Our consideration will be based