# Chapter 11 - Modern Physics

Chapter 12 - Atomic Structure and Lifetimes

*Solid State Physics*

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Assignment in Chapter 11 of Krane's textbook:

Question 1; Problems 1, 2, 4 (Due date: Wednesday 1 March 2006)

Problems 3, 5, 7, 9 (Due date: Friday 3 March 2006)

Problems 11, 13 (Due date: Monday 13 March 2006)

Problems 15, 17, 19 (Due date: Monday 20 March 2006)

Questions 5, 13; Problem 22 (Due date: Wednesday 22 March 2006).

### Crystalline solids

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Diamond cell
Diamond separation
Hexagonal close-packed structure
Hexagonal packing fraction
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Madelung constant
Improved precision
##### Assignment in Chapter 11 of Krane's textbook:
Problems 3, 5, 7, 9 (Due date:Friday 3 March 2006).

Problem 11-3
Problem 11-5
Problem 11-7
Problem 11-9

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Ionic potential
Disassembling NaCl
SHO frequency
continued
Invert copper density
### Dipole-dipole forces

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End-on dipole
Positive charge

Negative charge

Side-on dipole

General dipole
Divergence of fields
Gauss formulation
2-D projection of 4-D divergence
### Extending the dimensionality

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Volumes and areas
2-dimensions
3-dimensions
1- and 4-dimensions
N-D Hyperspheres
Hypercubes
Wente torus
##### Assignment in Chapter 11 of Krane's textbook:
Problems 11, 13 (Due date: Monday 13 March 2006).

Dipole energy
Problem 11-11
Problem 11-13

### Multipoles

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Dipole field
Better soln to 11-11
3-5 dimensions
Multipoles by differentiation
Index notation tutorial (pdf)
Differentiating 1/*r*
Summary
### Van der waals fluids (See Curtis, Chapter 12)

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6-12 potential
Pauli "repulsion"
Ideal gas law
van der Waals gas law
vdW power?
Energy density
Spiders and the induced dipole-dipole
interaction

### Index of refraction

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Index of refraction and polarization
Computed from dipole moment
Expansion with light frequency
### Band Theory

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Molecular hydrogen
*[Current Position]*
Hydrogen molecule
Bands with 6 atoms
Na with N atoms
Na bands
C, Si and Ge
Insulators, metals, semiconductors
Fermi distribution
Normalizing the FD distribution
Fermi energy and temperature
Numerical integration
### Model for current flow

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Current flow
Drift and thermal speeds
Fermi speeds
Combined motions
Acceleration between collisions
Viscous drag
Ohm's Law
Mean free path and collision time
Drift speed
Relativistic speed?
Magnetic fields and relativity
Ohm's law and thermal conductivity
*[Current Position]*
The Maxwell-Boltzmann Wiedemann-Franz Law
The Fermi-Dirac Wiedemann-Franz Law
Gravitational analogy
Capacitors and Resistors
##### Assignment in Chapter 11 of Krane's textbook:
Questions 5, 13;
Problem 22 (Due date: Wednesday 22 March 2006).

Questions 11-5, 11-13
Problem 11-22

### Semiconductor devices

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Extrinsic semiconductors
The junction diode
Types of diodes
Zener and tunnel diodes
Barrier
Barrier penetration
Tunnelling
Simultaneous solution
Reflections and transmission
WKB approximation
Examples of tunnelling
Ammonia maser
STM animation