Learn · Introduction to Solid State Physics
Lecture 53 of 87Two Atoms per Primitive Basis, Quantization of Elastic Waves, Phonon Momentum
Debye's Model of specific heat of crystals
Prof. Manoj Harbola and Prof. Satyajit Banerjee · IIT Kanpur
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All the lectures
- Introduction to Drude's theory of electrons in a metal- Part 1
- Introduction to Drude's theory of electrons in a metal- Part 2
- Postulates of Drude's theory
- Calculating electrical conductivity of metal using Drude's theory of electrons in metal Part- 1
- Calculating the electrical conductivity of metal using Drude's Model Part-2
- Introduction to Hall effect in Metals Part-1
- Introduction to Hall effect in metals Part-2
- Introduction to Hall effect in metals Part 3
- Understanding thermal conductivity of a metal using Drude's model Part 1
- Understanding thermal conductivity of a metal using Drude's model Part 2
- Introduction to Sommerfeld's Theory of electrons in a metal Part-1
- Introduction to Sommerfeld's Theory of electrons in a metal Part-2
- Introduction to Sommerfeld's Theory of electrons in a metal Part-3
- Fermi energy and Fermi Sphere Part-1
- Fermi energy and Fermi Sphere Part-2
- Density of states Part-1
- Density of states Part-2
- Summary and Discussions of Sommerfeld's Model
- Electronic Contribution to the Specific heat of a Solid Part-1
- Electronic Contribution to the Specific heat of a Solid Part-2
- Electronic Contribution to the Specific heat of a Solid Part-3
- Electronic Contribution to the Specific heat of a Solid Part-4
- Understanding Thermal conductivity of Metals
- Introduction to Magnetism in Metal Part 1
- Introduction to Magnetism in Metal Part 2
- Introduction to Magnetism in Metal Part 3
- Introduction to crystals and bonding in crystals
- Understanding crystal structure using Bravais Lattice
- Bravais Lattice Types Part -1
- Bravais Lattice Types Part-2
- Introduction to different crystal types Part-1
- Introduction to different crystal types Part-2
- Indexing crystal planes
- Scattering of X rays from crystals Part 1
- Scattering of X rays from crystals Part 2
- Reciprocal lattice vectors Part-1
- Reciprocal lattice vectors Part-2
- Reciprocal lattice vectors and Laue's condition for diffraction of waves in crystals Part 1
- Reciprocal lattice vectors and Laue's condition for diffraction of waves in crystals Part 2
- Reciprocal lattice vectors, Laue's condition and Bragg's law for diffraction of waves by a crystal
- Wave equation in a continuous medium and generalization to a discrete medium
- Derivation of wave equation for motion of atoms in a crystal
- Solution of the wave equation for a crystal and the relation between frequency ω and wavevector k
- Group velocity of waves and speed of sound in a crystal
- Waves in a crystal considering interaction among atoms beyond their nearest neighbours
- Normal modes in a crystal : Phonons and their momenta and energy
- Experimental determination of Phonon dispersion curves
- Lattice with two atom basis: Optical Phonons
- Displacement of the atoms for the acoustic and optical Phonons
- Density of states of phonons
- Calculating the density of states of Phonons: The Einstein's and the Debye's Models
- Average energy of Phonons at Temperature T
- Debye's Model of specific heat of crystals
- Anharmonic effects in crystals: thermal expansion and Umkclapp processes
- Going beyond free electron model: Periodic crystal potential and Bloch's theorem for the wavefunction
- Applying perturbation theory to free electron wavefunctions and nearly free electron model
- Applying perturbation theory to free electron wavefunctions and creation of energy gap at zone boundaries
- Mixing of plane waves to get Bloch Wavefunction - I
- Mixing of plane waves to get Bloch Wavefunction - II
- Equivalence of wave vectors k and k+G and reduced zone scheme
- Applying periodic boundary condition to Bloch wavefunction and counting the number of states
- Band theory of metals, insulators and semiconductors
- Kronig- Penney model
- Bloch wavefunction as a linear combination of atomic orbitals: Tight Binding Model- I
- Tight Binding Model- II
- Semiclassical dynamics of a particle in a band and Bloch oscillations
- Experimental observations of Bloch oscillations
- Concept of hole as a current carrier in semiconductors- I
- Concept of hole as a current carrier in semiconductors- II
- Calculating carrier density in semiconductors - I
- Calculating carrier density in semiconductors - II
- Donor and acceptor energy levels in a semiconductor
- charge carrier density in n-type and p-type semiconductors
- Electrical conductivity and hall coefficient in semiconductors
- Paramagnetism in solids I - Magnetic moment and Lande g factor for atoms
- Paramagnetism in solids II - temperature dependence of paramagnetic susceptibility and Curie's Law
- Hund's rule for calculating the total angular momentum J, orbital angular momentum L and spin angular momentum S for an atom
- Examples of performing paramagnetic susceptibility calculations
- Diamagnetism in Solids
- Understanding quenching of orbital angular momentum in transition metal ions
- Ferromagnetism in solids
- Introduction to Meissner state of superconductors and levitation
- Superconducting materials and Type-I and Type-II superconductors
- London's equation for superconductors
- Application of London's equation, behavior of specific heat and density of states in superconductors
- A qualitative introduction to BCS theory of superconductivity
- Josephson's effect in superconductors and tunneling current across barriers