For a gas trapped in a two-dimensional harmonic oscillator, E = hf (nx+ny), sketch the positions of states in the n-plane and draw a couple of curves of constant energy. Calculate U/N at T = 0 and express it as a multiple of the Fermi energy. What is the density of states?

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Q: Q3/ An experiment was conducted to find the relationship between the specific heat of potassium…

A: Given data, Specific heat of potassium is :- CV=2.08T+2.57T3 mJmol.K            .........1

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Q: Q4/a/ Using the Fermi-Dirac probability function, explain the relationship of temperature with the…

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Q: Calculate the highest linear density (atoms/m) encountered in Vanadium (V)?

A: highest linear density

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A: Given that, For a diatomic hydrogen gas the atoms are connected by a spring And spring constant is k…

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Q: A sample of copper has a mass of 10.68 g when measured in air. It has a mass of 9.47 g when measured…

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Q: Draw the Maxwell-Boltzmann, and Fermi-Dirac distributions for a temperature of 10K, 50K and 300K.…

A: Determine, Maxwell-Boltzmann and Fermi-Dirac distributions for different temperatures.

Q: Consider a copper wire that is carrying, say, a few amperes of current. Is the drift speed vd of the…

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Q: Consider a 2D gas of free electrons confined to a square with area A = L² a) Determine the state…

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Q: Calculate the drift current density in a gallium arsenide sample at T = 300K, with doping…

A: We use the formulae: p=n2i/n J=eE(nμn+pμp)

Q: Prove that at 0 K, the Fermi-Dirac distribution function is 1 for all energies below the Fermi…

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Q: Now consider the electronic structure of this material. Suppose that the large atom 1 contributes…

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Q: Calculate fermi wave vector (KF) for a metal whole electron concentration a7 x 1021 is per cubic…

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Q: What is the hole diffusion constant (cm2/s) in a piece of silicon doped with 3x1015cm-3 of donors…

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Q: What are the conditions of 1D, 2D, 3D Fermi Gas? (T, V, N or any other parameter)

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Q: 11. The ground state energy of a free Fermi gas comprising N particles in a box of volume V in terms…

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Q: Lattice gas has N0 mesh points. If the gas mesh point is filled by an atom, the energy of the mesh…

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Q: Estimate the mean free path of a nitrogen molecule in a cylinder nitrogen at 2 atm and a temperature…

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Ising model of Ferromagnets

The Ising model is one of the easiest and most famous theoretical models for ferromagnetism in statistical mechanics. When a group of atomic spins aligns such that their magnetic moments are pointed in the same direction and produce a strong permanent magnetic moment in macroscopic size, the phenomenon is called ferromagnetism. The relative permeability of these magnets is greater than unity and increasing magnetization with the applied external field. Even in the absence of an external magnetic field, these substances retain spontaneous magnetization. An example of ferromagnets is iron.