2. For the wave vector value getting close to zero, explain the following by referring to the lattice vibration of the linear monatomic chain: (a) Relative motions of atoms (b) Relationship between phase velocity and group velocity.

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Q: The fundamental vibrational wavenumber ( ṽ) for 1H 127I molecule is 23096 cm-1 A. Determine the…

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Q: How can the reciprocal lattice conveniently be used to describe lattice periodic functions?

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Q: 5. a) Sketch a polar diagram of the directional dependence of the probability density of a problem…

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Q: 4) Consider the paramagnetic two- and one-dimensional free electron gas, respectively the 2DEG and…

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Q: 4. Consider the states with = 4 and s = 1/2. (a) For the state with the largest possible j, and…

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Q: For a body-contered-cubic lattice of lattice constant a, (a) what's the distance between nearest…

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Q: e same wavelength. as higher vibrational energy?

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Q: ction parameter rs.

A: In 1DEG, the free electron as,

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Q: 1. Refer to the Table below that lists the first few spherical harmonics YM. Suppose we subject a…

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Q: 8. What is the difference in packing efficiency between the hcp structure and the ccp structure?

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Q: 8. Ga As has lattice constant of 0.565 nm. Estimate the for N = 2₁ 25 the number of Layers. percent…

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Q: 2. Explain why the cohesive energy of an ionic crystal is almost equal to the attractive Coulomb…

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