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Explain with a diagram what type of a bond is formed between Magnesium and
Oxygen.
Draw the first Brillouin zone for a 2D square reciprocal lattice
List the symmetry elements for BF3, which is a planar trigonal molecule
What is the Bravais lattice formed by all lattice points which have the Cartesian
coordinates (x,y,z) such that
i) x,y and z are all even numbers
ii) x,y and z are either all even numbers or all odd numbers.
A metallic element has a density of 7.15 g cm−3, a lattice constant of 2.880 Å, and an
atomic weight of 51.9961. Calculate the number of atoms per unit cell of this element and
predict its lattice crystal structure.
A crystal has a cubic unit cell of 4.2 Å. Using a wavelength of 1.54 Å at what angle (2)
would you expect to measure the (111) peak?
In a one dimensional diatomic crystal, the velocity of sound is 1500 m/s and the lattice
constant 4.0Å. The relationship between the mass of the atoms is M/m = 0.8. Calculate
the gap in the frequency at the Brillouin zone boundary.
In a one dimensional diatomic crystal, the velocity of sound is 1500 m/s and the lattice
constant 4.0Å. The relationship between the mass of the atoms is M/m = 0.8. Calculate
the gap in the frequency at the Brillouin zone boundary.
The Debye temperature for silver is 225 K. Calculate the highest possible frequency for
lattice vibrations in silver and its molar heat capacity at 10 K and 500 K.
Derive an expression for the velocity of the transverse wave in the [100] direction in a
cubic crystal.
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