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Find the following parameter for DC(Diamond Cubic) structure:-

⦁ No. of atoms per unit cell.

⦁ Co-ordination number.

⦁ Nearest atomic distance.

⦁ Atomic radius.

⦁ APF.

Concept: Study of characteristics of unit cell of Diamond, ZnS, NaCl and HCP;

Why X-rays are used to study the crystal structure?

Concept: X-ray Diffraction

With neat diagram of unit cell, explain the structure of NaCl crystal and calculate the no .of ions per unit cell, co ordination no. and lattice constant. Calculate the packing factor of NaCl crystal assuming the radius of _{Na}+is 0.98 A° and radius of Cl is 1.81 A°.

Concept: Study of characteristics of unit cell of Diamond, ZnS, NaCl and HCP;

Define ligancy and critical radius ratio. Calculate critical radius ratio for ligancy 8.

Concept: Study of characteristics of unit cell of Diamond, ZnS, NaCl and HCP;

‘Crystal acts as three dimensional grating for X-rays’, explain.

Concept: X-ray Diffraction

With neat diagram of unit cell , explain the structure of HCP crystal and calculate the no. of ions per unit cell, co ordination no., lattice constant and packing factor of the structure.

Concept: Study of characteristics of unit cell of Diamond, ZnS, NaCl and HCP;

Define ligancy and critical radius ratio. Calculate critical radius radio for ligancy 6.

Concept: Study of characteristics of unit cell of Diamond, ZnS, NaCl and HCP;

Explain with Diagram Hcp Unit Cell Based on Lattice Parameters.

Concept: Study of characteristics of unit cell of Diamond, ZnS, NaCl and HCP;

Derive Bragg's condition for X-ray diffraction. Monochromatic X rays are

incident on a crystal. If the first order rejection is observed at an angle of 3.4•, at

what angle would second order reflection expected.

Concept: X-ray Diffraction

A quartz crystal of thickness 1 mm is vibrating at resonance. Calculate its fundamental frequency. (Assume that for quartz, Y= 7.9x 1010 N/m2 and p = 2.650 gm/cc.

Concept: Study of characteristics of unit cell of Diamond, ZnS, NaCl and HCP;

Define Ligancy. Find the value of critical radius ratio for Ligancy 3.

Concept: Study of characteristics of unit cell of Diamond, ZnS, NaCl and HCP;

Explain Point defects in crystals.

Concept: Introduction to Crystallography

Write schrodinger’s time dependentand time independent wave equations of matter waves in one dimensional and state physical significance of these Equations.

Concept: Schrodinger’S Time Dependent Wave Equation

Describe with the necessary theory the davisson and german establishing wave nature of electrons. Calculate the de-broglie wavelength of an alpha particle accelerating through a potential difference of 200 volts given :- mass of alpha

particle = 6.68×10^{-27}kg.

Concept: De Broglie Wavelength

What do you mean by group and phase velocity? Show that the de-Broglie group velocity associated with the wave packet is equal to the velocity of the particle.

Concept: De Broglie Wavelength

An electron is confined in a box of dimension 1A°. calculate minimum uncertainty in its velocity.

Concept: Applications of Uncertainty Principle

Derive Schrodinger time dependent wave equation for matter waves.

Concept: Schrodinger’S Time Dependent Wave Equation