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Assume with the tight-binding framework, that we need to consider only 1 Wannier orbital from each site. The energy level of this Wannier orbital is e0 (i.e. alpha = -e0). In addition, we retain the nearest-neighbor tight-binding matrix t (i.e. gamma = -t )
(a) Determine the energy dispersion for a bcc strucutre and an fcc structure where a is the length of the cubic cell.
(b) Determine the effective mass near k = 0 for each case
a car m 700.0 kg accelerates uniformly from rest up an inclined road which rises uniformly to a height h 42.0 m.find
a 10.7g object moving to the right at 18.3 cms makes an elastic head-on collision with a 16.2g object moving in the
A flywheel with a radius of 0.310m starts from rest and accelerates with a constant angular acceleration of 0.660rad/s2, Compute the magnitude of the tangential acceleration, the radial acceleration
An object falls off of a pier and into the ocean (sea water) where it displaces a total volume of 3.4 cubic meters of sea water. What is the buoyant force acting on the object in newtons
A planet can have an atmosphere if the escape speed of the planet is 6 times larger than the thermal speed of molecules in the atmosphere. What is the radius of this object's orbit around the sun
Consider the infinite square well of width a. V(x) is infinite out side well and zero inside. Discuss the importance of the quantum effects for both of these systems. Use the uncertainty principle to estimate the velocities of the electron and the me..
A penny of mass 3.1g rests on a small 20g block supported by a spinning disk. The coefficients of friction between the block and disk are 0.75 (static) and 0.64 (kinetic).
A flask is filled with 1.51 L (L = liter) of a liquid at 98.8 °C. When the liquid is cooled to 15.6 °C, What is the coefficient of volume expansion of the liquid
A battery with an emf of 12.6 V and internal resistance of0.83Ω is connected across a load resistor R. If the current inthe circuit is 0.85 A, what is the value of R? What power is dissipated in the internal resistance of the battery?
A bowling ball (mass= 7.2 kg, radius= 0.14m) and a billiard ball (mass= .44 kg, radius= .028m) may each be treated as uniform spheres. find the magnitude of the maximum gravitational force
What is the smallest distance required to stop the plane
Galileo's great-great-great grandchild stands at the top of a vertical tower 53.4 m tall with a Chianti bottle, What is the velocity of the bottle as it hits the ground, if it was just dropped from the tower
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