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Calculate n(E) for an infinitely deep well of width a, and compare it with the results for free three-dimensional electrons (Figure 4.7(c)). There is a slight difficulty in comparing these two functions, because the step like density of states for the well is a density per unit area, whereas the E 112 function for free electrons is a density per unit volume. We can allow for this by multiplying the three-dimensional density of states by the width a of the well, which turns it into a density of states per unit area that can be directly compared with the two-dimensional result (or, of course, both can be converted to three-dimensional units). Plot on the same axes the density of states for free electrons in 3D and the density of states for a GaAs well 10 nm wide and for a well 20 nm wide. Show that the top of each step just touches the parabola. What happens as the well gets wider?It is desired to put as many electrons as possible in the lowest subband without occupying the second subband. Does it help to use a material with a different effective mass? Would the conclusion be different if a finite well were used?
a grating with 396 linesmm is illuminated with light of wavelength 343 nm. what is the angular separation between the
Physics - Classical Mechanics - Inclined Plane, A packing crate is placed on a plane inclined at an angle of 350 from horizontal. If the coefficient of static friction
To balance a 40 kilogram automobile tire and wheel, a mechanic must place a 55 gram lead weight 24 centimeter from the center of the wheel. Obtain how far from the center of the wheel was its center of mass before the lead weight was added
Suppose you were to wrap the planet Mars in aluminum foil and place a charge Q on it, What is the capacitance of Mars in this case
A 15 kilogram block rest on a level frictionless surface and it is attached by a light string to a 5.0 kilogram hanging mass, determine the tension on the connecting string
A 4.29 g bullet moving at 686.5 m/s penetrates a tree trunk to a depth of 4.49 cm. Assuming that the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment the bullet stops moving. a..
An object is initially placed on the optical axis 27.1 cm to the left of a convex lens that has a focal length of 14.7 cm. The image is real and inverted. what is the new image distance
question the force but not the power required to tow a boat at constant velocity is proportional to the speed. if a
The carbon isotope 14-C is used for carbon dating of archeological artifacts. What is the recoil speed of the nucleus
determine the distance between the centers of the two plates.
This ball also travels 99 yd. At what angle was the second ball hit?
a parallel-plate capacitor has 1.82 cm2 plates that are separated by 4.40 mm with air between them. if a 12.0 v battery
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