If the temperature of a piece of a metal is increased, does the probability of occupancy 0.1 eV above the Fermi level increase, decrease, or remain the same?
The increase in temperature increases the probability of the occupancy above the Fermi level.
Using the basic concept of the probability of occupied states, we can get the required occupancy probability change of the material. Thus, this helps in determining energy change as per the given condition.
The probability of the condition that a particle will have energy E according to Fermi-Dirac statistics, (i)
Using the occupancy probability equation (i), we can get that for increased temperature, the exponential term decreases. This in turn increases the probability value.
Hence, for the given energy above the Fermi level and for the temperature increase, the occupancy probability increases.
Calculate the number density (number per unit volume) for (a) molecules of oxygen gas at and 1.0 atm pressure and (b) conduction electrons in copper. (c) What is the ratio of the latter to the former? What is the average distance between (d) the oxygen molecules and (e) the conduction electrons, assuming this distance is the edge length of a cube with a volume equal to the available volume per particle (molecule or electron)?
In a simplified model of an undoped semiconductor, the actual distribution of energy states may be replaced by one in which there are states in the valence band, all having the same energy , and states in the conduction band all these states having the same energy . The number of electrons in the conduction band equals the number of holes in the valence band.
A certain computer chip that is about the size of a postage stamp contains about 3.5 million transistors. If the transistors are square, what must be their maximum dimension? (Note: Devices other than transistors are also on the chip, and there must be room for the interconnections among the circuit elements. Transistors smaller than are now commonly and inexpensively fabricated.)
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