Question

in which the probability of occupation index can tend to zero​

Answer 1

Answer:

At T > 0K, the probability of a state with E > EF filled is zero. Explanation: At T > 0 K, the probability that a state with E > EF is filled is 1⁄2. Hence, fermi energy is the energy at which the probability of occupation is 1⁄2 at any temperature above 0 K.

Answer 2

Occupation Probability:

• According to classical theory, all electrons in metal have the same energy, thus they all condense to the lowest attainable energy at 0K.
• However, when quantum statistics is performed, we see that these electrons inhabit states between O and Ef in energy.
• When E<Ef approaches zero as e(-infinity)= 0 at T= 0K, the exponential term as e(-infinity)= 0 We get f(E) = 1 as a result.
• We get f(E) = 0 when E>Ef.
• At 0K, the value of f(E) = 1 means that all quantum states are occupied and all states with E>Ef are empty.