Final answer:
The Einstein relation relates the diffusion constant (D) and the mobility (u) of charge carriers in a semiconductor.
Step-by-step explanation:
The Einstein relation relates the diffusion constant (D) and the mobility (u) of charge carriers in a semiconductor.
The Einstein relation is given by:
D = u * k * T / q
Where:
- D is the diffusion constant
- u is the mobility of charge carriers
- k is Boltzmann's constant (1.38 * 10^-23 J/K)
- T is the absolute temperature in Kelvin
- q is the elementary charge (1.6 * 10^-19 C)
In this case, the charge carrier mobility (u) is given as 1200 and the number of charge carriers (n) is given as 10^14.
Since the question doesn't specify the temperature, we cannot evaluate the Einstein relation. The relation depends on the absolute temperature, and without that information, we cannot calculate the diffusion constant.