Why is 0.0258 Used for kT in Intrinsic Carrier Concentration at 300K?

In the second step ,in exponential part in denominator we have 0.0258. Here my confusion start we are having this 0.0258 in place of KT(since k is boltz man constant and T is 300K). Even multplying boltzman constant and temperature would not ge that value 0.0258. Help me. Thanks

Hi Bhuvanesh,

As you can observe the numeration is the band gap energy which is in 1.12eV and an eV is equal to 1.602176565(35)×10−19 J or 1.602176565(35)×10−19 N. m which cancels the remaining units of the boltzmann constant which is in m^2 kg s-2 K-1 or J. K so that it can be a valid exponential value.

Basically, the value 0.0258 is derived from

[(-1.12)x(1.602176565(35)×10−19 J)] / [(2x(300K)x(1.3806488 × 10-23 m2 kg s-2 K-1)]

= [(-1.12)] / [2x(0.0258)]

Hope it helps.

Good Luck.

Best,
Neil