When the temperature is infinity, electrons lose their quantum mechanical character and Fermi distribution function reduces to
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At T = 0 K, the electrons will have low energy and thus occupy lower energy states.However as the temperature increases, the electrons gain more and more energy due to which they can even rise to the conduction band.
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For any temperature greater than zero, F(E)=1/2.
therefore,the Fermi level Ina metal is that energy level for which the probability of occupation is half. Further, at a very high temperature as T tends to infinity, KT>>EF. The elector's lose their quantum mechanical character and Fermi Dirac distribution function.
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