Intrinsic carrier concentration formula

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In the formula for intrinsic carrier concentration, ni=\sqrt{Nc*Nv}*e^{\frac{-Eg}{2kT}}, Nc, Nv, and Eg are all temperature-dependent values. While Nc and Nv should be recalculated for the specific temperature, Eg is often taken as a constant value at 300K, though it can vary with temperature. Some discussions suggest that neglecting changes in Eg may lead to acceptable accuracy in certain calculations. However, for precise results, it's recommended to consider the temperature dependence of all three parameters. Accurate modeling of intrinsic carrier concentration requires careful attention to these temperature effects.
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In the ni=\sqrt{Nc*Nv}*e^{\frac{-Eg}{2kT}} formula for intrinsic carrier concentration, what values Nc,Nv and Eg take in relation to temperature? Are they each calculated for that temperature or, for example, is Eg always taken for 300K? My guess is they should all be calculated for given temperature but that would mean some solved problems I got my hands on are wrong. In them, Eg is always taken to be 1.196eV.
 
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Yes, Nc ,Nv and Eg are functions of temperature, you should take into account changes in Nc Nv when temperature is not 300k
but I think you can neglect change in Eg, you can consider it too if you want more accurate answer
 
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