Find the fraction of electrons excited into conduction band in germanium at 100K,300K and 1200K
Answers
Explanation:
hi, mate let me explain to you. here find the fraction of the electron excited into conduction band in Germany um at different temperatures That is Steven is equal to 200 the Caribbean, T two is equal to 300 Calvin and T three is equal to 1200 kelvin. They have to finance the fraction all the electrons excited to the conduction will support. This is FCC This city. This has to be calculated now. Before doing this calculation, we know that the value of the cavity At T is equal to 300 Calvin. Is do you have a point 0259 E v kb T Any temperature. It is difficult to Joe and Jill 259 into T v. 300. And people for this calculation suppose the first case Stephen is equal to 300 Calvin. And the value of the cave et at key all, sorry, This is the first case is 100 calvaries 100 Calvin physical too 0.0259 into 100. Divided by 300. And this will be That is one x 3. Or this The zero and 0- 5 9. Al by three. He is similarly at Mhm. Key to a physical too. 300 Calvin it is quality given that is baby T. 300 Physical to 0.0259 TVs. And for turkeys T. three physical too, 1200 Calvin the value of the cave et at 1200 Calvin Musical to zero by Nigeria 0259 into 1200 anybody. 300 This to this cancel. And it will be four times. So this their bit European 0259 into food. Evie. Now we know they burned the gap of the Germany E. G. Germanium Physical to zero 6 7 e. V. Now calculate deflection for the first case F E C. At Th Article 200 Calvin physical. Do expo national minus E. G. By two K. B. T. And the value. Okay. VT ad Typical 200 Calvin. And if he subsumed the value explain explanation minus G 2.67. And they were going to into this real low 0.0259. And here it is Your .259 x three then it will be up. Then he will get the value 1.41 Into 10 power 17. Similarly, calculate the affection of this he left on that side with the condition that it's F E. C. At 300 Calvin will be the same as this calculation exponents. No, my nurse. 0.67 divided by Europe and 0- 5 9. Because this is also an E. V. Initial. So anyway to cancel and he has a cool factor and this value will be 2.41 In 2. 10 power one in six. And current case direction of the left on, excited to the conduction band At 1200 Calvin illogical to exponential Minor your a .67 divided by to into Europe and 0-5 nine into four. And this fellow will be three points 94 into and cover my last. You can see that as we increase the temperature, the fraction of the locked onto the conduction band is increasing with increasing the temperature here. This is 1.41 in 2020 17. That is only destruction is excited to the conduction mint at 100 Calvin. And as you increase the temperature by 202 100 Calvin. Then it will increase um from 1.41 21 17 to 10,000 -6. And if you increase this temperature to 1200 Calvin then this person is very largest compared to Calvin. Thank you.