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Semiconductor physics and devices1. E= Eo Ecos I0) . calculate effective mass at k= 0The energy of free electron E= Ec(1 - in 3-Dimension k3 calculate 'density...

Question

Semiconductor physics and devices1. E= Eo Ecos I0) . calculate effective mass at k= 0The energy of free electron E= Ec(1 - in 3-Dimension k3 calculate 'density of state' at E= 2Ec

Semiconductor physics and devices 1. E= Eo Ecos I0) . calculate effective mass at k= 0 The energy of free electron E= Ec(1 - in 3-Dimension k3 calculate 'density of state' at E= 2Ec



Answers

Calculate the density of states $g(E)$ for the free-electron model of a metal if $E=7.0 \mathrm{eV}$ and $V=1.0 \mathrm{cm}^{3} .$ Express your answer in units of states per electron volk.

So it was questioning where Yuma met, talking off real actress model and that was the energy of their off seven in AC trebles ends afford to no 1.0 centimeter too. And we want to find what is the destiny of states and the district states is g e of this mental. So is this question Zoo isn't really And this intricate with this question is is he using the definition of the density off energy? And is this your energy? You don't know if I didn't, Maybe you should refer to Equation 42.10 in this section. And the n G test of energy is given by two em and is a mass of the electoral. She was a 1.5 times for you Times squared of energy over to Pi Square each far Kimber. So the chapter has a derivation of this equation. But we here we're only using it as a disk given again is 42.10. Is it number for this equation? OK, so here is the only extra condition we need is a massive election which is available. It's a back of the book cover, so we have two times 9.11 times 10 to Zine Negative 31 Killer. It's his whole sing three over two times. Well, you're miss 10 to Z nectar, six meter Cube and then energy is five electoral votes on plants. Uses our units here. Thompson won six. Jaw went six times. Turned his neck, too. Excuse me eyes. 1.6 times 10 to the negative 19 job electricals So we can convert this to job. And this whole city is growth. Rooted is in. Is that an operator? We have to price Kirk times 1.54 times 10 to the negative. 34 jaar per and times second coop. So if we calculate everything we will get the whole service is a 70 deductibles. Seven vegetables is energy. We'll get a poster of around Yeah, one point 33 times 10. She's a 41 Rachel. So this is everything in terms of Joe. And then if we would act to converted to Iraq trebles, we can also much apply it. We use moment six times 10 to the negative nine jar collectibles, and this gives us 2.1 times 10 to the 22 states pre electricals again. Both answers about it. Just different units. Um, so this is a density of energy. Um, it is what to pin one times 10 to the 22 states per electricals.

Here in in any increasing semiconductor the effective massive developed own is mhm feminist art is 0.7 I am not. And the 50 months of the whole that is Mp style in particular to 0.4 I am not were I am not ready last month from the left on. I am not logical to 9.211 in 2 10 power minus 31 Katie next mouse of airports and calculate the intrinsic concentration of the charge carriers. Ad and I have to calculate it at three is equal to 300 Calvin and the band gap all this material is given that it's E. D. Is equal to zero point seven E. V. Here is the charge of the left on and we know that N a square medical too and see and we exponents. No my notes E G by Kcbt and it is a product of these. It is an A. No not for you. From here we can calculate and the physical to and see and we. Mhm expo national Okay minus E. D. By to give it. We're N. C. And we are that you do concerned. They are also the temperature dependence to effective for us. Clear and see is equal to two and two. A minister I K B T. Bye and describe it. She's the blunt question. What he might do. And can we is equal to two two Mp star Bye. K bt about It is good over 32 If you substitute this value A minister that is 0.7 I am not an mp stories for the european four. I'm not then you will get the value of the N. C. Is 4.64 four into temper 23 per metric you And similarly this is 6.3 44 Mhm. Into the power 24 per metric. You and the value of the cavity enter T. Is equal to 300 calvi it 0.259 Here we now substitute all these were lose. Then you will get an identical to support the constant and see N B square root explanation l minus 80 by two K b T. Then he will get and I use a girl too. 1.70 12 into 10. Power 24%. Meet with you here you have to use all the well Lujan de as high in the in the escape be in 1.38 and here at the 16 16 Obama is 30. Go and separate all the values in the sea. And then he will get the sweat. Thank you. Yeah.

And this question we have to fight the electronic concentration at X. one, which is 20 micron for silicon and gallium last night. So first have fracture in it is E. N. The end by the eggs or E. T. And data and buy the eggs. And for chain of -2 e. Which is 146 10 to power in 19 D. Enforce economies 30 Um 10 to the power 15 minutes n. x. one Over zero Minutes 2010 to about -4. We have the n. one is 1.67, some 10 to 14 per cubic centimeter and part B. We can do the same where D. N. for Gilliam of 90s 230 so half an end it is 8.91 some 10 to about 14 per cubic centimeter. These are answers.

The energy level occupied by an electron energy is given by easy call to this is for about a feasible to e f for me energy plus Katie Times Ellen off par probability minus one This is seven Electron world Eyes, the farming energy plus a boatman constant, which is 8.62 times 10 to the power minus five electoral World Times the temperature reaches 1000 Kelvin, this time's Ellen off, probably we have is a 0.9 a minus one here This will give us energy off 6.821 Electron World photo part B The states, then will be the density of states will be See Time's energy one or two. She's a constant which we know is 6.81 times 10 to the power 27 times the energy 56.81 electron world one or two which we just obtained. This won't give us 1.77 times 10 to the power 28 Ah, part meter cube elect for electronic world then for apart see off the problem The identity off the occupied state with energy is given by n Lord E is equal to probability off off with energy E times The density off the state This is 0.900 times. Ah, the identity of state. We obtained 1.77 times gentle power 28. This will give us a 1.59 times dental power 28 firm Major Cube up our electron world.


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