Consider a 3D system of N non-interacting electrons (free electron model) in a volume V with Fermi energy EF. Use the expression for the density of states, n(E), for this system and calculate the proportion (fraction of N) of the electrons which occupy states between E=0.64 Eş and EF. Select an answer which matches your result. Select one: O 1. 0.165 O 2. 0.488 O 3. 1. O 4. 0.365 O 5. 82.9 O 6. 48,8 O 7. 0.642 O 8. 0.351 O 9. None of these

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Consider a 3D system of N non-interacting electrons (free electron model) in a volume V with Fermi energy EF. Use the
expression for the density of states, n(E), for this system and calculate the proportion (fraction of N) of the electrons
which occupy states between E=0.64 Eş and EF. Select an answer which matches your result.
Select one:
O 1. 0.165
O 2. 0.488
O 3. 1.
O 4. 0.365
O 5. 82.9
O 6. 48,8
O 7. 0.642
O 8. 0.351
O 9. None of these
Transcribed Image Text:Consider a 3D system of N non-interacting electrons (free electron model) in a volume V with Fermi energy EF. Use the expression for the density of states, n(E), for this system and calculate the proportion (fraction of N) of the electrons which occupy states between E=0.64 Eş and EF. Select an answer which matches your result. Select one: O 1. 0.165 O 2. 0.488 O 3. 1. O 4. 0.365 O 5. 82.9 O 6. 48,8 O 7. 0.642 O 8. 0.351 O 9. None of these
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