PHYS_342_hmwrk6_solid_state

PHYS_342_hmwrk6_solid_state - PHYS342 FallSemester2011...

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1 PHYS 342 Fall Semester 2011 Homework No. 6 Due: November 14, 2011 1. Consider a gas of seven fermions that can occupy energy levels that are separated by energy as shown to the right. (a) Complete the table showing the number of electrons in each energy state when the seven fermions are in their lowest energy configuration. Energy Level Number 9 8 7 6 5 4 3 2 1 0 (b) What is the minimum total energy of this electron gas? (c) The number of Fermions in an energy state E is specified by the Fermi Dirac distribution function FD f . When E= , what is the value of FD f ? (d) For the gas of seven fermions considered above, what must be the value of to reproduce the result found in (c)? (e) What is the approximate value of k B T (in units of ) required to fit the data in table (a) above? One way to answer this question is to make a plot of the Fermi Dirac distribution function using different values of k B T until the data in the table is reasonably well fit. 0
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PHYS_342_hmwrk6_solid_state - PHYS342 FallSemester2011...

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