Part E At absolute zero, all of the free electrons in the metal have energies less than or equal to the Fermi energy, so N(EF) = Ntotal. Using this equality, you can solve for the Fermi energy Ep and find EF 32/34/32 (Notal 2/3 = 2m The term Ntotal/Vis called the free-electron density and is usually denoted π. (Be sure not to confuse this number with the function (E).) The free-electron density for gold is 5.90 x 1028/m³. What is the Fermi energy EFgold of gold? Express your answer in electron volts to three significant figures. ΜΕ ΑΣΦ Ergold w ? eV

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Part E
At absolute zero, all of the free electrons in the metal have energies less than or equal to the Fermi energy, so N(EF) = Ntotal. Using this equality, you can solve for the Fermi energy Ep and find
EF
32/34/32 (Notal 2/3
=
2m
The term Ntotal/Vis called the free-electron density and is usually denoted π. (Be sure not to confuse this number with the function (E).) The free-electron density for gold is 5.90 x 1028/m³. What is the Fermi energy EFgold
of gold?
Express your answer in electron volts to three significant figures.
ΜΕ ΑΣΦ
Ergold
w
?
eV
Transcribed Image Text:Part E At absolute zero, all of the free electrons in the metal have energies less than or equal to the Fermi energy, so N(EF) = Ntotal. Using this equality, you can solve for the Fermi energy Ep and find EF 32/34/32 (Notal 2/3 = 2m The term Ntotal/Vis called the free-electron density and is usually denoted π. (Be sure not to confuse this number with the function (E).) The free-electron density for gold is 5.90 x 1028/m³. What is the Fermi energy EFgold of gold? Express your answer in electron volts to three significant figures. ΜΕ ΑΣΦ Ergold w ? eV
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