The Fermi level of copper is at 7 eV. What is the density of states at this energy level? Give your answer in J−1m−3 . Choose the nearest value.
A) 3.1 x 1047
B) 3.5 x 1040
C) 5.5 x 1047
D) 1.1 x 1047
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Answer:
(a) From the Equation of fermi energy leads to
E=E
F
+kT in (P
−1
−1)=7.00eV +(8.62×10
−5
eV/K)(1000K)In(
0.900
1
−1)=6.81eV.
(b) N(E)=CE
1/2
=(6.81×10
27
m
−3
eV
−3/2
)(6.81eV)
1/2
=1.77×10
28
m
−3
.eV
−1
.
(c) N
∘
(E)=P(E)M(E)=(0.900)(1.77×10
8
m
−3
.ev)
−1
=1.59×10
28
m
−3
.eV
−1
.
Explanation:
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