Table 9.4 Fermi Energies (T = 300 K), Fermi Temperatures, and Fermi Velocities for Selected Metals Element Er (eV) Tr (X 10* K) Up (X 10® m/s) Element Er (eV) Tr (X 104 K) Up (X 10° m/s) Li 4.74 5.51 1.29 Fe 11.1 13.0 1.98 Na 3.24 3.77 1.07 Mn 10.9 12.7 1.96 K 2.12 2.46 0.86 Zn 9.47 11.0 1.83 Rb 1.85 2.15 0.81 Cd 7.17 8.68 1.62 Cs 1.59 1.84 0.75 Hg 7.13 8.29 1.58 Cu 7.00 8.16 1.57 Al 11.7 13.6 2.03 Ag 5.49 6.38 1.39 Ga 10.4 12.1 1.92 Au 5.53 6.42 1.40 In 8.63 10.0 1.74 Be 14.3 16.6 2.25 TI 8.15 9.46 1.69 Mg 7.08 8.23 1.58 Sn 10.2 11.8 1.90 Ca 4.69 5.44 1.28 Ph 9.47 11.0 1.83 Sr 3.93 4.57 1.18 Bi 9.90 11.5 1.87 Ва 3.64 4.23 1.13 Sb 10.9 12.7 1.96 Nb 5.32 6.18 1.37 From N. W. Ashcroft and N. D. Mermin, Solid State Physics, Philadelphia: Saunders College (1976).
Table 9.4 Fermi Energies (T = 300 K), Fermi Temperatures, and Fermi Velocities for Selected Metals Element Er (eV) Tr (X 10* K) Up (X 10® m/s) Element Er (eV) Tr (X 104 K) Up (X 10° m/s) Li 4.74 5.51 1.29 Fe 11.1 13.0 1.98 Na 3.24 3.77 1.07 Mn 10.9 12.7 1.96 K 2.12 2.46 0.86 Zn 9.47 11.0 1.83 Rb 1.85 2.15 0.81 Cd 7.17 8.68 1.62 Cs 1.59 1.84 0.75 Hg 7.13 8.29 1.58 Cu 7.00 8.16 1.57 Al 11.7 13.6 2.03 Ag 5.49 6.38 1.39 Ga 10.4 12.1 1.92 Au 5.53 6.42 1.40 In 8.63 10.0 1.74 Be 14.3 16.6 2.25 TI 8.15 9.46 1.69 Mg 7.08 8.23 1.58 Sn 10.2 11.8 1.90 Ca 4.69 5.44 1.28 Ph 9.47 11.0 1.83 Sr 3.93 4.57 1.18 Bi 9.90 11.5 1.87 Ва 3.64 4.23 1.13 Sb 10.9 12.7 1.96 Nb 5.32 6.18 1.37 From N. W. Ashcroft and N. D. Mermin, Solid State Physics, Philadelphia: Saunders College (1976).
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Starting with the Fermi energy given in Table , estimate the number of conduction electrons per atom for aluminum, which has density 2.70 x 103 kg/m3 at T = 300 K
Transcribed Image Text:Table 9.4 Fermi Energies (T = 300 K), Fermi Temperatures, and Fermi Velocities
for Selected Metals
Element
Er (eV)
Tr (X 10* K)
Up (X 10® m/s)
Element
Er (eV)
Tr (X 104 K)
Up (X 10° m/s)
Li
4.74
5.51
1.29
Fe
11.1
13.0
1.98
Na
3.24
3.77
1.07
Mn
10.9
12.7
1.96
K
2.12
2.46
0.86
Zn
9.47
11.0
1.83
Rb
1.85
2.15
0.81
Cd
7.17
8.68
1.62
Cs
1.59
1.84
0.75
Hg
7.13
8.29
1.58
Cu
7.00
8.16
1.57
Al
11.7
13.6
2.03
Ag
5.49
6.38
1.39
Ga
10.4
12.1
1.92
Au
5.53
6.42
1.40
In
8.63
10.0
1.74
Be
14.3
16.6
2.25
TI
8.15
9.46
1.69
Mg
7.08
8.23
1.58
Sn
10.2
11.8
1.90
Ca
4.69
5.44
1.28
Ph
9.47
11.0
1.83
Sr
3.93
4.57
1.18
Bi
9.90
11.5
1.87
Ва
3.64
4.23
1.13
Sb
10.9
12.7
1.96
Nb
5.32
6.18
1.37
From N. W. Ashcroft and N. D. Mermin, Solid State Physics, Philadelphia: Saunders College (1976).
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