Table 1 Caleulated free electron Fermi surfae parameters for metals si ronm temperature (Excrpt for Na....

 

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Table 1 Caleulated free electron Fermi surfae parameters for metals si ronm temperature (Excrpt for Na. K. Rb, at 5 and Li at 78 K) Fermi tenperature T, k in deg K Electron Radtur Fermi Fermi vekoeity. in em Fermi concentration, in em parameter wavevector. Valency Metal in em energy. Li 4.70 x 10 3.25 1.11 x 10 0.92 0,75 0.70 0.64 1.29 x 10 1.07 Na K Rb Cs 4.72 3.23 2. 12 1.85 1.58 7.00 5.45 x 10 3.75 2 46 215 183 8. 12 2.65 1.40 1.15 3.93 4.86 5.20 5.63 267 3.02 0.56 0.81 0.91 8.45 5.85 0.75 Cu 1.36 1.20 1.57 Ag 1.39 5.48 5.51 6.36 Au 5.90 3.01 1.20 1.39 6.39 Be 24.2 1.88 1.93 2.23 14. 14 16.41 Mg Ca Sr 8.60 2.65 3.27 3.56 3.69 1.37 1.58 1.28 1.18 7.13 8.27 4.60 1.11 1.02 0.98 1.57 1.40 4.68 3.95 3.65 9.39 5.43 3.56 3,20 4.58 Ba 1.13 4.24 10. 90 Zn 13. 10 2.31 1.82 Cd 9.28 2.59 1.62 7.46 8.66 Al Ga 18.06 2.07 1.75 2.02 11.63 13.49 15.30 2. 19 1.65 1.91 10.35 12.01 In 11.49 2.41 1.50 1.74 8.60 9.98 Pb 13.20 10. 87 2.30 2.23 1.57 1.62 9.37 1.82 1.88 Sntw) 14.48 10. 00 I1.64 The dimensionleas radius parameter is delned ar,- ra, where ap is the first Bohr radius and ran the radias of a sphere that ntatis e alect Droceure and bulk modulus of an electron gas. (b) Show that the bulk modulus B = -V(ap/aV) of an electron gas at UAISD- up/3 = 10U,/9V. (c) Estimate for potassium, using Table 1, the value of the electron gas contribution to B. %3D Table 1 Caleulated free electron Fermi surfae parameters for metals si ronm temperature (Excrpt for Na. K. Rb, at 5 and Li at 78 K) Fermi tenperature T, k in deg K Electron Radtur Fermi Fermi vekoeity. in em Fermi concentration, in em parameter wavevector. Valency Metal in em energy. Li 4.70 x 10 3.25 1.11 x 10 0.92 0,75 0.70 0.64 1.29 x 10 1.07 Na K Rb Cs 4.72 3.23 2. 12 1.85 1.58 7.00 5.45 x 10 3.75 2 46 215 183 8. 12 2.65 1.40 1.15 3.93 4.86 5.20 5.63 267 3.02 0.56 0.81 0.91 8.45 5.85 0.75 Cu 1.36 1.20 1.57 Ag 1.39 5.48 5.51 6.36 Au 5.90 3.01 1.20 1.39 6.39 Be 24.2 1.88 1.93 2.23 14. 14 16.41 Mg Ca Sr 8.60 2.65 3.27 3.56 3.69 1.37 1.58 1.28 1.18 7.13 8.27 4.60 1.11 1.02 0.98 1.57 1.40 4.68 3.95 3.65 9.39 5.43 3.56 3,20 4.58 Ba 1.13 4.24 10. 90 Zn 13. 10 2.31 1.82 Cd 9.28 2.59 1.62 7.46 8.66 Al Ga 18.06 2.07 1.75 2.02 11.63 13.49 15.30 2. 19 1.65 1.91 10.35 12.01 In 11.49 2.41 1.50 1.74 8.60 9.98 Pb 13.20 10. 87 2.30 2.23 1.57 1.62 9.37 1.82 1.88 Sntw) 14.48 10. 00 I1.64 The dimensionleas radius parameter is delned ar,- ra, where ap is the first Bohr radius and ran the radias of a sphere that ntatis e alect Droceure and bulk modulus of an electron gas. (b) Show that the bulk modulus B = -V(ap/aV) of an electron gas at UAISD- up/3 = 10U,/9V. (c) Estimate for potassium, using Table 1, the value of the electron gas contribution to B. %3D

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