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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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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Question: Table 1 Caleulated free electron Fermi surfae parameters for metals si ronm temperature (Excrpt for Na. K. Rb, at 5 and Li at 78

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