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Boris V. Vasiliev Supercondustivity Superfluidity

Superconductivity and

Superconductivity and Superfluidity In accordance with Eq.(7.22), which was obtained at the zero-point oscillations consideration, the ratio λ F Λ0 ≃ 2.3 · 10 −2 . In connection with this ratio, the calculated ratio of the zero-point oscillations condensate density to the density of fermions in accordance with Eq.(7.23) should be near to 10 −5 . It can be therefore be seen, that calculated estimations of the condensate parameters are in satisfactory agreement with experimental data of superconductors. Table 7.3 The ratios λ F Λ0 and n 0 n e for type-I superconductors. superconductor λ F , cm Eq(7.27) Λ 0,cm Eq(6.6) ( ) 3 λ F n 0 Λ 0 n e = λF Λ 0 Cd 3.1 · 10 −8 1.18 · 10 −6 2.6 · 10 −2 1.8 · 10 −5 Zn 2.3 · 10 −8 0.92 · 10 −6 2.5 · 10 −2 1.5 · 10 −5 Ga 3.2 · 10 −8 0.81 · 10 −6 3.9 · 10 −2 6.3 · 10 −5 Tl 1.9 · 10 −8 0.55 · 10 −6 3.4 · 10 −2 4.3 · 10 −5 In 1.5 · 10 −8 0.46 · 10 −6 3.2 · 10 −2 3.8 · 10 −5 Sn 1.5 · 10 −8 0.44 · 10 −6 3.4 · 10 −2 4.3 · 10 −5 Hg 1.3 · 10 −8 0.42 · 10 −6 3.1 · 10 −2 2.9 · 10 −5 Pb 1.0 · 10 −8 0.32 · 10 −6 3.1 · 10 −2 2.9 · 10 −5 86 Science Publishing Group

Chapter 7 The Condensate of Zero-Point Oscillations and Type-I Superconductors Table 7.4 The comparison of the superconducting carriers density at T = 0 with the density of thermally activated electrons at T = T c. superconductor n 0 n e(T c) 2n 0/n e(T c) Cd 6.11 · 10 17 1.48 · 10 18 0.83 Zn 1.29 · 10 18 3.28 · 10 18 0.78 Ga 1.85 · 10 18 2.96 · 10 18 1.25 Al 2.09 · 10 18 8.53 · 10 18 0.49 Tl 6.03 · 10 18 1.09 · 10 19 1.10 In 1.03 · 10 19 1.94 · 10 19 1.06 Sn 1.18 · 10 19 2.14 · 10 19 1.10 Hg 1.39 · 10 19 2.86 · 10 19 0.97 Pb 3.17 · 10 19 6.58 · 10 19 0.96 Based on these calculations, it is interesting to compare the density of superconducting carriers n 0 at T = 0, which is described by Eq.(7.26), with the density of normal carriers n e (T c ), which are evaporated on levels above E F at T = T c and are described by Eq.(7.21). Science Publishing Group 87

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