Lecture Notes2

The einstein theory g 3 n e c k e h e kt

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Unformatted text preview: ate Ideal B - E Gas λ 1 g 3 / 2 (λ ) + 3 V (1 − λ ) Λ P 1 1 = 3 g 5 / 2 (λ ) − ln (1 − λ ) kT Λ V ρ= n0 = ρΛ 0 λ , 0 ≤ λ < 1 for B - E and 0 ≤ λ < ∞ for F - D (1 − λ ) 3 h2 = ρ 2πmkT 0 n0 T =1− T N 0 3/ 2 = g 3 / 2 (1) = 2.612 3/ 2 for T < T0 ∞ where g n (λ ) = ∑ l =1 λl ln 9 n0 =0 N for T > T0 B-E Condensation n0 ρ n0 = 1 − 0 , for ρ < ρ 0 ; = 0, for ρ > ρ 0 N ρ N P 1 P = 1.342 for ρ > ρ 0 = 3 g 5 / 2 (λ ) for ρ < ρ 0 ; kT Λ kT E 3 kTV E 3 kTV g 5 / 2 (λ ) for T > T0 ; = g 5 / 2 (1) for T < T0 = 3 N 2Λ N 2 Λ3 CV 15 V 9 g 3 / 2 (λ ) for T > T0 g 5 / 2 (λ ) = Nk 4 Λ3 4 g 1 / 2 (λ ) CV 15 V = g 5 / 2 (1) for T < T0 Nk 4 Λ3 Black-Body Radiation nπ 14 k= , n = 1, 2,⋅ ⋅ ⋅ Φ (k ) = × πR 3 L 83 dΦ (k ) w(k )dk = dk dk 1 ∞ Q (V , T ) = ∏ ∑ e − βε k n = ∏ − βε k k n =0 k 1− e E= π 2V (kT ) 15(ηc )3 4 where R = kL π π 2 (kT ) ∂Q P = kT = 3 ∂ V T 15(ηc ) 4 R = σT 4 Ch. 11 Crystals 1. General Treatment for Monatomic Crystal:...
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This document was uploaded on 03/26/2014 for the course PH 641 at NJIT.

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