4 9 0 D O C . 3 1 5 C A L C U L A T I O N S O N G A S E S 315. Calculations on Quantum Theory of Gases [Berlin, after 1 September 1924][1] Gas charakterisiert durch N, VT [2] Wenn für einen Freiheitsgr. S0 N[0?]( V T) , = S S0 + S0 S0 ∂S0ΔN0 ∂N ------- - ∂S0ΔT- ∂T ------- + + = s0 ε T ----ν- N0∂T ∂s0 ΔT S0 κlgW = W z 1)!q! – ( q z 1)! –+ ( --------------------------- q z 1)! –+ ( z 1)!q! – ( --------------------------- = κ( q z)lg( + ( q z) + qlg q – zlg z) – = κ§ qlg 1 z q¹ -+--· © § zlg 1 z¹¹ -+--··q © § – © = q q0 Δ += S S q0) ( ∂q¹ ∂S· © § 0 Δ ∂2S ∂q2¹ --------· © § 0 Δ2 2 ----- - + + = Δ = W konst.e S κ ---- konst.e2κ© 1 ------§ ∂2S ∂q2¹ --------· 0 Δ2 = = Δ2 κ d--------·S2 dq2¹ © § 0 ---------------- –= 1dS κdq -- - lg 1 z q¹ -+--· © § q 1 z q -+-- ------------ z q2¹ ----· -– © § z 1 q z -+-- ------------ 1 z -- - ⋅ – ⋅ + z²lg ¢ q z) + ( 1 lgq – 1 –+ = = lg 1 z· q -+--¹ © § z q z + ----------- – = 1 κdq2 -- - d2S -------- 1 q z + ----------- 1 q -–-- –z q q z) + ( ------------------- = = Δ2 1 1∂2S κ -- - ∂q2 -------- –------------ q§ 1 q z¹ -+--· © q q2 z ---- -+ = = = e2 ε2 =