Thermodynamics and Statistical Physics Formulas and Constants, Cheat Sheet of Thermodynamics

Download Thermodynamics and Statistical Physics Formulas and Constants and more Cheat Sheet Thermodynamics in PDF only on Docsity! THERMODYNAMICS AND STATISTICAL PHYSICSFormulas and constantsThermodynamic functions and relationsH = E + pV F = E TS G = E TS + pV@E@S V = T @E@V S = p @H@S p = T @H@p S = V@F@T V = S @F@V T = p @G@T p = S @G@p T = VMaxwell relations @T@V S =  @p@SV @T@p S = @V@S p  @S@V T =  @p@T V @S@pT = @V@T pSpeci c heat cV = 1 dQdT V cp = 1 dQdT pEntropyS = k ln S = kPr Pr lnPr S = k(lnZ + E)Partition functionsZ =Pr e Er Z = Pr e Er Nr lnZ = N Pr ln 1 e r Clausius-Clapeyron equationdpdT =
S
V dpdT = L12T
VFermi energy ( = kT )j = T  @S@Nj E;V;N j =  @E@Nj S;V;N j =  @F@Nj T;V;N j =  @G@Nj T;p;NStefan-Boltzmann law P = aT 4 = a 2k460c2h3T 4Stirlings formula lnN ! = N lnN N + 12 ln(2N) + :::