1. The problem statement, all variables and given/known data Consider a small cluster of four copper atoms. Assume, that each atom can oscillate around its equilibrium position independently of the other atoms. Let us model each direction of vibration as a harmonic oscillator, whose energy is quantized Evib = ¯hω(n +1/2), where ω = sqrt(k/m), k is the ’spring constant’ of the bond between the atoms (k ≈ 120 N/m) and m is the mass of the copper atom. Compute as the function of vibration energy quanta n = 0,1,2,3,... the (a) number of microstates Ω (b) entropy S (c) temperature T (d) heat capacity C / atom 2. Relevant equations 3. The attempt at a solution I have already functions for the number of microstates and the entropy S: Ω(n) = ((n+11)!) : (n!11!) S(n) = k*ln (((n+11)!) : (n!11!) Now I try to find the function T(n) and started with: 1/T = dS/dEint (dS = change in entropy, dEint = change in internal energy) Can I put this equations as T = dEint/dS ?