Nbspa rigid rotorwith moment of inertia ihas energy

Reference no: EM13584962

1) A rigid rotorwith moment of inertia Ihas energy levels EJ = J(J+ 1)¯h2/(2I) , where J= 0, 1,2, . . .andthere are 2J+ 1 states for each J(mJ = ? , ?J+ 1, . . . J ?1, J). Consider a system of N(distinguishable) such rotors.

(a) Find the partition function for the system and use it to find the internal energy of the system (written as a sum) as a functionof the temperature T.

(b) For high temperatures kT >>¯h2/Ithe sums found for the partition function and the internalenergy in part (a) can be approximated by integrals. In this limit find the internal energy and the heat capacity.

Reference no: EM13584962

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