MCP 1 Chapter 2 Statistical Mechanics
Questions about the lecture 'From Molecular to Continuum Physics 1' of the RWTH Aachen Chapter 2 Statistical Mechanics
Questions about the lecture 'From Molecular to Continuum Physics 1' of the RWTH Aachen Chapter 2 Statistical Mechanics
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What is the definition of eps^V for 1D harmonic oscillators?
eps^V = (u+1/2)hV
What is the definition of eps^V for coupled harmonic oscillators (So-called polyatomic molecules)? [3]
1. eps^V = Sum_i^f (u_i+1/2)hV_i with degrees of freedom f
2. f = 3N-6 for nonlinear molecule
3. f = 3N-5 for linear molecule
What is the definition of q^V for 1D harmonic oscillators? [2]
1. q^V = exp(-Theta^V/2T)/ 1-exp(-Theta^V/T)
2. Theta^V=hv/k
What is the definition of q^V for coupled harmonic oscillators (So-called polyatomic molecules)?
q^V = T/Theta^V // If T>>Theta^V
What is the definition of q^E?
q^E ~ g_0 * exp(-\beta*eps_0^E) with g_0 = g^E // If >>T
What are the characteristics of the Sackur-Tetrode equation? [4]
1. For monoatomic gas with indistinguishable independent molecules Q=q^N/N!
2. S = [U(T)-U(0)]/T + nR*(ln q – ln N + 1) with N=n*N_A and k=R/N_A
3. Only mode of motion is translation
4. S(T) = nR*ln(e^5/2*V/nN_A*Delta³)
What is the general definition of mean energy <eps^M>?
<eps^M> = - 1/q^M * (dq^M/d\beta)_V with M:=T R V or E
What is the definition of the translation mean energy <eps^T>?
<eps^T> = 3/2 *kT
What is the definition of the rotational mean energy <eps^R>?
<eps^R> = kT
