Partition function 1

Question 1

What is the single particle partition function?

Answer 1

Z = Σe^-βE_i

Question 2

How do we solve a problem in SM?

Answer 2

1. Write down Z
2. Find the relevant functions of state

Question 3

What is the equation for the internal energy?

Answer 3

U = -dln(z)/dβ

Question 4

What is the equation for the entropy?

Answer 4

S = k_B(βU+lnz)

Question 5

What is the equation for Helmholtz free energy?

Answer 5

F = U-TS
F = U-k_BT(βU+lnz)

Question 6

How does the Helmholtz free energy and entropy and pressure relate?

Answer 6

(dF/dT)_V = -S
(dF/dV)_T = -p

Question 7

What is the equation for Enthalpy?

Answer 7

H = U+pV

Question 8

What is the equation for Gibbs free energy?

Answer 8

G = H-TS

Question 9

How does entropy relate to U and F?

Answer 9

S=(U-F)/T

Question 10

What is the Schottky Anomaly?

Answer 10

k_BT/Δ~0.42

Question 11

What is degeneracy?

Answer 11

When two or more states have the same energy

Question 12

What is the equation for spin angular momentum?

Answer 12

S=ℏ sqrt(s(s+1))
Spin is quantised

Question 13

What is the equation for a component of spin angular momentum?

Answer 13

S_Z=ℏm_S