Equations

Question 1

What is the equation for the low temperature value for M?

Answer 1

If the spins are aligned:
M_sat = ngS + n’g’S’

If the spins are opposed:
M_sat = ngS - n’g’S’

Question 2

What is the equation for the Curie law?

Answer 2

χ = C/T

Question 3

What is the equation for the Curie-Weiss law?

Answer 3

χ = C/(T-θ)

Question 4

What is the equation for C?

Answer 4

0.500S(S+1)

Question 5

What is the equation for the magnetic susceptibility, χ?

Answer 5

M/H

Question 6

What is the equation for C in a ferrimagnet at high temperature?

Answer 6

0.500nS(S+1) + 0.500n’S’(S’+1)

Question 7

What order coupling do T terms have?

Answer 7

T terms show first order coupling. This produces a temperature dependent moment.

Question 8

What order coupling do A and E terms have?

Answer 8

A and E terms show second order coupling which is not temperature dependent.

Question 9

What order coupling do d⁵ high spin compounds show?

Answer 9

No coupling as there is no orbital moment to quench.