2. Consider an AX spin system with one nucleus, and one nucleus I=1/2 nucleus, |

Question

2. Consider an AX spin system with one nucleus, and one nucleus I=1/2 nucleus, |I,mI >= |1/2, -1/2> and one I=1 nucleus |I, mI> = |1,1>, |1,0>, |1,-1> and with a positive scalar coupling constant J.

a. What are the six possible spin states for the system using this notation: | mI (1), mI (2)>

b. Determine the energies of the six spin states (part a) using the Hamiltonian operator.

c. Draw an energy level diagram for the system and show the allowed transitions for each nucleus. (Assume that the spin

Explanation / Answer

a) found only 4:
aAaX          aAbX      bAaX      bAbX
b)

E4 = 1/ 2 1.054571628(53)

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