Dipolar Interaction - Polar Coordinate
Rewrite the hamiltonian of the dipolar interaction in polar coordinate. Expand the operator to increasing-lowering basis
Solid Echo
- Write out the Solid Echo sequence.
- Show that if add the 3rd spin there will be no refocusing
JB Echo
- Write out the JB echo sequence.
- Show that the magnitude of the dipolar hamiltonian at the end is 1/2 of the magnitization
- Show that if use arbitrary pulse instead of pi/4 pulse, it will give a dipolar state, but not maximum
Lee-Goldberg
Get the hamiltonian of the system by doing averaging transformation
Magic Echo
Show that the following sequence does the same thing as magic echo
Dyson time velocity operation
Show that exp(-i(A+B))t != exp(-iAt)exp(-iBt) unless [A,B]=0.
It is equal to exp(-iAt)T exp(-i integrate[B'(t)]dt) ; B'=exp(iAt)B exp(-iAt), T is Dyson time velocity operator.
WAHUHA Sequence
- Show that H~(1) = 0 => if symmetric sequence H~(odd) = 0
- Show that H~(0)finite pulse != 0, but equal to w1/wD
MREV-8
Show that H~D(0)finite pulse width = 0
BR24, C24
- Show that anti-cyclic H~D(0) = 0
- Show that this is a dipolar decouple pi pulse