{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

SummaryMag08 - 7 Resonance Curve relation between the...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
February 26, 2008 Phys. 315 Schrodinger equation 1. Schrodinger equation. 2. Eigenstates of energy have a simple time dependence. Magnetic Moments in Magnetic fields. 1. Hamiltonian (energy) for magnetic moment in magnetic field. 2. H is adapted from energy in classical physics. 3. H can be diagonalized to find eigenvalues and eigenstates of energy. Precession 1. Magnetic moment precession in a magnetic field; initial conditions; comparison with torques, change of angular momentum in Classical Physics. 2. Examples: magnetic field in z direction and at an angle θ with z axis. 3. Rotating reference frames and fictitious magnetic field B f . 4. Rotating magnetic field B 1 and effective magnetic field B eff in the rotating frame. 5. Resonance: when rotation frequency matches precession frequency. 6. Molecular Beam resonance
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 7. Resonance Curve; relation between the omega’s and the B fields. 8. State populations at room temperature (kT = 1/40 eV). Proton freq = 42 MHz/T NMR 1. NMR set up; “rotating” B 1 field, spin flip; induced signal 2. Chemical shifts; molecular signatures. 3. Images: field gradients give different resonant frequencies. 4. Longitudinal and transverse relaxation times: T 1 and T 2 , T * 2 . 5. RF Pulses: 90 o , 180 o , spin echo; effect of field inhomogeneity. Adding Spin ½ Angular Momentum 1. Direct Product States + +, + − , − +, − − 2. Eigenstates of total S 2 and S z 3. Singlet and Triplet states 4. Hydrogen hyperfine structure; 21 cm (1420 MHz) radiation 5. Helium ground state; Antisymmetric (Singlet) state 6. Spin zero particle decays into a pair of spin ½ particles in singlet state....
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online