Sodium MRI: Methods and applications

. Author manuscript; available in PMC: 2015 May 1.

Published in final edited form as: Prog Nucl Magn Reson Spectrosc. 2014 Mar 7;79:14–47. doi: 10.1016/j.pnmrs.2014.02.001

Coherence pathway

D_{\pm 1, \pm 2}^{2} (ϕ_{3}, θ_{3}, - ϕ_{3}) D_{\pm 2, 0}^{2} (ϕ_{2}, θ_{2}, - ϕ_{2})

T_2,0 → T_2,2 → T_2,1

\sqrt{\frac{3}{2}} e^{i (ϕ_{3} - 2 ϕ_{2})} {cos}^{3} \frac{θ_{3}}{2} sin \frac{θ_{3}}{2} {sin}^{3} \frac{θ_{2}}{2}

T_2,0 → T_2,2 → T_2,−1

\sqrt{\frac{3}{2}} e^{i (3 ϕ_{3} - 2 ϕ_{2})} cos \frac{θ_{3}}{2} {sin}^{3} \frac{θ_{3}}{2} {sin}^{3} \frac{θ_{2}}{2}

T_2,0 → T_2,−2 → T_2,1

- \sqrt{\frac{3}{2}} e^{i (- 3 ϕ_{3} + 2 ϕ_{2})} cos \frac{θ_{3}}{2} {sin}^{3} \frac{θ_{3}}{2} {sin}^{3} \frac{θ_{2}}{2}

T_2,0 → T_2,−2 → T_2,−1

- \sqrt{\frac{3}{2}} e^{i (- ϕ_{3} + 2 ϕ_{2})} {cos}^{3} \frac{θ_{3}}{2} sin \frac{θ_{3}}{2} {sin}^{3} \frac{θ_{2}}{2}