Consider a 2-D object consisting of two triangle compartments, as shown in Figure P9.4. Suppose a solution containing a 511 KeV gamma ray emitting radionuclide with concentration f = 0.5….

## Calculate MZ(0−), the steady-state magnetization value just before the RF pulses.

In this problem, we answer the question: What is the tip angle that maximizes MR signal intensity for a pulse sequence with given TR and TE values? Solve this problem for given T_{1}, T_{2}, and T∗ 2 values. Assume that the magnetization is in the steady-state condition, that is, the magnetization is a periodic function of time with a period of T_{R}. Also assume that the transverse magnetization completely dephases before each RF pulse, that is, M_{xy}(0^{−}) = 0.

(a) Calculate M_{Z}(0^{−}), the steady-state magnetization value just before the R_{F} pulses.

(b) Calculate M_{xy}(T_{E}), the signal level in the steady-state condition.

(c) Calculate the optimum tip angle.