Spin-Lattice and Spin-Spin Relaxation Time Question

[Athenian]

Homework Statement

To find the spin-lattice relaxation time ($T_1$), I could use the below equation to get my value.

$$T_1 = \frac{T_{min}}{\ln{(2)}}$$

For the spin-spin relaxation time, however, is there a similar equation I could use as well to find for $T_2$ (i.e. the spin-spin relaxation time)?

Relevant Equations

The below equation may (or may not) come in handy.

$$M_y = M_0 e^{-t/T_2}$$
$$\ln{(I(t))} = \ln{(I_0)} - \frac{t}{T_2}$$

Note that $I(t)$ is the intensity of the echo.

Please refer to the homework statement.

Or, if one would like to put it in other words, how would I go about finding $T_2$ if I know the delay time between 90-degree and 180-degree pulses? Is there an equation that helps solve this succinctly?

 

[docnet]

Or, if one would like to put it in other words, how would I go about finding $T_2$ if I know the delay time between 90-degree and 180-degree pulses? Is there an equation that helps solve this succinctly?

can you define "delay time between 90-degree and 180-degree pulses" for a person who doesn't know nmr? what experiment does that describe? The question boils down to what values can you plug in for $M_{xy}(t)$, $M_{xy}(0)$and $t$.

The $T_2$ is given using the equation

$$M_{xy}(t) = M_{xy}(0) e^{-t/T_2}$$Link: https://en.wikipedia.org/wiki/Relaxation_(NMR)