Estimate the spin-lattice relaxation time constant based on the following plot of Mz(t).

 

The data appears to have the functional form:

Mz = Mo ( 1 - 2e-t/T1 )

If we set Mz = 0, and solve for T1 when we have:

0 = Mo ( 1 - 2e-t/T1 )

1=2e-t/T1

ln(1/2) = -t/T1

T1 = -t/ln(1/2)

Setting t = 2 seconds, we obtain T1 = 2.9 seconds.