Example: Boltzman distribution
•For example, given a sample of 1H nuclei in an external magnetic field of 1.41 Tesla
•ratio of populations = e((-2.67519x10e8 rad.s-1.T-1 * 1.41T * 6.626176x10-34 J.s) / (1.380662x10e-23 J.K-1 *K 293)) = 0.9999382
•At room temperature, the ratio of the upper to lower energy populations is 0.9999382. In other words, the upper and lower energy spin states are almost equally populated with only a very small excess in the lower energy state.
•If N0= 106 or 1,000,000 then Nj  999,938
•N0- Nj =1,000,000 – 999,938 = 62
•62 ppm excess in the ground state