Question

9. There is slight excess of nuclei in the ground state about a 13 million protons at 100 MHz. Would you expect in the case of ¹³C NMR same population difference to prevail ?

The question is from structural biology(NMR spectroscopy).

Answer 1

No, as the gyromagnetic ratio of C¹³ is nearly one fourth that of H¹and the population difference between two states alpha and beta C¹³ nuclei will almost of 64 times{1/4}³ = 1/64 than that of H¹nuclei

Different nuclei have characteristic of nuclear moment as the moment is dependent on the gyromagnetic ratio ?, where nuclei has same spin quantum number and same nuclear angular momentum. Nuclear moments has quantized orientations which is defined by the value of the magnetic quantum number, m and the interaction of nuclei with magnetic field is utilized to generate NMR signal.