In the original paper by G. E. Pake (J. Chem. Phys. 16, 327 (1948)), the distance between the…

In the original paper by G. E. Pake (J. Chem. Phys. 16, 327 (1948)), the distance between the protons in water was estimated by measuring the 1H powder spectrum of gypsum (calcium sulfate dihydrate). The splitting between the strong peaks in the Pake doublet was found to be 10.8 G (1.08 mT), in an old-fashioned swept-field experiment. (i) Show that the Pake splitting corresponds to 45.98 kHz in a modern NMR protocol. (ii) Use this number to estimate the distance between the two protons in a water molecule.