# Nuclear Magnetic Resonance

## Homework Statement

Nuclear magnetic resonance in water is due to the protons of hydrogen. Find the field necessary to produce NMR (nuclear magnetic resonance) at 60 MHz.

## Homework Equations

These are the equations I think I'm supposed to use:

omega (subscript zero) = gamma * B (subscript zero) (omega is frequency, B is magnetic field)

B sub 0 = (omega sub zero) / (ge/2m)

## The Attempt at a Solution

I know that gamma = ge/2m, and g is the gyromagnetic ratio, but do I use g for electrons (g = 2???) and e as the electron charge? The problem states that the nuclear magnetic resonance in water is due to protons, so do I use the g for water? e can only be one thing, right (1.6 * 10^-19) and for m, do I use the mass of an electron or a proton??? The equations are not complicated for this problem, but I'm confused about what constants to use (protons or electrons???). Please help!

Thanks!

## Answers and Replies

ok, so I should use the g-factor for a proton that you gave. And I should use e = 1.6*10^-19, and I should use m = 9.11 X 10^-31 kg? Using that the magnetic field is equal to the frequency divided by ge/2m, I should be able to solve for the field that would produce nuclear magnetic resonance at MHz???

malawi_glenn
Science Advisor
Homework Helper
no should use the mass of the proton.

Use Si units all the way, then you should get the answer in Hz

malawi_glenn
Science Advisor
Homework Helper
ok, so I should use the g-factor for a proton that you gave. And I should use e = 1.6*10^-19, and I should use m = 9.11 X 10^-31 kg? Using that the magnetic field is equal to the frequency divided by ge/2m, I should be able to solve for the field that would produce nuclear magnetic resonance at MHz???

you got the correct value?