Measurement of the Magnetic Moment of the Proton in Bohr Magnetons

An experimental determination of the ratio of the precession frequency of the proton, ωₚ=μₚH₀, to the cyclotron frequency, ωₑ=eH₀mc of a free electron in the same magnetic field has been carried out. The result, ωₚωₑ, is the magnitude of the proton magnetic moment, μₚ, in Bohr magnetons, since γₚ=2μₚ.Possible sources of systematic error were carefully investigated and in view of the results of this investigation and the high internal consistency of the data it is felt that the true ratio, uncorrected for diamagnetism, lies within the range ωₑωₚ=657.475±0.008. If the diamagnetic correction to the field at the proton for the hydrogen molecule is applied here the proton moment in Bohr magnetons becomes μₚ=(1.52101±0.00002)×10^-3(e2mc).