Take room temperature as T=300K. With the supplied gyromagnetic ratio, reduced Planck constant and Boltzmann constant,soAt 293K the ratio is 1.05×10−5; the room-temperature convention makes only a small difference. The corresponding fractional nuclear spin polarization has magnitude about five parts per million. The source's negative sign convention assigns the label up to the higher-energy state; it should not be confused with the lower-energy magnetic moment aligned with a positive proton magnetic field.
ΔE=(1.054×10−34)(2.675×108)(1.5)=4.23×10−26J,
kBTΔE=(1.380×10−23)(300)4.23×10−26=1.02×10−5.
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