When do you use the Boltzmann Distribution in NMR?
You use the Boltzmann distribution to calculate the relative number of nuclei in each spin state.
The magnetic moments of the nuclei in a magnetic field can align either parallel to the field (lower energy) or antiparallel (higher energy).
The energy separation
The Boltzmann distribution describes the number of nuclei in each spin state.
At room temperature, the number of spins in the lower energy level,
In a 60 MHz machine at 298 K,
In other words, the lower energy spin state has a population excess of about
9 in 2 million molecules.
Using a higher frequency (increasing