Enter any two values into the calculator to determine the missing variable for the gyromagnetic ratio, magnetic moment, or angular momentum.
Gyromagnetic Ratio Formula
The following formula is used to calculate the gyromagnetic ratio for a given magnetic moment and angular momentum.
γ = μ / J
Variables:
- γ is the gyromagnetic ratio
- μ is the magnetic moment
- J is the angular momentum
To calculate the gyromagnetic ratio, divide the magnetic moment by the angular momentum.
What is the Gyromagnetic Ratio?
The gyromagnetic ratio, also known as the magnetogyric ratio, is a physical constant that relates the magnetic moment and the angular momentum of a particle or system. It is an important parameter in nuclear magnetic resonance (NMR), electron spin resonance (ESR), and other areas of physics and chemistry. The gyromagnetic ratio is typically denoted by the Greek letter gamma (γ) and is measured in units of radians per second per tesla (rad/s/T).
How to Calculate Gyromagnetic Ratio?
The following steps outline how to calculate the Gyromagnetic Ratio.
- First, determine the magnetic moment (μ).
- Next, determine the angular momentum (J).
- Finally, calculate the gyromagnetic ratio using the formula γ = μ / J.
- After inserting the values and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Magnetic Moment (μ) = 9.27 x 10-24 J/T
Angular Momentum (J) = 5.27 x 10-34 kg·m²/s