The gyromagnetic ratio of hydrogen is a fundamental property that characterizes the interaction between the magnetic moment of a hydrogen nucleus and an external magnetic field. Represented by the symbol γ (gamma), this ratio plays a crucial role in nuclear magnetic resonance (NMR) and magnetic resonance imaging (MRI) techniques. It quantifies the sensitivity of hydrogen nuclei to magnetic fields, enabling scientists and medical professionals to probe the internal structures of molecules and tissues with remarkable precision. Understanding the gyromagnetic ratio is essential for interpreting and harnessing the power of these advanced imaging technologies in various scientific and medical applications.

Gyromagnetic Ratio of Hydrogen Formula

The gyromagnetic ratio (γ) for a particle with charge (q) and mass (m) can be expressed by the following formula:

For a hydrogen nucleus (proton), the charge of the proton is q = e, where e is the elementary charge, and the mass of the proton is denoted by m. Therefore, the gyromagnetic ratio specifically for a hydrogen nucleus is given by:

This formula relates the gyromagnetic ratio to the charge and mass of the particle, providing a fundamental understanding of its magnetic properties in the presence of an external magnetic field.