# Richter magnitude scale

## Description

assigns a magnitude number to quantify the energy released by an earthquake. The Richter scale is a base-10 logarithmic scale, which defines magnitude as the logarithm of the ratio of the amplitude of the seismic waves to an arbitrary, minor amplitude. This scale saturates at around M=7, because the high frequency waves recorded locally have wavelengths shorter than the rupture lengths of large earthquakes.

Related formulas## Variables

M_{L} | Richter magnitude scale (dimensionless) |

A | Amplitude maximum (dimensionless) |

A_{0} | Amplitude ( empirical function depended only on the epicentral distance of the station) (dimensionless) |