
Rest mass of an electron, a fundamental physical constant.The electron mass is the rest mass of the electron, a fundamental constant of nature. It is approximately 9.109 × 10⁻³¹ kilograms, or about 0.511 MeV/c² in particle physics units. This value is crucial because the electron is the lightest charged lepton, and its mass influences the structure of atoms, the behavior of matter, and the dynamics of many physical processes.
The electron was discovered by J.J. Thomson in 1897, and its mass was first measured by him using deflection in electric and magnetic fields. The modern precise value was established through decades of increasingly refined experiments, with the current best value coming from measurements in the 2010s.
The electron mass is not derived from a more fundamental theory but is measured experimentally. It is determined through a variety of techniques, including Penning traps that measure the cyclotron frequency of a single electron in a magnetic field, and through precision spectroscopy of hydrogen-like atoms, where the electron's mass affects the energy levels. The most accurate measurements combine these methods with quantum electrodynamics calculations.
The electron mass is essential in fields like semiconductor physics, where it determines the behavior of electrons in materials, and in metrology, where it links the kilogram to fundamental constants.
The electron is so light that about 1,836 electrons would be needed to equal the mass of a single proton.
| n_e | variable | electron number density — electron number density per cubic metre |
| B_parallel | variable | magnetic field component along line of sight — magnetic flux density tesla |
| dl | variable | infinitesimal path element along line of sight metre |
| e | constant | elementary charge — elementary charge = 1.602176634e-19 coulomb |
| m_e | constant | electron rest mass — electron mass = 9.1093837015e-31 kilogram |
| c | constant | speed of light in vacuum — speed of light = 299792458 metre per second |
| ∫ | operator | summation over the line of sight — integral operator |
| a_0 | variable | relativistic intensity parameter (normalized vector potential) — relativistic parameter |
| E_0 | variable | peak electric field amplitude of the laser — electric field volt per metre |
| ω | variable | angular frequency of the laser — angular frequency radian per second |
| e | constant | charge of a single proton — elementary charge = 1.602176634e-19 coulomb |
| m_e | constant | mass of an electron at rest — electron mass = 9.1093837015e-31 kilogram |
| c | constant | universal speed limit of light in vacuum — speed of light = 299792458 metre per second |
| RM | variable | Rotation measure — rotation measure radian per metre squared |
| n_e | variable | Electron number density — number density per metre cubed |
| B_parallel | variable | Magnetic field component along line of sight — magnetic field tesla |
| s | variable | Path length along line of sight — length metre |
| L | variable | Total path length through plasma — length metre |
| e | constant | Charge of a single electron — elementary charge = 1.602176634e-19 coulomb |
| m_e | constant | Rest mass of an electron — electron mass = 9.1093837015e-31 kilogram |
| c | constant | Speed of light in vacuum — speed of light = 299792458 metre per second |
| ∫ | operator | Integration along the line of sight — integral operator |
| Δt | variable | Time delay between two frequencies — time second |
| DM | variable | Dispersion measure (column density of free electrons) — dispersion measure parsec per cubic centimetre |
| ν_1 | variable | Higher frequency of the signal — frequency hertz |
| ν_2 | variable | Lower frequency of the signal — frequency hertz |
| e | constant | The fundamental charge carried by a single proton or electron. — elementary charge = 1.602176634e-19 coulomb |
| m_e | constant | The rest mass of an electron. — electron mass = 9.1093837015e-31 kilogram |
| c | constant | The universal speed limit for massless particles and information. — speed of light = 299792458 metre per second |
| E_ν | variable | Energy of electron in Landau level ν — energy joule |
| p_z | variable | Electron momentum along magnetic field — momentum kilogram metre per second |
| ν | variable | Landau quantum number (0,1,2,...) — landau level number |
| B | variable | Magnetic field strength — magnetic flux density tesla |
| c | constant | Universal speed limit for massless particles — speed of light = 299792458 metre per second |
| m_e | constant | Mass of an electron at rest — electron mass = 9.1093837015e-31 kilogram |
| E | variable | Kinetic energy of the charged particle — energy joule |
| x | variable | Path length in the material — length metre |
| \rho | variable | Density of the absorbing material — density kilogram per cubic metre |
| z | variable | Charge number of the incident particle — charge number |
| A | variable | Atomic mass number of the absorber — atomic mass number |
| \beta | variable | Speed of the particle relative to the speed of light — velocity ratio |
| \gamma | variable | Lorentz factor of the particle — lorentz factor |
| v | variable | Speed of the particle — velocity metre per second |
| W_{\text{max}} | variable | Maximum energy transfer in a single collision — energy joule |
| I | variable | Mean excitation potential of the absorber — energy joule |
| \delta | variable | Density correction factor — density correction |
| C | variable | Shell correction factor — shell correction |
| Z | variable | Atomic number of the absorber — atomic number |
| N_A | constant | Number of constituent particles per mole — avogadro constant = 6.02214076e23 per mole |
| r_e | constant | Radius of a classical electron — classical electron radius = 2.8179403262e-15 metre |
| m_e | constant | Rest mass of the electron — electron mass = 9.1093837015e-31 kilogram |
| c | constant | Speed of light in vacuum — speed of light = 299792458 metre per second |
| -\frac{d}{dx} | operator | Negative derivative with respect to path length — negative derivative |
| \ln | operator | Natural logarithm — natural logarithm |




