Constants
View all mathematical and physical constants
Acceleration due to gravity
The acceleration experienced by an object falling freely near the Earth's surface. This is a standard value, and may vary slightly depending on location. Units are meters per second squared (m/s²).
g
Avogadro's number
The number of constituent particles (atoms, molecules, ions, etc.) that are contained in one mole of a substance. It's a fundamental constant in chemistry. Units are per mole (mol⁻¹).
N_A
Planck's constant
A fundamental constant in quantum mechanics that relates the energy of a photon to its frequency. Units are Joule-seconds (J⋅s).
h_P
Speed of light in vacuum
The speed at which light travels in a vacuum. It's a universal constant in physics. Units are meters per second (m/s).
c_{light}
Boltzmann constant
Relates the average kinetic energy of particles in a gas to the absolute temperature. It's a fundamental constant in thermodynamics and statistical mechanics. Units are Joules per Kelvin (J/K).
k_B
Elementary charge
The magnitude of the electric charge carried by a single proton or electron. It's a fundamental constant in physics. Units are Coulombs (C).
q_e
Permittivity of free space
A constant that relates the electric field to electric displacement in a vacuum. It's a fundamental constant in electromagnetism. Units are Farads per meter (F/m).
ε_0
Permeability of free space
A constant that relates the magnetic field to magnetic flux density in a vacuum. It's a fundamental constant in electromagnetism. Units are Henrys per meter (H/m) or Tesla-meters per ampere (T⋅m/A).
μ_0
Gas constant
The ideal gas constant, relating the pressure, volume, temperature, and number of moles of an ideal gas. Units are Joules per mole-Kelvin (J/(mol⋅K)).
R
Atomic mass unit
A standard unit of mass used to express the mass of atoms and molecules. One atomic mass unit is approximately equal to the mass of one proton or neutron. Units are kilograms (kg).
m_{amu}
Rydberg constant
A fundamental constant in atomic physics that relates to the atomic spectra of hydrogen. Units are per meter (m⁻¹).
R_y
Fine-structure constant
A dimensionless physical constant that characterizes the strength of the electromagnetic interaction. It's related to the elementary charge, speed of light, and Planck's constant. It is dimensionless.
α
Bohr radius
The approximate radius of the electron's orbit in the ground state of the hydrogen atom. Units are meters (m).
a_0
Electron mass
The mass of an electron. Units are kilograms (kg).
m_e
Proton mass
The mass of a proton. Units are kilograms (kg).
m_p
Neutron mass
The mass of a neutron. Units are kilograms (kg).
m_n
Magnetic constant
Relates the magnetic field to its sources. Units are Henrys per meter (H/m) or Tesla-meters per ampere (T⋅m/A).
μ
Atmospheric pressure (standard)
The standard atmospheric pressure at sea level. Units are Pascals (Pa).
P_atm
Molar mass of carbon-12
The mass of one mole of carbon-12 atoms. Units are kilograms per mole (kg/mol).
M_C12
Faraday constant
The amount of electric charge carried by one mole of electrons. Units are Coulombs per mole (C/mol).
F_A
Speed of sound in air (at 20°C)
The speed of sound in air at approximately 20°C. This value can vary slightly with temperature and air pressure. Units are meters per second (m/s).
v_s
Golden ratio
An irrational mathematical constant approximately equal to 1.6180339887. It appears in many areas of mathematics, nature, and art. It is dimensionless.
φ