Scientific Notation

Table 6. Commonly used symbols in scientific writing
Space, time, mass, and related quantities
Molecular and related quantities
Mechanical and related quantities
Thermodynamic and related quantities
Chemical reactions
Light
Electricity and magnetism
Electrochemistry

Space, time, mass, and related quantities

length l
height h
radius r
diameter d
path, length of arc s
plane angle alpha,beta,gamma,theta,phi,psi
solid angle omega
area A,S
volume V...upsilon
specific volume upsilon
wavelength lambda
wavenumber sigma,nu
time t
period or other characteristic interval T,tau
frequency nu,f
angular frequency (2pinu) omega
velocity upsilon ... u,w
angular velocity omega
acceleration a
acceleration of free fall g
mass m
moment of inertia I
density p
relative density d

Molecular and related quantities

molecular mass m
molar mass M
Avogadro's number N0,L,N
number of molecules N
number of moles n
mole fraction x...X,y
molality m
concentration c
molar concentration of substance B   cB,[B], c(B)
molecular concentration C
partition function Q
statistical weight g...p
symmetry number sigma
characteristic temperature theta
diameter of molecule sigma...D
mean free path l
diffusion coefficient D
osmotic pressure Pi
surface concentration Gamma

Mechanical and related quantities

force F
force due to gravity (weight) G...W
moment of force M
power P
pressure p, P
traction sigma
shear stress tau
modulus of elasticity E
shear modulus G
compressibility kappa
compression modulus (1/kappa)  K
viscosity eta
fluidity phi
kinematic viscosity nu
friction coefficient f
surface tension gamma...sigma
angle of contact theta

Thermodynamic and related quantities

temperature theta...t
temperature, absolute T
gas constant R
Boltzmann constant k
heat q,Q
work w,A
energy (Gibbs epsilon) E...U
entropy (Gibbs eta) S
*Helmholtz free energy (Gibbs psi) A
enthalpy (Gibbs chi) H
*Gibbs function (zeta) G...F
heat capacity C
specific heat at constant pressure cp
specific heat at constant volume cv
ratio of specific heats cp/cv, gamma,kappa
chemical potential µ
activity, absolute lambda
activity, relative a
activity coefficient f,gamma
osmotic coefficient g,phi
thermal conductivity gamma
Joule-Thomson coefficient µ

Chemical reactions

stoichiometric number of molecules (negative for reactants, positive for products) nu
standard equation of chemical reaction SigmanuBB = 0
affinity (-SigmanuBµB) of a reaction A
equilibrium constant K
equilibrium quotient or equilibrium product (of molalities) Q
extent of reaction (dnB = vBdzeta)  zeta
degree of reaction (e.g., degree of dissociation) alpha
rate constant k
collision number (collisions per unit volume and unit time) Z
rate constant corresponding to the rate Z z
rate of reaction nu...r,s,J

Light

Planck's constant h
Planck's constant divided by 2pi h
quantity of light Q
radiant power, flux of light (dQ/dt)  phi
luminous intensity (dphi/domega) I
illumination (dphi/dS) E
luminance L,B
luminous emittance H
absorption factor (fraction of incident radiant power which is absorbed) alpha
reflection factor (fraction of incident radiant power which is reflected) rho
transmission factor (fraction of incident radiant power which is transmitted) tau
transmittance (T = I/I0) T
absorption (extinction) coefficient [kappa/c = ln (1/T)]  kappa
absorbance (extinction) [A = log (1/T)]  A...E
absorptivity (specific absorbance) [decadic absorption or extinction coefficient] a
molar absorptivity (molar decadic absorption or extinction coefficient) [epsilon/c = A] epsilon
refraction index n
refractivity r
angle of optical rotation alpha

Electricity and magnetism

elementary charge e
quantity of electricity Q
charge density rho
surface charge density sigma
electric current I...i
electric current density J
electric potential V
electric field strength E
electric displacement D
electrokinetic potential zeta
capacitance C
permittivity (dielectric constant) epsilon
dielectric polarization P
dipole moment µ
electric polarizability of a molecule alpha,gamma
magnetic field strength H
magnetic induction B
magnetic permeability µ
magnetization M
magnetic susceptibility chi
resistance R
resistivity rho
mutual inductance M,L12
self inductance L
reactance X
impedance Z
admittance Y

Electrochemistry

Faraday's constant (the faraday) F
charge number of an ion, plus or minus  z
degree of electrolytic dissociation alpha
ionic strength I...µ
electrolytic conductivity (specific conductance) kappa
equivalent or molar conductance of electrolyte or ion A
transport number t,T
electromotive force E
overpotential eta
*The terms for the Helmholtz and Gibbs energies were modified by action of the IUPAC Council, Montreal, August 1961, as follows:
Helmholtz energy (Gibbs psi = E-TS):A Gibbs energy (Gibbs zeta = H-TS):G