The Cambridge Handbook of Physics Formulas
Index from 'Doppler effect' to 'Fraunhofer diffraction' 
Doppler
     effect (non-relativistic), 87
     effect (relativistic) [3.22], 65
     line broadening [8.116], 173
     width [8.117], 173
DOPPLER EFFECT, 87
dot product [2.1], 20
double factorial, 48
double pendulum [3.183], 76
DRAG, 85
drag
     on a disk || to flow [3.310], 85
     on a disk ^ to flow [3.309], 85
     on a sphere [3.308], 85
drift velocity (electron) [6.61], 132
Dulong and Petit's law [6.46], 130
Dynamics and Mechanics, 63-88
DYNAMICS DEFINITIONS, 68
e (exponential constant), 9
e TO 1000 DECIMAL PLACES, 18
Earth (motion relative to) [3.38], 66
EARTH DATA, 176
eccentricity
     of conic section, 38
     of orbit [3.108], 71
     of scattering hyperbola [3.120], 72
ECLIPTIC COORDINATES, 178
ecliptic latitude [9.14], 178
ecliptic longitude [9.15], 178
Eddington limit [9.59], 181
edge dislocation [6.21], 128
effective
     area (antenna) [7.212], 153
     distance (Fresnel diffraction) [8.48], 166
     mass (in solids) [6.86], 134
     wavelength [9.40], 179
efficiency
     heat engine [5.10], 107
     heat pump [5.12], 107
     Otto cycle [5.13], 107
     refrigerator [5.11], 107
Ehrenfest's equations [5.53], 109
Ehrenfest's theorem [4.30], 91
eigen -functions (quantum) [4.28], 91
Einstein
     A coefficient [8.119], 173
     B coefficients [8.118], 173
     diffusion equation [5.98], 113
     field equation [3.59], 67
     lens (rings) [9.50], 180
     tensor [3.58], 67
EINSTEIN COEFFICIENTS, 173
Einstein-de Sitter model [9.104], 185
elastic
     collisions, 73
     media (isotropic), 81
     modulus (longitudinal) [3.241], 81
     modulus [3.234], 80
     potential energy [3.235], 80
elastic scattering, 72
ELASTIC WAVE VELOCITIES, 82
Elasticity, 80
ELASTICITY DEFINITIONS (GENERAL), 80
ELASTICITY DEFINITIONS (SIMPLE), 80
electric current [7.139], 147
electric dipole, see dipole
electric displacement (dimensions), 16
electric displacement, D [7.86], 142
electric field
     around objects, 138
     energy density [7.128], 146
     static, 136
     thermodynamic work [5.7], 106
     wave equation [7.193], 152
electric field from
     A and f[7.41], 139
     charge distribution [7.6], 136
     charge-sheet [7.32], 138
     dipole [7.31], 138
     disk [7.28], 138
     line charge [7.29], 138
     point charge [7.5], 136
     sphere [7.27], 138
     waveguide [7.190], 151
     wire [7.29], 138
electric field strength (dimensions), 16
ELECTRIC FIELDS, 138
electric polarisability (dimensions), 16
electric polarisation (dimensions), 16
electric potential
     from a charge density [7.46], 139
     Lorentz transformation [7.75], 141
     of a moving charge [7.48], 139
     short dipole [7.82], 142
electric potential difference (dimensions), 16
electric susceptibility, cE[7.87], 142
electrical conductivity, see conductivity
ELECTRICAL IMPEDANCE, 148
electrical permittivity, e, er[7.90], 142
electromagnet (magnetic flux density) [7.38], 138
electromagnetic
     boundary conditions, 144
     constants, 7
     fields, 139
     wave speed [7.196], 152
     waves in media, 152
electromagnetic coupling constant, see fine structure constant
ELECTROMAGNETIC ENERGY, 146
Electromagnetic fields (general), 139
ELECTROMAGNETIC FORCE AND TORQUE, 145
ELECTROMAGNETIC PROPAGATION IN COLD PLASMAS, 157
Electromagnetism, 135-160
electron
     charge, 6, 7
     density of states [6.70], 133
     diamagnetic moment [7.108], 144
     drift velocity [6.61], 132
     g-factor [4.143], 100
     gyromagnetic ratio [4.140], 100
     heat capacity [6.76], 133
     intrinsic magnetic moment [7.109], 144
     mass, 6
     radius (equation) [7.238], 155
     radius (value), 8
     scattering cross-section [7.238], 155
     spin magnetic moment [4.143], 100
     thermal velocity [7.257], 156
     velocity in conductors [6.85], 134
ELECTRON CONSTANTS, 8
ELECTRON SCATTERING PROCESSES, 155
Electrons in solids, 132
electronvolt (unit), 5
electronvolt (value), 6
electrostatic potential [7.1], 136
ELECTROSTATICS, 136
elementary charge, 6, 7
elements (periodic table of), 124
ellipse, 38
     (semi) centre of mass [3.178], 76
     area [2.268], 37
     moment of inertia [3.166], 75
     perimeter [2.267], 37
     semi-latus-rectum [3.109], 71
     semi-major axis [3.106], 71
     semi-minor axis [3.107], 71
ellipsoid
     moment of inertia of solid [3.163], 75
     the moment of inertia [3.147], 74
     volume [2.269], 37
elliptic integrals [2.398], 45
elliptical orbit [3.104], 71
ELLIPTICAL POLARISATION, 170
elliptical polarisation [8.80], 170
ellipticity [8.82], 170
E = mc2 [3.72], 68
emission coefficient [5.174], 120
emission spectrum [7.291], 159
emissivity [5.193], 121
energy
     density
         blackbody [5.192], 121
         dimensions, 16
         elastic wave [3.281], 83
         electromagnetic [7.128], 146
         radiant [5.148], 118
         spectral [5.173], 120
     dimensions, 16
     dissipated in resistor [7.155], 148
     distribution (Maxwellian) [5.85], 112
     elastic [3.235], 80
     electromagnetic, 146
     equipartition [5.100], 113
     Fermi [5.122], 115
     first law of thermodynamics [5.3], 106
     Galilean transformation [3.6], 64
     kinetic , see kinetic energy
     Lorentz transformation [3.19], 65
     loss after collision [3.128], 73
     mass relation [3.20], 65
     of capacitive assembly [7.134], 146
     of capacitor [7.153], 148
     of charge distribution [7.133], 146
     of electric dipole [7.136], 146
     of inductive assembly [7.135], 146
     of inductor [7.154], 148
     of magnetic dipole [7.137], 146
     of orbit [3.100], 71
     potential , see potential energy
     relativistic rest [3.72], 68
     rotational kinetic
         rigid body [3.142], 74
         w.r.t. principal axes [3.145], 74
     thermodynamic work, 106
ENERGY IN CAPACITORS, INDUCTORS AND RESISTORS, 148
energy-time uncertainty relation [4.8], 90
ENSEMBLE PROBABILITIES, 114
enthalpy
     definition [5.30], 108
     Joule-Kelvin expansion [5.27], 108
entropy
     Boltzmann formula [5.105], 114
     change in Joule expansion [5.64], 110
     experimental [5.4], 106
     fluctuations [5.135], 116
     from partition function [5.117], 115
     Gibbs formula [5.106], 114
     of a monatomic gas [5.83], 112
entropy (dimensions), 16
e, er (electrical permittivity) [7.90], 142
EQUATION CONVERSION: SI TO GAUSSIAN UNITS, 135
equation of state
     Dieterici gas [5.72], 111
     ideal gas [5.57], 110
     monatomic gas [5.78], 112
     van der Waals gas [5.67], 111
equipartition theorem [5.100], 113
error function [2.391], 45
errors, 60
escape velocity [3.91], 70
estimator
     kurtosis [2.546], 57
     mean [2.542], 57
     skewness [2.545], 57
     standard deviation [2.544], 57
     variance [2.543], 57
Euler
     angles [2.101], 26
     constant
         expression [2.120], 27
         value, 9
     differential equation [2.351], 43
     formula [2.217], 34
     relation, 38
     strut [3.261], 82
Euler's equation (fluids) [3.289], 84
Euler's equations (rigid bodies) [3.186], 77
Euler's method (for ordinary differential equations) [2.597], 62
Euler-Lagrange equation
     and lagrangians [3.214], 79
     calculus of variations [2.335], 42
even functions, 53
EVOLUTIONARY TIMESCALES, 181
exa, 5
exhaust velocity (of a rocket) [3.93], 70
exitance
     blackbody [5.191], 121
     luminous [5.162], 119
     radiant [5.150], 118
exp(x) [2.133], 29
expansion coefficient [5.19], 107
EXPANSION PROCESSES, 108
expansivity [5.19], 107
EXPECTATION VALUE, 91
expectation value
     Dirac notation [4.37], 92
     from a wavefunction [4.25], 91
explosions [3.331], 87
exponential
     distribution [2.552], 58
     integral [2.395], 45
     series expansion [2.133], 29
exponential constant (e), 9
extraordinary modes [7.271], 157
extrema [2.336], 42
f-number [8.69], 168
Fabry-Perot etalon
     chromatic resolving power [8.21], 163
     free spectral range [8.23], 163
     fringe width [8.19], 163
     transmitted intensity [8.17], 163
FABRY-PEROT ETALON, 163
face-centred cubic structure, 127
factorial [2.410], 46
factorial (double), 48
Fahrenheit conversion [1.2], 15
faltung theorem [2.517], 55
farad (unit), 4
Faraday constant, 6, 9
Faraday constant (dimensions), 16
Faraday rotation [7.273], 157
Faraday's law [7.55], 140
fcc structure, 127
Feigenbaum's constants, 9
femto, 5
Fermat's principle [8.63], 168
Fermi
     energy [6.73], 133
     temperature [6.74], 133
     velocity [6.72], 133
     wavenumber [6.71], 133
fermi (unit), 5
Fermi energy [5.122], 115
FERMI GAS, 133
Fermi's golden rule [4.162], 102
Fermi-Dirac distribution [5.121], 115
fermion statistics [5.121], 115
fibre optic
     acceptance angle [8.77], 169
     dispersion [8.79], 169
     numerical aperture [8.78], 169
Fick's first law [5.92], 113
Fick's second law [5.95], 113
field equations (gravitational) [3.42], 66
FIELD RELATIONSHIPS, 139
fields
     depolarising [7.92], 142
     electrochemical [6.81], 133
     electromagnetic, 139
     gravitational, 66
     static E and B, 136
     velocity [3.285], 84
Fields associated with media, 142
film reflectance [8.4], 162
fine-structure constant
     expression [4.75], 95
     value, 6, 7
finesse (coefficient of) [8.12], 163
finesse (Fabry-Perot etalon) [8.14], 163
first law of thermodynamics [5.3], 106
fitting straight-lines, 60
fluctuating dipole interaction [6.50], 131
fluctuation
     of density [5.137], 116
     of entropy [5.135], 116
     of pressure [5.136], 116
     of temperature [5.133], 116
     of volume [5.134], 116
     probability (thermodynamic) [5.131], 116
     variance (general) [5.132], 116
Fluctuations and noise, 116
Fluid dynamics, 84
fluid stress [3.299], 85
FLUID WAVES, 86
flux density [5.171], 120
flux density-redshift relation [9.90], 184
flux linked [7.149], 147
flux of molecules through a plane [5.91], 113
flux-magnitude relation [9.32], 179
focal length [8.64], 168
focus (of conic section), 38
force
     and acoustic impedance [3.276], 83
     and stress [3.228], 80
     between two charges [7.119], 145
     between two currents [7.120], 145
     between two masses [3.40], 66
     central [4.113], 98
     centrifugal [3.35], 66
     Coriolis [3.33], 66
     critical compression [3.261], 82
     definition [3.63], 68
     dimensions, 16
     electromagnetic, 145
     Newtonian [3.63], 68
     on
         charge in a field [7.122], 145
         current in a field [7.121], 145
         electric dipole [7.123], 145
         magnetic dipole [7.124], 145
         sphere (potential flow) [3.298], 84
         sphere (viscous drag) [3.308], 85
     relativistic [3.71], 68
     unit, 4
Force, torque and energy, 145
FORCED OSCILLATIONS, 78
form factor [6.30], 128
formula (the) [2.456], 50
Foucault's pendulum [3.39], 66
four-parts formula [2.260], 36
four-scalar product [3.27], 65
four-vector
     electromagnetic [7.79], 141
     momentum [3.21], 65
     spacetime [3.12], 64
FOUR-VECTORS, 65
Fourier series
     complex form [2.479], 52
     real form [2.477], 52
FOURIER SERIES, 52
Fourier series and transforms, 52
FOURIER SYMMETRY RELATIONSHIPS, 53
Fourier transform
     cosine [2.510], 54
     definition [2.483], 52
     derivatives
         and inverse [2.503], 54
         general [2.499], 53
     Gaussian [2.508], 54
     Lorentzian [2.506], 54
     shah function [2.511], 54
     shift theorem [2.502], 54
     similarity theorem [2.501], 54
     sine [2.509], 54
     step [2.511], 54
     top hat [2.512], 54
     triangle function [2.513], 54
FOURIER TRANSFORM, 52
FOURIER TRANSFORM PAIRS, 54
FOURIER TRANSFORM THEOREMS, 53
Fourier's law [5.94], 113
Frames of reference, 64
Fraunhofer diffraction, 164