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Equations
   D  
 
de Broglie Equation   λ = h p
de Moivre's theorem   e i ⁢ θ = cos ⁢   θ + i ⁢ sin ⁢ θ
Debye-Waller Factor   F = F 0 ⁢ exp ⁢ ( - Q 2 u 2 / 3 )
Decay Law   N ( t ) = N 0 e - λt
Decibel   n = 10 ⁢   log 10 ( I 1 I 2 ) = 20 ⁢   log 10 ( P 1 P 2 )
Decineper   d = ln x 1 x 2
Density   ρ = m v
Density Change   ρ θ = ρ 0 ( 1 + γθ )
Destructive Interference   path ⁢   difference = 2 mλ + λ 2
Dielectric Loss   W = ω C V 2 tan ⁢ δ
Diffraction Grating   a ⁢ sin ⁢ θ m = m ⁢ λ
Diffusion Coefficient   D = D 0 e - E kT
    D = x 2 t
Dispersivity, dispersive power   d = n 2 - n 1 n ¯ - 1
Displacement   D = ε 0 + P
Displacement, equations of motion   s = vt
    s = ut + 1 2 a t 2
Displacement, Simple Harmonic Motion   x = r ⁢ sin   ω ⁢ t
Dissipation Factor   tan   δ = σ ωε
Dittus-Boelter Equation   u ∝ c ( k Δ s d ) 1 3 ( vd u s ) 1 12
Doppler effect(light)   f L = c - v c + v f s λ L = c + v c - v λ S
Doppler effect (sound)   f L c + v L = f S c + v s λ L c + v s = λ S c + v L
Doppler Effect - Observed Frequency   f 0 = f s V - V 0 ( + W ) V - V s ( + W )
Drude Law   α = k λ 2 + λ 0 2
Dühring's Rule   t ′ = a + bt
 
       
    E    
 
Effective Half Life   τ ( b 1 2 ) τ ( r 1 2 ) τ ( b 1 2 ) + τ ( r 1 2 )
Einstein Diffusion Equation   D = δ 2 2 τ = RT 6 πηr N A
Einstein equation for the specific heat of a solid   C v optical = n ⁢ k B x 2 e x ( e x - 1 ) 2
Einstein Mass Energy Equation   E 2 = p 2 c 2 + m 2 ⁢ c 4 E ⁢     = m c 2
Einstein Photoelectric Equation   E = hv - φ
Einstein Potential Energy Equation   hf = h f 0 + 1 2 m v 2
Elastic Constant   E = 2 G ( 1 + v ) = 3 K ( 1 - 2 v )
Elasticity Modulus   - V δ ⁢ p δ ⁢ V
Electrical Heating   H = V ⁢ It
Electric Field Strength   E = - ∇ V
Electric Field Strength   F = q ⁢ E  
Electrical heating   H = V ⁢ It  
Electromagnetic Force on Electron   F = Bev
Electron Mass   m = m 0 1 - ( v c ) 2
Electrostatic Force on Electron   F = eE
Ellipse, Area of   A = π r 1 r 2
Energy/Degree of Freedom   E = 1 2 kT
Energy density of a magnetic field   u = 1 2 ε 0 c 2 B 2 
Energy density of an electric field   u = 1 2 ε 0 E 2  
Energy Gain   F = eV
Energy, Kinetic   E K = 1 2 m v 2
Energy, Gravitational Potential   E P = mgh
Energy of Capacitor   E = 1 2 Q ⁢ V = 1 2 C ⁢ V 2
Energy of photon   E = h ⁢ f
Equations of Motion   s = v ⁢ t s = u ⁢ t + 1 2 a ⁢ t 2 v 2 = u 2 + 2 a ⁢ s ⁢ v = u + a ⁢ t
Equilateral Triangle, Area of   A = h 2 3 3 ⁢           = a 2 3 4 ⁢
Ertel Potential Vorticity   q = v ( ω + 2 Ω ) . ∇ Ψ
Escape Velocity   v escape = 2 GM R
Euler Buckling Limit   X = π 2 EI L 2
Euler's Formula   P = π 2 EI ( min ) L 2
Exhaust Velocity   v e = I sp g
Exner Function   P = ( P P 0 ) γ - 1 γ
 
       
    F    
 
Faraday Constant   F = N A ⁢ e
Faraday induction law  
function of E . d ⁢ I = - d ⁢ φ d ⁢ t E . d I = - L d ⁢ I d ⁢ t
function of
Feedback Factor   V out V in = - A 1 - β ⁢ A
Feedback Ratio   β = e f e 0
Fermi-Dirac distribution law   f ( ε ) = 1 exp [ ( ε - μ ) / k B T ] + 1
Fick's Laws of Diffusion   ⁢   J = D ∇ x ⁢   ∂ ρ ∂ t = D ∇ 2 ρ
First Law of Thermodynamics   Δ ⁢ U = Δ ⁢ Q + Δ ⁢ W
Force Between Two Charges   F = Q 1 Q 2 4 πε d 2
Force, Electromagnetic, on Electron   F = Bev
Force, Electrostatic, on Electron   F = eE
Force on a Charge   F = QE
Force on a Current   d ⁢ F = I ( d ⁢ I × B ) F = B ⁢ I ⁢ l ⁢ sin ⁢ θ
    F = QV d
Free Volume   V f = V - V 0
Frequency of vibration of stretched string   f = n 2 l T μ
Frequency(closed tube)   f = c 4 l ( 2 n + 1 )
Frequency(open tube)   f = c 2 l n
Fresnel reflection coefficients   | R | 2 = sin 2 ( i - r ) sin 2 ( i + r ) for incident wave polarised perpendicularly to plane of incidence | R | 2 = tan 2 ( i - r ) tan 2 ( i + r ) ⁢ for incident wave polarised parallel to plane of incidence
Freundlich adsorption isotherm   θ = a p 1 / b
Froude's Transition Curve   y = x 3 6 lr

Fundamental Frequency
(closed tube)

  f = v 4 l
 
 
 
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