List of Equations

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Ideal Solar Cell

$I = I_{L} - I_{0} [\exp (\frac{q V}{n k T}) - 1]$

Ideal Solar Cell (simplified)

$I = I_{L} - I_{0} [\exp (\frac{q V}{n k T})]$

Implied Voc

$V_{O C} = \frac{k T}{q} \ln [\frac{(N_{A} + Δ n) Δ n}{n_{i}^{2}}]$

Intensity

$I_{D} = 1.353 \cdot [(1 - a h) 0 . 7^{A M^{0.678}} + a h]$

Intensity from Air Mass

$I_{D} = 1.353 \times {0.7}^{(A M^{0.678})}$

Intensity Sea Level

$I_{D} = 1.353 \cdot 0 . 7^{A M^{0.678}}$

Lead Acid Negative Terminal Reaction

$P b + S {O_{4}}^{2 -} \Leftrightarrow_{c h a r g e}^{d i s c h a r g e} P b S O_{4} + 2 e^{-}$

Lead Acid Overall Reaction

$P b O_{2} + P b + 2 H_{2} S O_{4} \Leftrightarrow_{c h a r g e}^{d i s c h a r g e} 2 P b S O_{4} + 2 H_{2} O$

Lead Acid Positive Terminal Reaction

$P b O_{2} + S {O_{4}}^{2 -} + 4 H^{+} + 2 e^{-} \Leftrightarrow_{c h a r g e}^{d i s c h a r g e} P b S O_{4} + 2 H_{2} O$

Lithium Oxidation

$L i \to L i^{+} + e^{-}$

Lithium Reduction

$L i^{+} + e^{-} \to L i$

Nernst Equation

$E = E^{0} - \frac{R T}{n F} \times \ln (Q)$

ni definition

$n_{0} p_{0} = n_{i}^{2}$

Photon Energy

$E = \frac{h c}{λ}$

Photon Energy : Electron-Volt

$E (e V) = \frac{1.24}{λ (μ m)}$

Photon Flux

$F (λ) = Φ E \frac{1}{Δ λ} in SI units$

Photon Flux : Wavelength

$F (λ) = Φ q \frac{1.24}{λ (μ m)} \frac{1}{Δ λ (μ m)}$

Planck's Radiation Law

$F (λ) = \frac{2 π h c^{2}}{λ^{5} (e x p (\frac{h c}{k λ T}) - 1)}$

Poisson's Equation

$\frac{d E}{d x} = \frac{ρ}{ε} = \frac{q}{ε} (p (x) - n (x) - N_{A}^{-} + N_{D}^{+})$

Possion's Equation (simple)

$\frac{d E}{d x} = \frac{ρ}{ε}$

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List of Equations

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