From Bioblast

## Description

Numerical **equivalence** (symbol ≡) indicates that two quantities are numerically equal, even if the full meaning may be different. For instance: 1 ≡ 1·1 and 1 ≡ 1/1. In contrast to ≡, the symbol = indicates physicochemical equality.

**Abbreviation:** ≡

**Reference:** Gnaiger 2020 BEC MitoPathways

## Example

- Iconic symbols indicate equality beyond equivalence, for instance in equations for the protonmotive force
*pmF*(Blue Book Eq. 8.1 and 8.2)

- Conventional symbols:

- Iconic symbols indicate equality beyond equivalence, for instance in equations for the protonmotive force

The protonmotive force *pmF*Format Definition Units charge format: Δp ≡ ∆ *𝜇*_{H+}∙ (*𝑧*_{H+}∙*𝐹*)^{−1}+ ∆*𝛹*_{p+}[J∙C ^{-1}= V]amount format: Δ *𝜇̃*_{H+}≡ ∆*𝜇*_{H+}+ ∆*𝛹*_{p+}∙ (*𝑧*_{H+}∙*𝐹*)[J∙mol ^{-1}= Jol]

- Iconic symbols: Δ
_{m}*F*_{H+}= Δ_{d}*F*_{H+}+ Δ_{el}*F*_{p+}

- Iconic symbols: Δ

Chemical potential, stoichiometry, and metabolic force Quantity Symbol Equation Units Blue Book 8.2.2. potential: *μ*_{H+}= *RT*∙ln*a*_{H+}= -*RT*∙ln(10)∙pH[kJ∙mol ^{-1}]8.18a difference Δ *μ*_{H+}= - *RT*∙ln(10)∙ΔpH = -*RT*∙2.303∙(pH_{b}-pH_{a})[kJ∙mol ^{-1}]8.18b force: Δ _{d}*F*_{H+}= *μ*_{H+a}∙*ν*_{a}+*μ*_{H+b}∙*ν*_{b}=-*RT*∙2.303∙∆_{d}pH[kJ∙mol ^{-1}]8.18c

**MitoPedia concepts:**
Ergodynamics