Equivalence

high-resolution terminology - matching measurements at high-resolution

Equivalence

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:

The protonmotive force pmF

Format	Definition	Units
charge format:	Δp ≡ ∆𝜇H+ ∙ (𝑧H+ ∙ 𝐹)−1 + ∆𝛹p+	[J∙C-1 = V]
amount format:	Δ𝜇̃ H+ ≡ ∆𝜇H+ + ∆𝛹p+ ∙ (𝑧H+ ∙ 𝐹)	[J∙mol-1 = Jol]

Iconic symbols: Δ_mF_H⁺ = Δ_dF_H⁺ + Δ_elF_p⁺

Chemical potential, stoichiometry, and metabolic force

Quantity	Symbol	Equation	Units	Blue Book 8.2.2.
potential:	μH+	= RT∙ln aH+ = -RT∙ln(10)∙pH	[kJ∙mol-1]	8.18a
difference	ΔμH+	= -RT∙ln(10)∙ΔpH = -RT∙2.303∙(pHb-pHa)	[kJ∙mol-1]	8.18b
force:	ΔdFH+	= μH+a∙νa + μH+b∙νb =-RT∙2.303∙∆dpH	[kJ∙mol-1]	8.18c

MitoPedia concepts: Ergodynamics