Difference between revisions of "Equivalence"
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== 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: | |||
:::::::::::: {| class="wikitable" | |||
|+ The protonmotive force ''pmF'' | |||
|- | |||
! Format !! Definition !! Units | |||
|- | |||
| charge format: || Δp ≡ ∆''𝜇''<sub>H<sup>+</sup></sub> ∙ (''𝑧''<sub>H<sup>+</sup></sub> ∙ ''𝐹'')<sup>−1</sup> + ∆''𝛹''<sub>p<sup>+</sup></sub> || [J∙C<sup>-1</sup> = V] | |||
|- | |||
| amount format: || Δ''𝜇̃ ''<sub>H<sup>+</sup></sub> ≡ ∆''𝜇''<sub>H<sup>+</sup></sub> + ∆''𝛹''<sub>p<sup>+</sup></sub> ∙ (''𝑧''<sub>H<sup>+</sup></sub> ∙ ''𝐹'') || [J∙mol<sup>-1</sup> = Jol] | |||
|} | |||
:::: Iconic symbols: Δ<sub>m</sub>''F''<sub>H<sup>+</sup></sub> = Δ<sub>d</sub>''F''<sub>H<sup>+</sup></sub> + Δ<sub>el</sub>''F''<sub>p<sup>+</sup></sub> | |||
:::::: {| class="wikitable" | |||
|+ Chemical potential, stoichiometry, and metabolic force | |||
|- | |||
! Quantity !! Symbol !! Equation !! Units !! [[Blue Book]] 8.2.2. | |||
|- | |||
| potential: || ''μ''<sub>H<sup>+</sup></sub> || = ''RT''∙ln ''a''<sub>H<sup>+</sup></sub> = -''RT''∙ln(10)∙pH || [kJ∙mol<sup>-1</sup>] || 8.18a | |||
|- | |||
| difference || Δ''μ''<sub>H<sup>+</sup></sub> || = -''RT''∙ln(10)∙ΔpH = -''RT''∙2.303∙(pH<sub>''b''</sub>-pH<sub>''a''</sub>) || [kJ∙mol<sup>-1</sup>] || 8.18b | |||
|- | |||
| force: || Δ<sub>d</sub>''F''<sub>H<sup>+</sup></sub> || = ''μ''<sub>H<sup>+</sup>''a''</sub>∙''ν''<sub>a</sub> + ''μ''<sub>H<sup>+</sup>''b''</sub>∙''ν''<sub>b</sub> =-''RT''∙2.303∙∆<sub>d</sub>pH || [kJ∙mol<sup>-1</sup>] || 8.18c | |||
|} | |||
{{MitoPedia concepts | {{MitoPedia concepts | ||
|mitopedia concept=Ergodynamics | |mitopedia concept=Ergodynamics | ||
}} | }} | ||
Latest revision as of 12:35, 17 July 2022
- 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: ΔmFH+ = ΔdFH+ + ΔelFp+
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
