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Motive unit
Description
The motive unit [MU] is the variable SI unit in which the motive entity (transformant) of a transformation is expressed, which depends on the energy transformation under study and on the chosen format. Fundamental MU for electrochemical transformations are:
- MU = x, for the particle or molecular format, N
- MU = mol, for the chemical or molar format, n
- MU = C, for the electrical format, e;
For the protonmotive force the motive entity is the proton with charge number z=1. The protonmotive force is expressed in the electrical or molar format with MU J/C=V or J/mol=Jol, respectively. The conjugated flows, I, are expressed in corresponding electrical or molar formats, C/s = A or mol/s, respectively.
The charge number, z, has to be considered in the conversion of motive units (compare Table below), if a change not only of units but a transition between the entity elementary charge and an entity with charge number different from unity is involved (e.g., O_{2} with z=4). The ratio of elementary charges per O_{2} molecule (z_{O2}=4) is multiplied by the elementary charge (e, coulombs per electron), which yields coulombs per O_{2} [C∙x^{-1}]. This in turn is multiplied with the Avogadro constant, N_{A} (O_{2} molecules per mole O_{2} [x∙mol^{-1}]), thus obtaining for ze∙N_{A} the ratio of elementary charges [C] per amount of O_{2} [mol^{-1}]. The conversion factor for O_{2} is 385.94132 C∙mmol^{-1}.
Abbreviation: MU
Communicated by Gnaiger E 2018-10-20
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Quantity name Symbol Unit name Symbol Comment elementary U_{X} elementary unit [x] U_{X}, U_{B}; [x] not in SI count N_{X} elementary unit [x] N_{X}, N_{B}; [x] not in SI number N - dimensionless = N_{X}·U_{X}^{-1} amount of substance n_{B} mole [mol] n_{X}, n_{B} electric current I ampere [A] A = C·s^{-1} time t second [s] length l meter [m] SI: metre mass m kilogram [kg] thermodynamic temperature T kelvin [K] luminous intensity I_{V} candela [cd]
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