Chemical equation equalization is determining values of stechiometric coefficients of reactants and products in a chemical equation in a way that the number of atoms of each element is equal before and after the reaction.
Butler-Volmer equation is an activation controlled reaction, the one for which the rate of reaction is controlled solely by the rate of the electrochemical charge transfer process, which is in turn an activation-controlled process. This gives rise to kinetics that are described by the Butler-Volmer equation:
where io is exchange current density, η is overpotential (η = E - Eo), n is number of electrons, αA is anodic transfer coefficient, and αC is cathodic transfer coefficient
Clapeyron equation (also called the Clausius-Clapeyron equation) is a relation between pressure and temperature of two phases of a pure substance that are in equilibrium,
where ΔtrsS is the difference in entropy between the phases and ΔtrsV the corresponding difference in volume.
Equation of state is an equation relating the pressure, volume, and temperature of a substance or system. Equation of state for ideal gas
where p is pressure, V molar volume, T temperature, and R the molar gas constant (8.314 JK-1mol-1).
Einstein equation is the mass-energy relationship introduced by Albert Einstein in 1905 in the form E = mc2, where E is a quantity of energy, m its mass, and c is the speed of light. It presents the concept that energy possesses mass.
Navier-Stokes equations are a set of complex equations for the motion of a viscous fluid subject to external forces.
Ilkovic equation is a relation used in polarography relating the diffusion current (id) and the concentration of the depolarizer (c), which is the substance reduced or oxidized at the dropping mercury electrode. The Ilkovic equation has the form
Where k is a constant which includes Faraday constant, π and the density of mercury, and has been evaluated at 708 for max current and 607 for average current, D is the diffusion coefficient of the depolarizer in the medium (cm2/s), n is the number of electrons exchanged in the electrode reaction, m is the mass flow rate of Hg through the capillary (mg/sec), and t is the drop lifetime in seconds, and c is depolarizer concentration in mol/cm3.
The equation is named after the scientist who derived it, the Slovak chemist, Dionýz Ilkovič 1907-1980).
For general reaction of some redox system
dependence of electrode potential of redox system upon activity of oxidised and reduced form in solution is described in Nernst’s equation for electrode potential:
where E = to electrode potential of redox system
E° = standard electrode potential of redox system
R = universal gas constant
T = thermodymical temperature
F = Faraday’s constant
z = number of electrons exchanged in redox reaction
aO = activity of oxidised form
aR = activity of reduced form
n = stechiometrical coefficient of oxidised form
m = stechiometrical coefficient of reduced form
Rate equation is an equation that describes the dependence of reaction rate on concentrations of reacting species. It always has the form
where a and b are usually integral exponents.
Schrödinger equation is the basic equation of wave mechanics which, for systems not dependent on time, takes the form:
where Ψ is the wavefunction, V is the potential energy expressed as a function of the spatial coordinates, E its total energy,
2 is the Laplacian operator, h is Planck’s constant, and m is the mass.
Generalic, Eni. "Equal-arm balance." Croatian-English Chemistry Dictionary & Glossary. 29 June 2022. KTF-Split. {Date of access}. <https://glossary.periodni.com>.
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