Abstract
A mathematical model of charge-and-discharge processes in the NiOOH/Ni(OH)2 electrode during operation in the mode of cyclic volt-amperemetry with A-display of potential is presented. An object of the analysis is a flat crystal of active substance of “h” thickness which simulates a particle with the dimension of 2h. Physical and chemical properties of NiOOH/Ni(OH)2 system were appreciated on the basis of conception of biphase homogeneous structure of the material with a variable ratio of phases concentration. The equation for charging degree dependence of local factor of protons activity in a crystal lattice is offered. The factor of protons activity is included into the equations of equilibrium potential, kinetics of charge and the category and factor of protons diffusion. The concept of barrier layer which determines hysteresis of the equilibrium potential is accepted. The influence of variable ohmic resistance of the solid phase and the effect of protons migration under the action of electric field is taken into account.