## 2. Physical assumptionsAs in Paper I we take into account the elements He, C, N, O and Ne, assuming a plane-parallel, one dimensional stratification. The possible effects of mass-loss or convective mixing, which would lead to more complicated momentum equations, are excluded. In contrast to the calculations of Dehner & Kawaler (1995) the background stellar structure is not allowed to evolve: and are held fixed during the diffusion calculations. If the diffusion velocities for each element are small compared to the thermal velocities, the total mass flow is zero and thermal diffusion can be neglected, then the momentum equation for each element can be written according to Burgers (1969): and are the particle
density and mass, respectively. is the mean
electric charge of the particles of element This set of five linear algebraic equations can be solved for the diffusion velocities of the various elements. In the framework of this theory the particles are assumed as being classical, interacting via Coulomb forces, the possible effects of inelastic and reactive collisions are ignored. Using only one momentum equation for each element, we disregard the fact that the particles in the various ionization states have different diffusion velocities. A consistent treatment of this effect on the chemical statification would require to take into account the momentum exchange between the various ions which is due to photoionization processes and reactive collisions (for a review concerning improvements on diffusion calculations including radiative accelerations see Gonzales et al., 1995 and references therein). According to Geiss & Bürgi (1986) it is a good approximation to take into account the interaction between free electrons and ions only via the electric field and to neglect the electron collision term. Therefore we assume This equation is solved for the electric field and inserted into the Eqs. (1). The radiative transfer equation is solved by use of the diffusion approximation: where is the Rosseland mean opacity in , the opacities are computed as described in Paper I. © European Southern Observatory (ESO) 1997 Online publication: June 30, 1998 |