Freeze-out and coagulation in pre-protostellar collapse
  We study the changes in physical and chemical conditions during the collapse of a pre--protostellar core, starting from initial conditions appropriate to a dense molecular cloud and proceeding to the ``completely depleted'' limit. We follow the evolution of the ionization degree and the ionic composition as functions of time and density. The processes of freeze--out on to the dust grains and coagulation of the grains were treated simultaneously with the chemical evolution of the medium.When proceeding at close to its maximum rate, coagulation has important consequences for the degree of ionization and the ionic composition of the medium, but its effect on the freeze--out of the neutral species is modest.An innovation of our study is to calculate the grain charge distribution which is significant because H+ ions recombine on the surfaces of negatively charged grains. We also consider the observational result that N-containing species, such as NH3 and N2H+,remain in the gas phase at densities for which CO and other C--containing molecules appear to have frozen on to grain surfaces. We conclude that recent measurements of the adsorption energies of N2 and CO invalidate the interpretation of these observations in terms of the relative volatilities of N2 and CO. We consider an alternative explanation,in terms of low sticking coefficients for either molecular or atomic N. We find that, irrespective of the nitrogen chemistry,the main gas phase ion is either H+ or H3+ (and its deuterated isotopes) at densities above 10^5; whether H+ or H3+ predominates depends sensitively on the rate of increase in grain size (decrease in grain surface area per unit volume of gas) during core contraction.Our calculations show that H+ will predominate if grain coagulation proceeds at close to its maximum rate, and H3+ otherwise. 
D.R.Flower, G. Pineau des Forets C.M.Walmsley