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4. Model results

To facilitate the use of the rate file as a standard package, we have calculated the pseudo-time-dependent evolution of the 395 species in a dark cloud model in which tex2html_wrap_inline9658, tex2html_wrap_inline9660, and tex2html_wrap_inline9662 magnitudes. We have adopted the same initial elemental abundances as in our calculation with the 1990 version: H:He:C:N:O:Na:Mg:Si:P:S:Cl:Fe = tex2html_wrap_inline9664, and give both early-time (tex2html_wrap_inline9666) and steady-state (tex2html_wrap_inline9668) abundances in Table 5. In addition to the gas-phase reactions of Table 4, we have included the grain surface formation of tex2html_wrap_inline9670 with a rate coefficient of tex2html_wrap_inline9672.

Table 5: Fractional abundances with respect to tex2html_wrap_inline9674 at tex2html_wrap_inline9676 (early time) and tex2html_wrap_inline9678 (steady state) years

Table 5: continued

Table 5: continued

The calculated abundances show some significant differences with those published in Millar et al. (1991b). We discuss these noting those reactions which have caused the changes and indicating the most important of these reactions which can be be studied further in the laboratory. We concentrate on the differences in steady-state results since it is more apparent which differences are caused by the new rate coefficients; at early time, differences can be caused by small changes in the time scale for chemical evolution.

4.1. Small molecules

The abundance of C atoms is an order of magnitude larger in this model. The major source of the increase in CI is due to the reaction Ctex2html_wrap_inline10592 + NO tex2html_wrap_inline10594 C + NOtex2html_wrap_inline10596. Although the rate coefficient for this reaction is unchanged in this revision of the ratefile, the NO abundance is larger by tex2html_wrap_inline10598 100 due to an increase in the rate coefficient of the N + OH tex2html_wrap_inline10600 NO + H reaction. The increase is due to an adoption of a different dependence on temperature, from tex2html_wrap_inline10602 to tex2html_wrap_inline10604, an increase of tex2html_wrap_inline10606 13 at a temperature of 10 K. This behaviour also is an indication of some of the difficulties in tracing the origin of the changes in abundances; an alteration to one rate coefficient can propagate through to species other than those directly involved in the reaction concerned. In our analysis here, we have made use of software which tabulates, for all species, the relative weights of the various formation and destruction reactions.

The OH abundance is also an order of magnitude larger due to a decrease in the rate coefficient of the O + OH tex2html_wrap_inline10608 Otex2html_wrap_inline10610 + H reaction. The Otex2html_wrap_inline10612 abundance is unchanged by this change to the rate coefficient because the `throughput', which depends on the product kn(O)n(OH) is unchanged. This can only occur when the reaction is the major route to formation. At steady state the reaction contributes 83tex2html_wrap_inline10616 to the loss rate of OH.

The increased C and NO abundances have a minor effect on the abundance of CN since they form this molecule at the 30tex2html_wrap_inline10618 level. The major route to CN is the dissociative recombination of HCNHtex2html_wrap_inline10620 with electrons, although the branching ratio to CN (and those to HCN and HNC) are only estimated theoretically. An experimental determination of these ratios is needed. The rate of formation of CN is increased by about a factor of 1.5 but the CN abundance falls by about 30 because the reaction CN + Otex2html_wrap_inline10622 tex2html_wrap_inline10624 CO + NO is about 70 times faster in RATE95 than in RATE90. This reaction has, through altering the abundance of CN, an affect on the abundance of other species. Note that the CN + Otex2html_wrap_inline10626 reaction rate coefficient has been measured down to 13 K.

The increased abundances of NO and OH also cause the N atom abundance to decrease by about 40 because the reactions of N with NO and OH are very efficient at converting atomic nitrogen into nitrogen-bearing molecules.

Other molecules, particularly oxides, are affected by the increased OH abundance. They include COtex2html_wrap_inline10628, which is a factor of 10 larger, and which is formed by the CO + OH reaction. COtex2html_wrap_inline10630 is unobservable from the ground, except indirectly via its protonated form, HOCOtex2html_wrap_inline10632, but should be detectable at IR wavelengths by the ISO mission. The only phosphorus molecule yet detected in interstellar clouds, PN, decreases by an order of magnitude due to the indirect effects of OH.

The uncertainty attached to the calculated abundance of OCN in this model calculation is difficult to quantify as it is uncertain how this species forms in interstellar clouds. In the ratefile, it is formed in the reaction of CN with Otex2html_wrap_inline10634, which is less efficient due to the decrease in the CN abundance. The OCN abundance is a factor of 20 lower in this model.

Finally, the abundance of HPO decreases by about 30 due to the inclusion of the reaction O + HPO tex2html_wrap_inline10636 PO + OH, which was not included in RATE90.

4.2. Carbon-chain species

The Ctex2html_wrap_inline10638H abundance is a factor of around 100 less because of more rapid loss with O and Otex2html_wrap_inline10640. These reactions,which were assumed to have activation energy barrriers of 250 K and 3500 K, respectively, are now taken to be activationless. The Ctex2html_wrap_inline10642Htex2html_wrap_inline10644 molecule, which in RATE90 was produced primarily by the Ctex2html_wrap_inline10646H + Ctex2html_wrap_inline10648Htex2html_wrap_inline10650 tex2html_wrap_inline10652 Ctex2html_wrap_inline10654Htex2html_wrap_inline10656 + H reaction, falls by an order of magnitude as the Ctex2html_wrap_inline10658H abundance is lower. HCtex2html_wrap_inline10660N also falls by an order of magnitude. Although the formation reaction CN + Ctex2html_wrap_inline10662Htex2html_wrap_inline10664 tex2html_wrap_inline10666 HCtex2html_wrap_inline10668N + H has a larger rate coefficient in RATE95, the decrease in the CN abundance by a factor of 30 more than offsets this. The Ctex2html_wrap_inline10670 abundance falls by tex2html_wrap_inline10672 10tex2html_wrap_inline10674 due to the inclusion of a new rapid destruction channel, reaction with O atoms, which dominates over the loss reactions of Ctex2html_wrap_inline10676 with ions. However, since the products of this reaction are assumed to be Ctex2html_wrap_inline10678 and CO, the Ctex2html_wrap_inline10680 abundances increases by tex2html_wrap_inline10682 200. Rapid destruction of Ctex2html_wrap_inline10684 with O atoms is included in both RATE90 and RATE95.

The formation of CHtex2html_wrap_inline10686CHO increases by around 100 due to a large increase in the rate coefficient of the radiative association Htex2html_wrap_inline10688Otex2html_wrap_inline10690 + Ctex2html_wrap_inline10692Htex2html_wrap_inline10694 tex2html_wrap_inline10696 Ctex2html_wrap_inline10698Htex2html_wrap_inline10700Otex2html_wrap_inline10702 + htex2html_wrap_inline10704, from which CHtex2html_wrap_inline10706CHO forms by dissociative recombination.

The heavy molecule CHtex2html_wrap_inline10708Ctex2html_wrap_inline10710N decreases in abundance by tex2html_wrap_inline10712 1000 due to the inclusion of an additional channel in the products of the dissociative recombination of Htex2html_wrap_inline10714Ctex2html_wrap_inline10716Ntex2html_wrap_inline10718, protonated CHtex2html_wrap_inline10720Ctex2html_wrap_inline10722N. In RATE90, the only products of the recombination are CHtex2html_wrap_inline10724Ctex2html_wrap_inline10726N + H. Thus, proton transfer, followed by dissociative recombination, simply recycles the neutral molecule and its effective destruction is small. In RATE95, we include, with an equal branching ratio, a channel to CHtex2html_wrap_inline10728 + HCtex2html_wrap_inline10730N, which breaks the recycling process and leads to a much larger destruction rate for CHtex2html_wrap_inline10732Ctex2html_wrap_inline10734N.

Because the results of the calculation shown in Table 5 are for physical parameters similar to those in the dark dust cloud TMC-1, we show in Table 6 a comparison between the calculated abundances at early time (tex2html_wrap_inline10736) and steady-state (tex2html_wrap_inline10738) and those observed toward TMC-1. This calculation has not been optimised in the sense of searching for the best-fit through looking for the best time, varying elemental abundances, cosmic ray ionisation rate, etc., but it does show that the chemistry is particularly suited to this type of source. In general, around one-half of the molecules agree to within a factor of 5 at early time, although there are some notable exceptions. SO and tex2html_wrap_inline10740 both increase in abundance rapidly at late times and agree with the observations around steady-state, although the tex2html_wrap_inline10742 abundance is too large at this time. Some molecules, tex2html_wrap_inline10744 (n = 3-6) for example, are much too large at early time. This may indicate that they have faster loss reactions with O atoms than adopted in the rate file, where we have assumed an activation energy barrier of 250 K. tex2html_wrap_inline10748 is too low at all times and this might indicate that the radiative association rate coefficient for the tex2html_wrap_inline10750 reaction has been underestimated (see Millar & Herbst 1990 for a discussion). The abundances of HCStex2html_wrap_inline10752 and HCNHtex2html_wrap_inline10754 are roughly an order of magnitude below the observations. This difference can be resolved by the adoption of ion-dipolar rate coefficients for the proton transfer reactions of CS and HCN. Finally, we note that contrary to many statements in the literature, the tex2html_wrap_inline10756 abundance agrees with the observations at early times and does not need a special chemistry to be invoked.

Table 6: Comparison of observations toward TMC-1 (Ohishi et al. 1992) with fractional abundances with respect to tex2html_wrap_inline10758 at tex2html_wrap_inline10760 (early time) and tex2html_wrap_inline10762 (steady state) years


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