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3. The reaction set

Table 4 contains the fundamental rate coefficient data. In this section, we discuss the general form of the data, describe the format of each entry, discuss particular reactions or class of reactions and describe major differences since the 1990 release.

3.1. General form

The reactions and associated rate coefficients can be divided up into a number of categories, each of which has been ordered in terms of the mass number of the first reactant, and for a specific first reactant in terms of increasing mass number for the second reactant. The ratefile is organised as follows:

Table 4: Reactions and their rate coefficients

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3.2. The entry format

Each entry in Table 4 has the following form: I, R1, R2, P1, P2, P3, P4, tex2html_wrap_inline9562, Note where I is the reaction number, R1 and R2 are reactants - R2 can be a cosmic-ray proton (CRP), an interstellar photon (PHOTON), or a cosmic-ray-induced photon (CRPHOT) - and P1 to P4 are reaction products, with the entry format given by:

1X,A4,1X,4(1A7,1X),A3,1X,A3,1PE8.2,1X,0PF5.2,1X,F8.1,A9 For each reaction, tex2html_wrap_inline9564 and tex2html_wrap_inline9566 are used to calculate the rate coefficient by:
equation1551
for two-body reactions, where T is the gas temperature,
equation1556
for direct cosmic-ray ionisation (R2 = CRP),


equation1559
for interstellar photoreactions (R2 = PHOTON), where tex2html_wrap_inline9570 represents the rate in the unshielded interstellar ultraviolet radiation field, tex2html_wrap_inline9572 is the extinction at visible wavelengths caused by interstellar dust, tex2html_wrap_inline9574 is the parameter used to take into account the increased extinction of dust at ultraviolet wavelengths, and


equation1563
for cosmic-ray-induced photoreactions (R2 = CRPHOT), where tex2html_wrap_inline9576 is the grain albedo in the far ultraviolet, typically 0.6 at 150 nm, tex2html_wrap_inline9578 the cosmic-ray ionisation rate and tex2html_wrap_inline9580 is the probability per cosmic-ray ionisation that the appropriate photoreaction takes place.

Grain surface reactions are not included in this database since there is, as yet, little consensus on the magnitude of the appropriate rate coefficients nor, indeed, on the mode of reaction. One important omission is the formation of tex2html_wrap_inline9582 which is known to take place on the surfaces of interstellar grains and for which a reasonable estimate of the rate can be deduced both from theory (Hollenbach & Salpeter 1972) and observation (, Jura 1975a,b).

`Note' is a nine-column entry which gives information on the type and source of the data and has the form:-

3.3. Alterations present in this release

Major changes to the original database include:-

It should be noted that while the reaction set is closed, i.e. all species have at least one formation and destruction reaction, several of the hot core species are probably formed by grain surface reactions since they do not have efficient gas-phase routes to their syntheses. As a result, the species tex2html_wrap_inline9628, and tex2html_wrap_inline9630 and their ions should not be included in a purely gas-phase scheme, since they have no gas-phase formation routes. In hot molecular core models, they are assumed to be present with some initial abundance determined by grain surface reactions.

3.4. Particular reactions

Neutral-neutral reactions (Nos. 1 - 394)

The original rate file (Millar et al. 1991b) was ordered slightly differently in that the first reaction block listed those reactions possessing activation energies. The rationale was that in a particular low-temperature application, this block of reactions could be edited out. However, it turns out that a number of reactions previously thought to possess activation energies do not and vice versa. In addition, the speed of modern computers means that it is not much more costly to compute a chemical model with all reactions in the rate file. We have therefore gathered all neutral-neutral reactions in the first block.

Additional reactions to this section include those associated with phosphorus chemistry, e.g. tex2html_wrap_inline9632 (n = 1-4), taken from Millar (1991) and large carbon-chain chemistry, in particular reactions involving atomic oxygen (Herbst & Leung 1989) and atomic carbon ( Haider & Husain 1993a,b; Clary et al. 1994), the chemistry of tex2html_wrap_inline9636 (Marston et al. 1989), and low-temperature reactions of CN with several neutral molecules ( Sims et al. 1992, 1993a,b). Several of the reactions involve non-conservation of spin and may have rate coefficients smaller than tabulated or possess activation energy barriers. In some systems, the presence of low-lying electronic states may alter the products and rate coefficients.

Much effort has gone in to evaluating the neutral-neutral rate coefficients and in trying to include as many experimental determinations as possible. We have therefore searched the National Institute of Standards and Technology (NIST) Chemical Kinetics Database - Version 6 (Mallard et al. 1994) and included what we believe to be the most appropriate form of the rate coefficient. It is important to remember that neutral-neutral reactions are usually studied at room temperature and above so that application of laboratory-determined rate coefficients to low-temperature interstellar cloud models is often insecure. For example, it is possible that several reactions listed as having no activation energy do, in fact, have small barriers (tex2html_wrap_inline9638) which are not evident in measurements performed at room temperature. In addition, some reactions in the NIST Database are best characterised by a negative activation energy barrier since their rate coefficients increase with decreasing temperature. In order to prevent a serious over-estimate of these rate coefficients at 10 K, we have generally preferred to adopt an alternative, although still accurate, form for the rate coefficients, for example, one involving a power-law dependence on temperature. Normally, the NIST Database contains such alternative formulations. Roughly one half of the neutral-neutral reactions have been studied in the laboratory.

Finally, it is important to note that rate coefficients for the collisional dissociation (CD) reactions are dependent on both density and temperature and reference to the appropriate values to use in particular circumstances should be made to the original papers (Roberge & Dalgarno 1982, Dove & Mandy 1986).

Ion-neutral reactions (Nos. 395 - 3197)

This block includes the reactions of some negative ions as well as the more usual positive ion-neutral reactions. Around one-third of the 2800 reactions have experimentally determined rate coefficients, with several tens of rate coefficients studied at temperatures less than 100 K. The accuracy of the remaining rate coefficients is fairly high since theoretical methods for determining these depend chiefly on long-range forces and are very reliable for exothermic systems. At temperatures less than about 50 K, the presence of a neutral having a large electric dipole increases the rate coefficient (Adams et al. 1985). As mentioned above, there are various approximations which can be used to derive the low-temperature rate coefficients for such systems.

There are some limitations on the data presented here. For example, the radiative association reactions are labelled `M', for measured, although in fact it is their three-body analogues which have been studied experimentally. The association rate coefficients are derived theoretically from these rates and are parameterised in a form which is valid only for the tex2html_wrap_inline9640 temperature range in general. At higher temperatures, different values and different temperature dependencies can apply. Furthermore, some important reactions, in particular the tex2html_wrap_inline9642 and tex2html_wrap_inline9644 reactions, have rate coefficients not easily approximated by the format in Table 4. Such reactions are discussed in detail by Millar et al. (1991b).

Reactions involving electrons (Nos. 3198 - 3634)

This block includes electron attachment (of H, C, O and S) as well as radiative and dissociative recombination of positive ions. An increasing number of dissociative recombination reactions have been studied in the laboratory (Herd et al. 1990; Amano 1990; Adams et al. 1991; Mitchell 1990; Canosa et al. 1991) and reviews have been given by Adams (1992) and several in a conference proceedings (Rowe et al. 1993). Branching ratios still remain an area of uncertainty in most cases. The dissociative recombination rate coefficient of tex2html_wrap_inline9646 remains a matter of some debate (Amano 1990; Canosa et al. 1991; Smith & Spanel 1993; Sundstrom et al. 1994) although there has been a significant narrowing of the differences between rate coefficients measured in several laboratories. In general, calculated molecular abundances are not very sensitive to the total dissociative recombination rate coefficient but are sensitive to the adopted branching ratios.

Photoprocesses (Nos. 3646 - 3795)

We have added a number of photoreactions taken from the compilation of Roberge et al. (1991), scaled to the interstellar radiation field determined by Draine (1978). Photorates should be used with care for a number of reasons. Some species, most importantly tex2html_wrap_inline9648 and CO, dissociate via absorption of line radiation and thus self-shield. This is not included in the rate file and approaches such as those discussed by van Dishoeck & Black (1988), Lee et al. (1996) and Warin et al. (1996) need to be incorporated into chemical models. In addition, the intensity of ultraviolet radiation at any point in a cloud is determined by the properties of the small interstellar dust grains which control the transfer of radiation. Both the pre-exponential (tex2html_wrap_inline9650) and the exponential (tex2html_wrap_inline9652) factors can be different for different grain populations (see Roberge et al. 1991). In some cases, a bi-exponential formula is to be preferred (see van Dishoeck 1988 for a discussion of this point). Finally, the rates are given for the standard interstellar radiation field incident on a slab and need to be re-evaluated when the field in a particular application is not a simple scaling of the interstellar field (Spaans et al. 1995) or when the cloud structure is clumpy (Boissé 1991).

Cosmic-ray-induced photoreactions (Nos. 3796 - 3864)

The Prasad-Tarafdar mechanism generates an internal source of UV photons in interstellar clouds. This source of photons becomes important in regions in which the extinction of the external field is large. We have taken the appropriate probabilities, (tex2html_wrap_inline9654), of reaction per cosmic-ray ionisation from Gredel et al. (1987, 1989) and Rawlings (1992) who has calculated photoionisation rates for some metal ions. Note that the value of tex2html_wrap_inline9656 for CO is dependent on the details of the cloud model (temperature and line-width). The form adopted here is a fit to the temperature-dependent values listed by Gredel et al. (1987).


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