The nature of bistability in large gas-phase chemical networks of dens
e interstellar clouds at 10 K is examined. The dependence of bistabili
ty on the parameter zeta/n(H), the cosmic ray ionization rate divided
by the total hydrogen density, for a wide range of elemental depletion
s is investigated in detail. We confirm that bistability can exist at
steady-state for a range of zeta/n(H), but we also confirm that the ra
nge of bistability is very dependent on elemental depletions, and also
dependent on which network is utilized. In particular, bistability is
a more salient feature in the new neutral-neutral model than it is in
the new standard model. With the former model, we find that for some
gas-phase elemental abundances, the bistability range is non-existent
while for others the bistability range includes gas densities as high
as 1 10(5) cm(-3) assuming a standard value for zeta. When all of our
new neutral-neutral model results are plotted on one diagram with the
fractional electron abundance as ordinate and the parameter zeta/n(H)
as abscissa, it is found that bistability is confined to a vertical ba
nd which is narrower at small zeta/n(H) (high densities). Above and be
low the band lie the so-called ''high metal'' and ''low metal'' single
-phase results. The intermediate electron abundances at which bistabil
ity occurs are best obtained by relatively high abundances of the elem
ent sulfur because this element, unlike real metals, is a ''soft'' ion
izer; i.e., its abundance is not totally in ionized forms. We present
newly-obtained steady-state results for a variety of molecules in both
the HIP (high ionization phase) and LIP (low ionization phase) soluti
ons for a bistable model at a rather high density near 3 10(4) cm(-3)
with a standard cosmic ray ionization rate. Both the steady-state resu
lts as well as a variety of early-time results are compared with obser
vations in TMC-1 and L134N.