The effect of an axial magnetic field on the structure of the positive colu
mn at low pressures is examined in situations where negative ions are prese
nt and where they may dominate in density over electrons. In particular, wh
en the electrons are magnetized to the extent that their cross-field mobili
ty is severely reduced and their effective mass is greater than that of the
negative ions the structure of the discharge becomes quite different from
the conventional Langmuir-Tonks description at low pressures or the Schottk
y one at medium pressures.
The results of computations in both plane and cylindrical geometries are gi
ven, demonstrating that in such circumstances the negative ion density incr
eases towards the outer boundary. This has been carried through for paramet
ers appropriate to discharges where the dominant processes for negative ion
s are attachment-detachment, for example O-2, and also attachment-recombina
tion, for example CCl4.
Experimental results in CF4 which simulated the present work are consistent
with the general conclusions. Furthermore, the nature and relevance of the
Bohm criterion for sheath formation is examined, with the conclusion that
at moderately strong magnetic fields it is no longer of significance becaus
e other criteria take over.