W. Biel et al., DETERMINATION OF ATOMIC AND MOLECULAR-PARTICLE DENSITIES AND TEMPERATURES IN A LOW-PRESSURE HYDROGEN HOLLOW-CATHODE DISCHARGE, Plasma physics and controlled fusion, 39(5), 1997, pp. 661-681
Atomic (H) and molecular (H-2) hydrogen densities and temperatures hav
e been determined in a magnetized hollow cathode are plasma burning at
low pressure (p = 4-40 Pa). Rayleigh scattering measurements are used
to derive the sum of atomic and molecular densities, each weighted wi
th its scattering cross section. Coherent anti-Stokes Raman scattering
(CARS) has been used to determine the population density differences
of rovibrational molecular H-2 states n(H2) (v, J) - n(H2)(v + 1, J).
The CARS intensity of many rotational states (J less than or equal to
9) of H-2 can be detected and these levels are found to be populated a
ccording to a Boltzmann distribution. In the low-pressure plasma only
the fundamental vibrational band of H-2 can be found experimentally ow
ing to the low particle densities. In order to evaluate the H-2 densit
y properly from the measured CARS data, the H-2 vibrational population
for v > 0 is calculated from a spatially one-dimensional diffusion re
action model. Within the plasma centre the dissociation degree d = n(H
)/(n(H) + 2n(H2)) approximate to 0.4 and about one third of the molecu
lar hydrogen is found in vibrationally excited states. Here, the vibra
tional temperature is about T-vib approximate to 5000 K, which far exc
eeds the gas temperature of T-gas approximate to 1000-3000 K. The diss
ociation degree and the vibrational distribution are mainly determined
by electron-impact processes in the inner plasma region and recycling
processes at the vessel walls, whereas the influence of inelastic neu
tral-neutral collisions is rather marginal.