We present and discuss a set of systematic measurements, carried out with g
aseous proportional micro-pattern detectors, in order to assess their maxim
um gain when irradiated with high-rate soft X-rays and heavily ionizing alp
ha particles. The inventory of detectors tested includes: micro-strips, mic
romegas, micro-dot, gas electron multiplier, CAT (compteur a trous), trench
(or groove), micro-CAT (or WELL) detectors, as well as systems with two el
ements of gaseous amplification in cascade. We confirm the general trend of
all single-stage detectors to follow Raether's criterion, i.e. a spontaneo
us transition from avalanche to streamer, followed by a discharge, when the
avalanche size reaches a value of a few 10(7); a noticeable exception is t
he micro-dot counter holding more than 10(8). In multiple structures, where
the gain is shared between two devices in cascade, the maximum overall gai
n under irradiation is increased by at least one order of magnitude; we spe
culate this to be a consequence of a voltage dependence of Raether's limit,
larger for low operating potentials. Our conclusion is that only multiple
devices can guarantee a sufficient margin of reliability for operation in h
arsh LHC running conditions. (C) 1999 Elsevier Science B.V. All rights rese
rved.