Pendulum suspensions for laser interferometer gravitational wave detec
tors need to have an extremely high Q factor to minimize Brownian moti
on noise. In this paper we analyze the limits to the Q factor of the c
ompound pendulum. We show that the observed acoustic loss of niobium c
an allow pendulum Q factors of 10(10) to be achieved. This should enab
le a 3 km terrestrial laser interferometer detector to achieve strain
sensitivity of 10(-22)/square-root Hz at frequencies as low as 10 Hz.
At cryogenic temperatures Q factors up to 10(12) should be achievable.