We present 594 radial velocity measurements for 71 white dwarfs obtained du
ring our search for binary white dwarfs and not reported elsewhere. We iden
tify three excellent candidate binaries, which require further observations
to confirm our preliminary estimates for their orbital periods, and one ot
her good candidate. We investigate whether our data support the existence o
f a population of single, low-mass (less than or similar to0.5 M-circle dot
) white dwarfs (LMWDs). These stars are difficult to explain using standard
models of stellar evolution. We find that a model with a mixed single/bina
ry population is at least similar to 20 times more likely to explain our da
ta than a pure binary population. This result depends on assumed period dis
tributions for binary LMWDs, assumed companion masses and several other fac
tors. Therefore, the evidence in favour of the existence of a population of
single LMWDs is not sufficient, in our opinion, to firmly establish the ex
istence of such a population, but does suggest that extended observations o
f LMWDs to obtain a more convincing result would be worthwhile.