  Context. Mars-crossing asteroids (MCs) are a dynamically unstable group
between the main belt and the near-Earth populations. Characterising the
physical properties of a large sample of MCs can help to understand the
original sources of many near-Earth asteroids, some of which may produce
meteorites on Earth. Aims. Our aim is to provide diameters and albedos of MCs
with available WISE/NEOWISE data. Methods. We used the near-Earth asteroid
thermal model to find the best-fitting values of equivalent diameter and,
whenever possible, the infrared beaming parameter. With the diameter and
tabulated asteroid absolute magnitudes we also computed the visible geometric
albedos. Results. We determined the diameters and beaming parameters of 404
objects observed during the fully cryogenic phase of the WISE mission, most of
which have not been published elsewhere. We also obtained 1572 diameters from
data from the 3-Band and posterior non-cryogenic phases using a default value
of beaming parameter. The average beaming parameter is 1.2 +/- 0.2 for objects
smaller than 10 km, which constitute most of our sample. This is higher than
the typical value of 1.0 found for the whole main belt and is possibly related
to the fact that WISE is able to observe many more small objects at shorter
heliocentric distances, i.e. at higher phase angles. We argue that this is a
better default value for modelling Mars-crossing asteroids from the
WISE/NEOWISE catalogue and discuss the effects of this choice on the diameter
and albedo distributions. We find a double-peaked distribution for the visible
geometric albedos, which is expected since this population is compositionally
diverse and includes objects in the major spectral complexes. However, the
distribution of beaming parameters is homogeneous for both low- and high-albedo
objects.
