  We present an analysis of the iron abundance in the hot gas surrounding
galaxy groups and clusters. To do this, we first compile and homogenise a large
dataset of 79 low-redshift (|z| = 0.03) systems (159 individual measurements)
from the literature. Our analysis accounts for differences in aperture size,
solar abundance, and cosmology, and scales all measurements using customised
radial profiles for the temperature (T), gas density, and iron abundance (Z).
We then compare this dataset to groups and clusters in the L-Galaxies galaxy
evolution model.
  Our homogenised dataset reveals a tight T-Z relation for clusters, with a
scatter in Z of only 0.10 dex and a slight negative gradient. After examining
potential measurement biases, we conclude that at least some of this negative
gradient has a physical origin. Our model suggests greater accretion of
hydrogen in the hottest systems, via stripping of gas from infalling
satellites, as a cause. At lower temperatures, L-Galaxies over-estimates Z in
groups, indicating that metal-rich gas removal (via e.g. AGN feedback) is
required.
  L-Galaxies provides a reasonable match to the observed Z in the intracluster
medium (ICM) of the hottest clusters from at least z ~ 1.3 to 0.3. This is
achieved without needing to modify any of the galactic chemical evolution (GCE)
model parameters. However, the Z in intermediate-temperature clusters appears
to be under-estimated in our model at z = 0. The merits and problems with
modifying the GCE modelling to correct this are discussed.

Astrophysics of Galaxies;Cosmology and Nongalactic Astrophysics;High Energy Astrophysical Phenomena