Complex anion structures ((AlF4)(-), (AlF5)(2-) and (AlF6)(3-)) coexist in
liquid mixtures of aluminium trifluoride and alkali fluorides in compositio
n-dependent relative concentrations and are known to interact with the alka
li counterions. We present a comparative study of the static and vibrationa
l structures of MAlF4 molecules (with M = any alkali), with the aim of deve
loping and testing a refined model of the ionic interactions for applicatio
ns to the M-Al fluoride mixtures. We find that, whereas an edge-bridged coo
rdination is strongly favoured for Li in LiAlF4, edge-bridging and face-bri
dging of the alkali ion become energetically equivalent as one moves from N
a to the heavier alkalis. This result is sensitive to the inclusion of alka
li polarizability and may be interpreted as implying (for M = K, Rb or Cs)
almost free relative rotations of the M+ and (AlF4)(-) partners at temperat
ures of relevance to experiment. The consistency of such a viewpoint with e
lectron diffraction data on vapours and with Raman spectra on melts is disc
ussed.