Short-range order describes the tendency for some local arrangements o
f atoms to be more frequent than a random distribution of atoms would
indicate. Bond-valence theory indicates that local arrangements that c
losely obey the valence-sum rule should be more stable, and hence favo
red, over arrangements that lead to significant departures from the va
lence-sum rule. This argument should be particularly effective in pred
icting local arrangements in amphiboles because of the wide dispersion
of bond valences associated with the different heterovalent site-occu
pancies characteristic of ideal end-members of the amphibole group. Of
the amphibole end-member charge-arrangements, only tremolite, glaucop
hane, (alumino-)leakeite and ungarettiite have ordered distributions o
f cations; all other end-members involve disorder on two or more catio
n sites, affording extensive possibilities for short-range order. Here
, the most probable patterns of short-range order have been derived fo
r all monoclinic calcic, sodic-calcic and alkali amphiboles by examini
ng local bond-valence distributions and their agreement with the valen
ce-sum rule. For most structures, there is one set of patterns that ag
rees quite well with the valence-matching principle, and all other set
s of patterns show significant deviations from the valence-matching pr
inciple. For some structures, one pattern of the best set of patterns
of order deviates significantly from the valence-sum rule (e.g., tsche
rmakite), and compositions close to these end-members are rare or non-
existent. These patterns of local order will hopefully aid in the inte
rpretation of experimental data, which are affected significantly by s
hea-range order in the amphibole structure.