Continuous symmetry measures are proposed as mathematical tools to qua
ntify the extent of cluster symmetry as a function of temperature. In
particular, the continuous variation of symmetry as a function of temp
erature is suggested as a structural criterion for the follow-up of me
lting in computational studies of clusters. Numerical tests are presen
ted for the (ortho-D-2)(13) cluster. A thermal distribution of configu
rations for this cluster was obtained using the path integral Monte Ca
rlo technique. The continuous symmetry measure selected to follow the
structural changes of these nearly icosahedral structures was the degr
ee of centrosymmetricity. It is found to have some conceptual advantag
es and better numerical properties in comparison with the standard roo
t mean square fluctuations in the intermolecular distance, commonly ap
plied as a criterion of cluster melting.