Deformation of a fresh-water ice cover due to the capillary oscillations of underlying water

Full-scale measurements indicate that the frequencies of ice bending oscillations fall mostly into the range of 1–5 Hz. However, rarely bending oscillations may take place at about 13 Hz. Such oscillations are viewed as an intermediate between the ice bending oscillations and capillary wave oscillations on water. It is found theoretically that frequency f of the ice bending oscillations and interfacial tension coefficient $\alpha$ at the water-ice interface obey the relationship $f\sim\alpha^{-1/4}$. The proportionality factor omitted here depends on the physical properties of water and ice. Putting $f$ = 13 Hz, we, substituting the respective known quantities into this relationship, find that interfacial tension coefficient $\alpha$ equals $\alpha$ = 3.3 N/m. Thus, the interfacial tension coefficient at the water-ice interface can be estimated in this way.