Most of ice's heat-removing capability comes from its so-called latent heat of fusion.
The latent heat of fusion is treated within the function defining specific heat.
These materials have melting points above room temperature where they would absorb significant energy due to their heat of fusion.
Measurements were also made to determine the triple-point temperature and heat of fusion of a solid sample near its triple point.
heat of fusion in Science
heat of fusion The amount of heat required to convert a solid at its melting point into a liquid without an increase in temperature. Liquids release the same amount of heat when they solidify. See also heat of vaporization.