
Anomalous properties and phase transitions of water under various conditions.Water's phase behavior is famously anomalous: unlike most substances, its solid form (ice) is less dense than its liquid form, and its density peaks at 4°C rather than at the freezing point. These anomalies arise from the unique hydrogen-bonding network that water molecules form, which can arrange into open, crystalline structures when freezing. Under different pressures and temperatures, water exhibits at least 18 known crystalline phases and several amorphous forms, each with distinct properties.
The anomalous expansion of water was first documented by the French physicist Jacques Alexandre César Charles in 1787, and the phase diagram of ice has been studied extensively since the early 20th century, with new phases still being discovered.
Water molecules are polar, with a partial positive charge on hydrogen atoms and a partial negative charge on oxygen. This allows each molecule to form up to four hydrogen bonds with neighbors, creating a dynamic, tetrahedral network. When cooled, the molecules arrange into a more open hexagonal lattice (ice Ih), which takes up more volume than the liquid. Pressure can force water into denser ice phases, while extreme cold can create amorphous glasses with no long-range order.
Understanding water's phase behavior is critical for climate modeling, cryopreservation of biological tissues, and designing materials that resist ice formation, such as aircraft de-icing systems.
Water can remain liquid down to -48°C if cooled carefully without impurities, a phenomenon called supercooling, and it can even form a glassy state at very low temperatures without crystallizing.
| ΔT | variable | temperature change — temperature kelvin |
| T | variable | absolute temperature — temperature kelvin |
| C_p | variable | heat capacity at constant pressure — heat capacity joule per kelvin |
| S | variable | entropy — entropy joule per kelvin |
| ΔP | variable | pressure change — pressure pascal |
| ∂/∂P | operator | partial derivative with respect to pressure at constant temperature — partial derivative |
| v_A | variable | Alfvén wave speed — velocity metre per second |
| B | variable | magnetic field strength — magnetic field strength tesla |
| ρ | variable | mass density — mass density kilogram per cubic metre |
























