phenomenon

water phase behavior

Anomalous properties and phase transitions of water under various conditions.
32 related articles · 2 formulas

Description

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.

History

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.

How it works

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.

In practice

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.

Fun fact

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.

Concept graph →

Formulas

$$\Delta T = -\frac{T}{C_p} \left( \frac{\partial S}{\partial P} \right)_T \Delta P$$
Temperature change under adiabatic pressure variation.
What is in the formula
ΔTvariabletemperature change — temperature kelvin
Tvariableabsolute temperature — temperature kelvin
C_pvariableheat capacity at constant pressure — heat capacity joule per kelvin
Svariableentropy — entropy joule per kelvin
ΔPvariablepressure change — pressure pascal
∂/∂Poperatorpartial derivative with respect to pressure at constant temperature — partial derivative
δt_{ad}=-\frac{t}{c_p}(\frac{\partials}{\partialp})_tδp · 2606.25742
$$v_A = \frac{B}{\sqrt{4\pi \rho}}$$
Speed of transverse magnetohydrodynamic waves.
What is in the formula
v_AvariableAlfvén wave speed — velocity metre per second
Bvariablemagnetic field strength — magnetic field strength tesla
ρvariablemass density — mass density kilogram per cubic metre
v_a=\frac{b}{\sqrt{4πn_pm_p}} · 2606.07838v1

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