Frost Point Calculator

The frost point is the temperature at which water vapor in the air deposits as frost (ice crystals) on a solid surface. It is analogous to the dewpoint but applies to sub-freezing surfaces: while the dewpoint gives the condensation temperature for liquid water, the frost point is slightly lower, reflecting the higher binding energy of the ice crystal lattice. Frost point is important for agriculture (crop freeze warnings), aviation (frost on aircraft surfaces), and road weather (black ice formation). Enter air temperature and relative humidity to calculate the dewpoint and frost point.

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Frost point formula

es(T) = 6.112 * exp(17.67*T / (T+243.5)) [liquid, hPa]
es_ice(T) = 6.1078 * exp(21.875*T / (T+265.5)) [ice, hPa]
e = (RH/100) * es(T)
Dewpoint Td: solve es(Td) = e
Frost point Tf: solve es_ice(Tf) = e

T is air temperature in Celsius, RH is relative humidity as a percentage. The actual vapor pressure e is computed from T and RH using the liquid-water Magnus formula. The frost point is then found by inverting the ice-phase saturation formula. Below 0 C, the frost point is always slightly lower than the dewpoint.

Agricultural frost thresholds

  • Light freeze (29-32 F): tender plants killed; little other damage.
  • Moderate freeze (25-28 F): wide destruction of most vegetation.
  • Severe freeze (24 F and below): heavy damage to most plants.
  • NWS frost advisory issued when frost likely (temperatures 33-36 F with clear skies and calm winds).
  • NWS freeze warning issued when temperatures expected at or below 32 F for at least 2 hours.

Frost point calculator: frequently asked questions

What is the frost point and how does it differ from the dewpoint?

The frost point is the temperature at which water vapor in the air deposits directly as ice (frost) on a surface below 0 C, without passing through the liquid phase. The dewpoint is where water vapor condenses to liquid water. Below 0 C, the saturation vapor pressure over ice is lower than over liquid water, so the frost point is slightly lower than the dewpoint for the same humidity conditions.

How is the frost point calculated?

The frost point is calculated using the saturation vapor pressure over ice. The WMO approximation uses es_ice(T) = 6.1078 * exp(21.8745584 * T / (T + 265.49)) in hPa, where T is in Celsius. Given RH and air temperature, the actual vapor pressure is e = RH/100 * es(T), and the frost point is where this equals saturation vapor pressure over ice.

At what frost point does frost form on plants?

Frost damage to plants depends on both the frost point and the exposure duration. Most tender crops are damaged when surface temperatures drop to 32 F (0 C). Hardy crops tolerate lower temperatures. Agricultural frost advisories are issued when minimum temperatures are expected to reach 33-36 F with clear skies and light winds, as radiative cooling may push surface temperatures below 32 F even if the air is warmer.

Why do roads freeze before the air temperature drops to 32 F?

Road surfaces radiate heat to the sky faster than the air above them, especially on clear nights with low humidity. The road surface can reach the frost point and drop below 32 F while the air temperature measured at 5 feet above ground is still above freezing. This is why black ice can form even when weather stations report temperatures above 32 F.

What is the difference between frost and freezing rain?

Frost forms by deposition of water vapor directly onto cold surfaces (sublimation frost) or by freezing of surface moisture. Freezing rain is supercooled liquid water that freezes on contact with surfaces below 32 F. Frost forms under calm, clear, cold conditions; freezing rain requires a warm layer aloft to melt falling snow or ice pellets, with a subfreezing surface layer.

Official sources

Reviewed by the CalculatorHub team, edited by James Graham, 15 June 2026. See our methodology.