Frost

Frost is a thin layer of ice on a solid surface, which forms from water vapor in an above freezing atmosphere coming in contact with a solid surface whose temperature is below freezing,[1][2] and resulting in a phase change from water vapor (a gas) to ice (a solid) as the water vapor reaches the freezing point. In temperate climates, it most commonly appears on surfaces near the ground as fragile white crystals; in cold climates, it occurs in a greater variety of forms.[3] The propagation of crystal formation occurs by the process of nucleation.

For other uses, see Frost (disambiguation).
A patch of grass showing crystalline frost in the below-freezing shade (blue, lower right); frost in the warming but still below freezing strip most recently exposed to sunlight (white, center); and a frost-free region: here, the previous frost has melted from a more prolonged exposure to sunlight (green, upper left.)

The ice crystals of frost form as the result of fractal process development. The depth of frost crystals varies depending on the amount of time they have been accumulating, and the concentration of the water vapor (humidity). Frost crystals may be invisible (black), clear (translucent), or white; if a mass of frost crystals scatters light in all directions, the coating of frost appears white.

Types of frost include crystalline frost (hoar frost or radiation frost) from deposition of water vapor from air of low humidity, white frost in humid conditions, window frost on glass surfaces, advection frost from cold wind over cold surfaces, black frost without visible ice at low temperatures and very low humidity, and rime under supercooled wet conditions.[3]

Plants that have evolved in warmer climates suffer damage when the temperature falls low enough to freeze the water in the cells that make up the plant tissue. The tissue damage resulting from this process is known as "frost damage". Farmers in those regions where frost damage is known to affect their crops often invest in substantial means to protect their crops from such damage.

Formation
Frost in the highest town in Venezuela, Apartaderos. Because of its location in an alpine tundra ecosystem called páramo, there exists a daily freeze-and-thaw cycle, sometimes described as "summer every day and winter every night."

If a solid surface is chilled below the dew point of the surrounding humid air and the surface itself is colder than freezing, ice will form on it. If the water deposits as a liquid that then freezes, it forms a coating that may look glassy, opaque, or crystalline, depending on its type. Depending on context, that process also may be called atmospheric icing. The ice it produces differs in some ways from crystalline frost, which consists of spicules of ice that typically project from the solid surface on which they grow.

The main difference between the ice coatings and frost spicules arises from the fact that the crystalline spicules grow directly from desublimation of water vapour from air, and desublimation is not a factor in icing of freezing surfaces. For desublimation to proceed the surface must be below the frost point of the air, meaning that it is sufficiently cold for ice to form without passing through the liquid phase. The air must be humid, but not sufficiently humid to permit the condensation of liquid water, or icing will result instead of desublimation. The size of the crystals depends largely on the temperature, the amount of water vapor available, and how long they have been growing undisturbed.

As a rule, except in conditions where supercooled droplets are present in the air, frost will form only if the deposition surface is colder than the surrounding air. For instance frost may be observed around cracks in cold wooden sidewalks when humid air escapes from the warmer ground beneath. Other objects on which frost commonly forms are those with low specific heat or high thermal emissivity, such as blackened metals; hence the accumulation of frost on the heads of rusty nails.

The apparently erratic occurrence of frost in adjacent localities is due partly to differences of elevation, the lower areas becoming colder on calm nights. Where static air settles above an area of ground in the absence of wind, the absorptivity and specific heat of the ground strongly influence the temperature that the trapped air attains.

Types

Hoar frost
A spider web covered in air hoar frost
Hoar frost on the snow
Depth hoar, imaged with optical (left) and scanning electron (right) microscopy

Hoar frost, also hoarfrost, radiation frost, or pruina, refers to white ice crystals deposited on the ground or loosely attached to exposed objects, such as wires or leaves.[4] They form on cold, clear nights when conditions are such that heat radiates out to the open air faster than it can be replaced from nearby sources, such as wind or warm objects. Under suitable circumstances, objects cool to below the frost point[5] of the surrounding air, well below the freezing point of water. Such freezing may be promoted by effects such as flood frost or frost pocket.[6] These occur when ground-level radiation losses cool air until it flows downhill and accumulates in pockets of very cold air in valleys and hollows. Hoar frost may freeze in such low-lying cold air even when the air temperature a few feet above ground is well above freezing.

The word hoar comes from an Old English adjective that means "showing signs of old age". In this context, it refers to the frost that makes trees and bushes look like white hair.

Hoar frost may have different names depending on where it forms:

  • Air hoar is a deposit of hoar frost on objects above the surface, such as tree branches, plant stems, and wires.
  • Surface hoar refers to fern-like ice crystals directly deposited on snow, ice or already frozen surfaces.
  • Crevasse hoar consists of crystals that form in glacial crevasses where water vapour can accumulate under calm weather conditions.
  • Depth hoar refers to faceted crystals that have slowly grown large within cavities beneath the surface of banks of dry snow. Depth hoar crystals grow continuously at the expense of neighbouring smaller crystals, so typically are visibly stepped and have faceted hollows.

When surface hoar covers sloping snowbanks, the layer of frost crystals may create an avalanche risk; when heavy layers of new snow cover the frosty surface, furry crystals standing out from the old snow hold off the falling flakes, forming a layer of voids that prevent the new snow layers from bonding strongly to the old snow beneath. Ideal conditions for hoarfrost to form on snow are cold clear nights, with very light, cold air currents conveying humidity at the right rate for growth of frost crystals. Wind that is too strong or warm destroys the furry crystals, and thereby may permit a stronger bond between the old and new snow layers. However, if the winds are strong enough and cold enough to lay the crystals flat and dry, carpeting the snow with cold, loose crystals without removing or destroying them or letting them warm up and become sticky, then the frost interface between the snow layers may still present an avalanche danger, because the texture of the frost crystals differs from the snow texture and the dry crystals will not stick to fresh snow. Such conditions still prevent a strong bond between the snow layers.[7]

In very low temperatures where fluffy surface hoar crystals form without subsequently being covered with snow, strong winds may break them off, forming a dust of ice particles and blowing them over the surface. The ice dust then may form yukimarimo, as has been observed in parts of Antarctica, in a process similar to the formation of dust bunnies and similar structures.

A flower with advection frost on the edges of its petals

Hoar frost and white frost also occurs in man-made environments such as in freezers or industrial cold storage facilities. If such cold spaces or the pipes serving them are not well insulated and are exposed to ambient humidity, the moisture will freeze instantly depending on the freezer temperature. The frost may coat pipes thickly, partly insulating them, but such inefficient insulation still is a source of heat loss.

Advection frost

Advection frost (also called wind frost) refers to tiny ice spikes that form when very cold wind is blowing over tree branches, poles, and other surfaces. It looks like rimming on the edges of flowers and leaves and usually forms against the direction of the wind. It can occur at any hour, day or night.

Window frost

Window frost (also called fern frost or ice flowers) forms when a glass pane is exposed to very cold air on the outside and warmer, moderately moist air on the inside. If the pane is not a good insulator (for example, if it is a single pane window), water vapour condenses on the glass forming frost patterns. With very low temperatures outside, frost can appear on the bottom of the window even with double pane energy efficient windows because the air convection between two panes of glass ensures that the bottom part of the glazing unit is colder than the top part. On unheated motor vehicles the frost will usually form on the outside surface of the glass first. The glass surface influences the shape of crystals, so imperfections, scratches, or dust can modify the way ice nucleates. The patterns in window frost form a fractal with a fractal dimension greater than one but less than two. This is a consequence of the nucleation process being constrained to unfold in two dimensions, unlike a snowflake which is shaped by a similar process but forms in three dimensions and has a fractal dimension greater than two.[8]

If the indoor air is very humid, rather than moderately so, water will first condense in small droplets and then freeze into clear ice.

Similar patterns of freezing may occur on other smooth vertical surfaces, but they seldom are as obvious or spectacular as on clear glass.

White frost

White frost is a solid deposition of ice that forms directly from water vapour contained in air.

White frost forms when there is a relative humidity above 90% and a temperature below −8 °C (18 °F) and it grows against the wind direction, since air arriving from windward has a higher humidity than leeward air, but the wind must not be strong or it damages the delicate icy structures as they begin to form. White frost resembles a heavy coating of hoar frost with big, interlocking crystals, usually needle-shaped.

Rime
Main article: Rime ice

Rime is a type of ice deposition that occurs quickly, often under heavily humid and windy conditions.[9] Technically speaking, it is not a type of frost, since usually supercooled water drops are involved, in contrast to the formation of hoar frost, in which water vapour desublimates slowly and directly. Ships travelling through Arctic seas may accumulate large quantities of rime on the rigging. Unlike hoar frost, which has a feathery appearance, rime generally has an icy, solid appearance.

Black frost

Black frost (or "killing frost") is not strictly speaking frost at all, because it is the condition seen in crops when the humidity is too low for frost to form, but the temperature falls so low that plant tissues freeze and die, becoming blackened, hence the term "black frost". Black frost often is called "killing frost" because white frost tends to be less cold, partly because the latent heat of freezing of the water reduces the temperature drop.

Effect on plants

Damage
Frost on the grass of a public park in November.

Many plants can be damaged or killed by freezing temperatures or frost. This varies with the type of plant, the tissue exposed, and how low temperatures get: a "light frost" of −2 to 0 °C (28 to 32 °F) will damage fewer types of plants than a "hard frost" below −2 °C (28 °F).[10]

Plants likely to be damaged even by a light frost include vines—such as beans, grapes, squashes, melons—along with nightshades such as tomatoes, eggplants and peppers. Plants that may tolerate (or even benefit) from frosts include:[11]

  • root vegetables (e.g. beets, carrots, parsnips, onions)
  • leafy greens (e.g. lettuces, spinach, chard, cucumber[12])
  • cruciferous vegetables (e.g. cabbages, cauliflower, bok choy, broccoli, Brussels sprouts, radishes, kale, collard, mustard, turnips, rutabagas)

Even those plants that tolerate frost may be damaged once temperatures drop even lower (below −4 °C or 25 °F).[10] Hardy perennials, such as Hosta, become dormant after the first frosts and regrow when spring arrives. The entire visible plant may turn completely brown until the spring warmth, or may drop all of its leaves and flowers, leaving the stem and stalk only. Evergreen plants, such as pine trees, withstand frost although all or most growth stops. Frost crack is a bark defect caused by a combination of low temperatures and heat from the winter sun.

Vegetation is not necessarily damaged when leaf temperatures drop below the freezing point of their cell contents. In the absence of a site nucleating the formation of ice crystals, the leaves remain in a supercooled liquid state, safely reaching temperatures of −4 to −12 °C (25 to 10 °F). However, once frost forms, the leaf cells may be damaged by sharp ice crystals. Hardening is the process by which a plant becomes tolerant to low temperatures. See also Cryobiology.

Certain bacteria, notably Pseudomonas syringae, are particularly effective at triggering frost formation, raising the nucleation temperature to about −2 °C (28 °F).[13] Bacteria lacking ice nucleation-active proteins (ice-minus bacteria) result in greatly reduced frost damage.[14]

Protection methods
Roses with protection against frost - Volksgarten, Vienna
Curitiba (Southern Brazil) is the coldest of Brazil's state capitals; the greenhouse of the Botanical Garden of Curitiba protects sensitive plants.

Typical measures to prevent frost or reduce its severity include one or more of:

  • deploying powerful blowers to simulate wind, thereby preventing the formation of accumulations of cold air. There are variations on this theme. One variety is the wind machine, an engine-driven propellor mounted on a vertical pole that blows air almost horizontally. Wind machines were introduced as a method for frost protection in California during the 1920s. However, they were not widely accepted until the 1940s and 1950s. Now they are commonly used in many parts of the world.[15] Another is the selective inverted sink[16], a device which prevents frost by drawing cold air from the ground and blowing it up through a chimney. It was originally developed to prevent frost damage to citrus fruits in Uruguay. In New Zealand, helicopters are used in similar fashion, especially in the vineyard regions like Marlborough. By dragging down warmer air from the inversion layers, and preventing the ponding of colder air on the ground, the low-flying helicopters prevent damage to the fruit buds. As the operations are conducted at night, and have in the past involved up to 130 aircraft per night in one region, safety rules are strict.[17] Although not a dedicated method, wind turbines have similar (small) effect of vertically mixing air layers of different temperature.[18][19][20]
  • for high-value crops, farmers may wrap trees and cover crops.
  • heating to slow the drop in temperature. This is not practical except for high value crops grown over small areas.
  • production of smoke to reduce cooling by radiation
  • spraying crops with a layer of water that releases latent heat, preventing harmful freezing of the tissues of the plants that it coats.

Such measures need to be applied with discretion, because they may do more harm than good; for example, spraying crops with water can cause damage if the plants become overburdened with ice. An effective low cost method for small crop farms and plant nurseries, exploits the latent heat of freezing. A pulsed irrigation timer[21] delivers water through existing overhead sprinklers at a low volumes to combat frosts down to −5 °C (23 °F).[21][22] If the water freezes it giving off its latent heat, preventing the temperature of the foliage from falling much below zero.[22]

Frost-free areas

Frost-free areas are found mainly in the tropics, where they cover almost all land except at altitudes above about 3,000 metres or 9,800 feet near the equator and around 2,000 metres or 6,600 feet in the semi-arid middle tropics, but also in areas with subtropical climates that have winters tempered by strong oceanic influences. The most poleward frost-free areas are the lower altitudes of the Azores, Île Amsterdam, Île Saint-Paul, and Tristan da Cunha.

The only reliably frost-free areas in the contiguous United States are the Florida Keys and the coastal areas of the Channel Islands of California. The hardiness zones there are 11a and 11b.

Personifications
Further information: Ded Moroz and Father Frost (fairy tale)

Frost is personified in Russian culture as Ded Moroz. Indigenous peoples of Russia such as the Mordvins have their own traditions of frost deities.

English folklore tradition holds that Jack Frost, an elfish creature, is responsible for feathery patterns of frost found on windows on cold mornings.

  • Frost
  • Frost on a nettle
  • Large feathery crystals
  • Fern frost on a window
  • Window frost
  • Frost on plant leaves in the Himalayas
  • Surface hoar in Alaska
  • Frost on Birch Tree in Stockholm
  • Frost on grass in Ranu Pani, East Java, Indonesia
  • Frost on birch stem in Norway
  • Frost on grass in Sydney
  • An oak leaf with frost in Sweden
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See also

References
  1. "Frost – Definition of frost by Merriam-Webster". merriam-webster.com. Archived from the original on 2015-05-11.
  2. "What causes frost?". Archived from the original on 2007-12-10. Retrieved 2007-12-05.
  3. John E. Oliver (1 January 2005). The Encyclopedia of World Climatology. Springer Science & Business Media. pp. 382–. ISBN 978-1-4020-3264-6. Archived from the original on 8 May 2016.
  4. "Hoarfrost – Definition of hoarfrost by Merriam-Webster". merriam-webster.com. Archived from the original on 2015-02-19.
  5. Louisiana State University Baton Rouge Robert V Rohli; Robert V. Rohli; Anthony J. Vega (13 December 2013). Climatology. Jones & Bartlett Publishers. pp. 381–. ISBN 978-1-284-05427-9. Archived from the original on 19 May 2016.
  6. "Weather Facts: Frost hollow – Weather UK – weatheronline.co.uk". weatheronline.co.uk. Archived from the original on 2013-02-12.
  7. David McClung; Peter A. Schaerer (2006). The Avalanche Handbook. The Mountaineers Books. pp. 72–. ISBN 978-0-89886-809-8. Archived from the original on 2016-05-06.
  8. West, Bruce; Mauro Bologna (2003). Physics of Fractal Operators. Paolo Grigolini. Springer. p. 46. ISBN 978-0-387-95554-4.
  9. "Rime – Definition of rime by Merriam-Webster". merriam-webster.com. Archived from the original on 2015-05-01.
  10. "Frost Tolerance of Vegetables". Botanical Interests. Archived from the original on 2013-11-13. Retrieved Nov 12, 2013.
  11. "Fall vegetables vs. Summer vegetables". Archived from the original on 2013-11-13.
  12. Klosinska, Urszula; et al. (27 February 2014), "Low temperature seed germination of cucumber: genetic basis of the tolerance trait", Journal of Horticultural Research, de Gruyter, 21 (2): 125–130, doi:10.2478/johr-2013-0031, archived from the original on 11 June 2014, retrieved 2014-02-28
  13. Maki LR, Galyan EL, Chang-Chien MM, Caldwell DR (1974). "Ice Nucleation Induced by Pseudomonas syringae". Applied Microbiology. 28 (3): 456–459. doi:10.1128/aem.28.3.456-459.1974. PMC 186742. PMID 4371331.
  14. Lindow, Stephen E.; Deane C. Arny; Christen D. Upper (October 1982). "Bacterial Ice Nucleation: A Factor in Frost Injury to Plants". Plant Physiology. 70 (4): 1084–1089. doi:10.1104/pp.70.4.1084. PMC 1065830. PMID 16662618.
  15. wind machine references: http://www.fao.org/3/y7223e/y7223e0d.htm ; https://extension.psu.edu/orchard-frost-protection-with-wind-machines ; http://www.omafra.gov.on.ca/english/engineer/facts/10-045.htm ;
  16. Selective Inverted Sink Archived 2006-03-18 at the Wayback Machine Rolex Awards site (won award in Technology and Innovation category) 1998.
  17. Helicopters Fight Frost – Vector, Civil Aviation Authority of New Zealand, September/ October 2008, Page 8-9
  18. Turbines and turbulence Archived 2011-12-01 at the Wayback Machine, Nature (journal), 468, 1001, 23 December 2010, DOI:10.1038/4681001a, published online 22 December 2010.
  19. Somnath Baidya Roy and Justin J. Traiteur. Impacts of wind farms on surface air temperatures, Proceedings of the National Academy of Sciences, Vol. 107, No. 42, October 19, 2010, p. 17,899.
  20. Wind farms impacting weather Archived 2010-09-06 at the Wayback Machine, Science Daily.
  21. "A practical method of frost protection". Archived from the original on 20 March 2012. Retrieved 31 October 2011.
  22. Selders, Arthur W. "Frost protection with sprinkler irrigation" (PDF). West Virginia university. Archived from the original (PDF) on 14 November 2011. Retrieved 31 October 2011.
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