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Allotropy or allotropism () is the property of some to exist in two or more different forms, in the same physical state, known as allotropes of the elements. Allotropes are different structural modifications of an element: the of the element are together in different manners. For example, the allotropes of carbon include (the carbon atoms are bonded together to form a cubic lattice of tetrahedra), (the carbon atoms are bonded together in sheets of a hexagonal lattice), (single sheets of graphite), and (the carbon atoms are bonded together in spherical, tubular, or ellipsoidal formations).

The term allotropy is used for elements only, not for compounds. The more general term, used for any compound, is polymorphism, although its use is usually restricted to solid materials such as crystals. Allotropy refers only to different forms of an element within the same physical phase (the state of matter, such as a , or ). The differences between these states of matter would not alone constitute examples of allotropy. Allotropes of chemical elements are frequently referred to as polymorphs or as phases of the element.

For some elements, allotropes have different molecular formulae or different crystalline structures, as well as a difference in physical phase; for example, two allotropes of oxygen (, O2, and , O3) can both exist in the solid, liquid and gaseous states. Other elements do not maintain distinct allotropes in different physical phases; for example, has numerous solid allotropes, which all revert to the same P4 form when melted to the liquid state.


History
The concept of allotropy was originally proposed in 1840 by the Swedish scientist Baron Jöns Jakob Berzelius (1779–1848).See:
  • From p. 14: "Om det ock passar väl för att uttrycka förhållandet emellan myrsyrad ethyloxid och ättiksyrad methyloxid, så är det icke passande för de olika tillstånd hos de enkla kropparne, hvari dessa blifva af skiljaktiga egenskaper, och torde för dem böra ersättas af en bättre vald benämning, t. ex. Allotropi (af αλλότροπος , som betyder: af olika beskaffenhet) eller allotropiskt tillstånd ." (If it i.e., is also well suited to express the relation between formic acid ethyl oxide i.e., and acetic acid methyloxide i.e.,, then it i.e., is not suitable for different conditions of simple substances, where these substances transform to have different properties, and therefore should be replaced, in their case, by a better chosen name; for example, Allotropy (from αλλότροπος, which means: of different nature) or allotropic condition.)
  • Republished in German: From p. 13: "Wenn es sich auch noch gut eignet, um das Verhältniss zwischen ameisensaurem Äthyloxyd und essigsaurem Methyloxyd auszudrücken, so ist es nicht passend für ungleiche Zustände bei Körpern, in welchen diese verschiedene Eigenschaften annehmen, und dürfte für diese durch eine besser gewählte Benennung zu ersetzen sein, z. B. durch Allotropie (von αλλότροπος , welches bedeutet: von ungleicher Beschaffenheit), oder durch allotropischen Zustand ." (Even if it i.e., is still well suited to express the relation between ethyl formate and methyl acetate, then it is not appropriate for the distinct conditions in the case of substances where these substances assume different properties, and for these, the may be replaced with a better chosen designation, e.g., with Allotropy (from αλλότροπος, which means: of distinct character), or with allotropic condition.)
  • Merriam-Webster online dictionary: Allotropy. The term is derived .. After the acceptance of Avogadro's hypothesis in 1860, it was understood that elements could exist as polyatomic molecules, and two allotropes of oxygen were recognized as O2 and O3. In the early 20th century, it was recognized that other cases such as carbon were due to differences in crystal structure.

By 1912, noted that the allotropy of elements is just a special case of the phenomenon of polymorphism known for compounds, and proposed that the terms allotrope and allotropy be abandoned and replaced by polymorph and polymorphism. From p. 104: "Substances are known which exist not only in two, but even in three, four or five different solid forms; no limitation to the number is known to exist. Such substances are called polymorphous. The name allotropy is commonly employed in the same connexion, especially when the substance is an element. There is no real reason for making this distinction, and it is preferable to allow the second less common name to die out." Although many other chemists have repeated this advice, and most chemistry texts still favour the usage of allotrope and allotropy for elements only.Jensen 2006, citing Addison, W. E. The Allotropy of the Elements (Elsevier 1964) that many have repeated this advice.


Differences in properties of an element's allotropes
Allotropes are different structural forms of the same element and can exhibit quite different physical properties and chemical behaviours. The change between allotropic forms is triggered by the same forces that affect other structures, i.e., , , and . Therefore, the stability of the particular allotropes depends on particular conditions. For instance, changes from a body-centered cubic structure (ferrite) to a face-centered cubic structure () above 906 °C, and undergoes a modification known as from a form to a form below 13.2 °C (55.8 °F). As an example of allotropes having different chemical behaviour, ozone (O3) is a much stronger oxidizing agent than dioxygen (O2).


List of allotropes
Typically, elements capable of variable coordination number and/or tend to exhibit greater numbers of allotropic forms. Another contributing factor is the ability of an element to .

Examples of allotropes include:


Non-metals
Carbon
  • – an extremely hard, transparent crystal, with the carbon atoms arranged in a tetrahedral lattice. A poor electrical conductor. An excellent thermal conductor.
  • – also called hexagonal diamond.
  • – is the basic structural element of other allotropes, nanotubes, charcoal, and fullerenes.
  • – a ferromagnetic, tough, and brilliant crystal structure that is harder and brighter than diamonds.
  • – a semimetallic, soft, black, flaky solid, a good electrical conductor. The C atoms are bonded in flat hexagonal lattices (), which are then layered in sheets.
  • Linear acetylenic carbon (carbyne)
  • , including buckminsterfullerene, also known as "buckyballs", such as C60.
  • – allotropes having a cylindrical nanostructure.
  • Schwarzites
  • Superdense carbon allotropes – proposed allotropes
Phosphorus
  • – crystalline solid of tetraphosphorus (P4) molecules
  • solid
  • Scarlet phosphorus
  • Violet phosphorus with crystalline structure
  • Black phosphorus – semiconductor, analogous to graphite
  • – gaseous form composed of P2 molecules, stable between 1200 °C and 2000 °C; created e.g. by dissociation of P4 molecules of white phosphorus at around 827 °C
Oxygen
Sulfur
  • Cyclo-Pentasulfur, Cyclo-S5
  • Cyclo-Hexasulfur, Cyclo-S6
  • Cyclo-Heptasulfur, Cyclo-S7
  • Cyclo-Octasulfur, Cyclo-S8
Selenium
  • "Red selenium", cyclo-Se8
  • Gray selenium, polymeric Se
  • Black selenium, irregular polymeric rings up to 1000 atoms long
  • Monoclinic selenium, dark red transparent crystals
Spin isomers of hydrogen
  • Orthohydrogen, H2 with nuclear spins aligned parallel
  • Parahydrogen, H2 with nuclear spins aligned antiparallel
These nuclear spin isomers have sometimes been described as allotropes, notably by the committee which awarded the 1932 Nobel prize to Werner Heisenberg for quantum mechanics and singled out the "allotropic forms of hydrogen" as its most notable application. Werner Heisenberg – Facts Nobelprize.org


Metalloids
Boron
  • Amorphous boron – brown powder – B12 regular icosahedra
  • α-rhombohedral boron
  • β-rhombohedral boron
  • γ-orthorhombic boron
  • α-tetragonal boron
  • β-tetragonal boron
  • High-pressure superconducting phase
Silicon
  • Amorphous silicon
  • α-silicon, a semiconductor, structure
  • β-silicon - metallic, with the BCC similar to and beta- (High Pressure Phase)
  • Q-Silicon - a ferromagnetic (Similar to Q-Carbon) and highly conductive phase of silicon (similar to graphite)
  • Silicene, buckled planar single layer Silicon, similar to Graphene
Germanium
  • Amorphous germanium
  • α-germanium – semimetallic element or semiconductor, with the same structure as diamond (similar chemical properties with sulfur and silicon)
  • β-germanium – metallic, with the same structure as beta-tin
  • Germanene – Buckled planar Germanium, similar to graphene
Arsenic
  • Yellow arsenic – molecular non-metallic As4, with the same structure as white phosphorus (Similar chemical properties with nitrogen and phosphorus)
  • Gray arsenic, polymeric As (metallic, though heavily anisotropic) (similar to aluminum and antimony in chemical properties)
  • Black arsenic – molecular and non-metallic, with the same structure as red phosphorus
Antimony
  • Blue-white antimony – stable form (metallic), with the same structure as gray arsenic (similar to arsenic in chemical properties)
  • Black antimony (non-metallic and amorphous, only stable as a thin layer)
Tellurium
  • Amorphous tellurium – gray-black or brown powder
    9788187224037, Krishna Prakashan. .
  • Crystalline tellurium – hexagonal crystalline structure (metalloid) (similar chemical properties with selenium)


Metals
Among the metallic elements that occur in nature in significant quantities (56 up to U, without Tc and Pm), almost half (27) are allotropic at ambient pressure: Li, Be, Na, Ca, Ti, Mn, Fe, Co, Sr, Y, Zr, Sn, La, Ce, Pr, Nd, Sm, Gd, Tb, Dy, Yb, Hf, Tl, Th, Pa and U. Some between allotropic forms of technologically relevant metals are those of Ti at 882 °C, Fe at 912 °C and 1,394 °C, Co at 422 °C, Zr at 863 °C, Sn at 13 °C and U at 668 °C and 776 °C.

CopperCopperIronausteniteIndiumMagnesium
Rmβ-LiImmcI2Stable at room temperature and pressure.
I3dcI16 Forms above 40GPa.
oC40 Forms between 70 and 95 GPa.
P63/mmcβ-BeImmcI2Forms above 1255 °C.
Rmβ-NaImmcI2Stable at room temperature and pressure.
PnmaoP8MnPForms at room temperature, 119GPa.
hP4 Forms above 180 GPa.
P63/mmc ImmcI2Forms above 50 GPa.
Fmmβ-AlP63/mmchP2Forms above 20.5 GPa.
Imm FmmcF4Forms above 11.7 GPa.
P63/mmchP4Forms above 25 GPa.
I41/amdtI4 Forms above 112 GPa.
ImmBody-centered cubic
ε-iron, P63/mmchP2Hexagonal close-packedStable at high pressures.
hexagonal-close packedβ-Cobalt face centered cubicForms above 450 °C.
Imm cF4 Forms above 7 GPa.
tI19* Forms above 17 GPa.
oC16 Forms above 48 GPa.
TincF8β-tin, I41/amdtI4β-SnStable at room temperature and pressure.
σ-Sn, γ"-SnImmcI2Forms above 41 GPa. Forms at very high pressure.
simple cubic

Most stable structure under standard conditions.
Structures stable below room temperature.
Structures stable above room temperature.
Structures stable above atmospheric pressure.


Lanthanides and actinides
  • Cerium, samarium, dysprosium and ytterbium have three allotropes.
  • Praseodymium, neodymium, gadolinium and terbium have two allotropes.
  • Plutonium has six distinct solid allotropes under "normal" pressures. Their densities vary within a ratio of some 4:3, which vastly complicates all kinds of work with the metal (particularly casting, machining, and storage). A seventh plutonium allotrope exists at very high pressures. The transuranium metals Np, Am, and Cm are also allotropic.
  • Promethium, , and have three allotropes each.


Nanoallotropes
In 2017, the concept of nanoallotropy was proposed. Nanoallotropes, or allotropes of , are nanoporous materials that have the same chemical composition (e.g., Au), but differ in their architecture at the nanoscale (that is, on a scale 10 to 100 times the dimensions of individual atoms). Such nanoallotropes may help create ultra-small electronic devices and find other industrial applications. The different nanoscale architectures translate into different properties, as was demonstrated for surface-enhanced Raman scattering performed on several different nanoallotropes of gold. A two-step method for generating nanoallotropes was also created.


See also
  • Polymorphism (materials science)


Notes

External links

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