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Allotropy

Property of some chemical elements to exist in two or more different forms

Allotropy

Summary

Property of some chemical elements to exist in two or more different forms

[[Diamond]] and [[graphite]] are two allotropes of carbon: pure forms of the same element that differ in crystalline structure.

Allotropy or allotropism () is the property of some chemical elements 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 atoms of the element are bonded together in different manners. For example, the allotropes of carbon include diamond (the carbon atoms are bonded together to form a cubic lattice of tetrahedra), graphite (the carbon atoms are bonded together in sheets of a hexagonal lattice), graphene (single sheets of graphite), and fullerenes (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, i.e. plasmas, gases, liquids, or solids). 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 (dioxygen, O2, and ozone, O3) can both exist in the solid, liquid and gaseous states. Other elements do not maintain distinct allotropes in different physical phases; for example, phosphorus 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., the word isomer] is also well suited to express the relation between formic acid ethyl oxide [i.e., ethyl formate] and acetic acid methyloxide [i.e., methyl acetate], then it [i.e., the word isomers] is not suitable for different conditions of simple substances, where these [substances] transform to have different properties, and [therefore the word isomers] 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., the word isomer] 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 word isomer] 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, Ostwald 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.

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., pressure, light, and temperature. Therefore, the stability of the particular allotropes depends on particular conditions. For instance, iron changes from a body-centered cubic structure (ferrite) to a face-centered cubic structure (austenite) above 906 °C, and tin undergoes a modification known as tin pest from a metallic form to a semimetallic 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 oxidation states tend to exhibit greater numbers of allotropic forms. Another contributing factor is the ability of an element to catenate.

Examples of allotropes include:

Non-metals

ElementAllotropes
Carbon
Nitrogen
Phosphorus
Oxygen
Sulfur
Selenium
Spin isomers of hydrogen

Metalloids

ElementAllotropes
Boron
Silicon
Germanium
Arsenic
Antimony
Tellurium

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 phase transitions 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.

ElementPhase name(s)Space groupPearson symbolStructure typeDescription
Lithiumα-LiRmhR9α-SmForms below 70 K.
β-LiImmcI2WStable at room temperature and pressure.
FmmcF4CuForms above 7GPa
RmhR1α-HgAn intermediate phase formed ~40GPa.
I3dcI16last1=Hanflandfirst1=M.last2=Syassenfirst2=K.last3=Christensenfirst3=N. E.last4=Novikovfirst4=D. L.title=New high-pressure phases of lithiumjournal=Naturepublisher=Springer Science and Business Media LLCvolume=408issue=6809year=2000issn=0028-0836doi=10.1038/35041515pages=174–178pmid=11089965bibcode=2000Natur.408..174Hs2cid=4303422 }}
oC88last=Degtyarevafirst=V.F.title=Potassium under pressure: Electronic origin of complex structuresjournal=Solid State Sciencesvolume=36date=2014doi=10.1016/j.solidstatesciences.2014.07.008pages=62–72arxiv=1310.4718bibcode=2014SSSci..36...62D }}
oC40Forms between 70 and 95 GPa.
oC24Forms above 95 GPa.
Berylliumα-BeP63/mmchP2MgStable at room temperature and pressure.
β-BeImmcI2WForms above 1255 °C.
Sodiumα-NaRmhR9α-SmForms below 20 K.
β-NaImmcI2WStable at room temperature and pressure.
FmmcF4CuForms at room temperature above 65 GPa.
I3dcI16Forms at room temperature, 108GPa.
PnmaoP8MnPForms at room temperature, 119GPa.
tI19*A host-guest structure that forms above between 125 and 180 GPa.
hP4Forms above 180 GPa.
MagnesiumP63/mmchP2MgStable at room temperature and pressure.
ImmcI2WForms above 50 GPa.
Aluminiumα-AlFmmcF4CuStable at room temperature and pressure.
β-AlP63/mmchP2MgForms above 20.5 GPa.
PotassiumImmcI2WStable at room temperature and pressure.
FmmcF4CuForms above 11.7 GPa.
I4/mcmtI19*A host-guest structure that forms at about 20 GPa.
P63/mmchP4NiAsForms above 25 GPa.
PnmaoP8MnPForms above 58GPa.
I41/amdtI4Forms above 112 GPa.
CmcaoC16Formas above 112 GPa.
Ironα-Fe, ferriteImmcI2Body-centered cubicStable at room temperature and pressure. Ferromagnetic at T
γ-iron, austeniteFmmcF4Face-centered cubicStable from 912 to 1,394 °C.
δ-ironImmcI2Body-centered cubicStable from 1,394 – 1,538 °C, same structure as α-Fe.
ε-iron, HexaferrumP63/mmchP2Hexagonal close-packedStable at high pressures.
Cobaltα-Cobalthexagonal-close packedForms below 450 °C.
β-Cobaltface centered cubicForms above 450 °C.
ε-CobaltP4132primitive cubicForms from thermal decomposition of [Co2CO8]. Nanoallotrope.
Rubidiumα-RbImmcI2WStable at room temperature and pressure.
cF4Forms above 7 GPa.
oC52Forms above 13 GPa.
tI19*Forms above 17 GPa.
tI4Forms above 20 GPa.
oC16Forms above 48 GPa.
Tinα-tin, gray tin, tin pestFdmcF8d-CStable below 13.2 °C.
β-tin, white tinI41/amdtI4β-SnStable at room temperature and pressure.
γ-tin, rhombic tinI4/mmmtI2Inlast1=Deffrennesfirst1=Guillaumelast2=Faurefirst2=Philippelast3=Bottinfirst3=Françoislast4=Joubertfirst4=Jean-Marclast5=Oudotfirst5=Benoittitle=Tin (Sn) at high pressure: Review, X-ray diffraction, DFT calculations, and Gibbs energy modelingjournal=Journal of Alloys and Compoundsvolume=919date=2022doi=10.1016/j.jallcom.2022.165675article-number=165675arxiv=2203.16240}}
γ'-SnImmmoI2MoPt2Forms above 30 GPa.
σ-Sn, γ"-SnImmcI2Wfirst = A. M.last = Molodetsauthor2=Nabatov, S. S.title = Thermodynamic Potentials, Diagram of State, and Phase Transitions of Tin on Shock Compressionjournal = High Temperaturevolume = 38issue = 5year = 2000pages = 715–721doi = 10.1007/BF02755923bibcode=2000HTemp..38..715Ms2cid = 120417927}}
δ-SnP63/mmchP2MgForms above 157 GPa.
Stanene
Poloniumα-Poloniumsimple cubic
β-Poloniumrhombohedral

Most stable structure under standard conditions.

Structures stable below room temperature.

Structures stable above room temperature.

Structures stable above atmospheric pressure.

Lanthanides and actinides

Phase diagram of the actinide elements.
  • 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, americium, berkelium and californium have three allotropes each.

Nanoallotropes

In 2017, the concept of nanoallotropy was proposed. Nanoallotropes, or allotropes of nanomaterials, 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.

Notes

References

References

  1. "Allotrope".
  2. Jensen, W. B.. (2006). "The Origin of the Term Allotrope". J. Chem. Educ..
  3. (1888). "A New English Dictionary on Historical Principles". Oxford University Press.
  4. (1912). "Outlines of General Chemistry". Macmillan and Co., Ltd..
  5. Although many other chemists have repeated this advice, [[IUPAC]] 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.
  6. [https://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenberg-facts.html Werner Heisenberg – Facts] Nobelprize.org
  7. (July 4, 2023). "Meet Q-silicon, a new magnetic material for spintronic quantum computers".
  8. Raj, G.. "Advanced Inorganic Chemistry Vol-1". Krishna Prakashan.
  9. Overhauser, A. W.. (1984-07-02). "Crystal Structure of Lithium at 4.2 K". American Physical Society (APS).
  10. (2000). "New high-pressure phases of lithium". Springer Science and Business Media LLC.
  11. Degtyareva, V.F.. (2014). "Potassium under pressure: Electronic origin of complex structures". Solid State Sciences.
  12. (2002-05-13). "Sodium under pressure: bcc to fcc structural transition and pressure-volume relation to 100 GPa". American Physical Society (APS).
  13. (2007-10-18). "Structure of sodium above 100 GPa by single-crystal x-ray diffraction". Proceedings of the National Academy of Sciences.
  14. (2008-05-23). "Structural Diversity of Sodium". American Association for the Advancement of Science (AAAS).
  15. (1985-04-01). "High-pressure structural phase transition in Mg". American Physical Society (APS).
  16. (8 July 2010). "Electronic and magnetic structure of bulk cobalt: The α, β, and ε-phases from density functional theory calculations". The Journal of Chemical Physics.
  17. (2022). "Tin (Sn) at high pressure: Review, X-ray diffraction, DFT calculations, and Gibbs energy modeling". Journal of Alloys and Compounds.
  18. Molodets, A. M.. (2000). "Thermodynamic Potentials, Diagram of State, and Phase Transitions of Tin on Shock Compression". High Temperature.
  19. (1985). "Delocalisation of 5f electrons in curium metal under high pressure". Journal of Physics F: Metal Physics.
  20. (2017-10-27). "Tunable porous nanoallotropes prepared by post-assembly etching of binary nanoparticle superlattices". Science.
  21. "Materials That Don't Exist in Nature Might Lead to New Fabrication Techniques".
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