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Perovskite

Perovskite is a earth science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Perovskite rather than just read about it. In short: Perovskite (pronunciation: ) is an orthorhombic calcium titanium oxide mineral composed of calcium titanate (chemical formula CaTiO3). Its name is also applied to the class of compounds which have the same type of crystal structure as CaTiO3, known as the perovskite structure, which has a general chemical formula A2+B4+(X2−)3 for chalcogen (group 16) perovskites, or A1+B2+(X1−)3 for the halogen (group 17) perovskite…

Perovskite — main illustration
Perovskite — illustration

Key takeaways

  • Perovskite belongs to earth science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Perovskite to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Perovskite from memory before moving on to harder problems.

Reference excerpt

Perovskite (pronunciation: ) is an orthorhombic calcium titanium oxide mineral composed of calcium titanate (chemical formula CaTiO3). Its name is also applied to the class of compounds which have the same type of crystal structure as CaTiO3, known as the perovskite structure, which has a general chemical formula A2+B4+(X2−)3 for chalcogen (group 16) perovskites, or A1+B2+(X1−)3 for the halogen (group 17) perovskites (the kind typically found in modern photovoltaics like photodiodes and solar panels). Many different cations can be embedded in this structure, allowing the development of diverse engineered materials.

History The mineral was discovered in the Ural Mountains of Russia by Gustav Rose in 1839 and is named after Russian mineralogist Lev Perovski (1792–1856). Perovskite's notable crystal structure was first described by Victor Goldschmidt in 1926 in his work on tolerance factors. The crystal structure was later published in 1945 from X-ray diffraction data on barium titanate by Helen Dick Megaw.

Occurrence Found in the Earth's mantle, perovskite's occurrence at Khibina Massif is restricted to the silica under-saturated ultramafic rocks and foidolites, due to the instability in a paragenesis with feldspar. Perovskite occurs as small anhedral to subhedral crystals filling interstices between the rock-forming silicates. Perovskite is found in contact carbonate skarns at Magnet Cove, Arkansas, US, in altered blocks of limestone ejected from Mount Vesuvius, in chlorite and talc schist in the Urals and Switzerland, and as an accessory mineral in alkaline and mafic igneous rocks, nepheline syenite, melilitite, kimberlites and rare carbonatites. Perovskite is a common mineral in the Ca-Al-rich inclusions found in some chondritic meteorites. The stability of perovskite in igneous rocks is limited by its reaction relation with sphene. In volcanic rocks perovskite and sphene are not found together, the only exception being an etindite from Cameroon. A rare-earth-bearing variety knopite with the chemical formula (Ca,Ce,Na)(Ti,Fe)O3 is found in alkali intrusive rocks in the Kola Peninsula and near Alnö, Sweden. A niobium-bearing variety dysanalyte occurs in carbonatite near Schelingen, Kaiserstuhl, Germany.

In stars and brown dwarfs In stars and brown dwarfs the formation of perovskite grains is responsible for the depletion of titanium oxide in the photosphere. Stars with a low temperature have dominant bands of TiO in their spectrum; as the temperature gets lower for stars and brown dwarfs with an even lower mass, CaTiO3 forms and at temperatures below 2000 K TiO is undetectable. The presence of TiO is used to define the transition between cool M-dwarf stars and the colder L-dwarfs.

Physical properties

The eponymous Perovskite CaTiO3 crystallizes in the Pbnm space group (No. 62) with lattice constants a = 5.39 Å, b = 5.45 Å and c = 7.65 Å. Perovskites have a nearly cubic structure with the general formula ABO3. In this structure the A-site ion, in the center of the lattice, is usually an alkaline earth or rare-earth element. B-site ions, on the corners of the lattice, are 3d, 4d, and 5d transition metal elements. The A-site cations are in 12-fold coordination with the anions, while the B-site cations are in 6-fold coordination. A large number of metallic elements are stable in the perovskite structure if the Goldschmidt tolerance factor t is in the range of 0.75 to 1.0.

t = R A + R O 2 ( R B + R O ) , {\displaystyle t={\frac {R_{\rm {A}}+R_{\rm {O}}}{{\sqrt {2}}\left(R_{\rm {B}}+R_{\rm {O}}\right)}},}

where RA, RB and RO are the ionic radii of A and B site elements and oxygen, respectively. The stability of perovskites can be characterized with the tolerance and octahedral factors. When conditions are not fulfilled, a layered geometry for edge-sharing or face-sharing octahedra or lower B-site coordination is preferred. These are good structural bounds, but not an empirical prediction. Perovskites have sub-metallic to metallic luster, colorless streak, and cube-like structure along with imperfect cleavage and brittle tenacity. Depending on the exact compositions, colors include black, brown, gray, orange to yellow. Perovskite crystals may appear to have the cubic crystal form, but are often pseudocubic and actually crystallize in the orthorhombic system, as is the case for CaTiO3 (strontium titanate, with the larger strontium cation in the A-site, is cubic). Perovskite crystals have been mistaken for galena; however, galena has a better metallic luster, greater density, perfect cleavage and true cubic symmetry.

Perovskite derivatives

Double perovskites

Double perovskites are an important subclass of perovskite-related materials with the general chemical formula A2BB′O6, in which two chemically distinct cations occupy the B site of the perovskite lattice. Compared with simple ABO3 perovskites, the introduction of B-site ordering increases crystallographic complexity, leading to symmetry reduction, additional distortion modes, and a wider range of physical properties.

… excerpt ends here. Continue reading the full article.

Illustrations

Perovskite illustration
Perovskite: Crystal structure of perovskite CaTiO3; red=oxygen, grey=titanium, blue=calcium
Crystal structure of perovskite CaTiO3; red=oxygen, grey=titanium, blue=calcium
Perovskite: Crystal structure of a typical double perovskite: YBa2Cu3O7 (purple = Y, blue = Ba, green = Cu, red = O)
Crystal structure of a typical double perovskite: YBa2Cu3O7 (purple = Y, blue = Ba, green = Cu, red = O)
Perovskite: Structure of lead-free halide perovskite CsSnI3. Structure is similar to CaTiO3 and its space group is Pm3m. (Pink = Cs, silver = Sn, purple = I.)
Structure of lead-free halide perovskite CsSnI3. Structure is similar to CaTiO3 and its space group is Pm3m. (Pink = Cs, silver = Sn, purple = I.)

Worked examples

Example 1 — a first encounter with Perovskite

Start with the simplest possible case. Write down what Perovskite claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In earth science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Perovskite before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Perovskite ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Perovskite

In research
Perovskite appears in earth science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Perovskite in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Perovskite is common in secondary-school and first-year university syllabi. It links to neighbouring topics Calcium minerals, Minerals described in 1839, Minerals in space group 62, so understanding it makes those chapters shorter.
In everyday life
Look for Perovskite outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Perovskite in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Perovskite means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Perovskite out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Perovskite in simple terms?

Perovskite (pronunciation: ) is an orthorhombic calcium titanium oxide mineral composed of calcium titanate (chemical formula CaTiO3). Its name is also applied to the class of compounds which have the same type of crystal structure as CaTiO3, known as the perovskite structure, which has a general c…

Why does Perovskite matter?

Because it connects several earth science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Perovskite?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Perovskite.

Tags

  • Calcium minerals
  • Minerals described in 1839
  • Minerals in space group 62
  • Orthorhombic minerals
  • Oxide minerals
  • Perovskites
  • Titanium minerals

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