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Mercury cadmium telluride

Mercury cadmium telluride is a chemistry 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 Mercury cadmium telluride rather than just read about it. In short: Hg1−xCdxTe or mercury cadmium telluride (also cadmium mercury telluride, MCT, MerCad Telluride, MerCadTel, MerCaT or CMT) is a chemical compound of cadmium telluride (CdTe) and mercury telluride (HgTe) with a tunable bandgap spanning the shortwave infrared to the very long wave infrared regions. The amount of cadmium (Cd) in the alloy can be chosen so as to tune the optical absorption of the material to the desired…

Mercury cadmium telluride — main illustration
Mercury cadmium telluride — illustration

Key takeaways

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

Reference excerpt

Hg1−xCdxTe or mercury cadmium telluride (also cadmium mercury telluride, MCT, MerCad Telluride, MerCadTel, MerCaT or CMT) is a chemical compound of cadmium telluride (CdTe) and mercury telluride (HgTe) with a tunable bandgap spanning the shortwave infrared to the very long wave infrared regions. The amount of cadmium (Cd) in the alloy can be chosen so as to tune the optical absorption of the material to the desired infrared wavelength. CdTe is a semiconductor with a bandgap of approximately 1.5 eV at room temperature. HgTe is a semimetal, which means that its bandgap energy is zero. Mixing these two substances allows one to obtain any bandgap between 0 and 1.5 eV.

Properties

Physical

Hg1−xCdxTe has a zincblende structure with two interpenetrating face-centered cubic lattices offset by (1/4,1/4,1/4)ao in the primitive cell. The cations Cd and Hg are statistically mixed on the yellow sublattice while the Te anions form the grey sublattice in the image.

Electronic

The electron mobility of HgCdTe with a large Hg content is very high. Among common semiconductors used for infrared detection, only InSb and InAs surpass electron mobility of HgCdTe at room temperature. At 80 K, the electron mobility of Hg0.8Cd0.2Te can be several hundred thousand cm2/(V·s). Electrons also have a long ballistic length at this temperature; their mean free path can be several micrometres. The intrinsic carrier concentration is given by

n i ( T , x ) = ( 5.585 − 3.82 x + ( 1.753 ⋅ 10 − 3 ) T − 1.364 ⋅ 10 − 3 T ⋅ x ) ⋅ ( 10 14 ⋅ E g 3 / 4 ⋅ T 3 / 2 ⋅ e − E g 2 k T ) {\displaystyle n_{i}(T,x)=(5.585-3.82x+(1.753\cdot 10^{-3})T-1.364\cdot 10^{-3}T\cdot x)\cdot (10^{14}\cdot E_{\text{g}}^{3/4}\cdot T^{3/2}\cdot e^{\frac {-E_{\text{g}}}{2kT}})}

where k is the Boltzmann constant, q is the elementary electric charge, T is the material temperature, x is the percentage of cadmium concentration, and Eg is the bandgap given by

E g ( T , x ) = − 0.302 + 1.93 ⋅ x + ( 5.35 ⋅ 10 − 4 ) ⋅ T ⋅ ( 1 − 2 ⋅ x ) − 0.81 ⋅ x 2 + 0.832 ⋅ x 3 {\displaystyle E_{\text{g}}(T,x)=-0.302+1.93\cdot x+(5.35\cdot 10^{-4})\cdot T\cdot (1-2\cdot x)-0.81\cdot x^{2}+0.832\cdot x^{3}}

Using the relationship λ p = 1.24 E g {\displaystyle \lambda _{\text{p}}={\frac {1.24}{E_{\text{g}}}}} , where λ is in μm and Eg. is in electron volts, one can also obtain the cutoff wavelength as a function of x and t:

λ p = ( − 0.244 + 1.556 ⋅ x + ( 4.31 ⋅ 10 − 4 ) ⋅ T ⋅ ( 1 − 2 ⋅ x ) − 0.65 ⋅ x 2 + 0.671 ⋅ x 3 ) − 1 {\displaystyle \lambda _{\text{p}}=(-0.244+1.556\cdot x+(4.31\cdot 10^{-4})\cdot T\cdot (1-2\cdot x)-0.65\cdot x^{2}+0.671\cdot x^{3})^{-1}}

Minority carrier lifetime

Auger recombination Two types of Auger recombination affect HgCdTe: Auger 1 and Auger 7 recombination. Auger 1 recombination involves two electrons and one hole, where an electron and a hole combine and the remaining electron receives energy equal to or greater than the band gap. Auger 7 recombination is similar to Auger 1, but involves one electron and two holes. The Auger 1 minority carrier lifetime for intrinsic (undoped) HgCdTe is given by

… excerpt ends here. Continue reading the full article.

Illustrations

Mercury cadmium telluride: Energy gap as a function of cadmium composition.
Energy gap as a function of cadmium composition.
Mercury cadmium telluride: A zincblende unit cell
A zincblende unit cell
Mercury cadmium telluride illustration
Mercury cadmium telluride illustration

Worked examples

Example 1 — a first encounter with Mercury cadmium telluride

Start with the simplest possible case. Write down what Mercury cadmium telluride claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In chemistry, 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 Mercury cadmium telluride 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 Mercury cadmium telluride 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 Mercury cadmium telluride

In research
Mercury cadmium telluride appears in chemistry 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 Mercury cadmium telluride 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
Mercury cadmium telluride is common in secondary-school and first-year university syllabi. It links to neighbouring topics Cadmium compounds, II-VI semiconductors, Infrared sensor materials, so understanding it makes those chapters shorter.
In everyday life
Look for Mercury cadmium telluride 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 Mercury cadmium telluride in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Mercury cadmium telluride 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 Mercury cadmium telluride out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Mercury cadmium telluride in simple terms?

Hg1−xCdxTe or mercury cadmium telluride (also cadmium mercury telluride, MCT, MerCad Telluride, MerCadTel, MerCaT or CMT) is a chemical compound of cadmium telluride (CdTe) and mercury telluride (HgTe) with a tunable bandgap spanning the shortwave infrared to the very long wave infrared regions. Th…

Why does Mercury cadmium telluride matter?

Because it connects several chemistry 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 Mercury cadmium telluride?

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 Mercury cadmium telluride.

Tags

  • Cadmium compounds
  • II-VI semiconductors
  • Infrared sensor materials
  • Mercury(II) compounds
  • Tellurides

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