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Monolayer

Monolayer is a physics 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 Monolayer rather than just read about it. In short: A monolayer is a single, closely packed layer of entities, commonly atoms or molecules. Monolayers can also be made out of cells.

Monolayer — main illustration
Monolayer — illustration

Key takeaways

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

Reference excerpt

A monolayer is a single, closely packed layer of entities, commonly atoms or molecules. Monolayers can also be made out of cells. Self-assembled monolayers form spontaneously on surfaces. Monolayers of layered crystals like graphene and molybdenum disulfide are generally called 2D materials.

Types

A Langmuir monolayer or insoluble monolayer is a one-molecule thick layer of an insoluble organic material spread onto an aqueous subphase in a Langmuir–Blodgett trough. Traditional compounds used to prepare Langmuir monolayers are amphiphilic materials that possess a hydrophilic headgroup and a hydrophobic tail. Since the 1980s a large number of other materials have been employed to produce Langmuir monolayers, some of which are semi-amphiphilic, including polymeric, ceramic or metallic nanoparticles and macromolecules such as polymers. Langmuir monolayers are extensively studied for the fabrication of Langmuir–Blodgett film (LB films), which are formed by transferred monolayers on a solid substrate. A Gibbs monolayer or soluble monolayer is a monolayer formed by a compound that is soluble in one of the phases separated by the interface on which the monolayer is formed.

Properties

Formation time The monolayer formation time or monolayer time is the length of time required, on average, for a surface to be covered by an adsorbate, such as oxygen sticking to fresh aluminum. If the adsorbate has a unity sticking coefficient, so that every molecule which reaches the surface sticks to it without re-evaporating, then the monolayer time is very roughly:

t = 3 × 10 − 4 P a ⋅ s P {\displaystyle t={\frac {3\times 10^{-4}\,\mathrm {Pa} \cdot \mathrm {s} }{P}}}

where t is the time and P is the pressure. It takes about 1 second for a surface to be covered at a pressure of 300 μPa (2×10−6 Torr).

Monolayer phases and equations of state A Langmuir monolayer can be compressed or expanded by modifying its area with a moving barrier in a Langmuir film balance. If the surface tension of the interface is measured during the compression, a compression isotherm is obtained. This isotherm shows the variation of surface pressure ( Π = γ o − γ {\displaystyle \Pi =\gamma ^{o}-\gamma } , where γ o {\displaystyle \gamma ^{o}} is the surface tension of the interface before the monolayer is formed) with the area (the inverse of surface concentration Γ − 1 {\displaystyle \Gamma ^{-1}} ). It is analogous with a 3D process in which pressure varies with volume. A variety of bidimensional phases can be detected, each separated by a phase transition. During the phase transition, the surface pressure doesn't change, but the area does, just like during normal phase transitions volume changes but pressure doesn't. The 2D phases, in increasing pressure order:

Bidimensional gas: there are few molecules per area unit, and they have few interactions, therefore, analogous of the equations of state for 3D gases can be used: ideal gas law Π A = R T {\displaystyle \Pi A=RT} , where A {\displaystyle A} is the area per mole. As the surface pressure increases, more complex equations are needed (Van der Waals, virial...) Expanded liquid Compressed liquid Solid If the area is further reduced once the solid phase has been reached, collapse occurs, the monolayer breaks and soluble aggregates and multilayers are formed. Gibbs monolayers also follow equations of state, which can be deduced from Gibbs isotherm.

For very dilute solutions γ = γ o − m C {\displaystyle \gamma =\gamma _{o}-mC} , through Gibbs isotherm another analogous of ideal gas law is reached Π = Γ R T {\displaystyle \Pi =\Gamma RT}

For more concentrated solutions and applying Langmuir isotherm Γ = Γ max C a + C {\displaystyle \Gamma =\Gamma _{\max }{\frac {C}{a+C}}} , thus Π = Γ max R T ( 1 + C a ) {\displaystyle \Pi =\Gamma _{\max }RT\left(1+{\frac {C}{a}}\right)}

Applications Monolayers have a multitude of applications both at the air–water and at air–solid interphases. Nanoparticle monolayers can be used to create functional surfaces that have for instance anti-reflective or superhydrophobic properties. Monolayers are frequently encountered in biology. A micelle is a monolayer, and the phospholipid lipid bilayer structure of biological membranes is technically two monolayers. Langmuir monolayers are commonly used to mimic cell membrane to study the effects of pharmaceuticals or toxins.

Cell culture In cell culture, a monolayer refers to a layer of cells in which no cell is growing on top of another, but all are growing side by side and often touching each other on the same growth surface.

See also Langmuir–Blodgett film Langmuir–Blodgett trough Self-assembled monolayer Evaporation suppressing monolayers

References

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with Monolayer

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

In research
Monolayer appears in physics 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 Monolayer 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
Monolayer is common in secondary-school and first-year university syllabi. It links to neighbouring topics Phases of matter, Physical chemistry, Thin films, so understanding it makes those chapters shorter.
In everyday life
Look for Monolayer 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 Monolayer in 20 minutes

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

Frequently asked questions

What is Monolayer in simple terms?

A monolayer is a single, closely packed layer of entities, commonly atoms or molecules. Monolayers can also be made out of cells.

Why does Monolayer matter?

Because it connects several physics 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 Monolayer?

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 Monolayer.

Tags

  • Phases of matter
  • Physical chemistry
  • Thin films

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