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2.4.1 Sizes of particles and their properties

Nanoscience: nanoparticles are only a few hundred atoms across

Definition

Diameter

The straight-line distance across a particle through its centre.

  1. Nanoscience is the study of structures with sizes between 111 and 100 nm100\ \text{nm}100 nm.
  2. One nanometre, written nm\text{nm}nm, is equal to 1×10−9 m1 \times 10^{-9}\ \text{m}1×10−9 m.
  3. A nanoparticle is a particle whose dimensions fall between 111 and 100 nm100\ \text{nm}100 nm.
  4. A nanostructure of this size typically contains only a few hundred atoms.
  5. A single atom has a diameter of roughly 0.1 nm0.1\ \text{nm}0.1 nm.
    1. A 1 nm1\ \text{nm}1 nm structure is therefore about ten atoms across, and a 100 nm100\ \text{nm}100 nm structure about one thousand atoms across.
  6. Many small molecules measure less than 1 nm1\ \text{nm}1 nm across.
    1. Nanoparticles are therefore larger than individual atoms and many simple molecules.
Note
  • Course boundary: this is separate (triple) chemistry only and is not needed for the Combined Science course.
  • Unit check: 100 nm100\ \text{nm}100 nm is equal to 1×10−7 m1 \times 10^{-7}\ \text{m}1×10−7 m.

Particle sizes: nanoparticles are smaller than fine particles and dust

Definition

Particulate matter

Tiny solid particles or liquid droplets suspended in the air.

  1. Nanoparticles have diameters between 111 and 100 nm100\ \text{nm}100 nm.
    1. They are the smallest category of airborne particle described here.
  2. Fine particles, labelled PM2.5\text{PM}_{2.5}PM2.5​, have diameters between 100100100 and 2500 nm2500\ \text{nm}2500 nm.
    1. This range is equivalent to 1×10−7 m1 \times 10^{-7}\ \text{m}1×10−7 m up to 2.5×10−6 m2.5 \times 10^{-6}\ \text{m}2.5×10−6 m.
  3. Coarse particles, labelled PM10\text{PM}_{10}PM10​, have diameters between 250025002500 and 10 000 nm10\,000\ \text{nm}10000 nm.
    1. This range is equivalent to 2.5×10−6 m2.5 \times 10^{-6}\ \text{m}2.5×10−6 m up to 1×10−5 m1 \times 10^{-5}\ \text{m}1×10−5 m.
    2. Coarse particles are often called dust.
  4. Fine and coarse particles are both forms of particulate matter in the air.
  5. The size order from smallest to largest is nanoparticles, then fine particles, then coarse particles.
Common Mistake
  • Do not read the number in PM2.5\text{PM}_{2.5}PM2.5​ as 2.5 nm2.5\ \text{nm}2.5 nm, because 2500 nm2500\ \text{nm}2500 nm is equal to 2.5×10−6 m2.5 \times 10^{-6}\ \text{m}2.5×10−6 m.
  • To convert nanometres to metres, multiply the value by 1×10−91 \times 10^{-9}1×10−9.

Smaller cubes: shrinking the side raises the surface area to volume ratio

  1. The surface area to volume ratio compares an object's total surface area with its volume.
  2. For a cube with side length xxx, the surface area is 6x26x^26x2 and the volume is x3x^3x3.
  3. Its surface area to volume ratio is therefore 6x2x3=6x\frac{6x^2}{x^3}=\frac{6}{x}x36x2​=x6​.
    1. Because xxx is in the denominator, a smaller side length gives a larger ratio.
  4. Decreasing the side of a cube by a factor of 101010 increases its surface area to volume ratio by a factor of 101010.
  5. Smaller particles therefore expose more surface area for the same total volume of material.
Example
  • A cube of side 10 nm10\ \text{nm}10 nm has surface area 6×102=600 nm26 \times 10^2 = 600\ \text{nm}^26×102=600 nm2 and volume 103=1000 nm310^3 = 1000\ \text{nm}^3103=1000 nm3.
  • Its surface area to volume ratio is 6001000=0.6 nm−1\frac{600}{1000} = 0.6\ \text{nm}^{-1}1000600​=0.6 nm−1.
  • A cube of side 1 nm1\ \text{nm}1 nm has surface area 6 nm26\ \text{nm}^26 nm2 and volume 1 nm31\ \text{nm}^31 nm3.
  • Its ratio is 6 nm−16\ \text{nm}^{-1}6 nm−1, which is ten times greater than 0.6 nm−10.6\ \text{nm}^{-1}0.6 nm−1.

High surface area: nanoparticles can behave differently from bulk materials

Definition

Bulk material

A material in a large piece or with normal particle sizes rather than as nanoparticles.

  1. Nanoparticles may show different properties from the same substance as a bulk material.
  2. Their high surface area to volume ratio means much more of the material is exposed at the surface for a given volume.
    1. This exposed surface is where the material meets and reacts with other substances.
  3. Changing the particle size can therefore change how a material behaves.
  4. A smaller quantity of nanoparticles may achieve the same effect as a much larger quantity of the bulk material.
  5. Use the word may here, because nanoparticles do not always differ from the bulk material.
Self review
  • What range of sizes does nanoscience study?
  • How does the size of a nanoparticle compare with the typical diameter of an atom?
  • What are the diameter ranges of fine particles and coarse particles?
  • What happens to a cube's surface area to volume ratio when its side decreases by a factor of 101010?
  • Why might a smaller quantity of nanoparticles be as effective as more of the bulk material?
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Nanoscience is the study of structures with sizes between 1 nm1 \, \text{nm}1nm and 100 nm100 \, \text{nm}100nm. A nanoparticle is a particle with at least one dimension in this range.

One nanometre is very small: 1 nm=1×10−9 m1 \, \text{nm} = 1 \times 10^{-9} \, \text{m}1nm=1×10−9m. Nanoparticles may contain from tens to billions of atoms, depending on their size and shape. Only very small nanoparticles typically contain a few hundred atoms.

A single atom has a diameter of roughly 0.1 nm0.1 \, \text{nm}0.1nm. Therefore, a 1 nm1 \, \text{nm}1nm structure is about ten atoms across, while a 100 nm100 \, \text{nm}100nm structure is about one thousand atoms across. A roughly three-dimensional particle that is one thousand atoms across can contain billions of atoms.

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2.4.1 Sizes of particles and their properties Revision Guide

  1. GCSE
  2. /Chemistry
  3. /2.4.1 Sizes of particles and their properties

Revision notes for AQA GCSE Chemistry 2.4.1 Sizes of particles and their properties. Open the guide for explanations and worked examples. Written against the AQA GCSE Chemistry (8462) specification, so the content matches what's examinable rather than general Chemistry background.

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