GCSE · Chemistry · Edexcel · Spec 1CH0

Comparing the size of nanoparticles with atoms and molecules

Shrink a metre by a thousand, three times over, and you land on the nanometre: the unit that measures your DNA. Where do atoms, dust and cells sit around it?

Size scale · atoms to a plant cell

Tap each chip, smallest to biggest. Each tick is 100 times bigger than the one before, so this is a log scale: a normal ruler would squash everything except the plant cell into one spot. A range sits at its middle.

10⁻¹⁰ m10⁻⁸ m10⁻⁶ m10⁻⁴ m10⁻² mSize in metres (log scale: each tick is 100 times the last)

Atom (radius / bond length)

about 10⁻¹⁰ m

A typical atom radius and bond length are about 10⁻¹⁰ m. That is almost 10 times smaller than the smallest nanoparticle, so atoms sit below the nano band.

Chemistry · The prefixes

Shrink a metre by a thousand — three times

how big a division of a metre each prefix makes

1 · Biggest division4 · Smallest division
  1. nano-

  2. milli-

  3. pico-

  4. micro-

Watch out: Micro and nano are easy to swap. Micro is the step before nano, and it is a thousand times bigger.

Worked example · nanometres into metres

Problem

Write 2 nm in metres in standard form. Then do the same for 100 nm, which needs one extra move.

Chemistry · Size classes

Which size class is it?

Pick a particle, then pick the box it belongs in. Check the size first, in nanometres or metres.

Still to sort

Smaller than a nanoparticle (0)

Under 1 nm. A typical atom is down here.

Where the line is: Nanoparticles start at 1 nm (10⁻⁹ m). A typical atom radius is about 10⁻¹⁰ m, almost 10 times smaller.

Nanoparticle (0)

1 to 100 nm

Where the line is: Go over 100 nm and you have left the nanoparticles for the fine particles.

Fine particle (0)

Over 100 nm, up to 2.5 × 10⁻⁶ m (PM2.5)

Where the line is: At 2.5 × 10⁻⁶ m the coarse particles begin.

Coarse particle (0)

2.5 × 10⁻⁶ to 1 × 10⁻⁵ m (PM10)

Where the line is: Technically these are microparticles too, but they are still far smaller than a plant cell.

Larger microparticle (0)

Plant-cell scale. Microparticles span 1 × 10⁻⁶ to 1 × 10⁻³ m.

Where the line is: Coarse particles count as microparticles, but a plant cell is about 20 times wider than the top of the coarse range.

6 of 6 still to sort.

Watch out: 100 nm is still a nanoparticle. Fine particles start just above it.

Chemistry · Atoms vs nanoparticles

Is a single atom a nanoparticle?

A classmate says: "Nano just means really tiny, so a single atom must be a nanoparticle."

Which is closest to what you think?
How sure are you?

WHAT YOU'VE LEARNED

A quick recap of today's lesson.

What you need to know

  • Starting from a metre, milli-, micro-, nano- and pico- are steps that each make the unit a thousand times smaller.
  • A nanometre is 10⁻⁹ m, which is one billionth of a metre.
  • Have a goDev is sure that a nanometre is a millionth of a metre. Which prefix has Dev actually described?

    Micro-.

    From a metre, every step is a thousand times smaller: milli is a thousandth, micro is two steps (a millionth), nano is three steps (a billionth).

  • Standard form is a × 10ⁿ: a is at least 1 but less than 10, and n is any whole number, positive or negative.
  • Nanoscience studies structures from 1 to 100 nm in size, and any particles in that range are nanoparticles.
  • Human DNA is about 2 nm wide, so its width sits inside that 1 to 100 nm range.
  • Have a goWhich is the smaller length, 1 × 10⁻¹⁰ m or 1 × 10⁻⁹ m? Decide before you reveal.

    1 × 10⁻¹⁰ m, ten times smaller.

    A nanometre is 10⁻⁹ m. A power of −10 is one more step down, so the bigger the minus number, the smaller the length.

  • Atoms are not nanoparticles: a typical atom radius or bond length is about 10⁻¹⁰ m, almost 10 times smaller than 1 nm.
  • Fine particles are over 100 nm, up to 2.5 × 10⁻⁶ m; coarse particles run from there up to 1 × 10⁻⁵ m.
  • PM2.5 and PM10 are labels for a particle's maximum diameter: 2.5 × 10⁻⁶ m and 1 × 10⁻⁵ m (10 µm).
  • Microparticles span 1 × 10⁻⁶ to 1 × 10⁻³ m. Coarse particles and plant cells (about 2 × 10⁻⁴ m) both count.
  • Have a goA plant cell is about 2 × 10⁻⁴ m long and the biggest coarse particle is 1 × 10⁻⁵ m across. About how many times wider is the cell?

    About 20 times.

    2 × 10⁻⁴ is 20 × 10⁻⁵, so the powers differ by one (a factor of 10) and the 2 doubles it. Not 2 times, and not 200.

The big picture

A nanoparticle is 1 to 100 nm in size, which is 10⁻⁹ to 10⁻⁷ m. That makes it bigger than an atom (about 10⁻¹⁰ m) and smaller than fine particles, coarse dust and a plant cell. Learn the size bands, and learn to write each size in metres in standard form.

Key points

1Nano is the third prefix step below a metre: 10⁻⁹ m, one billionth of a metre.
2The nanoparticle band is 1 to 100 nm. Fine particles are bigger than that; coarse particles bigger still.
3Atoms are not nanoparticles: a typical atom (about 10⁻¹⁰ m) is almost 10 times smaller than the smallest one.
4To convert nm to m, swap in × 10⁻⁹ m, then tidy the front number so it is at least 1 and less than 10.

Worked example

Problem

A particle is 2.5 × 10⁻⁶ m across. Give its size in nanometres, then say where it sits on the scale.

⚠ Watch out

'Nano' does not mean atom-sized. A typical atom is about 10⁻¹⁰ m, and the smallest nanoparticle is 10⁻⁹ m. That is almost ten times bigger, and the whole gap hides in one small minus-number.

🧠

Memory hook

Milli, micro, nano, pico: each one a thousand times smaller than the last. And the smallest nanoparticle is still almost ten times bigger than an atom.

✓

Check yourself

A particle is 6 × 10⁻⁷ m across. Write its size in nanometres, then say whether it is a nanoparticle, a fine particle or a coarse particle, and why.

Flashcards

(12)
In what order do the prefixes milli-, micro-, nano- and pico- divide up a metre?
Milli, then micro, then nano, then pico. Each step is a thousand times smaller than the step before.
What is a nanometre?
A unit for very small distances: 10⁻⁹ m, or one billionth of a metre.
What is standard form?
a × 10ⁿ, where a is at least 1 and less than 10 and n is any positive or negative integer. It saves writing out all the zeros.
What is nanoscience?
The study of structures in the nanometre region, 1 to 100 nm in size.
What is a nanoparticle?
Any particle or structure that is 1 to 100 nm in size.
How wide is human DNA?
About 2 nm, though it is much longer than it is wide.
How does a typical atom compare in size with the smallest nanoparticle?
A typical atom radius or bond length is about 10⁻¹⁰ m: almost 10 times smaller than 1 nm. Individual atoms are not nanoparticles.
What size range do fine particles cover?
Larger than 100 nm, up to 2.5 × 10⁻⁶ m. They are not quite nanoparticles.
What size range do coarse particles cover, and what else are they?
From 2.5 × 10⁻⁶ m to 1 × 10⁻⁵ m (at least 2,500 nm). Technically they are a type of microparticle.
What does PM2.5 mean?
Particulate matter with a maximum diameter of 2.5 µm (2.5 × 10⁻⁶ m).
What does PM10 mean?
Particulate matter with a maximum diameter of 10 µm (1 × 10⁻⁵ m). The label is based on the maximum possible size.
What is the microparticle range, and what is an example?
1 × 10⁻⁶ to 1 × 10⁻³ m. A plant cell, about 200 µm (2 × 10⁻⁴ m) long, is one.

Tap any card to flip it, or use Study as deck to go through them one at a time. In the full lesson these run as a spaced-repetition deck — you rate each card Hard, Good or Easy and the tricky ones keep coming back until they stick.

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