Every model shows some things and hides others
Model
A simplified representation of something that cannot be observed directly, built to show one kind of information about it.
- Chemists describe particles through models, because the particles themselves are far too small to observe directly.
- Each one is built to show a single kind of information clearly, and gives up others to do so.
- Judging a model means asking what it was designed to show, rather than whether it is a perfect picture.
- No single representation shows particles, electrons, forces, sizes and shapes all at once.
- Two models used together often cover each other's gaps.
- A model can be useful and limited at the same time.
- The right model depends on the question, whether that is about electrons, connections or shape.
Dot-and-cross diagrams: electrons yes, shape and scale no
- A dot-and-cross diagram shows the outer-shell electrons and which atom each one came from.
- For a covalent molecule it shows the shared pairs, so the number of bonds is clear.
- For an ionic compound it shows the electrons transferred and the charges that result.
- It leaves out the nucleus and the inner-shell electrons.
- It is flat, so it shows no three-dimensional shape and no bond angles.
- Symbol sizes and spacings are chosen for readability, so nothing in it is drawn to scale.
- For an ionic compound it shows one pair of ions rather than the repeating lattice.
- The dots and crosses stand for electrons, not for the atoms themselves.
- Electrons do not sit still in fixed spots, so the drawn positions record ownership rather than location.
Ball-and-stick models: shape yes, scale and electrons no
- A ball-and-stick model shows which atoms are joined and roughly how they sit in three dimensions.
- It gives a usable impression of the bond angles.
- The balls are drawn far apart relative to their size, so the spacing is wrong.
- Real atoms are not solid coloured spheres, and the colours are a labelling convention.
- The sticks show that a bond exists but say nothing about shared or transferred electrons.
- Atoms at the back can be hidden from any one viewing angle.
- For an ionic compound it can show the lattice arrangement but not the charges or the attractions.
- Water: a ball-and-stick model shows two hydrogen atoms joined to one oxygen atom at an angle.
- What it hides: the two lone pairs on oxygen, the true relative sizes of the atoms, and the real distance between the nuclei.
Two-dimensional and three-dimensional representations
- A two-dimensional drawing shows which atoms are joined and how many bonds each one has.
- It cannot show depth, so atoms nearer and further away look alike.
- A three-dimensional model or drawing shows the spatial arrangement and the approximate bond angles.
- It can still distort atom sizes, bond lengths and the spaces between particles.
- One viewing angle can hide atoms or make separate bonds appear to overlap.
- A flat drawing is not wrong merely for being flat, and its limitation is the missing depth.
- A flat drawing is not wrong for being flat, and its limitation is the missing depth.
- Scale is the safest limitation to reach for, since nothing in this topic is drawn to scale.
Choosing and combining models
- Use a dot-and-cross diagram when the question is about electrons, bonds or charges.
- Use a ball-and-stick model when the question is about shape or arrangement.
- Use a two-dimensional drawing when the question is only about which atoms are joined.
- Use two models together when the question needs both the electrons and the shape.
- Name the limitation that matters for the question rather than listing every limitation the model has.
- A limitation comes in two parts: what the representation does show, then the specific feature it leaves out.
- Calling a model inaccurate on its own leaves the answer unfinished, because the missing feature is the point.
- Naming the representation first keeps the limitation attached to the right model.
- What does a dot-and-cross diagram show that a ball-and-stick model does not?
- Why can a dot-and-cross diagram not show the shape of a molecule?
- Why are the balls and sticks in a ball-and-stick model not drawn to scale?
- What information does a two-dimensional drawing leave out?
- Why is it useful to have more than one representation of the same substance?