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B. Matter, Chemical Trends, and Chemical Bonding · Matter, Chemical Trends, and Chemical Bonding

Molecular Models, Structural Formulas and Ionic Crystals

B2.6 B2.4 A1.12About 70 minutes
Learning goals
  • I can write structural formulas for molecules with single, double and triple bonds.
  • I can build or describe ball-and-stick models and name simple molecular shapes.
  • I can describe the crystal lattice of an ionic compound such as sodium chloride.
  • I can explain why structural formulas give more information than molecular formulas.

Words to know

structural formula
A diagram that shows how atoms in a molecule are connected, with lines for bonds and no lone pairs.
condensed structural formula
A shorthand structural formula that groups atoms around each carbon, e.g. CH₃CH₂OH.
ball-and-stick model
A model with balls for atoms and sticks for bonds, which shows bond angles.
space-filling model
A model with overlapping spheres that shows the overall shape and size of a molecule.
bond angle
The angle between two bonds that meet at the same atom.
crystal lattice
A regular, repeating three-dimensional arrangement of particles in a solid.
tetrahedral
A three-dimensional shape with four bonds pointing to the corners of a triangular pyramid (109.5°).

Seeing molecules in 3-D

In 1953, James Watson and Francis Crick worked out the structure of DNA partly by building a large physical model out of metal plates and rods, guided by X-ray images made by Rosalind Franklin and Maurice Wilkins. Chemists still build models, now often on computers, because a molecule's shape controls how it behaves: how it smells, whether it dissolves, how a medicine fits into a protein.

A chemical formula such as C₂H₄ tells you which atoms are present, but not how they are connected. In this lesson you will use structural formulas and molecular models to show the connections and the shapes of molecules, and you will see why an ionic compound such as sodium chloride is built completely differently.

Ways to represent a molecule

  • Molecular formula: the number of each kind of atom in one molecule: H₂O, CO₂, C₂H₄.
  • Lewis structure: all valence electrons, with lines for bonds and dots for lone pairs (Lesson 9).
  • Structural formula: lines for bonds between atom symbols, without lone pairs. It shows which atoms are joined and whether bonds are single, double or triple: H–O–H, O=C=O.
  • Condensed structural formula: a shorthand that groups atoms around each carbon, such as CH₂=CH₂ for ethene or CH₃CH₂OH for ethanol.
  • Ball-and-stick model: balls for atoms and sticks for bonds (two sticks for a double bond). It shows the angles between bonds clearly.
  • Space-filling model: atoms drawn as overlapping spheres at their relative sizes. It shows the overall shape and size of the molecule best, but hides the bonds.

Model kits use standard colours so everyone reads them the same way: carbon is usually black, hydrogen white, oxygen red, nitrogen blue and chlorine green.

CO₂H₂OC₂H₄structuralformulaball-and-stick modelOCOHOHCCHHHHOCOlinear, 180°OHHbent, about 104.5°CCHHHHflat, about 120°
Structural formulas and ball-and-stick models of three molecules. The structural formula shows the connections; the model also shows the shape and bond angles.

Shapes of some simple molecules

The shape of a molecule comes from the fact that electron pairs around a central atom repel each other and spread out as far apart as possible. (This idea is called VSEPR theory; you will use it fully in Grade 12 Chemistry, SCH4U.) For now, learn these common shapes:

  • CO₂: linear (180°). Carbon has two double bonds and no lone pairs, so the two oxygens sit on opposite sides.
  • H₂O: bent (about 104.5°). Oxygen has two bonds and two lone pairs; the lone pairs push the hydrogens closer together.
  • CH₄: tetrahedral (109.5°). Four bonds spread out in three dimensions, like the corners of a triangular pyramid.
  • NH₃: trigonal pyramidal (about 107°). Three bonds and one lone pair on nitrogen.
  • C₂H₄: planar (about 120°). All six atoms lie in one flat plane around the C=C double bond.
  • N₂, O₂, HCl, HCN: linear. Any molecule of two atoms is linear, and HCN's carbon has no lone pairs.

Ionic compounds: crystal lattices, not molecules

Ionic compounds do not form molecules, so they are modelled differently. In a crystal of sodium chloride, Na⁺ and Cl⁻ ions alternate in all three directions to form a cubic lattice.

  • Each Na⁺ ion is surrounded by 6 Cl⁻ ions (above, below, left, right, in front, behind).
  • Each Cl⁻ ion is surrounded by 6 Na⁺ ions.
  • Overall the ratio is 1 : 1, which is why the formula is NaCl.

The cubic arrangement of ions is why salt crystals are tiny cubes; look at grains of table salt with a magnifying glass and you will see them. Other ionic compounds have different lattice arrangements, but all are repeating three-dimensional patterns of oppositely charged ions.

Cl⁻ (larger ion)Na⁺ (smaller ion)the Na⁺ in the centre touches6 Cl⁻: above, below, left,right, front and backions not to scale; gapswidened to show the pattern
A model of part of a sodium chloride crystal. Ions alternate in every direction, so each ion is surrounded by six ions of the opposite charge.
Worked example

Example 1: From Lewis structure to structural formula

Write the structural formula of hydrogen cyanide, HCN, and name its shape.

  1. From Lesson 9, the Lewis structure is H–C≡N with one lone pair on N.
  2. A structural formula leaves out lone pairs: H–C≡N.
  3. Carbon has two bonding groups and no lone pairs, so the atoms line up.

H–C≡N, a linear molecule.

Worked example

Example 2: Building ethene, C₂H₄, from a model kit

Describe how to build a ball-and-stick model of C₂H₄ and what it shows.

  1. Take 2 carbon balls (4 holes each) and 4 hydrogen balls (1 hole each).
  2. Join the two carbons with two sticks (or two bent springs): the double bond.
  3. Each carbon uses 2 holes for the double bond and 2 for hydrogens.
  4. Look along the C=C bond: all six atoms lie in a flat plane, with angles of about 120°.

The model has a C=C double bond, four C–H single bonds, and is planar.

Worked example

Example 3: Molecular formula vs structural formula

Ethanol and dimethyl ether both have the molecular formula C₂H₆O. Their structural formulas are CH₃–CH₂–OH and CH₃–O–CH₃. Why do chemists need structural formulas?

  1. Both contain 2 C, 6 H and 1 O, so the molecular formula cannot tell them apart.
  2. In ethanol, the O is at the end, bonded to a C and an H (an –OH group). In dimethyl ether, the O is in the middle, bonded to two C atoms.
  3. These are different substances: ethanol is a liquid at room temperature (it boils at 78 °C), while dimethyl ether is a gas (it boils at about −24 °C).

Molecules with the same molecular formula can have different structures and different properties, so only a structural formula identifies them.

Just for fun

Ethene (C₂H₄), the flat molecule in this lesson, is also a natural plant hormone that makes fruit ripen. That is why a hard avocado ripens faster in a paper bag with a banana: the banana gives off ethene.

Hands-on activity

Edible molecule and crystal models

With a grown-up. You need: toothpicks (sharp ends: handle with care and keep away from young children), two kinds of small soft candy, marshmallows or grapes (for example, large and mini marshmallows), and a paper plate. Do not eat models after they have been handled a lot.

Part 1: molecules. Let large marshmallows be C, O or N (label them with a pencil dot code), and mini marshmallows be H. Build: H₂O (bent, about 104.5°), CO₂ (use two toothpicks side by side for each double bond; linear), CH₄ (tetrahedral: try to place the four H as far apart as possible in 3-D), and C₂H₄ (flat). Compare your angles with the lesson.

Part 2: a crystal. Use 14 large marshmallows (Cl⁻) and 13 mini ones (Na⁺). Build a 3 × 3 square layer, alternating large and small like a checkerboard (5 large and 4 small). Build a second layer with the opposite pattern (4 large, 5 small) and stack it on top so every ion sits above an ion of the other kind. Add a third layer like the first. Join neighbours with toothpicks.

What to look for: the small marshmallow in the very centre should touch 6 large ones. Count the totals: 14 large and 13 small. In a real crystal with billions of ions, the ratio becomes exactly 1 : 1.

Your turn

1

Write the structural formula of methane, CH₄, and name its shape.

2

What is the difference between a Lewis structure and a structural formula?

3

Why is the water molecule bent rather than linear?

4

How many Cl⁻ ions surround each Na⁺ ion in a sodium chloride crystal?

5

Write the structural formula of N₂ and of O₂.

6

Which kind of model best shows bond angles: ball-and-stick or space-filling?

More practice: warm-up

1

What does a double line (=) in a structural formula mean?

2

Name the shape of CO₂.

3

Does an ionic compound consist of molecules?

4

What shape are grains of table salt?

5

In model kits, what colour usually represents carbon?

More practice: on your own

1

Write the structural formula and name the shape of ammonia, NH₃.

2

Draw (describe) the structural formula of ethyne, C₂H₂, and predict its shape.

3

Explain why the formula NaCl is not a molecular formula.

4

A space-filling model shows a molecule as a single rounded blob with one big sphere and two small ones sticking out at an angle. Which molecule from this lesson could it be?

5

In the 27-ion model of NaCl from the activity, explain why there are 14 of one ion and 13 of the other rather than an equal number.

Challenge

1

Formaldehyde, CH₂O, has C as its central atom. Write its structural formula and predict its shape and approximate bond angle.

2

Propene has the formula C₃H₆ and contains one C=C double bond. Write a condensed structural formula for it.

3

In a sodium chloride crystal, each ion has 6 neighbours of the opposite charge. Explain how this arrangement helps make the crystal so stable (hard, high melting point).

Check your understanding

Quiz

1.

Which representation shows lone pairs?

2.

What is the shape of a water molecule?

3.

The structural formula O=C=O represents a molecule that is

4.

In a sodium chloride crystal, each Na⁺ ion is surrounded by

5.

All six atoms of ethene (C₂H₄) lie

6.

Two compounds have the same molecular formula, C₂H₆O, but different properties. This shows that

For parents and teachers

Big idea: Expectation B2.6 asks students to build molecular models and write structural formulas for molecular compounds with single and multiple bonds (such as CO₂, H₂O and C₂H₄) and for ionic crystal structures (such as NaCl).

How to help: The marshmallow-and-toothpick models are worth the mess. Ask your teen to show you the angle in water and to find the ion in the centre of the salt crystal that touches six others. A magnifying glass on table salt shows the cube shape. Supervise toothpick use.

Common difficulties:

  • Drawing water as a straight line (H–O–H is written in a line on paper, but the molecule is bent).
  • Treating NaCl as a molecule.
  • Mixing up structural formulas (no lone pairs) and Lewis structures (all valence electrons).