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Lesson: Chapter 3 — The Structure of Matter

3.7. Chemical formulae 3 of 5

Writing a formula

Compounds are formed by atoms or ions joining through bonds. So to write the formula of a compound you need to know the combining powers — the valencies — of what is in it. The formula is written so those combining powers balance.

Start with three simple ones

Hydrogen has valency 1; oxygen has valency 2. So two hydrogen atoms can combine with one oxygen atom → H2O

Nitrogen has valency 3. So three hydrogen atoms can combine with one nitrogen atom → NH3

Carbon has valency 4. So four hydrogen atoms can combine with one carbon atom → CH4

The crossing-over method

There is a quick way to balance the combining powers of two elements: write the two symbols side by side and swap their valencies, writing each below and to the right of the other symbol.

Compound Symbols Valencies Chemical formula
Sodium chloride Na · Cl 1 · 1 NaCl
Calcium chloride Ca · Cl 2 · 1 CaCl₂
Sodium oxide Na · O 1 · 2 Na₂O
Calcium oxide Ca · O 2 · 2 CaO
Magnesium nitride Mg · N 2 · 3 Mg₃N₂

Watch calcium oxide

Crossing over gives Ca2O2. But both valencies are 2, so they already balance — and the formula is written in its simplest ratio: CaO. Sodium chloride is the same case with 1 and 1.