Atoms and Molecules • Topic 2 of 3

Atoms, Molecules, Ions & Chemical Formulae

An atom is the smallest particle of an element that takes part in a chemical reaction. Atoms are unimaginably small — their radius is measured in nanometres (1 nm = 10−9 m), and a single drop of water contains more atoms than there are stars we can see. Because writing out element names is clumsy, every element has a short symbol: the first (sometimes first two) letters of its name, with the first letter capital and the second small, for example H for hydrogen, Na for sodium (from natrium) and Fe for iron (from ferrum).

Atomic mass and the atomic mass unit

Atoms are far too light to weigh in grams, so chemists use the atomic mass unit (u). One u is defined as exactly one-twelfth of the mass of one carbon-12 atom. On this scale hydrogen is about 1 u, carbon 12 u, nitrogen 14 u, oxygen 16 u, sodium 23 u, sulphur 32 u, chlorine 35.5 u and calcium 40 u. The atomic mass of an element is a relative number — it tells us how heavy one atom is compared with this standard.

Molecules and atomicity

A molecule is a group of two or more atoms held together by chemical bonds. A molecule of an element contains atoms of the same kind, such as O2 (oxygen) or O3 (ozone). A molecule of a compound contains atoms of different elements, such as H2O or CO2. The number of atoms in one molecule of an element is called its atomicity — helium is monatomic, oxygen is diatomic and phosphorus (P4) and sulphur (S8) are polyatomic.

Ions and polyatomic ions

An ion is a charged atom or group of atoms. A positively charged ion is a cation (formed by loss of electrons, e.g. Na+, Ca2+), and a negatively charged ion is an anion (formed by gain of electrons, e.g. Cl, O2−). A polyatomic ion is a group of atoms carrying a net charge that stays together as a unit, such as sulphate SO42−, nitrate NO3, carbonate CO32− and ammonium NH4+.

Valency and writing formulae by criss-cross

Valency is the combining capacity of an element or ion — effectively the size of its charge ignoring the sign. To write a chemical formula by the criss-cross method: write the symbols side by side, write the valency of each above it, then cross over each valency to become the subscript of the other. For aluminium (valency 3) and oxygen (valency 2), crossing gives Al2O3. Always reduce the subscripts to the simplest whole-number ratio, and enclose a polyatomic ion in brackets if more than one is needed, e.g. calcium nitrate is Ca(NO3)2.

Common Ions & Valencies (for the Criss-Cross Method)
ValencyCations (+)Anions (−)
1Na⁺, K⁺, NH₄⁺Cl⁻, OH⁻, NO₃⁻
2Mg²⁺, Ca²⁺, Cu²⁺O²⁻, SO₄²⁻, CO₃²⁻
3Al³⁺, Fe³⁺PO₄³⁻, N³⁻
1
Worked Example
Write the chemical formula of aluminium oxide using the criss-cross method. (Valency of Al = 3, O = 2.)
Solution
  1. Write the symbols with valencies: Al3 O2.
  2. Criss-cross the valencies as subscripts: Al2O3.
  3. The subscripts 2 and 3 have no common factor, so the formula is already simplest.

Answer: Aluminium oxide is Al2O3.

2
Worked Example
Write the formula of calcium nitrate. (Ca = 2, NO3 = 1.)
Solution
  1. Symbols with valencies: Ca2 (NO3)1.
  2. Criss-cross: Ca gets subscript 1, NO3 gets subscript 2.
  3. Since there are two nitrate groups, enclose it in brackets.

Answer: Calcium nitrate is Ca(NO3)2.

3
Worked Example
Write the formula of sodium sulphate. (Na = 1, SO4 = 2.)
Solution
  1. Symbols with valencies: Na1 (SO4)2.
  2. Criss-cross: Na gets subscript 2, SO4 gets subscript 1.
  3. One sulphate group needs no brackets.

Answer: Sodium sulphate is Na2SO4.

4
Worked Example
Identify the cation and anion in magnesium chloride MgCl2 and give their charges.
Solution
  1. Magnesium loses two electrons to form the cation Mg2+.
  2. Each chlorine gains one electron to form the anion Cl.
  3. Two Cl ions balance one Mg2+, giving MgCl2.

Answer: Cation Mg2+ and anion Cl (two chloride ions per magnesium ion).

5
Worked Example
Write the formula of aluminium sulphate. (Al = 3, SO4 = 2.)
Solution
  1. Symbols with valencies: Al3 (SO4)2.
  2. Criss-cross: Al gets subscript 2, SO4 gets subscript 3.
  3. Three sulphate groups need brackets.

Answer: Aluminium sulphate is Al2(SO4)3.

6
Worked Example
State the atomicity of (a) oxygen molecule, (b) ozone, (c) phosphorus and (d) helium.
Solution
  1. Oxygen exists as O2, so its atomicity is 2 (diatomic).
  2. Ozone is O3, so its atomicity is 3 (triatomic).
  3. Phosphorus exists as P4, so its atomicity is 4 (polyatomic).
  4. Helium exists as single atoms, so its atomicity is 1 (monatomic).

Answer: O2 = 2, O3 = 3, P4 = 4, He = 1.

Key Points

  • An atom is the smallest particle of an element; each element has a one- or two-letter symbol (first letter capital).
  • Atomic mass is measured in atomic mass units (u); 1 u = one-twelfth the mass of a carbon-12 atom (H = 1, C = 12, O = 16).
  • A molecule has two or more atoms; atomicity is the number of atoms in one molecule (O₂ diatomic, P₄ polyatomic, He monatomic).
  • Cations are positive ions (Na⁺, Ca²⁺); anions are negative ions (Cl⁻, O²⁻); polyatomic ions like SO₄²⁻ carry a net charge as a group.
  • Valency is combining capacity; the criss-cross method swaps valencies to subscripts, with brackets for more than one polyatomic ion.
Tap an option to check your answer0 / 4
Q1.One atomic mass unit (1 u) is defined as:
Explanation: By definition, 1 u equals exactly one-twelfth of the mass of a single carbon-12 atom.
Q2.A negatively charged ion is called a:
Explanation: An anion is formed when an atom gains electrons and becomes negatively charged; a cation is positive.
Q3.The correct formula of calcium nitrate is:
Explanation: Ca has valency 2 and NO₃ has valency 1; criss-cross gives Ca(NO₃)₂, with brackets for the two nitrate groups.
Q4.The atomicity of a phosphorus molecule (P4) is:
Explanation: Phosphorus exists as P₄, so four atoms make up one molecule — its atomicity is 4.