1.23 - Counting particles in ions

1.23 - Counting particles in ions

Use atomic number, mass number and ion charge to count protons, neutrons and electrons. Worked positive- and negative-ion examples show how the electron count changes while the nucleus stays the same.

Reading the ion

A simple ion here is a charged single atom. Its atomic number is its number of protons. Its mass number is its total number of protons and neutrons. Forming an ion by losing or gaining electrons leaves both nuclear counts unchanged.

Particle counts

protons=atomic number\text{protons} = \text{atomic number} neutrons=mass numberatomic number\text{neutrons} = \text{mass number} - \text{atomic number}

For a positive ion, subtract the size of the charge from the atomic number to find electrons. For a negative ion, add it.

For Mg2+Mg^{2+} the charge size is 2; for ClCl^- it is 1. These are counts, so label them as protons, neutrons or electrons; no mass or length unit is needed.

Counting a positive ion

Worked example: Mg2+Mg^{2+} with atomic number 12 and mass number 24.

  1. Protons = 12.
  2. Neutrons = 24 − 12 = 12.
  3. A 2+ charge means two electrons have been lost: electrons = 12 − 2 = 10.

Check the charge: twelve positive protons and ten negative electrons give an overall charge of 2+. The charge number does not change the protons or neutrons.

Counting a negative ion

Worked example: O2O^{2-} with atomic number 8 and mass number 16.

  1. Protons = 8.
  2. Neutrons = 16 − 8 = 8.
  3. A 2− charge means two electrons have been gained: electrons = 8 + 2 = 10.

There are two more electrons than protons, which matches the 2− charge. Although this oxide ion and the magnesium ion both have ten electrons, they are different elements because they have different proton numbers.

Checking a particle count

A useful final check is protons minus electrons = signed ion charge. Neutrons do not affect charge. If a student subtracts the charge from the proton number itself, the answer changes the element rather than forming its ion.

Compare a calcium atom and the ion formed from it. Both have atomic number 20 and mass number 40, so both have 20 protons and 20 neutrons. The neutral atom has 20 electrons; Ca2+Ca^{2+} has 18. Electron loss does not remove particles from the nucleus.