Atoms: Subatomic Particles & Electron Configuration

Protons, neutrons, electrons — and the rules that govern where electrons live. Isotopes, the Bohr model, modern orbitals, and how to write the configuration of any element you'll see on the CBE.

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Every atom has three kinds of particles

  • Protons — positive charge (+1), located in the nucleus, mass ≈ 1 amu. The proton count defines the element.
  • Neutrons — no charge, in the nucleus, mass ≈ 1 amu (slightly heavier than proton). Hold the nucleus together.
  • Electrons — negative charge (−1), occupy regions outside the nucleus, mass ≈ 1/1836 amu (negligible).

Key quantities:

  • Atomic number (Z) = number of protons. Defines the element.
  • Mass number (A) = protons + neutrons. The "weight" tag.
  • Number of neutrons = A − Z.
  • Charge of the atom = protons − electrons. Neutral atoms have equal counts; ions don't.

Isotopes — same element, different mass

Atoms of the same element with DIFFERENT neutron counts (and therefore different mass numbers) are called isotopes. Carbon-12, carbon-13, and carbon-14 all have 6 protons but 6, 7, and 8 neutrons respectively. They are still all carbon.

The atomic mass shown on the periodic table (e.g., chlorine ≈ 35.45) is a weighted average of an element's natural isotope mix. To calculate:

avg mass = Σ (isotope mass × fractional abundance)

Example for chlorine: (34.97 × 0.7577) + (36.97 × 0.2423) = 35.45 amu ✓.

Atomic theory — short history

  • Dalton (1808): Atoms are indivisible, identical for an element, combine in fixed ratios.
  • Thomson (1897): Discovered the electron via cathode rays — atoms have internal structure.
  • Rutherford (1911): Gold-foil experiment — most of the atom is empty space; a small dense positive nucleus exists.
  • Bohr (1913): Electrons occupy fixed quantized energy levels; jumps between levels emit/absorb photons.
  • Schrödinger (1926): Quantum mechanical model — electrons occupy 3D probability regions (orbitals), not fixed orbits.
  • Chadwick (1932): Discovered the neutron.

Electron configuration — the address system

Electrons fill orbitals according to three rules:

  • Aufbau principle — fill the LOWEST energy level first. Order: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d.
  • Pauli exclusion — no two electrons in the same atom can have the same set of four quantum numbers. In practice: each orbital holds at most 2 electrons, with opposite spins.
  • Hund's rule — for orbitals of equal energy (the three p orbitals, for example), fill each with ONE electron (parallel spins) before doubling up.

Sublevel capacities:

  • s: 2 electrons (1 orbital)
  • p: 6 electrons (3 orbitals)
  • d: 10 electrons (5 orbitals)
  • f: 14 electrons (7 orbitals)

Example — sulfur (Z = 16):

1s² 2s² 2p⁶ 3s² 3p⁴

Count: 2 + 2 + 6 + 2 + 4 = 16 ✓. Sulfur has 6 valence electrons (3s² + 3p⁴), explaining why it forms 2 bonds in compounds like H₂S and typically gains 2 electrons to become S²⁻.

Ions form by gaining or losing electrons

Metals tend to LOSE electrons (form cations: Na⁺, Mg²⁺, Al³⁺). Nonmetals tend to GAIN electrons (form anions: F⁻, O²⁻, N³⁻). The driving force is usually achieving a noble-gas electron configuration — full valence shell.

Note that ion formation does NOT change the proton or neutron count — only the electron count. Cations are SMALLER than the neutral atom; anions are LARGER.

Check yourself

Quick check #1
An atom of carbon-14 contains 6 protons. How many neutrons does it have?
Quick check #2
The ground-state electron configuration of magnesium (Mg, Z = 12) is:

Practice with real CBE questions