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Thomson, Rutherford and Bohr Atomic Models Compared

Our picture of the atom was built by three landmark models. Thomson's plum-pudding model (1897) imagined electrons stuck like raisins in a positively charged pudding. Rutherford's nuclear model (1911) moved the positive charge into a tiny central nucleus after his gold-foil experiment. Bohr's model (1913) put electrons into fixed energy shells around that nucleus, explaining the sharp lines of atomic spectra.

These models matter because each one was a response to hard experimental evidence, and together they show how science actually advances — by replacing good ideas with better ones. They also explain why elements emit characteristic colours of light, which is the basis of spectroscopy, flame tests and even neon signs.

Key Concepts

  • Thomson model: the atom is a uniform sphere of positive charge with electrons embedded in it, like plums in a pudding. Explained cathode rays but could not explain the gold-foil results.
  • Rutherford model: almost all mass and all positive charge sit in a tiny nucleus; electrons orbit the empty space around it. Born from the gold-foil experiment, where a few alpha particles bounced straight back off gold atoms.
  • Bohr model: electrons circle the nucleus only in certain allowed orbits (shells n = 1, 2, 3, …) with fixed energies; they jump between shells by absorbing or emitting exact packets of light energy.
  • Gold-foil experiment: Rutherford's team fired alpha particles at thin gold foil; most passed through, but about 1 in 8000 bounced back — proof of a small, dense, positive nucleus.
  • Atomic spectrum: each element emits light only at specific wavelengths, like a barcode; Bohr's shells explained hydrogen's lines.
  • Ground state vs excited state: the lowest-energy arrangement versus an electron temporarily kicked to a higher shell.

Formulas

Bohr's model gives the energy of hydrogen's electron shells:

En = −13.6 ÷ n² electron-volts (eV), for shell number n = 1, 2, 3, …

Energy of emitted/absorbed light: ΔE = 13.6 × (1/nlower² − 1/nupper²) eV

  • The negative sign means the electron is bound; n = 1 is the most tightly bound shell.
  • Limits: these equations work accurately only for hydrogen and one-electron ions like He+. They fail for multi-electron atoms, where electron-electron repulsion complicates everything.

Worked Example

Calculate the energy of the red light hydrogen emits when its electron falls from shell n = 3 to shell n = 2.

  1. Use ΔE = 13.6 × (1/2² − 1/3²) = 13.6 × (1/4 − 1/9).
  2. Find a common denominator: 1/4 − 1/9 = 9/36 − 4/36 = 5/36.
  3. Multiply: 13.6 × 5 ÷ 36 = 68 ÷ 36 = 1.89 eV.
  4. This 1.89 eV photon is the famous red H-alpha line at 656 nm — the colour that makes hydrogen discharge tubes glow pinkish-red.
  5. Check the logic: the electron fell to a lower shell, so energy was released as light — the positive ΔE confirms emission.

Common Misconceptions

  • "Bohr's model is the final, correct picture." It was a brilliant stepping stone, but it cannot explain multi-electron atoms, fine spectral details or chemical bonding shapes. Modern quantum mechanics replaced neat orbits with probability clouds called orbitals.
  • "Rutherford discovered the electron." Thomson discovered the electron in 1897; Rutherford discovered the nucleus in 1911 and later identified the proton. Keep the credit with the right scientist.
  • "Electrons really travel in circular planet-like orbits." No experiment shows little balls circling. Bohr's orbits were a mathematical convenience that happened to predict hydrogen's spectrum; reality is fuzzier and described by quantum mechanics.

Real-World Applications

  • Neon signs and street lamps: excited gas atoms fall back through energy levels, emitting the characteristic colours Bohr's model first explained.
  • Flame tests: analytical chemists identify metals by the coloured light their electrons emit — sodium's intense yellow, potassium's lilac.
  • Lasers: work by pumping electrons to excited states and triggering coordinated jumps back down, releasing identical photons.
  • Astronomy: the 1.89 eV hydrogen line lets telescopes map star-forming clouds across the galaxy by their red glow.

Thomson found the electron and gave us the pudding, Rutherford's gold foil revealed the nucleus, and Bohr's shells explained the spectral lines with En = −13.6/n² eV. Remember what each experiment proved and what each model could not explain — that chain of evidence is exactly what examiners love to test.