Summary

Important Concepts/Experiments

Nineteenth-Century Science

Faraday’s invention of the gas discharge tube launched two important avenues of inquiry:

  • Atomic structure.

  • Atomic spectra.

The figure illustrates Faraday's gas discharge tube.

The End of Classical Physics . . .

Atomic spectra had to be related to atomic structure, but no one could understand how. Classical physics could not explain

  • The stability of matter.

  • Discrete atomic spectra.

  • Continuous blackbody spectra.

The figure illustrates the drawback of an atomic structure established from classical physics.

Cathode Rays and Atomic Structure

Thomson found that cathode rays are negative subatomic particles. These were soon named electrons. Electrons are

  • Constituents of atoms.

  • The fundamental units of negative charge.

Rutherford discovered the atomic nucleus.

His nuclear model of the atom proposes

  • A very small, dense positive nucleus.

  • Orbiting negative electrons.

Later, different isotopes were recognized to contain different numbers of neutrons in a nucleus with the same number of protons.

The figure illustrates the nucleus model of an atom.

Atomic Spectra and the Nature of Light

The spectra emitted by the gas in a discharge tube consist of discrete wavelengths.

  • Every element has a unique spectrum.

  • Every spectral line in an element’s absorption spectrum is present in its emission spectrum, but not all emission lines are seen in the absorption spectrum.

The figure illustrates absorption and emission spectrum obtained from the discharge tube experiment.

The wavelengths of the hydrogen emission spectrum are

λ=91.18 nm(1m2−1n2)  m=1, 2, 3, …n=any integer greater than m

Blackbody Radiation

  • The spectrum is continuous.

  • The spectrum depends only on an object’s temperature.

  • Wien’s law: The peak intensity occurs at λ (in nm)=(2.90×106 nm K)/T.

The figure illustrates a wavelength versus intensity graph.

Applications

Millikan’s oil-drop experiment measured the fundamental unit of charge:

e=1.60×10−19 C

One electron volt (1 eV) is the energy an electron or proton (charge ±e) gains by accelerating through a potential difference of 1 V:

1 eV=1.60×10−19 J

Terms and Notation