Free Electrons in Metals
1865-1943 Pieter Zeeman [Wikipedia]
1853-1928 Hendrik Antoon Lorentz [Wikipedia]
1863-1906 Paul Drude [Wikipedia]
1881-1948 Richard Chace Tolman [Wikipedia]
1890-1958 Thomas Dale Stewart [Wikipedia]
1896
1897
Pieter Zeeman discovered splitting of emission wavelength of solium (Na) in magnetic field.

P. Zeeman
On the influence of magnetism on the nature of the light emitted by a substance
London, Edinburgh, and Dublin Philosophical Magazine Journal of Science 5th Series, Volume 43, pp. 226-237 (1897).
[DOI]

P. Zeeman
Over den invloed eener magnetisatie op den aard van het door een stof uitgezonden licht (op Zaterdag 31 October 1896)
Koninklijke Akademie van Wetenschappen te Amsterdam
Verslagen van de gewone vergaderingen der Wis- En Natuurkundige Afdeeling, Deel V. van 30 Mei 1896 tot 21 April 1897
(Johannes Müller, Amsterdam, 1897) pp. 181-184.
[Archive]

P. Zeeman
Over den invloed eener magnetisatie op den aard van het door een stof uitgezonden licht, II (van Zaterdag 28 November 1896)
Koninklijke Akademie van Wetenschappen te Amsterdam
Verslagen van de gewone vergaderingen der Wis- En Natuurkundige Afdeeling, Deel V. van 30 Mei 1896 tot 21 April 1897
(Johannes Müller, Amsterdam, 1897) pp. 242-248.
[Archive]

English Translation
Kamerlingh Onnes
Communications from the Physical Laboratory at the University of Leiden
No. 25-36
April 1893-January 1897
Eduard Ijdo, Leiden, 1897
[LeidenUnivArchive]->[Communications]->[25-36]

P. Zeeman
The effect of magnetisation on the nature of light emitted by a substance
Nature, Volume 55, pp. 347-347 (1897).
[DOI]

Lorentz's Predictions and Zeeman's Observation
- Circular polarization of the light of which wavelength is splitted by magnetic field.
- The value of e/m, which can be calculated in Lorentz's theory, matched to the value measured by J. J. Thomson.
1895
1906
Hendrik Antoon Lorentz

Light emission from an object is due to harmonic oscillation of charged particles in the atom.
His theory explained the splitting of the emission wavelength by the magnetic field.

H. A. Lorentz
Versuch einer Theorie der electrischen und optischen Erscheinungen in bewegten Körpern
(Brill, Leiden, 1895).

[Wikisource] [MPG]

H. A. Lorentz
Versuch einer Theorie der electrischen und optischen Erscheinungen in bewegtenKörpern
(B. G. Teubner, Leipzig, 1906).
[Archive(1906)]
1897 Pieter Zeeman

m/e could be obtained from the relationship between the magnetic field and the wavelength splitting.
The values were in good agreement with the m/e of "corpuscle" measured by J. J. Thomson.

P. Zeeman
Doublets and triplets in the spectrum produced by external magnetic forces
London, Edinburgh, and Dublin Philosophical Magazine Journal of Science 5th Series, Volume 44, pp. 55-60 (1897).
[DOI]
1899 J. J. Thomson and The Photoelectric Effect

When a surface were exposed to electromagnetic radiation with the energy above a certain threshold, charged particles were emitted from the surface. J. J. Thomson revealed that e/m of emitted charged particles was the same with his "corpuscles"(=electrons) observed in the cathode rays.

J. J. Thomson
On the existence of masses smaller than atoms (Saturday, September 16), in Report of the Sixty-Ninth Meeting of the British Association for the Advancement of Science held at Dover in September 1899 (John Murray, London, 1900) pp. 637-637.
[BioDiversityLib]

J. J. Thomson
On the masses of the ions in gases at low pressures
London, Edinburgh, and Dublin Philosphical Magazine Journal of Science 5th Series, Volume 48, pp. 547-567 (1899).
[DOI]
1900 Paul Drude

Classical theory of electric conduction by motion of charged particles.
Particles of mass m and charge e move around in the solid as in the gas.

P. Drude
Zur Elektronentheorie der Metalle. I. Teil
Annalen der Physik, Volume 306, pp. 566-613 (1900).
(Vierte Folge Volume 1)
[DOI] [Google] [Archive]

P. Drude
Zur Elektronentheorie der Metalle. II. Teil
Galvanomagnetische und thermomagnetische Effecte
Annalen der Physik, Volume 308, pp. 369-402 (1900).
(Vierte Folge Volume 3)
[DOI] [Archive] [Archive] [Google] [Google] [Google]
1916 Richard Chase Tolman and Thomas Dale Stewart

Experimental and conclusive evidence that the transport of free electrons in solids is an electric current.
They suddenly stopped the rotating metal coil at high speed and measured the voltage generated at that time.

R. C. Tolman and T. D. Stewart
The electromotive force produced by the acceleratio of metals
Proceedings of the National Academy of Sciences of the United States of America, Volume 2, pp. 189-192 (1916).
[DOI]

R. C. Tolman and T. D. Stewart
The electromotive force produced by the acceleration of metals
Physical Review, Volume 8, pp. 97-116 (1916).
[DOI]
Toward Quantum Mechanics

There were still many un-explained behaviors of electrons in solids. It has gradually become clear that classical mechanics and electromagnetism can no longer solve this problem.