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Drude applied the kinetic theory of a dilute gas, despite the high densities, therefore ignoring electron–electron and electron–ion interactions aside from collisions. [Ashcroft & Mermin 13] The Drude model considers the metal to be formed of a collection of positively charged ions from which a number of "free electrons" were detached.
The model is named after the Dutch physicist Hendrik Antoon Lorentz. It is a classical , phenomenological model for materials with characteristic resonance frequencies (or other characteristic energy scales) for optical absorption, e.g. ionic and molecular vibrations , interband transitions (semiconductors), phonons , and collective excitations.
Paul Drude (c. 1900) realized that the phenomenological description of conductivity can be formulated quite generally (electron-, ion-, heat- etc. conductivity). Although the phenomenological description is incorrect for conduction electrons, it can serve as a preliminary treatment.
Hendrik Lorentz was born in Arnhem, Gelderland, Netherlands, the son of Gerrit Frederik Lorentz (1822–1893), a well-off horticulturist, and Geertruida van Ginkel (1826–1861). In 1862, after his mother's death, his father married Luberta Hupkes.
1894 – Paul Drude introduces the symbol c for speed of light in vacuum. 1895 – Hendrik Lorentz corrects his 1892 model, proposing a contraction by the Lorentz factor (γ). 1895 – Albert Einstein probably makes his thought experiment about chasing a light beam, later relevant to his work on special relativity.
This is a topic category for the topic Hendrik Lorentz ... Drude–Lorentz model; H. Heaviside–Lorentz units; History of special relativity; L. Length contraction;
Early models to explain the origin of the index of refraction treated an electron in an atomic system classically according to the model of Paul Drude and Hendrik Lorentz. The theory was developed to attempt to provide an origin for the wavelength-dependent refractive index n of a material.
As far as I know, The Drude-Lorentz model is called that because it is based on the Lorentz dipole oscillator model for electrons first published by Lorentz in 1878, with ω 0 = 0 due to the lack of interaction between the nuclei and conduction electrons.