Gustav Kirchhoff

Gustav Kirchhoff
Born	Gustav Robert Kirchhoff (1824-03-12)12 March 1824 Königsberg, Kingdom of Prussia (now Kaliningrad, Russia)
Died	17 October 1887(1887-10-17) (aged 63) Berlin, German Empire (now Germany)
Resting place	Alter St.-Matthäus-Kirchhof, Berlin
Alma mater	University of Königsberg
Known for	Kirchhoff's circuit laws Kirchhoff's diffraction formula Kirchhoff integral theorem Kirchhoff's law of thermal radiation Kirchhoff's law of thermochemistry
Awards	Rumford medal (1862) Matteucci Medal (1877) Davy Medal (1877) Janssen Medal (1887)
Scientific career
Fields	Physics Mathematics
Institutions	University of Berlin University of Breslau University of Heidelberg
Doctoral advisor	Franz Ernst Neumann[citation needed]
Notable students	Loránd Eötvös Gabriel Lippmann[citation needed] Dmitri Mendeleev Edward Nichols Max Noether Heike Kamerlingh Onnes Jules Piccard Max Planck Ernst Schröder

Gustav Robert Kirchhoff (German: [ˈkɪʁçhɔf]; 12 March 1824 – 17 October 1887) was a German physicist and mathematician who contributed to the fundamental understanding of electrical circuits, spectroscopy and the emission of black-body radiation by heated objects.^[1][2]

He coined the term black-body radiation in 1860.

Several different sets of concepts are named "Kirchhoff's laws" after him, which include Kirchhoff's circuit laws, Kirchhoff's law of thermal radiation, and Kirchhoff's law of thermochemistry.

The Bunsen–Kirchhoff Award for spectroscopy is named after Kirchhoff and his colleague, Robert Bunsen.

Gustav Kirchhoff was born on 12 March 1824 in Königsberg, Prussia, the son of Friedrich Kirchhoff, a lawyer, and Johanna Henriette Wittke.^[3] His family were Lutherans in the Evangelical Church of Prussia. He graduated from the Albertus University of Königsberg in 1847 where he attended the mathematico-physical seminar directed by Carl Gustav Jacob Jacobi,^[4] Franz Ernst Neumann and Friedrich Julius Richelot. In the same year, he moved to Berlin, where he stayed until he received a professorship at Breslau. Later, in 1857, he married Clara Richelot, the daughter of his mathematics professor Richelot. The couple had five children. Clara died in 1869. He married Luise Brömmel in 1872.^[5]

Kirchhoff formulated his circuit laws, which are now ubiquitous in electrical engineering, in 1845, while he was still a student. He completed this study as a seminar exercise; it later became his doctoral dissertation. He was called to the University of Heidelberg in 1854, where he collaborated in spectroscopic work with Robert Bunsen. In 1857, he calculated that an electric signal in a resistanceless wire travels along the wire at the speed of light.^[6][7] He proposed his law of thermal radiation in 1859, and gave a proof in 1861. Together Kirchhoff and Bunsen invented the spectroscope, which Kirchhoff used to pioneer the identification of the elements in the Sun, showing in 1859 that the Sun contains sodium. He and Bunsen discovered caesium and rubidium in 1861.^[8] At Heidelberg he ran a mathematico-physical seminar, modelled on Franz Ernst Neumann's, with the mathematician Leo Koenigsberger. Among those who attended this seminar were Arthur Schuster and Sofia Kovalevskaya.

He contributed greatly to the field of spectroscopy by formalizing three laws that describe the spectral composition of light emitted by incandescent objects, building substantially on the discoveries of David Alter and Anders Jonas Ångström. In 1862, he was awarded the Rumford Medal for his researches on the fixed lines of the solar spectrum, and on the inversion of the bright lines in the spectra of artificial light.^[a] In 1875 Kirchhoff accepted the first chair dedicated specifically to theoretical physics at Berlin.

He also contributed to optics, carefully solving the wave equation to provide a solid foundation for Huygens' principle (and correct it in the process).^[10][11]

In 1864, he was elected as a member of the American Philosophical Society.^[12]

In 1884, he became foreign member of the Royal Netherlands Academy of Arts and Sciences.^[13]

Kirchhoff died in 1887, and was buried in the St Matthäus Kirchhof Cemetery in Schöneberg, Berlin (just a few meters from the graves of the Brothers Grimm). Leopold Kronecker is buried in the same cemetery.

Kirchhoff's first law is that the algebraic sum of currents in a network of conductors meeting at a point (or node) is zero. The second law is that in a closed circuit, the directed sums of the voltages in the system is zero.

1. A solid, liquid, or dense gas excited to emit light will radiate at all wavelengths and thus produce a continuous spectrum.
2. A low-density gas excited to emit light will do so at specific wavelengths, and this produces an emission spectrum.
3. If light composing a continuous spectrum passes through a cool, low-density gas, the result will be an absorption spectrum.

Kirchhoff did not know about the existence of energy levels in atoms. The existence of discrete spectral lines was known since Fraunhofer discovered them in 1814. And that the lines formed a discrete mathematical pattern was described by Johann Balmer in 1885. Joseph Larmor explained the splitting of the spectral lines in a magnetic field known as the Zeeman Effect by the oscillation of electrons.^[14][15] But these discrete spectral lines were not explained as electron transitions until the Bohr model of the atom in 1913, which helped lead to quantum mechanics.

It was Kirchhoff's law of thermal radiation in which he proposed an unknown universal law for radiation that led Max Planck to the discovery of the quantum of action leading to quantum mechanics.

Kirchhoff showed in 1858 that, in thermochemistry, the variation of the heat of a chemical reaction is given by the difference in heat capacity between products and reactants:

${\displaystyle \left({\frac {\partial \Delta H}{\partial T}}\right)_{p}=\Delta C_{p}}$.

Integration of this equation permits the evaluation of the heat of reaction at one temperature from measurements at another temperature.^[16][17]

Kirchhoff also worked in the mathematical field of graph theory, in which he proved Kirchhoff's matrix tree theorem.

• Gesammelte Abhandlungen (in German). Leipzig: Johann Ambrosius Barth. 1882.
• Vorlesungen über Electricität und Magnetismus (in German). Leipzig: Benedictus Gotthelf Teubner. 1891.
• Vorlesungen über mathematische Physik. 4 vols., B. G. Teubner, Leipzig 1876–1894.
  • Vol. 1: Mechanik. 1. Auflage, B. G. Teubner, Leipzig 1876 (online).
  • Vol. 2: Mathematische Optik. B. G. Teubner, Leipzig 1891 (Herausgegeben von Kurt Hensel, online).
  • Vol. 3: Electricität und Magnetismus. B. G. Teubner, Leipzig 1891 (Herausgegeben von Max Planck, online).
  • Vol. 4: Theorie der Wärme. B. G. Teubner, Leipzig 1894, Herausgegeben von Max Planck^[18]

• Kirchhoff equations
• Kirchhoff integral theorem
• Kirchhoff matrix
• Kirchhoff stress tensor
• Kirchhoff transformation
• Kirchhoff's diffraction formula
• Kirchhoff's perfect black bodies
• Kirchhoff's theorem
• Kirchhoff–Helmholtz integral
• Kirchhoff–Love plate theory
• Piola–Kirchhoff stress
• Saint Venant–Kirchhoff model
• Stokes–Kirchhoff attenuation formula
• Circuit rank
• Computational aeroacoustics
• Flame emission spectroscopy
• Spectroscope
• Kirchhoff Institute of Physics
• List of German inventors and discoverers

• Warburg, E. (1925). "Zur Erinnerung an Gustav Kirchhoff". Die Naturwissenschaften. 13 (11): 205. Bibcode:1925NW.....13..205W. doi:10.1007/BF01558883. S2CID 30039558.
• Stepanov, B. I. (1977). "Gustav Robert Kirchhoff (on the ninetieth anniversary of his death)". Journal of Applied Spectroscopy. 27 (3): 1099. Bibcode:1977JApSp..27.1099S. doi:10.1007/BF00625887. S2CID 95181496.
• Everest, A. S. (1969). "Kirchhoff-Gustav Robert 1824–1887". Physics Education. 4 (6): 341. Bibcode:1969PhyEd...4..341E. doi:10.1088/0031-9120/4/6/304. S2CID 250765281.
• Kirchhoff, Gustav (1860). "Ueber die Fraunhoferschen Linien". Monatsberichte der Königliche Preussische Akademie der Wissenschaften zu Berlin: 662–665. ISBN 978-1-113-39933-5. HathiTrust full text. Partial English translation available in Magie, William Francis, A Source Book in Physics (1963). Cambridge: Harvard University Press. p. 354-360.
• Kirchhoff, Gustav (1860). “IV. Ueber das Verhältniß zwischen dem Emissionsvermögen und dem Absorptionsvermögen der Körper für Wärme und Licht,” Annalen der Physik 185(2), 275–301. (coinage of term “blackbody”) [On the relationship between the emissivity and the absorptivity of bodies for heat and light]

• Gustav Kirchhoff at the Mathematics Genealogy Project
• O'Connor, John J.; Robertson, Edmund F., "Gustav Kirchhoff", MacTutor History of Mathematics Archive, University of St Andrews
• Weisstein, Eric Wolfgang (ed.). "Kirchhoff, Gustav (1824–1887)". ScienceWorld.
• Klaus Hentschel: Gustav Robert Kirchhoff und seine Zusammenarbeit mit Robert Wilhelm Bunsen, in: Karl von Meyenn (Hrsg.) Die Grossen Physiker, Munich: Beck, vol. 1 (1997), pp. 416–430, 475–477, 532–534.
• Klaus Hentschel: Mapping the Spectrum. Techniques of Visual Representation in Research and Teaching, Oxford: OUP, 2002.
• Kirchhoff's 1857 paper on the speed of electrical signals in a wire
• Texts on Wikisource:
  • "Kirchhoff, Gustav Robert". Encyclopedia Americana. 1920.
  • "Kirchhoff, Gustav Robert". The New Student's Reference Work. 1914.
  • "Kirchhoff, Gustav Robert". Encyclopædia Britannica (11th ed.). 1911.
  • "Kirchhoff, Gustav Robert". New International Encyclopedia. 1905.
  • "Sketch of Gustav Robert Kirchhoff". Popular Science Monthly. Vol. 33. May 1888.
  • "Kirchhoff, Gustav Robert". The American Cyclopædia. 1879.

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