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German physicist and mathematician (1824–1887)
Gustav Robert Kirchhoff (German: [ˈgʊstaːf ˈʁoːbɛʁt ˈkɪʁçhɔf]; 12 March 1824 – 17 October 1887) was a German physicist and mathematician who contributed
Gustav_Kirchhoff
Two equalities that deal with the current and potential difference
electrical circuits. They were first described in 1845 by German physicist Gustav Kirchhoff. This generalized the work of Georg Ohm and preceded the work of James
Kirchhoff's_circuit_laws
Theory used to determine the stresses and deformations in thin plates
in 1888 by Augustus Edward Hough Love using assumptions proposed by Gustav Kirchhoff. The theory assumes that a mid-surface plane can be used to represent
Kirchhoff–Love_plate_theory
On the number of spanning trees in a graph
named after the German mathematician Gustav Kirchhoff, who published it in 1847. An English translation of Kirchhoff's paper was published in 1958. Let G
Kirchhoff's_theorem
Thermal electromagnetic radiation
beyond violet, ultraviolet). The term black body was introduced by Gustav Kirchhoff in 1860. Black-body radiation is also called thermal radiation, cavity
Black-body_radiation
Topics referred to by the same term
Kirchhoff's laws, named after Gustav Kirchhoff, may refer to: Kirchhoff's circuit laws in electrical engineering Kirchhoff's law of thermal radiation Kirchhoff
Kirchhoff's_laws
Spectral density of light emitted by a black body
wavelengths. Gustav Kirchhoff was Max Planck's teacher and surmised that there was a universal law for blackbody radiation and this was called "Kirchhoff's challenge"
Planck's_law
Law of wavelength-specific emission and absorption
dynamics, also known as microscopic reversibility. It was stated by Gustav Kirchhoff in 1860. A body at temperature T radiates electromagnetic energy. A
Kirchhoff's law of thermal radiation
Kirchhoff's_law_of_thermal_radiation
German chemist (1811–1899)
in 1861 with the physicist Gustav Kirchhoff. The Bunsen–Kirchhoff Award for spectroscopy is named after Bunsen and Kirchhoff. Bunsen also developed several
Robert_Bunsen
Chemical element with atomic number 37 (Rb)
the estimated age of the universe. German chemists Robert Bunsen and Gustav Kirchhoff discovered rubidium in 1861 by the newly developed technique, flame
Rubidium
The Kirchhoff stress ( τ {\displaystyle {\boldsymbol {\tau }}} ). The nominal stress ( N {\displaystyle {\boldsymbol {N}}} ). The Piola–Kirchhoff stress
Alternative_stress_measures
Motion of rigid body in ideal fluid
In fluid dynamics, the Kirchhoff equations, named after Gustav Kirchhoff, describe the motion of a rigid body in an ideal fluid. d d t ∂ T ∂ ω = ∂ T ∂
Kirchhoff_equations
Stress case in finite deformations
case of finite deformations, the Piola–Kirchhoff stress tensors (named for Gabrio Piola and Gustav Kirchhoff) express the stress relative to the reference
Piola–Kirchhoff stress tensors
Piola–Kirchhoff_stress_tensors
Surname list
director Gustav Kirchhoff (1824–1887), German physicist — Kirchhoff's laws in electricity, spectroscopy, thermochemistry Gottlieb Kirchhoff (1764–1833)
Kirchhoff
German mathematician (1804–1851)
Carl Gustav Jacob Jacobi (/jɑːˈkoʊbiˌ dʒəˈkoʊbi/; German: [jaˈkoːbi]; 10 December 1804 – 18 February 1851) was a German mathematician who made fundamental
Carl_Gustav_Jacob_Jacobi
Chemical element with atomic number 55 (Cs)
about 260 picometres. The German chemist Robert Bunsen and physicist Gustav Kirchhoff discovered caesium in 1860 by the then newly developed method of flame
Caesium
Method to solve scalar wave equation
The Kirchhoff integral theorem (sometimes referred to as the Fresnel–Kirchhoff integral theorem) is a surface integral to obtain the value of the solution
Kirchhoff_integral_theorem
Masculine given name
psychology Gustav Ritter von Kahr (1862–1934), German right-wing politician in Bavaria Gustaf Kalliokangas (1873–1940), Finnish president Gustav Kirchhoff (1824–1887)
Gustav_(name)
Physics formula
Kirchhoff's diffraction formula (also called Fresnel–Kirchhoff diffraction formula) approximates light intensity and phase in optical diffraction: light
Kirchhoff's diffraction formula
Kirchhoff's_diffraction_formula
Overview of Germany's handling with science and technology
The prize is named in honor of chemist Robert Bunsen and physicist Gustav Kirchhoff (→ Physics). The Helmholtz Prize is awarded with €20,000 every two
Science and technology in Germany
Science_and_technology_in_Germany
Law of electrical current and voltage
of resistivity ρ (rho). This reformulation of Ohm's law is due to Gustav Kirchhoff. In January 1781, before Georg Ohm's work, Henry Cavendish experimented
Ohm's_law
German mathematician (1811–1874)
Academy of Sciences. His doctoral students include Olaus Henrici, Gustav Kirchhoff, Jacob Lüroth, Adolph Mayer, Carl Neumann, Max Noether, Ernst Schröder
Otto_Hesse
Spectral lines in the Sun's spectrum
sunlight can detect many thousands of lines. About 45 years later, Gustav Kirchhoff and Robert Bunsen noticed that several Fraunhofer lines coincide with
Fraunhofer_lines
Chemistry award
The prize is named in honor of chemist Robert Bunsen and physicist Gustav Kirchhoff. 1990 Günter Snatzke, Germany 1991 Hannes Aiginger, Austria; Peter
Bunsen–Kirchhoff_Award
Robert Bunsen: Chemist who developed the Bunsen burner, and with Gustav Kirchhoff he invented the spectrometer (1859) and discovered caesium (1860) and
List of German inventors and discoverers
List_of_German_inventors_and_discoverers
Process in chemistry to detect certain elements
sky-blue and dark red was observed in spectral emissions by Bunsen and Gustav Kirchhoff, leading to the discovery of two alkali metals, caesium (sky blue)
Flame_test
Idealised cavity in radiative equilibrium
equilibrium with the radiant energy within the cavity. First proposed by Gustav Kirchhoff in 1860 and used in the study of black-body radiation (Hohlraumstrahlung)
Hohlraum
Frequencies of light emitted by atoms or chemical compounds
independent observation of the Balmer lines of hydrogen. By 1859, Gustav Kirchhoff and Robert Bunsen noticed that several Fraunhofer lines (lines in the
Emission_spectrum
German physicist (1858–1947)
Berlin for a year of study with physicists Hermann von Helmholtz and Gustav Kirchhoff and mathematician Karl Weierstrass. He wrote that Helmholtz was never
Max_Planck
Study of the separation, identification, and quantification of matter
analysis was flame emissive spectrometry, developed by Robert Bunsen and Gustav Kirchhoff, who discovered rubidium (Rb) and caesium (Cs) in 1860. Most of the
Analytical_chemistry
Fewest graph edges whose removal breaks all cycles
forest. The concept was introduced and called the cyclomatic number by Gustav Kirchhoff. The cyclomatic number of a graph equals the number of independent
Cyclomatic_number
Public university in Wrocław, Poland
lectured at the University of Breslau, Peter Gustav Lejeune Dirichlet, Ferdinand Cohn, and Gustav Kirchhoff among them. In 1817, Poles made up around 16%
University_of_Wrocław
Study involving matter and electromagnetic radiation
quantitation of a sample's elemental composition. After Robert Bunsen and Gustav Kirchhoff invented the spectroscope, Bunsen discovered cesium and rubidium by
Spectroscopy
Theorem in electrical circuit analysis
published by Gustav Kirchhoff in 1848. Like Helmholtz, Kirchhoff was concerned with three-dimensional, electrically conducting systems. Kirchhoff considered
Thévenin's_theorem
How the term nonmetal is used in many disciplines
through K and weaker lines with other letters. About 45 years later, Gustav Kirchhoff and Robert Bunsen noticed that several Fraunhofer lines coincide with
Nonmetallic_material
German physicist (1857–1894)
German cities of Dresden, Munich, and Berlin, where he studied under Gustav Kirchhoff and Hermann von Helmholtz. In 1880, Hertz obtained his Ph.D. from the
Heinrich_Hertz
Analytical method using radiation to identify chemical elements in a sample
important tool for identifying the makeup of materials. Robert Bunsen and Gustav Kirchhoff were the first to establish atomic emission spectroscopy as a tool
Atomic_emission_spectroscopy
Idealized physical body that absorbs all incident electromagnetic radiation
it be stifled and lost? The idealized black body was described by Gustav Kirchhoff in 1860 as follows: ...the supposition that bodies can be imagined
Black_body
Capacity of an object to radiate electromagnetic energy
In 1860, Gustav Kirchhoff published a mathematical description of their relationship under conditions of thermal equilibrium (i.e. Kirchhoff's law of thermal
Emissivity
Dutch physicist (1853–1926)
following year. From 1871 to 1873, he studied under Robert Bunsen and Gustav Kirchhoff at the University of Heidelberg. He then returned to Groningen, obtaining
Heike_Kamerlingh_Onnes
Relative abundance of heavy elements in a star or other astronomical object
through K and weaker lines with other letters. About 45 years later, Gustav Kirchhoff and Robert Bunsen noticed that several Fraunhofer lines coincide with
Metallicity
Subfield of astronomy
or no light) were observed in the spectrum. By 1860 the physicist, Gustav Kirchhoff, and the chemist, Robert Bunsen, had demonstrated that the dark lines
Astrophysics
Austrian mathematician and theoretical physicist (1844–1906)
Heidelberg working with Robert Bunsen and Leo Königsberger and in 1871 with Gustav Kirchhoff and Hermann von Helmholtz in Berlin. In 1873, Boltzmann joined the
Ludwig_Boltzmann
departments at the University of Heidelberg. The institute is named after Gustav Kirchhoff, who collaborated in Heidelberg in 1854 with Robert Bunsen in spectroscopic
Heidelberg University Faculty of Physics and Astronomy
Heidelberg_University_Faculty_of_Physics_and_Astronomy
German instrument maker
essential to the invention of the spectroscope by Robert Bunsen and Gustav Kirchhoff. Peter Desaga's son, Carl Desaga, founded C. Desaga. Louis Rosenfeld
Peter_Desaga
German mathematician (1823–1891)
Alter St Matthäus Kirchhof cemetery in Berlin-Schöneberg, close to Gustav Kirchhoff. An important part of Kronecker's research focused on number theory
Leopold_Kronecker
Phyllosilicate mineral series in the trioctahedral mica group
major source of the alkali metal rubidium. In 1861, Robert Bunsen and Gustav Kirchhoff extracted 150 kg (330 lb) of lepidolite to yield a few grams of rubidium
Lepidolite
Method of analysis applied to problems wave propagation
theory of light over then predominant corpuscular theory. In 1882, Gustav Kirchhoff analyzed Fresnel's theory in a rigorous mathematical formulation, as
Huygens–Fresnel_principle
Crater on the Moon
Kirchhoff is a small lunar impact crater that is located in the northern part of the Montes Taurus range. It was named after German physicist Gustav Kirchhoff
Kirchhoff_(crater)
Calendar year
12 – Dinah Craik, English novelist and poet (b. 1826) October 17 – Gustav Kirchhoff, German physicist (b. 1824) October 21 – Bernard Jauréguiberry, French
1887
Italian award for physicists, named after Carlo Matteucci
von Helmholtz 1875 Henri Victor Regnault 1876 Lord Kelvin 1877 Gustav Kirchhoff 1878 Gustav Wiedemann 1879 Wilhelm Eduard Weber 1880 Antonio Pacinotti 1881
Matteucci_Medal
Hermann August Hagen (1817–1893) Cambridge, U.S., German entomologist Gustav Kirchhoff (1824–1887), physicist and spectroscopist Karl Rudolf König (1832–1901)
List of people from Königsberg
List_of_people_from_Königsberg
Ohm 1833: Magnetometer by Carl Friedrich Gauss 1845: Kirchhoff's circuit laws by Gustav Kirchhoff 1850: Formulation of the first and second law of thermodynamics
List of German inventions and discoveries
List_of_German_inventions_and_discoveries
German physicist (1787–1826)
stars, in regard to the stripes, seem to differ among themselves. See: Gustav Kirchhoff (1859) "Ueber die Fraunhofer'schen Linien" (On Fraunhofer's lines)
Joseph_von_Fraunhofer
Calendar year
industrialist and politician, 8th Governor of California (d. 1893) March 12 – Gustav Kirchhoff, German physicist (d. 1887) March 19 – William Allingham, Irish author
1824
Branch of thermodynamics
did not raise the temperature but instead caused some ice to melt. Gustav Kirchhoff showed in 1858 that the variation of the heat of reaction is given
Thermochemistry
Russian mathematician (1850–1891)
physics and mathematics under such teachers as Hermann von Helmholtz, Gustav Kirchhoff and Robert Bunsen. Vladimir, meanwhile, went on to the University of
Sofya_Kovalevskaya
Area of discrete mathematics
such a use comes from the work of the physicist Gustav Kirchhoff, who published in 1845 his Kirchhoff's circuit laws for calculating the voltage and current
Graph_theory
Swedish physicist (1814–1874)
from meningitis, shortly before his sixtieth birthday. Johann Balmer Gustav Kirchhoff Theodore Lyman Friedrich Paschen Janne Rydberg Spectrum analysis P
Anders_Jonas_Ångström
(1904–2005), American diplomat, political scientist and historian Gustav Kirchhoff (1824–1887), physicist Philip Klein (1849–1926), rabbi Paul Alfred
List of Humboldt University of Berlin people
List_of_Humboldt_University_of_Berlin_people
Proposed element found in astronomical observation of a nebula
in 1814 described the dark lines within the solar spectrum. Later, Gustav Kirchhoff explained the lines by atomic absorption or emission, which allowed
Nebulium
Branch of dynamics concerned with studying the motion of air
aerodynamic forces. Drag theories were developed by Jean Le Rond d'Alembert, Gustav Kirchhoff, and Lord Rayleigh. In 1889, Charles Renard, a French aeronautical
Aerodynamics
German mathematician (1844–1921)
in the Soviet Union in 1941. Little is known about their fourth child, Gustav Robert, born in 1889; he suffered from continual illness and died in 1928
Max_Noether
German physician and chemist (1830–1895)
the hemoglobin in blood. Influenced by the mathematical teaching of Gustav Kirchhoff, he took up the study of mathematical physics at the University of
Lothar_Meyer
Ketterle Karl-Otto Kiepenheuer Karl Johann Kiessling Erhard Kietz Gustav Kirchhoff Hans Volker Klapdor-Kleingrothaus Hagen Kleinert Ewald Georg von Kleist
List_of_German_physicists
Interference phenomenon of waves
diffraction model. In 1859 Hermann von Helmholtz and later in 1882 Gustav Kirchhoff developed integral equations for diffraction based on the concepts
Diffraction
Electromagnetic radiation generated by the thermal motion of particles
all-pervading medium. In 1860, Gustav Kirchhoff published a mathematical description of thermal equilibrium (i.e. Kirchhoff's law of thermal radiation).In
Thermal_radiation
Hamilton: Hamiltonian mechanics George Gabriel Stokes: fluid mechanics Gustav Kirchhoff: theory of plates Josiah Willard Gibbs: thermodynamics Heinrich Rudolf
Mechanician
Rate of travel of electric energy
solve the telegraph problem. The cable was laid but failed. In 1857 Gustav Kirchhoff derived similar formulas, showing that an ideal, perfectly conducting
Speed_of_electricity
German physicist (1843–1912)
Gustav Kirchhoff, one of the leading theoretical physicists of the day, and to the Polytechnische Schule in Karlsruhe, where in 1870 he became Gustav
Heinrich_Friedrich_Weber
Formula for sound intensity loss in a Newtonian fluid
effect of thermal conductivity was proposed by the German physicist Gustav Kirchhoff in 1868. Sound attenuation in fluids is also accompanied by acoustic
Stokes's law of sound attenuation
Stokes's_law_of_sound_attenuation
Nobel laureate Toichiro Kinoshita – Japan, United States (1925–2023) Gustav Kirchhoff – Germany (1824–1887) Oskar Klein – Sweden (1894–1977) Hagen Kleinert
List_of_physicists
Former university in Königsberg, East Prussia (1544–1945)
Friedrich Wilhelm Bessel Gábor Szegő Gotthilf Heinrich Ludwig Hagen Gustav Kirchhoff Hermann von Helmholtz Hermann Minkowski Hugo Blümner (1844–1919), classical
University_of_Königsberg
Measurement of electromagnetic radiation for astronomy
allowed scientists to see dark lines of an unknown origin. In the 1850s, Gustav Kirchhoff and Robert Bunsen described the phenomena behind these dark lines.
Astronomical_spectroscopy
Adages and sayings named after a person
Kirchhoff's laws are named after Gustav Kirchhoff and cover thermodynamics, thermochemistry, electrical circuits and spectroscopy (see Kirchhoff's laws
List of laws named after people
List_of_laws_named_after_people
Day of the year
(died 1882) 1823 – Katsu Kaishū, Japanese statesman (died 1899) 1824 – Gustav Kirchhoff, Russian-German physicist and academic (died 1887) 1832 – Charles Boycott
March_12
German chemist and entrepreneur (1835–1911)
Heidelberg University under the supervision of Gustav Kirchhoff in physics, Robert Bunsen in chemistry and Gustav Leonhardt in mineralogy, receiving a PhD in
Eugen_de_Haën
German mathematician and physicist (1801–1868)
spectroscopic investigation. He anticipated Robert Wilhelm Bunsen and Gustav Kirchhoff in announcing that the lines of the spectrum were characteristic of
Julius_Plücker
World's fair held in Paris, France, in 1881
later became Lord Kelvin), Hermann von Helmholtz, Rudolf Clausius, Gustav Kirchhoff, Gustav Heinrich Wiedemann, Carl Wilhelm Siemens and his brother the industrialist
International Exposition of Electricity
International_Exposition_of_Electricity
Roughly, the number of k-dimensional holes on a topological surface
|V|. It is also called the cyclomatic number—a term introduced by Gustav Kirchhoff before Betti's paper. See cyclomatic complexity for an application
Betti_number
polynomial Lord Kelvin: Kelvin function Kibble–Slepian formula Gustav Kirchhoff: Kirchhoff polynomial Tom H. Koornwinder: Koornwinder polynomial Kostka
List of eponyms of special functions
List_of_eponyms_of_special_functions
The IEEE Gustav Robert Kirchhoff Award is a Technical Field Award established by the IEEE Board of Directors in 2003. This award is presented for outstanding
IEEE Gustav Robert Kirchhoff Award
IEEE_Gustav_Robert_Kirchhoff_Award
Day of the year
1810) 1868 – Laura Secord, Canadian war heroine (born 1775) 1887 – Gustav Kirchhoff, German physicist and chemist (born 1824) 1889 – Nikolay Chernyshevsky
October_17
Award for advances in astrophysics
medal selected the German physicist Gustav Kirchhoff for his work on the science of spectroscopy. However, Kirchhoff died aged 63 on 17 October 1887, a
Janssen Medal (French Academy of Sciences)
Janssen_Medal_(French_Academy_of_Sciences)
Obsolete postulated medium for the propagation of light
electromagnetic unit of charge is the speed of light c. The following year, Gustav Kirchhoff wrote a paper in which he showed that the speed of a signal along an
Luminiferous_aether
Norwegian mathematician and physicist
these baffling phenomena. Such celebrities as Hermann von Helmholtz, Gustav Kirchhoff, William Thomson (Lord Kelvin), the Siemens brothers, and the Marquis
Carl_Anton_Bjerknes
German mathematician (1821–1881)
Ernst Neumann. In Königsberg Heine got in contact with fellow students Gustav Kirchhoff and Philipp Ludwig von Seidel. In 1844 Heine went for a teaching position
Eduard_Heine
Chemical element with atomic number 81 (Tl)
of the improved method of flame spectroscopy by Robert Bunsen and Gustav Kirchhoff and the discovery of caesium and rubidium in the years 1859 to 1860
Thallium
French physicist (1845–1921)
study methods of teaching science. He worked with Wilhelm Kühne and Gustav Kirchhoff at the University of Heidelberg, receiving a Doctor of Philosophy with
Gabriel_Lippmann
Johann Kies Arthur Scott King Edward Skinner King Gottfried Kirch Gustav Kirchhoff Harold Knox-Shaw Rudolf König Sofia Kovalevskaya M.A. Koval'sky Adam
List of people with craters of the Moon named after them
List_of_people_with_craters_of_the_Moon_named_after_them
Generalized function whose value is zero everywhere except at zero
Fourier integrals. Gustav Kirchhoff employed it in a paper applying Green's theorem in wave optics (Huygens' principle). Kirchhoff, Hermann von Helmholtz
Dirac_delta_function
St.-Matthäus-Kirchhof Berlin. Burial site of the Brothers Grimm and Gustav Kirchhoff. (See de:Alter St.-Matthäus-Kirchhof Berlin) Spandau, In den Kisseln
List_of_cemeteries_in_Berlin
Description of physical properties at the atomic and subatomic scale
called electrons. The black-body radiation problem was discovered by Gustav Kirchhoff in 1859. In 1900, Max Planck proposed the hypothesis that energy is
Quantum_mechanics
Introduced statistical mechanics with the Maxwell distribution 1861 – Gustav Kirchhoff: Black body 1861–62 – Maxwell's equations 1863 – Rudolf Clausius: Entropy
Timeline of fundamental physics discoveries
Timeline_of_fundamental_physics_discoveries
Scientific study of celestial objects
dark lines in the spectrum of the sun and of other stars. In 1859, Gustav Kirchhoff ascribed these lines to the presence of different elements. In the
Astronomy
Research facility for astrophysics in Germany
the middle of the 19th century spectral analysis was developed by Gustav Kirchhoff and Robert Bunsen. It enabled the acquisition of information on the
Leibniz Institute for Astrophysics Potsdam
Leibniz_Institute_for_Astrophysics_Potsdam
Textbook by Paul Dirac
been used in the nineteenth century by multiple scholars, such as Gustav Kirchhoff in a paper on the Huygens principle in optics and by Oliver Heaviside
The Principles of Quantum Mechanics
The_Principles_of_Quantum_Mechanics
German mathematician (1841–1902)
mathematics at Heidelberg, Königsberg, and Zürich, under Otto Hesse, Gustav Kirchhoff, and Franz Neumann. After teaching school for a few years, he moved
Ernst Schröder (mathematician)
Ernst_Schröder_(mathematician)
inventor, chemist, discovered the elements caesium and rubidium with Gustav Kirchhoff and invented the Bunsen burner Jeanne Burbank (1915–2002), American
List_of_chemists
that carbon is tetravalent, or forms exactly four chemical bonds. Gustav Kirchhoff and Robert Bunsen lay the foundations of spectroscopy as a means of
Timeline_of_chemistry
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