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	<title>Physics:Quantum mechanics/Timeline/Pre-quantum era - Revision history</title>
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&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Quantum book backlink|Timeline}}&lt;br /&gt;
&lt;br /&gt;
The &amp;#039;&amp;#039;&amp;#039;pre-quantum era&amp;#039;&amp;#039;&amp;#039; in the history of [[Physics:Quantum mechanics|quantum mechanics]] refers to the period in which [[Physics:Classical mechanics|classical mechanics]], [[Physics:Electromagnetism|electromagnetism]], thermodynamics, and atomic theory developed to great success, but also began to reveal deep failures at microscopic scales. These failures led directly to the [[Physics:Quantum mechanics/Timeline/Old quantum theory|old quantum theory]] and eventually to modern [[Physics:Quantum mechanics|quantum mechanics]].&lt;br /&gt;
&lt;br /&gt;
The major pre-quantum problems included the nature of light, the existence of atoms and electrons, black-body radiation, atomic spectra, and the stability of atoms. The transition from classical physics to [[Physics:Quantum theory|quantum theory]] began when [[Biography:Max Planck|Max Planck]] introduced energy quanta in 1900 to explain black-body radiation.&amp;lt;ref name=&amp;quot;Whittaker&amp;quot;&amp;gt;{{Cite book |last=Whittaker |first=Edmund T. |title=A history of the theories of aether &amp;amp; electricity. 2: The modern theories, 1900 - 1926 |date=1989 |publisher=Dover Publ |isbn=978-0-486-26126-3 |edition=Repr |location=New York}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[File:10 Quantum Mechanics Masters1.jpg|thumb|400px|10 influential figures in the history of quantum mechanics: [[Biography:Max Planck|Max Planck]], [[Biography:Albert Einstein|Albert Einstein]], [[Biography:Niels Bohr|Niels Bohr]], [[Biography:Louis de Broglie|Louis de Broglie]], [[Biography:Max Born|Max Born]], [[Biography:Paul Dirac|Paul Dirac]], [[Biography:Werner Heisenberg|Werner Heisenberg]], [[Biography:Wolfgang Pauli|Wolfgang Pauli]], [[Biography:Erwin Schrödinger|Erwin Schrödinger]], and [[Biography:Richard Feynman|Richard Feynman]].]]&lt;br /&gt;
&lt;br /&gt;
== Classical background ==&lt;br /&gt;
&lt;br /&gt;
Before quantum mechanics, physics was dominated by the achievements of classical mechanics and classical field theory. [[Biography:Isaac Newton|Isaac Newton]]&amp;#039;s mechanics successfully described motion and gravitation, while later developments in thermodynamics, kinetic theory, and electromagnetism extended classical physics into heat, gases, light, electricity, and magnetism.&lt;br /&gt;
&lt;br /&gt;
By the end of the 19th century, many physicists believed that the foundations of physics were nearly complete. Yet several phenomena resisted classical explanation and eventually forced the introduction of discontinuity, quantization, and wave-particle duality.&lt;br /&gt;
&lt;br /&gt;
== Wave theory of light ==&lt;br /&gt;
&lt;br /&gt;
Beginning in the 17th century, Newton defended a corpuscular theory of light, treating light as made of particles. His view competed with the wave theories of [[Biography:Robert Hooke|Robert Hooke]], [[Biography:Christiaan Huygens|Christiaan Huygens]], and later [[Biography:Augustin-Jean Fresnel|Augustin-Jean Fresnel]].&amp;lt;ref name=&amp;quot;Whittaker&amp;quot; /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The wave theory gained strong support after [[Biography:Thomas Young (scientist)|Thomas Young]] demonstrated light interference in the early 19th century. Young&amp;#039;s double-slit work showed that light could produce interference patterns, a behavior naturally explained by waves.&amp;lt;ref&amp;gt;{{cite journal|last=Young|first=Thomas|title=Bakerian Lecture: Experiments and calculations relative to physical optics|journal=Philosophical Transactions of the Royal Society|year=1804|volume=94|pages=1–16 |url=https://books.google.com/books?id=7AZGAAAAMAAJ&amp;amp;pg=PA1|bibcode=1804RSPT...94....1Y|doi=10.1098/rstl.1804.0001|s2cid=110408369|doi-access=free|url-access=subscription}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
By the mid-19th century, the wave view dominated. [[Biography:James Clerk Maxwell|James Clerk Maxwell]] then showed that light could be understood as an electromagnetic wave, unifying optics with electricity and magnetism.&amp;lt;ref name=&amp;quot;Whittaker&amp;quot; /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Atomic theory and kinetic theory ==&lt;br /&gt;
&lt;br /&gt;
The atomic theory of matter gained strength through chemical work by [[Biography:John Dalton|John Dalton]] and [[Biography:Amedeo Avogadro|Amedeo Avogadro]], and through the kinetic theory of gases developed by Maxwell, [[Biography:Ludwig Boltzmann|Ludwig Boltzmann]], and others.&amp;lt;ref name=&amp;quot;Feynman-kinetic-theory&amp;quot;&amp;gt;{{cite book |last1=Feynman |first1=Richard |last2=Leighton |first2=Robert |last3=Sands |first3=Matthew |title=The Feynman Lectures on Physics |volume=1 |publisher=California Institute of Technology |date=1964 |url=https://feynmanlectures.caltech.edu/I_40.html |isbn=978-0-201-50064-6 |access-date=30 September 2021}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Kinetic theory explained gases in terms of atoms and molecules in motion, but the reality of atoms remained controversial. Some physicists, including [[Biography:Ernst Mach|Ernst Mach]], resisted atomism.&amp;lt;ref&amp;gt;{{Citation|last=Pojman|first=Paul|title=Ernst Mach|date=2020|url=https://plato.stanford.edu/archives/win2020/entries/ernst-mach/|encyclopedia=The Stanford Encyclopedia of Philosophy|editor-last=Zalta|editor-first=Edward N.|edition=Winter 2020|publisher=Metaphysics Research Lab, Stanford University|access-date=2021-09-30}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Boltzmann also suggested in 1877 that the energy levels of physical systems might be discrete, an idea that anticipated later quantum reasoning.&lt;br /&gt;
&lt;br /&gt;
== Electrons and atomic structure ==&lt;br /&gt;
&lt;br /&gt;
In the late 19th century, [[Biography:J. J. Thomson|J. J. Thomson]] showed that cathode rays consisted of negatively charged particles later called [[Physics:Quantum atoms/electron|electron]]s. These particles had a mass far smaller than that of the hydrogen ion, showing that atoms contained smaller constituents.&amp;lt;ref name=&amp;quot;Whittaker&amp;quot; /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Thomson proposed the [[Physics:Quantum plum pudding model|plum pudding model]], in which electrons were embedded in a diffuse positive charge. This model was later overturned by the scattering experiments of [[Biography:Hans Geiger|Hans Geiger]] and [[Biography:Ernest Marsden|Ernest Marsden]], interpreted by [[Biography:Ernest Rutherford|Ernest Rutherford]] as evidence for a compact atomic nucleus.&amp;lt;ref name=&amp;quot;Kragh2010&amp;quot;&amp;gt;Helge Kragh (Oct. 2010). [https://css.au.dk/fileadmin/reposs/reposs-010.pdf Before Bohr: Theories of atomic structure 1850-1913]. RePoSS: Research Publications on Science Studies 10. Aarhus: Centre for Science Studies, University of Aarhus.&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;Heilbron1968&amp;quot;&amp;gt;{{Cite journal |last=Heilbron |first=John L. |date=1968 |title=The Scattering of α and β Particles and Rutherford&amp;#039;s Atom |journal=Archive for History of Exact Sciences |volume=4 |issue=4 |pages=247–307 |doi=10.1007/BF00411591 |jstor=41133273 |issn=0003-9519}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Radiation theory and black-body radiation ==&lt;br /&gt;
&lt;br /&gt;
[[File:Black body.svg|thumb|400px|right|Black-body radiation curves. Classical theory fails at short wavelengths, leading to the ultraviolet catastrophe.]]&lt;br /&gt;
&lt;br /&gt;
The study of thermal radiation became one of the decisive problems that classical physics could not solve. Experiments measured the spectrum of radiation emitted by hot bodies, but no classical formula could explain the full curve.&lt;br /&gt;
&lt;br /&gt;
At long wavelengths, the [[Physics:Quantum Rayleigh–Jeans law|Rayleigh–Jeans law]] worked well, but at short wavelengths it predicted an infinite emission of energy. This failure became known as the [[Physics:Quantum ultraviolet catastrophe|ultraviolet catastrophe]].&lt;br /&gt;
&lt;br /&gt;
By contrast, empirical relations such as [[Physics:Quantum Wien&amp;#039;s displacement law|Wien&amp;#039;s displacement law]] and the [[Physics:Quantum Stefan–Boltzmann law|Stefan–Boltzmann law]] described parts of the phenomenon but did not provide a complete microscopic explanation.&lt;br /&gt;
&lt;br /&gt;
== Planck and the first quantum idea ==&lt;br /&gt;
&lt;br /&gt;
In 1900, [[Biography:Max Planck|Max Planck]] proposed a model that reproduced the observed black-body spectrum. To do so, he assumed that oscillators could emit or absorb energy only in discrete units rather than continuously.&amp;lt;ref&amp;gt;This result was published as {{Cite journal|first=Max |last=Planck |author-link=Max Planck |title=Ueber das Gesetz der Energieverteilung im Normalspectrum |journal=Annalen der Physik |year=1901 |volume=309 |issue=3 |pages=553–563 |doi=10.1002/andp.19013090310 |bibcode=1901AnP...309..553P |doi-access=free }}. English translation: {{cite web |url=http://dbhs.wvusd.k12.ca.us/webdocs/Chem-History/Planck-1901/Planck-1901.html |title=On the Law of Distribution of Energy in the Normal Spectrum |archive-url=https://web.archive.org/web/20080418002757/http://dbhs.wvusd.k12.ca.us/webdocs/Chem-History/Planck-1901/Planck-1901.html |archive-date=18 April 2008 }}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The energy quantum was proportional to frequency:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;E = h\nu&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;h&amp;lt;/math&amp;gt; is now called the [[Physics:Planck constant|Planck constant]]. Planck&amp;#039;s law was the first quantum theory in physics, although Planck initially viewed quantization as a mathematical device rather than a fundamental property of nature.&amp;lt;ref name=&amp;quot;Kragh&amp;quot;&amp;gt;{{Cite web |first=Helge |last=Kragh |url=http://physicsworld.com/cws/article/print/373 |title=Max Planck: the reluctant revolutionary |publisher=PhysicsWorld.com |date=1 December 2000 |access-date=7 December 2009 |archive-date=1 April 2012 |archive-url=https://web.archive.org/web/20120401221617/http://physicsworld.com/cws/article/print/373 }}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Planck received the 1918 Nobel Prize in Physics for his discovery of energy quanta.&amp;lt;ref&amp;gt;{{cite web |url=http://nobelprize.org/nobel_prizes/physics/laureates/1918/ |title=The Nobel Prize in Physics 1918 |publisher=Nobel Foundation |access-date=2009-08-01}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Photoelectric effect ==&lt;br /&gt;
&lt;br /&gt;
[[File:Photoelectric effect in a solid - diagram.svg|thumb|400px|right|In the photoelectric effect, light ejects electrons from a metal surface only if the frequency is high enough.]]&lt;br /&gt;
&lt;br /&gt;
In 1887, [[Biography:Heinrich Hertz|Heinrich Hertz]] observed that ultraviolet light could affect electrical discharge and cause emission from metallic surfaces.&amp;lt;ref name=&amp;quot;Whittaker&amp;quot; /&amp;gt; Later, [[Biography:Philipp Lenard|Philipp Lenard]] showed that the energy of emitted electrons depended on the frequency of light, not its intensity.&amp;lt;ref&amp;gt;{{cite journal |title=Philipp Lenard and the Photoelectric Effect, 1889-1911 |first=Bruce R. |last=Wheaton |journal=Historical Studies in the Physical Sciences |volume=9 |year=1978 |pages=299–322 |doi=10.2307/27757381 |jstor=27757381}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This contradicted classical wave theory, which predicted that increasing light intensity should increase the energy of the emitted electrons.&lt;br /&gt;
&lt;br /&gt;
In 1905, [[Biography:Albert Einstein|Albert Einstein]] explained the effect by proposing that light energy is delivered in localized packets, later called photons. The energy of each light quantum is&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;E = hf&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;f&amp;lt;/math&amp;gt; is frequency.&amp;lt;ref name=&amp;quot;Einstein-photoelectric&amp;quot;&amp;gt;{{cite journal |last=Einstein |first=Albert |author-link=Albert Einstein |title=Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt |journal=Annalen der Physik |volume=17 |pages=132–148 |year=1905 |bibcode=1905AnP...322..132E |doi=10.1002/andp.19053220607 |issue=6 |doi-access=free}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Einstein&amp;#039;s theory extended Planck&amp;#039;s quantum idea from black-body oscillators to light itself. He later received the 1921 Nobel Prize in Physics for his work on the photoelectric effect.&amp;lt;ref&amp;gt;{{cite web|title=The Nobel Prize in Physics 1921|publisher=Nobel Foundation|url=https://www.nobelprize.org/prizes/physics/1921/summary/}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Atomic spectra ==&lt;br /&gt;
&lt;br /&gt;
A major pre-quantum puzzle was the existence of discrete spectral lines. When gases such as hydrogen are excited, they emit light only at specific frequencies rather than across a continuous spectrum.&lt;br /&gt;
&lt;br /&gt;
In 1885, [[Biography:Johann Jakob Balmer|Johann Balmer]] found a mathematical formula describing visible hydrogen spectral lines. In 1888, [[Biography:Johannes Rydberg|Johannes Rydberg]] generalized the formula:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\frac{1}{\lambda} = R \left(\frac{1}{m^2} - \frac{1}{n^2}\right)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is the [[Physics:Quantum Rydberg constant|Rydberg constant]].&amp;lt;ref name=&amp;quot;taylor_147-8&amp;quot;&amp;gt;{{cite book|last1=Taylor|first1=J. R.|last2=Zafiratos|first2=C. D.|last3=Dubson|first3=M. A.|year=2004|title=Modern Physics for Scientists and Engineers|publisher=Prentice Hall|pages=147–148|isbn=0-13-589789-0}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
These formulas worked extremely well but had no classical explanation. Their use of integers strongly suggested that atomic structure involved discrete allowed states.&lt;br /&gt;
&lt;br /&gt;
== The Bohr transition ==&lt;br /&gt;
&lt;br /&gt;
[[File:Bohr model 3.jpg|thumb|400px|right|Niels Bohr&amp;#039;s 1913 quantum model of the hydrogen atom.]]&lt;br /&gt;
&lt;br /&gt;
In 1913, [[Biography:Niels Bohr|Niels Bohr]] used Planck&amp;#039;s quantum hypothesis to construct a model of the hydrogen atom. He proposed that electrons could occupy only certain allowed orbits and could emit or absorb radiation only when jumping between them.&lt;br /&gt;
&lt;br /&gt;
The Bohr model explained the Rydberg formula for hydrogen by connecting spectral lines to transitions between quantized electron orbits.&amp;lt;ref name=&amp;quot;Heilbron1969&amp;quot;&amp;gt;{{cite journal |last1=Heilbron |first1=John L. |last2=Kuhn |first2=Thomas S. |title=The Genesis of the Bohr Atom |journal=Historical Studies in the Physical Sciences |publisher=University of California Press |volume=1 |date=1969-01-01 |issn=0073-2672 |doi=10.2307/27757291 |pages=vi–290 |jstor=27757291}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Although the Bohr model was later replaced by modern quantum mechanics, it marked a decisive step from the pre-quantum era to the old quantum theory.&lt;br /&gt;
&lt;br /&gt;
== Significance ==&lt;br /&gt;
&lt;br /&gt;
The pre-quantum era is important because it revealed where classical physics failed. The failures were not minor technical problems but signs of a deeper structure of nature.&lt;br /&gt;
&lt;br /&gt;
The key lessons were:&lt;br /&gt;
&lt;br /&gt;
* Light behaves both as a wave and as localized quanta.&lt;br /&gt;
* Matter is composed of atoms and subatomic particles.&lt;br /&gt;
* Atomic spectra are discrete rather than continuous.&lt;br /&gt;
* Energy exchange at microscopic scales can be quantized.&lt;br /&gt;
* Classical mechanics and electromagnetism are incomplete at atomic scales.&lt;br /&gt;
&lt;br /&gt;
These developments prepared the way for the old quantum theory and, after 1925, for modern quantum mechanics.&lt;br /&gt;
&lt;br /&gt;
=See also=&lt;br /&gt;
{{#invoke:PhysicsQC|tocHeadingAndList|Physics:Quantum basics/See also}}&lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
{{reflist|3}}&lt;br /&gt;
&lt;br /&gt;
{{Author|Harold Foppele}}&lt;br /&gt;
{{Sourceattribution|Physics:Quantum mechanics/Timeline/Pre-quantum era|1}}&lt;/div&gt;</summary>
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