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• Planck_constant abstract "The Planck constant (denoted h, also called Planck's constant) is a physical constant that is the quantum of action in quantum mechanics. Published in 1900, it originally described the proportionality constant between the energy (E) of a charged atomic oscillator in the wall of a black body, and the frequency (ν) of its associated electromagnetic wave. Its relevance is now integral to the field of quantum mechanics, describing the relationship between energy and frequency, commonly known as the Planck relation:In 1905 the value (E), the energy of a charged atomic oscillator, was theoretically associated with the energy of the electromagnetic wave itself, representing the minimum amount of energy required to form an electromagnetic field (a "quantum"). Further investigation of quanta revealed behaviour associated with an independent unit ("particle") as opposed to an electromagnetic wave and was eventually given the term photon. The Planck relation now describes the energy of each photon in terms of the photon's frequency. This energy is extremely small in terms of ordinary experience.Since the frequency , wavelength λ, and speed of light c are related by λν = c, the Planck relation for a photon can also be expressed asThe above equation leads to another relationship involving the Planck constant. Given p for the linear momentum of a particle (not only a photon, but other particles as well), the de Broglie wavelength λ of the particle is given byIn applications where frequency is expressed in terms of radians per second ("angular frequency") instead of cycles per second, it is often useful to absorb a factor of 2π into the Planck constant. The resulting constant is called the reduced Planck constant or Dirac constant. It is equal to the Planck constant divided by 2π, and is denoted ħ (or "h-bar", as it is often also called):The energy of a photon with angular frequency ω, where ω = 2πν, is given byThe reduced Planck constant is the quantum of angular momentum in quantum mechanics.The Planck constant is named after Max Planck, the founder of quantum theory, who discovered it in 1900, and who coined the term "Quantum". Classical statistical mechanics requires the existence of h (but does not define its value). Planck discovered that physical action could not take on any indiscriminate value. Instead, the action must be some multiple of a very small quantity (later to be named the "quantum of action" and now called Planck constant). This inherent granularity is counterintuitive in the everyday world, where it is possible to "make things a little bit hotter" or "move things a little bit faster". This is because the quanta of action are very, very small in comparison to everyday macroscopic human experience. Hence, the granularity of nature appears smooth to us.Thus, on the macroscopic scale, quantum mechanics and classical physics converge at the classical limit. Nevertheless, it is impossible, as Planck discovered, to explain some phenomena without accepting the fact that action is quantized. In many cases, such as for monochromatic light or for atoms, this quantum of action also implies that only certain energy levels are allowed, and values in-between are forbidden. In 1923, Louis de Broglie generalized the Planck relation by postulating that the Planck constant represents the proportionality between the momentum and the quantum wavelength of not just the photon, but the quantum wavelength of any particle. This was confirmed by experiments soon afterwards.".
• Planck_constant thumbnail MaxPlanckWirkungsquantums20050815_CopyrightKaihsuTai.jpg?width=300.
• Planck_constant wikiPageExternalLink h.
• Planck_constant wikiPageID "19594213".
• Planck_constant wikiPageRevisionID "606113205".
• Planck_constant hasPhotoCollection Planck_constant.
• Planck_constant sign "Planck".
• Planck_constant source "On the Law of Distribution of Energy in the Normal Spectrum".
• Planck_constant text "to interpret UN [the vibrational energy of N oscillators] not as a continuous, infinitely divisible quantity, but as a discrete quantity composed of an integral number of finite equal parts. Let us call each such part the energy element ε;".
• Planck_constant subject Category:Fundamental_constants.
• Planck_constant subject Category:Max_Planck.
• Planck_constant type Abstraction100002137.
• Planck_constant type Cognition100023271.
• Planck_constant type Concept105835747.
• Planck_constant type Constant105858936.
• Planck_constant type Content105809192.
• Planck_constant type FundamentalConstants.
• Planck_constant type Idea105833840.
• Planck_constant type PsychologicalFeature100023100.
• Planck_constant type Quantity105855125.
• Planck_constant comment "The Planck constant (denoted h, also called Planck's constant) is a physical constant that is the quantum of action in quantum mechanics. Published in 1900, it originally described the proportionality constant between the energy (E) of a charged atomic oscillator in the wall of a black body, and the frequency (ν) of its associated electromagnetic wave.".
• Planck_constant label "Constante de Planck".
• Planck_constant label "Constante de Planck".
• Planck_constant label "Constante de Planck".
• Planck_constant label "Constante van Planck".
• Planck_constant label "Costante di Planck".
• Planck_constant label "Planck constant".
• Planck_constant label "Plancksches Wirkungsquantum".
• Planck_constant label "Stała Plancka".
• Planck_constant label "Постоянная Планка".
• Planck_constant label "ثابت بلانك".
• Planck_constant label "プランク定数".
• Planck_constant label "普朗克常数".
• Planck_constant sameAs Planckova_konstanta.
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• Planck_constant sameAs Constante_van_Planck.
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• Planck_constant sameAs m.09lbb.
• Planck_constant sameAs Q122894.
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• Planck_constant wasDerivedFrom Planck_constant?oldid=606113205.
• Planck_constant depiction MaxPlanckWirkungsquantums20050815_CopyrightKaihsuTai.jpg.
• Planck_constant isPrimaryTopicOf Planck_constant.