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Reduced mass information


In physics, reduced mass is a measure of the effective inertial mass of a system with two or more particles when the particles are interacting with each other. Reduced mass allows the two-body problem to be solved as if it were a one-body problem. Note, however, that the mass determining the gravitational force is not reduced. In the computation, one mass can be replaced with the reduced mass, if this is compensated by replacing the other mass with the sum of both masses. The reduced mass is frequently denoted by (mu), although the standard gravitational parameter is also denoted by (as are a number of other physical quantities). It has the dimensions of mass, and SI unit kg.

Reduced mass is particularly useful in classical mechanics.

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Reduced mass

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In physics, reduced mass is a measure of the effective inertial mass of a system with two or more particles when the particles are interacting with each...

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Bohr radius

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is the reduced mass of the electron–proton system (with m p {\displaystyle m_{\text{p}}} being the mass of proton). The use of reduced mass is a generalization...

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Reduction

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Look up reduce, reduced, or reduction in Wiktionary, the free dictionary. Reduction, reduced, or reduce may refer to: Reduction (chemistry), part of a...

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Deuterium

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electrons in atoms depend on the reduced mass of the system of electron and nucleus. For the hydrogen atom, the role of reduced mass is most simply seen in the...

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(bicycle, rider, and luggage combined) will save nearly 10% power. A reduced mass is also directly felt when accelerating. For example, the Analytic Cycling...

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prison abolition movement is a network of groups and activists that seek to reduce or eliminate prisons and the prison system, and replace them with systems...

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Mass Effect

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Mass Effect is a military science fiction media franchise created by Casey Hudson. The franchise depicts a distant future where humanity and several alien...

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Tuned mass damper

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A tuned mass damper (TMD), also known as a harmonic absorber or seismic damper, is a device mounted in structures to reduce mechanical vibrations, consisting...

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Molecular vibration

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}}} , where k is the force constant in dyne/cm or erg/cm2 and μ is the reduced mass given by 1 μ = 1 m A + 1 m B {\textstyle {\frac {1}{\mu }}={\frac {1}{m_{A}}}+{\frac...

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Hydrogen atom

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which have finite mass, the constant must be slightly modified to use the reduced mass of the system, rather than simply the mass of the electron. This...

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Bohr model

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the much larger mass of the proton, about 1836.1 times the mass of the electron, so that the reduced mass in the system is the mass of the electron multiplied...

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Reduced viscosity

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dynamics, the reduced viscosity of a polymer is the ratio of the relative viscosity increment ( η i {\displaystyle \eta _{i}} ) to the mass concentration...

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Positronium

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because of the reduced mass, the frequencies of the spectral lines are less than half of those for the corresponding hydrogen lines. The mass of positronium...

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Collision theory

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constant unit J⋅K−1. T is the absolute temperature (unit K). μAB is the reduced mass of the reactants A and B, μ AB = m A m B m A + m B {\displaystyle \mu...

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Orbital eccentricity

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energy (total energy divided by the reduced mass), μ the standard gravitational parameter based on the total mass, and h the specific relative angular...

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Collision frequency

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T} is the temperature, μ AB {\displaystyle \mu _{\text{AB}}} is the reduced mass of the reactants A and B, μ AB = m A m B m A + m B {\displaystyle \mu...

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Effective mass

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crystal analogous to the mass of a free particle Effective mass (spring–mass system) Reduced mass, used to simplify a two-body problem in terms of a one-body...

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Rydberg constant

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infinitely heavy, an improvement of the value can be made using the reduced mass of the atom: μ = 1 1 m e + 1 M {\displaystyle \mu ={\frac {1}{{\frac...

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Muscle atrophy

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Muscle atrophy is the loss of skeletal muscle mass. It can be caused by immobility, aging, malnutrition, medications, or a wide range of injuries or diseases...

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Chirp mass

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terms of the total mass of the system M = m 1 + m 2 {\displaystyle M=m_{1}+m_{2}} and other common mass parameters: the reduced mass μ = m 1 m 2 m 1 +...

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Mass killings under communist regimes

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Mass killings under communist regimes occurred through a variety of means during the 20th century, including executions, famine, deaths through forced...

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Quantum dot

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where μ is the reduced mass, a is the radius of the quantum dot, me is the free electron mass, mh is the hole mass, and εr is the size-dependent...

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Atomic units

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constants (reduced Planck constant, elementary charge, and electron rest mass) are atomic units themselves – of action, electric charge, and mass, respectively...

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