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Reciprocal length information


Reciprocal length or inverse length is a quantity or measurement used in several branches of science and mathematics, defined as the reciprocal of length.

Common units used for this measurement include the reciprocal metre or inverse metre (symbol: m−1), the reciprocal centimetre or inverse centimetre (symbol: cm−1). In optics, the dioptre is a unit equivalent to reciprocal metre.

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Reciprocal length

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Reciprocal length or inverse length is a quantity or measurement used in several branches of science and mathematics, defined as the reciprocal of length...

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Reciprocal

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direction) from a stated heading Reciprocal lattice, a basis for the dual space of covectors, in crystallography Reciprocal length, a measurement used in science...

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Length

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Arc length Humorous units of length Length measurement Metric system Metric units Orders of magnitude (length) Reciprocal length Look up length, distance...

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Reciprocal lattice

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space has the dimension length (L), its reciprocal space will of inverse length, so L−1 (the reciprocal of length). Reciprocal space comes into play regarding...

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Focal length

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equal to the reciprocal of the focal length, expressed in metres. A dioptre is its unit of measurement with dimension of reciprocal length, equivalent...

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List of metric units

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derived units and associated symbols: The hertz (Hz) is equal to one reciprocal second (1 s−1). The radian (rad) is equal to one (1). The steradian (sr)...

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Dioptre

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symbol dpt, is a unit of measurement with dimension of reciprocal length, equivalent to one reciprocal metre, 1 dpt = 1 m−1. It is normally used to express...

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Position and momentum spaces

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"k-vector") has dimensions of reciprocal length, making it an analogue of angular frequency ω which has dimensions of reciprocal time. The set of all wave...

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Multiplicative inverse

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In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative...

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Inverse second

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The inverse second or reciprocal second (s−1), also called per second, is a unit defined as the multiplicative inverse of the second (a unit of time)....

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Centimetre

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fixed-width CJK fonts. Conversion of units Orders of magnitude (length) Reciprocal length "Decimal multiples and submultiples of SI units". Bureau International...

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Wavenumber

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of reciprocal length, so its SI unit is the reciprocal of meters (m−1). In spectroscopy it is usual to give wavenumbers in cgs unit (i.e., reciprocal centimeters;...

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Specific quantity

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charge per unit length Linear mass density, mass per unit length Linear number density, number of entities per unit length reciprocal length quantities In...

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Reciprocal frame

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A reciprocal frame is a class of self-supporting structure made of three or more beams and which requires no center support to create roofs, bridges or...

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Reciprocals of primes

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q such that the period length of the decimal expansion of its reciprocal, 1/p, is equal to the period length of the reciprocal of q, 1/q. For example...

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CM1

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cm−1, it may refer to: Inverse centimetre, unit of measurement: see Reciprocal length This disambiguation page lists articles associated with the same title...

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Dimensional analysis

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Ln+m). Physically, 1/L can be interpreted as reciprocal length, and 1/T as reciprocal time (see reciprocal second). An abelian group is equivalent to a...

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List of sums of reciprocals

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mathematics and especially number theory, the sum of reciprocals generally is computed for the reciprocals of some or all of the positive integers (counting...

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Rigid rotor

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{\textrm {with}}\quad B\equiv {\frac {\hbar ^{2}}{2I}}.} In the units of reciprocal length the rotational constant is, B ¯ ≡ B h c = h 8 π 2 c I = ℏ 4 π c μ...

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Wavelength

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They are also commonly expressed in terms of wavenumber k (2π times the reciprocal of wavelength) and angular frequency ω (2π times the frequency) as: y...

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Hexagonal lattice

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120° and are of equal lengths, | a 1 | = | a 2 | = a . {\displaystyle |\mathbf {a} _{1}|=|\mathbf {a} _{2}|=a.} The reciprocal lattice of the hexagonal...

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Critical dimension

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that the exponents N {\displaystyle N} count wave vector factors (a reciprocal length k = 1 / L 1 {\displaystyle k=1/L_{1}} ). Each monomial of the Lagrangian...

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Planck units

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in Planck units, it was noted that this is suggestively close to the reciprocal of the age of the universe (T) squared. Barrow and Shaw proposed a modified...

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Orthogonal coordinates

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as the covariant vectors but reciprocal length (for this reason, the two sets of basis vectors are said to be reciprocal with respect to each other):...

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Sine and cosine

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the length of the hypotenuse to the length of the opposite side. Similarly, the reciprocal of cosine is secant, which gives the ratio of the length of...

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Electrical resistance and conductance

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object is a measure of its opposition to the flow of electric current. Its reciprocal quantity is electrical conductance, measuring the ease with which an electric...

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