lorentzian | Lorentzian Function -- from Wolfram MathWorld

Keyword	CPC	PCC	Volume	Score	Length of keyword
lorentzian	0.67	0.1	5204	91	10

Keyword	CPC	PCC	Volume	Score
lorentzian	0.67	0.3	442	19
lorentzian function	1.56	0.2	2064	40
lorentzian classification	1.83	1	7076	75
lorentzian distribution	0.91	0.4	8045	34
lorentzian curve	1.32	0.4	641	47
lorentzian manifold	1.76	0.6	8200	54
lorentzian lineshape	1.42	0.7	4864	95
lorentzian fit	0.49	0.6	9270	37
lorentzian shape	0.37	0.6	3746	50
lorentzian peak	1.11	0.5	7201	68
lorentzian vs gaussian	1.89	0.7	7889	46
lorentzian geometry	0.59	0.8	2995	65
lorentzian classification indicator	0.69	0.9	4171	11
lorentziana	0.17	1	1906	71
lorentzian fitting	1.31	0.3	1718	20
lorentzian wormholes	0.78	0.3	9243	46
lorentzian profile	0.15	0.7	232	87
lorentzian classification tradingview	0.24	0.8	1490	4
lorentzian metric	0.71	0.6	9960	18
lorentzian function python	0.45	0.9	3819	1

Search Results related to lorentzian on Search Engine

Lorentzian Function -- from Wolfram MathWorld
wolfram.com:443

https://mathworld.wolfram.com:443/LorentzianFunction.html

Web5 days ago · The Lorentzian function is the singly peaked function given by L (x)=1/pi (1/2Gamma)/ ( (x-x_0)^2+ (1/2Gamma)^2), (1) where x_0 is the center and Gamma is a parameter specifying the width. The Lorentzian function is normalized so that int_ (-infty)^inftyL (x)=1.

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Spectral line shape - Wikipedia
wikipedia.org:443

https://en.wikipedia.org:443/wiki/Spectral_line_shape

WebIdeal line shapes include Lorentzian, Gaussian and Voigt functions, whose parameters are the line position, maximum height and half-width. Actual line shapes are determined principally by Doppler, collision and proximity broadening. For each system the half-width of the shape function varies with temperature, pressure (or concentration) and phase.

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Cauchy Distribution -- from Wolfram MathWorld
wolfram.com:443

https://mathworld.wolfram.com:443/CauchyDistribution.html

Web5 days ago · Download Wolfram Notebook. The Cauchy distribution, also called the Lorentzian distribution or Lorentz distribution, is a continuous distribution describing resonance behavior. It also describes the distribution of horizontal distances at which a line segment tilted at a random angle cuts the x -axis . Let represent the angle that a line, with ...

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Lecture 6: Spectral Lineshapes - Princeton University
princeton.edu:443

https://cefrc.princeton.edu:443/sites/g/files/toruqf1071/files/Files/2013%20Lecture%20Notes/Hanson/pLecture6.pdf

WebLorentzian + Gaussian Gaussian Inhomogeneous (affects certain class of molecule) Lorentzian Homogeneous (affects all molecules equally) Brief overview 5 2. Types of line broadening 1. Natural broadening Result of finite radiative lifetime 2. Collisional/pressure broadening Finite lifetime in quantum state owing to collisions 3. Doppler broadening

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Lorentzian - Wikipedia
wikipedia.org:443

https://en.wikipedia.org:443/wiki/Lorentzian

WebLorentzian. Lorentzian may refer to. Cauchy distribution, also known as the Lorentz distribution, Lorentzian function, or Cauchy–Lorentz distribution. Lorentz transformation. Lorentzian manifold.

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Peak Shape Functions: Lorentzian - University College London
ac.uk:80

http://pd.chem.ucl.ac.uk:80/pdnn/peaks/loren.htm

WebPeak Shape Functions: Lorentzian. Lorentzian (or Cauchy) The Lorentzian is also a well-used peak function with the form: I (2θ) =. w2. w2 + (2θ − 2θ 0) 2. where w is equal to half of the peak width ( w = 0.5 H ). The main features of the Lorentzian function are:

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Cauchy distribution - Wikipedia
wikipedia.org:443

https://en.wikipedia.org:443/wiki/Cauchy_distribution

WebThe Cauchy distribution, named after Augustin Cauchy, is a continuous probability distribution. It is also known, especially among physicists, as the Lorentz distribution (after Hendrik Lorentz ), Cauchy–Lorentz distribution, Lorentz (ian) function, or …

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Lineshape Functions - Chemistry LibreTexts
libretexts.org:443

https://chem.libretexts.org:443/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Supplemental_Modules_(Physical_and_Theoretical_Chemistry)/Spectroscopy/Fundamentals_of_Spectroscopy/Lineshape_Functions

WebJan 30, 2023 · Lorentzian Lineshape; Gaussian Lineshape; Voight Lineshape; Four different mathematical descriptions of the lineshape for an absorptive transition are discussed below. These transitions may involve electronic, rotational, or vibrational (i.e. visible, microwave or infrared radiation) eigenstates.

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Lorentzian Function - Michigan State University
msu.edu:443

https://archive.lib.msu.edu:443/crcmath/math/math/l/l417.htm

WebMay 25, 1999 · The Lorentzian function is given by. Its Full Width at Half Maximum is . This function gives the shape of certain types of spectral lines and is the distribution function in the Cauchy Distribution. The Lorentzian function has Fourier Transform. See also Damped Exponential Cosine Integral, Fourier Transform--Lorentzian Function.

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Lorentzian Space -- from Wolfram MathWorld
wolfram.com:443

https://mathworld.wolfram.com:443/LorentzianSpace.html

Web5 days ago · Lorentzian n-space is the inner product space consisting of the vector space R^n together with the n-dimensional Lorentzian inner product. In the event that the (1,n-1) metric signature is used, Lorentzian n-space is denoted R^ (1,n-1); the notation R^ (n-1,1) is used analogously with the metric signature (n-1,1).

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