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Hidden radian units

107 bytes added, 17:02, 24 July 2013
→‎Book quotations: Better formatting throughout.
=== Book quotations ===
Title: Nuclear Spin Relaxation in Liquids: Theory, Experiments, and
Applications
Authors: Józef Kowalewski, Lena Mäler
Subject: NMR relaxation
Year: 2006
Link:
http://books.google.com/books?id=MiUfcE1C9CQC&pg=PA14&dq=relaxation+rate+radian&lr=#PPA19,M1
Quote (page 15): "Because the natural unit for the angular frequency
is radians per second, the relaxation rate, or the inverse of
relaxation time, R2 = 1/T2, should indeed also be expressed in these
units. Usually, relaxation times are given in seconds (the rates are
given in 1/s), which tacitly implies that the radians can be omitted;
we note in parenthesis that the radian is considered a dimensionless
unit in physics."
Quote 2 (page 15): "The Fourier transform of an exponential decay is
Lorentzian centered at zero frequency, with the full width at
half-height (in Hertz) equal to Delta_nu = 1/(pi.T2)..."
;Title: Practical NMR Nuclear Spin Relaxation for Chemistsin Liquids: Theory, Experiments, and Applications;AuthorsAuthor: Vladimir I. BakhmutovJózef Kowalewski, Lena Mäler;Subject: NMR relaxation;Year: 20042006;Link: http://books.google.com/books?id=_gIh9KHIOx4CMiUfcE1C9CQC&pg=PA13PA14&dq=rotationalrelaxation+correlation+timerate+radian&lr=#PPA19,M1;Quote (page 915): "...linewidths<blockquote>Because the natural unit for the angular frequency is radians per second, the relaxation rate, or the inverse of relaxation time, Delta_nuR2 = 1/T2, measured should indeed also be expressed in Hzthese units. Usually, relaxation times aregiven in seconds (the rates are given in 1/s), which tacitly implies that the radians can be omitted; we note in parenthesis that the radian is considered a dimensionless unit in physics.</blockquote>directly controlled by T1 and T2 relaxation times according ;Quote 2 (page 15)<blockquote>The Fourier transform of an exponential decay is Lorentzian centered at zero frequency, with the full width at half-height (in Hertz) equal to: Delta_nu = 1/(pi T1,2.T2)"...</blockquote>
;Title: Modern Protein Chemistry: Practical AspectsNMR Relaxation for Chemists;AuthorAuthors: Gary C. Howard, William EVladimir I. BrownBakhmutov;Subject: NMR relaxation;Year: 20012004;Link: http://books.google.com/books?id=MIxdC7GPz0sC_gIh9KHIOx4C&pg=PA45PA13&dq=rotational+correlation+time+radian&lr=;Quote (page 459): "The actual relationship between the spin-spinrelation rate and the lines width (<blockquote>...linewidths, Delta_nu) is given , measured in Hz, are directly controlled by R2, the rateof spin-spin relaxation; T1 and T2 is the time constant for spin-spinrelaxation, times according to: Delta_nu = 1/pi . R2 = 1/(pi.T2T1,2)."</blockquote>
;Title:Modern Protein Chemistry: Practical Aspects;Authors:Gary C. Howard, William E. Brown;Subject:NMR relaxation;Year:2001;Link:http://books.google.com/books?id=MIxdC7GPz0sC&pg=PA45&dq=rotational+correlation+time+radian&lr=;Quote (page 45)<blockquote>The actual relationship between the spin-spin relation rate and the lines width (Delta_nu) is given by R2, the rate of spin-spin relaxation; T2 is the time constant for spin-spin relaxation, Delta_nu = 1/pi . R2 = 1/(pi.T2).</blockquote> ;Title: Structural Biology: Practical NMR Applications;Author: Quincy Teng;Subject: NMR relaxation;Year: 2005;Link: http://books.google.com/books?id=dRmmGFkummIC&pg=PA36&dq=rotational+correlation+time+radian&lr=#PPA36,M1;Quote (page 37): "<blockquote>...T1 relaxation is inversely proportional tocorrelation time tau_c..."</blockquote>
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