Difference between revisions of "Quad shift.m"

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{{DISPLAYTITLE:quad_shift.m}}
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{{DISPLAYTITLE:quad_shift.m}} __NOTOC__
 
Second order shift of the centre of gravity of the powder pattern of |S,m> to |S,m-1> transition in the NMR spectrum of a quadrupolar nucleus with spin S. Equation (3) from https://doi.org/10.1016/0009-2614(85)85414-2
 
Second order shift of the centre of gravity of the powder pattern of |S,m> to |S,m-1> transition in the NMR spectrum of a quadrupolar nucleus with spin S. Equation (3) from https://doi.org/10.1016/0009-2614(85)85414-2
  
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     delta=quad_shift(Cq,eta,v0,S,m)
 
     delta=quad_shift(Cq,eta,v0,S,m)
  
==Arguments==
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==Parameters==
  
 
     Cq    - quadrupolar constant, Hz
 
     Cq    - quadrupolar constant, Hz
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==See also==
 
==See also==
[[eeqq2nqi.m]], [[intrep.m]], [[rotframe.m]], [[assume.m]]
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[[eeqq2nqi.m]], [[intrep.m]], [[rotframe.m]], [[assume.m]], [[brokensymm.m]], [[levelpop.m]], [[r1csa2tauc.m]], [[r1n_dnp.m]], [[r2csa2tauc.m]], [[rlx_csa.m]], [[rlx_dd_csa.m]], [[rlx_dip.m]], [[rlx_hfc.m]], [[rlx_nqi.m]], [[trosy_eff.m]], [[Textbook_module]]
  
 
''Version 2.3, authors: [[Ilya Kuprov]]''
 
''Version 2.3, authors: [[Ilya Kuprov]]''

Latest revision as of 19:40, 6 June 2026

Second order shift of the centre of gravity of the powder pattern of |S,m> to |S,m-1> transition in the NMR spectrum of a quadrupolar nucleus with spin S. Equation (3) from https://doi.org/10.1016/0009-2614(85)85414-2

Syntax

    delta=quad_shift(Cq,eta,v0,S,m)

Parameters

   Cq    - quadrupolar constant, Hz

   eta   - quadrupolar asymmetry parameter

   v0    - Larmor frequency of the nucleus, Hz

   S     - spin quantum number of the nucleus

   m     - projection quantum number of the
           starting energy level

Outputs

   delta - quadrupolar shift in ppm

Notes

A few papers contain an incorrect version of this expression; the one used here was tested against pure numerics and found to be correct.

See also

eeqq2nqi.m, intrep.m, rotframe.m, assume.m, brokensymm.m, levelpop.m, r1csa2tauc.m, r1n_dnp.m, r2csa2tauc.m, rlx_csa.m, rlx_dd_csa.m, rlx_dip.m, rlx_hfc.m, rlx_nqi.m, trosy_eff.m, Textbook_module

Version 2.3, authors: Ilya Kuprov