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AB‐based NMR systems. Choice of bounds for θ in trigonometric forms of co‐factors in mixed wave‐functions
Author(s) -
Batterham T. J.,
Bigum C. J.
Publication year - 1972
Publication title -
organic magnetic resonance
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.483
H-Index - 72
eISSN - 1097-458X
pISSN - 0030-4921
DOI - 10.1002/mrc.1270040108
Subject(s) - trigonometry , trigonometric functions , simplicity , range (aeronautics) , mathematics , mathematical analysis , pure mathematics , physics , quantum mechanics , materials science , geometry , composite material
Abstract Labelling problems associated with the choice of bounds for the angle θ in the trigonometric forms of the co‐factor expressions for levels in AB‐based NMR spectra have been investigated. It has been shown that any pair of octants within the 0 → 2π range can be specified as bounds, provided that appropriate linear combinations of wave functions are chosen. The range 0 ⩽ θ ⩽ π/2 is preferred for simplicity in calculation.