Introductory Theory and Terminology
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Figure3.4: NMR Signals Emitted by CHCI3
1 Intensity
2 Frequency (MHz)
This  artificial  spectrum  shows  three  peaks  corresponding  to  the  three  isotopes.  Taking  the
relative numbers of the three isotopes into account, one might expect that the intensity of the
chlorine,  hydrogen  and  carbon  peaks  would  be  in  the  ratio  of  3:1:1.  However,  the  natural
abundance of the three isotopes must also be accounted for, resulting in a ratio of 227:100:1.
The user will find that the experimentally determined peak intensity ratios will not agree with
these  values.  The  reason  is  that  every  isotope  has  an  inherent  sensitivity  to  the  NMR
technique. The 
1
H is 63 times more sensitive to NMR than 
13
C. Thus, even if a sample would
contain the same number of 
1
H nuclei as 
13
C, the intensity of the 
1
H signals will be 63 times
greater than the 
13
C signals.
With a plot, such as that in the figure above, any detailed information will be lost and precise
determination  of  a  frequency  would  be  impossible.  The  spectrum  would  be  said  to  display
very  poor  resolution  (the  horizontal  resolution  of  a  spectrum  is  a  measure  of  how  well  the
spectrum differentiates between two signals that are close in frequency).
A  further  complication  is  the  huge  range  in  vertical  scaling.  The  variation  in  inherent
sensitivity  to  NMR,  coupled  with  the  variations  in  natural  abundance,  will  often  make  the
plotting  of  signals  from  different  isotopes  onto  a  single  plot  unfeasible.  In  fact,  the  vertical
resolution  of  the  spectrum  will  be  very  poor  (the  vertical  resolution,  i.e.  the  signal  to  noise
ratio of a spectrum is a measure of sensitivity).
If our analysis of chloroform is proving rather complicated, it is because we are attempting to
compare the signals from three different observe nuclei on a single spectrum (we are ignoring
here  any  hardware/electronic  restrictions).  Therefore,  in  practice,  NMR  experiments  are
performed  with  a  single  observe  nucleus.  Although  more  than  one  isotope  may  be  excited
simultaneously, by using more than one carrier frequency (e.g. decoupling experiments), we
only ever observe the signals from a single isotope. This greatly simplifies spectrum analysis.
It  was  mentioned  earlier  that  variations  in  the  basic  resonance  frequency  due  to  the  local
atomic  environment  tend  to  be  relatively  small.  Thus,  large  spectral  ranges  will  not  be
encountered.  Furthermore,  natural  abundance  and  inherent  sensitivity  will  always  be  the
same for an isotope. Hence, the relative intensity of say two signals emitted from 
1
H isotopes
on a single spectrum will depend only on the number of atoms contributing to the signal. This
greatly  simplifies  analysis  of  spectra  for  quantitative  information.  Before  proceeding  further
with a more detailed description of NMR the reader should become familiar with the concept
of measuring signals in ppm  (parts per million) with respect to a reference signal.