Stepwise Solution of the Combined Dipolar and NOE Equations

The basic assumption in this analysis [13-15] is that the maximum value of the C NOE in Eq. (4.4-12) is determined by the dipolar rotational correlation time obtained 

The dipolar and chemical shift anisotropy spin-lattice relaxation rates for those carbons bonded to hydrogen may be obtained by iterations of the following steps (1) through (4), followed by step (5). 

The final step iterations (cycle 5) for the ring C2 carbon of the l-methyl-3-nonyl-imidazolium cation [14] yield a correlation time of 74 ps vs. an initial step value of 244 ps. 

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