10/09/2014 10 CALCULATING CONFORMATIONAL FREE ENERGY USING COUPLING CONSTANTS [1-X] [X] Ha Hb H X O Ha Hb H X O Average JH b = Jaa[X] + Jee[1-X] Average JH a = Jae[X] + Jea[1-X] The values of Jaa, Jee, Jae and Jea are determined from Conformationaly rigid cyclohexanone systems NMR OF 4-t-BUTYL-2-NITROCYCLOHEXANONE Jaa = 12.6 Hz Jae = 5.7 Hz Jea = 5.2 Hz Jee = 4.3 Hz NMR OF 2-NITROCYCLOHEXANONE Average JH Ha = 10.6 Average JH Hb = 7.6 CALCULATING THE CONFORMATIONAL FREE ENERGY OF 2NITROCYCLOHEXANONE USING COUPLING CONSTANTS NO2 NO2 O H Hb HaOH Hb Ha [1-X] [X] Average JH b = Jaa[X] + Jee[1-X] 10.6 = 12.6 [X] + 4.3 [1-X] X = 0.76 K = [X]/[1-X] = 0.76/0.24 = 3.17 G# = -RTlnK = -(2.3)(2)(298)log3.17 = 0.73kcal/mol