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World champion chemists  51



                                 ecules’ reactions, or the opponent’s move, may reasonably be predicted for
                                 each possible reaction, but such a calculation will be very difficult. Even if
                                 we assume that this problem is solved, to a sufficient extent for useful
                                 answers to be obtained, then the problem of designing a total synthesis is
                                 still not complete.
                                    Molecules such as bryostatin are synthesised by joining together small
                                 fragments. How many ways can the fragments be joined together? If we
                                 assume that we can buy any molecule with four carbon atoms or fewer,
                                 which is a crude approximation, bryostatin (Figure 3.3) will require about
                                 ten joins, which suggests that there are ten factorial (ten times nine, times
                                 eight, times seven, times six, times five, times four, times three, times two,
                                 which is about three and a half million) strategies to consider. In practice,
                                 the problem is not so straightforward, because many different starting
                                 molecules could be considered, and the adjustments between alcohols and
                                 ketones, and similar transformations, mean that it is necessary to consider
                                 many, many times this number of steps. Two steps for each join might be
                                 a more realistic estimate of the number of steps expected, so the number
                                 of possible approaches is closer to twenty factorial, which is more than a
                                 million million million. Each of these strategies will require the calcula-
                                 tion of the outcome of many reactions, as outlined above, and each of these
                                 calculations is demanding, by the standards of the fastest computers avail-
                                 able today. A complete solution would not be made possible by an increase
                                 in computer power of an order of magnitude, nor even by many orders of
                                 magnitude.
                                    Several orders of magnitude increase in computer power would be
                                 useful to make the calculation of an individual structure rapid, rather than
                                 a major project (for molecules of this size). The conformation searching
                                 problem then requires that many such calculations are performed. To
                                 analyse reactivity many competing reaction processes must be considered
                                 in order to determine the best conditions for a particular transformation.
                                 Many reagents should be considered for each transformation. There are
                                 millions of potential transformations that need to be considered in order
                                 to fully analyse competing strategies for synthesis. To complete these cal-
                                 culations in a reasonable amount of time, which is to say, faster than a syn-
                                 thesis could be accomplished by expert organic chemists without all of this
                                 computational help, will require much faster computers than are currently
                                 available. These calculations will generate an extraordinary quantity of
                                 information which will all need to be analysed. Computers are becoming
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