SI s2 s8 s9 SI0 SI1 Basic Mechanisms 1 1 0 0 0 0 0 0 1 1 0 0 -1 0 0 0 -1 1 -1 0 -1 0 0 -1 Direct Mechanisms 0 0 0 1 1 -2 0 0 -1 0 1 -2 0 1 0 1 0 -1 0 2 0 1 -1 0 0 1 -1 0 0 -1 0 2 -1 0 -1 0 -1 0 0 1 0 -1 -2 0 0 1 -1 0 -1 0 -1 0 0 -1 -2 0 -1 0 -1 0TABLE I X Direct Flux Comparison Happel-Sellers Poland F, = 0.0067 F2 = 0.2804 F3 = 0.6881 F4 = 0.0008 F6 = 0.6932 F7 = 0.0162 F* = 0.0112 sum = 1.6966In view of the difficulty in calculating Z by hand, Poland4 suggests an alternative procedure (p 3622). He does not report the actual values of 2 obtained by this method so a direct comparison with our value is not possible. However, his Table I1 (p 3623) gives a value of Jb in the first column equal to 0.2724, equivalent to our F2 in eq 5 . Agreement is good.As Poland4 notes (p 3623, eq 6.14), the final equation for total flux of substrate is the sum of the "cycle currents" or in our terms the sum of rate contributions from each direct mechanism. We calculated values for these rates in the same way that we obtained F2 for cases corresponding to [A] = [B] = x = 0.9, the first column for cycle currents in his Table I1 (p 3623). A comparison is given Table IX. As can be seen from the table, agreement is good with the exception of the value for F3 for which we find a much higher flux than Poland. A partial explanation for this discrepancy lies in the fact that the expression for Z, listed by Poland4 (p 3623) does not include the important term k,k-,kg[B] = 120000~. The cycles Poland calls b and c are main channels, but according to our calculation channel, e is also important. At any rate, the good agreement with other values indicates that our procedure corresponds to Poland's reading of the KAH method.
DiscussionThis shows in a complex case how Hill's diagram method can be made systematic by replacing all diagrams by algebraic expressions. These can be reduced to strings of integers and stored in a computer, which obviously adds extensively to the range of systems that previously would have been solvable by diagram methods. In order to achieve this, it has been necessary to work in an algebraic context where complex networks of chemical reactions can be studied in a general way rather than by drawing diagrams on a case-by-case basis.Registry No. Dihydrofolate reductase, 9002-03-3.The gas-phase reactions of CF+, CF2+, and CF3' with the halocarbons CFQ, CF3Br, CF31, CF4, and C2F6 have been studied using a variable-temperatureelected ion flow tube (VT-SIFT) instrument at 300 and 496 K. The ion CF' reacts rapidly with CF3X (X = C1, Br, I) producing the ions CF2X'. In the reaction of CF+ with CF3C1, CF3' is also produced as a minor product. Curvature was observed in the pseudo-first-order kinetics plots for the reactions of CF' with CF4 and C2F6. In both cases the curvature is attributed to the presence of two or more CF+ states (probably vibrational) of differing reactivities toward the perfluorocarbon of interest. This conclusion is supported by our observation of charge transfer from CF' to NO, a reaction which is endothermic ...