Stille sequence

SS Yoon, WC Still. Sequence-selective binding with a synthetic receptor. Tetrahedron 51 567-578, 1995. 

An important point about kinetics of cyclic reactions is tliat if an overall reaction proceeds via a sequence of elementary steps in a cycle (e.g., figure C2.7.2), some of tliese steps may be equilibrium limited so tliat tliey can proceed at most to only minute conversions. Nevertlieless, if a step subsequent to one tliat is so limited is characterized by a large enough rate constant, tlien tire equilibrium-limited step may still be fast enough for tire overall cycle to proceed rapidly. Thus, tire step following an equilibrium-limited step in tire cycle pulls tire cycle along—it drains tire intennediate tliat can fonn in only a low concentration because of an equilibrium limitation and allows tire overall reaction (tire cycle) to proceed rapidly. A good catalyst accelerates tire steps tliat most need a boost. 

When the sequence rules permit alternatives, preference for lower-numbered locants and for inclusion in the principal chain is allotted as follows in the order stated Z over E groups and cis over trans cyclic groups. If a choice is still not attained, then the lower-numbered locant for such a preferred... 

R = -CH2CH(CH3)2, there occurs a modest deviation from a strict 0°-120° alternation which characterizes the trans-gauche sequence. This produces a helical structure with seven repeat units occurring in two turns. Even bulkier substituents, for example, o-methyl phenyl, produce still more open helices... 

Theorem 2.14. From the sequence x = of solutions of the problem (2.116) one can choose a subsequence, still denoted byto, such that as 5 0 the convergence (2.119) takes place and, moreover, the limiting function satisfies (2.123). 

Theorem 4.1. From the sequence one can choose a subsequence, still denoted by W, such that as 5 —> 0... 

Although batch distillation is covered in a subsequent separate section, it is appropriate to consider the application of RCM and DRD to batch distulation at this time. With a conventional batch-rectification column, a charge of starting material is heated and fractionated, with a vapor product removed continuously. The composition of the vapor prodiic t changes continuously and at times drastically as the lighter component(s) are exhausted from the stiU. Between points of drastic change in the vapor composition, a cut is often made. Successive cuts can be removed until the still is nearly diy. The sequence, number, and limiting composition of each cut is dependent on the form of... 

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