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The K values in Table 5-11 indicate that increased solvating power affects the reaction rate primarily through an increase in the concentration of free ions When lithium is the counterion, one calculates from the equilibium constant that 15% of the propagating centers are free ions in THF (for a system where the total concentration of all propagating centers is 10 3 M) compared to zero in dioxane Since free ions are so much more reactive than ion pairs, their small concentration has a very large effect on the observed polymerization rate The majority of the propagation is carried by free ions; only about 10% of the observed reaction rate is due to ion pairs It is worth mentioning that K values independently measured by conductivity are in excellent agreement with those obtained from the kinetic measurements The K values from conductivity are 19, 15, 0.



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P*P w2 2m +m Q*Q+ Q*F+c.c.,

7, and 0:028 10 7 , respectively, for lithium, sodium, potassium, and cesium counterions [Geacintov et al, 1962; Shimomura et al, 1967a,b; Szwarc, 1969] Table 5-11 shows that the dissociation constant for the ion pair decreases in going from lithium to cesium as the counterion The order of increasing K is the order of increasing solvation of the counterion The smaller Li is solvated to the greater extent and the larger Cs is the least solvated The decrease in K has a very signi cant effect on the overall polymerization, since there is a very signi cant change in the concentration of the highly reactive free ions Thus the free-ion concentration for polystyryl cesium (K 0:02 10 7 ) is less than 10% that of polystyryl lithium (K 10 7 ).

(5.38)





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The reactivities of the various ion pairs also increase in the same order as the K values: Li > Cs The fraction of the ion pairs that are of the solvent-separated type increases with increasing solvation of the counterion Solvent-separated ion pairs are much more reactive than contact ion pairs (Sec 5-3d-4) The lower values of kp in dioxane relative to THF are also a consequence of the presence of a smaller fraction of the more reactive solventseparated ion pairs The order of reactivity for the different ion pairs in dioxane is the reverse of that in tetrahydrofuran Solvation is not important in dioxane The ion pair with the highest reactivity is that with the weakest bond between the carbanion center and counterion The bond strength decreases and reactivity increases with increasing size of counterion.

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You can sort your Excel data to reorganise the information. This technique is particularly useful when using Excel to create database tables. A database table is a list of related information. Tables contain fields typically columns to break the list into manageable pieces. Each entry in the list is called a record. Rows contain each record in your list of data. For example, you might want to sort a client table to list the names alphabetically. Ascending order sorts list records from A to Z or from lowest number to highest number; descending order sorts list records from Z to A or from highest number to lowest number.

However, the effect of increasing counterion size levels off after K as kp is approximately the same for potassium, rubidium, and cesium The effect of counterion on ion-pair reactivity is dif ferent for methyl methacrylate (MMA) compared to styrene The value of kp is 1 for lithium counterion and 30 33 for the larger alkali metal counterions for polymerization in tetrahydrofuran at 98 C [Jeuk and Muller, 1982; Szwarc, 1983] The difference between lithium counterion and the larger counterions for MMA in THF is similar to that observed for styrene in dioxane These results have been interpreted as indicating the absence of solvation by THF.

where c.c. stands for complex conjugate, showing that 11. is real as a Hamiltonian should be. Now, from (5:31), we find that 8 Pr and 1 8 1 8

3-48

= V2 8P + V2 8P* '

bond scission at the bond between the carbonyl carbon and the a-carbon (Eq. 3-48) while electron transfer occurs only in the presence of an electron donor (RH) and involves electron transfer followed by proton transfer from the amine to the ketone:

V2 8P*

3-49

(5.39)

Tertiary amines with an a-hydrogen are among the most effective electron donors; other electron donors include alcohols, amides, amino acids, and ethers. A third process, direct hydrogen atom transfer from RH to the ketone, is not common but does occur with some photoinitiators. The overall result is the same as the electron-transfer process. Although two radicals are produced by photolysis of the photoinitiator, only one of the radicals is typically active in initiation the aroyl and amine radicals in Eqs. 3-48 and 3-49, respectively. The other radical may or may not initiate polymerization, but is active in termination. The decrease in photoinitiator concentration during polymerization is referred to as photobleaching.

81818 qr = V2 8Q + V2 8Q* '

Similar photolytic reactions occur with benzoin (VIII), benzyl ketals (IX), aroylphosphine oxides (X), and a-aminoalkylphenones (XI). These and related compounds are used

V2 8Q - V2 8Q* .

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