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Transistors are most likely the only three-legged component you ll encounter on the board. They re nothing more than semiconductor-based switches or amplifiers in many common applications. But their similarity stops there, because transistor package styles are many. Most common in battery-powered audio circuits are transistors housed within small gray-black cylinders, cylinders with one edge flattened. Depicted is the common symbol, but you ll encounter variations on this circle-and-three-lead picture as you see representations of photo transistors (with little arrows pointing into the symbol, as with the photocell) and other transistor styles. Circuit-benders rarely incorporate new transistors in the bent wiring scheme, but you may have the need to solder to a transistor lead now and then (remember to use a heat sink). The letter Q is used to designate transistors in schematic diagrams.

2-7e 2-7e-1

ential grew enormous in the mid-1930 s, when short rates were nominal and long rates were low. Short-term yields reached their extreme low points in 1940 1941 and rose thereafter, whereas long-term bond yields continued to decline until 1946. Thus, from 1940 until 1946, there occurred one of those rare periods when short and long rates moved in

The molecular weight distribution and/or PDI has been described for several cases where the assumption of equal reactivity of functional groups is not valid. Unequal reactivity is easily B handled by the Macosko Miller method. For the A B B0 0 system described in A B the previous section, we simply rede ne the relationship between b and g by

g bs 2-47

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(which was derived previously in Sec. 2-2d-2) where s is the ratio of rate constants for reaction of B0 and B groups [Ozizmir and Odian, 1980]. The polydispersity index increases (for conversions <100%) when the reactivities of B and B0 groups are different compared to the case where the reactivities are the same. The opposite trend is found for the A B 0 system [Gandhi and Babu, 1979, 1980]. There A B is a basic difference between the two- and the three-species reaction systems. In the threespecies system, when B0 groups have higher reactivity than B groups, the B0 0 monomer B continues polymerization with A monomer, independently of the B monomer, to form A B large-sized polymer chains. In the two-species system, long chains cannot be formed without participation of B groups in the polymerization process. The extents of the broadening and narrowing effects in the two systems increase as the difference in reactivities of B and B0 become larger. The effects are signi cant at low conversions; for instance, PDI is 2.10 at 50% conversion for the three-species system when B0 is 20-fold more reactive than B compared to a PDI of 1.50 for the equal reactivity case. However, the PDI at complete converson equals 2 in both the two- and three-species systems, which is the same limit as for the equalreactivity case.

THE UNITED STATES IN THE TWENTIETH CENTURY: 1946 1990

C B E FIGURE C-6

2-7e-2

An increase in the reactivity of one functional group in a bifunctional reactant on reaction of the other functional group results in an increase in PDI [Gandhi and Babu, 1979, 1980]. The PDI at complete conversion exceeds 2 when there is a greater than twofold increase in reactivity. PDI decreases when there is a decrease in reactivity of one functional group on reaction of the other group but the PDI at complete conversion is 2. The same trends are found but are more exaggerated when functional group reactivity varies continuously with molecular size [Gupta et al., 1979a,b; Nanda and Jain, 1968].

2-7e-3

Table 53B Yields by Maturity U.S. Government Bonds: 1950 1989 (February Data)

radical (Table 3-8). Various types of compounds act as inhibitors and retarders. Stable free radicals that are too stable to initiate polymerization but that can still react with radicals are one type of radical terminator. Diphenylpicrylhydrazyl (DPPH) is such a radical and its use as a radical scavenger has been discussed (Sec. 3-4g-3). The stoichiometry between the number of kinetic chains terminated, and the number of DPPH radicals consumed is 1 : 1. The most useful class of inhibitors are molecules that react with chain radicals to yield radicals of low reactivity. Quinones such as benzoquinone and chloranil (2,3,5,6-tetrachlorobenzoquinone) are an important class of inhibitor. The behavior of quinones is quite complex [Eastmond, 1976a,b,c; George, 1967; Small, 1975; Yamamoto and Sugimoto, 1979; Yassin and Risk, 1978a, 1978b]. Two major types of products are obtained quinone and ether formed by reaction at the C and O atoms of a quinone, respectively. Attack of a propagating radical at oxygen yields the aryloxy radical XXVIII, which can terminate by

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