Absolute rate constants for the copolymerization of a-methylstyrene and oxygen have been measured from 13 to 50 OC. The propagation and termination rate constants can be represented by k, = (6.6 Z+Z 0.7) X lo6 exp (-(8 070 + 800)lRT) 1 mole-' s-I kt = (1.6 =t 0.7) X lo8 exp (-(3 700 ZI Z 1 GOO)/RT) 1 m~l e -~s -] . Experiments with 2.6-di-t-butyl-4-methylphenol a t 65 "C have shown that C G H~C ( C H~) : C H~ and C O H~C ( C D~) : C D~ have the same propagation rate constant but that cham termlnatlon involves a deuterium isotope effect ( k t ) n / ( k t )~ = 1.5.Absolute rate constants for the copolymerization of oxygen with a-methylstyrene and with indene at 30 "C showed that a significant fraction of the oxidation chains were terminated by a lcinetically first order process (rate constant k,). The rate constants for 8-methylstyrene and indene a t 30 "C are k, = 51 and 142 1 mole-Is-', k t = 1.6 X lo7 and 2.5 X 107 1 mole-1s-1, and k, = 0.61 and 1.2 s-l, respectively. The propagation rate constant for indene can be separated into a rate constant for the copolymerization with oxygen (kndd = 128 I mole-' s-l) and a rate constant for hydrogen atom abstraction (k,b,t, = 14 1 mole-' s-I). In the presence of heavy water the first order process for indene had a deuterium isotope effect (k,)/(k,)~?o = 3.
IXTRODUCTIONThe effects of temperature and solvents on the absolute rate constants for the autoxidation of styrene, i.e., for its copolylnerization with oxygen, were described in the first paper in this series (1). The second paper gave the absolute rate constants for four deuteriunl-labelled styrenes and a nurtlber of ring-substituted styrenes (2). The present paper extends this xvork t o a-and P-methylstyrene and indene. Both a-methylstyrene and iridelie have been shown to copolylnerize with oxygen in tllermally initiated oxidations (3, 4). a-PIethylstyrene is of particular interest since it yields a tertiary peroxy radical. The mechanis~n of chain termination for con-lpounds giving tertiary peroxy radicals has beell under very active study in the past 2 or 3 years (5-9) but absolute rate constants have been lneasured in only a few cases, i.e., for chain propagation (k,) and chain termination ( k t ) in the autoxidation of culnene (9-12) and 2,4,6-trimethyl heptane (13) and for the mutual destruction of t-butylperoxy radicals derived from t-butylhydroperoxide (9). a-A,leth>,lstyrene is also interesting in that the rate of the a,al-azo-bis-isobutyronitrile (AIBN) therlnally initiated oxidation has been reported to increase very noticeably as the oxygen pressure is increased, e.g., the rate a t 50' with 0.01 mole/l AIBN is 0.076, 0.12, and 0.13 mole 1-I h-I a t 100, 750, and 3 200 n~m oxygen pressure, respectively (3). This variation in the rate with the oxygen pressure has been attributed to a contribution from crossed chain termination, involving aralkyl (R') and aralliylperoxy (RO;) radicals, to the overall rate of chain terlnination a t oxygen pressures below 3 200 mm (3). This paper describes the effects o...