DIFFERENTIAL EQUATIONS
KINETICS OF POLYMERIZATION
The polymer text will probably use the following format:
Initiation
Chemical Equation shown
Differential Equation shown
Discussion
Propagation
Chemical Equation shown
Differential Equation shown
Discussion
Termination
Chemical Equation shown
Differential Equation shown
Discussion
The format will scrutinize one idea at a time (initiation, propagation, etc.), instead of using the order of the steps of the polymerization as the order of the discussion. This format will chose another way. The reaction steps will be shown, and then differential equations will be shown. The math expressions will be presented, and then some of the assumptions will be discussed.
VARIABLES
I initiator
k rate constant
subscript
M monomer
M. M. covers both RM. and MM.
MM. the results of a monomer bonding to a M., and of course
this result is also a M. species.
R signifies the rate of something happening
subscript
R. a free radical, the result of the decompostion of an
initiator.
RM. the results of a monomer reacting with a free radical R.
SUBSCRIPT CLASSIFICATIONS
d- decomposition
i- initiation
p- propogation
t_- termination (several types of termination are possible:)
tc- termination by coupling
td- termination by disproportionation
tct- termination by chain transfer
DIFFERENTIAL EQUATIONSKINETICS OF POLYMERIZATIONThe polymer text will probably use the following format:InitiationChemical Equation shownDifferential Equation shownDiscussionPropagationChemical Equation shownDifferential Equation shownDiscussionTerminationChemical Equation shownDifferential Equation shownDiscussionThe format will scrutinize one idea at a time (initiation, propagation, etc.), instead of using the order of the steps of the polymerization as the order of the discussion. This format will chose another way. The reaction steps will be shown, and then differential equations will be shown. The math expressions will be presented, and then some of the assumptions will be discussed. VARIABLESI initiatork rate constant subscriptM monomerM. M. covers both RM. and MM.MM. the results of a monomer bonding to a M., and of course this result is also a M. species. R signifies the rate of something happening subscript R. a free radical, the result of the decompostion of an initiator.RM. the results of a monomer reacting with a free radical R.SUBSCRIPT CLASSIFICATIONSd- decompositioni- initiationp- propogationt_- termination (several types of termination are possible:)tc- termination by couplingtd- termination by disproportionationtct- termination by chain transfer
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