The steric structure of high polymers was studied theoreticaly, assuming that the rate of monomer addition depended on the steric arrangement of the end of the growing chain. Equation (2) was deduced for the fraction (
fiso) of isotactic structure in the polymer, considering he four propagation reactions with different rate constants (equation 1).
iso+M→iso (k
1) iso+M→syn (k
2) syn+M→iso (k
3) syn+M→syn (k
4)(1)
fiso= (1+r
1)/(2+r
1+r
2): r
1=k
1/k
2, r
2=k
4/k
3 (2)
Then, following equations were deduced for the fraction (F
n) of isotactic structure which contained
n sequence of the isotactic bond and for the fraction (G
m) of isotactic structure which contained more than
m sequence of the isotactic bond.
Fn=
fiso/(1+r
1)
2·n·(r
1/1+r
1)
n-1 (3)
Gm=
fiso (1+m-1/1+r
1)(r
1/1+r
1)
m-1 (4)
Under such conditions,
Fn and
Gm of high polymers which have the same value of
fiso may differ respectively. Some discussions were given for the method of the determination of r
1 and r
2 values.
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