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Table 3.2  Hoffman-Lauritzen parameters for crystallization of PET
K g ᅲ 10 −5 (K 2 )
U * (kJ mol −1 )
Ref.
Regime I/III
Regime II
5.0
2.5
6.3
[ 110 ]
8.7
6.1
6.3
[ 111 ]
12.80 a
12.75
[ 114 ]
2.8
6.3
[ 115 ]
3.0
6.3
[ 116 ]
3.7 b
6.3
[ 117 ]
2.3
6.3
[ 118 ]
3.2
1.9
4.3/2.3
Equation 3.60
a Identified as regime III
b Regime is not identified
larger value of K g . Therefore, fitting both K g and U * seems like a better approach
that should result in more reliable estimates of these values.
The use of Eq. 3.60 yields the K g values 3.2 and 1.9 10 5 K 2 for respectively
higher and lower temperature portions of E ʱ versus T dependence. It is noteworthy
that the higher temperature portion gives the K g value that is 1.7 times larger than
the value related to the lower temperature portion. The ratio is very close to the
theoretical ratio 2 that represents a change in the crystallization mechanism from
regime I to regime II [ 103 ]. This is an important clue regarding the mechanism of
crystallization.
It was mentioned earlier that the Hoffman-Lauritzen equation holds for super-
coolings as large as 100 ᄚC that makes it potentially possible to fit both melt and
glass crystallization kinetics with one set of the K g and U * parameters. Figure 3.40
presents the E ʱ versus T dependencies for crystallization of PET glass and melt. The
Fig. 3.40  Experimental
E ʱ versus T data for melt
(  circles ) and glass (  squares )
crystallization of PET. Solid
line represents a fit for the
melt data. Dashed line has
been obtained by fitting
combined (  melt and glass )
crystallization data. (Repro-
duced from Vyazovkin and
Dranca [ 108 ] with permission
of Wiley)
200
100
0
-100
Melt crystallization
Cold crystallization
K g =3.2, U * =4.3
K g =3.6, U * =7.5
-200
-300
-400
400
420
440
460
480
500
T / K
 
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