A normalized analytical approximation to the distribution function,
) (
i
Mw
, is thus obtained
from:
)
ln( d
) (
i
i
i
M w Mw
-=
. Given that
M
decreases as
e
t
increases, the same weight
fraction,
w
d
, of polymer that exists between
e
t
to
e
e
t
t
d
+
also exists between
)
ln(
)
ln(
M d M
-
.
)
ln( d
i
M
was obtained by evaluating the first derivative of the analytical equation fitted to the
calibration curve,
e
e
t
tP
d) (d
and multiplying by the time interval (i.e. the 1 Hz sampling
frequency ~
e
t
d ).
212
) ))
( (
i
Mw
was evaluated point by point (columns H and Q) and plotted
against molecular weight to give a normalized distribution that is injection concentration and
calibration curve independent, as seen in theExcel file.
