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15
1400700-101 Rev. A
What is refractometry?
(continued)
Examples
(continued)
Therefore one can neither say straight lines nor parabola are adequate for a device that should
reach a precision of 0.01
Bx
!
With a third-order function the maximum error at the seven support points would be only 0.01
Bx
.
But be careful ! The result of a measuring of a 65 -
Bx
-sample would be 65.04
Bx
with a third or-
der function. It is a general problem of all polynomal fits that they are unsteady beyond the support
points. If you only have values from 0 to 60
Bx
, it means, that the scale is only secured up to 60
Bx
.
Let us take a look to the temperature correction. If you are using a manual Abbe-refractometer
with a defined brix scale, you also got a table with temperature corrections that came with it. Ac
-
cording to this table the measured value is changed per degree Centigrade about 0.06
Bx
at water
and about 0.08
Bx
at 60
Bx
. Since the parabola does provide good results, a linear correction of
0.07 Bx / °C is adequate. But please consider that this linear correction of 0.07
Bx
/ °C is not good
enough for a refractometer that should guarantee a precision of 0.04
Bx
!
Therewith
c
12
would be 0.07 and all the other coefficients zero in this simplified case.
This example shows that the calculation of a special scale is not that simple. Many users probably
have a calculator that is able to determine a best-fit curve. But in the example shown above you
saw that this was not sufficient, because you can achieve an accuracy range of 2
Bx
.
Starting point of all calculations is respectively a table with values that the refractometer should
show (set values) and the corresponding refractive indexes (or also brix values). Such a table can
also be computed with a formula you find in technical literature. For a number of particular cases we
provide you already calculated coefficients.
-continued-
Refractometry
(continued)
Содержание 1400700
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