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Appendix A
|
General Instrument Information
Thermo Scientific
Orion AquaMate Spectrophotometer User Manual
|
211
Calculation
Calculation Equation
Statistics (Linear
regression general
case)
σ
=
�∑
(
𝑦
𝑖
− 𝑦
�
)
2
N
−
n
−
1
Where:
N = Degree of polynomial
𝑟
=
|
𝑆𝑆𝑋𝑌
|
�𝑆𝑄𝑋 ∗ 𝑆𝑄𝑌
The calculation for the correlation coefficient applies only to first order linear
regression curves (first degree polynomials)
Linear regression
through zero model
𝜎
=
�𝑆𝑌𝑌 −
(
𝑎
1
∗ 𝑆𝑋𝑌
)
𝑁 −
1
Absorbance Ratio
𝐴𝑏𝑠𝜆
1
𝐴𝑏𝑠𝜆
2
or
𝐴𝑏𝑠𝜆
1
−𝐴𝑏𝑠
𝑟𝑒𝑓
𝐴𝑏𝑠𝜆
2
−
𝐴𝑏𝑠
𝑟𝑒𝑓
Absorbance Difference
Result = Absλ
1
* factor
1
– Absλ
2
* factor
2
or
Result = (Absλ
1
– Absλ
ref
) * factor
1
– (Absλ
2
– Absλ
ref
) * factor
2
3-Point Net
Baseline correction absorbance =
𝐴
2
−
�𝐴
3
+
�
[
𝐴
1
− 𝐴
2
]
∗
𝜆
3
− 𝜆
2
𝜆
3
− 𝜆
1
��
3-Point Net Absorbance Sample Curve:
3-Point Net
(ASTM E16904)
Baseline correction absorbance =
𝐴
2
−
�𝐴
3
+
�
[
𝐴
2
− 𝐴
3
]
∗
𝜆
3
− 𝜆
1
𝜆
3
− 𝜆
2
��