Non-Fitted Calculations
Lynx II DSA User's Manual – 7096089 197
Since G is also Poisson distributed, the uncertainty for the net peak area (with a linear
continuum) can be written as:
(13)
Using the same approach, the variance of a step continuum becomes
(14)
2
P
2
N
1i
i
2
G
2
2
B
2
2
2
B
2
1
2
B
i21
P
B
G
B
B
B
B
B
σ
∂
∂
+σ
∂
∂
+σ
∂
∂
+σ
∂
∂
=σ
∑
=
which reduces to
(15)
( )
( ) ( ) ( ) ( )
∑
+
∑
−+
∑
+
∑
−=σ
i
P
1
G
1
2
i
P
2
1
B
2
B
2
B
2
i
P
1
B
2
i
PNG
2
nG
1
2
B
Therefore, the uncertainty for the net peak area (with a step continuum) can be written as
(16)
P
1
G
1
2
)P(
2
)
1
B-
2
(B+
2
B
2
)P(+
1
B
2
)P -(NG
2
(nG)
1
+G=
s
∑
+
∑∑∑
σ
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