User guide

9 - 3
PN 074-566-P1B
Composer Elite Operating Manual
Where f and f
2
are the resonant frequencies of the mixture and pure gas,
respectively.
Combining 12, 13 and 14:
[15]
Simplifying leads to,
[16]
where,
[17]
[18]
[19]
Since the equation is quadratic, the solutions are of the following form,
[20]
Since
x
1,2
represents the Mole Fraction of the gases, acceptable solutions are,
[21]
The general result of this analysis is that the technique is most sensitive to
composition changes when the Molecular Weight difference between the carrier
gas and the precursor is the greatest. See Figure 9-1.
Figure 9-1 Mole fraction of trimethylindium in H
2
vs. instrument’s frequency
1m1x+
gh1h
x1 ggh+
------------------------------------------------h+=
Ax
2
Bx C++ 0=
A m11g=
B mg h12g–h+h1 g+=
C 1gh=
x
1,2
B–B
2
4AC
2A
-------------------------------------------=
0 x
1,2
1
Frequency (Hz)
Mole-Fraction (%)
5
4
3
0
2
1
2000 2500 3000 35001500 4000