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(2) Two resonance-absorbing composition problem (JMAX=2)
We can prove also for the two resonance-absorbing mixtures, R 1 , R 2
P ( X
ij
1
, X
2
1
⎧Pij
( ∞,
X 2 ) − γ ij ( X 2 ) / X 1 X 1 > 9, X
⎪
1
⎪ ( γ ij ( X 2 ) ≡ 0 if i ∉ R1
)
) ≈ ⎨
2
⎪Pij
( X 1,
∞)
− γ ij ( X 1) / X 2 X 1 ≤ 9, X
⎪
2
2
⎩
( γ ij ( X 1)
≡ 0 if i ∉ R )
2
2
≤ 9
> 9
(7.3.4-21)
P ( X
ij
1
, X
∞
⎧Pij
( ∞,
∞)
− γ ij / X
⎪
⎪
) ≈ ⎨
∞
⎪Pij
( ∞,
∞)
− γ ij / X
⎪
⎩
Pij
( ∞,
∞)
2
1
2
if
if
i ∈ R
1
i ∈ R
2
otherwise
and X
1
and X
, X
1
2
, X
2
> 9
> 9
(7.3.4-22)
Here, P ij and γ ij in Eq.(7.3.4-21) is calculated by the exactly same way as the case of the interpolation
of P ij (X) for X