I'r - Memorial University of Newfoundland

Appeodil: A1. The hyperbolic equation for generation ofmixing curves for ratio-ratio
plots.
The relati ve contribution from two major primary sources or end-members to a
sample can be assessed using both molecular and isotopic ratios included in a two
component mixin g equation suggested. by Vollmer. 1976. developed. by Langmuir et al...
1978. and applied for the appo rtionment ofPAH sourc es by O'Malley, 1994 and
O'Malley et 01.• 1996. The mixing equation is a hyperbol a of the form :
where A, B. C, and D are the coe fficients;
Ax +Bxy + Cy +D - O,
and x. y are general variables along the abscissa and ordinate respectively reprezenting
coordinates ofthe end-member i,
The curvature ofhyperbola is contro lled by the B coefficient and can be estimated. by
calculatin g r:
Suppose one wants to calc ulate the coefficients for compounds. X, Y, 1., and W with
x/v ratio on the x axis and VW ratio on the y axis. andcar soots and crankcase oil
representing co mbustio n and petroleum end-members respectively. Then the above
parameters are ass igned as follows;
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