PPT Slide

xD = MassD / (M + MassD) where M = Mass original sample

Weight fraction phase J in diluted sample

xJ M / (M + MassD ) = xJ (1 - xD ) see Zevin, p130 for derivation

Mass absorption coefficient of diluted sample

(m )D* = mD* xD + (1 - xD) m * rule of additivity

We can now use ...(1) to make three equations in three unknowns (m * , Ki,J and xJ ):

(i) Ii,J = Ki,J xJ / m *

(ii) (Ii,J )0 = Ki,J / m J * ie when xJ = 1, ie pure phase J

(iii) (Ii,J )D = Ki,J xJ(1-xD) / [m D*xD + (1 - xD) m * ]