With the help of a fundamental parameter program, the matrix effect of
multi-component complex samples and the composition of each element's
X-ray fluorescence intensity were calculated. A mathematical model fo
r correcting the multi-component matrix effect was deduced theoretical
ly, It provides two methods for calculating theoretical influence coef
ficients alpha and beta. The correction model and the influence coeffi
cient introduced in this paper have clear and definite physical meanin
gs, They gave satisfactory results when utilized in analyzing stainles
s-steel samples, The results also indicate that the effect of tertiary
fluorescence cannot be neglected in some cases, From the results of c
omparison experiments, it is concluded that the tertiary fluorescence
effect must be taken into consideration while analyzing Cr in a steel
sample with a high concentration of Ni. (C) 1998 John Wiley & Sons, Lt
d.