The concept and theory of a direct determination method (DD method) an
d the procedure for carrying out the DD method for homogeneous solid s
amples are presented. The theory presented is general for homogeneous
solid samples. A thin-film sample, single layer on a substrate, coatin
g multi-layer on a substrate and bulk sample (including pieces, powder
and fragments) can be regarded as special cases of the application of
the theory. A practical application to 12 commercial iron-based spray
powder samples was studied and experimental data from literature were
used to calculate the composition and thickness of thin-him samples w
ith the DD method. The analytical expressions of intensities of de Bee
r and Brouwer were modified and applied to the DD method. Two independ
ent computer programs, written in BASIC, were used to calculate the nu
merical values for bulk and thin-film samples. It is reasonable to exp
ect that a common computer program for the DD method will soon be deve
loped and will be applied to all sorts of homogeneous solid samples wi
thout specific sample preparation.