The X-ray spectra of pure elements, excited using MeV energy beam of proton
s from the nuclear microprobe, have known spectra signatures. This makes X-
ray spectra for more complex mixtures amenable to decomposition into contri
butions from the component elements. By devising this procedure as a matrix
operation that transforms directly from spectrum vector to elemental conce
ntration vector, the decomposition can be performed very efficiently enabli
ng the real-time projection of the component element signals. In the case o
f a raster-scanned beam, with data that contain position information for ea
ch X-ray event, this approach enables the real-time projection of component
element spatial distribution images. This paper describes the matrix trans
form approach called dynamic analysis (DA), which enables on-line real-time
imaging of major and trace elements using proton-induced X-ray emission (P
IXE). The method also provides off-line iterative yield corrections to thes
e images to compensate for changing sample composition across an image area
. The resulting images are quantitative in two respects: (1) they resolve t
he pure element components and strongly reject interferences from other ele
ments and (2) they can be directly interrogated for sample composition at e
ach pixel, over areas, or along lines across the image area, with accuracy
comparable to microanalytical point analysis methods. The paper describes t
he DA method, presents tests, and discusses its application to quantitative
major and trace element imaging in geology. (C) 2001 John Wiley & Sons. In
c.