Extended x-ray absorption fine structure (EXAFS) spectroscopy exploits the
quantum interference resulting from the scattering of a photoelectron, gene
rated by the excitation of a core level, by the potential of the surroundin
g atoms. From the interference pattern it is possible to determine the dist
ance and average distribution of the nearest neighbours from the photoabsor
bing atomic species. This spectroscopy therefore provides a unique site-sel
ective local structural probe in condensed matter which is ideal for invest
igating the average environment of specific elements in a liquid. In the la
st 20 years we have seen substantial developments in the experimental techn
iques which nowadays allow scientists to perform EXAFS experiments under ex
treme conditions of high pressure and temperature that were not even concei
vable just a few years ago. These techniques have been applied to the inves
tigations of metals, semiconductors, molecular fluids and solutions, as a f
unction of pressure and temperature and through phase transitions, attracti
ng a wide scientific community towards this spectroscopy. The complete unde
rstanding of the x-ray absorption signal is however a challenging theoretic
al problem involving the many-electron response of the system. Our current
theoretical framework for the interpretation of the EXAFS spectra is based
on the solution of an effective one-electron problem. This theory is nevert
heless accurate enough to be used in a quantitative data analysis able to r
etrieve valuable structural information.