Asymmetric distributions were once considered to pose a serious limita
tion to EXAFS spectroscopy, but with present analysis methods it is no
w possible to go beyond the simple extraction of static structural par
ameters and to determine the effective pair potential and contribution
s to relative motion of atomic pairs. This paper reviews methods of in
cluding asymmetry in EXAFS analysis such as cumulants, splice method,
fitting to model functions and using Monte Carlo or molecular dynamic
simulations. Determining the pair potential is emphasized. The quantum
treatment of anharmonic oscillators is summarized and the possibility
of specifying double-well pair potentials is indicated. Applications
ranging from the strong covalent bonding in semiconductors to the weak
er ionic and metallic bonding in bulk and surface systems are given. T
hermal expansion coefficients of bonds, premelting and liquids are als
o discussed.