We consider studies of the atomic and magnetic structure near surfaces
by photoelectron diffraction and by the holographic inversion of both
photoelectron diffraction data and diffraction data involving the emi
ssion of fluorescent x-rays. The current status of photoelectron diffr
action studies of surfaces, interfaces, and other nanostructures is fi
rst briefly reviewed, and then several recent developments and proposa
ls for future areas of application are discussed. The application of f
ull-solid-angle diffraction data, together with simultaneous character
ization by low energy electron diffraction and scanning tunneling micr
oscopy, to the epitaxial growth of oxides and metals is considered. Se
veral new avenues that are being opened up by third-generation synchro
tron radiation sources are also discussed. These include site-resolved
photoelectron diffraction from surface and interface atoms, the possi
bility of time-resolved measurements of surface reactions with chemica
l-state resolution, and circular dichroism in photoelectron angular di
stributions from both nonmagnetic and magnetic systems. The addition o
f spin to the photoelectron diffraction measurement is also considered
as a method for studying short-range magnetic order, including the me
asurement of surface magnetic phase transitions. This spin sensitivity
can be achieved through either core-level multiplet splittings or cir
cular-polarized excitation of spin-orbit-split levels. The direct imag
ing of short-range atomic structure by both photoelectron holography a
nd two distinct types of x-ray holography involving fluorescent emissi
on is also discussed. Both photoelectron and x-ray holography have dem
onstrated the ability to directly determine at least approximate atomi
c structures in three dimensions. Photoelectron holography with spin r
esolution may make it possible also to study short-range magnetic orde
r in a holographic fashion. Although much more recent in its first exp
erimental demonstrations, x-ray fluorescence holography should permit
deriving more accurate atomic images for a variety of materials, inclu
ding both surface and bulk regions.