Medium and high-energy x-ray diffraction has been used to study the atomic
structure of pure amorphous Si prepared by MeV Si implantation into crystal
line silicon. Both as-implanted and annealed samples were studied. The inel
astically scattered x rays were removed by fitting the energy spectrum for
the scattered x rays. The atomic scattering factor of silicon, previously k
nown reliably up to 20 Angstrom(-1), has been extended to 55 Angstrom(-1).
The radial distribution function of amorphous Si, before and after annealin
g, has been determined through an unbiased Fourier transformation of the no
rmalized scattering data. Gaussian fits to the first neighbor peak in these
functions shows that scattering data out to at least 40 Angstrom(-1) is re
quired to reliably determine the radial distribution function. The first-sh
ell coordination number increases from 3.79 to 3.88 upon thermal annealing
at 600 degrees C, whereas that of crystalline Si determined from similar me
asurements on a Si powder analyzed using the same technique is 4.0. Amorpho
us Si is therefore under coordinated relative to crystalline Si. Noise in t
he distribution function, caused by statistical. variations in the scatteri
ng data at high-momentum transfer, has been reduced without affecting the e
xperimental resolution through filtering of the interference function after
subtracting the contribution of the first-neighbor peak. The difference in
duced by thermal annealing in the remainder of the radial distribution func
tions, thus revealed, is much smaller than previously believed. [S0163-1829
(99)00943-1].