We
present a new technology for analyzing the molecular structure
and in particular subtle conformational differences in Ni complexes
using X-ray absorption spectroscopy (XAS), enabling tighter and more
robust constraints of structure and dynamic bond lengths. Self-absorption
and attenuating effects have a large impact in fluorescence X-ray
absorption spectroscopy (XAS), compromising accuracy and insight in
structural and advanced analyses. We correct for these dominant systematic
effects. We investigate nickel(II) complexes, that is, bis(N-n-propyl-salicylaldiminato) nickel(II),
“n-pr”, and bis(N-i-propyl-salicylaldiminato) nickel(II), “i-pr”, in 15 mM solutions with 0.1% w/w Ni. One is
“square-planar” and one is “tetrahedral”,
with identical coordination numbers. We identify two key sources of
uncertainty and provide robust estimates for them, reflecting the
quality of the data, and provide meaningful estimates of χ
r
2 suitable for hypothesis testing. We apply significance and model
testing for fluorescence data, with direct uncertainty estimates.
Two new peaks are revealed in the X-ray absorption fine structure
(XAFS) at k ≈ 4.4 and 5.4 Å–1. The high intrinsic accuracy of our processed data allows these
features to be well modeled and yields deeper potential insight. Three
important notions in the field are addressed: resolvability of shell
radii, estimation of the number of independent data points in least-squares
or Bayesian analysis, and the effect of uncertainties on the determined
structure and the determinability of key structural parameters. Conventional
XAFS fitting requires a k
min and a k
max. The origin of these limits is explained
from the data, in a quantitative manner. Being able to distinguish
the isomers spectroscopically and structurally places strong demands
on the data, the uncertainties, and the model interpretation, and
this article reports success in this subtle structural identification.
Two nearby shellsthe innermost two shellsare identified
quantitatively, well below the conventional aliasing limit. This illustrates
the application of new technology to gain new insight.