Advanced Methods and Tricks of EXAFS Data Modeling
Workshop, Annual NSLS Users' Meeting, Brookhaven National Laboratory
May 23, 2001
Workshop organizer: Anatoly Frenkel
Frederick Seitz Materials Research Laboratory
University of Illinois at Urbana-Champaign
Abstracts
Dr. Edward A. Stern
University of Washington, Seattle
Avoiding Some Pitfalls in XAFS Analysis
Because analysis of XAFS requires fitting multiple parameters
simultaneously in a non-linear way local minima can occur which do not
give the correct model. It is important to be able to eliminate the
false
models and to assess correctly the errors in the correct model. A
discussion will be given of physical conditions the correct model should
satisfy such as limitations on spatial resolution, positive sigma
squared, and minimum bond distances. The importance of including
systematic uncertainties in estimating the errors in the final model
will
be emphasized.
View the HTML file.
Dr. Alain Michalowicz
University of Paris XII
Two-Pi Shift and Ligand-Swapping EXAFS Modeling Tricks in
Applications to Catalysis and Biology
Since it's emerging in the 70th as major local structural method using
synchrotron radiation, EXAFS provided many important results, especially
in catalysts and biological chemistry. Unfortunately, among other published
results, some reports of EXAFS-determined bond lengths were criticized as
chemically unrealistic.
The aim of this talk is to show how EXAFS modeling can lead to the
systematic artifacts and erroneous nearest neighbor distances. Some of the examples
to be discussed are:
- If the energy threshold is free to vary in a fitting procedure, it is not
impossible to obtain wrong Delta Eo values, and associated with them false distances.
An example of such an error published in the framework of catalysis
research will be discussed.
- Structures of the metallic site of metalloenzymes frequently
contains inequivalent axial and equatorial ligands. EXAFS
modeling can easily confuse these ligands, leading to systematic errors.
Modeling tricks allowing to refine the structure will be examined.
In both cases we shall discuss the proposed method to avoid the trick and
find the most likely solution among all the posssible ones.
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Dr. Stephen R. Wasserman
MediChem Life Sciences
Principal Component Analysis: Getting an Edge on EXAFS
XAFS, particularly in environmental, biological, and catalytic applications,
is often measured for related samples that differ in some experimental
variable, such as pH, time of reaction, concentration of ligands, or
geological location. Traditionally the analysis of EXAFS from these samples
has focused on the individual coordination shells for each sample.
Principal component analysis (PCA) supplements the traditional approach
through a global view of speciation within the entire series of spectra.
The results from PCA offer constraints that can then be applied to the
traditional non-linear least-squares analysis. Recent
extensions of the method in EXAFS and a comparison to standard fitting
scheme will be presented.
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Dr. Matthew Newville
University of Chicago
The Use of Bond Valence Sums in XAFS Analysis
For many inorganic crystal structures, the bond valence model gives
a simple and accurate prediction of bond distances given cation and
anion type, valence, and coordination number. Such information is
complementary to the information available from XAFS and can be used
as a reality check on the results of fitting XAFS data for a wide
class of systems. The bond valence model and its use in XAFS
analysis will be reviewed and discussed. While this powerful model
can be used as an independent check on the results of XAFS analysis,
it may also prove valuable as 'prior knowledge' to place constraints
on the fitting done in the XAFS analysis itself. Since the bond
valence sum may not be perfectly satisfied for all atoms, its use as
both an exact constraint and an inexact restraint in XAFS analysis
will be compared.
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Dr. James E. Penner-Hahn
University of Michigan, Ann-Arbor
X-ray Absorption Spectroscopy of Zinc Sites in Proteins. When is a
Tetrathiolate not a Tetrathiolate?
Numerous reviews describe the accuracy of EXAFS, and most state
that scatterer type can be determined to the nearest row of the periodic
table (some claim even better accuracy). Given this, it would seem a
simple matter to completely characterize Zn sites by EXAFS since the
structural questions of interest center on determining the number of
cysteine ligands and the number of low-Z (histidine, carboxylate, water)
ligands. Since S and N differ by 8 in atomic number, they should be
readily distinguished. The reality, however, is that such distinctions
can be extremely difficult, and there are now several examples in which
EXAFS-predicted structures were not consistent with subsequent
high-resolution protein crystal structures. In order to better
understand the precision of Zn EXAFS, we undertook a study of a series
of well-defined model compounds with variable sulfur/nitrogen ligation
(J. Am. Chem. Soc., 120 (1998) 8401-8409). Through this work, we
developed a protocol that can be used to obtain an accurate
determination of Zn ligation. The basis of the protocol is careful
control of the num-ber of variable parameters used in data analysis.
This approach, and its limitations, will be described. Through this
work, we have gained insight into possible sources of error in
interpretation of EXAFS data.
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Dr. Bruce Ravel
Naval Research Laboratory
Robust Structural Modeling Using Multi-Edge Refinements
Sometimes the interesting physics in an EXAFS analysis problem is only
revealed when the analysis is extended beyond the first shell. This probably
precludes the use of simple Fourier filtering techniques, requiring instead
the refinement of sophisticated structural models. Among the many tools from
the EXAFS bag of tricks that can be applied to a challenging problem is
multi-edge refinement. Many materials have two or more edges accessible
to an EXAFS measurement. Data can be collected from all accessible edges
and refined simultaneously to yield more and better results than are
available from the analysis of individual edges. In this talk, I
will explain how I applied the tool of multi-edge refinement to Co2MnSi and
Co2MnGe. These are two of a class of materials known as half-metallic
conductors and can, in principle, support 100% spin-polarized conduction.
It is thought that anti-site disorder among the Mn and Si or Mn and Ge ions
degrades the magnetic and transport properties of these materials.
This anti-site disorder is a subtle effect in the EXAFS data and is difficult to
measure with precision using only data collected at a single edge. By co-refining
data from two or three edges, we are able to place much tighter error bars on
the anti-site disorder parameter in these materials.
While FEFF is used to compute fitting standards and FEFFIT for performing the
fits, the techniques discussed in this talk can be applied to analysis using
any adequate theory and fitting codes.
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Dr. Ralph G. Nuzzo
University of Illinois, Urbana-Champaign
Emergence of Materials Properties at the Nanoscale
The length scales of interest in nanoscale materials are ideally matched
to the characteristic probe sensitivities of EXAFS. This
correspondence, along with the development of powerful analytical
formalisms and models, empowers studies of these systems at remarkable
levels of sophistication. In this talk I will describe the application
of EXAFS to the study of systems based on well-defined metal
nanoparticles derived from directed chemical synthesis, highlighting
modeling methods useful for their characterization. The types of
questions we are addressing regarding the very interesting structural
and dynamical properties of these materials will be examined. The
powerful synergies that develop from the comparison of single particle
structural data (as obtained from real space probes based on high
resolution electron microscopy) and the information on particle
ensembles derived from EXAFS will be discussed.
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Dr. Daniel Haskel
Argonne National Laboratory
XAFS in Anisotropic Structures: Exploiting Angular Dependence for Better
Modeling
"Angular resolved" XAFS refers to the dependence of the absorption
coefficient on the relative orientations of the incident electric field
and crystallographic axes. We will review the origin of such angular
dependence and will discuss sample requirements needed to observe it.
The cases of powders, partially aligned powders and single crystals will
be used to exemplify the different types of angular averages performed in an
XAFS measurement. We will then discuss how to exploit this angular
dependence in order to reduce the number of fitting parameters needed to
solve the local structure of anisotropic materials. Examples will include
high Tc superconductors, magneto-resistance materials and others.
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