Evaluation Only. Created with Aspose.PDF. Copyright 2002-2021 Aspose Pty Ltd.
EXAFS InWestigation of Sulfato Complexes
did not need any specific precautions. However, different U and
Th concentrations required individually adapted optical path lengths
for the sample vials to obtain similar noise levels of the EXAFS
spectra. Hence, polyethylene vials with an optical path length of 3
and 13 mm were used for the samples with 0.5 and 0.05 M U and
Th, respectively, encapsulated in 200 µm polyethylene film as
second confinement against radionuclide release. In situ EXAFS
measurements with the spectroelectrochemical cell with an optical
path length of 20 mm were applied to obtain spectra of U(IV)
hydrate as described previously.14 The U(VI) f U(IV) reduction
was performed under inert gas atmosphere in the electrochemical
cell. The EXAFS measurement of the U(IV) hydrate (sample L)
was performed in situ, whereas the U(IV) sulfate solutions were
transferred from the electrochemical cell into quartz glass cuvettes
(optical path length of 10 mm). The solid samples were measured
as powder pellet (H) and wet paste (P) in hot-sealed polyetylene
cuvettes.
noise levels at higher k values, data analysis was restricted to the
k range 3.2-16.7 Å-1 for U(VI) and to 4.1-14.2 Å-1 for U(IV)
and Th(IV). The distance resolution, ∆R ) π/2∆k, is 0.12 Å for
the U(VI) spectra and 0.16 Å for U(VI) and Th(IV). The amplitude
2
reduction factor, S0 , was defined as 1.0 in the FEFF calculation
and fixed to that value in the data fits. The threshold energy, Ek)0
,
was arbitrarily defined for U(VI) and U(IV) as 17 185 eV, and for
Th(IV) as 16 320 eV and varied as a global fit parameter resulting
in the energy shift ∆Ek)0. The same energy shift was applied for
each shell. The overall goodness of the fits, F, is given by ø2
weighted by the magnitude of data.18
Double-Electron Excitations. The excited photoelectron has a
certain probability to excite a second electron into unoccupied
orbitals (shake up) or the continuum (shake off). Since the intensity
of double-electron excitation is usually only a few percent of a
single-electron excitation, their appearance is often masked by the
single-electron EXAFS oscillation. The spectra obtained from
solutions show weak EXAFS amplitudes, especially at high k
values, and therefore, double-electron excitations become more
dominant. The EXAFS data shown here are partly affected by [2p4f]
double-electron excitations.26 The spectra of Th(IV) and U(IV) are
more affected than the spectra of U(VI) due to stronger resonance
intensity of their double-electron excitations.26 While the double-
electron excitation may bias the EXAFS amplitude and hence the
coordination numbers and Debye-Waller factors, the frequency
of the main electron excitation channel is not affected; hence, the
determined distances are not influenced. Deviations between µ0-
(E) and its spline approximation lead to artificial peaks at R e 1.2
Å, which were minimized during the data extraction. The double-
electron excitation itself acts as a high-frequency feature that may
contribute spurious peaks at large R values. Fourier filtering
procedures and data analysis using reduced k ranges indicated that
the effects are small and within the usual error limits. Therefore,
for the final data analysis, the raw data itself and not the Fourier-
filtered data were used. In Figures 4, 6 and 7, double-electron
excitations are marked with a dotted line and their k values are
given. A more detailed discussion of double-electron excitation
phenomena in L3-edge X-ray absorption spectra of actinides is given
elsewhere.26
EXAFS Data Acquisition. EXAFS measurements were carried
out at the Rossendorf Beamline16 at the European Synchrotron
Radiation Facility. The monochromator, equipped with a Si(111)
double crystal, was used in channel-cut mode. Higher harmonics
were rejected by two Pt-coated mirrors. All experiments were
performed at room temperature. The spectra were collected in
transmission mode using argon-filled ionization chambers. Across
the EXAFS region, data points were collected with equidistant k
steps of 0.05 Å-1. The monochromator energy scale was calibrated
to the K-edge of an Y metal foil (first inflection point assigned to
17038 eV).
EXAFS Data Analysis. The EXAFS oscillations were extracted
from the raw absorption spectra by standard methods including a
µ0 spline approximation for the atomic background using either
the WINXAS17 or the EXAFSPAK18 software packages. A square
window function has been applied for the Fourier transform. In
order to suppress side lobe effects, care has been taken to keep
ø(k) ≈ 0 at kmin and kmax. The EXAFS data were fit using theoretical
phase and amplitude functions calculated with the FEFF 8.2 code
of Rehr et al.19 The scattering interactions were calculated using
single scattering (SS) and multiple scattering (MS) paths of the
model compounds Na10[(UO2)(SO4)4](SO4)2‚3H2O,20 Cs2Th(SO4)3‚
3H2O,21 and U(SO4)2‚4H2O22 and the hypothetical clusters UO2-
Quantum Chemical Calculations. The quantum chemical
calculations were performed at the B3LYP level in the aqueous
phase without any symmetry constraints using the Gaussian 03
program package.27 The energy-consistent small-core effective core
potential (ECP) and the corresponding basis set suggested by Dolg
(H2O)5 , , .
2+ 23 U(H2O)94+ 24 and Th(H2O)94+ 24 It has been shown that
the multiple scattering path U-Oax in the uranyl unit is dominated
by the two-fold degenerated four-legged multiple-scattering path
U-Oax1-U-Oax2.
25 This scattering path was included in the curve
fit by constraining its Debye-Waller factor and its effective
pathlength to twice the values of the corresponding, freely fitted
U-Oax single-scattering path. Taking into account the individual
(25) Hudson, E. A.; Rehr, J. J.; Bucher, J. J. Phys. ReV. B 1995, 52, 13815-
13826.
(26) Hennig, C. Phys. ReV. B 2007, 75, 035120-035126.
(27) Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb,
M. A.; Cheeseman, J. R.; Montgomery, J. A., Jr.; Vreven, T.; Kudin,
K. N.; Burant, J. C.; Millam, J. M.; Iyengar, S. S.; Tomasi, J.; Barone,
V.; Mennucci, B.; Cossi, M.; Scalmani, G.; Rega, N.; Petersson, G.
A.; Nakatsuji, H.; Hada, M.; Ehara, M.; Toyota, K.; Fukuda, R.;
Hasegawa, J.; Ishida, M.; Nakajima, T.; Honda, Y.; Kitao, O.; Nakai,
H.; Klene, M.; Li, X.; Knox, J. E.; Hratchian, H. P.; Cross, J. B.;
Bakken, V.; Adamo, C.; Jaramillo, J.; Gomperts, R.; Stratmann, R.
E.; Yazyev, O.; Austin, A. J.; Cammi, R.; Pomelli, C.; Ochterski, J.
W.; Ayala, P. Y.; Morokuma, K.; Voth, G. A.; Salvador, P.;
Dannenberg, J. J.; Zakrzewski, V. G.; Dapprich, S.; Daniels, A. D.;
Strain, M. C.; Farkas, O.; Malick, D. K.; Rabuck, A. D.; Raghavachari,
K.; Foresman, J. B.; Ortiz, J. V.; Cui, Q.; Baboul, A. G.; Clifford, S.;
Cioslowski, J.; Stefanov, B. B.; Liu, G.; Liashenko, A.; Piskorz, P.;
Komaromi, I.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.;
Peng, C. Y.; Nanayakkara, A.; Challacombe, M.; Gill, P. M. W.;
Johnson, B.; Chen, W.; Wong, M. W.; Gonzalez, C.; Pople, J. A.
Gaussian 03, revision C.02; Gaussian, Inc.: Wallingford, CT, 2004.
(16) Matz, W.; Schell, N.; Bernhard, G.; Prokert, F.; Reich, T.; Claussner,
J.; Oehme, W.; Schlenk, R.; Dienel, S.; Funke, H.; Eichhorn, F.; Betzl,
M.; Prohl, D.; Strauch, U.; Huttig, G.; Krug, H.; Neumann, W.;
Brendler, V.; Reichel, P.; Denecke, M. A.; Nitsche, H. J. Synchr. Rad.
1999, 6, 1076-1085.
(17) Ressler, T. J. Synchr. Rad. 1998, 5, 118-122.
(18) George, G. N.; Pickering, I. J. EXAFSPAK, a suite of computer
programs for analysis of X-ray absorption spectra; Stanford Univer-
sity: Stanford, CA, 2000.
(19) Rehr, J. J.; Albers, R. C. ReV. Mod. Phys. 2000, 72, 621-654.
(20) Burns, P. C.; Hayden, L. A. Acta Crystallogr. C 2002, 58, i121-
i123.
(21) Habash, J.; Smith, A. J. J. Cryst. Spec. Res. 1992, 22, 21-24.
(22) Kierkegaard, P. Acta Chem. Scand. 1956, 10, 599-616.
(23) Tsushima, S.; Yang, T. X.; Suzuki, A. Chem. Phys. Lett. 2001, 334,
365-373.
(24) Tsushima, S.; Yang, T. X. Chem. Phys. Lett. 2005, 401, 68-71.
Inorganic Chemistry, Vol. 46, No. 15, 2007 5885