M. Benfatto

The MXAN procedure: a new method for analysing the XANES spectra of metallo­proteins to obtain structural quantitative information

The first quantitative analyses are reported of the Fe K-edge polarized X-ray absorption near-edge structure (XANES) of a single crystal of the iron protein carbonmonoxy-myoglobin (MbCO) and of its cryogenic photoproduct Mb*CO. The CO-Fe-heme local structure has been determined using a novel fitting procedure, named MXAN, which is able to fit the XANES part (from the edge to about 200 eV) of experimental X-ray absorption data. This method is based on the comparison between the experimental spectrum and several theoretical spectra that are generated by changing the relevant geometrical parameters of the site around the absorbing atom. The theoretical spectra are derived in the framework of the full multiple-scattering approach. The MXAN procedure is able to recover information about the symmetry and atomic distances, and the solution is found to be independent of the starting conditions. The extracted local structure of Mb*CO includes an Fe-CO distance of 3.08 (7) A, with a tilting angle between the heme normal and the Fe-C vector of 37 (7) degrees and a bending angle between the Fe-C vector and the C-O bond of 31 (5) degrees

X-ray absorption spectroscopy: state-of-the-art analysis.

State-of-the-art techniques for analysing X-ray absorption spectra are reviewed, with an eye to biological applications. Recent attempts to perform full spectral fitting of the XANES energy region and beyond for the purpose of structural analysis have met with encouraging success. The present paper analyses the theoretical motivations behind this success and indicates routes for future improvements. The theoretical background is not entirely new, although the point of view is, and some sections and appendices present material that the Authors believe has never been published before. The aim of this paper is to provide a theoretical analysis that is as self-contained as possible.

The quantitative Jahn-teller distortion of the Cu2+ site in aqueous solution by xanes spectroscopy

Abstract The Jahn-Teller distortion of the Cu2+ (H2O)6 cluster in aqueous solution has been studied by X-ray near edge structure spectroscopy. Theoretical calculations in the multiple scattering formalism have allowed us to identify in the XANES (X-ray absorption near edge structure) spectrum the characteristic feature of this distortion and to estimate from the energy separation between this feature and the main shape resonance a tetragonal distortion of about 0.58 ± 0.06 A. We give “a priori” arguments whereby a conventional EXAFS (extended X-ray absorption fine structure) analysis, even supplied with state of art theoretical improvements, fails to discriminate between distorted or undistorted clusters in solution.

MXAN : a new software procedure to perform geometrical fitting of experimental XANES spectra

A new software procedure, MXAN, to fit experimental XANES spectra is presented here. The method is based on the comparison between the experimental spectrum and several theoretical calculations generated by changing the relevant geometrical parameter of the site around the absorbing atom. The x-ray photoabsorption cross section is calculated using the general multiple-scattering scheme, utilizing a complex Hedin-Lunqvist energy-dependent potential to describe the exchange correlation interaction. Our method has been applied to the study of geometrical environment of the tetrahedral zinc site of the protein superoxide dismutase (SOD). The experimental Zn K-edge XANES spectrum has been fitted in the space of the first shell coordination parameters (ligand distances and angles) following the behavior of the chi-square as a function of the local distortion from the starting crystallographic structure. The recovered structure is found to be independent on the starting conditions, showing the theoretical uniqueness of the structural solution. Strengths and limitations of the application to real systems are also discussed.

X-ray structure analysis of a metalloprotein with enhanced active-site resolution using in situ x-ray absorption near edge structure spectroscopy

X-ray absorption spectroscopy is exquisitely sensitive to the coordination geometry of an absorbing atom and therefore allows bond distances and angles of the surrounding atomic cluster to be measured with atomic resolution. By contrast, the accuracy and resolution of metalloprotein active sites obtainable from x-ray crystallography are often insufficient to analyze the electronic properties of the metals that are essential for their biological functions. Here, we demonstrate that the combination of both methods on the same metalloprotein single crystal yields a structural model of the protein with exceptional active-site resolution. To this end, we have collected an x-ray diffraction data set to 1.4-Å resolution and Fe K-edge polarized x-ray absorption near edge structure (XANES) spectra on the same cyanomet sperm whale myoglobin crystal. The XANES spectra were quantitatively analyzed by using a method based on the multiple scattering approach, which yielded Fe-heme structural parameters with ±(0.02–0.07)-Å accuracy on the atomic distances and ±7° on the Fe–CN angle. These XANES-derived parameters were subsequently used as restraints in the crystal structure refinement. By combining XANES and x-ray diffraction, we have obtained an cyanomet sperm whale myoglobin structural model with a higher precision of the bond lengths and angles at the active site than would have been possible with crystallographic analysis alone.

X-ray Absorption Spectroscopy of Hemes and Hemeproteins in Solution: Multiple Scattering Analysis

A full quantitative analysis of Fe K-edge X-ray absorption spectra has been performed for hemes in two porphynato complexes, that is, iron(III) tetraphenylporphyrin chloride (Fe(III)TPPCl) and iron(III) tetraphenylporphyrin bis(imidazole) (Fe(III)TPP(Imid)2), in two protein complexes whose X-ray structure is known at atomic resolution (1.0 A), that is, ferrous deoxy-myoglobin (Fe(II)Mb) and ferric aquo-myoglobin (Fe(III)MbH2O), and in ferric cyano-myoglobin (Fe(III)MbCN), whose X-ray structure is known at lower resolution (1.4 A). The analysis has been performed via the multiple scattering approach, starting from a muffin tin approximation of the molecular potential. The Fe-heme structure has been obtained by analyzing independently the Extended X-ray Absorption Fine Structure (EXAFS) region and the X-ray Absorption Near Edge Structure (XANES) region. The EXAFS structural results are in full agreement with the crystallographic values of the models, with an accuracy of +/- 0.02 A for Fe-ligand distances, and +/-6 degrees for angular parameters. All the XANES features above the theoretical zero energy (in the lower rising edge) are well accounted for by single-channel calculations, for both Fe(II) and Fe(III) hemes, and the Fe-N p distance is determined with the same accuracy as EXAFS. XANES evaluations of Fe-5th and Fe-6th ligand distances are determined with 0.04-0.07 A accuracy; a small discrepancy with EXAFS (0.01 to 0.05 A beyond the statistical error), is found for protein compounds. Concerns from statistical correlation among parameters and multiple minima in the parameter space are discussed. As expected, the XANES accuracy is slightly lower than what was found for polarized XANES on Fe(III)MbCN single crystal (0.03-0.04 A), and states the actual state-of-the-art of XANES analysis when used to extract heme-normal parameters in a solution spectrum dominated by heme-plane scattering.

Structure of densified vitreous silica: Silicon and oxygen XANES spectra and multiple scattering calculations

The decrease of the mean Si-O-Si angle in vitreous silica upon densification from 2.20 to 2.36 gcm-3 has been followed by oxygen and silicon K-edge XANES spectroscopy. Multiple scattering calculations using clusters of two shells around the oxygen and silicon atoms, respectively, are in good agreement with experimental absorption spectra and confirm mean Si-O-Si angles between 130 and 144° for these samples, and a decrease of the mean angle with densification. The experimental spectra also exhibit features due to scattering at outer (>2) shells around the photoabsorbers.

Reinvestigation of the EXAFS and xanes spectra of ferrocene and nickelocene in the framework of the multiple scattering theory

Abstract This paper produces direct evidences that even non-collinear scattering paths can give rise to well-detectable and interpretable signatures in EXAFS spectra. Ferrocene or nickelocene are most favourable examples to study these rather small signals because the shortest intermolecular distances are too large to interfer with them and add no significant contribution to the EXAFS spectrum. For the first time, we have been able to resolve in the R-space individual contributions of specific double and triple scattering paths and also to reproduce their relative amplitudes and phases using full ab initio simulations carried out in the general regime of spherical wave propagation of the ejected/scattered photoelectron. Due to considerable rotational disorder of the cyclopentadienyl (Cp) rings, especially at room temperature, all multiple scattering paths involving carbon atoms located on different rings were found to vanish. Full multiple scattering XANES calculations have also been performed on the same systems and were shown to be identical in the staggered (D5d) or eclipsed (D5h) conformations of the Cp rings. The experimental XANES spectra exhibit a shoulder which is better resolved in the case of ferrocene: our simulations have established the origin of this shoulder and that its resolution was sensitive to small variations of the metal…C bond lengths. The weak pre-edge structure can be explained either by a quadrupolar allowed transition to an antibonding (3d-like) excited state of symmetry 5e1g if the rings have D5d group symmetry, or by a disorder-allowed dipolar transition to the corresponding state if the group symmetry is reduced to D5. In the case of ferrocene, there is also an additional “bump” at ≈ 12 eV past the main absorption peak, which is not reproduced by our single-electron calculations: a possible interpretation which, however, is not yet firmly established, is to assign this feature to a multielectron shakeup satellite.

Redox-Induced Structural Dynamics of Fe-Heme Ligand in Myoglobin by X-Ray Absorption Spectroscopy

The Fe(III) --> Fe(II) reduction of the heme iron in aquomet-myoglobin, induced by x-rays at cryogenics temperatures, produces a thermally trapped nonequilibrium state in which a water molecule is still bound to the iron. Water dissociates at T > 160 K, when the protein can relax toward its new equilibrium, deoxy form. Synchrotron radiation x-ray absorption spectroscopy provides information on both the redox state and the Fe-heme structure. Owing to the development of a novel method to analyze the low-energy region of x-ray absorption spectroscopy, we obtain structural pictures of this photo-inducible, irreversible process, with 0.02-0.06-A accuracy, on the protein in solution as well as in crystal. After photo-reduction, the iron-proximal histidine bond is shortened by 0.15 A, a reinforcement that should destabilize the iron in-plane position favoring water dissociation. Moreover, we are able to get the distance of the water molecule even after dissociation from the iron, with a 0.16-A statistical error.

Solution [Cu(amm)]2+ is a Strongly Solvated Square Pyramid: A Full Account of the Copper K-edge XAS Spectrum Within Single-Electron Theory

The solution structure of Cu(II) in 4 M aqueous ammonia, [Cu(amm)](2+), was assessed using copper K-edge extended X-ray absorption fine structure (EXAFS) and Minuit XANes (MXAN) analyses. Tested structures included trigonal planar, planar and D2d -tetragonal, regular and distorted square pyramids, trigonal bipyramids, and Jahn-Teller distorted octahedra. Each approach converged to the same axially elongated square pyramid, 4 x Cu-Neq=2.00+/-0.02 A and 1 x Cu-Nax=2.16+/-0.02 A (EXAFS) or 2.20+/-0.07 A (MXAN), with strongly localized solvation shells. In the MXAN model, four equatorial ammonias averaged 13 degrees below the Cu(II) xy-plane, which was 0.45+/-0.1 A above the mean N4 plane. When the axial ligand equilibrium partial occupancies of about 0.65 ammonia and 0.35 water were included, EXAFS modeling found Cu-Lax distances of 2.16 and 2.31 A, respectively, reproducing the distances found in the crystal structures of [Cu(NH3)5](2+) and [Cu(NH3)4(H2O)](2+). A transverse axially localized solvent molecule was found at 2.8 A (EXAFS) or 3.1 A (MXAN). Six second-shell solvent molecules were also found at about 3.4+/-0.01 (EXAFS) or 3.8+/-0.2 A (MXAN). The structure of Cu(II) in 4 M pH 10 aqueous NH 3 may be notationally described as {[Cu(NH 3)4.62(H2O)0.38](solv)}(2+).6solv, solv=H2O, NH 3. The prominent shoulder and duplexed maximum of the rising K-edge XAS of [Cu(amm)](2+) primarily reflect the durable and well-organized solvation shells, not found around [Cu(H2O)5](2+), rather than two-electron shakedown transitions. Not accounting for solvent scattering thus may confound XAS-based estimates of metal-ligand covalency. [Cu(amm)](2+) continues the dissymmetry previously found for the solution structure of [Cu(H2O)5](2+), again contradicting the rack-bonding theory of blue copper proteins.