{"id":4732,"date":"2012-08-03T14:57:22","date_gmt":"2012-08-03T17:57:22","guid":{"rendered":"https:\/\/www.cnpem.staging.wpengine.com\/?p=4732"},"modified":"2026-03-03T10:09:07","modified_gmt":"2026-03-03T13:09:07","slug":"exposing-valence-bond-model-inadequacies","status":"publish","type":"post","link":"https:\/\/cnpem.br\/en\/exposing-valence-bond-model-inadequacies\/","title":{"rendered":"Exposing Valence-Bond Model Inadequacies"},"content":{"rendered":"

Argonne National Laboratory, on August 2nd<\/sup><\/em><\/p>\n

Nature makes science fun by never failing to surprise.<\/p>\n

\"\"

Europium valence determined by XANES, NFS, and bond-valence (B-V) parameterization. XANES and NFS results are in good agreement but are at odds with the bond-valence parameterization method. Shading differentiates the four different valence regimes as described in the text.<\/p><\/div>\n


\n<\/em><\/span>Just when scientists think they have a thing figured out, nature sends them scurrying to the whiteboard because of some unexpected result.<\/span><\/p>\n

The latest involves the so-called \u201cbond-valence model,\u201d which for years has been used to relate the number of nearest neighbors of the central atom of molecule or crystal (coordination number) and the interatomic distances between the atoms to the valence state.<\/p>\n

\u201cValence\u201d represents the number of bonds that an atom can form with one or more other atoms. The bond-valence sum rules provided an easy way to calculate valence from the coordination number and interatomic distances.<\/p>\n

Research at the U.S. Department of Energy Office of Science\u2019s Advanced Photon Source (APS) by researchers from Argonne National Laboratory, the Brazilian Synchrotron Light Laboratory, the Carnegie Institution of Washington, and Commissariat \u00e0 l’\u00e9nergie atomique-CEA (France) has shown, however, that gaining valence information requires a lot more work when it comes to mixed-valence systems. Their results have been published in the journal\u00a0Physical Review Letters<\/em>.<\/p>\n

The culprit that caused all this trouble was Europium monoxide (EuO), which is known to be a bit unruly even under ideal circumstances. Under ambient conditions, EuO has the same crystal structure as common table salt, sodium chloride (NaCl), and, as with salt, the two atoms inside each molecule exist as positively and negatively charged ions.<\/p>\n

The Eu ion usually has a +2 valence (Eu+2<\/sup>) under ambient conditions, but the Eu+3<\/sup>\u00a0valence state is energetically close by, meaning that it wouldn\u2019t take much to induce a shift to the Eu+3<\/sup>\u00a0valence state. That\u2019s because Europium\u2019s valence state is not primarily due to the electrons occupying a single orbital level inside the atom, as is true of less obstreperous materials, but to the combined effect of electrons from different orbits. This is what makes EuO a mixed-valence system.<\/p>\n

The scientists in this study loaded polycrystalline samples of EuO into a diamond anvil cell and performed x-ray diffraction (XRD) on APS x-ray beamline 16-BM-D (operated by the High Pressure Collaborative Access Team), and x-ray absorption near-edge spectroscopy (XANES) and nuclear forward scattering (NFS) experiments under high pressure on Argonne X-ray Science Division beamlines 4-ID-D and 3-ID-D, respectively. The XRD experiments allowed the scientists to determine how EuO volume changed upon being squeezed by pressures as high as 92\u00a0gigapascals (GPa), which is more than 13 million pounds per square inch. The XANES measurements directly probed the electronic structure of EuO as a function of lattice contraction, thus providing valence information. The pressure dependence of Eu valence was verified using the NFS technique.<\/p>\n

The XRD data indicated that the EuO volume decreased steadily with increasing pressure until a pressure of about 45 GPa was reached, where a sudden 7% volume collapse was seen. From there on, the volume decreased continuously once again.<\/p>\n

\n
\n
\"\"<\/a><\/dt>\n
Researchers Stas Sinogeikin, Daniel Haskel, Narcizo Souza-Neto. Back: Ercan Alp in the experiment station at APS beamline 4-ID-D, where the high-pressure x-ray absorption spectroscopy measurements were carried out. (Not pictured: Jiyong Zhao, Guoyin Shen, G. Lapertot.)<\/dd>\n<\/dl>\n<\/div>\n
\n

\u201cPressurizing a material usually causes a gradual decrease in volume, which tails off at high pressures because core electrons in atoms repel each other,\u201d said lead author Narcizo Souza-Neto, a former postdoctoral researcher at the APS who is currently a scientist at the LNLS. \u201cSudden volume changes, however, are rare and require a different explanation.\u201d<\/p>\n<\/div>\n

The volume collapse was found to be due to a shift in crystal structure from the NaCl structure to the cesium chloride (CsCl) structure, which has a higher coordination number and a longer bond length. This much was well known, leading people to speculate that the Eu2+<\/sup>\u00a0ions changed into Eu3+<\/sup>ions at the same time.<\/p>\n

\u201cThe ionic size of Eu3+<\/sup>\u00a0is about 20% smaller than Eu2+<\/sup>,\u201d Souza-Neto said. \u201cSince the Eu3+<\/sup>\u00a0state is close to the Eu2+<\/sup>state in energy, people have assumed that the volume collapse is accompanied, and possibly driven, by a valence transition to the Eu3+<\/sup>\u00a0state. We found that this is not the case.\u201d<\/p>\n

The researchers found that Europium ions remained in the Eu2+<\/sup>\u00a0state until a pressure of 14\u00a0GPa was reached. Between 14 and 44 GPa, the Europium ions displayed a mixed-valence state composed of discrete and fluctuating Eu2+<\/sup>\u00a0and Eu3+<\/sup>\u00a0ions that were distributed homogeneously throughout. NaCl and CsCl structures coexisted from 44 GPa to 59 GPa, with the Europium ions in the CsCl structures displaying a nearly Eu2+<\/sup>\u00a0state. Above 59 GPa, the CsCl structure was seen throughout, with the Europium ions being in the Eu2+<\/sup>\u00a0state.<\/p>\n

\u201cThe Eu ions do initially move toward a 3+ state as the pressure goes up, but the volume collapse is accompanied by a\u00a0decrease<\/em>\u00a0in valence and an\u00a0increase<\/em>\u00a0in ion size, which the CsCl structure allows, since it gives the Eu ions a bit more room to expand, permitting them to revert to the 2+ valence,\u201d said Argonne physicist Daniel Haskel, a collaborator on the experiment.<\/p>\n

\u201cThe numerous superb facilities for high-pressure research at the APS allowed us to get a full picture of this electronic transition. As it turns out, the bond-valence model cannot deal with the fluctuating valence state observed up to 45 GPa since the dynamics of this fluctuation are too fast for the lattice to respond, causing the relationship between valence and bond distance to break down,\u201d Haskel said.<\/p>\n

Europium monoxide may not be found in the typical household today, but that may soon change. Because of its properties as a spin-polarized ferromagnetic semiconductor, much research is being directed toward manufacturing EuO spintronic devices. Spintronics is the emerging technological field that has already given us high-capacity computer hard drives based on the giant magnetoresistance effect.<\/p>\n

\u2014 Vic Comello (VComello@anl.gov<\/span><\/a>)<\/em><\/p>\n

See: Narcizo M. Souza-Neto1,2,*<\/sup>, Jiyong Zhao1<\/sup>, Ercan E. Alp1<\/sup>, Guoyin Shen3<\/sup>, Stas V. Sinogeikin3<\/sup>,\u00a0<\/sup>G. Lapertot4<\/sup>, and Daniel Haskel1,**<\/sup>, \u201cReentrant valence transition in EuO at high pressures: beyond the bond-valence model,\u201d\u00a0Phys. Rev. Lett.\u00a0109<\/strong>, 026403 (2012)<\/a>. DOI:10.1103\/PhysRevLett.109.026403<\/p>\n

Author affiliations:\u00a01<\/sup>Argonne National Laboratory,\u00a02<\/sup>\u00a0Brazilian Synchrotron Light Laboratory,\u00a03<\/sup>Carnegie Institution of Washington,\u00a04<\/sup>CEA-France<\/p>\n

Correspondence: *narcizo.souza@lnls.br<\/a>, **haskel@aps.anl.gov<\/a><\/p>\n

Work at Argonne is supported by the U.S. Department of Energy (DOE) Office of Science under Contract No. DE-AC-02- 06CH11357. The High Pressure Collaborative Access Team is supported by the\u00a0Carnegie Institution of Washington<\/em>, the Carnegie DOE Alliance Center, the University of Nevada, Las Vegas, and Lawrence Livermore National Laboratory through funding from DOE- National Nuclear Security Administration, DOE- Basic Energy Sciences and the National Science Foundation.<\/p>\n

Use of the Advanced Photon Source at Argonne National Laboratory was supported by the DOE\u2019s Office of Science under Contract No. DE-AC02-06CH11357.<\/p>\n

The Advanced Photon Source at Argonne National Laboratory is one of five national synchrotron radiation light sources supported by the U.S. Department of Energy\u2019s Office of Science to carry out applied and basic research to understand, predict, and ultimately control matter and energy at the electronic, atomic, and molecular levels, provide the foundations for new energy technologies, and support DOE missions in energy, environment, and national security. To learn more about the Office of Science x-ray user facilities, visit\u00a0https:\/\/science.energy.gov\/user-facilities\/basic-energy-sciences\/<\/a>.<\/p>\n

Argonne National Laboratory seeks solutions to pressing national problems in science and technology. The nation’s first national laboratory, Argonne conducts leading-edge basic and applied scientific research in virtually every scientific discipline. Argonne researchers work closely with researchers from hundreds of companies, universities, and federal, state and municipal agencies to help them solve their specific problems, advance America’s scientific leadership and prepare the nation for a better future. With employees from more than 60 nations, Argonne is managed by\u00a0UChicago Argonne, LLC<\/a>\u00a0for the\u00a0U.S. Department of Energy<\/a>‘s\u00a0Office of Science<\/a>.<\/p>\n


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