1. Department of Earth and Planetary Sciences, Brown University, Providence, RI, USA
2. Department of Physics and Astronomy, Union College, Schenectady, NY, USA
3. HPCAT, Geophysical Laboratory, Carnegie Institution of Washington, Argonne, IL, USA
4. Geodynamics Research Center, Ehime University, Ehime, Japan
5. Center for Advanced Radiation Sources, The University of Chicago, Chicago, IL, USA