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We thank H. Liu, Y. Meng, and the HPCAT staff for support in the experiment, R. Cava for assistance in sample synthesis, G. Rose for building our diamond anvil cell, D. Mainprice for his petrophysics software package, and the two anonymous reviewers for their comments. This work was supported by NSF and Carnegie/Department of Energy Alliance Center. Use of the Advanced Photon Source was supported by the Department of Energy, Office of Science, Office of Basic Energy Sciences, under contract no. W-31-109-ENG-38. Use of the HPCAT facility was supported by the Department of Energy-Basic Energy Sciences, Department of Energy-National Nudear Security Administration, NSF, Department of Defense-Tank-Automotive and Armaments Command, and the W. M. Keck Foundation. S.M. and S.S. also acknowledge support from the Miller Institute for Basic Research in Science.
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