Abstract
Radial diffraction in the diamond anvil cell is a relevant technique for the study of plastic behavior of materials under high pressure. In this geometry, incident x-rays are perpendicular to the compression direction and we study the distortion of the diffraction rings, as well as variations of diffraction intensities with orientation. Plastic deformation induces local stress heterogeneities that are not properly accounted for in theories relying on elasticity only. Here, I show how those experiments coupled to numerical plasticity models can be used to extract important information, such as the identification of microscopic deformation mechanisms, a measure of the average stress supported by the sample, and a quantification of local stresses.
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Antonangeli, D., M. Krisch, G. Fiquet, D. L. Farber, C. M. Aracne, J. Badro, F. Occelli, and H. Requardt, 2004, Elasticity of Cobalt at High pressure studied by inelastic x-ray scattering, Phys. Rev. Lett. 93, 215505
Antonangeli, D., S. Merkel, and D. L. Farber, 2006, Elastic anisotropy in hcp metals at high pressure and the sound wave anisotropy of the Earth’s inner core, Geophys. Res. Lett. 33, L24303
Burnley, P. C., and D. Zhang, 2008, Interpreting in situ x-ray diffraction data from high pressure deformation experiments using elastic-plastic self-consistent models: an example using quartz, J. Phys. : Condens. Matter 20, 285201
Duffy, T. S., G. Shen, D. L. Heinz, J. Shu, Y. Ma, H. K. Mao, R. J. Hemley, and A. K. Singh 1999, Lattice strains in gold and rhenium under non-hydrostatic compression to 37 GPa, Phys. Rev. B 60, 15063–15073
Hemley, R. J., H. K. Mao, G. Shen, J. Badro, P. Gillet, M. Hanfland, and D. Häusermann, 1997, X-Ray imaging of stress and strain of diamond, iron, and tungsten at megabar pressures, Science 276, 1242–1245
Kavner, A., 2007, Garnet yield strength at high pressures and implications for upper mantle and transition zone rheology, J. Geophys. Res. 112, B12207
Kinsland, G. L., and W. A. Bassett, 1976, Modification of the diamond anvil cell for the measuring strain and the strength of materials at pressures up to 300 kilobar, Rev. Sci. Instrum. 47, 130–132
Kocks, U. F., C. Tomé, and H. R. Wenk, 1998, Texture and Anisotropy: Preferred Orientations and their Effects on Material Properties, Cambridge University Press, Cambridge
Lebensohn, R. A., and C. N. Tomé, 1994, A self-consistent visco-plastic model: calculation of rolling textures of anisotropic materials, Mater. Sci. Eng. A 175, 71–82
Li, L., D. J. Weidner, J. Chen, M. T. Vaughan, M. Davis, and W. B. Durham (2004), X-ray strain analysis at high pressure: Effect of plastic deformation in MgO, J. Appl. Phys. 95, 8357–8365
Lutterotti, L., S. Matthies, and H. R. Wenk, 1999, MAUD: a friendly Java program for materials analysis using diffraction, IUCr: Newslett. CPD 21, 14–15
Mao, H. K., J. Shu, Y. Fei, J. Hu, and R. J. Hemley, 1996, The wüstite enigma, Phys. Earth Planet. Int. 96, 135–145
Mao, H. K., J. Shu, G. Shen, R. J. Hemley, B. Li, and A. K. Singh, 1998, Elasticity and rheology of iron above 220 GPa and the nature of the Earth’s inner core, Nature 396, 741–743
Mao, W. L., V. V. Struzhkin, A. Q. R. Baron, S. Tsutsui, C. E. Tommaseo, H.-R. Wenk, M. Y. Hu, P. Chow, W. Sturhahn, J. Shu, R. J. Hemley, D. L. Heinz, and H. K. Mao, 2008, Experimental determination of the elasticity of iron at high pressure, J. Geophys. Res. 113, B09213
Matthies, S., H. G. Priesmeyer, and M. R. Daymond, 2001, On the diffractive determination of single-crystal elastic constants using polycrystalline samples, J. Appl. Cryst. 34, 585–601
Merkel, S., H. R. Wenk, J. Shu, G. Shen, P. Gillet, H. K. Mao, and R. J. Hemley, 2002, Deformation of polycrystalline MgO at pressures of the lower mantle, J. Geophys. Res. 107, 2271
Merkel, S., and T. Yagi, 2005, X-ray transparent gasket for diamond anvil cell high pressure experiments, Rev. Sci. Instrum. 76, 046109
Merkel, S., J. Shu, P. Gillet, H. Mao, and R. Hemley, 2005, X-ray diffraction study of the single crystal elastic moduli of ε-Fe up to 30 GPa, J. Geophys. Res. 110, B05201
Merkel, S., 2006, X-ray diffraction evaluation of stress in high pressure deformation experiments, J. Phys: Condens. Matter 18, S949–S962
Merkel, S., A. Kubo, L. Miyagi, S. Speziale, T. S. Duffy, H.-K. Mao, and H.-R. Wenk, 2006a, Plastic deformation of MgGeO3 post-perovskite at lower mantle pressures, Science 311, 644–646
Merkel, S., N. Miyajima, D. Antonangeli, G. Fiquet, and T. Yagi, 2006, Lattice preferred orientation and stress in polycrystalline hcp-Co plastically deformed under high pressure, J. Appl. Phys. 100, 023510
Merkel, S., C. Tomé, and H.-R. Wenk, 2009, A modeling analysis of the influence of plasticity on high pressure deformation of hcp-Co, Phys. Rev. B 79, 064110
Miyagi, L., S. Merkel, T. Yagi, N. Sata, Y. Ohishi, and H. R. Wenk, 2006, Quantitative Rietveld texture analysis of CaSiO3 perovskite deformed in a diamond anvil cell, J. Phys.: Condens. Matter 18, S995–S1005
Singh, A. K., C. Balasingh, H. K. Mao, R. J. Hemley, and J. Shu, 1998, Analysis of lattice strains measured under non-hydrostatic pressure, J. Appl. Phys. 83, 7567–7575
Speziale, S., I. Lonardelli, L. Miyagi, J. Pehl, C. E. Tommaseo, and H. R. Wenk, 2006, Deformation experiments in the diamond-anvil cell: texture in copper to 30 GPa, J. Phys.: Condens. Matter 18, S1007–S1020
Weidner, D. J., L. Li, M. Davis, and J. Chen, 2004, Effect of plasticity on elastic modulus measurements, Geophys. Res. Lett. 31, L06621
Weinberger, M. B., S. H. Tolbert, and A. Kavner, 2008, Osmium metal studied under high pressure and nonhydrostatic Stress, Phys. Rev. Lett. 100, 045506
Wenk, H. R., S. Matthies, J. Donovan, and D. Chateigner, 1998, BEARTEX : a Windows-based program system for quantitative texture analysis, J. Appl. Cryst. 31, 262–269
Wenk, H. R., S. Matthies, R. J. Hemley, H. K. Mao, and J. Shu, 2000, The plastic deformation of iron at pressures of the Earth’s inner core, Nature 405, 1044–1047
Wenk, H. R., I. Lonardelli, S. Merkel, L. Miyagi, J. Pehl, S. Speziale, and C. E. Tommaseo, 2006, Deformation textures produced in diamond anvil experiments, analyzed in radial diffraction geometry, J. Phys: Condens. Matter 18, S933–S947
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Merkel, S. (2010). Radial Diffraction in the Diamond Anvil Cell: Methods and Applications. In: Boldyreva, E., Dera, P. (eds) High-Pressure Crystallography. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9258-8_10
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DOI: https://doi.org/10.1007/978-90-481-9258-8_10
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