Coherent diffraction imaging of nanoscale strain evolution in a single crystal under high pressure

The evolution of morphology and internal strain under high pressure fundamentally alters the physical property, structural stability, phase transition and deformation mechanism of materials. Until now, only averaged strain distributions have been studied. Bragg coherent X-ray diffraction imaging is highly sensitive to the internal strain distribution of individual crystals but requires coherent illumination, which can be compromised by the complex high-pressure sample environment. Here we report the successful de-convolution of these effects with the recently developed mutual coherent function method to reveal the three-dimensional strain distribution inside a 400 nm gold single crystal during compression within a diamond-anvil cell. The three-dimensional morphology and evolution of the strain under pressures up to 6.4 GPa were obtained with better than 30 nm spatial resolution. In addition to providing a new approach for high-pressure nanotechnology and rheology studies, we draw fundamental conclusions about the origin of the anomalous compressibility of nanocrystals.

[1]  Percy Williams Bridgman,et al.  The physics of high pressure , 1931 .

[2]  William H. Richardson,et al.  Bayesian-Based Iterative Method of Image Restoration , 1972 .

[3]  L. Lucy An iterative technique for the rectification of observed distributions , 1974 .

[4]  J. Goodman Statistical Optics , 1985 .

[5]  Peter M. Bell,et al.  Calibration of the ruby pressure gauge to 800 kbar under quasi‐hydrostatic conditions , 1986 .

[6]  H. Mao,et al.  Static compression of iron to 300 GPa and Fe(0.8)Ni(0.2) alloy to 260 GPa - Implications for composition of the core , 1990 .

[7]  K. Nugent Partially coherent diffraction patterns and coherence measurement , 1991 .

[8]  Toshihiro Suzuki Metal-mineral Reaction under High Pressure and Its Implications for Composition of the Core , 1994 .

[9]  I. Robinson,et al.  Reconstruction of the shapes of gold nanocrystals using coherent x-ray diffraction. , 2001, Physical review letters.

[10]  M. Gillan,et al.  Phonon Density of States of Iron up to 153 Gigapascals , 2001, Science.

[11]  I. Robinson,et al.  Partial Coherence Effects on the Imaging of Small Crystals using Coherent X-ray Diffraction , 2001 .

[12]  Hongkun Park,et al.  Kondo resonance in a single-molecule transistor , 2002, Nature.

[13]  Wenge Yang,et al.  Three-dimensional X-ray structural microscopy with submicrometre resolution , 2002, Nature.

[14]  H. Poulsen,et al.  Strain tensor development in a single grain in the bulk of a polycrystal under loading , 2002 .

[15]  S. Marchesini,et al.  X-ray image reconstruction from a diffraction pattern alone , 2003, physics/0306174.

[16]  An overview on the characterization and mechanical behavior of nanoporous Gold , 2005 .

[17]  A. Hamza,et al.  Characterization and Mechanical Behavior of Nanoporous Gold , 2006 .

[18]  Garth J. Williams,et al.  Three-dimensional mapping of a deformation field inside a nanocrystal , 2006, Nature.

[19]  Xianghui Xiao,et al.  Anomalous high-pressure behavior of amorphous selenium from synchrotron x-ray diffraction and microtomography , 2008, Proceedings of the National Academy of Sciences.

[20]  W. Steurer,et al.  Unexpected high stiffness of Ag and Au nanoparticles. , 2008, Physical review letters.

[21]  R. Harder,et al.  Coherent X-ray diffraction imaging of strain at the nanoscale. , 2009, Nature materials.

[22]  R. Harder,et al.  The effect of exit beam phase aberrations on parallel beam coherent x-ray reconstructions. , 2010, The Review of scientific instruments.

[23]  Wenge Yang,et al.  Pressure-induced bonding and compound formation in xenon-hydrogen solids. , 2010, Nature chemistry.

[24]  Wenge Yang,et al.  Nanoprobe measurements of materials at megabar pressures , 2010, Proceedings of the National Academy of Sciences.

[25]  A very large two-dimensional superlattice domain of monodisperse gold nanoparticles by self-assembly , 2011 .

[26]  S. Sinogeikin,et al.  Cold melting and solid structures of dense lithium , 2011 .

[27]  A. Diaz,et al.  Three-dimensional high-resolution quantitative microscopy of extended crystals. , 2011, Nature communications.

[28]  Lianmeng Zhang,et al.  Evidence for an oxygen-depleted liquid outer core of the Earth , 2011, Nature.

[29]  M. Eremets,et al.  Conductive dense hydrogen. , 2011, Nature materials.

[30]  Y. Ohishi,et al.  A perovskitic lower mantle inferred from high-pressure, high-temperature sound velocity data , 2012, Nature.

[31]  R Harder,et al.  High-resolution three-dimensional partially coherent diffraction imaging , 2012, Nature Communications.

[32]  H. Mao,et al.  Re-emerging superconductivity at 48 kelvin in iron chalcogenides , 2012, Nature.