M. C. Scott

Three-dimensional imaging of dislocations in a nanoparticle at atomic resolution

Dislocations and their interactions strongly influence many material properties, ranging from the strength of metals and alloys to the efficiency of light-emitting diodes and laser diodes. Several experimental methods can be used to visualize dislocations. Transmission electron microscopy (TEM) has long been used to image dislocations in materials, and high-resolution electron microscopy can reveal dislocation core structures in high detail, particularly in annular dark-field mode. A TEM image, however, represents a two-dimensional projection of a three-dimensional (3D) object (although stereo TEM provides limited information about 3D dislocations). X-ray topography can image dislocations in three dimensions, but with reduced resolution. Using weak-beam dark-field TEM and scanning TEM, electron tomography has been used to image 3D dislocations at a resolution of about five nanometres (refs 15, 16). Atom probe tomography can offer higher-resolution 3D characterization of dislocations, but requires needle-shaped samples and can detect only about 60 per cent of the atoms in a sample. Here we report 3D imaging of dislocations in materials at atomic resolution by electron tomography. By applying 3D Fourier filtering together with equal-slope tomographic reconstruction, we observe nearly all the atoms in a multiply twinned platinum nanoparticle. We observed atomic steps at 3D twin boundaries and imaged the 3D core structure of edge and screw dislocations at atomic resolution. These dislocations and the atomic steps at the twin boundaries, which appear to be stress-relief mechanisms, are not visible in conventional two-dimensional projections. The ability to image 3D disordered structures such as dislocations at atomic resolution is expected to find applications in materials science, nanoscience, solid-state physics and chemistry.

Three-dimensional coordinates of individual atoms in materials revealed by electron tomography

Crystallography, the primary method for determining the 3D atomic positions in crystals, has been fundamental to the development of many fields of science. However, the atomic positions obtained from crystallography represent a global average of many unit cells in a crystal. Here, we report, for the first time, the determination of the 3D coordinates of thousands of individual atoms and a point defect in a material by electron tomography with a precision of ∼19 pm, where the crystallinity of the material is not assumed. From the coordinates of these individual atoms, we measure the atomic displacement field and the full strain tensor with a 3D resolution of ∼1 nm(3) and a precision of ∼10(-3), which are further verified by density functional theory calculations and molecular dynamics simulations. The ability to precisely localize the 3D coordinates of individual atoms in materials without assuming crystallinity is expected to find important applications in materials science, nanoscience, physics, chemistry and biology.

Deciphering chemical order/disorder and material properties at the single-atom level

Perfect crystals are rare in nature. Real materials often contain crystal defects and chemical order/disorder such as grain boundaries, dislocations, interfaces, surface reconstructions and point defects. Such disruption in periodicity strongly affects material properties and functionality. Despite rapid development of quantitative material characterization methods, correlating three-dimensional (3D) atomic arrangements of chemical order/disorder and crystal defects with material properties remains a challenge. On a parallel front, quantum mechanics calculations such as density functional theory (DFT) have progressed from the modelling of ideal bulk systems to modelling ‘real’ materials with dopants, dislocations, grain boundaries and interfaces; but these calculations rely heavily on average atomic models extracted from crystallography. To improve the predictive power of first-principles calculations, there is a pressing need to use atomic coordinates of real systems beyond average crystallographic measurements. Here we determine the 3D coordinates of 6,569 iron and 16,627 platinum atoms in an iron-platinum nanoparticle, and correlate chemical order/disorder and crystal defects with material properties at the single-atom level. We identify rich structural variety with unprecedented 3D detail including atomic composition, grain boundaries, anti-phase boundaries, anti-site point defects and swap defects. We show that the experimentally measured coordinates and chemical species with 22 picometre precision can be used as direct input for DFT calculations of material properties such as atomic spin and orbital magnetic moments and local magnetocrystalline anisotropy. This work combines 3D atomic structure determination of crystal defects with DFT calculations, which is expected to advance our understanding of structure–property relationships at the fundamental level.

Nanomaterial datasets to advance tomography in scanning transmission electron microscopy

Electron tomography in materials science has flourished with the demand to characterize nanoscale materials in three dimensions (3D). Access to experimental data is vital for developing and validating reconstruction methods that improve resolution and reduce radiation dose requirements. This work presents five high-quality scanning transmission electron microscope (STEM) tomography datasets in order to address the critical need for open access data in this field. The datasets represent the current limits of experimental technique, are of high quality, and contain materials with structural complexity. Included are tomographic series of a hyperbranched Co2P nanocrystal, platinum nanoparticles on a carbon nanofibre imaged over the complete 180° tilt range, a platinum nanoparticle and a tungsten needle both imaged at atomic resolution by equal slope tomography, and a through-focal tilt series of PtCu nanoparticles. A volumetric reconstruction from every dataset is provided for comparison and development of post-processing and visualization techniques. Researchers interested in creating novel data processing and reconstruction algorithms will now have access to state of the art experimental test data.

Electron tomography at 2.4 Å resolution

M. C. Scott, Chien-Chun Chen, Matthew Mecklenburg, Chun Zhu, Rui Xu, Peter Ercius, Ulrich Dahmen, B. C. Regan & Jianwei Miao Department of Physics and Astronomy and California NanoSystems Institute, University of California, Los Angeles, CA 90095, USA. National Center for Electron Microscopy, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA. These authors contributed equally to this work. Correspondence and requests for materials should be addressed to J. M. (miao@physics.ucla.edu).

Miao et al. reply

Replying to P. Rez & M. M. J. Treacy 503, http://dx.doi.org/10.1038/nature12660 (2013)Although we welcome Rez and Treacy’s comment on our paper, we find—on the basis of the considerations below—that these authors do not provide concrete scientific evidence to support their arguments, and that their main statements are not consistent with our multislice simulations and experimental results using two independent filters.

Atomic Electron Tomography: Probing 3D Structure and Material Properties at the Single-Atom Level

1. Dept. of Physics and Astronomy and California NanoSystems Institute, UCLA, CA, USA. 2. Dept. of Physics, National Sun Yat-sen University, Kaohsiung, Taiwan. 3. NCEM, Molecular Foundry, Lawrence Berkeley National Laboratory, Berkeley, CA, USA. 4. Dept. of Physics, University at Buffalo, the State University of New York, Buffalo, NY, USA. 5. Nanoscale Physics Research Laboratory, School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham, UK. 6. National Center for Computational Sciences, ORNL, Oak Ridge, TN, USA. 7. Computer Science and Mathematics Division, ORNL, Oak Ridge, TN, USA. 8. Center for Nanophase Materials Sciences, ORNL, Oak Ridge, TN, USA. 9. Dept. of Physics, University of Nebraska at Omaha, Omaha, NE, USA.

Three-Dimensional Determination of the Coordinates of Individual Atoms in Materials

1. Department of Physics & Astronomy and California NanoSystems Institute, and University of California, Los Angeles, CA, USA. 2. Nanoscale Physics Research Laboratory, School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham, UK. 3. National Center for Electron Microscopy, Molecular Foundry, Lawrence Berkeley National Laboratory, Berkeley, California, USA. 4. Department of Polymer Engineering, University of Akron, Akron, Ohio, USA. 5. Howard Hughes Medical Institute, UCLA-DOE Institute of Genomics and Proteomics, Los Angeles, California, USA. 6. Department of Materials Science and Engineering, Northwestern University, Evanston, IL, USA. Present address: Department of Physics, National Sun Yat-sen University, Kaohsiung, Taiwan.

Three-dimensional imaging of dislocations and defects in materials at atomic resolution using electron tomography

1.Department of Physics & Astronomy and California NanoSystems Institute, University of California, Los Angeles, CA 90095, USA. 2.National Center for Electron Microscopy, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA. 3.Departments of Materials Science & Engineering and California NanoSystems Institute, University of California, Los Angeles, CA 90095, USA. 4.Department of Materials Science & Engineering, Northwestern University, Evanston, IL 60201, USA.