Atomic resolution holography.

Abstract

Atomic resolution holography, such as X-ray fluorescence holography (XFH)[1] and photoelectron holography (PH), has the attention of researcher as an informative local structure analysis, because it provides three dimensional atomic images around specific elements within a range of a few nanometers. It can determine atomic arrangements around a specific element without any prior knowledge of structures. It is considered that the atomic resolution holographic is a third method of structural analysis at the atomic level after X-ray diffraction (XRD) and X-ray absorption fine structure (XAFS). As known by many researchers, XRD and XAFS are established methods that are widespread use in various fields. XRD and XAFS provide information on long-range translational periodicities and very local environments, respectively, whereas the atomic resolution holography gives 3D information on the local order and can visualize surrounding atoms with a large range of coordination shells. We call this feature "3D medium-range local structure observation".In addition to this feature, the atomic resolution holography is very sensitive to the displacement of atoms from their ideal positions, and one can obtain quantitative information about local lattice distortions by analyzing reconstructed atomic images[2] When dopants with different atomic radii from the matrix elements are present, the lattices around the dopants are distorted. However, using the conventional methods of structural analysis, one cannot determine the extent to which the local lattice distortions are preserved from the dopants. XFH is a good tool for solving this problem.Figure1 shows a recent achievement on a relaxor ferroelectric of Pb(Mg1/3Nb2/3)O3 (PMN) using XFH. The structural studies of relaxor ferroelectrics have been carried out by X-ray or neutron diffractions, which suggested rhombohedral distortions of their lattices. However, their true pictures have not been obtained, yet. The Nb Kα holograms showed four separate Pb images, as shown in Fig.1. Using these images, we could obtain acute and obtuse rhombohedral structures of the crystal unit cells. Moreover, the Pb-Pb correlated images reconstructed from Pb Lα holograms showed a local structure of body center-like 2a0 ×2a0 × 2a0 superlattice, proving a rigid 3D network structural model combining the two kinds of rhombohedrons. This superstructure are believed to play an important role in the relaxor behaviour of PMN at atomic level[3].jmicro;63/suppl_1/i13/DFU047F1F1DFU047F1Fig. 1.3D images of the nearest Pb and O atoms around Nb in Pb(Mg1/3Nb2/3)O3. The cube represents 1/8 of the unit cell.