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Lattice Pattern Analysis

In: Data Science for Nano Image Analysis

Author

Listed:
  • Chiwoo Park

    (Florida State University)

  • Yu Ding

    (Industrial & Systems Engineering)

Abstract

Beyond morphology, studies on the spatial positioning and arrangements of smaller scale elements within bulk materials are of great interest to material scientists, because analysis of such arrangements could yield insights concerning the functionalities of materials. Towards that end, Chap. 5 presents the location and dispersion analysis of nanomaterials, whereas this chapter is dedicated to the lattice pattern analysis. A lattice, a term in geometry, describes here for material science purpose the symmetric arrangement of atoms in crystals. Naturally, lattice pattern analysis refers to the study of symmetric arrangement of atoms and their deviation from the symmetry. Lattice pattern analysis plays an important role in material property characterization. In fact, the field of crystallographic research at atomic length scales is meant to locate individual atoms, and identify symmetries, dislocations, and defects in atom’s locations. Quantification of these spatial features allows material scientists to map material performance as a function of the features. In this chapter, we introduce the relevant state-of-the-art approaches regarding the lattice pattern analysis.

Suggested Citation

  • Chiwoo Park & Yu Ding, 2021. "Lattice Pattern Analysis," International Series in Operations Research & Management Science, in: Data Science for Nano Image Analysis, chapter 0, pages 145-175, Springer.
    • Handle: RePEc:spr:isochp:978-3-030-72822-9_6
    DOI: 10.1007/978-3-030-72822-9_6
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