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Discussion about How will understanding Crystalline Structure affect material selection.write
more as you can. please dont copy & paste, write in your own words. thank you
Solution
A crystal structure is a unique arrangement of atoms, ions or molecules in a crystallineliquid or
solid. It describes a highly ordered structure, occurring due to the intrinsic nature of its
constituents to form symmetric patterns.
The crystal lattice can be thought of as an array of 'small boxes' infinitely repeating in all three
spatial directions. Such aunit cell is the smallest unit of volume that contains all of the structural
and symmetry information to build-up the macroscopic structure of the lattice by translation.
Patterns are located upon the points of a lattice, which is an array of points repeating periodically
in three dimensions. The lengths of the edges of a unit cell and the angles between them are
called the lattice parameters. The symmetry properties of the crystal are embodied in its space
group.
A crystal's structure and symmetry play a role in determining many of its physical properties,
such as cleavage, electronic band structure, and optical transparency.
Unit cell:
The crystal structure of a material (the arrangement of atoms within a given type of crystal) can
be described in terms of its unit cell. The unit cell is a small box containing one or more atoms
arranged in 3-dimensions. The unit cells stacked in three-dimensional space describe the bulk
arrangement of atoms of the crystal. The unit cell is represented in terms of its lattice parameters,
which are the lengths of the cell edges (a,b and c) and the angles between them (alpha, beta and
gamma), while the positions of the atoms inside the unit cell are described by the set of atomic
positions (xi , yi , zi) measured from a lattice point. Commonly, atomic positions are
represented in terms of fractional coordinates, relative to the unit cell lengths.
Miller indices
Planes with different Miller indices in cubic crystals
Vectors and atomic planes in a crystal lattice can be described by a three-value Miller index
notation (?mn). The ?, m, and ndirectional indices are separated by 90

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Discussion about How will understanding Crystalline Structure affect.pdf

  • 1. Discussion about How will understanding Crystalline Structure affect material selection.write more as you can. please dont copy & paste, write in your own words. thank you Solution A crystal structure is a unique arrangement of atoms, ions or molecules in a crystallineliquid or solid. It describes a highly ordered structure, occurring due to the intrinsic nature of its constituents to form symmetric patterns. The crystal lattice can be thought of as an array of 'small boxes' infinitely repeating in all three spatial directions. Such aunit cell is the smallest unit of volume that contains all of the structural and symmetry information to build-up the macroscopic structure of the lattice by translation. Patterns are located upon the points of a lattice, which is an array of points repeating periodically in three dimensions. The lengths of the edges of a unit cell and the angles between them are called the lattice parameters. The symmetry properties of the crystal are embodied in its space group. A crystal's structure and symmetry play a role in determining many of its physical properties, such as cleavage, electronic band structure, and optical transparency. Unit cell: The crystal structure of a material (the arrangement of atoms within a given type of crystal) can be described in terms of its unit cell. The unit cell is a small box containing one or more atoms arranged in 3-dimensions. The unit cells stacked in three-dimensional space describe the bulk arrangement of atoms of the crystal. The unit cell is represented in terms of its lattice parameters, which are the lengths of the cell edges (a,b and c) and the angles between them (alpha, beta and gamma), while the positions of the atoms inside the unit cell are described by the set of atomic positions (xi , yi , zi) measured from a lattice point. Commonly, atomic positions are represented in terms of fractional coordinates, relative to the unit cell lengths. Miller indices Planes with different Miller indices in cubic crystals Vectors and atomic planes in a crystal lattice can be described by a three-value Miller index notation (?mn). The ?, m, and ndirectional indices are separated by 90