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Material Science and Metallurgy
Chapter 01:Structure of Materials
Presented By:
Dr.S.D.Patil
Associate Professor,
Department of Mechanical Engineering
 Crystal Structure
 Crystal Structure and Bravais lattice
 Atomic Packing Factor
Material science and Metallurgy Lecture 5.pptx
Material science and Metallurgy Lecture 5.pptx
 The crystal structures observed in solids are
described in terms of an idealized geometric
concept called a space lattice. Space lattice is
a three dimensional pattern of points in
space. This is also called point lattice and
shown in figure. The point in the space lattice
with identical surroundings are called lattice
points.
Material science and Metallurgy Lecture 5.pptx
Material science and Metallurgy Lecture 5.pptx
 Unit cells are described by three vectors a, b and c
drawn from one corner of the cell.
 These vectors define the cell and are called
crystallographic axes of the cell.
 They may also be described in terms of their lengths (a,
b,c) and the angles between them (留,硫,粒).
 These lengths and angles are lattice constant or lattice
parameters of unit cell.
 Review (example with square lattice)
Lattice: square, with chosen primitive translation
vectors 1ヌ, 2μ (u1 and u2 are integers); remember,
the lattice is a mathematical mesh of points on space
Basis: blue circle (located at (0,0)) + yellow oval
(located at (a/2,a/2)); basis coordinates are found by
identifying repeating unit cell, setting one corner of
the cell as (0,0), and finding the fractional coordinate
of the other atom(s) in the basis in terms of the
chosen primitive translation vectors
Unit cell=lattice+ basis; repeating unit in crystal Last
lecture we discussed the primitive cell which is a
property of the lattice (mathematical construct). The
unit cell is a building block of a crystal
Material science and Metallurgy Lecture 5.pptx
 Lattice point can be arranged in only 14
different arrangements (arrays) called as
Bravais lattices.
 The actual crystal structures will be similar to
these 14 bravais lattices and can be obtained
by assuming atoms or group of atoms at the
position of lattice points.
Material science and Metallurgy Lecture 5.pptx
Material science and Metallurgy Lecture 5.pptx
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Material science and Metallurgy Lecture 5.pptx

  • 1. Material Science and Metallurgy Chapter 01:Structure of Materials Presented By: Dr.S.D.Patil Associate Professor, Department of Mechanical Engineering
  • 2. Crystal Structure Crystal Structure and Bravais lattice Atomic Packing Factor
  • 5. The crystal structures observed in solids are described in terms of an idealized geometric concept called a space lattice. Space lattice is a three dimensional pattern of points in space. This is also called point lattice and shown in figure. The point in the space lattice with identical surroundings are called lattice points.
  • 8. Unit cells are described by three vectors a, b and c drawn from one corner of the cell. These vectors define the cell and are called crystallographic axes of the cell. They may also be described in terms of their lengths (a, b,c) and the angles between them (留,硫,粒). These lengths and angles are lattice constant or lattice parameters of unit cell.
  • 9. Review (example with square lattice) Lattice: square, with chosen primitive translation vectors 1ヌ, 2μ (u1 and u2 are integers); remember, the lattice is a mathematical mesh of points on space Basis: blue circle (located at (0,0)) + yellow oval (located at (a/2,a/2)); basis coordinates are found by identifying repeating unit cell, setting one corner of the cell as (0,0), and finding the fractional coordinate of the other atom(s) in the basis in terms of the chosen primitive translation vectors Unit cell=lattice+ basis; repeating unit in crystal Last lecture we discussed the primitive cell which is a property of the lattice (mathematical construct). The unit cell is a building block of a crystal
  • 11. Lattice point can be arranged in only 14 different arrangements (arrays) called as Bravais lattices. The actual crystal structures will be similar to these 14 bravais lattices and can be obtained by assuming atoms or group of atoms at the position of lattice points.