Material Science Topics

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    Selection of Materials

    ?? Formed shape and dimension

    ?? Maintain shape in service

    ?? Maintain properties during use

    ?? Compatible with other parts: How joined

    ?? Recycling properties

    ?? Interaction with the environment

    ?? Economically made into useful product

    Type of Materials

    Metals :

    ?? Aluminium, magnesium, Zinc, copper, lead, iron, titanium, nickel etc

    (see periodic table)

    ?? Good electrical and thermal properties

    ?? High strength

    ?? High stiffness?? Ductility and formability

    ?? Shock resistance

    ?? Structural and load bearing applications

    ?? Use of alloys

    Ceramics:?? Brick, glass, refractories, Abrasives

    ?? Low electrical and thermal conductivity

    ?? Insulators

    ?? Strong and hard

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    ?? Brittle

    ?? May be used for load bearing applications

    ?? Turbine blades (high temperature applications)

    Polymers:

    ?? Large molecular structures of organic molecules (C and H)

    ?? Polymerisation

    ?? Rubber, plastics, adhesives

    ?? Low electrical and thermal conductivity

    ?? Low strength?? Not suitable for high temperature applications

    ?? Thermoplastics and thermosets

    Semiconductors:

    ?? Silicon, Ge, GaAs

    ?? Brittle?? Electronic components and communication applications

    ?? Controlled electrical conductivity

    ?? Transistors, diodes, ICs

    Composite Materials

    ?? Concrete, plywood, fibre glass, Metal matrix composites (MMCs)

    ?? Two or more materials

    ?? Take advantage of differing properties

    ?? Light weight, very strong, stiff

    ?? May be used in high temperature applications

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    ?? Shock resistant

    Properties = f(structure and processing method)

    ?? Structure (Microstructure, atomic structure and bonding)

    ?? Processing method (grain structure, forming)

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    Mechanical and Physical properties

    Structure of Materials

    ?? Atomic structure (Atoms and bonding)

    ?? Atomic arrangement (lattice/crystal structure)

    ?? Micro structure (grains, alloying)

    ?? Macro structure (surface properties)

    Atomic Structure: The atom

    Dalton Model (1808)

    ?? Matter is composed of tiny particles called atoms

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    ?? Atoms can neither be subdivided nor changed into another

    ?? Atoms are incapable of being created or destroyed

    ?? Atoms of any pure substance are identical with one another in weight,

    size, and other properties

    Thomson Atomic model (1910)

    ?? Electron, proton, neutron

    ?? Charge carried by electrons and protons (1.6 E-19 C)

    ?? No. of electrons and no. of protons are equal

    Bohrs Atomic model (particle like behaviour)

    ?? Electrons revolve around the nucleus in defined orbits

    ?? The centripetal force required for rotation is provided by electrostatic

    attraction between the electrons and the nucleus

    ?? Electrons in specific orbits have defined amount of energy

    (Quantised)?? Electrons can acquire energy and jump to higher energy levels (orbits)

    Atomic number : number of electron or proton in each atom (basis of

    periodic table)

    Atomic mass : concentrated within the nucleus:

    Mass of proton = mass of neutron = 1.67 E -24 g

    Mass of electron = 9.11 E -28 g

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    Isotope: Same number of protons, different number of neutrons

    Since mass of atom is very small: the concept of atomic mass unit One AMU = 1/12 of atomic mass of the most common isotope of Carbon 12.

    Atomic weight : weighted average of the atomic masses of the atoms

    naturally occurring isotopes (on the basis of AMU/atom)

    One mole of any element contains 6.023 E 23 atoms or molecules

    1 AMU/atom = 1 g/mol

    e.g For iron: Atomic weight = 55.85 amu/atom

    = 55.85 g/mol

    See derivation of equations based on Bohrs atomic model

    ?? Velocity of electrons

    ?? Principle orbits

    ?? Kinetic and potential energy

    ?? Energy emission

    ?? Frequency and wavelength of emission (Lyman, Balmer and other

    series)

    Limitations of Bohrs model

    ?? Why certain spectral lines are more dense than others

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    ?? Energy emission within same orbit

    ?? Cannot explain atoms with large number of electrons

    ?? Failed to render any quantitative explanation to chemical bonding

    Quantum Mechanics (Wave like behaviour) : Concept of orbital and sub

    orbitals1. Principal quantum numbers (K, L, M, N, O)

    2. Orbital quantum numbers (s, p, d, e, f)

    3. Magnetic quantum numbers (+ 1)

    4. Spin quantum number (+)

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    Pauli Exclusion principle

    No two electrons in an atom can have identical values for all the four

    quantum numbers.

    Electronic (Electron) Configuration in an atom (Distribution of electrons

    in various sub shells)

    1. Total number of electrons with the same principal quantum number nis 2n 2

    2. In the nth shell, there are n sub shells having different values of orbital

    quantum number such as 0, 1, 2, 3, (n-1)

    3. Each sub shell can have a maximum of 2(2 l+1) electrons

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    Bonding

    ?? States of matter: Solid, Liquid and Gas

    ?? Primary Bonds: Ionic, Covalent and Metallic

    ?? Secondary bonds: Hydrogen bonding, dipoles, Van der Vaals

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    Ionic Bonding

    Mechanism

    Characteristics

    ?? Strong and hard?? High melting and boiling points

    ?? Generally brittle in nature and cannot be drawn into sheets or wires

    ?? Generally non conductors of electricity (melts may conduct)

    ?? Generally transparent

    ?? Polar liquids like water can dissolve ionic crystals

    Covalent Bonding

    Mechanism

    Characteristics

    ?? Found in solid, liquid and gas

    ?? Directional in nature

    ??They are soft

    ?? Have low melting and boiling points

    ?? Do not conduct electric current

    ?? Soluble in non polar solvents e.g. benzene

    Metallic Bonding

    Mechanism

    Characteristics

    ?? Good conductors

    ?? High thermal and electrical conductivity

    ?? Moderate to high melting temperature

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    ?? Opaque

    ?? Crystalline in nature

    Secondary bonds (weaker than primary bonds)?? Dipole

    ?? Hydrogen bonding

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    Lecture 2 Crystalline Structure of Solids

    ?? Regularity with which atoms or ions are arranged wrt one another

    ?? Crystalline material: repeating or periodic array over large interatomic

    distances?? Applies to all metals, many ceramic materials, certain polymers.

    Properties of Materials = f(crystalline structure)

    Assumption

    Atoms are solid spheres with well defined diameter which are arranged in a3D array of points: also referred to a lattice

    Unit cell: Small repeating entity; it is the basic structural unit or building

    block of a crystal.

    Metallic crystalline structures

    ?? SC

    ?? BCC (Fe, Cr)

    ?? FCC (Fe, Pb, Cu, Al)

    ?? HCP (Zn)

    Lattice Parameters

    Bravais Lattice

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    Coordination Number : Number of nearest atoms which are directly

    surrounding a given atom

    SC 6FCC 12

    BCC 8

    Inter atomic spacing : half the distance between nearest neighbours in a pure

    substance

    Number of atoms per unit cell

    ??SC 1

    ?? FCC 4

    ?? BCC 2

    Atomic Packing Factor ratio of volume of atoms per unit cell to volume of

    unit cell

    ?? SC 0.52

    ?? BCC 0.68

    ?? FCC 0.74

    Calculate density, inter atomic spacing etc

    Points, Directions and Planes

    ?? Importance

    ?? Deformation along directions

    Procedure

    ?? Coordinate System: Miller Indices

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    To denote planes in a crystal?? Find intercepts of the plane on the three axes?? Express them into axial units?? Take numerical parameters of the palne and find ratio of their reciprocals?? Convert these into whole numbers by multiplying with the LCM?? Obtain the miller indices of the plane expressed in (a, b, c)

    Example

    Notes on Miller indices?? Equally spaced parallel planes have same indices?? Plane parallel of one of the coordinate axes has an intercept of infinity and index

    zero?? Miller indices do not define one plane but a set of parallel planes?? Ratio of indices is important (4 2 2) is same as (2 1 1)?? Plane passing through origin has non zero intercepts?? The normal to a plane having index (h k l) is direction [h k l]?? Distance between adjacent planes of a set of parallel planes of indices (h k l) is

    given by?? Linear density : fraction of line length passing through atom centres

    BCCFCC

    ?? Planar density :?? Angle between two direction [u1 v1 w1] and [u2 v2 w2]

    Determining Crystal structure using X ray diffractio