ch 1-atomic structure

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  • 8/13/2019 Ch 1-Atomic Structure

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    Atomic Structure

    Dr. R. D. Senthilkumar,

    Assistant Head, Dept. of Math & Appl. Science

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    Dr. R.D. Senthilkumar, Asst. Head, Dept. of Math & Appl. Sciences, MEC

    Intended Learning Outcomes

    After the completion of this class, you will be

    able to:

    Describe the atom and its sub particles

    Recall the properties of atom and its sub-particles

    Explain the structure of atom (Bohr atomic model)

    Calculate Bohr radius of orbit

    Determine the velocity and frequency of revolving

    electron

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    Dr. R.D. Senthilkumar, Asst. Head, Dept. of Math & Appl. Sciences, MEC

    What is fundamental ?

    A eternal question

    People have long asked that what is the world made up of?

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    Dr. R.D. Senthilkumar, Asst. Head, Dept. of Math & Appl. Sciences, MEC

    Answer is

    Atom

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    Dr. R.D. Senthilkumar, Asst. Head, Dept. of Math & Appl. Sciences, MEC

    What is an atom?

    A fundamental particle of matter

    Very smaller in size

    Consists of electron, nucleus (proton andneutron)

    Has both negative and positive charges

    Atoms are stable Atoms can stick together to form molecules

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    Dr. R.D. Senthilkumar, Asst. Head, Dept. of Math & Appl. Sciences, MEC

    Structure of an atom

    Electron

    Proton Neutron

    Electron Proton Neutron

    Discovered by JJ Thomson Rutherford James Chadwick

    Charge -1.6 x 10-19 C +1.6 x 10-19C No Charge

    Mass 9.1110-31Kg 1.673 10-27 Kg 1.675 10-27 Kg

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    7/20Dr. R.D. Senthilkumar, Asst. Head, Dept. of Math & Appl. Sciences, MEC

    Atomic models

    To explain the structure of atom, several

    theories have been proposed called as atomic

    models and they are

    Thomsons model

    Rutherfords nuclear model

    Bohrs atom model Sommerfelds relativistic model

    Vector atom model

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    8/20Dr. R.D. Senthilkumar, Asst. Head, Dept. of Math & Appl. Sciences, MEC

    Thomson atom model

    According to this model, Atom is a heavy sphere about 10-10m in

    diameter

    Electrons and positive particles are uniformlydistributed inside the spherical atom

    Repulsive force between two adjacentelectrons is balanced by the equal andopposite attractive forces acting betweenelectron and positive particle

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    9/20Dr. R.D. Senthilkumar, Asst. Head, Dept. of Math & Appl. Sciences, MEC

    Thomson atom model contd

    Electron

    Positive

    particles

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    10/20Dr. R.D. Senthilkumar, Asst. Head, Dept. of Math & Appl. Sciences, MEC

    Rutherfords nuclear atomic model

    Rutherford, in 1911, proposed a new type ofmodel of the atom

    According to this model,

    Positive charge of the atom is concentrated in avery small volume (< 10-13cm in dia) at its centre.This central core is called nucleus

    Nucleus is surrounded by Electrons are revolving

    around the nucleus in a spiral orbits. Hence, the entire atom becomes electrically

    neutral

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    11/20Dr. R.D. Senthilkumar, Asst. Head, Dept. of Math & Appl. Sciences, MEC

    Rutherfords model

    Spiral orbit

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    12/20Dr. R.D. Senthilkumar, Asst. Head, Dept. of Math & Appl. Sciences, MEC

    Drawbacks of Rutherfords nuclear

    atomic model

    The stability of the atom as a whole

    Distribution of electrons around the nucleus

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    Bohrs atom model contd

    Electron

    Proton Neutron

    Circular orbit

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    15/20Dr. R.D. Senthilkumar, Asst. Head, Dept. of Math & Appl. Sciences, MEC

    Bohrs theory of hydrogen atom

    Bohr explained the hydrogen atom based onthe following assumptions:

    Electron in an atom moves in a circular orbitaround the nucleus under the influence ofCoulomb force of attraction between the

    electron and nucleus (entire atom is stable asCoulomb force of attraction is balanced byNewtonian centrifugal force as shown in fig.)

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    Bohrs theory of hydrogen atom

    contd

    2

    0

    2

    4 r

    e

    r

    mv

    2

    =

    Coulomb force

    Centrifugalforce

    +Z e

    - ev

    r

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    17/20Dr. R.D. Senthilkumar, Asst. Head, Dept. of Math & Appl. Sciences, MEC

    Bohrs theory of hydrogen atom

    contd

    Only particular orbits are allowed in an atom

    Electron moving in such allowed orbit does notemit or absorb the radiation (total energy of

    the electron revolving in any one of the so manyallowed orbits remains constant)

    Radiation is emitted when an electron jumpsfrom higher energy(E2) orbit to lower energy (E1)

    orbit. Frequency (h) of emitted radiation isrelated by the equation

    E2E1= h

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    19/20Dr. R.D. Senthilkumar, Asst. Head, Dept. of Math & Appl. Sciences, MEC

    Formulae

    Bohrs radius of orbit rn= n2x ao

    where, n - no. of orbit & ao= 0.529x10-10metre

    Velocity of revolving electron v = nh/2mr

    Where, h is Plancks constant = 6.626x10-34Joule-sec

    m is mass of electron = 9.11x10-31kg

    r is radius of nthorbit

    Frequency of revolving electron f = v/2r

    Where v is the velocity of electron.

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    20/20D R D S thilk A t H d D t f M th & A l S i MEC