Bohr Model and Atomic Spectra

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    Quantum Mechanics

    & Spectroscopy

    Atomic

    Spectra

    Absor

    ption

    Spectr

    a

    Emi

    ssio

    n

    spe

    ctra

    Atomic

    Structure

    Unused

    Sectio

    n

    Space

    1

    Rutherford

    Model

    J J

    Thomson

    Model

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    The Smallest Indivisible Part Of

    A Substance Is Called As

    AN ATOM

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    Structure of the Atom

    Evidence in 1900 indicated thatthe atom was not a fundamental unit:

    1) There seemed to be too many kinds

    of atoms, each belonging to a distinct chemicalelement (way more than earth, air, water, and

    fire!)

    2) Elements combine with some elements but not

    with others, a characteristic that hinted at aninternal atomic structure.

    3) The discoveries of radioactivity, x rays, and the

    electron all seemed to involve atoms breaking

    apart in some way

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    Electrons (discovered in

    1897) carried the negative

    charge.

    Electrons were very light,

    even compared to the atom.

    Protons had not yet been

    discovered, but clearly

    positive charge had to be

    present to achieve chargeneutrality.

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    Thomsons plum-pudding model of the atom had thepositive charge spread uniformly throughout a sphere the

    size of the atom, with electrons embedded in the uniform

    background.

    In Thomsons view, when the atom was heated, the electrons

    could vibrate about their equilibrium positions, thus producing

    electromagnetic radiation.

    Unfortunately, Thomson couldnt explain spectra with thismodel.

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    Experiments of Geiger and Marsden

    Rutherford, Geiger, and Marsdenconceived a new technique forinvestigating the structure ofmatter by scattering a particlesfrom atoms.

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    Rutherford Explanation & Model

    Atom is composed ofTiny nucleus in which its

    positive charge and

    nearly all mass was

    concentrated, with

    electrons placed some

    distance away.

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    R

    Fc = Fe

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    Rutherford Scattering Formula

    N() = Ni n t Z 2e482 r2KE2sin4(/2)Gold Nucleus Radius= 3.0 x 10-14 m

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    Splitting of Wavelengths

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    Absorption Spectrum

    When white light is passed through a

    a gas ,the gas is found to absorb light

    of certain wavelength .So we get a

    bright spectrum with dark lines on it.This is known as Absorption

    spectrum.

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    It is observed that for every line in atomic absorption

    spectrum of an element , there is a line in emission

    spectrum. However reverse is not true.

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    Emission Spectrum

    When an atomic gas or vapor at small

    pressure is suitably excited , the

    emitted radiation has a spectrum

    which contains certain specificwavelengths only. Such a spectrum is

    known as Emission Spectrum.

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    Hydrogen spectrum

    Lyman UV R(1/12-1/n2)

    Balmer Visible R(1/22-1/n2)

    Paschen IR R(1/32-1/n2)

    Brackett IR R(1/42-1/n2)

    Pfund IR R(1/52-1/n2)

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    Bohrs postulates

    1)An electron moves in a circular orbit around the nucleus underinfluence of columbic force.

    2) It is only possible for electron to move in an orbit for which its

    orbital angular momentum L is integral multiple of h/2 .L=nh/2

    3)Despite the fact that electron is constantly accelarating,it will not

    radiate.

    4)EM wave will be radiated when electron jumps from one orbit to

    other.