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    Welcome to 3.091

    Lecture 3

    September 14, 2009

    Atomic Models: Rutherford & Bohr

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    1

    3 4

    11 12

    19 20 21 22 23 24 25 26 27 28 29 30 31 32

    2

    5 6 7 8 9 10

    13 14 15 16 17 18

    33 34 35 36

    39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54

    57 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86

    37 38

    55 56

    87 88 89

    Periodic Table Quiz

    Name Grade /10

    Image by MIT OpenCourseWare.

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    La Lazy

    Ce college

    Pr professorsNd never

    Pm produce

    Sm sufficiently

    Eu educatedGd graduates

    Tb to

    Dy dramatically

    Ho help

    Er executives

    Tm trim

    Yb yearly

    Lu losses. source unknown. All rights reserved. This image is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse.

    http://ocw.mit.edu/fairusehttp://ocw.mit.edu/fairusehttp://ocw.mit.edu/fairuse
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    La Loony

    Ce chemistry

    Pr professorNd needs

    Pm partner:

    Sm seeking

    Eu educatedGd graduate

    Tb to

    Dy develop

    Ho hazardous

    Er experiments

    Tm testing

    Yb young

    Lu lab assistants.

    cannot be referring

    to 3.091!

    must be the other

    chemistry professor

    source unknown. All rights reserved. This image is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse.

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    CEase not I to slave, back breaking to tend;PRideless and bootless stoking hearth and fire.

    No Dream of mine own precious time to spend

    Pour'ed More to sate your glutt'nous desire.

    SMelting anew my ten-thousandth hour

    EUtopia forever I eschew.Growing Dimmer is my fleeing power

    To Bid these curs'ed problem sets adieu.

    DYing away whilst thy hosts are fought

    HOpeless I come should in lecture I doze.

    ERgo, like a sad slave, stay and rest nought.

    Then Must I tool and toil while fatigue grows.Yet, Bloody though I must be, and quite ill

    Light the Universal abyss I will.

    57

    138.9055920

    3455

    6.146

    1.10

    5.577

    [Xe]5d16s2

    Lanthanum

    57

    La3*

    Courtesy of MIT Student. Used with permission.

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    The Structure of the Atom

    status report ca. end of the 19th century

    * atom is electrically neutral

    * -ve charge carried by electrons

    * e- has very small mass

    bulk of the atom is +ve,

    most mass resides in +ve charge

    Question:

    what is the spatial distribution of charge inside an atom?

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    Figure 1.18

    Image by MIT OpenCourseWare.

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    Figure 1.19

    Paper0.5- cm lead10-cm lead

    rays

    particles

    particles

    Image by MIT OpenCourseWare.

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    Rutherford-Geiger-Marsden experiment

    Image by MIT OpenCourseWare.

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    Image by MIT OpenCourseWare.

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    Image by MIT OpenCourseWare.

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    b

    Marsden's Analysis

    Scattering of an -particle which approaches a heavy nucleus with an impact parameter b.

    qTrajectory of incident

    particle

    gold nucleus

    Image by MIT OpenCourseWare.

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    principles of modern chemistry:

    * recognize patterns

    * develop a quantitative model that

    - explains our observations

    - makes predictions that can betested by experiment

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    Bohr Postulates for the Hydrogen Atom

    1. Rutherford atom is correct2. Classical EM theory not applicable to orbiting e-

    3. Newtonian mechanics applicable to orbiting e-

    4. Eelectron = Ekinetic + Epotential

    5. e- energy quantized through its angular momentum:

    L = mvr = nh/2, n = 1, 2, 3,

    6. Planck-Einstein relation applies to e- transitions:

    E = Ef- Ei = h = hc/

    c =

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    Bohr Postulates for the Hydrogen Atom

    1. Rutherford atom is correct2. Classical EM theory not applicable to orbiting e-

    3. Newtonian mechanics applicable to orbiting e-

    4. Eelectron = Ekinetic + Epotential

    5. e- energy quantized through its angular momentum:

    L = mvr = nh/2, n = 1, 2, 3,

    6. Planck-Einstein relation applies to e- transitions:

    E = Ef- Ei = h = hc/

    c =

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    Image by MIT OpenCourseWare.

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    Bohr Postulates for the Hydrogen Atom

    1. Rutherford atom is correct2. Classical EM theory not applicable to orbiting e-

    3. Newtonian mechanics applicable to orbiting e-

    4. Eelectron = Ekinetic + Epotential

    5. e- energy quantized through its angular momentum:

    L = mvr = nh/2, n = 1, 2, 3,

    6. Planck-Einstein relation applies to e- transitions:

    E = Ef- Ei = h = hc/

    c =

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    Bohr Postulates for the Hydrogen Atom

    1. Rutherford atom is correct2. Classical EM theory not applicable to orbiting e-

    3. Newtonian mechanics applicable to orbiting e-

    4. Eelectron = Ekinetic + Epotential

    5. e- energy quantized through its angular momentum:

    L = mvr = nh/2, n = 1, 2, 3,

    6. Planck-Einstein relation applies to e- transitions:

    E = Ef- Ei = h = hc/

    c =

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    0 500 1000 1500 2000 2500 3000

    5000 K

    4000 K

    3000 K

    Radiationintensity

    Wavelength (nm)

    Classical prediction6000 K

    E = h

    Planck suggests that light is composed of energy

    packets or quanta. The elementary unit of e-m

    radiation is thephoton.

    InfraredVisibleUV

    6000 K

    Image by MIT OpenCourseWare.

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    Bohr Postulates for the Hydrogen Atom

    1. Rutherford atom is correct2. Classical EM theory not applicable to orbiting e-

    3. Newtonian mechanics applicable to orbiting e-

    4. Eelectron = Ekinetic + Epotential

    5. e- energy quantized through its angular momentum:

    L = mvr = nh/2, n = 1, 2, 3,

    6. Planck-Einstein relation applies to e- transitions:

    E = Ef- Ei = h = hc/

    c =

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    Image by MIT OpenCourseWare.

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    source unknown. All rightsreserved. This image isexcludedfrom our Creative Commons

    license.For more information,

    seehttp://ocw.mit.edu/fairuse.

    http://ocw.mit.edu/fairusehttp://ocw.mit.edu/fairusehttp://ocw.mit.edu/fairusehttp://ocw.mit.edu/fairuse
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    source unknown. All rights

    reserved. This image isexcluded from our Creative

    Commons license. For moreinformation, seehttp://ocw.mit.edu/fairuse.

    http://ocw.mit.edu/fairusehttp://ocw.mit.edu/fairuse
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    source unknown. All rights reserved. This image is excluded from ourCreative Commons license. For more information, see http://ocw.mit.edu/fairuse.

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    source unknown. All rights reserved. This image is excluded from ourCreative Commons license. For more information, see http://ocw.mit.edu/fairuse.

    http://ocw.mit.edu/fairusehttp://ocw.mit.edu/fairuse
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    source unknown. All rights reserved. This image is excluded from ourCreative Commons license. For more information, see http://ocw.mit.edu/fairuse.

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    Isotopes of Hydrogen

    hydrogen1766 Henry Cavendish, London

    deuterium

    1931 Harold Urey, Columbia U.

    tritium

    1934 Ernest Rutherford, Cambridge U.

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    Dalton proposes the

    indivisible unit of an

    element is the atom.

    1803

    Thomson discovers electrons,

    believed to reside within a

    sphere of uniform positive

    charge (the "plum pudding"

    model).

    1904

    Rutherford demonstrates the

    existence of a positively charged

    nucleus that contains nearly all

    the mass of an atom.

    1911

    Bohr proposes fixed circular

    orbits around the nucleus

    for electrons.

    1913

    In the current model of the

    atom, electrons occupy regions

    of space (orbitals) around the

    nucleus determined by their energies.

    1926

    Image by MIT OpenCourseWare.

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    J. J. Thomson (1856-1940)

    Cathode ray = Charged particle = Electron (1897)

    charge-to-mass ratio of electron (1897)

    J.J Thomson

    "Plum pudding" model of

    atom (1904)

    Robert Millikan (1868-1953)

    Charge and mass of electron

    (1909)

    James Chadwick

    (1891-1974)

    Neutron (1932)

    Ernest Rutherford

    Proton (1920)

    Ernest Rutherford

    Nuclear model of atom (1911)

    Ernest Rutherford

    (1871-1937)

    and particles (1898)

    Marie and Pierre Curie

    (1867-1934, 1854-1906)

    Radioactive elements

    polonium and radium (1898)

    Henri Becquerel (1852-1908)

    Uranium emits rays that fog

    photographic film (1869)

    Image by MIT OpenCourseWare.

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    MIT OpenCourseWarehttp://ocw.mit.edu

    3.091SC Introduction to Solid State ChemistryFall 2009

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