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Lecture 3 September 14, 2009 Atomic Models: Rutherford & Bohr

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Welcome to 3.091

Lecture 3

September 14, 2009

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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

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La Lazy Ce college Pr professors Nd never Pm produce Sm sufficiently Eu educated Gd graduates Tb to Dy dramatically Ho help Er executives Tm trim Yb yearly Lu losses.

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La Loony Ce chemistry Pr professor Nd needs Pm partner: Sm seeking Eu educated Gd 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

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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

138.9055 920 3455 6.146 1.10 5.577 [Xe]5d16s2 Lanthanum 57

La

* 3

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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:

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Figure 1.18

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Figure 1.19 Paper 0.5- cm lead 10-cm lead Îł rays ÎČ particles α particles

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Rutherford-Geiger-Marsden experiment

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b

Marsden's Analysis

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

q

Trajectory of incident

α particle

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principles of modern chemistry:

*

recognize patterns

*

develop a quantitative model that

- explains our observations

- makes predictions that can be

tested by experiment

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Bohr Postulates for the Hydrogen Atom

1. Rutherford atom is correct

2. 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/2π, n = 1, 2, 3,


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

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Bohr Postulates for the Hydrogen Atom

1. Rutherford atom is correct

2. 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/2π, n = 1, 2, 3,


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

ΔE = Ef - Ei = hΜ = hc/λ

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Bohr Postulates for the Hydrogen Atom

1. Rutherford atom is correct

2. 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/2π, n = 1, 2, 3,


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

ΔE = Ef - Ei = hΜ = hc/λ

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Bohr Postulates for the Hydrogen Atom

1. Rutherford atom is correct

2. 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/2π, n = 1, 2, 3,


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

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0 500 1000 1500 2000 2500 3000 5000 K 4000 K 3000 K Radiation intensity Wavelength (nm) Classical prediction 6000 K

E = h

Μ

Planck suggests that light is composed of energy packets or quanta. The elementary unit of e-m radiation is the photon.

Infrared Visible

UV

6000 K

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Bohr Postulates for the Hydrogen Atom

1. Rutherford atom is correct

2. 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/2π, n = 1, 2, 3,


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

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© source unknown. All rights reserved. This image is excluded

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© source unknown. All rights reserved. This image is excluded from our Creative Commons license. For more information, see

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© source unknown. All rights reserved. This image is excluded from our

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Isotopes of Hydrogen

hydrogen

1766 Henry Cavendish, London

deuterium

1931 Harold Urey, Columbia U.

tritium

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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

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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)

α and ÎČ 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)

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MIT OpenCourseWare

http://ocw.mit.edu

3.091SC Introduction to Solid State Chemistry

Fall 2009

Figure

Figure 1.19 Paper0.5- cm lead10-cm lead Îł rays ÎČ particles α particles

References

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