Welcome to 3.091 Lecture 3 September 14, 2009 Atomic Models: Rutherford & Bohr

Welcome to 3.091

Lecture 3

September 14, 2009

Atomic Models: Rutherford & Bohr

Periodic Table Quiz

1

3 4

11 12

5

13

6

14

7

15

8

16

9

17

2

10

18

19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54

55 56 57 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86

87 88 89

Name Grade /10

Image by MIT OpenCourseWare.

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.

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

La Loony

Ce chemistry

Pr professor

Nd needs

Pm partner:

Sm seeking

Eu educated

Gd graduate cannot be referring to 3.091!

Tb to

Dy develop

Ho hazardous

Er experiments

Tm testing

Yb young

Lu lab assistants.

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 .

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.

Courtesy of MIT Student. Used with permission.

57

138.9055

920

3455

6.146

1.10

5.577

[Xe]5d 1 6s 2

Lanthanum

*

57

3

La

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?

Figure 1.18

Image by MIT OpenCourseWare.

Figure 1.19

10-cm lead 0.5- cm lead Paper

γ rays

β particles

α particles

Image by MIT OpenCourseWare.

Rutherford-Geiger-Marsden experiment

Image by MIT OpenCourseWare.

Image by MIT OpenCourseWare.

Image by MIT OpenCourseWare.

Marsden's Analysis

Trajectory of incident

α particle b q gold nucleus

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

Image by MIT OpenCourseWare.

principles of modern chemistry:

*

recognize patterns

*

develop a quantitative model that

- explains our observations

- makes predictions that can be tested by experiment

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. E electron

= E kinetic

+ E potential

5. e energy quantized through its angular momentum:

L = mvr = nh /2 π , n = 1, 2, 3,…

6. Planck-Einstein relation applies to e transitions:

Δ E = E f

- E i

= h ν = hc / λ c = νλ

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. E electron

= E kinetic

+ E potential

5. e energy quantized through its angular momentum:

L = mvr = nh /2 π , n = 1, 2, 3,…

6. Planck-Einstein relation applies to e transitions:

Δ E = E f

- E i

= h ν = hc / λ c = νλ

Image by MIT OpenCourseWare.

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. E electron

= E kinetic

+ E potential

5. e energy quantized through its angular momentum:

L = mvr = nh /2 π , n = 1, 2, 3,…

6. Planck-Einstein relation applies to e transitions:

Δ E = E f

- E i

= h ν = hc / λ c = νλ

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. E electron

= E kinetic

+ E potential

5. e energy quantized through its angular momentum:

L = mvr = nh /2 π , n = 1, 2, 3,…

6. Planck-Einstein relation applies to e transitions:

Δ E = E f

- E i

= h ν = hc / λ c = νλ

0

UV Visible

6000 K

Infrared

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

5000 K

Classical prediction

6000 K

E = h ν

500

4000 K

3000 K

1000 1500

Wavelength (nm)

2000 2500 3000

Image by MIT OpenCourseWare.

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. E electron

= E kinetic

+ E potential

5. e energy quantized through its angular momentum:

L = mvr = nh /2 π , n = 1, 2, 3,…

6. Planck-Einstein relation applies to e transitions:

Δ E = E f

- E i

= h ν = hc / λ c = νλ

Image by MIT OpenCourseWare.

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

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

Commons license. For more information, see http://ocw.mit.edu/fairuse .

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

Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .

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

Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .

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

Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .

Isotopes of Hydrogen

hydrogen

1766 Henry Cavendish, London deuterium

1931 Harold Urey, Columbia U. tritium

1934 Ernest Rutherford, Cambridge U.

1803 1904 1911

Dalton proposes the indivisible unit of an element is the atom.

1913

Thomson discovers electrons, believed to reside within a sphere of uniform positive charge (the "plum pudding" model).

1926

Rutherford demonstrates the existence of a positively charged nucleus that contains nearly all the mass of an atom.

Bohr proposes fixed circular orbits around the nucleus for electrons.

In the current model of the atom, electrons occupy regions of space (orbitals) around the nucleus determined by their energies.

Image by MIT OpenCourseWare.

J. J. Thomson (1856-1940)

Cathode ray = Charged particle = Electron (1897) charge-to-mass ratio of electron (1897)

Henri Becquerel (1852-1908)

Uranium emits rays that fog photographic film (1869)

Robert Millikan

(1868-1953)

Charge and mass of electron

(1909)

J.J Thomson

"Plum pudding" model of atom (1904)

Marie and Pierre Curie

(1867-1934, 1854-1906)

Radioactive elements polonium and radium (1898)

Ernest Rutherford

(1871-1937)

α and β particles (1898)

Ernest Rutherford

Nuclear model of atom (1911)

Ernest Rutherford

Proton (1920)

James Chadwick

(1891-1974)

Neutron (1932)

Image by MIT OpenCourseWare.

MIT OpenCourseWare http://ocw.mit.edu

3.091SC Introduction to Solid State Chemistry

Fall 2009

For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .