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101 Week 13 2 Atoms and Atomic Structure November 2011

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Page 1: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 2

Atoms and

Atomic Structure

November 2011

Page 2: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 3

A remarkable fact, which is important to

science and technology:

Nature is simple.

November 2011

Page 3: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 4

What is matter?

Physics is a reductionist science.Beneath the surface, nature is simple!

All matter is composed of elements.

There are 91 stable elements, and about 20 other unstable elements which decay by radioactive processes.

November 2011

Page 4: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 5

Ancient ideas about matter –from the philosophers of ancient Greece

Elements. They had the idea that all matter is composed of a few basic forms of matter – air, earth, fire and water.

Atoms. They had the idea that matter has smallest particles; matter is not infinitely divisible.

Democritus (460 — 370 BC)

The word “Atom” comes from Greek,meaning “cannot be cut.”

November 2011

Page 5: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 6

Democritus of Abdera(460 – 370 BC)

“A + tome” ……cannot be cut

… the laughing philosopher

November 2011

Page 6: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 7

The Elements

November 2011

Page 7: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 8November 2011

Page 8: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 9

Noble gases

Alkali metals

Halogen gases

Precious metals

Semiconductors

Periodic properties of the elements: Elements in the same column have similar chemical and physical properties.

November 2011

Page 9: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 10

What is an element?

Each element has a unique atom.

These are not the elements of ancient Greece (air, earth, fire, water). There are 91 stable elements, plus some unstable ones.

Examples of materials that are not elements: compounds and mixtures. A chemical compound has a complex molecule (a bound state of different atoms) as its basic particle.

Atomic number of an element = the number of electrons in an atom of the element

November 2011

Page 10: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 11

The Atomic Theory

Link

November 2011

Page 11: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 12

Atomic Structure

November 2011

Page 12: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 13

Atomic Orbitals

November 2011

Page 13: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 14

Chemistry

Atoms combine in molecules, by sharing electrons

November 2011

Page 14: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 15

How big is an atom?

November 2011

Page 15: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 16

The Atom

How large is an atom?

How can we measure the size of an atom?

What fundamental factors determine the size of an atom?

November 2011

Page 16: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 17

Amedeo Avogadro1776 - 1856

But how do we know that atoms and molecules even exist?

… define a standard number of atoms or molecules, to use in the interpretation of chemical reactions by the atomic theory.

N

November 2011

Page 17: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 18

When does a theory become accepted as true?

If we cannot see an atom, can the atomic theory be accepted as true?

Atoms and molecules are much too small to be seen. An atom is only 1 / 5000 times as large as one wavelength of visible light.

The truth of atoms was not generally accepted until the 20th century. But how?

November 2011

Page 18: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 19

Brownian motion

Brownian motion is direct evidence of atoms.

Picture from Atoms by Jean Baptiste Perrin

Brownian motion is the random jittery motion of a small particle suspended in a fluid, due to collisions with the molecules of the fluid.

November 2011

Page 19: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 20

First Solvay Congress, 1911; Brussels; L-R seated at table: Nernst; Brillouin; Solvay; Lorentz; Warburg; Perrin; Wien; Curie; Poincare. L-R Standing: Goldschmidt; Planck; Rubens; Sommerfeld; Lindemann; De Broglie; Knudsen; Hasenohrl; Hostelet; Herzen; Jeans; Rutherford; Kamerlingh-Onnes; Einstein; Langevin

November 2011

Page 20: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 21

Jean Baptiste Perrin and Avogadro’s number N

N = 6.02 x 1023 atoms

Perrin used Brownian motion to measure Avogadro’s number, in 1909. The theory had been worked out in 1905 by Einstein.

The properties of the motion depend on temperature, molecular weight, and number density. From the observations Perrin could deduce the value of N. He got the Nobel prize in 1926.

Today N is determined most accurately by X-ray scattering.

November 2011

Page 21: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 22

(1) The mass density of solid carbon (diamond) is 3.52 g/cm3; so the volume of 12 grams of carbon is

How large is an atom?

3

312 53523

12cm.

cm/g.

gV

32312 1060 cm. N

V

cm

/

8

31

1014

3

aVr

(2) Therefore the volume of a single carbon atom (from N) is

(3) Convert Va to an atomic radius (Va = 4/3 p r3)

November 2011

Page 22: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 23

Result:The typical order of magnitude of an atomic radius is 10-10 m = 0.1 nm.

What determines this size?

November 2011

Page 23: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 24

Atomic structure

How do we know that an atom has this structure?

November 2011

Page 24: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 25November 2011

Page 25: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 26

The typical order of magnitude of an atomic radius is 10-10 m = 0.1 nm.Why?

What determines this size?…quantum dynamics of the electron

22

0

2

22

1

2energy kinetic

4)(energy potential

r

h

mm

pK

r

erV

Heisenberg uncertainty principle

The state with lowest energy has mean radius =

“Bohr radius”

m 1053.0

2

4 10

20

2

2

me

h

November 2011

Page 26: Atoms and Atomic Structure - Michigan State University · A chemical compound has a complex molecule ... Jean Baptiste Perrin and Avogadro’s number N ... Therefore the volume of

101 Week 13 27

Democritus of Abdera(460 – 370 BC)

November 2011