The Quantum Mechanical model

• It is based on the energy and possible location of an electron.

• how likely it is to find an electron is described in terms of probability. (ie.

Propeller blades)

• Based on work done by Shrodinger…

Atomic Orbitals

• The energy levels of electrons are labeled by principal quantum numbers (n)

• Each energy sublevel corresponds to an orbital of a different shape, which describes where the electron is likely to be found.

Atomic Orbitals

Quantum Mechanics

Orbital ( “ electron cloud ” )

– Region in space where there is 90% probability of finding an electron

90% probability of finding the electron

40

30

20

10

0

0

Electron Probability vs. Distance

50 100 150

Distance from the Nucleus (pm)

200 250

Orbital

Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem

Shapes of s, p, and d-Orbitals

s orbital

p orbitals

d orbitals

Please write this in your notes.

Orbital s p d f

Shape

Spherical

Figure-8, dumbbells

Double figure-8s and belted

Don’t worry!

No. per sublevel

1

3

5

7

The Shapes of the s, p, and d Orbitals

Sketch these in your notes

Electron Orbitals:

Electron orbitals

Equivalent

Electron shells

(a) 1s orbital (b) 2s and 2p orbitals

1999, Addison, Wesley, Longman, Inc. c) Neon Ne-10: 1s, 2s and 2p

Copyright © 2006 Pearson Benjamin Cummings. All rights reserved.

1s Orbital

• Sphere around the nucleus

The one tells you that the electron is in the orbital closest to the nucleus

• S tells you about the shape

2s Orbital

• Similar to 1s except the electron is most likely in the region farther from the nucleus

p Orbitals

• At the first energy level there is only the 1s orbital, after the second energy level there are 2p orbitals

• Look like dumbbells

• In the three directions

Remember….

MAX NUMBER OF ELECTRONS

IN AN ENERGY LEVEL

ENERGY LEVEL MAX # OF ELECTRONS

3

4

1

2

5

2

8

18

32

50

Four Energy Sub-Levels

Energy Level Sub-level Type of sub d f s p

Sphere

Dumbbell

4-Lobed

6-8 Lobed

10

14

2

6

# of

Orbitals

1

3

5

7