Lecture 19

Summary

Thomson model
Rutherford model
Bohr model
de Broglie waves

Chapter 5

de Broglie and Bohr, interactive animation

Example #1

de Broglie and Bohr video 8:22 - 12:32

Matter waves

QM hydrogen atom
electron corrals

schematic of scanning tunneling microscope

$comparison of electron and x-ray diffraction$

$Davisson-Germer electron diffraction$

de Broglie waves continued

Example problem 5.6
Example problem 5.12
Bragg's law X ray diffraction 2d sin θ = n λ
Davisson-Germer electron diffraction D sin ϕ = n λ
Example problem 5.3

The QM free particle applet

wave packets and Fourier analysis applet
Schrödinger's wave theory video 12:20 - 14:46
group and phase velocities
dispersion applet
Example problem 5.24
Example problem 5.28

Walker5e EYU 31.4
What is the principal quantum number n for the Bohr orbit depicted below?
de Broglie wave circumscribing Bohr orbit

A. 1
B. 5
C. 6
D. 10
E. 12
Answer

de Broglie wave circumscribing Bohr orbit

C. 6

A careful accounting of the complete wavelengths that span the circumference of the orbit reveals there are six, which corresponds to the value of the principal quantum number.

Picture (1200x765, 101.3Kb)