Electron collision and periodic crystal

  • Thread starter hokhani
  • Start date
439
7
Ashcroft & Mermin, Solid State Physics, page 315:
"According to the Bloch theory, an electron in a perfectly periodic arrays of ions experiences no collision at all".

But how about the electron at the border of Brillouin zone? How does diffraction take place there?
 

UltrafastPED

Science Advisor
Gold Member
1,910
214
Brillouin zones are just a k-space version of the unit cell. Your book is telling you that perfect crystals don't have electron scattering events.

For a nice discussion see: http://www.tf.uni-kiel.de/matwis/amat/semi_en/kap_2/backbone/r2_1_4.html

The conclusion from Ashcroft & Mermin is included. Note that Bragg reflections (diffraction patterns) are a result of interference effects between electron wave functions, not scattering of electrons.
 
439
7
Note that Bragg reflections (diffraction patterns) are a result of interference effects between electron wave functions, not scattering of electrons.
Ok, Thanks. But why do electron wave functions interfere? As far as I know, it is due to scattering.
 

UltrafastPED

Science Advisor
Gold Member
1,910
214
But why do electron wave functions interfere?
The "wave function" is a representation of the probability amplitude wave ... and interference is a fundamental wave property. If they _didn't_ interfere it would mean that there is no wave.
 

Related Threads for: Electron collision and periodic crystal

Replies
8
Views
4K
Replies
2
Views
3K
  • Posted
Replies
5
Views
2K
Replies
8
Views
4K
  • Posted
Replies
11
Views
3K
Replies
3
Views
2K
Replies
3
Views
840

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top