Exponental Tunnelling Factor (Electron Microscope)

Click For Summary
SUMMARY

The exponential tunnelling factor in electron microscopy is defined as being proportional to the square root of the mass of the particle involved. A lower mass results in a lower exponential decay of the wavefunction, which is mathematically represented as P being proportional to exp(-α * a), where α represents a constant related to the tunnelling process and a is the distance the particle tunnels. Understanding this relationship is crucial for interpreting the behavior of particles in electron microscopy.

PREREQUISITES
  • Basic understanding of quantum mechanics
  • Familiarity with wavefunction concepts
  • Knowledge of electron microscopy principles
  • Mathematical proficiency in exponential functions
NEXT STEPS
  • Research the mathematical derivation of the exponential tunnelling factor
  • Study the role of mass in quantum tunnelling phenomena
  • Explore the applications of electron microscopy in material science
  • Learn about wavefunction decay and its implications in quantum mechanics
USEFUL FOR

Physicists, materials scientists, and students studying quantum mechanics or electron microscopy will benefit from this discussion, particularly those interested in the mathematical aspects of tunnelling phenomena.

ZedCar
Messages
353
Reaction score
1
I'm reading a little bit about electron microscopes.

It states, "the exponential tunnelling factor is proportional to the square root of the mass. So, the lower mass means lower exponential decay of the wavefunction".

Would anyone be able to let me know what this exponential tunnelling factor is?

I presume it looks something like exp() proportional to (mass)^0.5

Thanks you!
 
Physics news on Phys.org
Actually, does it look something like:

P is proportional to exp(-alpha x a)

If so, what does alpha and a represent?
 

Similar threads

Undergrad Is the Measurement Apparatus made up partly of electrons? Perhaps not.
  • · Replies 36 ·
2
Replies
36
Views
3K
Graduate Why Can Electrons Tunnel Through Barriers in Quantum Mechanics?
  • · Replies 4 ·
Replies
4
Views
6K
Graduate What is the physics behind quantum tunneling
  • · Replies 21 ·
Replies
21
Views
5K
Undergrad Trying to understand why electrons fill orbitals the way they do
  • · Replies 10 ·
Replies
10
Views
3K
Undergrad Physical interpretation of phase in solutions to Schrodinger's Eqn?
  • · Replies 12 ·
Replies
12
Views
5K
Undergrad Change in electron energy level and photon emission....
  • · Replies 7 ·
Replies
7
Views
3K
Graduate In light of new evidence, what might be behind the Casimir Effect?
  • · Replies 46 ·
2
Replies
46
Views
6K
Undergrad How can the e- escape by overcome the suck force in β- decay
  • · Replies 4 ·
Replies
4
Views
1K
Graduate Many Worlds and the Measurement of an Electron
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Landau's Maximum Mass Limit Derivation in Shapiro & Teukolsky (1983)
  • · Replies 23 ·
Replies
23
Views
3K