How Does Dipole-Dipole Interaction Affect H₂ Molecule's Ground State Energy?

Click For Summary
SUMMARY

The discussion focuses on the dipole-dipole interaction's effect on the ground state energy of the H₂ molecule, specifically when the protons are separated by a significant distance R along the z-axis. It is established that the hydrogen molecule has a zero dipole moment, leading to the conclusion that there is no perturbation to calculate in this scenario. The interaction between the two hydrogen atoms is examined through perturbation theory, emphasizing the need to understand how one atom influences the other despite the absence of a dipole moment.

PREREQUISITES
  • Understanding of dipole-dipole interactions in quantum mechanics
  • Familiarity with perturbation theory in quantum mechanics
  • Knowledge of molecular orbital theory
  • Basic principles of hydrogen molecule (H₂) structure
NEXT STEPS
  • Study perturbation theory applications in quantum mechanics
  • Research dipole-dipole interactions in diatomic molecules
  • Explore molecular orbital theory for H₂ and other diatomic molecules
  • Investigate the implications of zero dipole moments on molecular interactions
USEFUL FOR

This discussion is beneficial for physics students, quantum mechanics researchers, and anyone studying molecular interactions and energy states in diatomic molecules.

avkr
Messages
10
Reaction score
0

Homework Statement


Consider an ##H_2## molecule where the protons are separated by a wide
distance R and both are located on the z-axis. Ignoring the spin degrees
of freedom and treating the dipole-dipole interaction as a perturbation,
use perturbation theory to estimate an upper limit for the ground state
energy of this molecule.

Homework Equations

The Attempt at a Solution


What I think is that since hydrogen molecule has 0 dipole moment there should be no perturbation to calculate.
 
Physics news on Phys.org
The problem is asking you about the interaction between the two atoms that make up the molecule: how does one atom affect the other through a dipole-dipole interaction?
 

Similar threads

Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
1
Views
2K
Replies
1
Views
1K
  • · Replies 10 ·
Replies
10
Views
8K
  • · Replies 22 ·
Replies
22
Views
11K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
1
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K