Orthogonality of 1s and 2s Orbitals of H

  • Thread starter Thread starter kungpaotuba
  • Start date Start date
  • Tags Tags
    Orthogonality
Click For Summary
SUMMARY

The discussion focuses on demonstrating the orthogonality of the 1s and 2s orbitals of hydrogen (H). Participants emphasize the need to integrate the respective wavefunctions over appropriate limits to establish orthogonality. The quantum numbers associated with these orbitals are crucial for determining the correct integration range. The conversation highlights the importance of showing work in homework queries to facilitate effective assistance.

PREREQUISITES
  • Understanding of quantum mechanics, specifically wavefunctions.
  • Familiarity with hydrogen atom orbital functions.
  • Knowledge of integration techniques in calculus.
  • Concept of quantum numbers and their significance in orbital shapes.
NEXT STEPS
  • Research the mathematical representation of hydrogen atom wavefunctions.
  • Learn about the integration of wavefunctions in quantum mechanics.
  • Study the significance of quantum numbers in determining orbital properties.
  • Explore examples of orthogonality in quantum mechanical systems.
USEFUL FOR

Students studying quantum mechanics, particularly those focusing on atomic structure and wavefunction properties, as well as educators seeking to clarify concepts of orbital orthogonality.

kungpaotuba
Messages
2
Reaction score
0

Homework Statement



show that 1s and 2s orbitals of H are orthogonal


Homework Equations



orbital functions n=1 and n=2


The Attempt at a Solution



Im asking what values(range) should i integrate the two equations into.

thank you
 
Physics news on Phys.org
kungpaotuba said:
Im asking what values(range) should i integrate the two equations into.

Hi and welcome to the forums kungpaotuba :smile:

What do you think you should integrate over? Do you have any thoughts/ideas on this? The guidelines of this forum state that you need to show some work before we can help.
 
kungpaotuba said:

Homework Statement



show that 1s and 2s orbitals of H are orthogonal


Homework Equations



orbital functions n=1 and n=2

HINT: What quantum numbers do the wavefunctions have ?
 
Thank you for your Hint
 

Similar threads

Is the He2+ Ion Bound Using the Simple MO Method?
  • · Replies 1 ·
Replies
1
Views
2K
Why Does Diamond/Silicon Have 8 Bands in Its Band Structure?
  • · Replies 3 ·
Replies
3
Views
3K
Associated vs. Non-associated Laguerre Polynomials
  • · Replies 1 ·
Replies
1
Views
2K
Orthogonality on Inner Product (Quantum Mechanics also)
  • · Replies 3 ·
Replies
3
Views
2K
What are S, L and J for the following states....?
  • · Replies 2 ·
Replies
2
Views
5K
Is this transition allowed or forbidden?
  • · Replies 5 ·
Replies
5
Views
2K
Calculating J,L,S: Natrium 1s^2 2s^2 2p^6 3s^1
  • · Replies 7 ·
Replies
7
Views
2K
Two particle wavefunctions of helium
  • · Replies 7 ·
Replies
7
Views
2K
Angular Momentum squared operator (L^2) eigenvalues?
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad Question about excited Helium states
  • · Replies 3 ·
Replies
3
Views
2K