How do you visualise the atomic orbitals?

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Discussion Overview

The discussion revolves around the visualization of atomic orbitals, addressing how to conceptualize their shapes and positions, as well as the implications of the Heisenberg uncertainty principle on predicting electron trajectories.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant expresses confusion about visualizing the positions of orbitals and questions the predictability of electron trajectories due to the Heisenberg uncertainty principle.
  • Another participant clarifies that orbitals represent stationary states and emphasizes that it is not appropriate to discuss electron trajectories within orbitals, but rather the probability of finding an electron at certain positions.
  • A different perspective suggests a hierarchy of models for visualizing orbitals, starting with Bohr's model and progressing to the more complex SPDF configuration, which describes orbitals as regions of probability for finding electrons.
  • This participant also mentions the role of the Schrödinger equation in deriving properties of electrons, while detailing the significance of various quantum numbers in defining energy levels and orbital shapes.
  • Another participant provides a link to a visualization tool that may aid in understanding the 3D models of orbitals and their probability densities.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a single method of visualization or understanding of atomic orbitals, indicating multiple competing views and interpretations of the concepts involved.

Contextual Notes

Some limitations include the reliance on classical models for visualization, the complexity of quantum mechanics, and the potential misunderstandings regarding the nature of electron positions and trajectories.

Nethrz
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I do know the shapes of the individual orbitals but as a whole, I'm confused as to how to visualise their positions...Also how can we predict the trajectory of an electron or can it not be predicted because of Heisenberg's uncertainty principle
 
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Orbitals represent stationary states, i.e., states that do not change with time. You cannot talk about the trajectory of an electron in an orbital, only the probability that it will be found at a certain position around the nucleus.

For the purposes of chemistry, I think it is best to see it as the electron being spread out over the orbital. It is a classical picture that is not completely correct, but useful.
 
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You could imagine orbitals on different levels with increasing complexity and correctness

First would be bohr orbitals, which are the circular orbital energy shells K,L,M,N and so on where 2,8,8,18,32...goes on

Second would be SPDF configuration where orbitals are basically a certain region where probability of finding the electron is.For example the probability of finding a electron in S orbital is maximum at the centre and minimum at the edges .For P orbital a node comes in play where the probability of finding a electron is 0 and it is maximum as we go farther away but not too far away outside the orbital.Similarly for D, F etc. It is given by a probability distribution function which gives us this information

You can view this here at falstad :
https://www.falstad.com/qmmo/

All the other things about the electron are derived from the schrödinger equation except the spin quantum number. Principal quantum number tells you which energy level it lies on i.e n=1,2,3....and so on . Azimuthal quantum number tells you the orbital i.e S,P,D or F and .Magnetic quantum number tells you the subshell i.e the subshell of orbital in different axis like P(x),P(y) and P(z) .Spin quantum number tells you the spin of electron i.e +1/2 or -1/2.
As for the positions of the orbitals they overlap on and into each other creating concentric shapes which hold the electrons(according to spdf model) even if you dont understand this go to the falstad link above to visualise it ,it gives you a 3d model along with probability density
 
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