- #1
Dethrone
- 716
- 0
How do I sketch the radial distribution of a $3d_{x^2-y^2}$ orbital? :D
Radial distribution of a 3d orbital
- Context: MHB
- Thread starter Dethrone
- Start date
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- Tags
- 3d Distribution Orbital Radial
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Discussion Overview
The discussion revolves around how to sketch the radial distribution of a $3d_{x^2-y^2}$ orbital, focusing on representations and characteristics of this specific atomic orbital.
Discussion Character
- Exploratory, Technical explanation, Conceptual clarification
Main Points Raised
- One participant asks how to sketch the radial distribution of a $3d_{x^2-y^2}$ orbital.
- Another participant suggests checking Wikipedia for various representations of the $3d_{x^2-y^2}$ orbital.
- A different participant recommends The Orbitron as a resource for images and explanations of atomic and molecular orbitals.
- A participant shares an image they found, claiming it represents the radial distribution of the $3d$ orbital, and notes that this orbital has $0$ radial nodes based on the formula $n-l-1$.
- This participant also mentions the presence of two angular nodes that do not need to be reflected in the graph.
Areas of Agreement / Disagreement
Participants provide resources and insights, but there is no consensus on a specific method for sketching the radial distribution, and the discussion remains open-ended.
Contextual Notes
The discussion includes assumptions about the definitions of radial and angular nodes, and the relevance of the provided resources may depend on individual interpretations of orbital representations.
- #2
I like Serena
Science Advisor
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MHB
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Rido12 said:
Hey Rido!
Check out for instance Atomic orbitals on wiki?
It has some nice and different types of representations for the $3d_{x^2-y^2}$ orbital. (Mmm)
- #3
jacobi1
- 47
- 0
Also, try The Orbitron: a gallery of atomic orbitals and molecular orbitals.
It has many different images of all different kinds of orbitals and their equations, but more importantly, it has explanations of how the shapes and equations arise.
It has many different images of all different kinds of orbitals and their equations, but more importantly, it has explanations of how the shapes and equations arise.
- #4
Dethrone
- 716
- 0
Thanks ILS and jacobi! (Cool)
I was able to find this image, which I'm pretty sure is the radial distribution of the 3D orbital.
View attachment 3854
In general, an orbital has $n-l-1$ radial nodes, and in this case, $n=3$, $l=2$, so there are $0$ radial nodes. This agrees with the image because there are no roots on the graph. There are however, two angular nodes / nodal planes that are perpendicular to the axis, but does not need to be reflected in the graph.
I was able to find this image, which I'm pretty sure is the radial distribution of the 3D orbital.
View attachment 3854
In general, an orbital has $n-l-1$ radial nodes, and in this case, $n=3$, $l=2$, so there are $0$ radial nodes. This agrees with the image because there are no roots on the graph. There are however, two angular nodes / nodal planes that are perpendicular to the axis, but does not need to be reflected in the graph.
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