- #1
Dethrone
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How do I sketch the radial distribution of a $3d_{x^2-y^2}$ orbital? :D
Radial distribution of a 3d orbital
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- Thread starter Dethrone
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- 3d Distribution Orbital Radial
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SUMMARY
The discussion focuses on sketching the radial distribution of the $3d_{x^2-y^2}$ orbital. Key resources mentioned include the Wikipedia page on Atomic Orbitals and The Orbitron, which provide various representations and explanations of atomic and molecular orbitals. The $3d_{x^2-y^2}$ orbital has zero radial nodes, as derived from the formula $n-l-1$ where $n=3$ and $l=2$. Additionally, it features two angular nodes that are perpendicular to the axis but are not depicted in the radial distribution graph.
PREREQUISITES- Understanding of quantum numbers (n, l) and their significance in atomic orbitals
- Familiarity with the concept of radial and angular nodes in orbitals
- Basic knowledge of atomic orbital shapes and representations
- Ability to interpret graphical representations of mathematical functions
- Explore the Wikipedia page on Atomic Orbitals for foundational knowledge
- Visit The Orbitron for visual representations of various atomic and molecular orbitals
- Study the mathematical derivation of radial and angular nodes in quantum mechanics
- Learn about the implications of orbital shapes on chemical bonding and molecular geometry
Students of chemistry, physicists, and educators looking to deepen their understanding of atomic orbitals and their properties.
- #2
I like Serena
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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
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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
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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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