I have posted here before, and this time I have greatly improved the quality of the graphs. Dirac equation is relativistic (to show which, I use Au for its large Z), and is more true to nature. The shells are equal-probability surfaces, and arrows indicates prob. flow, which is an addition in Dirac’s model thanks to vector nature of the wave function. You can find interesting differences between Dirac’s and Schrödinger’s solution.
This is super cool, inorganic chem was a long long time ago, but I do remember my prof talking about having to deal with relativistic effects for models of Au and larger.
Question: Are these all at the same scale? And if not would you be able to show even some of them at the same scale.
![[OC] Hydrogen-like orbitals, Dirac solution - Improved quality](https://www.europesays.com/wp-content/uploads/2025/03/84x5v6i4r4pe1-1920x1024.png)
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Source of equation: https://en.m.wikipedia.org/wiki/Hydrogen-like_atom.
Visualization using: Mathematica 13.2
I have posted here before, and this time I have greatly improved the quality of the graphs. Dirac equation is relativistic (to show which, I use Au for its large Z), and is more true to nature. The shells are equal-probability surfaces, and arrows indicates prob. flow, which is an addition in Dirac’s model thanks to vector nature of the wave function. You can find interesting differences between Dirac’s and Schrödinger’s solution.
This is super cool, inorganic chem was a long long time ago, but I do remember my prof talking about having to deal with relativistic effects for models of Au and larger.
Question: Are these all at the same scale? And if not would you be able to show even some of them at the same scale.
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