Ligand field theory

d-orbitals and f-orbitals as they fall out of the math of the Schrödinger equation
are not in match with the real situation.
Other methods like

• crystal field theory and
• ligand field theory

are used instead.

How it works

(wiki-TODO: Add a ultra-brief up-to speed explanation of ligand field theory)

Related

• Atomic orbitals
• Fun with spins
• Electronic transitions – Inter system crossing

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• Optical effects – see "photonic steampunk" section
• Color emulation – Passive color gemstone display – Active color gemstone display

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See: Organometallic gemstone-like compound – Tuning gemstone color:

• either ultra precisely with Kaehler brackets
• or with fast programmable active pressure adjusting actuation