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Affected files: Money/Assets/Financial Instruments.md Money/Assets/Security.md Money/Markets/Markets.md Politcs/Now.md STEM/AI/Neural Networks/CNN/Examples.md STEM/AI/Neural Networks/CNN/FCN/FCN.md STEM/AI/Neural Networks/CNN/FCN/FlowNet.md STEM/AI/Neural Networks/CNN/FCN/Highway Networks.md STEM/AI/Neural Networks/CNN/FCN/ResNet.md STEM/AI/Neural Networks/CNN/FCN/Skip Connections.md STEM/AI/Neural Networks/CNN/FCN/Super-Resolution.md STEM/AI/Neural Networks/CNN/GAN/DC-GAN.md STEM/AI/Neural Networks/CNN/GAN/GAN.md STEM/AI/Neural Networks/CNN/GAN/StackGAN.md STEM/AI/Neural Networks/CNN/Inception Layer.md STEM/AI/Neural Networks/CNN/Interpretation.md STEM/AI/Neural Networks/CNN/Max Pooling.md STEM/AI/Neural Networks/CNN/Normalisation.md STEM/AI/Neural Networks/CNN/UpConv.md STEM/AI/Neural Networks/CV/Layer Structure.md STEM/AI/Neural Networks/MLP/MLP.md STEM/AI/Neural Networks/Neural Networks.md STEM/AI/Neural Networks/RNN/LSTM.md STEM/AI/Neural Networks/RNN/RNN.md STEM/AI/Neural Networks/RNN/VQA.md STEM/AI/Neural Networks/SLP/Least Mean Square.md STEM/AI/Neural Networks/SLP/Perceptron Convergence.md STEM/AI/Neural Networks/SLP/SLP.md STEM/AI/Neural Networks/Transformers/LLM.md STEM/AI/Neural Networks/Transformers/Transformers.md STEM/AI/Properties.md STEM/CS/Language Binding.md STEM/Light.md STEM/Maths/Tensor.md STEM/Quantum/Orbitals.md STEM/Quantum/Schrödinger.md STEM/Quantum/Standard Model.md STEM/Quantum/Wave Function.md Tattoo/Music.md Tattoo/Plans.md Tattoo/Sources.md
45 lines
1.0 KiB
Markdown
45 lines
1.0 KiB
Markdown
[Wave Function](Wave%20Function.md)
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## Quantum Numbers
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$$n$$
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Principal quantum number
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- 1, 2, 3...
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- ***Electron shell***, electron energy and size of orbital
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$$l$$
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Orbital Angualar Momentum Number
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- $0-(n-1)$
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- ***Shape*** of the orbital
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- 0 = s
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- 1 = p
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- 2 = d
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$$m$$
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Z-component / Magentic of $l$
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- $-l$ to $+l$
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- ***Orientation*** of orbital
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## Filling
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1. Aufbau
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- Start lowest in energy
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2. Pauli's Exclusion
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- Max two electrons per orbital
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- No two electrons can have same n, l, m, s tuple
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3. Hund's Rule of Maximum Multiplicity
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- Orbitals with same energy filled one at a time
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- Degenerate
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## Radial
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- Z = Atomic number
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- Bohr radius
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- $a_0=\frac \hbar {\alpha mc}$
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- Normalisation
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- $\int_0^\infty r^2R_{nl}^*R_{nl}dr=1$
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