stem/Quantum/Wave Function.md
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STEM/AI/Literature.md
STEM/AI/Neural Networks/MLP.md
STEM/AI/Properties.md
STEM/Quantum/Orbitals.md
STEM/Quantum/Schrödinger.md
STEM/Quantum/Wave Function.md
STEM/Signal Proc/Convolution.md
STEM/Signal Proc/Image/Image Processing.md
STEM/img/hydrogen-electron-density.png
STEM/img/hydrogen-wave-function.png
STEM/img/orbitals-radius.png
STEM/img/radial-equations.png
STEM/img/radius-electron-density-wf.png
STEM/img/wave-function-nodes.png
STEM/img/wave-function-polar-segment.png
STEM/img/wave-function-polar.png
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558 B

\psi(r,\theta,\phi)=R(r)\cdot Y_{ml}(\theta, \phi)

Wave functions are products of Radial Function

  • $R_{n,l}(r)$ Spherical Harmonic
  • Y_{ml}(\theta, \phi)

Forms Orbitals

Absolute value of wave function squared gives probability density of finding electron inside differential volume dV centred on r, \theta, \phi

|\psi(r,\theta,\phi)|^2

!wave-function-polar.png

!hydrogen-wave-function.png !wave-function-polar-segment.png !wave-function-nodes.png

!hydrogen-electron-density.png

!radius-electron-density-wf.png