26 lines
648 B
Markdown
26 lines
648 B
Markdown
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$$\psi(r,\theta,\phi)=R(r)\cdot Y_{ml}(\theta, \phi)$$
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Wave functions are products of
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Radial Function
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- $R_{n,l}(r)$
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Spherical Harmonic
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- $Y_{ml}(\theta, \phi)$
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Absolute value of wave function squared gives probability density of finding electron inside differential volume $dV$ centred on $r, \theta, \phi$
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$$|\psi(r,\theta,\phi)|^2$$
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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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