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Radial Distribution Functions for the Hydrogen Atom

Radial Distribution Functions for the Hydrogen Atom

Radial Distribution Functions for the Hydrogen Atom

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2<br />

0.25<br />

0.20<br />

2p<br />

0.15<br />

RDF<br />

0.10<br />

3p<br />

0.05<br />

0.00<br />

0 5 10 15 20 25<br />

r (a.u.)<br />

Figure 2. RDF plots <strong>for</strong> 2p and 3p orbitals of <strong>the</strong> H atom.<br />

In contrast, if <strong>the</strong> principal quantum number is held fixed and <strong>the</strong> angular momentum type of <strong>the</strong> orbital is varied, we<br />

see from <strong>the</strong> example in Figure 3 that <strong>the</strong> position of <strong>the</strong> primary maximum in <strong>the</strong> probability distribution decreases<br />

as <strong>the</strong> angular momentum increases.<br />

0.15<br />

0.10<br />

3d<br />

3p<br />

3s<br />

RDF<br />

0.05<br />

0.00<br />

0 5 10 15 20 25<br />

r (a.u.)<br />

Figure 3. RDF plots <strong>for</strong> 3s, 3p, and 3d orbitals of <strong>the</strong> H atom.

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