It's now years since I studied this, if anyone could help me remember.(adsbygoogle = window.adsbygoogle || []).push({});

If I look at a hydrogen atom and it's shells. In the ground state there's 1s, the wave function is then:

[itex]\Psi_{nlm}(r,\theta,\phi) = Y_{lm}(\theta,\phi)R_{nl}(r) = Y_{00}R_{10}[/itex]

[itex]Y_{00} = \frac{1}{\sqrt{4\pi}}[/itex]

[itex]R_{10} = 2 \left(\frac{Z}{a_0}\right)^{3/2} e^{-\frac{\rho}{2}}[/itex]

With hydrogen's single proton and n = 1 etc.

[itex]\Psi_{100} = \frac{1}{\sqrt{\pi}} \left(\frac{1}{a_0}\right)^{3/2} e^{-\frac{r}{a_0}}[/itex] - I just looked up this in Physics Handbook. Now I can't remember how to interpret this.

My stumbling interpretations

I the Bohr model there's fixed energy levels, but this calculation shows a high likeliness of the atom being in the centre. Is this right? Further, is the model predicting a likely radial position for a electron sitting in the 1s energy state?

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# Interpetation of wavefunction - atom

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