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Question

The quantum-mechanical treatment of the hydrogen atom gives an expression for the wave function ψ, , of the 1s orbital:where ris the distance from the nucleus and a₀ is 52.92 pm. The electron probability density is the probability of finding the elec-tron in a tiny volume at distance rfrom the nucleus and is pro-portional to ψ² . The radial probability distribution is the total probability of finding the electron at all points at distance rfromthe nucleus and is proportional to 4πr² ψ² . Calculate the values(to three significant figures) of ψ, ψ² , and 4πr2² ψ² to fill in the fol-lowing table, and sketch plots of these quantities versus r.

1 1 3/2 -rlao e
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Transcribed Image Text:1 1 3/2 -rlao e
r (pm) v (pm-3/3) ? (pm-3) 4aP? (pm¬1) 50 100 200
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Transcribed Image Text:r (pm) v (pm-3/3) ? (pm-3) 4aP? (pm¬1) 50 100 200
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