How does the probability density

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Presentation transcript:

How does the probability density look like at the nucleus? (A) There is a maximum at the nucleus for s-electrons, but it is zero for ℓ > 0 electrons with ℓ > 0 (p,d,f, etc.) (B) There is a maximum at the nucleus for all orbitals (C) The probability density is zero at the nucleus.

How does the probability density look like at the nucleus? (A) There is a maximum at the nucleus for s-electrons, but it is zero for ℓ > 0 electrons with ℓ > 0 (p,d,f, etc.) (B) There is a maximum at the nucleus for all orbitals (C) The probability density is zero at the nucleus. ... because of the factor r2 in the above expression (r = 0 at the nucleus). This makes sense, because the Coulomb interaction energy of the electron and the nucleus would be infinitely large, which would be unphysical.

Consider the orbitals and radial functions shown below. From the shape of the orbitals and the radial functions, try to develop an educated guess about the number of nodes in a H wave function. 2s 2pz n-1 radial, ℓ-1 angular (B) n-ℓ radial, ℓ angular (C) n-ℓ-1 radial, ℓ angular (D) n-1 radial, ℓ angular

Consider the orbitals and radial functions shown below. From the shape of the orbitals and the radial functions, try to develop an educated guess about the number of nodes in a H wave function. 2s 2pz n-1 radial, ℓ-1 angular (B) n-ℓ radial, ℓ angular (C) n-ℓ-1 radial, ℓ angular (D) n-1 radial, ℓ angular