Which representation conveys that the probability of finding an electron at the nucleus is zero?

• A. A maximum in the probability density at the nucleus for a 1s orbital
• B. A region of high electron density at the nucleus in a d orbital
• C. An angular node passing through the nucleus in a p orbital
• D. A radial node at the nucleus in the wavefunction of a 2s orbital

Answer: (D)

Verified step by step guidance

1. Understand that the probability of finding an electron at a specific point is related to the square of the wavefunction, called the probability density, \(|\psi|^2\).
2. Recall that a node is a point or region where the wavefunction \(\psi\) equals zero, which means the probability density \(|\psi|^2\) is also zero at that point.
3. Differentiate between types of nodes: an angular node depends on angles and often passes through the nucleus for p orbitals, while a radial node depends on distance from the nucleus and can occur at specific radii.
4. Recognize that a radial node at the nucleus means the wavefunction is zero exactly at the nucleus, so the probability density there is zero, indicating zero probability of finding the electron at the nucleus.
5. Conclude that the representation showing a radial node at the nucleus in the 2s orbital wavefunction correctly conveys zero probability of finding an electron at the nucleus.