The correct statement about probability density (except at infinite distance from nucleus) is:

🧠 The Nodal Barrier Probability density ($\psi^2$) represents the likelihood of location. While an electron exists in a cloud, there are specific "fences" (nodes) where this likelihood hits exactly zero.

🗺️ The Orbital Profile

• 1s orbital: Has zero radial nodes ($1-0-1=0$). Apart from infinity, the electron can be found anywhere.
• 2s orbital: Has one radial node ($2-0-1=1$). There is a specific spherical distance where density is exactly zero.
• 3p orbital: Has one radial node ($3-1-1=1$) AND an angular node ($l=1$). It absolutely can and does hit zero. (TRUE)
• 2p orbital: Density can never be negative because it is a squared value ($\psi^2$).

⚡ The "n-1" Rule Any orbital with $n > 1$ or $l > 0$ has regions of zero probability. The only orbital that "fills the space" completely (without internal gaps) is the 1s.

⚠️ Common Traps Density is $|psi|^2$. It can be zero, but it can never be negative.

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