Which of the following statement is false? (1) The orbit...

Which of the following statement is false? (1) The orbit with more number of nodal planes will be of more energy. (2) The orbital with two angular nodes (nodal planes) is f-orbital. (3) The zero probability of finding the electron in $\mathrm{p}_{x}-$ orbital is in $y-z$ plane. (4) The orbital which do not has angular nodes is s-orbital.

Which of the following statement is false?
(1) The orbit with more number of nodal planes will be of more energy.
(2) The orbital with two angular nodes (nodal planes) is f-orbital.
(3) The zero probability of finding the electron in $\mathrm{p}_{x}-$ orbital is in $y-z$ plane.
(4) The orbital which do not has angular nodes is s-orbital.

Key Concepts

Atomic Orbitals

Atomic orbitals are mathematical functions that describe the probability of finding an electron in a particular region around the nucleus. They are characterized by quantum numbers and come in various shapes (such as spherical for s-orbitals, dumbbell-shaped for p-orbitals, and more complex forms for f-orbitals), each with distinctive nodal patterns that influence their chemical and energetic properties.

Angular Nodes

Angular nodes are regions (often planes or cones) where the angular part of the orbital’s wavefunction is zero, leading to a zero probability of finding an electron in those zones. The number of angular nodes is determined by the angular momentum quantum number (l) and directly affects the shape and energy distribution of the orbital.

Radial Nodes

Radial nodes are spherical surfaces where the radial part of the wavefunction becomes zero, resulting in zero electron probability at that specific radius from the nucleus. Their number is determined by both the principal quantum number (n) and the angular momentum quantum number (l), contributing to the total nodal structure of an orbital.

Relationship Between Nodes and Energy

The total number of nodes in an orbital, which includes both angular and radial nodes, is linked to its energy level. Generally, a higher number of nodes indicates a higher energy state, as each node represents a region where the probability density is zero, reflecting the underlying quantum mechanical properties of the electron.

Electron Probability Distribution

The electron probability distribution is a measure of the likelihood of finding an electron in various regions around the nucleus, as determined by the square of the wavefunction. This distribution is significantly shaped by nodal structures, where regions of zero probability (nodes) influence the overall spatial and energetic characteristics of an orbital.

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