Which set of quantum numbers callinot specify an orbital?...

Which set of quantum numbers callinot specify an orbital? MISSED THIST Read Section 8.5 , Watch KCV $8.54,$ WE 8.5
a. $n-2,1-1, m_{i}--1$
b. $n-3,1-2, m_{1}-0$
c. $n-3, l-3, m-2$
d. $n-4, l-3, m_{1}-0$

Key Concepts

Orbital Specification

An orbital in an atom is uniquely defined by a valid combination of quantum numbers (n, l, and m). The set must obey the restrictions imposed by the values of n, l, and m. For example, having an l value equal to or exceeding n, or an m value outside the range of -l to +l, means that the set of numbers does not correspond to any real orbital.

Magnetic Quantum Number

Denoted by m (or sometimes m_l), the magnetic quantum number specifies the orientation of the orbital in space relative to an external magnetic field. It takes on integer values from -l to +l, including zero. This quantum number further refines the description of an electron’s state within a particular orbital type.

Angular Momentum Quantum Number

Represented by l, the angular momentum quantum number defines the shape of the orbital. Its allowed values range from 0 to (n-1), meaning that for any given principal quantum number, the integer l must be smaller than n. This constraint is essential in determining whether a specific combination of quantum numbers represents a valid orbital.

Principal Quantum Number

This quantum number, denoted by n, determines the overall energy and size of the electron’s orbital in an atom. It is always a positive integer (n = 1, 2, 3, ...), and its value restricts the possible values of other quantum numbers, playing a central role in defining the electron’s state.

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