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14 Αυγ 2024 · A total of four quantum numbers are used to describe completely the movement and trajectories of each electron within an atom. The combination of all quantum numbers of all electrons in an atom is described by a wave function that complies with the Schrödinger equation.
There are four quantum numbers: n, ℓ, m ℓ, and m s. Each one is a particular factor in an equation describing a property of the electron. At this introductory level, the equations are not needed. The value of each quantum number is assigned to each electron in an atom by a "building up" process.
The quantum numbers are parameters that describe the distribution of electrons in the atom, and therefore its fundamental nature. They are: 1. PRINCIPAL QUANTUM NUMBER (n) - Represents the main energy level, or shell, occupied by an electron. It is always a positive integer, that is n = 1, 2, 3 ... 2.
The principal quantum number defines the general value of the electronic energy. The angular momentum quantum number determines the shape of the orbital. And the magnetic quantum number specifies orientation of the orbital in space, as can be seen in Figure \(\PageIndex{3}\).
Quantum numbers can be used to describe the quantum state of an electron. There are four quantum numbers for atoms: n = 1,2,3,... - principal quantum number; describes the energy level. l = 0,1,2,...,n − 1 - angular momentum quantum number; describes the shape of the orbital. 0 ↔ s,1 ↔ p,2 ↔ d,3 ↔ f,..., etc.
EVERY electron in an atom has a unique set of quantum numbers. Lastly, I'm going to let the Internet discuss what these numbers mean on a physical basis. I will just describe their existence and the rules for how to determine them in this tutorial.
Example: What is the electronic configuration of carbon? Write out the quantum numbers for each electron. Carbon has six valence electrons. We’ll start filling up the quantum numbers by following the rules above. Starting with n = 1, the only possible value of l is l = 0, since 0 ≤ l ≤ n 1. When l = 0, m must also be 0.