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In this video, we will explain what spin quantum numbers are, how they are used in quantum mechanics, and how they are related to the spin of an electron. We will also cover the different values of spin quantum numbers and how they affect the behavior of an electron. Perfect for students and beginners in quantum mechanics. Don't forget to like, comment, and subscribe for more physics and chemistry videos! The Spin Quantum Number ( ms ) describes the angular momentum of an electron. An electron spins around an axis and has both angular momentum and orbital angular momentum. Because angular momentum is a vector, the Spin Quantum Number (s) has both a magnitude (1/2) and direction (+ or -). Each orbital can only hold two electrons. One electron will have a +1/2 spin and the other will have a -1/2 spin. Electrons like to fill orbitals before they start to pair up. Therefore the first electron in an orbital will have a spin of +1/2. After all the orbitals are half filled, the electrons start to pair up. This second electron in the orbital will have a spin of -1/2. If there are two electrons in the same orbital, it will spin in opposite directions. Combinations of Quantum Numbers The three quantum numbers (n, l, and m) that describe an orbital are integers: 0, 1, 2, 3. The principal quantum number (n) cannot be zero. The allowed values of n are therefore 1, 2, 3, 4... The angular quantum number (l) can be any integer between 0 and n - 1. If n = 3, l can be either 0, 1, or 2. The magnetic quantum number (m) can be any integer between -l and +l. If l = 2, m can be -2, -1, 0, +1, or +2. Orbitals that have same value of principal quantum number form a Shell(n). Orbitals within the shells are divided into subshell (l) s:l = 0 p:l = 1 d:l = 2 f:l = 3