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Calculating the capacity of electron subshells

# Calculating the capacity of electron subshells - 1 can only...

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Calculating the capacity of electron subshells Problem: A subshell is a group of electronic quantum states in an atom with the same principal quantum number n and angular momentum quantum number l. For example, the 1s subshell is the group of two quantum states with n=1 and l=0 Chemists usually use a number-letter combination to label an electron subshell, like this The number tell you n and the letter tells you l according to this code: s = 0, p = 1, d = 2, f = 3, g = 4… To list all the quantum states in a subshell, you must find all possible combinations of n and l with the allowed values of the other two quantum numbers, the magnetic quantum number m 1 and spin quantum number m s .

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All the quantum states in the 1s subshell have n = 1 and l = 0. When l = 0, then m
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Unformatted text preview: 1 can only be 0. Combined with the two possible values of m s , this gives a total of 2 possible combinations of n, l, m1, and ms: • • For the 5s subshell, we have n = 5 and l = 0. When l = 0, m1 = 0. We have 2 combinations of ms: • All the quantum states in the 2p subshell have n = 2 and l = 1. When l = 1. The allowed values of m1 are -1, 0, and 1. ms is either 1/2 or -1/2. so we have 6 possible combinations: • You need one final piece of information to fill in the table: because of the Pauli principle, each electron in an atom must be in a different quantum state. Therefore, the maximum number of electrons that can be in a subshell is just equal to the number of states in the subshell. Here's the completed table:...
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Calculating the capacity of electron subshells - 1 can only...

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