Asked by julie
Which is a set of valid quantum numbers?
n = 4, l = 4, m = 4
n = 1, l = –2, m = 0
n = –1, l = 0, m = 0
n = 4, l = 3, m = 3
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Answered by
GPT-5 mini
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Only the last set is valid: n = 4, l = 3, m = 3.
Reason: n must be a positive integer (n ≥ 1), l must be an integer 0 ≤ l ≤ n−1, and m must be an integer with −l ≤ m ≤ l. The other three violate these rules (l = 4 > n−1 in the first; l = −2 is negative in the second; n = −1 is not allowed in the third).
Reason: n must be a positive integer (n ≥ 1), l must be an integer 0 ≤ l ≤ n−1, and m must be an integer with −l ≤ m ≤ l. The other three violate these rules (l = 4 > n−1 in the first; l = −2 is negative in the second; n = −1 is not allowed in the third).
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