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QuantumNumbers - Quantum Numbers So far we are aware of...

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Unformatted text preview: Quantum Numbers So far, we are aware of three integer quantum numbers for atoms: the principal ( n > 0 ), the angular ( 0 ≤ l < n ), and the magnetic (- l ≤ m l ≤ l ). It was subsequently shown that there must be a fourth quantum number bearing a separate resonance of the electron itself when it exists apart from the atom as a particle-like entity. It is called the spin quantum number and given the unfortunate symbol m s . This quantum number is not an integer and can have one of only two values regardless of the situation: + or – . You will be expected to be able to distinguish valid sets of quantum numbers ( n , l , m l , m s ) from invalid ones using the rules above. For instance, the set ( , 2 , -3 , 1 ) actually has four fatal flaws: n cannot be zero; l cannot be greater than n ; the magnitude of m l cannot be greater than l ; and m s must be either or - . Each set of distinct quantum numbers represents a distinct electron in a given atom. Two cannot have the same numbers as their resonances distinct electron in a given atom....
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