Each of the following sets of quantum numbers is supposed to specify an orbital. Choose the...

Each of the following sets of quantum numbers is supposed to specify an orbital. Choose the one set of quantum numbers that does not contain an error.

n = 4, l = 3, ml =-4

n = 2, l = 2, ml =0

n = 3, l = 2, ml =-2

n = 2, l = 2, ml =+1

Solutions

Expert Solution

In the given set of quantum numbers n = 3, l = 2, ml =-2 does not contain an error

The Principal quantum number (n) describes the size of the orbital.

The angular quantum number (l) describes the shape of the orbital. l = 0 for s-orbital, l = 1 for p-orbital, l = 2 for d-orbital, l = 3 for f-orbital and so on. Angular quantum number (l) value should lie between 0 and n-1 values (where n= principal quantum number).

The magnetic quantum number (ml) describes the orientation in space of a particular orbital. ml can be any integer between -l and +l .

In the given examples

n = 4, l = 3, ml =-4; in this ml contain a error, as l value is 3, ml value should be in between +3 to -3

n = 2, l = 2, ml =0; in this l value contain a error, as n value is 2, l value should be 0 or 1.

n = 2, l = 2, ml =+1; in this l value contain a error, as n value is 2, l value should be 0 or 1.

only n = 3, l = 2, ml =-2 satisfy all the rules. Hence it is the answer

queen_honey_blossom answered 1 year ago

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