Learning Goal To learn the restrictions on each quantum number What are the poss

Question

Learning Goal To learn the restrictions on each quantum number What are the possible values of m for an electron in a d orbital? Express your answer numerically with sequential values separated by commas Quantum numbers can be thought of as labels for an electron. Every electron in an atom has a unique set of four quantum numbers. Hints The principal quantum number n corresponds to the shell in which the electron is located. Thus n can therefore be any integer. For example, an electron in the 2p subshell has a principal quantum number of n = 2 because 2p is in the second shell Submit My Answers Give Up Incorrect; Try Again; 4 attempts remaining The azimuthal or angular momentum quantum number l corresponds to the subshell in which the electron is located. s subshells are coded as 0, p subshells as 1, d as 2, and fas 3. For example, an electron in the 2p subshell has 1-1. As a rule, I can have integer values ranging from 0 to n -1 Part C Which of the following set of quantum numbers (ordered n, e, mE, ms) are possible for an electron in an atom Check all that apply The magnetic quantum number mg corresponds to the orbital in which the electron is located. Instead of 2p , 2Py, and 2p , the three 2p orbitals can be labeled -1, 0, and 1, but not necessarily respectively. values ranging from -l to + Hints 4,2,1,-1/2 4,3,4, -1/2 -1, 0,0,-1/2 3,2,2,-1/2 As a rule, mg can have integer The spin quantum number ms corresponds to the spin of the electron in the orbital. A value of 1/2 means an "up" spin, whereas-1/2 meansa "down" spin 4,3,-4,-1/2

Explanation / Answer

B)

l value for d orbital is 2

So, ml can be -2,-1,0,1,2

Answer: -2,-1,0,1,2

C)

lets verify for set (n,l,ml,ms) = (4,2,1,-0.5)

This is Acceptable

lets verify for set (n,l,ml,ms) = (4,3,4,-0.5)

Value of l is 3

So, valid values of ml are [-3, -2, -1, 0, 1, 2, 3]

so, ml can't be 4

Hence, this is unacceptable

lets verify for set (n,l,ml,ms) = (-1,0,0,-0.5)

n must be a positive number

n can't be -1

Hence, this is unacceptable

lets verify for set (n,l,ml,ms) = (3,2,2,-0.5)

This is Acceptable

lets verify for set (n,l,ml,ms) = (3,2,1,-1)

ms can be -1/2 or 1/2.

It can’t be -1

Hence, this is unacceptable

lets verify for set (n,l,ml,ms) = (4,3,-4,-0.5)

Value of l is 3

So, valid values of ml are [-3, -2, -1, 0, 1, 2, 3]

so, ml can't be -4

Hence, this is unacceptable

Answer: option 1,4

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