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Concept and reason

The concept used is to identify the valid set of quantum numbers for the last electrons added to an atom.

Fundamentals

The four quantum numbers required to describe an atom are principal quantum number, azimuthal quantum number, magnetic quantum number and spin quantum number.

Principal quantum number: It describes the energy level of an electron. It is denoted by n. The value of n ranges from 1 to the level of the electron in the outermost orbit.

Azimuthal quantum number: It describes the sub-shell of an electron. It is denoted by l.

The value of l ranges from 0 to (n-1)
.

Magnetic quantum number: It describes the energy levels of the sub-shell of an electron. It is denoted by .

The value of ranges from to .

Spin quantum number: It describes the spin of an electron. It is denoted by .

The value of can either be or .

According to Pauli’s exclusion principle, no two electrons can have same four quantum numbers.

1.

Consider the set as follows:

500 +%
500 -8

It is a valid set.

Consider the set as follows:

41 -1 +另
41 0 +
41 +1 +岁

It is a valid set.

Consider the set as follows:

32 -1 +8
32 0 +8
32 +1 +8
32 0 +8
32 +2 +8

It is not a valid set. There is a violation of Pauli exclusion principle.

Consider the set as follows:

31 -1 +8
31 0 +%
33 +1 +%

It is not a valid set. There are other violations.

Ans: Part 1

The valid and non valid sets of quantum numbers are as follows:

Other violations
Pauli violations
Valid
5 0 0 + y2
5 0 0 –
3 1
3 1
3 3
-1 + 12
0 + y2
+1 + y2
3 2 -1 + 2
3 2 0 + y2
3 2 +1 +2

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The following sets of quantum numbers, listed in the order  n. l, ml and ms were written for...
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