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Question

Part A: Identify which sets of quantum numbers are valid for an electron. Each set is ordered (n,ℓ,m_ℓ,m_s)“.

Part B: Identify the sets of quantum numbers that describle all the electrons in the ground state of a neutral beryllium atom. Be Each set is odered (n,ℓ,m_ℓ,m_s)

Answer “Identify which sets of quantum numbers are valid for an electron. Each set is ordered (n,ℓ,m_ℓ,m_s).”

Concepts and reason

Four quantum numbers: (n, l,m_ℓ,m_s)

Four quantum numbers describe the most likely position of an electron in space.

The Pauli Exclusion Principle:

There are four different sets of quantum numbers that can be assigned to electrons.

Hund’s Rule:

Electrons fill each orbital first in a subshell with one electron before entering half-filled orbitals.

Aufbau Principle:

The orbital with the lowest energy will be occupied by electrons first. This is used for determining the electronic configuration of an electron or atom.

Fundamentals

Four quantum numbers and their symbols:

Quantum Number	Symbol	Possible values
Principal quantum number	n	n=1, 2, 3, …
Angular momentum quantum number	l	l=0, 1, 2, … , (n-l)
Magnetic quantum number	ml	-l, … , -1, 0, +1, … , +l
Spin quantum number	ms	+1/2 or -1/2

Aufbau Principle: Order in which orbitals can be filled.

(A)

(B)

Symbolic representations of the beryllium element, with its atomic number and mass numbers:

Beryllium =  ⁹₄Be

It has totally four electrons

Ground state electronic configuration of beryllium = 1s² 2s²

Answer:

Part A)

For an electron, the sets of quantum numbers can be used. Each set is ordered (n,l,m_l,m_s).

Part B)

In their respective bins are the sets of quantum numbers that represent all electrons in neutral beryllium’s ground state.

Last words

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