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The following article will add knowledge about “** Identify which sets of quantum numbers are valid for an electron. Each set is ordered (n,ℓ,m_{ℓ},m_{s})**“. Let’s keep an eye on the content below!

## Question

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

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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})*

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## Answer “Identify which sets of quantum numbers are valid for an electron. Each set is ordered (n,ℓ,*m*_{ℓ},m_{s}).”

_{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:

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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 | m_{l} | -l, … , -1, 0, +1, … , +l |

Spin quantum number | m_{s} | +1/2 or -1/2 |

Aufbau Principle: Order in which orbitals can be filled.

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**(A)**

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**(B)**

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

Beryllium = ^{9}_{4}Be

It has totally four electrons

Ground state electronic configuration of beryllium = 1s^{2} 2s^{2}

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**Answer: **

**Part A)**

For an electron, the sets of quantum numbers can be used. Each set is ordered (n,l,m_{l},m_{s}).

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**Part B)**

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

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## Last words

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