Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (n), the angular momentum quantum number (ℓ), the magnetic quantum number (mℓ), and the spin quantum number (ms) have strict rules which govern the possible values. Identify allowable combinations of quantum numbers for an electron. Select all that apply.
n = 3, ℓ= –1, mℓ= 0, ms= –1/2 n = 4, ℓ= 0, mℓ= 1, ms= 1/2 n = 5, ℓ= 5, mℓ= –1, ms= –1/2 n = 5, ℓ= 4, mℓ= 0, ms= 1/2 n = 3, ℓ= 0, mℓ= 0, ms= 1/2 n = 2, ℓ= 0, mℓ= 0, ms= 1 I really just don't understand this at all, anything helps! Thank you.

Question

14-11-2016
Chemistry

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Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (n), the angular momentum quantum number (ℓ), the magnetic quantum number (mℓ), and the spin quantum number (ms) have strict rules which govern the possible values. Identify allowable combinations of quantum numbers for an electron. Select all that apply.
n = 3, ℓ= –1, mℓ= 0, ms= –1/2 n = 4, ℓ= 0, mℓ= 1, ms= 1/2 n = 5, ℓ= 5, mℓ= –1, ms= –1/2 n = 5, ℓ= 4, mℓ= 0, ms= 1/2 n = 3, ℓ= 0, mℓ= 0, ms= 1/2 n = 2, ℓ= 0, mℓ= 0, ms= 1 I really just don't understand this at all, anything helps! Thank you.

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Аноним Аноним · Answer 1 · 2016-11-18T11:03:31+01:00

The first three quantum numbers (n,ℓ,mℓ) are all related to one another
n can be any number grater than zero
ℓ can be 0 to n-1
mℓ can be -ℓ to ℓ
ms can only be 1/2 or -1/2

A set of legitimate quantum numbers satisfies all those criteria

a) doesn t work because mℓ is not between ℓ and -ℓ
b) doesn t work because ℓ is not between n and n-1
c) works
d) doesn t work because ℓ is not between n and n-1
e) works
f) doesn t work because ms is not 1/2 or -1/2

throwdolbeau throwdolbeau · Answer 2 · 2022-04-17T13:26:34+02:00

The first three quantum numbers (n,ℓ,mℓ) are all related to one another as shown in the answer below.

Quantum numbers:

There are total four types of quantum number , principal quantum number, azimuthal quantum number, magnetic quantum number and spin quantum number.

n can be any number greater than zero

ℓ can be 0 to n-1

mℓ can be -ℓ to ℓ

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

A set of legitimate quantum numbers satisfies all those criteria

a) It will not work because mℓ is not between ℓ and -ℓ

b) It will not work because ℓ is not between n and n-1

c) It will work.

d) It will not work because ℓ is not between n and n-1

e) works

f) It will not work because ms is not 1/2 or -1/2

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