Problem: How many orbitals in an atom can have the designation 5p, 3dz 2, 4d, n = 5, n = 4?

FREE Expert Solution
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FREE Expert Solution

principal quantum number (n)  energy level in orbitals and its value could be any positive integer starting from 1 to infinity.
angular momentum quantum number (ℓ) → (l) has to be at least 1 less than n, range of values from 0 up to (n-1)

▪ Each ℓ value corresponds to a subshell:

= 0 → s subshell
= 1 → p subshell
= 2 → d subshell
= 3 → f subshell

• magnetic quantum number (m) → range of values from - to +

▪ The m values (for each ℓ) represent an orbital for the subshell:

s subshell→ 1 orbital
p subshell→ 3 orbitals
d subshell → 5 orbitals
f subshell → 7 orbitals

For 5p:

p subshell→ 3 orbitals

There are 3 orbitals in an atom that has a designation of 5p.

For 3dz 2:

d subshell → 5 orbitals

5 orbitals → dxy, dxz, dyz. dz2, dx2-y2

There's only 1 orbital in an atom that has a designation of 3dz2.

For 4d:

86% (257 ratings)
Problem Details

How many orbitals in an atom can have the designation 5p, 3dz 2, 4d, n = 5, n = 4?

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Our tutors have indicated that to solve this problem you will need to apply the Quantum Numbers: Magnetic Quantum Number concept. You can view video lessons to learn Quantum Numbers: Magnetic Quantum Number Or if you need more Quantum Numbers: Magnetic Quantum Number practice, you can also practice Quantum Numbers: Magnetic Quantum Number practice problems .

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