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

🤓 Based on our data, we think this question is relevant for Professor Hatab's class at UT.

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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:

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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 data indicates that this problem or a close variation was asked in Chemistry: An Atoms First Approach - Zumdahl 2nd Edition. You can also practice Chemistry: An Atoms First Approach - Zumdahl 2nd Edition practice problems.