Problem: The contour representation of one of the orbitals for the n = 3 shell of a hydrogen atom is shown in the figure below.What is the quantum number ell for this orbital?        

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We are asked to identify the quantum number for this orbital


Recall that the quantum numbers that define an electron are:

• Principal Quantum Number (n): deals with the size and energy of the atomic orbital. The possible values for n are 1 to ∞.

• Angular Momentum Quantum Number (l): deals with the shape of the atomic orbital. The possible values for l are 0 to n – 1.

• Magnetic Quantum Number (ml): deals with the orientation of the atomic orbital in 3D space. The possible values for ml are the range of –l to +l.

• Spin Quantum Number (ms): deals with the spin of the electron. The possible values for ms are either –1/2 (spin down) or +1/2 (spin up).



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Problem Details

The contour representation of one of the orbitals for the n = 3 shell of a hydrogen atom is shown in the figure below.

A shape representation shows two diagonal teardrop shapes centered along the diagonal y-axis on either side of the x, y, z origin, with the tapered ends near the origin.

What is the quantum number for this orbital?        

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

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Based on our data, we think this problem is relevant for Professor Meier's class at UNG.