Problem: The accompanying drawing shows a contour plot for a dyz orbital. Consider the quantum numbers that could potentially correspond to this orbital.What is the value of the angular momentum quantum number, l?

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FREE Expert Solution

Recall that the quantum numbers that define an electron are:


• the principal quantum number (n) → energy level in orbitals and its value could be any positive integer starting from 1

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/sublevel:

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Problem Details

The accompanying drawing shows a contour plot for a dyz orbital. Consider the quantum numbers that could potentially correspond to this orbital.

The D subscript yx orbital appears as four teardrop shapes oriented diagonally in the xz plane between the x and z axes; the teardrops form an X shape.

What is the value of the angular momentum quantum number, l?

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