Question: The wave functions p x and d xz are linear combinations of the spherical harmonic functions, which are eigenfunctions of the operators H, l 2

The wave functions p_x and d_xz are linear combinations of the spherical harmonic functions, which are eigenfunctions of the operators Ĥ, l̂², and l̂_z for rotation in three dimensions. The combinations have been chosen to yield real functions. Are these functions still eigenfunctions of l̂_z? Answer this question by applying the operator to the functions.

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