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Usually hybrid orbitals beyond sp3 do not appear on the midterm. However, it would be the safest bet to know the hybridizations covered in the course reader, which includes two hybrid orbitals beyond sp3: dsp3 and d2sp3 (page 103).
It's better to understand that usually when the atom, more specifically the central atom, has an expanded octet, we need to utilize a hybridization beyond sp3. For example, XeF4 has an expanded octet and a hybridization sp^3d^2 because it has 6 electron density regions. Molecules such as XeF4 are pretty common based on what we have done in the textbook and in class, so it is best to practice hybridization beyond sp3 for other parts of the course as well.
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