It struck me that in college textbooks, there are always derivations or explanations of equations of conversation of energy for the photoelectric effect, which contains work function, etc. However, there is no explanation for the conservation of momentum for the photoelectric effect.

I mean, considering the Compton Effect, while there are always explanations of both the conservation of energy and the conservation of momentum for the Compton Effect, there are none for the Photoelectric effect or only for the conservation of energy but not for the conservation of momentum.

Why does this situation occur? Is there a link between them that I seem to miss?

Is there a link between them that once you explain conservation rules for Compton there is no need for an explanation for the photoelectric effect?

What is the deal here?