We talked about the photoelectric effect in class today. A follow up conversation outside of class started among a few of us, and I'm having trouble sorting through literature on the subject to come to a clear conclusion. It seems pretty intuitive that if I heat up a piece of metal, all of its constituent particles (including its electrons) ought to be moving around more. In my mind, this leads me to believe that electrons are thus easier to remove. If my reasoning this far is correct, I would then believe that incident radiation of a particular frequency ought to create MORE current as MORE electrons are knocked off the metal. But every Google search I've made to find an explicit relationship between Photoelectric phenomena and temperature, I wind up in thermionic emission which is fascinating but irrelevant to incident radiation, which is really what I'd like to learn more about. Is there some kind of hypothetical experiment I could set up to correlate the two without running too deeply into thermionic emission phenomena? Thoughts? Directions? Set me straight?