CHEMISTRY COMMUNITY

This is a conceptual question, but is it possible ever to have a frequency of electrons emitted that is different from the values defined by each energy level (n1, n2, etc.), and if it ism in what situation would that happen?

If you're asking whether or not a quanta can have a value other than a whole number then this is not possible. They can, however, have values that continue to infinity as long as they're whole.