Electrons in h/2π orbits do not radiate energy because they are conceptualized as standing waves around the nucleus, as initially described by the Bohr model of the atom. This model suggests that instead of viewing the electron as a particle in motion, it is better understood as a wave that maintains a stable energy state without emitting electromagnetic radiation. Quantum Mechanics later refined these ideas, addressing limitations of the Bohr model. The discussion also touches on the concept of standing waves, which are crucial for understanding quantum mechanics, with examples like the square well problem illustrating these principles. Understanding these concepts is essential for grasping the behavior of electrons in atomic structures.