The discussion clarifies the apparent contradiction between the energy behavior in the Particle in a Box model and Bohr's Theory. In the Particle in a Box model, energy increases with the principal quantum number "n," while Bohr's Theory shows energy decreasing due to the n² term in the denominator. However, the negative sign in Bohr's equation indicates that as "n" increases, the energy becomes less negative, effectively increasing as it approaches zero. Thus, both models demonstrate an increase in energy with increasing "n," albeit through different mathematical representations.
PREREQUISITESStudents of quantum mechanics, physics educators, and anyone interested in the foundational concepts of atomic theory and energy levels in quantum systems.