Why Does Energy Behavior Differ in Particle in a Box Model Versus Bohr's Theory?

[Lizwi]

Hi, Please help me I am lost. I particle in a box model , equation for energy show that the energy increases as n increases, but in Borh's theory n^2 is in the denominator showing that as n increase, the energy decrease, I see the condradiction here. Am I right?

 

[ModusPwnd]

Why should we apply Bohr's model to a particle in a box? Regardless, note the negative sign in Bohr's equation. As the principal quantum number "n" increases the energy because less negative. So in both cases its getting higher.

 

[mpv_plate]

The Bohr energy is increasing even with n² in denominator, because there is a negative sign. The energy is getting closer to zero from below - thus it is increasing.