Higher Bound State: Definition & Meaning

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A higher binding energy indicates a more stable state with lower potential energy, meaning it is in a lower bound state. For example, a hydrogen atom's electron in the ground state has high binding energy and low potential energy, making it stable. Conversely, an electron in a higher energy level, such as the n=3 shell, is less stable and requires less energy to ionize. Therefore, a "higher bound state" can be interpreted as one with higher energy and lower binding energy. Understanding these concepts is crucial for grasping atomic stability and energy levels.
njl86
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"higher" bound state

just a quick question on terminology..

if something has a higher binding energy, can it be said to be in a higher bound state?

thanks
 
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I think the convention is the opposite. The higher the binding energy, the more stable the state, the lower the potential energy of that state. Thus, it is in a "lower bound state." Example: imagine a hydrogen atom with an electron in the ground state. Now, it is at low potential energy. Thus, it is very stable and it is at higher binding energy. It would take more energy to fully ionize this atom than if the electron were initially at n=3 shell, for example. (Most of the work has been done for you when n=3, and you only need to add a little more energy to ionize the atom because the electron is already at higher potential energy!)
 


I would also interpret a "higher bound state" as a bound state with higher energy, i.e. lower binding energy.
 
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