What is the Sign of Binding Energy for a Hydrogen-Like Atom?

AI Thread Summary
The binding energy for a hydrogen-like atom is a point of confusion, with some sources stating it is negative while others indicate it should be considered positive. The binding energy is defined as the energy required to disassemble the atom, which leads to the interpretation that it is negative. However, in discussions, it is clarified that the binding energy is often expressed as a positive value, such as 13.6 eV for hydrogen. This positive expression signifies the energy needed to remove the electron from the atom. Ultimately, the consensus is that binding energy is typically represented as a positive value despite being derived from a negative total energy.
Krushnaraj Pandya
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Homework Statement


Is the binding energy for a hydrogen like atom equal to the total energy (negative) or the negative of the total energy (thus positive)?

2. The attempt at a solution
I found varying answers and definitions, some places said binding energy's the energy required to disassemble the system so it must be negative others said that to indicate that the system is bound it has to be negative. I decided I shouldn't get confused too much and just ask the experts on PF, Thank you :D
 
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Krushnaraj Pandya said:
the energy required to disassemble the system so it must be negative
Did you mean, so it must be positive?
 
haruspex said:
Did you mean, so it must be positive?
yes, sorry- I mistyped
 
Krushnaraj Pandya said:
yes, sorry- I mistyped
so for example is the BE of hydrogen 13.6 eV or -13.6 eV?
 
haruspex said:
Did you mean, so it must be positive?
Since you quoted that specifically, I'll assume BE is positive. Thank you very much for your help :D
 
Krushnaraj Pandya said:
Since you quoted that specifically, I'll assume BE is positive. Thank you very much for your help :D
I was just clarifying your question, but yes, from what I read, it is expressed as positive.
 
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