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

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SUMMARY

The binding energy (BE) for a hydrogen-like atom is expressed as a positive value, despite being derived from a negative total energy. In the discussion, it was clarified that the binding energy represents the energy required to disassemble the atom, which is why it is often stated as negative in context. Specifically, the binding energy of hydrogen is 13.6 eV, indicating that while the total energy is negative, the binding energy itself is conventionally presented as a positive value.

PREREQUISITES
  • Understanding of atomic structure and energy levels
  • Familiarity with concepts of binding energy in quantum mechanics
  • Knowledge of energy units, specifically electronvolts (eV)
  • Basic principles of hydrogen-like atoms
NEXT STEPS
  • Research the concept of binding energy in quantum mechanics
  • Study the energy levels of hydrogen-like atoms
  • Learn about the implications of negative total energy in atomic systems
  • Explore the differences between binding energy and total energy in various atomic models
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Students of physics, particularly those studying quantum mechanics, educators explaining atomic structure, and anyone seeking to understand the energy dynamics of hydrogen-like atoms.

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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Thank you :D
 

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