Understanding Binding Energy: The Hidden Mass Conversion Process

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Discussion Overview

The discussion revolves around the concept of binding energy in the context of the hydrogen atom, specifically addressing the mass difference between the hydrogen atom and the sum of its constituent particles (a proton and an electron). Participants explore the origins of this mass difference and its relation to binding energy, examining theoretical implications and interpretations.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant claims that the mass of the hydrogen atom is smaller than the sum of the masses of a proton and an electron, attributing the mass difference to binding energy.
  • Another participant argues that mass was not converted into energy, presenting a formula that includes binding energy as a separate term.
  • A participant seeks clarification on whether the binding energy originates from the proton or the electron.
  • Another response suggests that the binding energy does not come from either particle individually, but rather from the interaction between them.
  • One participant posits that the binding energy results from the mutual attraction of the electron and proton, leading to a lower total mass for the system compared to its individual components.

Areas of Agreement / Disagreement

Participants express differing views on the nature of mass and binding energy, with no consensus reached on the origins of the binding energy or the interpretation of mass conversion.

Contextual Notes

Participants reference specific energy values and equations, but the discussion contains unresolved assumptions regarding the definitions of mass and energy in this context.

weltza
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The mass of the hydrogen atom is smaller than the sum of the masses of a proton and an electron. The mass difference is converted into binding energy. Mass was converted, and you know where it went (into binding energy). Where did the mass come from, the electron or proton??
 
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Mass was not converted into energy.
The mass of a hydrogen atom is M_hyd=M_p +m_e +U_binding,
with U_binding=-13.6 eV.
 
did the binding energy come from the proton or the electron, is what I'm asking.
 
What clem is saying is "neither". There are three terms in his expression, and it comes from the third term.
 
The binding energy comes from the interaction of both the electron and the proton. Togehter they'll draw each other down into a potential, and since Energy = mass, the total system will have mass less than mass of lone constituents.
 

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