Why does Atomic Mass Differ from # of Protons & Neutrons?

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Discussion Overview

The discussion revolves around the discrepancy between atomic mass and the sum of protons and neutrons in atomic nuclei, specifically using mercury as an example. Participants explore the reasons behind atomic mass variations, the stability of isotopes, and the relationship between protons and neutrons in determining nuclear stability.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions why the atomic mass of mercury is significantly higher than the sum of its protons and neutrons, suggesting a misunderstanding of nuclear composition.
  • Another participant corrects this by stating that stable isotopes of mercury actually have between 116 and 124 neutrons, not 80, and explains that atomic weight is a weighted average of all stable isotopes.
  • A participant expresses gratitude for the clarification but notes a prior assumption that the number of protons and neutrons should be similar.
  • One participant inquires about an equation that could determine the number of neutrons needed for stability based solely on the atomic number and the forces involved.
  • Another participant mentions a semi-empirical relation regarding the stability of light nuclei and how the neutron-to-proton ratio must increase with the number of protons to maintain stability, but states that no simple equation exists. They also reference a graph showing stable nuclei.
  • A repeated inquiry about neutron stability equations is made, suggesting that the question could be better addressed in a specialized forum.

Areas of Agreement / Disagreement

Participants generally agree on the complexity of atomic mass and stability, but multiple competing views remain regarding the specific relationships and equations that govern neutron and proton interactions.

Contextual Notes

Limitations include potential misunderstandings about the relationship between atomic mass and nuclear composition, as well as the lack of a straightforward equation for predicting neutron numbers based on atomic number alone.

Who May Find This Useful

Readers interested in nuclear physics, atomic structure, and the stability of isotopes may find this discussion relevant.

Myslius
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Why atomic mass doesn't match the number of protons and neutrons in it?
for example mercury mass is 200 gmol but it has only 80 protons and 80 neutrons. From where does 40 gmol come from?
 
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The stable isotopes of Mercury have between 116 and 124 neutrons, not 80. The atomic weight is the weighted average mass of all of the stable isotopes.
 
that makes sense, thanks, i just though that the number of protons and neutrons in nucleus are quite the same
 
Is there any equation to determine how many neutrons there should be to keep an atom stable? I don't mean mass - number of protons. I mean the equation that can determine an interval of neutrons based on atomic number only and the forces.
 
There is a semi-empirical relation that says that light nuclei are most stable when n=p, but that as p increases, the ratio of n/p needs to increase so that the strong force can compensate for the increased electrical repulsion. But I don't think there is a simple equation. Here's a graph showing where the stable nuclei lie:

http://en.wikipedia.org/wiki/Isotope#Nuclear_properties_and_stability
 
Myslius said:
Is there any equation to determine how many neutrons there should be to keep an atom stable? I don't mean mass - number of protons. I mean the equation that can determine an interval of neutrons based on atomic number only and the forces.

Try posting that question in the Nuclear physics forum, you might get some interesting answers.
 

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