Why Do We Use Integer Atomic Masses in Nuclear Reactions?

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SUMMARY

In nuclear reactions, integer atomic masses are utilized for convenience and clarity, despite the availability of decimal values in Clark's tables. These decimal values represent experimentally obtained masses, while the integer representations simplify calculations and are influenced by the abundance of isotopes in the universe. The concept of mass excess, as defined in Schaums book on Modern Physics, relates to the energy changes during nuclear reactions, highlighting the connection between mass and energy as established by Einstein's theory.

PREREQUISITES
  • Understanding of atomic mass and isotopes
  • Familiarity with nuclear reactions and fission processes
  • Basic knowledge of mass-energy equivalence (E=mc²)
  • Awareness of spectroscopy techniques for measuring isotopic abundance
NEXT STEPS
  • Research the concept of mass excess in nuclear physics
  • Study the role of isotopic abundance in determining atomic mass
  • Learn about the applications of technetium-99 in medical imaging
  • Explore the principles of energy release in fission and fusion reactions
USEFUL FOR

Students and professionals in nuclear physics, chemistry, and medical imaging, particularly those interested in the practical applications of atomic mass in nuclear reactions.

Amith2006
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Homework Statement


In Clark's tables, the atomic masses of various isotopes are given which are decimal form. Are these experimentally obtained masses? Moreover, while writing nuclear reactions we do not use these, instead they are represented as integers. Is it just for convenience or is there any particular reason for this?In Schaums book on Modern Physics, they have defined the difference between the 2 masses as mass excess.Could somebody please explain the relation between these 2 values?

Homework Equations





The Attempt at a Solution

 
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Amith2006 said:

Homework Statement


In Clark's tables, the atomic masses of various isotopes are given which are decimal form. Are these experimentally obtained masses? Moreover, while writing nuclear reactions we do not use these, instead they are represented as integers. Is it just for convenience or is there any particular reason for this?In Schaums book on Modern Physics, they have defined the difference between the 2 masses as mass excess.Could somebody please explain the relation between these 2 values?

My chem teacher in high school said it was about their abundance in the universe (if there's more 16g Oxygen than 15g Oxygen, the decimal will be closer to 16, to put it simply) I don't know if it's abundance on the Earth, or abundance of the Universe. I'd assume they use spectroscopy for measuring the Universe's abundance and have no idea how they'd measure Earth's abundance beyond our little sliver of inhabitation on it's surface.

I think the nuclear reactions round to the nearest integer, or sometimes use the types of isotopes used in your profession (like physics for the health sciences might deal with molybdenum-xx into technetium-99, since radiologists use this to help make detections in living systems).

The excess mass has something to do with the energy that is released (and absorbed for fusion? not sure...) in the fission reactions.

Remember how Einstein equated mass to energy? In Nuclear physics, you get to actually see how that works...
 

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