Mass defect - where does it go to?

In summary, when two nucleons fuse together, they release binding energy which causes a mass defect in the newly formed deuterium nucleus. This mass defect is related to the binding energy through the equation E=mc^2. There is a discrepancy in the way this phenomenon is described, with some scientists opting for the concept of invariant mass instead of relativistic mass. However, this is simply a different way of explaining the same thing.
  • #1
Michio Cuckoo
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In nuclear physics, when two nucleons (e.g. a proton and neutron) fuse together, they release binding energy.

There is a mass discrepancy between the newly formed deuterium nucleus and the initial mass of both nucleons.

This mass defect is related to the binding energy by the famous equation E = mc^2.

But is the loss in mass really converted to energy? I read that in a modification of special relativity, scientists have abandoned the concept of relativistic mass and opted for invariant mass instead. In this case, where does the mass defect come from?
 
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  • #2
Michio Cuckoo said:
But is the loss in mass really converted to energy? I read that in a modification of special relativity, scientists have abandoned the concept of relativistic mass and opted for invariant mass instead. In this case, where does the mass defect come from?

That's not a "modification" of special relativity, it's just a different way of talking about the same phenomenon. You can either speak in terms of relativistic mass and say that E=mc[itex]^{2}[/itex], or you can speak in terms of the rest mass and say that E[itex]^{2}[/itex]=p[itex]^{2}[/itex]c[itex]^{2}[/itex]+m[itex]^{2}[/itex]c[itex]^{4}[/itex]. The latter is more generally used these days, but the former is still convenient for problems like your deuterium atom.
 

Related to Mass defect - where does it go to?

What is mass defect and why does it occur?

Mass defect refers to the difference between the actual mass and the calculated mass of an atom's nucleus. This occurs because some of the mass of the nucleus is converted into energy during the formation of the atom.

Where does the mass go?

The mass that is lost during the formation of an atom is converted into energy according to Einstein's famous equation, E=mc². This energy is released as photons or other forms of radiation.

How is the mass defect related to nuclear reactions?

Nuclear reactions, such as fusion and fission, involve the conversion of mass into energy. This is because the nucleus of an atom is either split apart or combined with other nuclei, resulting in a change in mass and the release of energy.

Does the mass defect have any practical applications?

Yes, the mass defect is crucial in understanding and harnessing nuclear energy. It is also used in nuclear medicine, where the conversion of mass into energy is used for medical imaging and cancer treatment.

Can the mass defect be measured?

Yes, the mass defect can be measured using mass spectrometry, a technique that measures the mass of atoms and molecules. By comparing the measured mass with the expected mass, scientists can determine the amount of mass that has been converted into energy.

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