Mass Defect, Binding Energy, and Nuclear Stability (Leaving Cert Physics): Flashcards

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Mass Defect, Binding Energy, and Nuclear Stability
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Mass defect

Difference between expected & actual nucleus mass

Is nucleus mass < or > sum of its nucleon masses?

Less than (mass defect is always positive)

Binding energy

Energy equivalent of mass defect (E=mc2E=mc^2)

Formula for binding energy from mass defect

E=mc2E = mc^2 (mass defect × speed of light squared)

What does binding energy represent physically?

Energy to separate nucleus into individual nucleons

Relationship between binding energy and stability

Higher binding energy = more stable nucleus

Most stable nucleus

Iron-56 (peak of binding energy curve)

Nuclear fusion

Light nuclei combine to form heavier, more stable nuclei

Nuclear fission

Heavy nuclei split into lighter, more stable fragments

Why does nuclear fusion release energy?

Products have higher binding energy per nucleon

Why does nuclear fission release energy?

Products more stable than original heavy nucleus

Mass of one proton (kg)

1.672×10−271.672 \times 10^{-27} kg

Mass of one neutron (kg)

1.674×10−271.674 \times 10^{-27} kg

Speed of light in vacuum (m/s)

3.0×1083.0 \times 10^{8} m/s

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