Binding Energy per Nucleon Calculator
Calculate the total binding energy and binding energy per nucleon from the mass defect of a nucleus.
Total Binding Energy
492.20 MeV
Total Binding Energy vs Mass Defect (delta m)
सूत्र
## Nuclear Binding Energy The binding energy is the energy required to disassemble a nucleus into free protons and neutrons. Higher binding energy per nucleon means greater nuclear stability. ### Formula **BE = delta_m × 931.494 MeV/u** **BE per nucleon = BE / A** where delta_m is the mass defect (in atomic mass units) and 931.494 MeV/u is the energy equivalent of one atomic mass unit. Iron-56 has the highest BE/nucleon at about 8.79 MeV.
हल किया गया उदाहरण
Fe-56 with mass defect 0.5284 u and A = 56 nucleons.
- 01BE = 0.5284 × 931.494 = 492.3 MeV
- 02BE/A = 492.3 / 56 = 8.79 MeV/nucleon
अक्सर पूछे जाने वाले प्रश्न
Why is iron-56 the most stable nucleus?
Fe-56 has the highest binding energy per nucleon (~8.79 MeV). Elements lighter than iron release energy through fusion (moving toward higher BE/A), while heavier elements release energy through fission.
What is the mass defect?
The mass defect is the difference between the sum of individual nucleon masses and the actual nuclear mass: delta_m = Z×m_p + N×m_n - M_nucleus. This "missing" mass has been converted to binding energy via E=mc².
How does binding energy relate to nuclear power?
In fission, heavy nuclei split into fragments with higher BE/A, releasing the difference as energy. In fusion, light nuclei combine into products with higher BE/A. Both processes release energy by moving toward the iron peak.
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