Kostenloser Binding Energie per Nucleon Rechner
Berechnen Sie nuclear binding energy und binding energy per nucleon aus mass defect. Understand nuclear stability.
Total Binding Energy
492.20 MeV
Total Binding Energy vs Mass Defect (delta m)
Formel
## 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.
Lösungsbeispiel
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
Häufig Gestellte Fragen
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.
Lernen