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The Mass Defect and Binding Energy Calculator will calculate the:

- Mass defect of any atomic nucleus when atomic parameters are known
- Binding energy of an atomic nucleus when atomic parameters are known

**Calculation Parameters:** The mass of nucleus is given in the periodic table in terms of atomic mass unit, u. It represents an average value of the mass of all isotopes for a given element. Conversion factors used : 1 u = 1.66054 × 10^{-27} kg and 1eV = 1.6 × 10^{-19} J

Note:

**Atomic number**is the number of protons in the nucleus**Atomic mass number**is the number of protons and neutrons in the nucleus

The mass defect of a given element Δm is u [atomic mass unit] = kg [kilogram] |

The binding energy of an atomic nucleus E_{b} is J [Joule] = eV [electronvolt] |

Mass defect of a given element calculation |
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∆m = Z ∙ m_{p} + (A - Z) ∙ m_{n} - M∆m = ∙ + ( - ) ∙ - ∆m = ∙ + () ∙ - ∆m = |

Binding energy of an atomic nucleus calculation |

E_{b} = [Z ∙ m_{p} + (A - Z) ∙ m_{n} - M] ∙ c^{2}E _{b} = [ ∙ + ( - ) ∙ - ] ∙ ^{2}E _{b} = [ ∙ + () ∙ - ] ∙ E _{b} = [ u] ∙ E _{b} = [ kg] ∙ E _{b} = JE _{b} = eV |

Mass Defect Binding Energy Calculator Input Values |

Atomic number (Z) |

Atomic mass number (A) |

Mass of proton (m_{p}) u [atomic mass unit] |

Mass of neutron (m_{n}) u [atomic mass unit] |

Average mass of nucleus (M) u [atomic mass unit] |

Speed of light (c) m/s [metre per second] |

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each mass defect binding energy calculation, the Mass Defect Binding Energy Calculator will automatically calculate the results and update the Physics formula elements with each element of the mass defect binding energy calculation. You can then email or print this mass defect binding energy calculation as required for later use.

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∆m = Z ∙ m_{p} + (A - Z) ∙ m_{n} - M

E_{b} = [Z ∙ m_{p} + (A - Z) ∙ m_{n} - M] ∙ c^{2}

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