# Mass Defect and Binding Energy Calculator

The Mass Defect and Binding Energy Calculator will calculate the:

1. Mass defect of any atomic nucleus when atomic parameters are known
2. 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

 🖹 Normal View🗖 Full Page View Calculator Precision (Decimal Places)0123451020304050 Atomic number (Z) Atomic mass number (A) Mass of proton (mp) u Mass of neutron (mn) u Average mass of nucleus (M) u Speed of light (c) m/s × 10 power of ∞ Real Number Results∑ Scientific Number Results

Note:

1. Atomic number is the number of protons in the nucleus
2. Atomic mass number is the number of protons and neutrons in the nucleus
Mass defect of a given element calculation The mass defect of a given element Δm is u [atomic mass unit] = kg [kilogram] The binding energy of an atomic nucleus Eb is J [Joule] = eV [electronvolt] ∆m = Z ∙ mp + (A - Z) ∙ mn - M∆m = ∙ + ( - ) ∙ - ∆m = ∙ + () ∙ - ∆m = Eb = [Z ∙ mp + (A - Z) ∙ mn - M] ∙ c2Eb = [ ∙ + ( - ) ∙ - ] ∙ 2Eb = [ ∙ + () ∙ - ] ∙ Eb = [ u] ∙ Eb = [ kg] ∙ Eb = JEb = eV Atomic number (Z) Atomic mass number (A) Mass of proton (mp) u [atomic mass unit] Mass of neutron (mn) 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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Chemistry

Section 19: Modern Physics

Section 20: Nucleus Physics

## Mass defect of a given element Formula and Calculation

∆m = Z ∙ mp + (A - Z) ∙ mn - M

## Binding energy of an atomic nucleus Formula and Calculation

Eb = [Z ∙ mp + (A - Z) ∙ mn - M] ∙ c2

## Electrodynamics Physics Tutorials associated with the Mass Defect Binding Energy Calculator

The following Physics tutorials are provided within the Electrodynamics section of our Free Physics Tutorials. Each Electrodynamics tutorial includes detailed Electrodynamics formula and example of how to calculate and resolve specific Electrodynamics questions and problems. At the end of each Electrodynamics tutorial you will find Electrodynamics revision questions with a hidden answer that reveals when clicked. This allows you to learn about Electrodynamics and test your knowledge of Physics by answering the test questions on Electrodynamics.

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