Mass Defect and Binding Energy Calculator

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

Mass Defect and Binding Energy Calculator
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Calculator Precision (Decimal Places)
Atomic number (Z)
Atomic mass number (A)
Mass of proton (m_p) u
Mass of neutron (m_n) u
Average mass of nucleus (M) u
Speed of light (c) m/s	× 10 power of
∞ Real Number Results∑ Scientific Number Results

Note:

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

Mass Defect and Binding Energy Calculator Results (detailed calculations and formula below)
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 E_b is J [Joule] = eV [electronvolt]
∆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] ∙ c² E_b = [ ∙ + ( - ) ∙ - ] ∙ ^² E_b = [ ∙ + () ∙ - ] ∙ E_b = [ u] ∙ E_b = [ kg] ∙ E_b = J E_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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Discover Physics with free Physics Revision Notes and Physics Calculator: Mass Defect Binding Energy. This image shows the properties and mass defect binding energy formula for the Mass Defect Binding Energy. The Mass Defect and Binding Energy Calculator will calculate the mass defect and binding energy of any atomic nucleus when atomic parameters are known

Mass defect of a given element Formula and Calculation

∆m = Z ∙ m_p + (A - Z) ∙ m_n - M

Binding energy of an atomic nucleus Formula and Calculation

E_b = [Z ∙ m_p + (A - Z) ∙ m_n - 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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Mass Defect and Binding Energy Calculator

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Mass defect of a given element Formula and Calculation

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