Binding Energy Calculator

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✖Atomic Number is the number of protons present inside the nucleus of an atom of an element.ⓘ Atomic Number [Z]			+10% -10%
✖Mass of Proton is 1.67262 × 10−27.ⓘ Mass of Proton [m_p]			+10% -10%
✖Mass Number is the sum of protons and neutrons in an atom of an element.ⓘ Mass Number [A]			+10% -10%
✖Mass of Neutron is 1.674927471×10−27 kg.ⓘ Mass of Neutron [m_n]			+10% -10%
✖Mass of Atom is the product of atomic number and mass number.ⓘ Mass of Atom [m_atom]			+10% -10%

✖Binding Energy is the amount of energy required to separate a particle from a system of particles or to disperse all the particles of the system.ⓘ Binding Energy [BE]

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Formula

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Binding Energy

Formula

`"BE" = ("Z"*"m"_{"p"}+("A"-"Z")*"m"_{"n"}-"m"_{"atom"})*"[c]"^2`

Example

`"2E^10eV"=("17"*"1.00728u"+("37"-"17")*"1.00866u"-"16u")*"[c]"^2`

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Binding Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Binding Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2
BE = (Z*m_p+(A-Z)*m_n-m_atom)*[c]^2
This formula uses 1 Constants, 6 Variables

Constants Used

[c] - Light speed in vacuum Value Taken As 299792458.0

Variables Used

Binding Energy - (Measured in Joule) - Binding Energy is the amount of energy required to separate a particle from a system of particles or to disperse all the particles of the system.
Atomic Number - Atomic Number is the number of protons present inside the nucleus of an atom of an element.
Mass of Proton - (Measured in Kilogram) - Mass of Proton is 1.67262 × 10−27.
Mass Number - Mass Number is the sum of protons and neutrons in an atom of an element.
Mass of Neutron - (Measured in Kilogram) - Mass of Neutron is 1.674927471×10−27 kg.
Mass of Atom - (Measured in Kilogram) - Mass of Atom is the product of atomic number and mass number.

STEP 1: Convert Input(s) to Base Unit

Atomic Number: 17 --> No Conversion Required
Mass of Proton: 1.00728 Atomic Mass Unit --> 1.67262893284352E-27 Kilogram (Check conversion here)
Mass Number: 37 --> No Conversion Required
Mass of Neutron: 1.00866 Atomic Mass Unit --> 1.67492047831978E-27 Kilogram (Check conversion here)
Mass of Atom: 16 Atomic Mass Unit --> 2.65686432029787E-26 Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

BE = (Z*m_p+(A-Z)*m_n-m_atom)*[c]^2 --> (17*1.67262893284352E-27+(37-17)*1.67492047831978E-27-2.65686432029787E-26)*[c]^2

Evaluating ... ...

BE = 3.17839899700257E-09

STEP 3: Convert Result to Output's Unit

3.17839899700257E-09 Joule -->19837997564.2431 Electron-Volt (Check conversion here)

FINAL ANSWER

19837997564.2431 ≈ 2E+10 Electron-Volt <-- Binding Energy

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Verified by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< 11 Nucleus Calculators

Binding Energy

Go Binding Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2

Mass Defect

Go Mass Defect = Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom

Population at Time t

Go Number of Particles at Time t = Number of Particles in Sample Initially*e^(-(Decay Constant*Time)/(3.156*10^7))

Population after N Half Lives

Go Number of Particles at Time t = Number of Particles in Sample Initially/(2^(Number of Half Lives))

Decay Rate

Go Decay Rate = -Decay Constant*Total Number of Particles in Sample

Nuclear Radius

Go Nuclear Radius = Radius of Nucleon*Mass Number^(1/3)

Change in Mass in Nuclear Reaction

Go Mass Defect = Mass Reactant-Mass Product

Q-Value

Go Q Value = Initial Energy-Final Energy

Half Life for Nuclear Decay

Go Half Life Period = 0.693/Decay Constant

Average Life

Go Average Life = 1/Decay Constant

Energy Released in Nuclear Reaction

Go Energy = Mass Defect*[c]^2

Binding Energy Formula

Binding Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2
BE = (Z*m_p+(A-Z)*m_n-m_atom)*[c]^2

What do you mean by binding energy?

Binding energy, amount of energy required to separate a particle from a system of particles or to disperse all the particles of the system. Binding energy is especially applicable to subatomic particles in atomic nuclei, to electrons bound to nuclei in atoms, and to atoms and ions bound together in crystals.

How to Calculate Binding Energy?

Binding Energy calculator uses Binding Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2 to calculate the Binding Energy, Binding Energy formula is defined as the amount of energy required to separate a particle from a system of particles or to disperse all the particles of the system. Binding Energy is denoted by BE symbol.

How to calculate Binding Energy using this online calculator? To use this online calculator for Binding Energy, enter Atomic Number (Z), Mass of Proton (m_p), Mass Number (A), Mass of Neutron (m_n) & Mass of Atom (m_atom) and hit the calculate button. Here is how the Binding Energy calculation can be explained with given input values -> 1.2E+29 = (17*1.67262893284352E-27+(37-17)*1.67492047831978E-27-2.65686432029787E-26)*[c]^2.

FAQ

What is Binding Energy?

Binding Energy formula is defined as the amount of energy required to separate a particle from a system of particles or to disperse all the particles of the system and is represented as BE = (Z*m_p+(A-Z)*m_n-m_atom)*[c]^2 or Binding Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2. Atomic Number is the number of protons present inside the nucleus of an atom of an element, Mass of Proton is 1.67262 × 10−27, Mass Number is the sum of protons and neutrons in an atom of an element, Mass of Neutron is 1.674927471×10−27 kg & Mass of Atom is the product of atomic number and mass number.

How to calculate Binding Energy?

Binding Energy formula is defined as the amount of energy required to separate a particle from a system of particles or to disperse all the particles of the system is calculated using Binding Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2. To calculate Binding Energy, you need Atomic Number (Z), Mass of Proton (m_p), Mass Number (A), Mass of Neutron (m_n) & Mass of Atom (m_atom). With our tool, you need to enter the respective value for Atomic Number, Mass of Proton, Mass Number, Mass of Neutron & Mass of Atom and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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