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Total Binding Energy of Nucleus Formula

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Total 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. Check FAQs

B tot = a v \cdot A - a s \cdot (A^{\frac{2}{3}}) - a c \cdot Z \cdot (Z - 1) \cdot (A^{- \frac{1}{3}}) - a a \cdot {(A - 2 \cdot Z)}^{2} \cdot (A^{- 1}) - a P \cdot (A^{- 1})

B_tot - Total Binding Energy?a_v - Volume Constant?A - Mass Number?a_s - Surface Energy Constant?a_c - Coulomb Energy Constant?Z - Atomic Number?a_a - Asymmetry Energy Constant?a_P - Pairing Energy Constant?

Total Binding Energy of Nucleus Example

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Here is how the Total Binding Energy of Nucleus equation looks like with Values.

Here is how the Total Binding Energy of Nucleus equation looks like with Units.

Here is how the Total Binding Energy of Nucleus equation looks like.

341.8872 = 14.1002 \cdot 40 - 13.05 \cdot (40^{\frac{2}{3}}) - 0.595 \cdot 20 \cdot (20 - 1) \cdot (40^{- \frac{1}{3}}) - 19.2 \cdot {(40 - 2 \cdot 20)}^{2} \cdot (40^{- 1}) - 135 \cdot (40^{- 1})

341.8872MeV = 14.1002MeV \cdot 40 - 13.05MeV \cdot (40^{\frac{2}{3}}) - 0.595MeV \cdot 20 \cdot (20 - 1) \cdot (40^{- \frac{1}{3}}) - 19.2MeV \cdot {(40 - 2 \cdot 20)}^{2} \cdot (40^{- 1}) - 135MeV \cdot (40^{- 1})

341.8872 = 14.1002 \cdot 40 - 13.05 \cdot (40^{\frac{2}{3}}) - 0.595 \cdot 20 \cdot (20 - 1) \cdot (40^{- \frac{1}{3}}) - 19.2 \cdot {(40 - 2 \cdot 20)}^{2} \cdot (40^{- 1}) - 135 \cdot (40^{- 1})

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Total Binding Energy of Nucleus Solution

Follow our step by step solution on how to calculate Total Binding Energy of Nucleus?

FIRST Step Consider the formula

B tot = a v \cdot A - a s \cdot (A^{\frac{2}{3}}) - a c \cdot Z \cdot (Z - 1) \cdot (A^{- \frac{1}{3}}) - a a \cdot {(A - 2 \cdot Z)}^{2} \cdot (A^{- 1}) - a P \cdot (A^{- 1})

Next Step Substitute values of Variables

∴

B tot = 14.1002MeV \cdot 40 - 13.05MeV \cdot (40^{\frac{2}{3}}) - 0.595MeV \cdot 20 \cdot (20 - 1) \cdot (40^{- \frac{1}{3}}) - 19.2MeV \cdot {(40 - 2 \cdot 20)}^{2} \cdot (40^{- 1}) - 135MeV \cdot (40^{- 1})

Next Step Prepare to Evaluate

∴

B tot = 14.1002 \cdot 40 - 13.05 \cdot (40^{\frac{2}{3}}) - 0.595 \cdot 20 \cdot (20 - 1) \cdot (40^{- \frac{1}{3}}) - 19.2 \cdot {(40 - 2 \cdot 20)}^{2} \cdot (40^{- 1}) - 135 \cdot (40^{- 1})

Next Step Evaluate

∴

B tot = 5.47763974135912E-11J

Next Step Convert to Output's Unit

∴

B tot = 341.887233004295MeV

LAST Step Rounding Answer

∴

B tot = 341.8872MeV

Total Binding Energy of Nucleus Formula Elements

Variables

Total Binding Energy

Total 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.

Symbol: B_tot

Measurement: EnergyUnit: MeV

Note: Value can be positive or negative.

Formulas to find Total Binding Energy

Volume Constant

Volume Constant is a constant value which is equal to 14.1 ± 0.02 MeV.

Symbol: a_v

Measurement: EnergyUnit: MeV

Note: Value should be between 14.097 to 14.12.

Formulas to find Volume Constant

Mass Number

Mass Number is the sum of the number of protons and the number of neutrons in an atom.

Symbol: A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mass Number

Surface Energy Constant

Surface Energy Constant is a constant value which equals to 13.0±0.1 MeV.

Symbol: a_s

Measurement: EnergyUnit: MeV

Note: Value should be between 12.8999 to 13.10001.

Formulas to find Surface Energy Constant

Coulomb Energy Constant

Coulomb Energy Constant is a constant quantity which equals to 0.595±0.02 MeV.

Symbol: a_c

Measurement: EnergyUnit: MeV

Note: Value should be between 0.575 to 0.615.

Formulas to find Coulomb Energy Constant

Atomic Number

Atomic Number is the number of protons in an atom.

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Atomic Number

Asymmetry Energy Constant

Asymmetry Energy Constant is a constant quantity which is equal to 19.0±0.9 MeV.

Symbol: a_a

Measurement: EnergyUnit: MeV

Note: Value can be positive or negative.

Formulas to find Asymmetry Energy Constant

Pairing Energy Constant

Pairing Energy Constant is a constant quantity which is equal to ±135 MeV.

Symbol: a_P

Measurement: EnergyUnit: MeV

Note: Value can be positive or negative.

Formulas to find Pairing Energy Constant

Other formulas in Nuclear Chemistry category

Go Binding Energy Per Nucleon

B.E per nucleon = \frac{∆m \cdot 931.5}{A}

Go Mean Life Time

ζ = 1.446 \cdot T 1/2

How to Evaluate Total Binding Energy of Nucleus?

Total Binding Energy of Nucleus evaluator uses Total Binding Energy = Volume Constant*Mass Number-Surface Energy Constant*(Mass Number^(2/3))-Coulomb Energy Constant*Atomic Number*(Atomic Number-1)*(Mass Number^(-1/3))-Asymmetry Energy Constant*(Mass Number-2*Atomic Number)^2*(Mass Number^(-1))-Pairing Energy Constant*(Mass Number^(-1)) to evaluate the Total Binding Energy, The Total Binding Energy of Nucleus formula is given by combining all the energy terms that are present and working on the nucleus of an element. Total Binding Energy is denoted by B_tot symbol.

How to evaluate Total Binding Energy of Nucleus using this online evaluator? To use this online evaluator for Total Binding Energy of Nucleus, enter Volume Constant (a_v), Mass Number (A), Surface Energy Constant (a_s), Coulomb Energy Constant (a_c), Atomic Number (Z), Asymmetry Energy Constant (a_a) & Pairing Energy Constant (a_P) and hit the calculate button.

FAQs on Total Binding Energy of Nucleus

What is the formula to find Total Binding Energy of Nucleus?

The formula of Total Binding Energy of Nucleus is expressed as Total Binding Energy = Volume Constant*Mass Number-Surface Energy Constant*(Mass Number^(2/3))-Coulomb Energy Constant*Atomic Number*(Atomic Number-1)*(Mass Number^(-1/3))-Asymmetry Energy Constant*(Mass Number-2*Atomic Number)^2*(Mass Number^(-1))-Pairing Energy Constant*(Mass Number^(-1)). Here is an example- 2.1E+15 = 2.25910207884661E-12*40-2.09084141565001E-12*(40^(2/3))-9.53295511350004E-14*20*(20-1)*(40^(-1/3))-3.07618047360001E-12*(40-2*20)^2*(40^(-1))-2.16293939550001E-11*(40^(-1)).

How to calculate Total Binding Energy of Nucleus?

With Volume Constant (a_v), Mass Number (A), Surface Energy Constant (a_s), Coulomb Energy Constant (a_c), Atomic Number (Z), Asymmetry Energy Constant (a_a) & Pairing Energy Constant (a_P) we can find Total Binding Energy of Nucleus using the formula - Total Binding Energy = Volume Constant*Mass Number-Surface Energy Constant*(Mass Number^(2/3))-Coulomb Energy Constant*Atomic Number*(Atomic Number-1)*(Mass Number^(-1/3))-Asymmetry Energy Constant*(Mass Number-2*Atomic Number)^2*(Mass Number^(-1))-Pairing Energy Constant*(Mass Number^(-1)).

Can the Total Binding Energy of Nucleus be negative?

Yes, the Total Binding Energy of Nucleus, measured in Energy can be negative.

Which unit is used to measure Total Binding Energy of Nucleus?

Total Binding Energy of Nucleus is usually measured using the Megaelectron-Volt[MeV] for Energy. Joule[MeV], Kilojoule[MeV], Gigajoule[MeV] are the few other units in which Total Binding Energy of Nucleus can be measured.

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Total Binding Energy of Nucleus Formula

Total Binding Energy of Nucleus Example

Total Binding Energy of Nucleus Solution

Total Binding Energy of Nucleus Formula Elements

Other formulas in Nuclear Chemistry category

How to Evaluate Total Binding Energy of Nucleus?

FAQs on Total Binding Energy of Nucleus

Variable Name