Functions
template<typename T >
T	EGXPhys::NeutronSeparationEnergyInMeV (const T &massAtomInu, const T &massProducedAtomInu)
	Calculates the neutron separation energy, \(S_{1n}\). The energy in megaelectron volts needed to remove a neutron from the nucleus of an atom. More...

template<typename T >
T	EGXPhys::NeutronSeparationEnergyInJ (const T &massAtomInu, const T &massProducedAtomInu)
	Calculates the neutron separation energy, \(S_{1n}\). The energy in joules needed to remove a neutron from the nucleus of an atom. More...

template<typename T >
T	EGXPhys::NeutronTwoSeparationEnergyInMeV (const T &massAtomInu, const T &massProducedAtomInu)
	Calculates the two neutrons separation energy, \(S_{2n}\). The energy in megaelectron volts needed to remove two neutron from the nucleus of an atom. More...

template<typename T >
T	EGXPhys::NeutronTwoSeparationEnergyInJ (const T &massAtomInu, const T &massProducedAtomInu)
	Calculates the two neutrons separation energy, \(S_{2n}\). The energy in joules needed to remove two neutron from the nucleus of an atom. More...

template<typename T >
T	EGXPhys::ProtonSeparationEnergyInMeV (const T &massAtomInu, const T &massProducedAtomInu)
	Calculates the proton separation energy, \(S_{1p}\). The energy in megaelectron volts needed to remove a proton from the nucleus of an atom. More...

template<typename T >
T	EGXPhys::ProtonSeparationEnergyInJ (const T &massAtomInu, const T &massProducedAtomInu)
	Calculates the proton separation energy, \(S_{1p}\). The energy in joules needed to remove a proton from the nucleus of an atom. More...

template<typename T >
T	EGXPhys::ProtonTwoSeparationEnergyInMeV (const T &massAtomInu, const T &massProducedAtomInu)
	Calculates the two protons separation energy, \(S_{2p}\). The energy in megaelectron volts needed to remove two protons from the nucleus of an atom. More...

template<typename T >
T	EGXPhys::ProtonTwoSeparationEnergyInJ (const T &massAtomInu, const T &massProducedAtomInu)
	Calculates the two protons separation energy, \(S_{2p}\). The energy in joules needed to remove two protons from the nucleus of an atom. More...

Detailed Description

Calculates the Separation Energy, \(S\), of a radioactive substance.

Function Documentation

◆ NeutronSeparationEnergyInJ()

template<typename T >

T EGXPhys::NeutronSeparationEnergyInJ	(	const T &	massAtomInu,
		const T &	massProducedAtomInu
	)

Calculates the neutron separation energy, \(S_{1n}\). The energy in joules needed to remove a neutron from the nucleus of an atom.

The neutron separation energy, \(S_{1n}\), is the energy required to seperate out a neutron from the nucleus of an atom, \(\ce{ ^{A}_{Z}X_{N} }\), in order to produce \(\ce{ ^{A-1}_{Z}X_{N-1} }\). It is equal to the difference in binding energies between \(\ce{ ^{A}_{Z}X_{N} }\) and \(\ce{ ^{A-1}_{Z}X_{N-1} }\).

\[S_{1n} = BE(\ce{ ^{A}_{Z}X_{N} }) - BE(\ce{ ^{A-1}_{Z}X_{N-1} })\]

\[S_{1n} = \left ( m(\ce{ ^{A-1}_{Z}X_{N-1} }) + m_n - m(\ce{ ^{A}_{Z}X_{N} }) \right ) c^2\]

See https://en.wikipedia.org/wiki/Nuclear_binding_energy

Equation taken from "Introductory Nuclear Physics" (Krane, 1987), p. 65

Parameters

massAtomInu	\(m(\ce{ ^{A}_{Z}X_{N} })\ (u)\) Mass of initial atom. The mass of the atom before a neutron is removed in unified atomic mass units.
massProducedAtomInu	\(m(\ce{ ^{A-1}_{Z}X_{N-1} })\ (u)\) Mass of produced atom. The mass of the produced atom once a neutron is removed in unified atomic mass units.

Returns: \(S_{1n}\ (J)\) Neutron separation energy. The energy in joules needed to remove a neutron from the nucleus of the initial atom.

See also: NeutronSeparationEnergyInMeV() to calculate the neutron separation energy in megaelectron volts.; NeutronTwoSeparationEnergyInJ() to calculate the two neutrons separation energy.; ProtonSeparationEnergyInJ() to calculate the proton seperation energy.; ProtonTwoSeparationEnergyInJ() to calculate the two protons seperation energy.; NuclearBindingEnergy() to calculate binding energy, \(BE\), of an atom.

◆ NeutronSeparationEnergyInMeV()

template<typename T >

T EGXPhys::NeutronSeparationEnergyInMeV	(	const T &	massAtomInu,
		const T &	massProducedAtomInu
	)

Calculates the neutron separation energy, \(S_{1n}\). The energy in megaelectron volts needed to remove a neutron from the nucleus of an atom.

The neutron separation energy, \(S_{1n}\), is the energy required to seperate out a neutron from the nucleus of an atom, \(\ce{ ^{A}_{Z}X_{N} }\), in order to produce \(\ce{ ^{A-1}_{Z}X_{N-1} }\). It is equal to the difference in binding energies between \(\ce{ ^{A}_{Z}X_{N} }\) and \(\ce{ ^{A-1}_{Z}X_{N-1} }\).

\[S_{1n} = BE(\ce{ ^{A}_{Z}X_{N} }) - BE(\ce{ ^{A-1}_{Z}X_{N-1} })\]

\[S_{1n} = \left ( m(\ce{ ^{A-1}_{Z}X_{N-1} }) + m_n - m(\ce{ ^{A}_{Z}X_{N} }) \right ) c^2\]

See https://en.wikipedia.org/wiki/Nuclear_binding_energy

Equation taken from "Introductory Nuclear Physics" (Krane, 1987), p. 65

Parameters

massAtomInu	\(m(\ce{ ^{A}_{Z}X_{N} })\ (u)\) Mass of initial atom. The mass of the atom before a neutron is removed in unified atomic mass units.
massProducedAtomInu	\(m(\ce{ ^{A-1}_{Z}X_{N-1} })\ (u)\) Mass of produced atom. The mass of the produced atom once a neutron is removed in unified atomic mass units.

Returns: \(S_{1n}\ (MeV)\) Neutron separation energy. The energy in megaelectron volts needed to remove a neutron from the nucleus of the initial atom.

See also: NeutronSeparationEnergyInJ() to calculate the neutron separation energy in joules.; NeutronTwoSeparationEnergyInMeV() to calculate the two neutrons separation energy.; ProtonSeparationEnergyInMeV() to calculate the proton seperation energy.; ProtonTwoSeparationEnergyInMeV() to calculate the two protons seperation energy.; NuclearBindingEnergy() to calculate binding energy, \(BE\), of an atom.

◆ NeutronTwoSeparationEnergyInJ()

template<typename T >

T EGXPhys::NeutronTwoSeparationEnergyInJ	(	const T &	massAtomInu,
		const T &	massProducedAtomInu
	)

Calculates the two neutrons separation energy, \(S_{2n}\). The energy in joules needed to remove two neutron from the nucleus of an atom.

The two neutrons separation energy, \(S_{2n}\), is the energy required to seperate out two neutron from the nucleus of an atom, \(\ce{ ^{A}_{Z}X_{N} }\), in order to produce \(\ce{ ^{A-2}_{Z}X_{N-2} }\). It is equal to the difference in binding energies between \(\ce{ ^{A}_{Z}X_{N} }\) and \(\ce{ ^{A-2}_{Z}X_{N-2} }\).

\[S_{2n} = BE(\ce{ ^{A}_{Z}X_{N} }) - BE(\ce{ ^{A-2}_{Z}X_{N-2} })\]

\[S_{2n} = \left ( m(\ce{ ^{A-2}_{Z}X_{N-2} }) + 2 m_n - m(\ce{ ^{A}_{Z}X_{N} }) \right ) c^2\]

See https://en.wikipedia.org/wiki/Nuclear_binding_energy

Equation taken from "Introductory Nuclear Physics" (Krane, 1987), p. 65

Parameters

massAtomInu	\(m(\ce{ ^{A}_{Z}X_{N} })\ (u)\) Mass of initial atom. The mass of the atom before two neutron is removed in unified atomic mass units.
massProducedAtomInu	\(m(\ce{ ^{A-2}_{Z}X_{N-2} })\ (u)\) Mass of produced atom. The mass of the produced atom once two neutron is removed in unified atomic mass units.

Returns: \(S_{2n}\ (J)\) Two neutrons separation energy. The energy in joules needed to remove two neutron from the nucleus of the initial atom.

See also: NeutronTwoSeparationEnergyInMeV() to calculate the two neutrons separation energy in megaelectron volts.; NeutronSeparationEnergyInJ() to calculate the neutrons separation energy.; ProtonSeparationEnergyInJ() to calculate the proton seperation energy.; ProtonTwoSeparationEnergyInJ() to calculate the two protons seperation energy.; NuclearBindingEnergy() to calculate binding energy, \(BE\), of an atom.

◆ NeutronTwoSeparationEnergyInMeV()

template<typename T >

T EGXPhys::NeutronTwoSeparationEnergyInMeV	(	const T &	massAtomInu,
		const T &	massProducedAtomInu
	)

Calculates the two neutrons separation energy, \(S_{2n}\). The energy in megaelectron volts needed to remove two neutron from the nucleus of an atom.

The two neutrons separation energy, \(S_{2n}\), is the energy required to seperate out two neutron from the nucleus of an atom, \(\ce{ ^{A}_{Z}X_{N} }\), in order to produce \(\ce{ ^{A-2}_{Z}X_{N-2} }\). It is equal to the difference in binding energies between \(\ce{ ^{A}_{Z}X_{N} }\) and \(\ce{ ^{A-2}_{Z}X_{N-2} }\).

\[S_{2n} = BE(\ce{ ^{A}_{Z}X_{N} }) - BE(\ce{ ^{A-2}_{Z}X_{N-2} })\]

\[S_{2n} = \left ( m(\ce{ ^{A-2}_{Z}X_{N-2} }) + 2 m_n - m(\ce{ ^{A}_{Z}X_{N} }) \right ) c^2\]

See https://en.wikipedia.org/wiki/Nuclear_binding_energy

Equation taken from "Introductory Nuclear Physics" (Krane, 1987), p. 65

Parameters

massAtomInu	\(m(\ce{ ^{A}_{Z}X_{N} })\ (u)\) Mass of initial atom. The mass of the atom before two neutron is removed in unified atomic mass units.
massProducedAtomInu	\(m(\ce{ ^{A-2}_{Z}X_{N-2} })\ (u)\) Mass of produced atom. The mass of the produced atom once two neutron is removed in unified atomic mass units.

Returns: \(S_{2n}\ (MeV)\) Two neutrons separation energy. The energy in megaelectron volts needed to remove two neutron from the nucleus of the initial atom.

See also: NeutronTwoSeparationEnergyInJ() to calculate the two neutrons separation energy in joules.; NeutronSeparationEnergyInMeV() to calculate the neutrons separation energy.; ProtonSeparationEnergyInMeV() to calculate the proton seperation energy.; ProtonTwoSeparationEnergyInMeV() to calculate the two protons seperation energy.; NuclearBindingEnergy() to calculate binding energy, \(BE\), of an atom.

◆ ProtonSeparationEnergyInJ()

template<typename T >

T EGXPhys::ProtonSeparationEnergyInJ	(	const T &	massAtomInu,
		const T &	massProducedAtomInu
	)

Calculates the proton separation energy, \(S_{1p}\). The energy in joules needed to remove a proton from the nucleus of an atom.

The proton separation energy, \(S_{1p}\), is the energy required to seperate out a proton from the nucleus of an atom, \(\ce{ ^{A}_{Z}X_{N} }\), in order to produce \(\ce{ ^{A-1}_{Z-1}X_{N} }\). It is equal to the difference in binding energies between \(\ce{ ^{A}_{Z}X_{N} }\) and \(\ce{ ^{A-1}_{Z-1}X_{N} }\).

\[S_{1p} = BE(\ce{ ^{A}_{Z}X_{N} }) - BE(\ce{ ^{A-1}_{Z-1}X_{N} })\]

\[S_{1p} = \left ( m(\ce{ ^{A-1}_{Z-1}X_{N} }) + m_p - m(\ce{ ^{A}_{Z}X_{N} }) \right ) c^2\]

See https://en.wikipedia.org/wiki/Nuclear_binding_energy

Equation taken from "Introductory Nuclear Physics" (Krane, 1987), p. 65

Parameters

massAtomInu	\(m(\ce{ ^{A}_{Z}X_{N} })\ (u)\) Mass of initial atom. The mass of the atom before a proton is removed in unified atomic mass units.
massProducedAtomInu	\(m(\ce{ ^{A-1}_{Z-1}X_{N} })\ (u)\) Mass of produced atom. The mass of the produced atom once a proton is removed in unified atomic mass units.

Returns: \(S_{1p}\ (J)\) Proton separation energy. The energy in joules needed to remove a proton from the nucleus of the initial atom.

See also: ProtonSeparationEnergyInMeV() to calculate the proton separation energy in megaelectron volts.; ProtonTwoSeparationEnergyInJ() to calculate the two protons seperation energy.; NeutronSeparationEnergyInJ() to calculate the neutron seperation energy.; NeutronTwoSeparationEnergyInJ() to calculate the two neutrons separation energy.; NuclearBindingEnergy() to calculate binding energy, \(BE\), of an atom.

◆ ProtonSeparationEnergyInMeV()

template<typename T >

T EGXPhys::ProtonSeparationEnergyInMeV	(	const T &	massAtomInu,
		const T &	massProducedAtomInu
	)

Calculates the proton separation energy, \(S_{1p}\). The energy in megaelectron volts needed to remove a proton from the nucleus of an atom.

The proton separation energy, \(S_{1p}\), is the energy required to seperate out a proton from the nucleus of an atom, \(\ce{ ^{A}_{Z}X_{N} }\), in order to produce \(\ce{ ^{A-1}_{Z-1}X_{N} }\). It is equal to the difference in binding energies between \(\ce{ ^{A}_{Z}X_{N} }\) and \(\ce{ ^{A-1}_{Z-1}X_{N} }\).

\[S_{1p} = BE(\ce{ ^{A}_{Z}X_{N} }) - BE(\ce{ ^{A-1}_{Z-1}X_{N} })\]

\[S_{1p} = \left ( m(\ce{ ^{A-1}_{Z-1}X_{N} }) + m_p - m(\ce{ ^{A}_{Z}X_{N} }) \right ) c^2\]

See https://en.wikipedia.org/wiki/Nuclear_binding_energy

Equation taken from "Introductory Nuclear Physics" (Krane, 1987), p. 65

Parameters

massAtomInu	\(m(\ce{ ^{A}_{Z}X_{N} })\ (u)\) Mass of initial atom. The mass of the atom before a proton is removed in unified atomic mass units.
massProducedAtomInu	\(m(\ce{ ^{A-1}_{Z-1}X_{N} })\ (u)\) Mass of produced atom. The mass of the produced atom once a proton is removed in unified atomic mass units.

Returns: \(S_{1p}\ (MeV)\) Proton separation energy. The energy in megaelectron volts needed to remove a proton from the nucleus of the initial atom.

See also: ProtonSeparationEnergyInJ() to calculate the proton separation energy in joules.; ProtonTwoSeparationEnergyInMeV() to calculate the two protons seperation energy.; NeutronSeparationEnergyInMeV() to calculate the neutron seperation energy.; NeutronTwoSeparationEnergyInMeV() to calculate the two neutrons separation energy.; NuclearBindingEnergy() to calculate binding energy, \(BE\), of an atom.

◆ ProtonTwoSeparationEnergyInJ()

template<typename T >

T EGXPhys::ProtonTwoSeparationEnergyInJ	(	const T &	massAtomInu,
		const T &	massProducedAtomInu
	)

Calculates the two protons separation energy, \(S_{2p}\). The energy in joules needed to remove two protons from the nucleus of an atom.

The two protons separation energy, \(S_{2p}\), is the energy required to seperate out two protons from the nucleus of an atom, \(\ce{ ^{A}_{Z}X_{N} }\), in order to produce \(\ce{ ^{A-2}_{Z-2}X_{N} }\). It is equal to the difference in binding energies between \(\ce{ ^{A}_{Z}X_{N} }\) and \(\ce{ ^{A-2}_{Z-2}X_{N} }\).

\[S_{2p} = BE(\ce{ ^{A}_{Z}X_{N} }) - BE(\ce{ ^{A-2}_{Z-2}X_{N} })\]

\[S_{2p} = \left ( m(\ce{ ^{A-2}_{Z-2}X_{N} }) + 2 m_p - m(\ce{ ^{A}_{Z}X_{N} }) \right ) c^2\]

See https://en.wikipedia.org/wiki/Nuclear_binding_energy

Equation taken from "Introductory Nuclear Physics" (Krane, 1987), p. 65

Parameters

massAtomInu	\(m(\ce{ ^{A}_{Z}X_{N} })\ (u)\) Mass of initial atom. The mass of the atom before two protons is removed in unified atomic mass units.
massProducedAtomInu	\(m(\ce{ ^{A-2}_{Z-2}X_{N} })\ (u)\) Mass of produced atom. The mass of the produced atom once two protons is removed in unified atomic mass units.

Returns: \(S_{2p}\ (J)\) Two protons separation energy. The energy in joules needed to remove two protons from the nucleus of the initial atom.

See also: ProtonTwoSeparationEnergyInMeV() to calculate the two protons separation energy in megaelectron volts.; ProtonSeparationEnergyInJ() to calculate the proton seperation energy.; NeutronSeparationEnergyInJ() to calculate the neutrons separation energy.; NeutronTwoSeparationEnergyInJ() to calculate the two neutrons seperation energy.; NuclearBindingEnergy() to calculate binding energy, \(BE\), of an atom.

◆ ProtonTwoSeparationEnergyInMeV()

template<typename T >

T EGXPhys::ProtonTwoSeparationEnergyInMeV	(	const T &	massAtomInu,
		const T &	massProducedAtomInu
	)

Calculates the two protons separation energy, \(S_{2p}\). The energy in megaelectron volts needed to remove two protons from the nucleus of an atom.

The two protons separation energy, \(S_{2p}\), is the energy required to seperate out two protons from the nucleus of an atom, \(\ce{ ^{A}_{Z}X_{N} }\), in order to produce \(\ce{ ^{A-2}_{Z-2}X_{N} }\). It is equal to the difference in binding energies between \(\ce{ ^{A}_{Z}X_{N} }\) and \(\ce{ ^{A-2}_{Z-2}X_{N} }\).

\[S_{2p} = BE(\ce{ ^{A}_{Z}X_{N} }) - BE(\ce{ ^{A-2}_{Z-2}X_{N} })\]

\[S_{2p} = \left ( m(\ce{ ^{A-2}_{Z-2}X_{N} }) + 2 m_p - m(\ce{ ^{A}_{Z}X_{N} }) \right ) c^2\]

See https://en.wikipedia.org/wiki/Nuclear_binding_energy

Equation taken from "Introductory Nuclear Physics" (Krane, 1987), p. 65

Parameters

massAtomInu	\(m(\ce{ ^{A}_{Z}X_{N} })\ (u)\) Mass of initial atom. The mass of the atom before two protons is removed in unified atomic mass units.
massProducedAtomInu	\(m(\ce{ ^{A-2}_{Z-2}X_{N} })\ (u)\) Mass of produced atom. The mass of the produced atom once two protons is removed in unified atomic mass units.

Returns: \(S_{2p}\ (MeV)\) Two protons separation energy. The energy in megaelectron volts needed to remove two protons from the nucleus of the initial atom.

See also: ProtonTwoSeparationEnergyInJ() to calculate the two protons separation energy in joules.; ProtonSeparationEnergyInMeV() to calculate the proton seperation energy.; NeutronSeparationEnergyInMeV() to calculate the neutrons separation energy.; NeutronTwoSeparationEnergyInMeV() to calculate the two neutrons seperation energy.; NuclearBindingEnergy() to calculate binding energy, \(BE\), of an atom.

Functions

Detailed Description

Function Documentation

◆ NeutronSeparationEnergyInJ()

◆ NeutronSeparationEnergyInMeV()

◆ NeutronTwoSeparationEnergyInJ()

◆ NeutronTwoSeparationEnergyInMeV()

◆ ProtonSeparationEnergyInJ()

◆ ProtonSeparationEnergyInMeV()

◆ ProtonTwoSeparationEnergyInJ()

◆ ProtonTwoSeparationEnergyInMeV()