Electron Capture

Functions
template<typename T >
T	EGXPhys::QValueElectronCaptureInMeV (const T massParentInu, const T massDaughterInu, const T neutronBindingEnergyInMeV=(T)(0.0))
	Calculates the Q-value, \(Q\) of an electron capture(k-capture) nuclear reaction in megaelectron volts. The Q-value allows you to determine if a nuclear reaction is endothermic or exothermic. More...
template<typename T >
T	EGXPhys::QValueElectronCaptureInJ (const T massParentInu, const T massDaughterInu, const T neutronBindingEnergyInJ=(T)(0.0))
	Calculates the Q-value, \(Q\) of an electron capture(k-capture) nuclear reaction in joules. The Q-value allows you to determine if a nuclear reaction is endothermic or exothermic. More...
template<typename T >
T	EGXPhys::QValueDoubleElectronCaptureInMeV (const T massParentInu, const T massDaughterInu, const T neutronBindingEnergyInMeV=(T)(0.0))
	Calculates the Q-value, \(Q\), of a double electron capture(k-capture) nuclear reaction in megaelectron volts. The Q-value allows you to determine if a nuclear reaction is endothermic or exothermic. More...
template<typename T >
T	EGXPhys::QValueDoubleElectronCaptureInJ (const T massParentInu, const T massDaughterInu, const T neutronBindingEnergyInJ=(T)(0.0))
	Calculates the Q-value, \(Q\), of a double electron capture(k-capture) nuclear reaction in joules. The Q-value allows you to determine if a nuclear reaction is endothermic or exothermic. More...

Detailed Description

Function Documentation

QValueDoubleElectronCaptureInJ()

template<typename T >

T EGXPhys::QValueDoubleElectronCaptureInJ	(	const T	massParentInu,
		const T	massDaughterInu,
		const T	neutronBindingEnergyInJ = (T)(0.0)
	)

Calculates the Q-value, \(Q\), of a double electron capture(k-capture) nuclear reaction in joules. The Q-value allows you to determine if a nuclear reaction is endothermic or exothermic.

The Q-value, \(Q\), is the energy released during a nuclear reaction. The Q-value can be positive, negative or zero. For \(Q < 0\) the reaction is endothermic/endoergic resulting in the kinetic energy of the reaction being converted into mass or binding energy. For \(Q > 0\) the reaction is exothermic/exoergic resulting in the mass or binding energy being released as kinetic energy.

To calculate the Q-value it is the initial mass of the parent atom, \(m(\ce{ ^{A}_{Z}X_{N} })\), minus the final mass of the daughter atom, \(m(\ce{ ^{A}_{Z -2}Y_{N +2} })\), as well as the binding energy of the n-shell captured electron \(B_{2n}\):

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

Depending on the database/calculation style the binding energy of the n-shelled captured electron is not included in the calculation. For example nndc.bnl.gov exlcudes it while Krane includes it.

See http://www.nndc.bnl.gov/qcalc/ and http://www.nuclear-power.net/nuclear-power/nuclear-reactions/q-value-energetics-nuclear-reactions/ and https://en.wikipedia.org/wiki/Electron_capture

Equation taken from "Introductory Nuclear Physics" (Krane, 1987), p. 62 & p. 381

Parameters

massParentInu	\(m(\ce{ ^{A}_{Z}X_{N} })\ (u)\) Mass of parrent nucleus in unified atomic mass units.
massDaughterInu	\(m(\ce{ ^{A}_{Z -2}Y_{N +2} })\ (u)\) Mass of daughter nucleus in unified atomic mass units.
neutronBindingEnergyInJ	\(B_{2n}\ (J)\) Binding energy of the two n-shell captured electron in joules.

Returns

\(Q\ (J)\) Q-value. The energy in joules produced by a nuclear reaction.

See also

MassDefect() to calculate the mass defect of an atom.

NuclearBindingEnergy() to calculate binding energy, \(BE\), of an atom.

QValueAlphaDecayInJ() to calculate Q-Value for an alpha decay reaction in joules.

QValueBetaMinusDecayInJ() to calculate Q-Value for a beta minus decay reaction in joules.

QValueBetaPlusDecayInJ() to calculate Q-Value for a beta plus decay reaction decay in joules.

QValueNeutronEmissionInJ() to calculate Q-Value for an neutron emission reaction in joules.

QValueProtonEmissionInJ() to calculate Q-Value for a proton emission reaction in joules.

QValueDoubleElectronCaptureInMeV()

template<typename T >

T EGXPhys::QValueDoubleElectronCaptureInMeV	(	const T	massParentInu,
		const T	massDaughterInu,
		const T	neutronBindingEnergyInMeV = (T)(0.0)
	)

Calculates the Q-value, \(Q\), of a double electron capture(k-capture) nuclear reaction in megaelectron volts. The Q-value allows you to determine if a nuclear reaction is endothermic or exothermic.

The Q-value, \(Q\), is the energy released during a nuclear reaction. The Q-value can be positive, negative or zero. For \(Q < 0\) the reaction is endothermic/endoergic resulting in the kinetic energy of the reaction being converted into mass or binding energy. For \(Q > 0\) the reaction is exothermic/exoergic resulting in the mass or binding energy being released as kinetic energy.

To calculate the Q-value it is the initial mass of the parent atom, \(m(\ce{ ^{A}_{Z}X_{N} })\), minus the final mass of the daughter atom, \(m(\ce{ ^{A}_{Z -2}Y_{N +2} })\), as well as the binding energy of the two n-shell captured electron \(B_{2n}\):

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

Depending on the database/calculation style the binding energy of the two n-shelled captured electron is not included in the calculation. For example nndc.bnl.gov exlcudes it while Krane includes it.

See http://www.nndc.bnl.gov/qcalc/ and http://www.nuclear-power.net/nuclear-power/nuclear-reactions/q-value-energetics-nuclear-reactions/ and https://en.wikipedia.org/wiki/Electron_capture

Equation taken from "Introductory Nuclear Physics" (Krane, 1987), p. 62 & p. 381

Parameters

massParentInu	\(m(\ce{ ^{A}_{Z}X_{N} })\ (u)\) Mass of parrent nucleus in unified atomic mass units.
massDaughterInu	\(m(\ce{ ^{A}_{Z -2}Y_{N +2} })\ (u)\) Mass of daughter nucleus in unified atomic mass units.
neutronBindingEnergyInMeV	\(B_{2n}\ (MeV)\) Binding energy of the two n-shell captured electron in megaelectron volts.

Returns

\(Q\ (MeV)\) Q-value. The energy in megaelectron volts produced by a nuclear reaction.

See also

MassDefect() to calculate the mass defect of an atom.

NuclearBindingEnergy() to calculate binding energy, \(BE\), of an atom.

QValueAlphaDecayInMeV() to calculate Q-Value for an alpha decay reaction in megaelectron volts.

QValueBetaMinusDecayInMeV() to calculate Q-Value for a beta minus decay reaction in megaelectron volts.

QValueBetaPlusDecayInMeV() to calculate Q-Value for a beta plus decay reaction decay in megaelectron volts.

QValueNeutronEmissionInMeV() to calculate Q-Value for an neutron emission reaction in megaelectron volts.

QValueProtonEmissionInMeV() to calculate Q-Value for a proton emission reaction in megaelectron volts.

QValueElectronCaptureInJ()

template<typename T >

T EGXPhys::QValueElectronCaptureInJ	(	const T	massParentInu,
		const T	massDaughterInu,
		const T	neutronBindingEnergyInJ = (T)(0.0)
	)

Calculates the Q-value, \(Q\) of an electron capture(k-capture) nuclear reaction in joules. The Q-value allows you to determine if a nuclear reaction is endothermic or exothermic.

The Q-value, \(Q\), is the energy released during a nuclear reaction. The Q-value can be positive, negative or zero. For \(Q < 0\) the reaction is endothermic/endoergic resulting in the kinetic energy of the reaction being converted into mass or binding energy. For \(Q > 0\) the reaction is exothermic/exoergic resulting in the mass or binding energy being released as kinetic energy.

To calculate the Q-value it is the initial mass of the parent atom, \(m(\ce{ ^{A}_{Z}X_{N} })\), minus the final mass of the daughter atom, \(m(\ce{ ^{A}_{Z -1}Y_{N +1} })\), as well as the binding energy of the n-shell captured electron \(B_n\):

\[Q = \left ( m(\ce{ ^{A}_{Z}X_{N} })-m(\ce{ ^{A}_{Z -1}Y_{N +1} }) \right) c^2-B_n\]

Depending on the database/calculation style the binding energy of the n-shelled captured electron is not included in the calculation. For example nndc.bnl.gov exlcudes it while Krane includes it.

See http://www.nndc.bnl.gov/qcalc/ and http://www.nuclear-power.net/nuclear-power/nuclear-reactions/q-value-energetics-nuclear-reactions/ and https://en.wikipedia.org/wiki/Electron_capture

Equation taken from "Introductory Nuclear Physics" (Krane, 1987), p. 62 & p. 381

Parameters

massParentInu	\(m(\ce{ ^{A}_{Z}X_{N} })\ (u)\) Mass of parrent nucleus in unified atomic mass units.
massDaughterInu	\(m(\ce{ ^{A}_{Z -1}Y_{N +1} })\ (u)\) Mass of daughter nucleus in unified atomic mass units.
neutronBindingEnergyInJ	\(B_n\ (J)\) Binding energy of the n-shell captured electron in joules.

Returns

\(Q\ (J)\) Q-value. The energy in joules produced by a nuclear reaction.

See also

MassDefect() to calculate the mass defect of an atom.

NuclearBindingEnergy() to calculate binding energy, \(BE\), of an atom.

QValueAlphaDecayInJ() to calculate Q-Value for an alpha decay reaction in joules.

QValueBetaMinusDecayInJ() to calculate Q-Value for a beta minus decay reaction in joules.

QValueBetaPlusDecayInJ() to calculate Q-Value for a beta plus decay reaction decay in joules.

QValueNeutronEmissionInJ() to calculate Q-Value for an neutron emission reaction in joules.

QValueProtonEmissionInJ() to calculate Q-Value for a proton emission reaction in joules.

QValueElectronCaptureInMeV()

template<typename T >

T EGXPhys::QValueElectronCaptureInMeV	(	const T	massParentInu,
		const T	massDaughterInu,
		const T	neutronBindingEnergyInMeV = (T)(0.0)
	)

Calculates the Q-value, \(Q\) of an electron capture(k-capture) nuclear reaction in megaelectron volts. The Q-value allows you to determine if a nuclear reaction is endothermic or exothermic.

The Q-value, \(Q\), is the energy released during a nuclear reaction. The Q-value can be positive, negative or zero. For \(Q < 0\) the reaction is endothermic/endoergic resulting in the kinetic energy of the reaction being converted into mass or binding energy. For \(Q > 0\) the reaction is exothermic/exoergic resulting in the mass or binding energy being released as kinetic energy.

To calculate the Q-value it is the initial mass of the parent atom, \(m(\ce{ ^{A}_{Z}X_{N} })\), minus the final mass of the daughter atom, \(m(\ce{ ^{A}_{Z -1}Y_{N +1} })\), as well as the binding energy of the n-shell captured electron \(B_n\):

\[Q = \left ( m(\ce{ ^{A}_{Z}X_{N} })-m(\ce{ ^{A}_{Z -1}Y_{N +1} }) \right) c^2-B_n\]

Depending on the database/calculation style the binding energy of the n-shelled captured electron is not included in the calculation. For example nndc.bnl.gov exlcudes it while Krane includes it.

See http://www.nndc.bnl.gov/qcalc/ and http://www.nuclear-power.net/nuclear-power/nuclear-reactions/q-value-energetics-nuclear-reactions/ and https://en.wikipedia.org/wiki/Electron_capture

Equation taken from "Introductory Nuclear Physics" (Krane, 1987), p. 62 & p. 381

Parameters

massParentInu	\(m(\ce{ ^{A}_{Z}X_{N} })\ (u)\) Mass of parrent nucleus in unified atomic mass units.
massDaughterInu	\(m(\ce{ ^{A}_{Z -1}Y_{N +1} })\ (u)\) Mass of daughter nucleus in unified atomic mass units.
neutronBindingEnergyInMeV	\(B_n\ (MeV)\) Binding energy of the n-shell captured electron in megaelectron volts.

Returns

\(Q\ (MeV)\) Q-value. The energy in megaelectron volts produced by a nuclear reaction.

See also

MassDefect() to calculate the mass defect of an atom.

NuclearBindingEnergy() to calculate binding energy, \(BE\), of an atom.

QValueAlphaDecayInMeV() to calculate Q-Value for an alpha decay reaction in megaelectron volts.

QValueBetaMinusDecayInMeV() to calculate Q-Value for a beta minus decay reaction in megaelectron volts.

QValueBetaPlusDecayInMeV() to calculate Q-Value for a beta plus decay reaction decay in megaelectron volts.

QValueNeutronEmissionInMeV() to calculate Q-Value for an neutron emission reaction in megaelectron volts.

QValueProtonEmissionInMeV() to calculate Q-Value for a proton emission reaction in megaelectron volts.