Alpha Decay

Functions
template<typename T >
T	EGXPhys::QValueAlphaDecayInMeV (const T massParentInu, const T massDaughterInu)
	Calculates the Q-value, \(Q\) of an alpha decay 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::QValueAlphaDecayInJ (const T massParentInu, const T massDaughterInu)
	Calculates the Q-value, \(Q\) of an alpha decay 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::QValueDoubleAlphaDecayInMeV (const T massParentInu, const T massDaughterInu)
	Calculates the Q-value, \(Q\), of a double alpha decay 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::QValueDoubleAlphaDecayInJ (const T massParentInu, const T massDaughterInu)
	Calculates the Q-value, \(Q\), of a double alpha decay nuclear reaction in joules. The Q-value allows you to determine if a nuclear reaction is endothermic or exothermic. More...

Detailed Description

Function Documentation

QValueAlphaDecayInJ()

template<typename T >

T EGXPhys::QValueAlphaDecayInJ	(	const T	massParentInu,
		const T	massDaughterInu
	)

Calculates the Q-value, \(Q\) of an alpha decay 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, \(m(\ce{ ^{A-4}_{Z -2}Y_{N-2} })\), as well as the mass of the alpha particle \(m(\alpha)\):

\[Q = \left ( m(\ce{ ^{A}_{Z}X_{N} })-m(\ce{ ^{A-4}_{Z -2}Y_{N-2} })-m(\alpha) \right) c^2\]

See http://www.nndc.bnl.gov/qcalc/ and http://www.nuclear-power.net/nuclear-power/nuclear-reactions/q-value-energetics-nuclear-reactions/

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	\(m(\ce{ ^{A-4}_{Z -2}Y_{N-2} })\ (u)\) Mass of daughter nucleus in unified atomic mass units.

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.

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.

QValueElectronCaptureInJ() to calculate Q-Value for a electron capture reaction 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.

QValueAlphaDecayInMeV()

template<typename T >

T EGXPhys::QValueAlphaDecayInMeV	(	const T	massParentInu,
		const T	massDaughterInu
	)

Calculates the Q-value, \(Q\) of an alpha decay 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, \(m(\ce{ ^{A-4}_{Z -2}Y_{N-2} })\), as well as the mass of the alpha particle \(m(\alpha)\):

\[Q = \left ( m(\ce{ ^{A}_{Z}X_{N} })-m(\ce{ ^{A-4}_{Z -2}Y_{N-2} })-m(\alpha) \right) c^2\]

See http://www.nndc.bnl.gov/qcalc/ and http://www.nuclear-power.net/nuclear-power/nuclear-reactions/q-value-energetics-nuclear-reactions/

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	\(m(\ce{ ^{A-4}_{Z -2}Y_{N-2} })\ (u)\) Mass of daughter nucleus in unified atomic mass units.

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.

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.

QValueElectronCaptureInMeV() to calculate Q-Value for a electron capture reaction 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.

QValueDoubleAlphaDecayInJ()

template<typename T >

T EGXPhys::QValueDoubleAlphaDecayInJ	(	const T	massParentInu,
		const T	massDaughterInu
	)

Calculates the Q-value, \(Q\), of a double alpha decay 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, \(m(\ce{ ^{A-8}_{Z -4}Y_{N-4} })\), as well as the mass of two alpha particle \(m(\alpha)\):

\[Q = \left ( m(\ce{ ^{A}_{Z}X_{N} })-m(\ce{ ^{A-8}_{Z -4}Y_{N-4} })-2m(\alpha) \right) c^2\]

See http://www.nndc.bnl.gov/qcalc/ and http://www.nuclear-power.net/nuclear-power/nuclear-reactions/q-value-energetics-nuclear-reactions/

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	\(m(\ce{ ^{A-8}_{Z -4}Y_{N-4} })\ (u)\) Mass of daughter nucleus in unified atomic mass units.

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.

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.

QValueElectronCaptureInJ() to calculate Q-Value for a electron capture reaction 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.

QValueDoubleAlphaDecayInMeV()

template<typename T >

T EGXPhys::QValueDoubleAlphaDecayInMeV	(	const T	massParentInu,
		const T	massDaughterInu
	)

Calculates the Q-value, \(Q\), of a double alpha decay 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, \(m(\ce{ ^{A-8}_{Z -4}Y_{N-4} })\), as well as the mass of two alpha particle \(m(\alpha)\):

\[Q = \left ( m(\ce{ ^{A}_{Z}X_{N} })-m(\ce{ ^{A-8}_{Z -4}Y_{N-4} })-2m(\alpha) \right) c^2\]

See http://www.nndc.bnl.gov/qcalc/ and http://www.nuclear-power.net/nuclear-power/nuclear-reactions/q-value-energetics-nuclear-reactions/

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	\(m(\ce{ ^{A-8}_{Z -4}Y_{N-4} })\ (u)\) Mass of daughter nucleus in unified atomic mass units.

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.

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.

QValueElectronCaptureInMeV() to calculate Q-Value for a electron capture reaction 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.