Mean Lifetime

Functions
template<typename T >
T	EGXPhys::MeanLifetime (const T &decayConstant)
	Calculates the Half Life, \(t_{\frac{1}{2}}\), of a radioactive substance via the decay constant, \(\lambda\) . More...
template<typename T >
T	EGXPhys::MeanLifetimeViaHalfLife (const T &halfLife)
	Calculates the Half Life, \(t_{\frac{1}{2}}\), of a radioactive substance via the mean lifetime, \(\tau\). More...
template<typename T >
T	EGXPhys::MeanLifetimeViaDecayWidth (const T &decayWidth)
	Calculates the Half Life, \(t_{\frac{1}{2}}\), of a radioactive substance via the decay width, \(\Gamma\) . More...

Detailed Description

Function Documentation

MeanLifetime()

template<typename T >

T EGXPhys::MeanLifetime

(

const T &

decayConstant

)

Calculates the Half Life, \(t_{\frac{1}{2}}\), of a radioactive substance via the decay constant, \(\lambda\) .

The Half Life is the time required for the activity of a radioactive substance to decay to half of its initial value.

\[t_{\frac{1}{2}}=\frac{ln(2)}{\lambda}\]

See https://en.wikipedia.org/wiki/Half-life and http://hyperphysics.phy-astr.gsu.edu/hbase/Nuclear/halfli2.html, https://en.wikipedia.org/wiki/Radioactive_decay

Equation taken from "Introductory Nuclear Physics" (Krane, 1987), p. 161

Parameters

decayConstant

\(\lambda\ (\frac{1}{s})\) Decay constant. Fraction of radioactive substance that decays in 1 second.

Returns

\(t_{\frac{1}{2}}\ (s)\) Half life. Time required for the activity of a radioactive substance to decay to half of its initial value.

See also

DecayConstant() to calculate the decay constant.

HalfLifeViaMeanLifetime() to calculate half life using mean lifetime, \(\tau\).

HalfLifeViaDecayWidth() to calculate half life using decay width, \(\Gamma\).

MeanLifetimeViaDecayWidth()

template<typename T >

T EGXPhys::MeanLifetimeViaDecayWidth

(

const T &

decayWidth

)

Calculates the Half Life, \(t_{\frac{1}{2}}\), of a radioactive substance via the decay width, \(\Gamma\) .

The Half Life is the time required for the activity of a radioactive substance to decay to half of its initial value.

\[t_{\frac{1}{2}}=\frac{\hbar \ ln(2)}{\Gamma}\]

See http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/parlif.html

Equation taken from ????????

Parameters

decayWidth

\(\Gamma\ (eV)\) Decay Width also known as line width, natural line width and decay FWHM. The FWHM of the uncertainty in the measured energy of the radioactive decay.

Returns

\(t_{\frac{1}{2}}\ (s)\) Half Life. Time required for the activity of a radioactive substance to decay to half of its initial value.

See also

DecayWidth() to calculate the decay width.

HalfLife() to calculate half life using decay constant, \(\lambda\).

HalfLifeViaMeanLifetime() to calculate half life using mean lifetime, \(\tau\).

MeanLifetimeViaHalfLife()

template<typename T >

T EGXPhys::MeanLifetimeViaHalfLife

(

const T &

halfLife

)

Calculates the Half Life, \(t_{\frac{1}{2}}\), of a radioactive substance via the mean lifetime, \(\tau\).

The Half Life is the time required for the activity of a radioactive substance to decay to half of its initial value.

\[\tau= \tau \ ln(2)\]

See https://en.wikipedia.org/wiki/Half-life and http://hyperphysics.phy-astr.gsu.edu/hbase/Nuclear/halfli2.html, https://en.wikipedia.org/wiki/Radioactive_decay

Equation taken from "Introductory Nuclear Physics" (Krane, 1987), p. 161

Parameters

halfLife

\(\lambda\ (\frac{1}{s})\) Mean lifetime. Average time that a radioactive substance is likely to survive before it decays.

Returns

\(t_{\frac{1}{2}}\ (s)\) Half Life. Time required for the activity of a radioactive substance to decay to half of its initial value.

See also

MeanLifetime()

HalfLife() to calculate half life using decay constant, \(\lambda\).

HalfLifeViaDecayWidth() to calculate half life using decay width, \(\Gamma\).