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Specific activity : ウィキペディア英語版
Specific activity

Specific activity is the activity per quantity of a radionuclide and is a physical property of that radionuclide.
Activity is a quantity related to radioactivity. The SI unit of activity is the becquerel (Bq), equal to one reciprocal second.
Since the probability of radioactive decay for a given radionuclide is a fixed physical quantity (with some slight exceptions, see Changing decay rates), the number of decays that occur in a given time of a specific number of atoms of that radionuclide is also a fixed physical quantity (if there are large enough numbers of atoms to ignore statistical fluctuations).
Thus, specific activity is defined as the activity per quantity of atoms of a particular radionuclide. It is usually given in units of Bq/g, but another commonly used unit of activity is the curie (Ci) allowing the definition of specific activity in Ci/g.
== Half-life ==
Experimentally-measured specific activity can be used to calculate the half-life of a radionuclide.
Half-life (T1/2) is defined as the length of time for half
of a given quantity of radioactive atoms to undergo radioactive decay:
Or more generally:
Starting with ''N0'', atoms of an element, the number of atoms, ''N'',
remaining after time, ''t'', is given by:
: N=N_0\left(\frac\right)^
The natural log of both sides
: \ln(N)=\ln(N_0)+\left(\frac\right)\ln\left(\frac\right)
The derivative with respect to time, ''t''
: \frac\frac=\frac\right)}
Multiplying both sides by ''N''
: \frac=\frac\right)}
Yields
: \frac=\frac
''dN''/''dt'' represents the decay rate of atoms. The negative sign shows that the rate is negative, so the number of atoms is decreasing with time. Rearranging terms:
: T_=\frac }

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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