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half-life
the time taken for half the radioactive nuclei in a sample to decay
the relationship between the number of undecayed nuclei and time
the number of undecayed nuclei decreases exponentially with time
activity
the rate of nuclei decay
decay constant
the probability of a radioactive nucleus decaying per unit time
the formula for activity
A = λN
activity (Bq) = decay constant (s-1) × number of undecayed nuclei
the relationship between activity and the number of unndecayed nuclei
activity is directly proportional to the number of undecayed nuclei
the formula including decay constant and half-life
λt(1/2) = ln(2)
decay constant (s-1) × half-life of the isotope (s) = natural logarithm of 2
the relationship between decay constant and half-life
decay constant is inversely proportional to the half-life of an isotope
the formula for the number of undecayed nuclei
N = N0e^-λt
number of undecayed nuclei = initial number of undecayed nuclei x e^-decay constant (s-1) × time (s)
the formula for activity not including the number of undecayed nuclei
A = A0e^-λt
activity (Bq) = initial activity (Bq) x e^-decay constant (s-1) x time (s)