The entire process of Radiocarbon dating depends on the decay of carbon-14.This process begins when an organism is no longer able to exchange Carbon with their environment.  Before Radiocarbon dating was able to be discovered, someone had to find the existence of the C isotope.

In 1940 Martin Kamen and Sam Ruben at the University of California, Berkeley Radiation Laboratory did just that.

This discovery is in contrast to the carbon dating results for the Turin Shroud that was supposed to have wrapped Jesus’ body.

Carbon dating has shown that the cloth was made between 12 AD.

In 1960, Libby was awarded the Nobel Prize in chemistry for this work.

He demonstrated the accuracy of radiocarbon dating by accurately estimating the age of wood from a series of samples for which the age was known, including an ancient Egyptian royal barge dating from 1850 BCE.

Thus, the Turin Shroud was made over a thousand years after the death of Jesus.

The technique of radiocarbon dating was developed by Willard Libby and his colleagues at the University of Chicago in 1949.

The currently accepted value for the half-life of will remain; a quarter will remain after 11,460 years; an eighth after 17,190 years; and so on.

The equation relating rate constant to half-life for first order kinetics is $k = \dfrac \label$ so the rate constant is then $k = \dfrac = 1.21 \times 10^ \text^ \label$ and Equation $$\ref$$ can be rewritten as $N_t= N_o e^ \label$ or $t = \left(\dfrac \right) t_ = 8267 \ln \dfrac = 19035 \log_ \dfrac \;\;\; (\text) \label$ The sample is assumed to have originally had the same (rate of decay) of d/min.g (where d = disintegration).

Since atmospheric carbon 14 arises at about the same rate that the atom decays, the Earth's levels of carbon 14 have remained constant.

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