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If we know what the original ratios of C14 to C12 were in the organism when it died, and if we know that the sample has not been contaminated by contact with other carbon since its death, we should be able to calculate when it died by its C14 to C12 ratio.
As you might guess, radioactive carbon (C) is quite rare.
Most radiocarbon dating labs have liquid scintillation counters for radiometric dating and accelerator mass spectrometers for AMS dating.
The history of radiocarbon dating goes back to 1949, where it was introduced to the world by Willard Libby.
It follows that the older a date is, even within this 'limit', the greater are the doubts about the date's accuracy.
PROBLEMS WITH RADIOCARBON DATING During the last 30 years, a new method of determining C14/C12 ratios has been developed.