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There are two main factors which determine the precision of a radiocarbon date.Modern accelerator mass spectrometry (used for radiocarbon dating purposes to separate radiocarbon atoms from stable carbon atoms and count them) is quite precise.
The following article is primarily based on a discussion of radiocarbon dating found in The Biblical Chronologist Volume 5, Number 1. Radiocarbon dating is based on a few relatively simple principles. The vast majority of these are C (pronounced "c twelve"), the stable isotope of carbon.
Radiocarbon is not stable; over time radiocarbon atoms decay into nitrogen atoms.