Radiocarbon, used for dating sediments, is produced at the top of the Earth's atmosphere by the
reaction of secondary neutrons with atmospheric nitrogen
Radiocarbon, specifically Carbon-14 ($^{14}$C), is a crucial isotope used in dating ancient organic materials and sediments. Its formation occurs in the Earth's upper atmosphere.
The process begins with primary cosmic rays entering the atmosphere. These high-energy particles collide with atomic nuclei in the atmosphere, creating a cascade of secondary particles, including neutrons.
The direct production of radiocarbon involves these secondary neutrons. When a secondary neutron interacts with an atom of atmospheric nitrogen-14 ($^{14}$N), a nuclear reaction takes place.
This reaction yields a Carbon-14 ($^{14}$C) atom and a proton (p). The specific nuclear equation is:
$ ^{14}\text{N} + \text{n} \rightarrow ^{14}\text{C} + \text{p} $
This confirms that the reaction of secondary neutrons with atmospheric nitrogen is the source of radiocarbon.

In the above diagram, A, B and C represent, respectively, the tropospheric concentrations of