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Abstract:
Context. Carbon fractionation has been studied from a theoretical point of view with different models of time-dependent chemistry, including both isotope-selective photodissociation and low-temperature isotopic exchange reactions.<br>Aims. Recent chemical models predict that isotopic exchange reactions may lead to a depletion of <sup>13</sup>C in nitrile-bearing species, with <sup>12</sup>C/<sup>13</sup>C ratios two times higher than the elemental abundance ratio of 68 in the local interstellar medium. Since the carbon isotopic ratio is commonly used to evaluate the <sup>14</sup>N/<sup>15</sup>N ratios with the double-isotope method, it is important to study carbon fractionation in detail to avoid incorrect assumptions.<br>Methods. In this work, we implemented a gas-grain chemical model with new isotopic exchange reactions and investigated their introduction in the context of dense and cold molecular gas. In particular, we investigated the <sup>12</sup>C/<sup>13</sup>C ratios of HNC, HCN, and CN using a grid of models, with temperatures and densities ranging from 10 to 50 K and 2 × 10<sup>3</sup> to 2 × 10<sup>7</sup> cm<sup>−3</sup>, respectively.<br>Results. We suggest a possible <sup>13</sup>C exchange through the <sup>13</sup>C + C<sub>3</sub> → <sup>12</sup>C +<sup>13</sup>CC<sub>2</sub> reaction, which does not result in dilution, but rather in <sup>13</sup>C enhancement, for molecules that are formed starting from atomic carbon. This effect is efficient in a range of time between the formation of CO and its freeze-out on grains. Furthermore, the parameter-space exploration shows, on average, that the <sup>12</sup>C/<sup>13</sup>C ratios of nitriles are predicted to be a factor 0.8–1.9 different from the local <sub>12</sup>C/<sup>13</sup>C of 68 for high-mass star- forming regions. This result also affects the <sup>14</sup>N/<sup>15</sup>N ratio: a value of 330 obtained with the double-isotope method is predicted to vary in the range 260–630, up to 1150, depending on the physical conditions. Finally, we studied the <sup>12</sup>C/<sup>13</sup>C ratios of nitriles by varying the cosmic-ray ionisation rate, ζ: the <sup>12</sup>C/<sup>13</sup>C ratios increase with ζ because of secondary photons and cosmic-ray reactions.
