Theoretical explanation for the DNA cleavage by GO with cation: anti-cooperativity effect among the π⋯π, cation⋯π/σ and H-bonding interactions in cytosine⋯GO⋯M<sup>n+</sup> (M<sup>n+</sup> = Na<sup>+</sup>, Mg<sup>2+</sup>, Al<sup>3+</sup>)
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In order to reveal the nature of DNA cleavage by inorganic intercalator GO (graphene oxide) with cation, the cooperativity effects among the π⋯π, cation⋯π/σ and H-bonding interactions were evaluated in the cytosine⋯GO⋯M<sup>n+</sup> (M<sup>n+</sup> = Na<sup>+</sup>, Mg<sup>2+</sup>, Al<sup>3+</sup>) model systems using the M06-2X, MP2 and <i>ω</i> B97X-D methods with the 6-311++G(2d,p) and 6-311++G(3df,3pd) basis sets. The M<sup>n+</sup>⋯O (ether) and N–H⋯O interactions induce the formation of the π⋯π stacking between cytosine and GO, and the anti-cooperativity effect are dominant in controling of the aggregation process of cytosine, GO and M<sup>n+</sup>, which was confirmed by the AIM (atoms-in-molecules) and RDG (reduced density gradient) analyses. Furthermore, the solvent effects of H<sub>2</sub>O weaken greatly the anti-cooperativity effects. Thus, a deduction on the DNA cleavage by GO⋯cation with the intercalation mode is put forward: due to the anti-cooperativity effect and solvent effect, the π⋯π stacking is weakened in the complexes with Na<sup>+</sup> or broken in those with Mg<sup>2+</sup> or Al<sup>3+</sup>. Then the GO⋯Mg<sup>2+</sup> moiety is squeezed out from the intercalating sites, leading to an invalid cleavage of DNA, while Na<sup>+</sup> or Al<sup>3+</sup> is bound tightly to cytosine, with a notable DNA cleavage. This deduction was used to explain reasonably the previous experimental phenomena.



