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Stacking interactions between cyclohexane and benzene were studied in crystal structures from the Cambridge Structural Database and by ab initio calculations. Calculated at the very accurate CCSD(T)/CBS level of theory, the cyclohexane-benzene interaction energy is -3.27 kcal mol, which is significantly stronger than the interaction in the benzene dimer (-2.84 kcal mol) indicating the importance of aliphatic-aromatic interactions.

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Searching structures of porphyrin-containing proteins from the Protein Data Bank revealed that the pi system of every porphyrin ring is involved in XH/pi interactions, with most of the porphyrins having several interactions. Both five-membered pyrrole rings and six-membered chelate rings are involved in XH/pi interactions; the number of interactions with five-membered rings is larger than the number of interactions with six-membered rings. We found interactions with C-H and N-H groups as hydrogen-atom donors; however, the number of CH/pi interactions is much larger than the number of NH/pi interactions. The amino acids involved in the interactions show a high conservation score. Our results that every porphyrin is involved in XH/pi interactions and that amino acids involved in these interactions are highly conserved demonstrate that XH/pi interactions play an important role in porphyrin-protein stability.