A parallel average arithmetic by 2D organic alloys

We previously reported that the mixtures of 1-naphthylmethylammonium (NMA) salts of n-fatty acids with different alkyl chain length form multi-component organic alloys. The d-spacing of the alloys in XRD provided the average of the length of the alkyl chains. Therefore, this system is the first example of the numerical arithmetic based on molecules as inputs of the number. Herein, we report the parallel average calculations by mixing four different carboxylic acids that form the mixed crystals selectively from two pairs of the acid. For example, the quaternary mixture of C4s, C5s, C13s and C14s provided two mixed crystals that have the intermediate d-spacings with length of 4.5 and 13.5. They should be eutectic mixtures of the two pairs of the mixed crystals.