Parallel average calculation via formation of organic mixed crystals

We previously reported that the mixtures of 1-naphthylmethylammonium (NMA) salts of n-fatty acids with the different lengths of the methylene group form multi-component organic alloys. The d-spacings of the alloys in XRD provided the averages of the metheylene groups. Therefore, this system is the first example of the numericalcalculation based on molecules as inputs of the number. Herein, we report the parallel average calculations performed by mixing four different salts that form the two mixed crystals selectively from two pairs of the salts. For example, the quaternary mixture of [4], [5], [13] and [14] provided two mixed crystals that have the intermediate d-spacings with length of 4.5 and 13.5. They indicate formation of the eutectic mixture of the two pairs of the mixed crystals. High-fidelity control of self and non-self recognitions enables us to control the mixing behaviours of multi-component mixtures in the solid state.