Summary statistics for the binary, ternary and quaternary chemical compounds generated are given in This pattern is more extreme in ternary compounds, where only 0.03% are standard, and the number of interesting compounds is negligible. The quaternary compounds continue this trend, with a mere 0.00% being standard or interesting, and 82.8% falling into the unlikely category. Significantly, the data reveals an increase in missing compounds from the MP database across the complexity spectrum: 4.4% in binary, 13.9% in ternary, and 17.2% in quaternary. This escalation may suggest that as the complexity of the compounds grows, the probability of their synthesis or identification of novel stable crystal materials decreases. Concurrently, the potential for discovering new crystalline materials increases, as evidenced by the larger missing category in higher-order compounds. The statistics hint at unexplored territories in materials science, particularly for ternary and quaternary compounds. A Periodic Table including the elements that commonly appear in binary compounds allowable by the chemical filters is shown in Figure . Elements with a greater number of oxidation states (accessible species) are more abundant. Among the non-metallic elements, carbon (C), nitrogen (N), oxygen (O), silicon (Si), phosphorus (P), sulfur (S), chlorine (Cl), and germanium (Ge) are notable for their multiple accessible oxidation states. This enables them to participate in a diverse range of chemical compositions while maintaining charge neutrality. The same is true for transition metals such as chromium (Cr), manganese (Mn) and iron (Fe). Furthermore, elements with high electronegativity values, such as fluorine (F) and oxygen (O), are also favoured by the filters. F with an electronegativity of 3.44 and O with 3.98, despite having only one and two negative oxidation states, respectively, are likely to pass the SMACT filters as stable anions. In summary, elements with either many oxidation states or high electronegativity are favourable to form more inorganic compounds.