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High-angle annular dark-field scanning transmission electron microscopy is a powerful  Z -contrast technique able to depict the structural motifs in Pb-(Bi-Sb)-sulfosalts. Using two homologs from the kobellite homologous series, a group of “chessboard derivative structures,” represented by Bi-, and Sb-rich pairs of natural phases (the kobellite-tintinaite isotypic series and giessenite-izoklakeite homeotypic series), we visualize the slabs underpinning crystal structural modularity for the  N  = 2 homolog kobellite and the  N  = 4 homolog, in this case a Bi-rich izoklakeite [Sb/(Sb+Bi) = 0.35]. The homolog number,  N , can be readily calculated as  N  = n 1 /6 – 1 and  N  = n 2 /4, where n 1  and n 2  are the numbers of atoms in the PbS- and SnS-motifs, respectively. Atom-scale imaging of thinned foils extracted in situ from samples for which compositional data are available also reveals syntactic unit-cell scale intergrowths on [001] zone axis with  a  kobeiiite  ∥  b  izoidakefa . These are as small as half-unit cells of  b  izokiakeite  and one-unit cell  a  kobellite . Replacement relationships are also observed as irregular slabs of kobellite “intruding” into izoklakeite. Both banded and irregular intergrowths account for the compositional fields measured at the micrometer scale.

Chessboard structures: Atom-scale imaging of homologs from the kobellite series