Statistical analysis of EBSD data and geometrical theory of classical and non-classical twinning in foraminiferal shell calcite

Abstract We describe a quantitative statistical and geometric analysis of classical and non-classical modes of twinning in the calcite produced by the biomineralization in the shell of the rotaliid foraminifer species Amphistegina lessonii. Foraminifera are responsible for about a quarter of the marine production of CaCO₃ and thus play a major role in the natural CO₂ sequestration into marine carbonate sediments. The shell calcite of rotaliid foraminifera is nano-twinned and thus quite distinct from inorganic calcite and from biogenic calcite produced by other groups of organisms. Previous work showed that foraminiferal calcite contains a high spatial density of twin walls of the classical 60°|<001 > = m.{001} twin but there was another peak in the range between 75° and 80° in the misorientation statistics of electron backscatter diffraction (EBSD) maps of the same specimen. We checked the significance of all maxima in misorientation by in-depth statistical analysis thus confirmed the 60°|<001 > penetration twinning and found that the 75°-80° maxima are related to new, non-classical, but systematically reoccurring oriented associations of calcite crystals with orientation relationships 78.2°|<991 > and 76.6°|<6–6 1>. If the nano-twinning provides an evolutionary advantage, it may be increasing strength and toughness of the feeble mineralized chamber walls of the organisms.