Entropy-Assisted, Long-Period Stacking of Honeycomb Layers in an AlB 2 -Type Silicide.

Configurational entropy can impact crystallization processes, tipping the scales between structures of nearly equal internal energy. Using alloyed single crystals of Gd ₂ PdSi ₃ in the AlB ₂ -type structure, we explore the formation of complex layer sequences made from alternating, two-dimensional triangular and honeycomb slabs. A four-period and an eight-period stacking sequence are found to be very close in internal energy, the latter being favored by entropy associated with covering the full configuration space of interlayer bonds. Possible consequences of polytype formation on magnetism in Gd ₂ PdSi ₃ are discussed.