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Figure 9
(a) The powder X-ray diffraction pattern of the Au56In28.5Eu15.5 iQC. (b) The selected-area electron diffraction pattern taken along the fivefold axis. The τ-scaling rule observed for the intense Bragg reflections confirms the formation of a primitive iQC. (c) The temperature dependence of the magnetic susceptibility (M/H) of Au56In28.5Eu15.5 below 20 K under ZFC and FC conditions. The inset shows the specific heat Cp of the same compound as a function of temperature, together with its temperature derivative dCp/dT. (d) The difference profile I(T = 3 K) − I(T = 10 K) in the low-angle region (2θ < 40°) of the neutron powder diffraction patterns. The blue vertical solid lines at the bottom indicate the positions of nuclear Bragg reflections expected for the icosahedral phase, indexed using 6D indices with |Q⊥| < 0.74 Å−1. The lattice constant (edge length of the 3D Penrose lattice) is a = 5.5351 (4) Å at T = 10 K. Violet solid lines represent the 6D indices with a doubled (magnetic) unit cell (|Q⊥| < 0.36 Å−1), both with a = 5.5351 Å. In total, three magnetic peaks (indicated by the arrows) were detected.

IUCrJ
Volume 13| Part 5| September 2026| Pages 552-579
ISSN: 2052-2525
https://doi.org/10.1107/S2052252526006263