An in situ high-pressure high-temperature x-ray diffraction study on single-crystalline
icosahedral Zn–Mg–Dy up to 12.5(4) GPa at 873 K and powdered Co-rich decagonal
Al–Co–Ni up to 12.3(4) GPa at 973 K has been performed using a heatable diamond-anvil
cell and synchrotron radiation. Quantitative reciprocal-space reconstruction from image
plate data was used for evaluating the single-crystal data. The compressibility of the
materials at ambient temperature was determined from x-ray powder diffraction up to
30.3(2) GPa for icosahedral Zn–Mg–Dy and 61.4(1) GPa for Co-rich decagonal
Al–Co–Ni. The bulk modulus at zero pressure and its pressure derivative were
determined from fitting third-order Birch–Murnaghan equations of state as
K0 = 92(4) GPa,
K′ = 3.1(3) for icosahedral
Zn–Mg–Dy and K0 = 120(11) GPa, K′ = 7.1(7)
for Co-rich decagonal Al–Co–Ni, respectively. The compressibilities of the quasicrystals are
discussed with respect to their structure types and the available literature data. To a
first approximation, a linear dependency of the squared electron density at the
border of the Wigner–Seitz atomic cell from the ratio of the bulk modulus and the
molar volume was found. This behaviour is comparable to that of periodic alloys.