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The temperature dependence of lattice parameters  a  in the quasiperiodic plane and  c  in the periodic direction of decagonal Al 70.7 Co 13.3 Ni 16.0  was probed using X-ray powder diffraction in the temperature range 15–300 K. Both parameters were fitted by means of positions of 22 Bragg reflections for each temperature. Temperature dependences were modelled best by second order polynomials leading to linear thermal coefficients  α ( T ) = 8.1(33) · 10 –7 K –1  + 3.9(2)· 10 –8 K –2  T  in the quasiperiodic plane and  γ ( T ) = 1.7(6) · 10 –6 K –1  + 3.8(3) · 10 –8 K –2  T  in the periodic direction, respectively. Thus we found the anisotropy ratio  γ ( T )/ α ( T ) to decrease with increasing temperature from 1.10 (at 15 K) to 1.19 (at 300 K). Besides pecularities around 150 K indicating an intermediate phase formed by superordering, we observed deviations from the general smooth course between 15K and 50K for both lattice parameters.

Thermal expansion of decagonal Al 70.7 Co 13.3 Ni 16.0 in the temperature range 15–300 K