Transition from a phase-segregated state to single-phase incommensurate sodium ordering in Na_xCoO_2 with x \approx 0.53
R. Feyerherm, E. Dudzik, S. Valencia, A. U. B. Wolter, C. J. Milne, S., Landsgesell, D. Alber, and D. N. Argyriou

TL;DR
This study uses synchrotron X-ray diffraction to investigate sodium ordering in Na_xCoO_2 near x=0.53, revealing a temperature-dependent transition from incommensurate to phase-segregated states with distinct superstructures.
Contribution
It provides detailed insights into the temperature-driven transition from incommensurate to phase-separated sodium ordering in Na_xCoO_2 around x=0.53.
Findings
Incommensurate sodium ordering exists between 220 K and 430 K.
Reversible phase segregation occurs below 220 K into two superstructures.
The transition from incommensurate to commensurate phases is intrinsic near x=0.5+0.03.
Abstract
Synchrotron X-ray diffraction investigations of two single crystals of Na_xCoO_2 from different batches with composition x = 0.525-0.530 reveal homogeneous incommensurate sodium ordering with propagation vector (0.53 0.53 0) at room-temperature. The incommensurate (qq0) superstructure exists between 220 K and 430 K. The value of q varies between q = 0.514 and 0.529, showing a broad plateau at the latter value between 260 K and 360 K. On cooling, unusual reversible phase segregation into two volume fractions is observed. Below 220 K, one volume fraction shows the well-known commensurate orthorhombic x = 0.50 superstructure, while a second volume fraction with x = 0.55 exhibits another commensurate superstructure, presumably with a 6a x 6a x c hexagonal supercell. We argue that the commensurate-to-incommensurate transition is an intrinsic feature of samples with Na concentrations x = 0.5…
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