The static and dynamic magnetic properties and the specific heat of K
2Ni
2TeO
6 and Li
2Ni
2TeO
6 were examined and it was found that they undergo a long-range ordering at
TN = 22.8 and 24.4 K, respectively, but exhibit a strong short-range order. At high temperature, the magnetic susceptibilities of K
2Ni
2TeO
6 and Li
2Ni
2TeO
6 are described by a Curie–Weiss law, with Curie-Weiss temperatures Θ of approximately −13 and −20 K, respectively, leading to the effective magnetic moment of about 4.46 ± 0.01
μB per formula unit, as expected for Ni
2+ (
S = 1) ions. In the paramagnetic region, the ESR spectra of K
2Ni
2TeO
6 and Li
2Ni
2TeO
6 show a single Lorentzian-shaped line characterized by the isotropic effective
g-factor,
g = 2.19 ± 0.01. The energy-mapping analysis shows that the honeycomb layers of A
2Ni
2TeO
6 (A = K, Li) and Li
3Ni
2SbO
6 adopt a zigzag order, in which zigzag ferromagnetic chains are antiferromagnetically coupled, because the third nearest-neighbor spin exchanges are strongly antiferromagnetic while the first nearest-neighbor spin exchanges are strongly ferromagnetic, and that adjacent zigzag-ordered honeycomb layers prefer to be ferromagnetically coupled. The short-range order of the zigzag-ordered honeycomb lattices of K
2Ni
2TeO
6 and Li
2Ni
2TeO
6 is equivalent to that of an antiferromagnetic uniform chain, and is related to the short-range order of the ferromagnetic chains along the direction perpendicular to the chains.
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