Magnetic susceptibility, specific heat, and neutron powder diffraction measurements have been performed on polycrystalline Li2Co(WO4)2 samples. Under zero magnetic field, two successive magnetic transitions at T
N1 ∼ 9.4 K and T
N2 ∼ 7.4 K are observed. The magnetic ordering temperatures gradually decrease as the magnetic field increases. Neutron diffraction reveals that Li2Co(WO4)2 enters an incommensurate magnetic state with a temperature dependent
k
between T
N1 and T
N2. The magnetic propagation vector locks-in to a commensurate value
k
= (1/2, 1/4, 1/4) below T
N2. The antiferromagnetic structure is refined at 1.7 K with Co2+ magnetic moment 2.8(1) μ
B, consistent with our first-principles calculations.
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