Polyselenides / Rare earth metals / Modulated structure / X-ray diffraction / Single crystal structure analysis Abstract. Crystals of the four new binary rare earth metal polyselenides LaSe 1.85 , CeSe 1.83 , NdSe 1.83 and SmSe 1.84 were obtained by flux reactions. Their two-dimensionally incommensurately modulated structures were solved from X-ray diffraction data. Structure models were established in super space group X4/n(-ab0)(ba0)00 with modulation wave vectors q 1 ¼ Àaa* þ bb* and q 2 ¼ ba* þ ab* and the centering vector (0, 0, 1 = 2 , 1 = 2 , 1 = 2 ). The unit cell parameters at T ¼ 293 K are a ¼ 4.216(1) A and c ¼ 17.048(2) A for LaSe 1.85 , a ¼ 4.178(1) A and c ¼ 16.942(3) A for CeSe 1.83 , a ¼ 4.123(1) A and c ¼ 16.792(2) A for NdSe 1.83 and a ¼ 4.080(1) A and c ¼ 16.672(2) A for SmSe 1.84 ; the components of the modulation wave vectors are a ¼ b ¼ 0.292(1) for LaSe 1.85 and CeSe 1.83 , and a ¼ b ¼ 0.293(1) for NdSe 1.83 and SmSe 1.84 , respectively. The modulation originates from a site occupancy wave caused by defects in planar selenium layers coupled to a displacive modulation.