The structures of γ-and δ-K 4 P 2 O 7 are solved by X-ray powder diffraction (conventional laboratory X-ray and synchrotron data, respectively), both in hexagonal symmetry (a γ = 5.9645(3) Å, c γ = 14.4972(8) Å, V γ = 446.64(4) Å 3 at 300°C, Z γ = 2, space group P6 3 /mmc; a δ = 10.211 45(7) Å, c δ = 42.6958(4) Å, V δ = 3855.59(7) Å 3 at room temperature, Z δ = 18, space group P6 1 ) with cellsupercell relations a d ≈ a g 3 √ and c δ ≈ 3 c γ . In the experimental conditions, the expected β/γ transition previously announced at 486°C is not observed; the γ-form is stable at least up to the maximum temperature of our measurements (700°C). In the γ-form, similar to the orthorhombic form of Na 4 P 2 O 7 , idealized, the pyrophosphate group is in eclipsed conformation, the K + cations occupying three different coordinations. In the δδ-form, two of the three different [P 2 O 7 ] 4− groups are staggered and one eclipsed, the K + cations occupying 12 independent sites.