Felix Eder
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Research Subjects
Felix Eder has a total of 38 co-authors. Here are the top co-authors by number of shared publications:
- Matthias Weil
TU Wien, Institute for Chemical Technologies and Analytics, Division of Applied Solid State Chemistry, Getreidemarkt 9/E164-05-1, 1060 Vienna, Austria
16 shared publications Enrico Giannini
University of Geneva 24 Quai Ernest Ansermet
4 shared publications- Berthold Stöger
TU Wien, X-Ray Centre, Getreidemarkt 9/E057, 1060 Vienna, Austria
3 shared publications - Fabian O. von Rohr
Department of Quantum Matter Physics, University of Geneva, Geneva, Switzerland
3 shared publications - Catherine Witteveen
University of Geneva
2 shared publications - Roland Mathieu
Uppsala University
2 shared publications
Latest Publications
- Open Access
- 10 November 2026
- Published by American Chemical Society (ACS) in Nano Letters
Quasi-One-Dimensional Topological Band Structure and Van Hove Singularities in Monolayer TaIrTe4 from Laser μ-ARPES
Recent transport experiments reported a quantum spin Hall insulator phase in monolayer 1T-TaIrTe4 gated away from charge neutrality. This phase is not predicted by band structure calculations and has been attributed to an electronic instability induced by strong correlations at a putative Van Hove singularity. Here, we investigate the electronic structure of exfoliated monolayer 1T-TaIrTe4 using microfocus laser angle resolved photoemission. We find a strongly anisotropic band structure susceptible to density wave instabilities. Our data further reveal a saddle point singularity in the density of states. However, we find that the saddle point lies at a density for which linear transport experiments found no anomalies. Moreover, the quasiparticle line widths suggest weak electron correlations only. This points to a secondary role of Van Hove singularities and electron correlations in the transport phase diagram of monolayer 1T-TaIrTe4.
- 10 November 2026
- Published by American Chemical Society (ACS) in Nano Letters
Open AccessQuasi-One-Dimensional Topological Band Structure and Van Hove Singularities in Monolayer TaIrTe4 from Laser μ-ARPES
Recent transport experiments reported a quantum spin Hall insulator phase in monolayer 1T-TaIrTe4 gated away from charge neutrality. This phase is not predicted by band structure calculations and has been attributed to an electronic instability induced by strong correlations at a putative Van Hove singularity. Here, we investigate the electronic structure of exfoliated monolayer 1T-TaIrTe4 using microfocus laser angle resolved photoemission. We find a strongly anisotropic band structure susceptible to density wave instabilities. Our data further reveal a saddle point singularity in the density of states. However, we find that the saddle point lies at a density for which linear transport experiments found no anomalies. Moreover, the quasiparticle line widths suggest weak electron correlations only. This points to a secondary role of Van Hove singularities and electron correlations in the transport phase diagram of monolayer 1T-TaIrTe4.
- 8 May 2026
- Published by American Chemical Society (ACS) in Crystal Growth & Design
- Vol. 26 (10) , 3994-4001
Resolving Growth-Induced Off-Stoichiometry in AgCrSe 2 Single Crystals
- 8 May 2026
- Published by American Chemical Society (ACS) in Crystal Growth & Design
- Vol. 26 (10) , 3994-4001
Resolving Growth-Induced Off-Stoichiometry in AgCrSe 2 Single Crystals
- 11 November 2025
- Published by American Chemical Society (ACS) in Chemistry of Materials
- Vol. 37 (22) , 9204-9211
Stoichiometry and Phase Control in K 1– x CrSe 2 via Self-Flux Synthesis
- 11 November 2025
- Published by American Chemical Society (ACS) in Chemistry of Materials
- Vol. 37 (22) , 9204-9211
Stoichiometry and Phase Control in K 1– x CrSe 2 via Self-Flux Synthesis
- 30 January 2025
- Published by American Chemical Society (ACS) in Journal of the American Chemical Society
- Vol. 147 (6) , 4896-4903
Structural Modulation and Enhanced Magnetic Ordering in Incommensurate K1–xCrSe2 Crystals
Layered delafossite-type compounds and related transition metal dichalcogenides, characterized by their triangular net structures, serve as prototypical systems for exploring the intricate interplay between crystal structure and magnetic behavior. Herein, we report on the discovery of the compound K1-xCrSe2 (x ≈ 0.13), an incommensurately modulated phase. Single crystals of this compound were grown for the first time using a K/Se self-flux. We find a monoclinic crystal structure with incommensurate modulation that can be rationalized by a 3 + 1-dimensional model. This modulation compensates for the under-stoichiometry of K cations, creating pronounced undulations in the CrSe2 layers. Our anisotropic magnetization measurements reveal that K1-xCrSe2 undergoes a transition to a long-range magnetically ordered state below TN = 133 K, a temperature 1.6 to 3.3 times higher than in earlier reported KCrSe2 compounds. Our findings open new avenues for tuning the magnetic properties of these layered materials through structural modulation.
- 30 January 2025
- Published by American Chemical Society (ACS) in Journal of the American Chemical Society
- Vol. 147 (6) , 4896-4903
Structural Modulation and Enhanced Magnetic Ordering in Incommensurate K1–xCrSe2 Crystals
Layered delafossite-type compounds and related transition metal dichalcogenides, characterized by their triangular net structures, serve as prototypical systems for exploring the intricate interplay between crystal structure and magnetic behavior. Herein, we report on the discovery of the compound K1-xCrSe2 (x ≈ 0.13), an incommensurately modulated phase. Single crystals of this compound were grown for the first time using a K/Se self-flux. We find a monoclinic crystal structure with incommensurate modulation that can be rationalized by a 3 + 1-dimensional model. This modulation compensates for the under-stoichiometry of K cations, creating pronounced undulations in the CrSe2 layers. Our anisotropic magnetization measurements reveal that K1-xCrSe2 undergoes a transition to a long-range magnetically ordered state below TN = 133 K, a temperature 1.6 to 3.3 times higher than in earlier reported KCrSe2 compounds. Our findings open new avenues for tuning the magnetic properties of these layered materials through structural modulation.
- Open Access
- 5 November 2024
- Published by International Union of Crystallography (IUCr) in Acta Crystallographica Section E Crystallographic Communications
- Vol. 80 (12) , 1244-1249
The cadmium oxidotellurates(IV) Cd5(TeO3)4(NO3)2 and Cd4Te5O14
Monoclinic single crystals of Cd5(TeO3)4(NO3)2 (space group P21/c), pentacadmium tetrakis[oxidotellurate(IV)] dinitrate, and of Cd4Te5O14 (space group C2/c), tetracadmium pentaoxidotellurate(IV), were obtained under the same hydrothermal conditions. Whereas the crystal structure of Cd5(TeO3)4(NO3)2 is distinctively layered, that of Cd4Te5O14 exhibits a tri-periodic framework. In Cd5(TeO3)4(NO3)2, the three CdII atoms have coordination numbers (CN) of 7, 6 and 6. The two types of [CdO6] and the [CdO7] polyhedra [bond lengths range from 2.179 (3) to 2.658 (2) Å] share corners and edges, resulting in layers extending parallel to (100). Both TeIV atoms are coordinated by three oxygen atoms in a trigonal–pyramidal shape. The oxygen atoms of the isolated [TeO3] groups [bond lengths range from 1.847 (3) to 1.886 (3) Å] all are part of the cadmium–oxygen layer. The electron lone pairs ψ of the TeIV atoms are directed away from the layer on both sides. The available interlayer space is co-occupied by the nitrate group, which is directly connected with two of its O atoms to the layer whereas the third O atom is solely bonded to the N atom and points towards the adjacent layer. In Cd4Te5O14, all three unique CdII atoms are coordinated by six oxygen atoms, considering Cd—O distances from 2.235 (2) to 2.539 (2) Å. By edge- and corner-sharing, the distorted [CdO6] polyhedra form an open framework that is partially filled with three different stereochemically active TeIV atoms. All of them exhibit a CN of 4, with Te—O bonds in a range from 1.859 (2) to 2.476 (2) Å. The corresponding [TeO4] units are linked to each other by corner- and edge-sharing, forming infinite helical 1 ∞[Te10O28] chains extending parallel to [203]. The connectivity in the chains can be described as (...–⋄–⋄=⋄–⋄–⋄–⋄–⋄=⋄–⋄–⋄–...) n where ‘⋄’ denotes a [TeO4] unit, ‘–’ a linkage via corners and ‘=’ a linkage via edges. Such a structural motif is unprecedented in the crystal chemistry of oxidotellurate(IV) compounds.
- 5 November 2024
- Published by International Union of Crystallography (IUCr) in Acta Crystallographica Section E Crystallographic Communications
- Vol. 80 (12) , 1244-1249
Open AccessThe cadmium oxidotellurates(IV) Cd5(TeO3)4(NO3)2 and Cd4Te5O14
Monoclinic single crystals of Cd5(TeO3)4(NO3)2 (space group P21/c), pentacadmium tetrakis[oxidotellurate(IV)] dinitrate, and of Cd4Te5O14 (space group C2/c), tetracadmium pentaoxidotellurate(IV), were obtained under the same hydrothermal conditions. Whereas the crystal structure of Cd5(TeO3)4(NO3)2 is distinctively layered, that of Cd4Te5O14 exhibits a tri-periodic framework. In Cd5(TeO3)4(NO3)2, the three CdII atoms have coordination numbers (CN) of 7, 6 and 6. The two types of [CdO6] and the [CdO7] polyhedra [bond lengths range from 2.179 (3) to 2.658 (2) Å] share corners and edges, resulting in layers extending parallel to (100). Both TeIV atoms are coordinated by three oxygen atoms in a trigonal–pyramidal shape. The oxygen atoms of the isolated [TeO3] groups [bond lengths range from 1.847 (3) to 1.886 (3) Å] all are part of the cadmium–oxygen layer. The electron lone pairs ψ of the TeIV atoms are directed away from the layer on both sides. The available interlayer space is co-occupied by the nitrate group, which is directly connected with two of its O atoms to the layer whereas the third O atom is solely bonded to the N atom and points towards the adjacent layer. In Cd4Te5O14, all three unique CdII atoms are coordinated by six oxygen atoms, considering Cd—O distances from 2.235 (2) to 2.539 (2) Å. By edge- and corner-sharing, the distorted [CdO6] polyhedra form an open framework that is partially filled with three different stereochemically active TeIV atoms. All of them exhibit a CN of 4, with Te—O bonds in a range from 1.859 (2) to 2.476 (2) Å. The corresponding [TeO4] units are linked to each other by corner- and edge-sharing, forming infinite helical 1 ∞[Te10O28] chains extending parallel to [203]. The connectivity in the chains can be described as (...–⋄–⋄=⋄–⋄–⋄–⋄–⋄=⋄–⋄–⋄–...) n where ‘⋄’ denotes a [TeO4] unit, ‘–’ a linkage via corners and ‘=’ a linkage via edges. Such a structural motif is unprecedented in the crystal chemistry of oxidotellurate(IV) compounds.
- Open Access
- 8 August 2024
- Published by American Physical Society (APS) in Physical Review B
- Vol. 110 (5) , 054104
Vibrational properties of monoclinicThe vibrational properties of monoclinic dirutile-type (space group ) were investigated by means of Raman and infrared (IR) spectroscopy on stoichiometric single crystals and theoretical density-functional theory (DFT) calculations. Experimental in situ investigations under pressure and temperature variations up to 10.1 GPa and 750 K confirmed the singular phase stability of the monoclinic lattice and the absence of any structural transition. The IR spectra exhibit modes that are not observed in the Raman spectra, thus offering a comprehensive understanding of the vibrational behavior of the title compound. The symmetry and degeneracy of modes and their contributions to the overall vibrational spectrum of were analyzed using group theory. DFT calculations were performed both on a cluster level and based on the crystal structure of monoclinic in order to gain further insights into the vibrational properties. The calculated vibrational frequencies and modes were compared with the experimental data, allowing for a detailed investigation of the lattice dynamics and the nature of the vibrational modes in , and are corroborated with the analytical Wilson's F-G matrix method. These findings provide fundamental insights into the crystal symmetry and lattice dynamics of . The results are discussed and compared to those of isoformular systems.- 8 August 2024
- Published by American Physical Society (APS) in Physical Review B
- Vol. 110 (5) , 054104
Open AccessVibrational properties of monoclinicThe vibrational properties of monoclinic dirutile-type (space group ) were investigated by means of Raman and infrared (IR) spectroscopy on stoichiometric single crystals and theoretical density-functional theory (DFT) calculations. Experimental in situ investigations under pressure and temperature variations up to 10.1 GPa and 750 K confirmed the singular phase stability of the monoclinic lattice and the absence of any structural transition. The IR spectra exhibit modes that are not observed in the Raman spectra, thus offering a comprehensive understanding of the vibrational behavior of the title compound. The symmetry and degeneracy of modes and their contributions to the overall vibrational spectrum of were analyzed using group theory. DFT calculations were performed both on a cluster level and based on the crystal structure of monoclinic in order to gain further insights into the vibrational properties. The calculated vibrational frequencies and modes were compared with the experimental data, allowing for a detailed investigation of the lattice dynamics and the nature of the vibrational modes in , and are corroborated with the analytical Wilson's F-G matrix method. These findings provide fundamental insights into the crystal symmetry and lattice dynamics of . The results are discussed and compared to those of isoformular systems. - Open Access
- 28 May 2024
- Published by International Union of Crystallography (IUCr) in IUCrData
- Vol. 9 (5) , x240482
Ilmenite-type Na2(Fe2/3Te4/3)O6
Na2(Fe2/3Te4/3)O6 (Z = 3) or Na3(FeTe2)O9 (Z = 2), trisodium iron(III) ditellurium(VI) nonaoxide, adopts the ilmenite (FeTiO3, Z = 6) structure type with the Ti site (site symmetry 3.) replaced by Na and the Fe site (site symmetry 3.) replaced by a mixed-occupied (FeIII,TeVI) site in a Fe:Te ratio of 1:2. Whereas the [(Fe,Te)O6] octahedron is only slightly distorted, the [NaO6] octahedron shows much stronger distortions, as revealed by a larger spread of the bond lengths and some distortion parameters.
- 28 May 2024
- Published by International Union of Crystallography (IUCr) in IUCrData
- Vol. 9 (5) , x240482
Open AccessIlmenite-type Na2(Fe2/3Te4/3)O6
Na2(Fe2/3Te4/3)O6 (Z = 3) or Na3(FeTe2)O9 (Z = 2), trisodium iron(III) ditellurium(VI) nonaoxide, adopts the ilmenite (FeTiO3, Z = 6) structure type with the Ti site (site symmetry 3.) replaced by Na and the Fe site (site symmetry 3.) replaced by a mixed-occupied (FeIII,TeVI) site in a Fe:Te ratio of 1:2. Whereas the [(Fe,Te)O6] octahedron is only slightly distorted, the [NaO6] octahedron shows much stronger distortions, as revealed by a larger spread of the bond lengths and some distortion parameters.
- Open Access
- 26 April 2024
- Published by International Union of Crystallography (IUCr) in Acta Crystallographica Section E Crystallographic Communications
- Vol. 80 (5) , 527-531
Synthesis and crystal structure of (NH4)[Ni3(HAsO4)(AsO4)(OH)2]
The title compound, ammonium trinickel(II) hydrogen arsenate arsenate dihydroxide, was synthesized under hydrothermal conditions. Its crystal structure is isotypic with that of K[Cu3(HAsO4)(AsO4)(OH)2] and is characterized by pseudo-hexagonal (001) 2 ∞[Ni3As2O18/3(OH)6/3O1/1(OH)1/1]− layers formed from vertex- and edge-sharing [NiO4(OH)2] octahedra and [AsO3.5(OH)0.5] tetrahedra as the building units. The hydrogen atom of the OH group shows occupational disorder and was refined with a site occupation factor of 1/2, indicating the equal presence of [HAsO4]2– and [AsO4]3– groups. Strong asymmetric hydrogen bonds between symmetry-related (O,OH) groups of the arsenate units [O...O = 2.588 (18) Å] as well as hydrogen bonds accepted by these (O,OH) groups from OH groups bonded to the NiII atoms [O...O = 2.848 (12) Å] link adjacent layers. Additional consolidation of the packing is achieved through N—H...O hydrogen bonds from the ammonium ion, which is sandwiched between adjacent layers [N...O = 2.930 (7) Å] although the H atoms could not be located in the present study. The presence of the pseudo-hexagonal 2 ∞[Ni3As2O18/3(OH)6/3O1/1(OH)1/1]− layers may be the reason for the systematic threefold twinning of (NH4)[Ni3(HAsO4)(AsO4)(OH)2] crystals. Significant overlaps of the reflections of the respective twin domains complicated the structure solution and refinement.
- 26 April 2024
- Published by International Union of Crystallography (IUCr) in Acta Crystallographica Section E Crystallographic Communications
- Vol. 80 (5) , 527-531
Open AccessSynthesis and crystal structure of (NH4)[Ni3(HAsO4)(AsO4)(OH)2]
The title compound, ammonium trinickel(II) hydrogen arsenate arsenate dihydroxide, was synthesized under hydrothermal conditions. Its crystal structure is isotypic with that of K[Cu3(HAsO4)(AsO4)(OH)2] and is characterized by pseudo-hexagonal (001) 2 ∞[Ni3As2O18/3(OH)6/3O1/1(OH)1/1]− layers formed from vertex- and edge-sharing [NiO4(OH)2] octahedra and [AsO3.5(OH)0.5] tetrahedra as the building units. The hydrogen atom of the OH group shows occupational disorder and was refined with a site occupation factor of 1/2, indicating the equal presence of [HAsO4]2– and [AsO4]3– groups. Strong asymmetric hydrogen bonds between symmetry-related (O,OH) groups of the arsenate units [O...O = 2.588 (18) Å] as well as hydrogen bonds accepted by these (O,OH) groups from OH groups bonded to the NiII atoms [O...O = 2.848 (12) Å] link adjacent layers. Additional consolidation of the packing is achieved through N—H...O hydrogen bonds from the ammonium ion, which is sandwiched between adjacent layers [N...O = 2.930 (7) Å] although the H atoms could not be located in the present study. The presence of the pseudo-hexagonal 2 ∞[Ni3As2O18/3(OH)6/3O1/1(OH)1/1]− layers may be the reason for the systematic threefold twinning of (NH4)[Ni3(HAsO4)(AsO4)(OH)2] crystals. Significant overlaps of the reflections of the respective twin domains complicated the structure solution and refinement.
- Open Access
- 26 January 2024
- Published by International Union of Crystallography (IUCr) in Acta Crystallographica Section E Crystallographic Communications
- Vol. 80 (2) , 207-212
Cadmium phosphates Cd2(PO4)OH and Cd5(PO4)2(OH)4 crystallizing in mineral structures
Single crystals of two basic cadmium phosphates, dicadmium orthophosphate hydroxide, Cd2(PO4)OH, and pentacadmium bis(orthophosphate) tetrakis(hydroxide), Cd5(PO4)2(OH)4, were obtained under hydrothermal conditions. Cd2(PO4)OH adopts the triplite [(Mn,Fe)2(PO4)F] structure type. Its asymmetric unit comprises two Cd, one P and five O sites, all situated at the general Wyckoff position 8 f of space group I2/a; two of the O atoms are positionally disordered over two sites, and the H atom could not be localized. Disregarding the disorder, distorted [CdO6] polyhedra form a tri-periodic network by edge-sharing with neighbouring [CdO6] units and by vertex-sharing with [PO4] units. The site associated with the OH group is coordinated by four Cd atoms in a distorted tetrahedral manner forming 1 ∞[(OH)Cd4/2] chains parallel to [001]. The oxygen environment around the OH site suggests multiple acceptor atoms for possible O—H...O hydrogen-bonding interactions and is the putative reason for the disorder. Cd5(PO4)2(OH)4 adopts the arsenoclasite [Mn5(AsO4)2(OH)4] structure type. Its asymmetric unit comprises five Cd, two P, and twelve O sites all located at the general Wyckoff position 4 a of space group P212121; the H atoms could not be localized. The crystal structure of Cd5(PO4)2(OH)4 can be subdivided into two main sub-units. One consists of three edge-sharing [CdO6] octahedra, and the other of two edge- and vertex-sharing [CdO6] octahedra. Each sub-unit forms corrugated ribbons extending parallel to [100]. The two types of ribbons are linked into the tri-periodic arrangement through vertex-sharing and through common [PO4] tetrahedra. Quantitative structure comparisons are made with isotypic M 5(XO4)2(OH)4 crystal structures (M = Cd, Mn, Co; X = P, As, V).
- 26 January 2024
- Published by International Union of Crystallography (IUCr) in Acta Crystallographica Section E Crystallographic Communications
- Vol. 80 (2) , 207-212
Open AccessCadmium phosphates Cd2(PO4)OH and Cd5(PO4)2(OH)4 crystallizing in mineral structures
Single crystals of two basic cadmium phosphates, dicadmium orthophosphate hydroxide, Cd2(PO4)OH, and pentacadmium bis(orthophosphate) tetrakis(hydroxide), Cd5(PO4)2(OH)4, were obtained under hydrothermal conditions. Cd2(PO4)OH adopts the triplite [(Mn,Fe)2(PO4)F] structure type. Its asymmetric unit comprises two Cd, one P and five O sites, all situated at the general Wyckoff position 8 f of space group I2/a; two of the O atoms are positionally disordered over two sites, and the H atom could not be localized. Disregarding the disorder, distorted [CdO6] polyhedra form a tri-periodic network by edge-sharing with neighbouring [CdO6] units and by vertex-sharing with [PO4] units. The site associated with the OH group is coordinated by four Cd atoms in a distorted tetrahedral manner forming 1 ∞[(OH)Cd4/2] chains parallel to [001]. The oxygen environment around the OH site suggests multiple acceptor atoms for possible O—H...O hydrogen-bonding interactions and is the putative reason for the disorder. Cd5(PO4)2(OH)4 adopts the arsenoclasite [Mn5(AsO4)2(OH)4] structure type. Its asymmetric unit comprises five Cd, two P, and twelve O sites all located at the general Wyckoff position 4 a of space group P212121; the H atoms could not be localized. The crystal structure of Cd5(PO4)2(OH)4 can be subdivided into two main sub-units. One consists of three edge-sharing [CdO6] octahedra, and the other of two edge- and vertex-sharing [CdO6] octahedra. Each sub-unit forms corrugated ribbons extending parallel to [100]. The two types of ribbons are linked into the tri-periodic arrangement through vertex-sharing and through common [PO4] tetrahedra. Quantitative structure comparisons are made with isotypic M 5(XO4)2(OH)4 crystal structures (M = Cd, Mn, Co; X = P, As, V).
- Open Access
- 14 July 2023
- Published by International Union of Crystallography (IUCr) in Acta Crystallographica Section E Crystallographic Communications
- Vol. 79 (8) , 718-721
Crystal structure of K6[Zn(CO3)4]
The crystal structure of K6[Zn(CO3)4], hexapotassium tetracarbonatozincate(II), comprises four unique potassium cations (two located on a general position, and two on the twofold rotation axis of the space groupC2/c) and a [Zn(CO3)4]6−anion. The ZnIIatom of the latter is located on the twofold rotation axis and is surrounded in a slightly distorted tetrahedral manner by two pairs of monodentately binding carbonate groups, with Zn—O distances of 1.9554 (18) and 1.9839 (18) Å. Both carbonate groups exhibit a slight deviation from planarity, with the C atom being shifted by 0.008 (2) and 0.006 (3) Å, respectively, from the plane of the three O atoms. The coordination numbers of the potassium cations range from 6 to 8, using a threshold of 3.0 Å for K—O bonding interactions being significant. In the crystal structure, [KOx] polyhedra and [Zn(CO3)4]6−groups share O atoms to build up the framework structure.
- 14 July 2023
- Published by International Union of Crystallography (IUCr) in Acta Crystallographica Section E Crystallographic Communications
- Vol. 79 (8) , 718-721
Open AccessCrystal structure of K6[Zn(CO3)4]
The crystal structure of K6[Zn(CO3)4], hexapotassium tetracarbonatozincate(II), comprises four unique potassium cations (two located on a general position, and two on the twofold rotation axis of the space groupC2/c) and a [Zn(CO3)4]6−anion. The ZnIIatom of the latter is located on the twofold rotation axis and is surrounded in a slightly distorted tetrahedral manner by two pairs of monodentately binding carbonate groups, with Zn—O distances of 1.9554 (18) and 1.9839 (18) Å. Both carbonate groups exhibit a slight deviation from planarity, with the C atom being shifted by 0.008 (2) and 0.006 (3) Å, respectively, from the plane of the three O atoms. The coordination numbers of the potassium cations range from 6 to 8, using a threshold of 3.0 Å for K—O bonding interactions being significant. In the crystal structure, [KOx] polyhedra and [Zn(CO3)4]6−groups share O atoms to build up the framework structure.