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Formation of pyrophosphates across grain boundaries induces the formation of mismatched but oriented interfaces in silver phosphate polypods

The interfaces and their misfit defects determine the materials properties for a wide range of applications, such as electronic devices, photocatalysis, and mechanical engineering, etc. However, current understanding of atomic interfacial structures is limited. Here we discover a special interfacial structure, mismatched but oriented interface via two distinct facets. Transmission and scanning electron microscopy results suggest that, in Ag 3 PO 4 polypods structures, interfaces of {1 0 0} and {1 1 0}, ({1 0 0}/(1 1 0}), {1 0 0}/{1 1 1}, {1 1 0}/{1 1 1}, and {1 0 0}/{1 0 0}, etc., have a certain orientation relationship, corresponding to the energy minima and coincident site lattice of interfacial atoms as demonstrated by molecular dynamics simulations. Density functional theory demonstrates that the formation of pyrophosphate and/or phosphates rotation to bond across the interface compensate the lattice mismatch at the interfaces, as well as deformations of Ag-O bonds. Furthermore, our work opens up a new avenue for a much wider range of interfacial structures, allow for a higher diversity of structures, and shine light on tailoring crystal structures, morphologies, and the resulting properties.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗

Materials Data on Ag2O3 by Materials Project

Ag2O3 crystallizes in the cubic Pn-3m space group. The structure is three-dimensional. Ag3+ is bonded in a 6-coordinate geometry to six equivalent O2- atoms. All Ag–O bond lengths are 2.21 Å. O2- is bonded to four equivalent Ag3+ atoms to form a mixture of edge and corner-sharing OAg4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on AgO by Materials Project

AgO crystallizes in the tetragonal I4_1/a space group. The structure is three-dimensional. there are two inequivalent Ag2+ sites. In the first Ag2+ site, Ag2+ is bonded in a distorted linear geometry to six equivalent O2- atoms. There are a spread of Ag–O bond distances ranging from 2.15–2.96 Å. In the second Ag2+ site, Ag2+ is bonded in a distorted square co-planar geometry to four equivalent O2- atoms. All Ag–O bond lengths are 2.08 Å. O2- is bonded in a distorted trigonal non-coplanar geometry to five Ag2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ag3O4 by Materials Project

Ag3O4 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Ag+2.67+ sites. In the first Ag+2.67+ site, Ag+2.67+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are one shorter (2.07 Å) and three longer (2.09 Å) Ag–O bond lengths. In the second Ag+2.67+ site, Ag+2.67+ is bonded in a distorted square co-planar geometry to four O2- atoms. There are two shorter (2.07 Å) and two longer (2.09 Å) Ag–O bond lengths. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ag+2.67+ atoms. In the second O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ag+2.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ag3O by Materials Project

Ag3O crystallizes in the trigonal P-31m space group. The structure is two-dimensional and consists of one Ag3O sheet oriented in the (0, 0, 1) direction. Ag is bonded in an L-shaped geometry to two equivalent O atoms. Both Ag–O bond lengths are 2.34 Å. O is bonded to six equivalent Ag atoms to form edge-sharing OAg6 octahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ag2O by Materials Project

Ag2O is Cuprite structured and crystallizes in the cubic Pn-3m space group. The structure is three-dimensional. Ag1+ is bonded in a linear geometry to two equivalent O2- atoms. Both Ag–O bond lengths are 2.10 Å. O2- is bonded to four equivalent Ag1+ atoms to form corner-sharing OAg4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ag2O by Materials Project

Ag2O crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Ag1+ sites. In the first Ag1+ site, Ag1+ is bonded in a distorted bent 150 degrees geometry to two equivalent O2- atoms. Both Ag–O bond lengths are 2.17 Å. In the second Ag1+ site, Ag1+ is bonded in a linear geometry to two O2- atoms. There are one shorter (2.09 Å) and one longer (2.12 Å) Ag–O bond lengths. In the third Ag1+ site, Ag1+ is bonded in a linear geometry to two O2- atoms. There are one shorter (2.08 Å) and one longer (2.09 Å) Ag–O bond lengths. In the fourth Ag1+ site, Ag1+ is bonded in a single-bond geometry to one O2- atom. The Ag–O bond length is 2.19 Å. In the fifth Ag1+ site, Ag1+ is bonded in a distorted bent 150 degrees geometry to three O2- atoms. There are two shorter (2.20 Å) and one longer (2.95 Å) Ag–O bond lengths. In the sixth Ag1+ site, Ag1+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are two shorter (2.17 Å) and one longer (2.50 Å) Ag–O bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to five Ag1+ atoms. In the second O2- site, O2- is bonded in a distorted see-saw-like geometry to four Ag1+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to four Ag1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on AgO by Materials Project

AgO crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Ag2+ is bonded in a square co-planar geometry to four equivalent O2- atoms. There are two shorter (2.16 Å) and two longer (2.17 Å) Ag–O bond lengths. O2- is bonded to four equivalent Ag2+ atoms to form a mixture of edge and corner-sharing OAg4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ag2O3 by Materials Project

Ag2O3 crystallizes in the orthorhombic Fdd2 space group. The structure is three-dimensional. Ag3+ is bonded in a distorted square co-planar geometry to four O2- atoms. There are a spread of Ag–O bond distances ranging from 2.00–2.09 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three equivalent Ag3+ atoms. In the second O2- site, O2- is bonded in a water-like geometry to two equivalent Ag3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ag2O by Materials Project

Ag2O crystallizes in the orthorhombic Ibam space group. The structure is three-dimensional. there are three inequivalent Ag1+ sites. In the first Ag1+ site, Ag1+ is bonded in a linear geometry to two equivalent O2- atoms. Both Ag–O bond lengths are 2.13 Å. In the second Ag1+ site, Ag1+ is bonded in a linear geometry to two equivalent O2- atoms. Both Ag–O bond lengths are 2.12 Å. In the third Ag1+ site, Ag1+ is bonded to four equivalent O2- atoms to form distorted edge-sharing AgO4 tetrahedra. All Ag–O bond lengths are 2.43 Å. O2- is bonded in a 5-coordinate geometry to five Ag1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ag2O by Materials Project

Ag2O is trigonal omega structured and crystallizes in the trigonal P-3m1 space group. The structure is two-dimensional and consists of one Ag2O sheet oriented in the (0, 0, 1) direction. Ag1+ is bonded in a 3-coordinate geometry to three equivalent O2- atoms. All Ag–O bond lengths are 2.35 Å. O2- is bonded to six equivalent Ag1+ atoms to form edge-sharing OAg6 octahedra.

36 MATERIALS SCIENCE↗

Materials Data on AgO by Materials Project

AgO is Zincblende, Sphalerite structured and crystallizes in the cubic F-43m space group. The structure is three-dimensional. Ag2+ is bonded to four equivalent O2- atoms to form corner-sharing AgO4 tetrahedra. All Ag–O bond lengths are 2.19 Å. O2- is bonded to four equivalent Ag2+ atoms to form corner-sharing OAg4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on AgO by Materials Project

AgO crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Ag2+ sites. In the first Ag2+ site, Ag2+ is bonded in a distorted linear geometry to two equivalent O2- atoms. Both Ag–O bond lengths are 2.14 Å. In the second Ag2+ site, Ag2+ is bonded in a square co-planar geometry to four equivalent O2- atoms. There are two shorter (2.07 Å) and two longer (2.08 Å) Ag–O bond lengths. O2- is bonded in a distorted trigonal non-coplanar geometry to three Ag2+ atoms.

36 MATERIALS SCIENCE↗