cometadata/datacite-titles-descriptions-related-identifiers huggingface dataset:
DOI: 10.17188/1731625
title: Materials Data on ThMg(N3O13)2 by Materials Project

description: MgO8Th(NO3)6 crystallizes in the monoclinic P2_1/c space group. The structure is zero-dimensional and consists of two MgO8 clusters and two Th(NO3)6 clusters. In each MgO8 cluster, Mg is bonded in a distorted octahedral geometry to six O atoms. There are two shorter (2.08 Å) and four longer (2.16 Å) Mg–O bond lengths. There are four inequivalent O sites. In the first O site, O is bonded in a bent 120 degrees geometry to two O atoms. Both O–O bond lengths are 1.31 Å. In the second O site, O is bonded in a single-bond geometry to one Mg atom. In the third O site, O is bonded in an L-shaped geometry to one Mg and one O atom. In the fourth O site, O is bonded in an L-shaped geometry to one Mg and one O atom. In each Th(NO3)6 cluster, Th is bonded in a cuboctahedral geometry to twelve O atoms. There are a spread of Th–O bond distances ranging from 2.56–2.64 Å. There are three inequivalent N sites. In the first N site, N is bonded in a trigonal planar geometry to three O atoms. There are a spread of N–O bond distances ranging from 1.22–1.30 Å. In the second N site, N is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.25 Å) and two longer (1.27 Å) N–O bond length. In the third N site, N is bonded in a trigonal planar geometry to three O atoms. There are a spread of N–O bond distances ranging from 1.23–1.29 Å. There are nine inequivalent O sites. In the first O site, O is bonded in a distorted single-bond geometry to one Th and one N atom. In the second O site, O is bonded in a single-bond geometry to one N atom. In the third O site, O is bonded in a distorted single-bond geometry to one Th and one N atom. In the fourth O site, O is bonded in a distorted single-bond geometry to one Th and one N atom. In the fifth O site, O is bonded in a distorted single-bond geometry to one Th and one N atom. In the sixth O site, O is bonded in a single-bond geometry to one N atom. In the seventh O site, O is bonded in a distorted single-bond geometry to one Th and one N atom. In the eighth O site, O is bonded in a single-bond geometry to one N atom. In the ninth O site, O is bonded in a distorted single-bond geometry to one Th and one N atom.
DOI: 10.17188/1731626
title: Materials Data on CsEu by Materials Project

description: CsEu crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. Cs is bonded to six equivalent Cs and six equivalent Eu atoms to form CsCs6Eu6 cuboctahedra that share corners with eighteen equivalent CsCs6Eu6 cuboctahedra, edges with six equivalent CsCs6Eu6 cuboctahedra, edges with twelve equivalent EuCs6Eu6 cuboctahedra, faces with eight equivalent CsCs6Eu6 cuboctahedra, and faces with twelve equivalent EuCs6Eu6 cuboctahedra. All Cs–Cs bond lengths are 4.46 Å. All Cs–Eu bond lengths are 4.76 Å. Eu is bonded to six equivalent Cs and six equivalent Eu atoms to form EuCs6Eu6 cuboctahedra that share corners with eighteen equivalent EuCs6Eu6 cuboctahedra, edges with six equivalent EuCs6Eu6 cuboctahedra, edges with twelve equivalent CsCs6Eu6 cuboctahedra, faces with eight equivalent EuCs6Eu6 cuboctahedra, and faces with twelve equivalent CsCs6Eu6 cuboctahedra. All Eu–Eu bond lengths are 4.46 Å.
DOI: 10.17188/1731627
title: Materials Data on Cs3Re2N5 by Materials Project

description: Cs3Re2N5 crystallizes in the tetragonal I4_1 space group. The structure is three-dimensional. there are four inequivalent Cs1+ sites. In the first Cs1+ site, Cs1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of Cs–N bond distances ranging from 3.02–3.61 Å. In the second Cs1+ site, Cs1+ is bonded in a 2-coordinate geometry to five N3- atoms. There are a spread of Cs–N bond distances ranging from 3.00–3.57 Å. In the third Cs1+ site, Cs1+ is bonded in a 10-coordinate geometry to ten N3- atoms. There are a spread of Cs–N bond distances ranging from 3.56–3.71 Å. In the fourth Cs1+ site, Cs1+ is bonded to four N3- atoms to form distorted CsN4 tetrahedra that share corners with four ReN4 tetrahedra. There are two shorter (2.93 Å) and two longer (2.94 Å) Cs–N bond lengths. There are two inequivalent Re6+ sites. In the first Re6+ site, Re6+ is bonded to four N3- atoms to form ReN4 tetrahedra that share a cornercorner with one CsN4 tetrahedra and corners with three ReN4 tetrahedra. There are a spread of Re–N bond distances ranging from 1.77–1.94 Å. In the second Re6+ site, Re6+ is bonded to four N3- atoms to form ReN4 tetrahedra that share a cornercorner with one CsN4 tetrahedra and corners with three ReN4 tetrahedra. There are a spread of Re–N bond distances ranging from 1.77–1.94 Å. There are five inequivalent N3- sites. In the first N3- site, N3- is bonded in a 1-coordinate geometry to four Cs1+ and one Re6+ atom. In the second N3- site, N3- is bonded in a 1-coordinate geometry to five Cs1+ and one Re6+ atom. In the third N3- site, N3- is bonded in a 2-coordinate geometry to three Cs1+ and two equivalent Re6+ atoms. In the fourth N3- site, N3- is bonded in a 2-coordinate geometry to three Cs1+ and two equivalent Re6+ atoms. In the fifth N3- site, N3- is bonded in a distorted linear geometry to three Cs1+ and two Re6+ atoms.
DOI: 10.17188/1731628
title: Materials Data on AlSi3O8 by Materials Project

description: AlSi3O8 is quartz (alpha)-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.77 Å. There are three inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.65 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent AlO4 tetrahedra and corners with two SiO4 tetrahedra. There is one shorter (1.62 Å) and three longer (1.63 Å) Si–O bond length. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There is one shorter (1.61 Å) and three longer (1.64 Å) Si–O bond length. There are eight inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the second O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the third O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the fifth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the sixth O site, O is bonded in a bent 120 degrees geometry to one Al and one Si atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the eighth O site, O is bonded in a bent 150 degrees geometry to two Si atoms.
DOI: 10.17188/1731629
title: Materials Data on TeO6 by Materials Project

description: TeO6 is Copper structured and crystallizes in the cubic Fm-3m space group. The structure is zero-dimensional and consists of four TeO6 clusters. Te is bonded in an octahedral geometry to six equivalent O atoms. All Te–O bond lengths are 1.97 Å. O is bonded in a single-bond geometry to one Te atom.
DOI: 10.17188/1731630
title: Materials Data on Th3Ta by Materials Project

description: Th3Ta is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Th is bonded to eight equivalent Th and four equivalent Ta atoms to form distorted ThTh8Ta4 cuboctahedra that share corners with four equivalent TaTh12 cuboctahedra, corners with fourteen equivalent ThTh8Ta4 cuboctahedra, edges with six equivalent TaTh12 cuboctahedra, edges with twelve equivalent ThTh8Ta4 cuboctahedra, faces with four equivalent TaTh12 cuboctahedra, and faces with sixteen equivalent ThTh8Ta4 cuboctahedra. There are a spread of Th–Th bond distances ranging from 3.18–3.57 Å. There are two shorter (3.38 Å) and two longer (3.42 Å) Th–Ta bond lengths. Ta is bonded to twelve equivalent Th atoms to form TaTh12 cuboctahedra that share corners with six equivalent TaTh12 cuboctahedra, corners with twelve equivalent ThTh8Ta4 cuboctahedra, edges with eighteen equivalent ThTh8Ta4 cuboctahedra, faces with eight equivalent TaTh12 cuboctahedra, and faces with twelve equivalent ThTh8Ta4 cuboctahedra.
DOI: 10.17188/1731631
title: Materials Data on Li3Mn2F7 by Materials Project

description: Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations
DOI: 10.17188/1731632
title: Materials Data on GdFe4(CuO4)3 by Materials Project

description: GdFe4(CuO4)3 crystallizes in the cubic Im-3 space group. The structure is three-dimensional. Gd3+ is bonded to twelve equivalent O2- atoms to form GdO12 cuboctahedra that share faces with eight equivalent FeO6 octahedra. All Gd–O bond lengths are 2.61 Å. Fe3+ is bonded to six equivalent O2- atoms to form FeO6 octahedra that share corners with six equivalent FeO6 octahedra and faces with two equivalent GdO12 cuboctahedra. The corner-sharing octahedral tilt angles are 45°. All Fe–O bond lengths are 2.02 Å. Cu3+ is bonded in a square co-planar geometry to four equivalent O2- atoms. All Cu–O bond lengths are 1.88 Å. O2- is bonded in a 3-coordinate geometry to one Gd3+, two equivalent Fe3+, and one Cu3+ atom.
DOI: 10.17188/1731633
title: Materials Data on VH24C8S2N2O9 by Materials Project

description: Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations
DOI: 10.17188/1731634
title: Materials Data on Hg2TeS by Materials Project

description: Hg2TeS is Clathrate-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are two inequivalent Hg2+ sites. In the first Hg2+ site, Hg2+ is bonded to three equivalent Te2- and one S2- atom to form corner-sharing HgTe3S tetrahedra. All Hg–Te bond lengths are 2.83 Å. The Hg–S bond length is 2.58 Å. In the second Hg2+ site, Hg2+ is bonded to one Te2- and three equivalent S2- atoms to form corner-sharing HgTeS3 tetrahedra. The Hg–Te bond length is 2.87 Å. All Hg–S bond lengths are 2.70 Å. Te2- is bonded to four Hg2+ atoms to form TeHg4 tetrahedra that share corners with six equivalent TeHg4 tetrahedra and corners with six equivalent SHg4 tetrahedra. S2- is bonded to four Hg2+ atoms to form SHg4 tetrahedra that share corners with six equivalent TeHg4 tetrahedra and corners with six equivalent SHg4 tetrahedra.
DOI: 10.17188/1731635
title: Materials Data on Li6FeO4 by Materials Project

description: Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations
DOI: 10.17188/1731636
title: Materials Data on YbGe2Pt by Materials Project

description: YbPtGe2 crystallizes in the orthorhombic Imm2 space group. The structure is three-dimensional. there are two inequivalent Yb sites. In the first Yb site, Yb is bonded in a 8-coordinate geometry to six equivalent Pt and nine Ge atoms. There are four shorter (3.24 Å) and two longer (3.29 Å) Yb–Pt bond lengths. There are a spread of Yb–Ge bond distances ranging from 3.02–3.55 Å. In the second Yb site, Yb is bonded in a 12-coordinate geometry to four equivalent Pt and ten Ge atoms. There are two shorter (3.25 Å) and two longer (3.26 Å) Yb–Pt bond lengths. There are a spread of Yb–Ge bond distances ranging from 3.31–3.47 Å. Pt is bonded in a 10-coordinate geometry to five Yb and five Ge atoms. There are a spread of Pt–Ge bond distances ranging from 2.51–2.64 Å. There are three inequivalent Ge sites. In the first Ge site, Ge is bonded in a 9-coordinate geometry to six Yb, two equivalent Pt, and one Ge atom. The Ge–Ge bond length is 2.42 Å. In the second Ge site, Ge is bonded in a 8-coordinate geometry to four Yb, three equivalent Pt, and one Ge atom. The Ge–Ge bond length is 2.65 Å. In the third Ge site, Ge is bonded in a 2-coordinate geometry to five Yb and two equivalent Pt atoms.
DOI: 10.17188/1731637
title: Materials Data on Mg8Fe3N8 by Materials Project

description: Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations
DOI: 10.17188/1731640
title: Materials Data on GdTe2 by Materials Project

description: GdTe2 crystallizes in the tetragonal P4/nmm space group. The structure is three-dimensional. Gd3+ is bonded in a 9-coordinate geometry to nine Te+1.50- atoms. There are a spread of Gd–Te bond distances ranging from 3.19–3.30 Å. There are two inequivalent Te+1.50- sites. In the first Te+1.50- site, Te+1.50- is bonded in a 8-coordinate geometry to four equivalent Gd3+ and four equivalent Te+1.50- atoms. All Te–Te bond lengths are 3.12 Å. In the second Te+1.50- site, Te+1.50- is bonded to five equivalent Gd3+ atoms to form a mixture of distorted corner and edge-sharing TeGd5 trigonal bipyramids.
DOI: 10.17188/1731641
title: Materials Data on NaMn3V4O12 by Materials Project

description: NaV4Mn3O12 crystallizes in the cubic Im-3 space group. The structure is three-dimensional. Na1+ is bonded to twelve equivalent O2- atoms to form NaO12 cuboctahedra that share faces with eight equivalent VO6 octahedra. All Na–O bond lengths are 2.69 Å. V+4.25+ is bonded to six equivalent O2- atoms to form VO6 octahedra that share corners with six equivalent VO6 octahedra and faces with two equivalent NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 35°. All V–O bond lengths are 1.96 Å. Mn2+ is bonded in a distorted square co-planar geometry to four equivalent O2- atoms. All Mn–O bond lengths are 2.05 Å. O2- is bonded in a 3-coordinate geometry to one Na1+, two equivalent V+4.25+, and one Mn2+ atom.
DOI: 10.17188/1731642
title: Materials Data on NdTl2InTe4 by Materials Project

description: NdTl2InTe4 crystallizes in the tetragonal I-42m space group. The structure is three-dimensional. Nd3+ is bonded to four equivalent Te2- atoms to form distorted NdTe4 tetrahedra that share edges with two equivalent InTe4 tetrahedra. All Nd–Te bond lengths are 3.09 Å. Tl1+ is bonded in a 10-coordinate geometry to eight equivalent Te2- atoms. There are four shorter (3.57 Å) and four longer (3.77 Å) Tl–Te bond lengths. In3+ is bonded to four equivalent Te2- atoms to form InTe4 tetrahedra that share edges with two equivalent NdTe4 tetrahedra. All In–Te bond lengths are 2.85 Å. Te2- is bonded in a 6-coordinate geometry to one Nd3+, four equivalent Tl1+, and one In3+ atom.
DOI: 10.17188/1731643
title: Materials Data on Tb5BiAu2 by Materials Project

description: Tb5Au2Bi crystallizes in the tetragonal I4/mcm space group. The structure is three-dimensional. there are two inequivalent Tb sites. In the first Tb site, Tb is bonded to four equivalent Au and two equivalent Bi atoms to form corner-sharing TbBi2Au4 octahedra. The corner-sharing octahedra tilt angles range from 0–49°. All Tb–Au bond lengths are 3.18 Å. Both Tb–Bi bond lengths are 3.30 Å. In the second Tb site, Tb is bonded in a 5-coordinate geometry to three equivalent Au and two equivalent Bi atoms. There are one shorter (3.03 Å) and two longer (3.04 Å) Tb–Au bond lengths. Both Tb–Bi bond lengths are 3.42 Å. Au is bonded in a 8-coordinate geometry to eight Tb atoms. Bi is bonded in a distorted q6 geometry to ten Tb atoms.
DOI: 10.17188/1731644
title: Materials Data on Y4S3N2 by Materials Project

description: Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations
DOI: 10.17188/1731645
title: Materials Data on Li8SbO3 by Materials Project

description: Li8SbO3 crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Li1+ is bonded to one Sb2- and three equivalent O2- atoms to form a mixture of distorted corner and edge-sharing LiSbO3 tetrahedra. The Li–Sb bond length is 2.49 Å. All Li–O bond lengths are 2.21 Å. Sb2- is bonded in a body-centered cubic geometry to eight equivalent Li1+ atoms. O2- is bonded in a body-centered cubic geometry to eight equivalent Li1+ atoms.
DOI: 10.17188/1731646
title: Materials Data on NiSb2H8(O3F4)2 by Materials Project

description: NiSb2H8(O3F4)2 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. Ni2+ is bonded in an octahedral geometry to six O2- atoms. There is four shorter (1.85 Å) and two longer (1.88 Å) Ni–O bond length. Sb5+ is bonded in a 5-coordinate geometry to five F1- atoms. There are a spread of Sb–F bond distances ranging from 1.96–2.46 Å. There are four inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the second H1+ site, H1+ is bonded in a distorted single-bond geometry to one O2- and one F1- atom. The H–O bond length is 1.01 Å. The H–F bond length is 1.63 Å. In the third H1+ site, H1+ is bonded in a linear geometry to one O2- and one F1- atom. The H–O bond length is 1.02 Å. The H–F bond length is 1.49 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted water-like geometry to one Ni2+ and one H1+ atom. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ni2+ and two H1+ atoms. In the third O2- site, O2- is bonded in a distorted water-like geometry to one Ni2+ and one H1+ atom. There are four inequivalent F1- sites. In the first F1- site, F1- is bonded in a 2-coordinate geometry to one Sb5+ and one H1+ atom. In the second F1- site, F1- is bonded in a distorted bent 120 degrees geometry to one Sb5+ and one H1+ atom. In the third F1- site, F1- is bonded in a distorted bent 120 degrees geometry to two equivalent Sb5+ atoms. In the fourth F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom.
DOI: 10.17188/1731647
title: Materials Data on Hf6CCl14 by Materials Project

description: Hf6CCl14 crystallizes in the orthorhombic Cmce space group. The structure is three-dimensional. there are two inequivalent Hf sites. In the first Hf site, Hf is bonded to one C and five Cl atoms to form a mixture of edge and corner-sharing HfCCl5 octahedra. The corner-sharing octahedra tilt angles range from 0–46°. The Hf–C bond length is 2.28 Å. There are a spread of Hf–Cl bond distances ranging from 2.49–2.66 Å. In the second Hf site, Hf is bonded to one C and five Cl atoms to form a mixture of distorted edge and corner-sharing HfCCl5 octahedra. The corner-sharing octahedra tilt angles range from 0–46°. The Hf–C bond length is 2.20 Å. There are a spread of Hf–Cl bond distances ranging from 2.49–3.04 Å. C is bonded in an octahedral geometry to six Hf atoms. There are five inequivalent Cl sites. In the first Cl site, Cl is bonded in an L-shaped geometry to two Hf atoms. In the second Cl site, Cl is bonded in a distorted bent 150 degrees geometry to two equivalent Hf atoms. In the third Cl site, Cl is bonded in an L-shaped geometry to two equivalent Hf atoms. In the fourth Cl site, Cl is bonded in a 3-coordinate geometry to three Hf atoms. In the fifth Cl site, Cl is bonded in an L-shaped geometry to two Hf atoms.
DOI: 10.17188/1731648
title: Materials Data on Rb3BiF6 by Materials Project

description: Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations
DOI: 10.17188/1731649
title: Materials Data on Li2Mn4P4O15 by Materials Project

description: Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations
DOI: 10.17188/1731650
title: Materials Data on Mg2Pb by Materials Project

description: Mg2Pb is Cotunnite structured and crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded in a 5-coordinate geometry to five equivalent Pb atoms. There are a spread of Mg–Pb bond distances ranging from 3.05–3.37 Å. In the second Mg site, Mg is bonded to four equivalent Pb atoms to form a mixture of distorted edge and corner-sharing MgPb4 tetrahedra. There are a spread of Mg–Pb bond distances ranging from 2.89–3.04 Å. Pb is bonded in a 9-coordinate geometry to nine Mg atoms.
DOI: 10.17188/1731651
title: Materials Data on Er8In3Co by Materials Project

description: Er8CoIn3 crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are four inequivalent Er sites. In the first Er site, Er is bonded in a 3-coordinate geometry to one Co and four equivalent In atoms. The Er–Co bond length is 2.82 Å. There are two shorter (3.24 Å) and two longer (3.78 Å) Er–In bond lengths. In the second Er site, Er is bonded in a 4-coordinate geometry to one Co and four equivalent In atoms. The Er–Co bond length is 2.80 Å. There are a spread of Er–In bond distances ranging from 3.07–3.72 Å. In the third Er site, Er is bonded to one Co and three equivalent In atoms to form distorted corner-sharing ErIn3Co tetrahedra. The corner-sharing octahedra tilt angles range from 13–48°. The Er–Co bond length is 2.68 Å. All Er–In bond lengths are 3.20 Å. In the fourth Er site, Er is bonded to six equivalent In atoms to form distorted ErIn6 octahedra that share corners with six equivalent ErIn3Co tetrahedra and faces with two equivalent ErIn6 octahedra. There are three shorter (3.36 Å) and three longer (3.41 Å) Er–In bond lengths. Co is bonded in a 7-coordinate geometry to seven Er atoms. In is bonded in a 11-coordinate geometry to eleven Er atoms.
DOI: 10.17188/1731652
title: Materials Data on MnNb2Mo by Materials Project

description: Nb2MoMn crystallizes in the orthorhombic Immm space group. The structure is one-dimensional and consists of two Nb2MoMn ribbons oriented in the (1, 0, 0) direction. Nb is bonded in a linear geometry to one Mo and one Mn atom. The Nb–Mo bond length is 2.33 Å. The Nb–Mn bond length is 2.59 Å. Mo is bonded in a linear geometry to two equivalent Nb atoms. Mn is bonded in a linear geometry to two equivalent Nb atoms.