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All sourcesNASA NTRSDOE OSTI
DOE OSTI2023

DFT-based mesoscopic interactions of N adatoms on Cu(100)

The first-principles density functional theory (DFT) method is used to directly calculate the interactions of N atoms of various configurations on Cu(100) surfaces. This allows us to derive a mesoscopic substratemediated interaction model. We find that, for these Cu(100)-supported two-dimensional N clusters, oscillating substrate-mediated interactions obtained from an elastic eigenvector approach including a mesoscopic interacting range (called the mesoscopic model) have reasonable agreement with the DFT results. The DFT periodic boundary conditions are properly mapped into the mesoscopic model. The model is used to analyze the energies of c(2×2) square islands independent of their sizes. Previous experimental studies have shown that, in the low coverage region, N atoms agglomerate to isolated square islands of about 5 nm × 5 nm in size with a c(2×2) structure. With increasing coverage, those islands form regular patterns but do not touch below about 0.4 monolayers. From previous experiments and calculations, the square island pattern shows significant elastic effects which are now confirmed.

74 ATOMIC AND MOLECULAR PHYSICS↗
DOE OSTI2020

Materials Data on H15PdRuN9O11 by Materials Project

Pd(NO2)4RuN5H13O2H2O crystallizes in the triclinic P-1 space group. The structure is zero-dimensional and consists of two water molecules, two Pd(NO2)4 clusters, and two RuN5H13O2 clusters. In one of the Pd(NO2)4 clusters, Pd4+ is bonded in a square co-planar geometry to four N+0.33- atoms. There are two shorter (2.05 Å) and two longer (2.06 Å) Pd–N bond lengths. There are two inequivalent N+0.33- sites. In the first N+0.33- site, N+0.33- is bonded in a trigonal planar geometry to one Pd4+ and two O2- atoms. There is one shorter (1.24 Å) and one longer (1.26 Å) N–O bond length. In the second N+0.33- site, N+0.33- is bonded in a trigonal planar geometry to one Pd4+ and two O2- atoms. Both N–O bond lengths are 1.25 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one N+0.33- atom. In the second O2- site, O2- is bonded in a single-bond geometry to one N+0.33- atom. In the third O2- site, O2- is bonded in a single-bond geometry to one N+0.33- atom. In the fourth O2- site, O2- is bonded in a single-bond geometry to one N+0.33- atom. In one of the Pd(NO2)4 clusters, Pd4+ is bonded in a square co-planar geometry to four N+0.33- atoms. There are two shorter (2.05 Å) and two longer (2.06 Å) Pd–N bond lengths. There are two inequivalent N+0.33- sites. In the first N+0.33- site, N+0.33- is bonded in a trigonal planar geometry to one Pd4+ and two O2- atoms. Both N–O bond lengths are 1.25 Å. In the second N+0.33- site, N+0.33- is bonded in a trigonal planar geometry to one Pd4+ and two O2- atoms. There is one shorter (1.25 Å) and one longer (1.26 Å) N–O bond length. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one N+0.33- atom. In the second O2- site, O2- is bonded in a single-bond geometry to one N+0.33- atom. In the third O2- site, O2- is bonded in a single-bond geometry to one N+0.33- atom. In the fourth O2- site, O2- is bonded in a single-bond geometry to one N+0.33- atom. In each RuN5H13O2 cluster, Ru6+ is bonded in an octahedral geometry to five N+0.33- and one O2- atom. There is one shorter (1.75 Å) and four longer (2.13 Å) Ru–N bond length. The Ru–O bond length is 1.99 Å. There are five inequivalent N+0.33- sites. In the first N+0.33- site, N+0.33- is bonded in a linear geometry to one Ru6+ and one O2- atom. The N–O bond length is 1.17 Å. In the second N+0.33- site, N+0.33- is bonded in a trigonal non-coplanar geometry to one Ru6+ and three H1+ atoms. All N–H bond lengths are 1.03 Å. In the third N+0.33- site, N+0.33- is bonded in a distorted trigonal non-coplanar geometry to one Ru6+ and three H1+ atoms. All N–H bond lengths are 1.03 Å. In the fourth N+0.33- site, N+0.33- is bonded in a distorted trigonal non-coplanar geometry to one Ru6+ and three H1+ atoms. There is one shorter (1.02 Å) and two longer (1.03 Å) N–H bond length. In the fifth N+0.33- site, N+0.33- is bonded in a trigonal non-coplanar geometry to one Ru6+ and three H1+ atoms. All N–H bond lengths are 1.03 Å. There are thirteen 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 0.98 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one N+0.33- atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one N+0.33- atom. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one N+0.33- atom. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one N+0.33- atom. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one N+0.33- atom. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one N+0.33- atom. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one N+0.33- atom. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one N+0.33- atom. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one N+0.33- atom. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one N+0.33- atom. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one N+0.33- atom. In the thirteenth H1+ site, H1+ is bonded in a single-bond geometry to one N+0.33- atom. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to one Ru6+ and one H1+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to one N+0.33- atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Microsolvation in V + (H 2 O) n Clusters Studied with Selected-Ion Infrared Spectroscopy

Gas phase ion-molecule clusters of the form V + (H 2 O) n (n = 1-30) are produced by laser vaporization in a supersonic expansion. These ions are analyzed and mass-selected with a time-of-flight mass spectrometer and investigated with infrared laser photodissociation spectroscopy. The small clusters (n ≤ 7) are studied with argon tagging, while the larger clusters are studied via the elimination of water molecules. The vibrational spectra for the small clusters include only free O-H stretching vibrations, while larger clusters exhibit red-shifted hydrogen bonding vibrations. The spectral patterns reveal that the coordination around V + ions is completed with four water molecules. A symmetric square-planar structure forms for the n = 4 ion, and this becomes the core ion in larger structures. Clusters up to n = 8 have mostly two-dimensional structures, but hydrogen bonding networks evolve to three-dimensional structures in larger clusters. The free O-H vibration of AAD (acceptor-acceptor-donor) coordinated surface molecules converges to a frequency near that of bulk water by the cluster size of n = 30. However, the splitting of this vibration for AAD- versus AD-coordinated molecules is still different compared to other singly-charged or doubly-charged cation-water clusters. Finally, this indicates that cation identity and charge-site location in the cluster can produce discernible spectral differences for clusters in this size range.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗
DOE OSTI2021

Non-perturbative geometries for planar $ \mathcal{N} $ = 4 SYM amplitudes

There is a remarkable well-known connection between the G(4, n) cluster algebra and n-particle amplitudes in $ \mathcal{N} $ = 4 SYM theory. For n ≥ 8 two long-standing open questions have been to find a mathematically natural way to identify a finite list of amplitude symbol letters from among the infinitely many cluster variables, and to find an explanation for certain algebraic functions, such as the square roots of four-mass-box type, that are expected to appear in symbols but are not cluster variables. In this letter we use the notion of “stringy canonical forms” to construct polytopal realizations of certain compactifications of (the positive part of) the configuration space Conf n (P k–1 ) ≅ G(k, n)/T that are manifestly finite for all k and n. Some facets of these polytopes are naturally associated to cluster variables, while others are naturally associated to algebraic functions constructed from Lusztig’s canonical basis. For (k, n) = (4, 8) the latter include precisely the expected square roots, revealing them to be related to certain “overpositive” functions of the kinematical invariants.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
DOE OSTI2020

Materials Data on H6Pd(NO)4 by Materials Project

PdH6(NO)4 crystallizes in the triclinic P-1 space group. The structure is zero-dimensional and consists of one PdH6(NO)4 cluster. Pd2+ is bonded in a square co-planar geometry to four N atoms. There are two shorter (2.03 Å) and two longer (2.09 Å) Pd–N bond lengths. There are two inequivalent N sites. In the first N site, N is bonded in a trigonal planar geometry to one Pd2+ and two O2- atoms. There is one shorter (1.25 Å) and one longer (1.26 Å) N–O bond length. In the second N site, N is bonded in a distorted trigonal non-coplanar geometry to one Pd2+ and three H1+ atoms. All N–H bond lengths are 1.03 Å. There are three inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one N atom. In the second H1+ site, H1+ is bonded in a single-bond geometry to one N atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one N atom. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one N atom. In the second O2- site, O2- is bonded in a single-bond geometry to one N atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on H10PdC2S2(N4O3)2 by Materials Project

PdC2N7H10S2O3NO3 crystallizes in the monoclinic P2_1/c space group. The structure is zero-dimensional and consists of four nitric acid molecules and four PdC2N7H10S2O3 clusters. In each PdC2N7H10S2O3 cluster, Pd2+ is bonded in a square co-planar geometry to two N+0.50- and two S2- atoms. There are one shorter (2.09 Å) and one longer (2.10 Å) Pd–N bond lengths. Both Pd–S bond lengths are 2.28 Å. There are two inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a distorted trigonal planar geometry to two N+0.50- and one S2- atom. Both C–N bond lengths are 1.33 Å. The C–S bond length is 1.74 Å. In the second C4+ site, C4+ is bonded in a distorted trigonal planar geometry to two N+0.50- and one S2- atom. There is one shorter (1.33 Å) and one longer (1.34 Å) C–N bond length. The C–S bond length is 1.73 Å. There are seven inequivalent N+0.50- sites. In the first N+0.50- site, N+0.50- is bonded in a trigonal planar geometry to one C4+ and two H1+ atoms. There is one shorter (1.03 Å) and one longer (1.04 Å) N–H bond length. In the second N+0.50- site, N+0.50- is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.25 Å) and two longer (1.28 Å) N–O bond length. In the third N+0.50- site, N+0.50- is bonded in a distorted water-like geometry to one Pd2+ and two H1+ atoms. There is one shorter (1.03 Å) and one longer (1.04 Å) N–H bond length. In the fourth N+0.50- site, N+0.50- is bonded in a 2-coordinate geometry to one C4+ and one H1+ atom. The N–H bond length is 1.05 Å. In the fifth N+0.50- site, N+0.50- is bonded in a distorted water-like geometry to one Pd2+ and two H1+ atoms. There is one shorter (1.03 Å) and one longer (1.05 Å) N–H bond length. In the sixth N+0.50- site, N+0.50- is bonded in a trigonal planar geometry to one C4+ and two H1+ atoms. There is one shorter (1.02 Å) and one longer (1.03 Å) N–H bond length. In the seventh N+0.50- site, N+0.50- is bonded in a 2-coordinate geometry to one C4+ and one H1+ atom. The N–H bond length is 1.04 Å. There are ten inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one N+0.50- and one O2- atom. The H–O bond length is 1.73 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one N+0.50- atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one N+0.50- atom. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one N+0.50- atom. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one N+0.50- atom. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one N+0.50- atom. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one N+0.50- atom. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one N+0.50- atom. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one N+0.50- atom. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one N+0.50- atom. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded in a water-like geometry to one Pd2+ and one C4+ atom. In the second S2- site, S2- is bonded in a water-like geometry to one Pd2+ and one C4+ atom. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted water-like geometry to one N+0.50- and one H1+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to one N+0.50- atom. In the third O2- site, O2- is bonded in a single-bond geometry to one N+0.50- atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on PtS4N3Cl by Materials Project

PtN3S4Cl crystallizes in the orthorhombic Pnma space group. The structure is zero-dimensional and consists of four PtN3S4Cl clusters. Pt2+ is bonded in a distorted square co-planar geometry to one N+2.33+, two equivalent S2-, and one Cl1- atom. The Pt–N bond length is 1.99 Å. Both Pt–S bond lengths are 2.26 Å. The Pt–Cl bond length is 2.33 Å. There are two inequivalent N+2.33+ sites. In the first N+2.33+ site, N+2.33+ is bonded in a bent 120 degrees geometry to two S2- atoms. There is one shorter (1.57 Å) and one longer (1.63 Å) N–S bond length. In the second N+2.33+ site, N+2.33+ is bonded in a distorted trigonal planar geometry to one Pt2+ and two equivalent S2- atoms. Both N–S bond lengths are 1.69 Å. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted water-like geometry to one Pt2+ and one N+2.33+ atom. In the second S2- site, S2- is bonded in a water-like geometry to two N+2.33+ atoms. Cl1- is bonded in a distorted single-bond geometry to one Pt2+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CuH12(IN)4 by Materials Project

CuH12(NI)4 is alpha structured and crystallizes in the monoclinic C2/m space group. The structure is zero-dimensional and consists of two CuH12(NI)4 clusters. Cu2+ is bonded in a square co-planar geometry to four equivalent N+2.50- and two equivalent I1- atoms. All Cu–N bond lengths are 2.04 Å. Both Cu–I bond lengths are 3.27 Å. N+2.50- is bonded in a distorted trigonal non-coplanar geometry to one Cu2+ and three H1+ atoms. All N–H bond lengths are 1.03 Å. There are three inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one N+2.50- atom. In the second H1+ site, H1+ is bonded in a single-bond geometry to one N+2.50- atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one N+2.50- atom. There are two inequivalent I1- sites. In the first I1- site, I1- is bonded in a 2-coordinate geometry to one I1- atom. The I–I bond length is 3.34 Å. In the second I1- site, I1- is bonded in a 2-coordinate geometry to one Cu2+ and one I1- atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CuH8C4N8(ClO)2 by Materials Project

CuC4H8(N4O)2Cl2 is Cyanogen Chloride-derived structured and crystallizes in the triclinic P-1 space group. The structure is zero-dimensional and consists of two hydrochloric acid molecules and one CuC4H8(N4O)2 cluster. In the CuC4H8(N4O)2 cluster, Cu2+ is bonded in a square co-planar geometry to two equivalent N+2.50- and two equivalent O2- atoms. Both Cu–N bond lengths are 1.84 Å. Both Cu–O bond lengths are 1.80 Å. There are two inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a linear geometry to two N+2.50- atoms. There is one shorter (1.18 Å) and one longer (1.27 Å) C–N bond length. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three N+2.50- atoms. There are a spread of C–N bond distances ranging from 1.33–1.36 Å. There are four inequivalent N+2.50- sites. In the first N+2.50- site, N+2.50- is bonded in a distorted bent 150 degrees geometry to one Cu2+ and one C4+ atom. In the second N+2.50- site, N+2.50- is bonded in a bent 120 degrees geometry to two C4+ atoms. In the third N+2.50- site, N+2.50- is bonded in a trigonal planar geometry to one C4+ and two H1+ atoms. Both N–H bond lengths are 1.02 Å. In the fourth N+2.50- site, N+2.50- is bonded in a trigonal planar geometry to one C4+ and two H1+ atoms. Both N–H bond lengths are 1.03 Å. There are four inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one N+2.50- atom. In the second H1+ site, H1+ is bonded in a single-bond geometry to one N+2.50- atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one N+2.50- atom. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one N+2.50- atom. O2- is bonded in a single-bond geometry to one Cu2+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Pt(NCl)2 by Materials Project

Pt(NCl)2 crystallizes in the monoclinic P2_1/c space group. The structure is zero-dimensional and consists of two Pt(NCl)2 clusters. Pt2+ is bonded in a square co-planar geometry to two equivalent N and two equivalent Cl1- atoms. Both Pt–N bond lengths are 1.81 Å. Both Pt–Cl bond lengths are 2.35 Å. N is bonded in a single-bond geometry to one Pt2+ atom. Cl1- is bonded in a single-bond geometry to one Pt2+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CuH8C2(N6Cl)2 by Materials Project

CuC2H8(N6Cl)2 is Hg_xSn structured and crystallizes in the monoclinic P2_1/c space group. The structure is zero-dimensional and consists of two CuC2H8(N6Cl)2 clusters. Cu2+ is bonded in a distorted square co-planar geometry to two equivalent N+1.33- and two equivalent Cl1- atoms. Both Cu–N bond lengths are 1.98 Å. Both Cu–Cl bond lengths are 2.34 Å. C4+ is bonded in a trigonal planar geometry to three N+1.33- atoms. There are a spread of C–N bond distances ranging from 1.33–1.36 Å. There are six inequivalent N+1.33- sites. In the first N+1.33- site, N+1.33- is bonded in a distorted trigonal planar geometry to one C4+ and two N+1.33- atoms. There is one shorter (1.37 Å) and one longer (1.39 Å) N–N bond length. In the second N+1.33- site, N+1.33- is bonded in a 3-coordinate geometry to one Cu2+, one C4+, and one N+1.33- atom. The N–N bond length is 1.36 Å. In the third N+1.33- site, N+1.33- is bonded in a water-like geometry to one N+1.33- and two H1+ atoms. Both N–H bond lengths are 1.03 Å. In the fourth N+1.33- site, N+1.33- is bonded in a water-like geometry to two N+1.33- atoms. The N–N bond length is 1.29 Å. In the fifth N+1.33- site, N+1.33- is bonded in a water-like geometry to two N+1.33- atoms. In the sixth N+1.33- site, N+1.33- is bonded in a trigonal planar geometry to one C4+ and two H1+ atoms. There is one shorter (1.02 Å) and one longer (1.03 Å) N–H bond length. There are four inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one N+1.33- atom. In the second H1+ site, H1+ is bonded in a single-bond geometry to one N+1.33- atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one N+1.33- atom. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one N+1.33- atom. Cl1- is bonded in a single-bond geometry to one Cu2+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CoP2H15N5O8 by Materials Project

CoP2H12(NO2)4NHH2 crystallizes in the monoclinic Cc space group. The structure is zero-dimensional and consists of four ammonia molecules, four hydrogen molecules, and four CoP2H12(NO2)4 clusters. In each CoP2H12(NO2)4 cluster, Co2+ is bonded to four N+2.20- and one O2- atom to form CoN4O square pyramids that share a cornercorner with one PO4 tetrahedra. There are a spread of Co–N bond distances ranging from 1.96–2.01 Å. The Co–O bond length is 1.86 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.68 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoN4O square pyramid and a cornercorner with one PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.66 Å. There are four inequivalent N+2.20- sites. In the first N+2.20- site, N+2.20- is bonded in a distorted trigonal planar geometry to one Co2+ and two H1+ atoms. Both N–H bond lengths are 1.03 Å. In the second N+2.20- site, N+2.20- is bonded in a distorted trigonal non-coplanar geometry to one Co2+ and three H1+ atoms. There is one shorter (1.03 Å) and two longer (1.04 Å) N–H bond length. In the third N+2.20- site, N+2.20- is bonded in a distorted trigonal non-coplanar geometry to one Co2+ and three H1+ atoms. There is one shorter (1.02 Å) and two longer (1.04 Å) N–H bond length. In the fourth N+2.20- site, N+2.20- is bonded in a distorted trigonal non-coplanar geometry to one Co2+ and three H1+ atoms. All N–H bond lengths are 1.03 Å. There are twelve inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.04 Å) and one longer (1.54 Å) H–O bond length. In the second H1+ site, H1+ is bonded in a single-bond geometry to one N+2.20- atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one N+2.20- atom. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one N+2.20- atom. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one N+2.20- atom. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one N+2.20- atom. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one N+2.20- atom. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one N+2.20- atom. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one N+2.20- atom. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one N+2.20- atom. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one N+2.20- atom. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one N+2.20- atom. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one P5+ and one O2- atom. The O–O bond length is 1.49 Å. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the seventh O2- site, O2- is bonded in a water-like geometry to one P5+ and one H1+ atom. In the eighth O2- site, O2- is bonded in a single-bond geometry to one H1+ and one O2- atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on ZnC2N6(ClO)2 by Materials Project

ZnC2N6(OCl)2 is alpha structured and crystallizes in the monoclinic P2_1/c space group. The structure is zero-dimensional and consists of two ZnC2N6(OCl)2 clusters. Zn2+ is bonded in a distorted square co-planar geometry to two equivalent N+0.67-, two equivalent O2-, and two equivalent Cl1- atoms. Both Zn–N bond lengths are 2.88 Å. Both Zn–O bond lengths are 2.43 Å. Both Zn–Cl bond lengths are 2.16 Å. C4+ is bonded in a linear geometry to one N+0.67- and one O2- atom. The C–N bond length is 1.22 Å. The C–O bond length is 1.20 Å. There are three inequivalent N+0.67- sites. In the first N+0.67- site, N+0.67- is bonded in a single-bond geometry to one N+0.67- atom. The N–N bond length is 1.11 Å. In the second N+0.67- site, N+0.67- is bonded in a distorted bent 150 degrees geometry to one Zn2+ and one N+0.67- atom. In the third N+0.67- site, N+0.67- is bonded in a single-bond geometry to one C4+ atom. O2- is bonded in a 2-coordinate geometry to one Zn2+ and one C4+ atom. Cl1- is bonded in a single-bond geometry to one Zn2+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on SnH12Pt(N2Cl3)2 by Materials Project

Pt(NH3)4SnCl6 is Halite, Rock Salt structured and crystallizes in the orthorhombic Cmce space group. The structure is zero-dimensional and consists of four Pt(NH3)4 clusters and four SnCl6 clusters. In each Pt(NH3)4 cluster, Pt2+ is bonded in a square co-planar geometry to four equivalent N3- atoms. All Pt–N bond lengths are 2.07 Å. N3- is bonded in a distorted trigonal non-coplanar geometry to one Pt2+ and three H1+ atoms. All N–H bond lengths are 1.03 Å. There are three inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the second H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In each SnCl6 cluster, Sn4+ is bonded in an octahedral geometry to six Cl1- atoms. There are two shorter (2.45 Å) and four longer (2.49 Å) Sn–Cl bond lengths. There are two inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a single-bond geometry to one Sn4+ atom. In the second Cl1- site, Cl1- is bonded in a single-bond geometry to one Sn4+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2021

Universal thermodynamics of an SU ( N ) Fermi-Hubbard model

The SU(2) symmetric Fermi-Hubbard model (FHM) plays an essential role in strongly correlated fermionic many-body systems. In the one particle per site and strongly interacting limit U/t $\gg$ 1, it is effectively described by the Heisenberg Hamiltonian. In this limit, enlarging the spin and extending the typical SU(2) symmetry to SU(N) has been predicted to give exotic phases of matter in the ground state, with a complicated dependence on N. This raises the question of what—if any—are the finite-temperature signatures of these phases, especially in the currently experimentally relevant regime near or above the superexchange energy. We explore this question for thermodynamic observables by numerically calculating the thermodynamics of the SU(N) FHM in the two-dimensional square lattice near densities of one particle per site, using determinant quantum Monte Carlo and numerical linked cluster expansion. Interestingly, we find that for temperatures above the superexchange energy, where the correlation length is short, the energy, number of on-site pairs, and kinetic energy are universal functions of N. Although the physics in the regime studied is well beyond what can be captured by low-order high-temperature series, we show that an analytic description of the scaling is possible in terms of only one- and two-site calculations.

74 ATOMIC AND MOLECULAR PHYSICS↗
DOE OSTI2020

Materials Data on NiH20(C4N5)2 by Materials Project

NiH20(C4N5)2 crystallizes in the monoclinic P2_1/c space group. The structure is zero-dimensional and consists of two NiH20(C4N5)2 clusters. Ni2+ is bonded in a square co-planar geometry to four N3- atoms. All Ni–N bond lengths are 1.86 Å. There are four inequivalent C1+ sites. In the first C1+ site, C1+ is bonded to one N3- and three H1+ atoms to form corner-sharing CH3N tetrahedra. The C–N bond length is 1.46 Å. There is two shorter (1.10 Å) and one longer (1.11 Å) C–H bond length. In the second C1+ site, C1+ is bonded to one N3- and three H1+ atoms to form corner-sharing CH3N tetrahedra. The C–N bond length is 1.46 Å. There is one shorter (1.09 Å) and two longer (1.10 Å) C–H bond length. In the third C1+ site, C1+ is bonded in a trigonal planar geometry to three N3- atoms. There are a spread of C–N bond distances ranging from 1.33–1.38 Å. In the fourth C1+ site, C1+ is bonded in a trigonal planar geometry to three N3- atoms. There are a spread of C–N bond distances ranging from 1.34–1.39 Å. There are five inequivalent N3- sites. In the first N3- site, N3- is bonded in a trigonal planar geometry to three C1+ atoms. In the second N3- site, N3- is bonded in a distorted trigonal planar geometry to one Ni2+, one C1+, and one H1+ atom. The N–H bond length is 1.03 Å. In the third N3- site, N3- is bonded in a bent 120 degrees geometry to two C1+ atoms. In the fourth N3- site, N3- is bonded in a trigonal planar geometry to one C1+ and two H1+ atoms. There is one shorter (1.01 Å) and one longer (1.02 Å) N–H bond length. In the fifth N3- site, N3- is bonded in a distorted trigonal planar geometry to one Ni2+, one C1+, and one H1+ atom. The N–H bond length is 1.02 Å. There are ten inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the second H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CuH16PtC4N4O11 by Materials Project

Pt(NH3)4CuC4O9(H2O)2 crystallizes in the monoclinic C2 space group. The structure is zero-dimensional and consists of four water molecules, two CuC4O9 clusters, and two Pt(NH3)4 clusters. In each CuC4O9 cluster, Cu2+ is bonded in a square pyramidal geometry to five O2- atoms. There is one shorter (1.87 Å) and four longer (1.99 Å) Cu–O bond length. There are two inequivalent C+3.50+ sites. In the first C+3.50+ site, C+3.50+ is bonded in a bent 120 degrees geometry to two O2- atoms. There is one shorter (1.24 Å) and one longer (1.30 Å) C–O bond length. In the second C+3.50+ site, C+3.50+ is bonded in a bent 120 degrees geometry to two O2- atoms. There is one shorter (1.24 Å) and one longer (1.29 Å) C–O bond length. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted water-like geometry to one Cu2+ and one C+3.50+ atom. In the second O2- site, O2- is bonded in a distorted water-like geometry to one Cu2+ and one C+3.50+ atom. In the third O2- site, O2- is bonded in a single-bond geometry to one C+3.50+ atom. In the fourth O2- site, O2- is bonded in a single-bond geometry to one C+3.50+ atom. In the fifth O2- site, O2- is bonded in a single-bond geometry to one Cu2+ atom. In each Pt(NH3)4 cluster, Pt2+ is bonded in a square co-planar geometry to four N3- atoms. All Pt–N bond lengths are 2.06 Å. There are two inequivalent N3- sites. In the first N3- site, N3- is bonded in a distorted trigonal non-coplanar geometry to one Pt2+ and three H1+ atoms. All N–H bond lengths are 1.03 Å. In the second N3- site, N3- is bonded in a distorted trigonal non-coplanar geometry to one Pt2+ and three H1+ atoms. All N–H bond lengths are 1.03 Å. There are six inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the second H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CuH22C8N10O by Materials Project

CuH20(C4N5)2H2O crystallizes in the monoclinic C2/c space group. The structure is zero-dimensional and consists of eight water molecules and eight CuH20(C4N5)2 clusters. In four of the CuH20(C4N5)2 clusters, Cu2+ is bonded in a square co-planar geometry to four N3- atoms. There is two shorter (1.94 Å) and two longer (1.99 Å) Cu–N bond length. There are four inequivalent C1+ sites. In the first C1+ site, C1+ is bonded to one N3- and three H1+ atoms to form corner-sharing CH3N tetrahedra. The C–N bond length is 1.46 Å. All C–H bond lengths are 1.10 Å. In the second C1+ site, C1+ is bonded to one N3- and three H1+ atoms to form corner-sharing CH3N tetrahedra. The C–N bond length is 1.45 Å. There are a spread of C–H bond distances ranging from 1.09–1.11 Å. In the third C1+ site, C1+ is bonded in a trigonal planar geometry to three N3- atoms. There are a spread of C–N bond distances ranging from 1.33–1.39 Å. In the fourth C1+ site, C1+ is bonded in a trigonal planar geometry to three N3- atoms. There is one shorter (1.33 Å) and two longer (1.37 Å) C–N bond length. There are five inequivalent N3- sites. In the first N3- site, N3- is bonded in a bent 120 degrees geometry to two C1+ atoms. In the second N3- site, N3- is bonded in a distorted trigonal planar geometry to one Cu2+, one C1+, and one H1+ atom. The N–H bond length is 1.02 Å. In the third N3- site, N3- is bonded in a distorted trigonal planar geometry to one Cu2+, one C1+, and one H1+ atom. The N–H bond length is 1.03 Å. In the fourth N3- site, N3- is bonded in a trigonal planar geometry to three C1+ atoms. In the fifth N3- site, N3- is bonded in a trigonal non-coplanar geometry to one C1+ and two H1+ atoms. There is one shorter (1.01 Å) and one longer (1.02 Å) N–H bond length. There are ten inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the second H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In four of the CuH20(C4N5)2 clusters, Cu2+ is bonded in a square co-planar geometry to four N3- atoms. All Cu–N bond lengths are 1.96 Å. There are four inequivalent C1+ sites. In the first C1+ site, C1+ is bonded in a trigonal planar geometry to three N3- atoms. There are a spread of C–N bond distances ranging from 1.33–1.38 Å. In the second C1+ site, C1+ is bonded in a trigonal planar geometry to three N3- atoms. There are a spread of C–N bond distances ranging from 1.33–1.38 Å. In the third C1+ site, C1+ is bonded to one N3- and three H1+ atoms to form corner-sharing CH3N tetrahedra. The C–N bond length is 1.45 Å. There is one shorter (1.09 Å) and two longer (1.10 Å) C–H bond length. In the fourth C1+ site, C1+ is bonded to one N3- and three H1+ atoms to form corner-sharing CH3N tetrahedra. The C–N bond length is 1.45 Å. All C–H bond lengths are 1.10 Å. There are five inequivalent N3- sites. In the first N3- site, N3- is bonded in a distorted trigonal planar geometry to one Cu2+, one C1+, and one H1+ atom. The N–H bond length is 1.02 Å. In the second N3- site, N3- is bonded in a distorted trigonal planar geometry to one Cu2+, one C1+, and one H1+ atom. The N–H bond length is 1.02 Å. In the third N3- site, N3- is bonded in a distorted trigonal planar geometry to one C1+ and two H1+ atoms. Both N–H bond lengths are 1.02 Å. In the fourth N3- site, N3- is bonded in a bent 120 degrees geometry to two C1+ atoms. In the fifth N3- site, N3- is bonded in a trigonal planar geometry to three C1+ atoms. There are ten inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the second H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one C1+ atom. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom.

36 MATERIALS SCIENCE↗