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7 records
All sourcesNASA NTRSDOE OSTI
DOE OSTI2021

Multi-spin soft bootstrap and scalar-vector Galileon

We use the amplitude soft bootstrap method to explore the space of effective field theories (EFT) of massless vectors and scalars. It is known that demanding vanishing soft limits fixes uniquely a special class of EFTs: non-linear sigma model, scalar Galileon and Born-Infeld theories. Based on the amplitudes analysis, we conjecture no-go theorems for higher-derivative vector theories and theories with coupled vectors and scalars. We then allow for more general soft theorems where the non-trivial part of the soft limit of the ( n +1)-pt amplitude is equal to a linear combination of n-pt amplitudes. We derive the form of these soft theorems for general power-counting and spins of particles and use it as an input into the soft bootstrap method in the case of Galileon power-counting and coupled scalar-vector theories. We show that this unifies the description of existing Galileon theories and leads us to the discovery of a new exceptional theory: Special scalar-vector Galileon.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
DOE OSTI2020

Materials Data on PtN by Materials Project

PtN is Zincblende, Sphalerite structured and crystallizes in the cubic F-43m space group. The structure is three-dimensional. Pt2+ is bonded to four equivalent N2- atoms to form corner-sharing PtN4 tetrahedra. All Pt–N bond lengths are 2.07 Å. N2- is bonded to four equivalent Pt2+ atoms to form corner-sharing NPt4 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on PtN by Materials Project

PtN is Halite, Rock Salt structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Pt2+ is bonded to six equivalent N2- atoms to form a mixture of corner and edge-sharing PtN6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Pt–N bond lengths are 2.25 Å. N2- is bonded to six equivalent Pt2+ atoms to form a mixture of corner and edge-sharing NPt6 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on PtN2 by Materials Project

PtN2 is Marcasite structured and crystallizes in the orthorhombic Pnnm space group. The structure is three-dimensional. Pt6+ is bonded to six equivalent N3- atoms to form PtN6 octahedra that share corners with eight equivalent PtN6 octahedra, corners with six equivalent NPt3N tetrahedra, and edges with two equivalent PtN6 octahedra. The corner-sharing octahedral tilt angles are 69°. There are two shorter (2.10 Å) and four longer (2.12 Å) Pt–N bond lengths. N3- is bonded to three equivalent Pt6+ and one N3- atom to form NPt3N tetrahedra that share corners with three equivalent PtN6 octahedra, corners with thirteen equivalent NPt3N tetrahedra, and an edgeedge with one NPt3N tetrahedra. The corner-sharing octahedra tilt angles range from 67–69°. The N–N bond length is 1.40 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on PtN2 by Materials Project

PtN2 crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. Pt6+ is bonded to six equivalent N3- atoms to form distorted edge-sharing PtN6 pentagonal pyramids. All Pt–N bond lengths are 2.30 Å. N3- is bonded in a rectangular see-saw-like geometry to three equivalent Pt6+ and one N3- atom. The N–N bond length is 1.20 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on PtN2 by Materials Project

PtN2 crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Pt6+ is bonded to six equivalent N3- atoms to form distorted edge-sharing PtN6 pentagonal pyramids. All Pt–N bond lengths are 2.30 Å. N3- is bonded in a rectangular see-saw-like geometry to three equivalent Pt6+ and one N3- atom. The N–N bond length is 1.20 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on PtN2 by Materials Project

PtN2 crystallizes in the cubic Pa-3 space group. The structure is three-dimensional. Pt6+ is bonded to six equivalent N3- atoms to form PtN6 octahedra that share corners with twelve equivalent PtN6 octahedra and corners with six equivalent NPt3N tetrahedra. The corner-sharing octahedral tilt angles are 70°. All Pt–N bond lengths are 2.11 Å. N3- is bonded to three equivalent Pt6+ and one N3- atom to form NPt3N tetrahedra that share corners with three equivalent PtN6 octahedra and corners with fifteen equivalent NPt3N tetrahedra. The corner-sharing octahedral tilt angles are 71°. The N–N bond length is 1.41 Å.

36 MATERIALS SCIENCE↗