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Materials Data on TiTe by Materials Project

TiTe is Tungsten Carbide-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Ti2+ is bonded to six equivalent Te2- atoms to form a mixture of face, edge, and corner-sharing TiTe6 octahedra. The corner-sharing octahedral tilt angles are 45°. All Ti–Te bond lengths are 2.80 Å. Te2- is bonded to six equivalent Ti2+ atoms to form a mixture of distorted edge and corner-sharing TeTi6 pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on TiTe by Materials Project

TiTe is Tungsten Carbide-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Ti2+ is bonded to six equivalent Te2- atoms to form a mixture of distorted edge and corner-sharing TiTe6 pentagonal pyramids. All Ti–Te bond lengths are 2.84 Å. Te2- is bonded to six equivalent Ti2+ atoms to form a mixture of distorted edge, face, and corner-sharing TeTi6 octahedra. The corner-sharing octahedral tilt angles are 43°.

36 MATERIALS SCIENCE↗

Coherent Electronic Band Structure of TiTe 2 /TiSe 2 Moiré Bilayer

Here, a van der Waals bonded moiré bilayer formed by sequential growth of TiSe 2 and TiTe 2 monolayers exhibits emergent electronic structure as evidenced by angle-resolved photoemission band mapping. The two monolayers adopt the same lattice orientation but incommensurate lattice constants. Despite the lack of translational symmetry, sharp dispersive bands are observed. The dispersion relations appear distinct from those for the component monolayers alone. Theoretical calculations illustrate the formation of composite bands by coherent electronic coupling despite the weak interlayer bonding, which leads to band renormalization and energy shifts.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗

Stabilization of NbTe 3 , VTe 3 , and TiTe 3 via Nanotube Encapsulation

The structure of MX 3 transition metal trichalcogenides (TMTs, with M a transition metal and X a chalcogen) is typified by one-dimensional (1D) chains weakly bound together via van der Waals interactions. This structural motif is common across a range of M and X atoms (e.g. NbSe 3 , HfTe 3 , TaS 3 ), but not all M and X combinations are stable. We report here that three new members of the MX 3 family which are not stable in bulk, specifically NbTe 3 , VTe 3 , and TiTe 3 , can be synthesized in the few- to single-chain limit via nano-confined growth within the stabilizing cavity of multi-walled carbon nanotubes. Transmission electron microscopy (TEM) and atomic-resolution scanning transmission electron microscopy (STEM) reveal the chain-like nature and the detailed atomic structure. The synthesized materials exhibit behavior unique to few-chain quasi-1D structures, such as multi-chain spiraling and a trigonal anti-prismatic rocking distortion in the single-chain limit. Density functional theory (DFT) calculations provide insight into the crystal structure and stability of the materials, as well as their electronic structure.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗

Unveiling the orbital texture of 1T-TiTe 2 using intrinsic linear dichroism in multidimensional photoemission spectroscopy

The momentum-dependent orbital character in crystalline solids, referred to as orbital texture, is of capital importance in the emergence of symmetry-broken collective phases, such as charge density waves as well as superconducting and topological states of matter. By performing extreme ultraviolet multidimensional angle-resolved photoemission spectroscopy for two different crystal orientations linked to each other by mirror symmetry, we isolate and identify the role of orbital texture in photoemission from the transition metal dichalcogenide 1T-TiTe 2 . By comparing our experimental results with theoretical calculations based on both a quantitative one-step model of photoemission and an intuitive tight-binding model, we unambiguously demonstrate the link between the momentum-dependent orbital orientation and the emergence of strong intrinsic linear dichroism in the photoelectron angular distributions. Our results represent an important step towards going beyond band structure (eigenvalues) mapping and learning about electronic wavefunction and orbital texture of solids by exploiting matrix element effects in photoemission spectroscopy.

36 MATERIALS SCIENCE↗

Charge Instability in Single-Layer TiTe 2 Mediated by van der Waals Bonding to Substrates

Single layers of transition metal dichalcogenides are of interest for emergent properties; an often-neglected issue is substrate effects. Here, our experiments show that the charge density wave in a single-layer TiTe 2 grown on PtTe 2 films is strongly suppressed by increasing the PtTe 2 substrate thickness. Given that the interfacial bonding remains of the weak incommensurate van der Waals type, the observed changes are correlated with a thickness-dependent metallicity transformation in the PtTe 2 substrate. The results illustrate the crucial role of the substrate in single-layer physics.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

tite

The TITE library provides type erasure implementation utilizing the tag_invoke paradigm proposed for standardization here: https://open-std.org/JTC1/SC22/WG21/docs/papers/2019/p1895r0.pdf. The implementation contained herein is largely modeled after that provided in the standardization proposal and available at https://godbolt.org/z/3TvO4f. Significant modification have been made to the original implementation to improve its suitability to be utilized for GPU architectures. In particular the implementation: - only requires a C++14 standard. - has been extended to obtain vtables for GPU device architectures in addition to CPU host architectures. - provides a gpu_allocator class appropriate for allocation of the type-erased object to GPU memory - provides copy semantics omitted from the original implementation-- - generally the copy semantics are to completely copy the type-erased object - when the usage of the type-erased object guarantees immutability the copy semantics are altered to reference-counted shallow copies (copies of pointers) for improved performance

Solomon, CJ↗

Collective states and charge density waves in the group IV transition metal trichalcogenides

It has been nearly a century since the original mechanism for charge density wave (CDW) formation was suggested by Peierls. Since then, the term has come to describe several related concepts in condensed matter physics, having their origin in either the electron–phonon or electron–electron interaction. The vast majority of CDW literature deals with systems that are metallic, where discussions of mechanisms related to the Fermi surface are valid. Recently, it has been suggested that semiconducting systems such as TiS 3 and TiSe 2 exhibit behavior related to CDWs. In such cases, the origin of the behavior is more subtle and intimately tied to electron–electron interactions. We introduce the different classifications of CDW systems that have been proposed and discuss work on the group IV transition metal trichalcogenides (TMTs) (ZrTe 3 , HfTe 3 , TiTe 3 , and TiS 3 ), which are an exciting and emergent material system whose members exhibit quasi-one-dimensional properties. TMTs are van der Waals materials and can be readily studied in the few-layer limit, opening new avenues to manipulating collective states. We emphasize the semiconducting compound TiS 3 and suggest how it can be classified based on available data. Although we can conjecture on the origin of the CDW in TiS 3 , further measurements are required to properly characterize it.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗