Related Experiment Video
Updated: Feb 13, 2026

08:28
Hollow Fiber Bioreactors for In Vivo-like Mammalian Tissue Culture
Published on: May 26, 2016
17.0K
Ti12C68: A stable T h -symmetry hollow cage
Ling-Yan Ai1,2, Hui-Yan Zhao1, Hong-Man Ma1
1Department of Physics and Hebei Advanced Thin Film Laboratory, Hebei Normal University, Shijiazhuang, 050024, Hebei, China.
Scientific Reports
|March 10, 2018
Summary
A novel titanium carbide cluster, Ti12C68, exhibits remarkable stability and metal-like properties. This hollow cage structure remains intact at high temperatures, expanding possibilities for new materials.
Area of Science:
- Computational Chemistry
- Materials Science
- Inorganic Chemistry
Background:
- Hollow metal carbide clusters are of interest for their unique structural and electronic properties.
- Investigating novel cluster structures is crucial for expanding the library of known materials.
Purpose of the Study:
- To systematically investigate the structural, kinetic, and electronic properties of a stable Th-symmetry Ti12C68 cage.
- To assess the thermal stability and bonding characteristics of this novel titanium carbide cluster.
Main Methods:
- Density Functional Theory (DFT) calculations were employed to determine the electronic structure and stability.
- Ab initio molecular dynamics simulations were used to evaluate thermal stability up to 1139 K.
- Natural Bond Orbital (NBO) and frontier molecular orbital analyses were performed to understand bonding and electronic properties.
Main Results:
- The Ti12C68 cluster possesses a stable hollow cage structure with Th symmetry, confirmed by the absence of imaginary frequencies.
- Molecular dynamics simulations showed the structural integrity of the cage was maintained up to 1139 K.
- Analysis revealed significant Ti d-orbitals contribution to four sigma bonds within each TiC13 subunit, crucial for cluster stability.
- A narrow HOMO-LUMO gap was observed, indicating metal-like electronic properties.
Conclusions:
- The Ti12C68 cage is kinetically stable and exhibits high thermal stability.
- The electronic structure suggests potential for unique applications due to its metal-like properties.
- This finding enriches the family of hollow metal carbide clusters and opens avenues for further research.
Related Concept Videos
Symmetry
226
The equation of an ellipse centered at the origin defines all points whose distances from the center maintain a constant ratio between the horizontal and vertical axes. This equation results in a smooth, closed curve that extends further along the x-axis than the y-axis, giving it a horizontal orientation. Such an ellipse demonstrates three kinds of symmetry: across the x-axis, across the y-axis, and about the origin. These symmetries are essential in understanding the graph's structure and...
226
Gauss's Law: Planar Symmetry
9.6K
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
9.6K
Thin-Walled Hollow Shafts
586
In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution of...
586
The Thoracic Cage: Sternum
6.4K
The thoracic or rib cage forms the body's thorax (chest) portion. Its primary function in the body is to protect vital organs in the thoracic cavity, such as the heart and the lungs. It consists of 12 pairs of ribs with their costal cartilages and the sternum. The ribs are anchored posteriorly to the 12 thoracic vertebrae (T1-T12).
The sternum is the elongated bony structure on the anterior side of the thoracic cage. It consists of three parts: the manubrium, the body, and the xiphoid...
The sternum is the elongated bony structure on the anterior side of the thoracic cage. It consists of three parts: the manubrium, the body, and the xiphoid...
6.4K
The Thoracic Cage: Ribs
9.1K
Ribs are curved, flattened bones forming the thoracic cavity wall with the thoracic muscles. There are 12 pairs of thoracic ribs. The posterior ends of all the ribs articulate with the T1–T12 thoracic vertebrae. In contrast,the anterior ends of most ribs attach to the sternum via their costal cartilages.
Parts of a Typical Rib
A typical rib has a head, neck, and body. The posterior end of the rib is called the head, followed by a narrow neck. The head articulates primarily with the costal...
Parts of a Typical Rib
A typical rib has a head, neck, and body. The posterior end of the rib is called the head, followed by a narrow neck. The head articulates primarily with the costal...
9.1K
Symmetry in Maxwell's Equations
4.2K
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
4.2K

