Metallocarbohedryne

A metallocarbohedryne (or met-car for short) is any one of a family of chemical compounds with the generic molecular formula M
8C
12, where M is a transition metal such as titanium, vanadium, zirconium, niobium, hafnium, molybdenum, chromium, or iron.

These compounds have similar properties and a similar molecular structure, with the eight metal atoms at the corners of a somewhat distorted cube, and the twelve carbon atoms, in pairs, placed diagonally across the faces of the cube. The structure can also be described as two intersecting tetrahedra of metal atoms, with the carbon atoms placed in pairs along the edges of one tetrahedron. They have been extensively studied in the gas phase, and sometimes dispersed in solid materials, but so far have not been produced in bulk or in solution.^[1] Nevertheless, they have attracted interest because of their stability and symmetry, a relatively low ionization potential, delayed ionization, and possibly interesting magnetic properties.^[2] Some authors suggest that they may eventually find applications in electronics and as catalysis.^[2]

The name is also used for the corresponding cations M
8Cn+
12 and anions M
8Cn-
12.^[3]

The first papers used the name metallo-carbohedrene (with or without the hyphen) for this type of compound.^[3][4][5]

History

The earliest known member of this family is the anion Ti
8C+
12, discovered by Guo, kerns, and Castleman in 1992 while researching the dehydrogenation of various hydrocarbons (including methane, acetylene, ethylene, benzene, and propylene) with titanium atoms, in the gas phase. Although fullerenes like C
60 were already known, that may have been the first cage-like molecule with metal atoms replacing carbon at some corners of the mesh. They observed that the cluster would bind eight ammonia molecules, indicating that the eight titanium atoms were exposed.^[3] They also observed the analogous cations with vanadium, zirconium, or hafnium substituted for titanium, the corresponding neutral molecules, and the anion V
8C−
12.^[4]

Synthesis

Metallocarbohedrynes can be readily generated by vaporizing the desired metal with a laser, in an atmosphere containing the suitable hydrocarbon.^[3] The technique can produce mixed clusters, such as Ti
8-xZr
xC
12.^[1]

They have been also detected, at a concentration of 1% or less, in the soot generated by an electric arc between two Ti-C electrodes.^[1]

Structure

The structure of these clusters has been extensively investigated since their discovery. At first, the 20 atoms of Ti
8C+
12 were conjectured to be arranged as the vertices of a dodecahedron, with the titanium atoms at the corners of a cube, and two carbon atom pairs, on opposite faces, aligned with each set of four parallel edges of the cube. This structure was conjectured to be analogous to that of the hypothetical dodecahedral fullerene C
20.^[3] However, this claim was soon disputed by Linus Pauling^[6] who proposed an alternative arrangement—with the titanium atoms still at the corners of a cube, but with the carbon atoms pushed inwards so as to be nearly coplanar with the faces of that cube.

Theoretical studies

The first ab initio theoretical investigations of the structure of Ti
8C
12 (by Li and others, Methfessel and others, in 1993) indicated a slightly distorted version of the dodecahedron proposed by Guo and others, with C-C distances 139 pm and Ti-C distances 199 pm. In this model, the eight titanium atoms were still equivalent and located at the corners of a cube, with C-C pairs parallel to edges, so that the molecule would have the symmetry group $T_{h}$. Nevertheless, they found the atoms are almost equidistant from the center, (260 pm for C, 262 pm for Ti). The electronic structure however was quite unlike that of graphite and C
60.^[7][8]

Several other models were proposed. Ceulemans and Fowler proposed a ring of 12 carbon atoms capped by two Ti
4 tetrahedra.^[1] Khan proposed a cage of 12 carbons at the vertices of a cuboctahedron, surrounded by an elongated cage of metal atoms.^[1]

Eventually a consensus was reached on a structure proposed by Dance and others, in which the metal atoms are divided in two groups of four ("outer" or "o-", and "inner" or "i-"), at the vertices of two intersecting concentric regular tetrahedra, with different radii and opposite orientations; and the six carbon pairs are aligned with the edges of the larger tetrahedron. This structure can be seen as a deformation of the original proposal, by pulling four vertices of the cube slightly outwards, and rotating the carbon pairs by 45 degrees. Its symmetry group is $T_{d}$ instead of $T_{h}$,^[5][9] and it was predicted to have considerably lower energy (by 300 kcal/mol). Indeed, the formation of Ti
8C
12 with the Dance structure was predicted to be energetically favored (exothermic) relative to metallic titanium and graphite.^[1]

Acceptance of this structure was delayed because the yields of the various clusters Ti
8-xZr
xC
12 in Guo's process suggested that the eight metal atom sites were equivalent. In particular, the cluster Ti
4Zr
4C
12 did not seem to be exceptionally stable. However, the energy difference between placing the four zirconium atoms in the inner positions, rather than the outer ones, was eventually computed to be only 0.5 kcal/mol.^[1]

In 2003, Hou and others predicted a slight displacement of two of the carbon pairs, that reduced the symmetry group to $D_{{2d}}$^[10] A similar conclusion had been reached by Chen and others. However, later studies by Lou and Nordlander concluded that the $T_{d}$ form had lower energy (by about 70 kcal/mol)^[1] However, the zinc cluster Zn
8C
12 was predicted to have the symmetrical dodecahedral ($T_{h}$) structure suggested by Guo for the titanium cluster.^[1]

Electronically, Ti
8C
12 is believed to have a metallic character, with 80 delocalized valence electrons. Its static polarizability was computed to be of the same order of magnitude as that of the fullerene C
60.^[1]

Spectroscopy and ionization

Pilgrim and Duncan observed in 1993 that Ti
8C+
12 can be dissociated by visible light Ti
7C12+
is a fragment of Ti
8C
12+^[11]

In 1998, Sakurai and Castleman measured ionization potentials of Ti
8-xZr
xC
12 via near threshold photoionization spectroscopy. In particular, they got 4.40 eV of for Ti
8C
12 and 3.95 eV for Zr
8C
12. The former value was said to be more consistent with the $T_{d}$ structure than the $T_{h}$ one.^[12]

The infrared spectrum of neutral Ti
8C
12 and of Ti
8C+
12 cations was studied by van Heijnsbergen and others, starting 1999. They measured clusters in the gas phase, accumulated as cations in a ion trap. They saw evidence that the loss of one electron from Ti
8C
12 to Ti
8C+
12 does not change the structure significantly.^[13][14]

In 2004, Martínez and others computed from theoretical models the optical absorption spectrum of Ti
8C
12 and V
8C
12. They predicted a broad spectrum for both, with high absorption starting at about 8 eV and centered around 12–14 eV.^[2]

Reactions

The chemistry of Ti
8C
12 and it analogs was studied in the gas phase, already by Castleman's and others. After creation, the ionized clusters were separated from other species by mass spectrometry, and injected into a drift tube containing the gaseous reactant, diluted in helium.^[1]

With theoretical computations, Huo and others predicted that the clusters Ti
8C
12 and Mo
8C
12 could bind 4 carbonyls, at outer metal atoms.^[10]

Potential applications

While the clusters have yet to be produced in bulk, they have been investigated theoretically for possible use as catalysts.

Desulfurization of oil

Specifically, in 2004 Liu and others have simulated the decomposition of thiophene C
4H
5S by three hydrogen molecules to 2-butene C
4H
8 and hydrogen disulfide H
2S, catalyzed by a neutral Ti
8C
12. This reaction is an important step in the removal of sulfur from oil. They predicted that the first H
2 molecule would spontaneously dissociate in contact with the C
2 pairs, and each H atom would then migrate to the adjacent outer titanium atom ("o-Ti"). The thiophene would then react exothermally with each H atom in turn, yielding a butadiene attached to an o-Ti and the sulfur atom attached at the nearby inner titanium ("i-Ti") atom. A second H
2 molecule would then dissociate at the o-Ti site and turn butadiene into 2-butene. A third H
2 would dissociate at an o-Ti site, and the two atoms would migrate to the i-Ti atom bearing the sulfur atom, and convert it into H
2S.^[15]

See also

• Titanium carbide
• Iron carbide
• Vanadium carbide

References

1. Rohmer, Marie-Madeleine; Bénard, Marc; Poblet, Josep-M. (2000). "Structure, Reactivity, and Growth Pathways of Metallocarbohedrenes M
   8C
   12 and Transition Metal/Carbon Clusters and Nanocrystals:  A Challenge to Computational Chemistry". Chemical Reviews. 100 (2): 495. doi:10.1021/cr9803885. PMID 11749244.
2. Martínez, J.I.; Castro, A.; Rubio, A.; Poblet, J.M.; Alonso, J.A. (2004). "Calculation of the optical spectrum of the Ti
   8C
   12 and V
   8C12 Met-Cars". Chemical Physics Letters. 398 (4–6): 292. doi:10.1016/j.cplett.2004.09.058.
3. Guo, B. C.; Kerns, K. P.; Castleman, A. W. (1992). "Ti
   8C+
   12-Metallo-Carbohedrenes: A New Class of Molecular Clusters?". Science. 255 (5050): 1411. doi:10.1126/science.255.5050.1411. PMID 17801229.
4. Guo, B. C.; Wei, S.; Purnell, J.; Buzza, S.; Castleman, A. W. (1992). "Metallo-Carbohedrenes [M
   8C+
   12 (M = V, Zr, Hf, and Ti)]: A Class of Stable Molecular Cluster Ions". Science. 256 (5056): 515. doi:10.1126/science.256.5056.515. PMID 17787948.
5. Rohmer, Marie-Madeleine; Benard, Marc; Bo, Carles; Poblet, Josep-M. (1995). "Ab Initio SCF and CI Investigations on Titanium-Carbon Clusters: Metallocarbohedrenes Ti
   8C
   12 and Cfc Crystallites Ti14C13". Journal of the American Chemical Society. 117: 508. doi:10.1021/ja00106a059.
6. Pauling, L (1992). "Molecular structure of Ti
   8C
   12 and related complexes". Proceedings of the National Academy of Sciences of the United States of America. 89 (17): 8175–8176. doi:10.1073/pnas.89.17.8175. PMC 49879. PMID 11607323.
7. Methfessel, M; Van Schilfgaarde, M; Scheffler, M (1993). "Electronic structure and bonding in the metallocarbohedrene Ti
   8C
   12" (PDF). Physical Review Letters. 70 (1): 29–32. doi:10.1103/PhysRevLett.70.29. PMID 10053250.
8. Li, Zhi-Qiang; Gu, Bing-lin; Han, Ru-Shan; Zheng, Qing-qi (1993). "Structure and electronic properties of Ti
   8C
   12 cluster". Zeitschrift für Physik D. 27 (3): 275. doi:10.1007/BF01436544.
9. Xia, H B; Tian, D C; Jin, Z Z; Wang, L L (1994). "First-principles calculation of the electronic structure of Ti
   8C
   12 and Zr
   8C
   12". Journal of Physics: Condensed Matter. 6 (23): 4269. doi:10.1088/0953-8984/6/23/006.
10. Hou, Hua; Muckerman, James T.; Liu, Ping; Rodriguez, José A. (2003). "Computational Study of the Geometry and Properties of the Metcars Ti
    8C
    12 and Mo
    8C
    12". The Journal of Physical Chemistry A. 107 (44): 9344. doi:10.1021/jp0357976.
11. J. S. Pilgrim, M. A. Duncan (1993). "Metallo-carbohedrenes: chromium, iron, and molybdenum analogs". Journal of the American Chemical Society. 115 (15): 6958–696. doi:10.1021/ja00068a065.
12. Sakurai, H.; Castleman, A. W. (1998). "Ionization Potentials for the Titanium, Zirconium, and the Mixed Metal Met-Cars". The Journal of Physical Chemistry A. 102 (51): 10486. doi:10.1021/jp983287j.
13. Van Heijnsbergen, Deniz; von Helden, Gert; Duncan, Michael A.; Van Roij, André J. A.; Meijer, Gerard (1999). "Vibrational Spectroscopy of Gas-Phase Metal-Carbide Clusters and Nanocrystals". Physical Review Letters. 83 (24): 4983. doi:10.1103/PhysRevLett.83.4983.
14. Van Heijnsbergen, Deniz; Duncan, Michael A; Meijer, Gerard; von Helden, Gert (2001). "Infrared spectroscopy of Ti
    8C
    12 'met-car' cations". Chemical Physics Letters. 349 (3–4): 220. doi:10.1016/S0009-2614(01)01230-1..
15. Liu, Ping; Rodriguez, José A.; Muckerman, James T. (2004). "The Ti
    8C
    12 Metcar: A New Model Catalyst for Hydrodesulfurization". The Journal of Physical Chemistry B. 108 (49): 18796. doi:10.1021/jp045460j.