Construction principles of "hyparenes": families of molecules with planar pentacoordinate carbons

Structure and stability of B5C and C5B clusters

Geometry optimizations and vibrational frequencies of B5C and C5B clusters were calculated with the Becke-3LYP method using the 6-311+G(d) basis set and some stable configurations of B5C and C5B clusters have been found. The most stable structure of B5C is a planar six-membered ring. However, for C5B clusters, the most stable structure is linear with a boron atom in position 3. Various configurations of B5C clusters containing three-membered boron rings have predominance in energy, whereas various configurations of C5B clusters containing three-membered carbon rings are disadvantageous in energy. In B5C clusters, isomer2 can be converted into isomer1 by surmounting an energy barrier of 43.83 kJ.mol(-1). In C5B clusters, the conversions of isomer5 into isomer2 and isomer7 into isomer2 have energy barriers of 19.66 and 20.57 kJ.mol(-1), respectively.

Double Aromaticity in Monocyclic Carbon, Boron, and Borocarbon Rings Based on Magnetic Criteria

The double-aromatic character of selected monocyclic carbon, boron, and borocarbon rings is demonstrated by refined nucleus-independent chemical shift (NICS) analyses involving the contributions of individual canonical MOs and their out-of-plane NICS tensor component (CMO-NICS(zz)). The double aromaticity considered results from two mutually orthogonal Hückel p AO frameworks in a single molecule. The familiar pi orbitals are augmented by the in-plane delocalization of electrons occupying sets of radial (rad) p orbitals. Such double aromaticity is present in B(3) (-), C(6)H(3) (+), C(6) (4+), C(4)B(4) (4+), C(6), C(5)B(2), C(4)B(4), C(2)B(8), B(10) (2-), B(12), C(10), C(9)B(2), C(8)B(4), C(7)B(6), C(6)B(8), and C(14). Monocyclic C(8) and C(12) are doubly antiaromatic, as both the orthogonal pi and radial Hückel sets are paratropic. Planar C(7) and C(9) monocycles have mixed aromatic (pi) and antiaromatic (radial) systems.

Induced Currents and Electron Counting in Aromatic Boron Wheels: B82- and B9-

The newly discovered atom-centered polygonal wheels B8(2-) and B9- are predicted to show ring currents characteristic of aromatic systems. Ipsocentric mapping of induced current density for both molecules attributes a pi diatropic current to the four electrons of the doubly degenerate pi HOMO and a sigma diatropic current to the four electrons of the doubly degenerate sigma HOMO, each orbital pair having an available transition to corresponding LUMO orbitals in which the angular node count increases by one. Thus, on the magnetic criterion, B8(2-) and B9- are each both pi- and sigma-aromatic as a consequence of the nodal properties of the frontier orbitals of the pi- and sigma-stacks.

Structure and properties of polycoordinate planar boron compounds

Polycoordinate planar B compounds BX(n) (X=B, Al, C, N and Si; n=3-8) are optimized at B3LYP/6-311++G (3df,p) theoretical level. For X=B, center B atom can coordinate three to eight atoms, while for X=Al, C, Si, and N, it can only coordinate three to five atoms. The natural bond orbital analysis shows that the center B atom does not violate the octet rule, though the numbers of coordinated atom even reach 8. According to molecular orbital analysis and nucleus independent chemical shift value calculation, it seems that these polycoordinate planar B compounds BX(n) (X=B, Al, C, N, and Si; n=3-8) hold twofold (alpha and pi) aromatic, which play an important role in their stability and keeping all atoms in one plane.

Planar carbon radical’s assembly and stabilization, a way to design spin-based molecular materials

In this work, we report the first computational study on the assembly and stabilization of a novel kind of radical, i.e., the planar tetracoordinate carbon radical CAl(4)(-). Based on the 6-31+G(d)-UB3LYP, UMP2 and UCCSD(T) calculations on charged [D(CAl(4))M](q-), saturated [D(CAl(4))M(n)] and extended (CpM)(p)(CAl(4))(q) sandwich-like compounds (D = CAl(4)(-), Cp(-); M = Li, Na, K, Be, Mg, Ca), we find that for the six metals, the planar radical CAl(4)(-) can only be assembled in the "hetero-decked sandwich" scheme (e.g. [CpM(CAl(4))](q-)) rather than the traditional "homo-decked sandwich" scheme. Moreover, the low and high spin states of the designed sandwich-like species are perfectly degenerate during assembly. This can be ascribed to the good spin conservation of the CAl(4)(-) deck and the good spatial separation between two CAl(4)(-) decks. Our results show for the first time that the planar radical CAl(4)(-) can act as a new type of spin-embedded "superatom" for cluster assembly when it is assisted by a rigid partner like Cp(-). The good spin-conservation of CAl(4)(-) is very promising for the future design of novel paramagnetic and diamagnetic materials. The ionic, clustering and radical interactions between the two decks are analyzed in detail, which is quite crucial to improve the insight and understanding of the nature and origin of the interactions of the "deck-core-deck" in the metallocenes. Such information is also important in understanding the radical reactions and designing novel spin-based molecular materials. The present study should be expected to enrich the flat carbon chemistry, radical chemistry, metallocene chemistry and combinatorial chemistry.

Design of Sandwichlike Complexes Based on the Planar Tetracoordinate Carbon Unit CAl42-

Ever being a large curiosity, a series of simple "planar tetracoordinate carbon (ptC)" molecules have been recently characterized by experiments. Incorporation of such exotic ptC units into the assembled molecular materials, which will bridge the isolated clusters in molecular beams and the potential solid materials, is very challenging. In this paper, we described the first attempt on how to assemble the fewest-number ptC unit CAl42- into molecular materials in sandwich forms on the basis of the density functional theory calculations on a series of model compounds [D(CAl4)M]q- as well as the saturated compounds [D(CAl4)Mn] ((D = CAl42-, Cp-(C5H5-); M = Li, Na, K, Be, Mg, Ca). For M = Li, Be, Mg, and Ca, the ptC unit CAl42- can only be assembled in our newly proposed "heterodecked sandwich" scheme (e.g., [Cp(CAl4)M]q- (M = Li, Na, K, q = 2; M = Be, Mg, Ca, q = 1)) so as to avoid cluster fusion. For M = Na and K, the ptC unit CAl42- can be assembled in both the traditional "homodecked sandwich" [(CAl4)2M]q- (M = Li, Na, K, q = 3; M = Be, Mg, Ca, q = 2) and the novel heterodecked sandwich schemes. Moreover, the counterions were found to have an important role in determining the type of the ground structures for the homodecked sandwich. Various assembled species in extended frameworks were designed. Notably, among all the designed sandwich species, the ptC unit CAl42- generally prefers to interact with the partner deck at the side (Al-Al bond) or corner (Al atom) site. This has not been reported in the sandwich complexes on the basis of the known decks such as Cp-, P5-, N42-, and Al42-, for which only the traditional face-face interaction type was considered. Our results for the first time showed that the ptC unit CAl42- can act as a new type of "superatom". The present results are expected to enrich the flat carbon chemistry, superatom chemistry, metallocenes, and combinational chemistry.

Hexa- and Octacoordinate Carbon in Hydrocarbon Cages: Theoretical Design and Characterization

A new series of hydrocarbon cages containing hexa- and octacoordinate carbon centers were designed theoretically by performing DFT calculations at the B3 LYP/6-311+G** level. Among these non-classical structures that were found to still obey the 8e rule, the two tetracations with octacoordinate carbons may be the first examples found in pure hydrocarbons. Structural characteristics, as well as thermodynamic and kinetic stabilities, were also investigated theoretically for these two octacoordinate tetracations. These hydrocarbon compounds containing hypercoordinate carbon centers provide a challenge for synthetic organic chemists.

Comprehensive analysis of chemical bonding in boron clusters

We present a comprehensive analysis of chemical bonding in pure boron clusters. It is now established in joint experimental and theoretical studies that pure boron clusters are planar or quasi-planar at least up to twenty atoms. Their planarity or quasi-planarity was usually discussed in terms of pi-delocalization or pi-aromaticity. In the current article, we demonstrated that one cannot ignore sigma-electrons and that the presence of two-center two-electron (2c--2e) peripheral B--B bonds together with the globally delocalized sigma-electrons must be taken into consideration when the shape of pure boron cluster is discussed. The global aromaticity (or global antiaromaticity) can be assigned on the basis of the 4n+2 (or 4n) electron counting rule for either pi- or sigma-electrons in the planar structures. We showed that pure boron clusters could have double (sigma- and pi-) aromaticity (B3-, B4, B5+, B6(2+), B7+, B7-, B8, B(8)2-, B9-, B10, B11+, B12, and B13+), double (sigma- and pi-) antiaromaticity (B6(2-), B15), or conflicting aromaticity (B5-,sigma-antiaromatic and pi-aromatic and B14, sigma-aromatic and pi-antiaromatic). Appropriate geometric fit is also an essential factor, which determines the shape of the most stable structures. In all the boron clusters considered here, the peripheral atoms form planar cycles. Peripheral 2c--2e B--B bonds are built up from s to p hybrid atomic orbitals and this enforces the planarity of the cycle. If the given number of central atoms (1, 2, 3, or 4) can perfectly fit the central cavity then the overall structure is planar. Otherwise, central atoms come out of the plane of the cycle and the overall structure is quasi-planar.

Hypercarbons in polyhedral structures

Though carbon is mostly tetravalent and tetracoordinated, there are several examples where the coordination number exceeds four. Structural varieties that exhibit hypercarbons in polyhedral structures such as polyhedral carboranes, sandwich complexes, encapsulated polyhedral structures and novel planar aromatic systems with atoms embedded in the middle are reviewed here. The structural variety anticipated with hypercoordinate carbon among carboranes is large as there are many modes of condensation that could lead to large number of new patterns. The relative stabilities of positional isomers of polyhedral carboranes, sandwich structures, and endohedral carboranes are briefly described. The mno rule accounts for the variety of structural patterns. Wheel-shaped and planar hypercoordinated molecules are recent theoretical developments in this area.

Theoretical study of hydrogenation of the doubly aromatic B 7 − cluster

We have studied the influence of hydrogenation on the relative stability of the low-lying isomers of the anionic B7- cluster, computationally. It is known that the pure-boron B7- cluster has a doubly (sigma- and pi-) aromatic C6v(3A1) quasi-planar wheel-type triplet global minimum (structure 1), a low-lying sigma-aromatic and pi-antiaromatic quasi-planar singlet C2v (1A1) isomer 2 (0.7 kcal mol(-1) above the global minimum), and a planar doubly (sigma- and pi-) antiaromatic C2v (1A1) isomer 3 (7.8 kcal mol(-1) above the global minimum). However, upon hydrogenation, an inversion in the stability of the species occurs. The planar B7H 2- (C2v, 1A1) isomer 4, originated from the addition of two hydrogen atoms to the doubly antiaromatic B7- isomer 3, becomes the global minimum structure. The second most stable B7H2- isomer 5, originated from the quasi-planar triplet wheel isomer 1 of B7- , was found to be 27 kcal mol(-1) higher in energy. The inversion in stability occurs due to the loss of the doubly aromatic character in the wheel-type global minimum isomer (C6v, 3A1) of B7- upon H2-addition. In contrast, the planar isomer of B7- (C2v, 1A1) gains aromatic character upon addition of two hydrogen atoms, which makes it more stable.

M5H5X (M = Ag, Au, Pd, Pt; X = Si, Ge, P, S): Hydrometal Pentagons with D5h Planar Pentacoordinate Nonmetal Centers

A density functional theory investigation has been presented in this work on M(5)H(5)X hydrometal pentagons (M = Ag, Au, Pd, P) with D(5)(h) planar pentacoordinate nonmetal centers (X = Si, Ge, P, S). The introduction of the nonmetal centers X introduces p aromaticity to M(5)H(5)X complexes. These novel planar complexes are favored in thermodynamics and confirmed to be aromatic in nature. They may be expanded to one, two, or even three dimensions with multiple planar pentacoordinate silicon and other nonmetal centers.

Planar and Pyramidal Tetracoordinate Carbon in Organoboron Compounds

Using previously proposed C(BH)2(CH)2 (16, 17) and C(CH)2B2 (22) systems with a central planar tetracoordinate carbon (ptC) atom linking two three-membered rings as building blocks, a series of stable structures containing two and three ptC centers within a molecule have been designed and computationally studied with the DFT (B3LYP/6-311+G) method. Inclusion of a carbon atom ligated with pi-accepting and sigma-donating boron centers into at least one aromatic ring is critical for stabilization of a planar structure. A square pyramidal configuration at tetracoordinate carbon may be achieved in appropriately strained molecules such as [3.3.3.3]tetraborafenestrane 45 and others by surrounding the carbon with boron-centered ligands.

Neutral Structures with a Planar Tetracoordinated Carbon Based on Spiropentadiene Analogues

Neutral hydrocarbon structures containing a planar tetracoordinated carbon atom are proposed on the basis of quantum chemical calculations. The planarity at the central carbon atom is achieved by using aromaticity for stabilizing a positively charged core moiety that contains the planar atom. This charge is compensated by negatively charged cyclopentadienyl rings fused on the structure, leading to neutral structures. These are found to be stable from a dynamic point of view and are potentially synthesizable through carbene chemistry. These structures can lead to new breakthroughs in the chemical structure theory. A family of species derived from this model is also presented.

C2h (BnEmSi)2H2 Molecules (E = B, C, Si; n = 3−6; m = 1, 2) Containing Double Planar Tetra-, Penta-, and Hexacoordinate Silicons

A density functional theory investigation on a series of S-shaped or cyclic (BnEmSi)2H2 molecules (E = B, C, Si; n = 3-6; m = 1, 2) containing double planar tetra-, penta-, and hexacoordinate silicons has been presented in this work. Further theoretical evidence is provided to support the previously proposed structural pattern to host planar hypercoordinate silicons in small aromatic molecules.

(M4H3X)2B2O2: Hydrometal Complexes (M = Ni, Mg) Containing Double Tetracoordinate Planar Nonmetal Centers (X = C, N)

Geometrical optimizations and electronic structural analyses of the -O(2)B(2)- bridged hydrometal complexes (M(4)H(3)C)(2)B(2)O(2) and (M(4)H(3)N)(2)B(2)O(2)(2+) (M = Ni, Mg) containing double tetracoordinate planar nonmetals (TPN) have been performed using the density functional theory at the B3LYP/6-311+G(d,p) level. Theoretical evidence of the possibility of double TPN centers coexisting in one planar molecule is presented.

Planar Tetra-, Penta-, Hexa-, Hepta-, and Octacoordinate Silicons: A Universal Structural Pattern

A universal structural pattern has been presented at density function theory level to incorporate planar tetra-, penta-, hexa-, hepta-, and octacoordinate silicons in C2v B(n)E2Si series (E = CH, BH, or Si; n = 2-5) and D8h B8Si. The equivalence in valence electron counts and one-to-one correspondence of the delocalized pi and sigma valence orbitals with small boron clusters strongly support the optimized structures containing planar coordinate silicons. Planar B(n)E2Si series are predicted to be aromatic in nature, and the vertical detachment energies of their anions are presented to facilitate future photoelectron experiments. This structural pattern can be applied to form other planar coordinate nonmetals including Ge, P, As, Al, and Ga and needs to be confirmed in experiments to open a new branch of chemistry on planar coordinate main group elements.

Hexacoordinate Planar Main Group Atoms Centered in Hexagonal Hydrocopper Complexes Cu6H6X (X = Si, P, As)

Ab initio theoretical evidence of hexacoordinate planar main group atoms centered in hexagonal hydrocopper complexes Cu(6)H(6)X (X = Si, P, As) is presented at the density functional theory level in this work. The results obtained extend the bonding capacity of silicon, phosphorus, and arsenic to planar hexacoordination in hydrocopper complexes which are important in fundamental research and may shed new insight into catalyst chemistry.