Hybridization in some macrocyclic polyacetylenes

The hybridization in several cyclic polyacetylene compounds has been calculated by the maximum overlap method, assuming planar and non-planar geometries of the molecules. In the planar configuration the hybrids describing the molecular skeleton deviate from the corresponding bond directions. We have a few “bent” bonds, but in contrast to the situation in small rings, here the deviation angles are negative, i.e., the hybrids point toward the inside of the ring. Non-planar structures in which acetylene groups are kept in a plane and CCH₂ or CH₂ groups are displaced out of the plane show less deviation from the bond directions of bent bonds. Furthermore, the deviation angles decrease with an increase in the out-of-plane displacement of methylene groups. Finally, when the angle of bending of the molecules approaches 50°, the deviation vanishes, predicting a puckered conformation for the molecules. Correlation between CC stretching vibration frequencies and the corresponding CC bond overlap is discussed.     

Hybridization in fulvene and some related cycloalkenes by the iterative maximum overlap approximation

The hybrid orbitals in cyclopentadiene, fulvene and 6,6-dimethylfulvene were calculated by the iterative maximum overlap method. The hybridization parameters obtained were then used for the calculation of the proton chemical shifts and spin-spin coupling constants J(¹³C-¹H) of the directly bonded carbon and hydrogen nuclei. They can be favourably compared with available experimental data. The predicted bond lengths and bond angles are compared with the results of the more sophisticated semiempirical MINDO/2 and MINDO/3 methods. It is shown that the iterative maximum overlap method gives equally good, or sometimes even better, agreement with experiment. The calculated bond lengths and angles have been used for prediction of molecular diamagnetic susceptibilities by using the additivity formulae of Maksi? and Bloor. The results are within experimental error.     

Crystal and molecular structure of polyunsaturated macrobicyclic carbosilane C24H38Si6

The crystal and molecular structure of the polyunsaturated macrocyclic carbosilane 1,4,4,7,7,10,13, 13,16,16-decamethyl-1,4,7,10,13,16-hexasilabicyclo-[8.8.2]-eucosa-5,14-diene-2,8,11,17-tetrain containing SiC(sp), SiC(sp ²), and SiC(sp ₃) endocyclic bonds was studied by XRD. The two strained 12-membered rings of this molecule have different (trans-zigzag and staggered) conformations. The lengths of the endocyclic bonds SiC(sp) are 1.821–1.852 Å, SiC(sp ²) 1.855–1.874 Å, and SiC(sp ³) 1.847–1.853 Å. The structure of the rings was solved by direct methods and refined by the full-matrix least-squares method. Calculations were carried out with SHELXTL PLUS 5.1 software.     

Structures of polyfluoroaromatic compounds. Part VI [1]. Crystal structure of 3H,3′H-4,4′-dinitrohexafluorodiphenyl sulphide

Crystals of the title compound are tetragonal, with unit cell dimensions a = b = 6.10(1), c = 37.16(2) Å, space group P4₁2₁2. The structure has been determined from 780 three-dimensional counter data and refined to a value of 4.5% for the conventional discrepancy factor R. Estimated standard deviations average 0.006 Å for bond lengths and 0.5° for bond angles. The molecule has C₂ symmetry. The symmetry-related aromatic rings are each inclined at an angle of 61° to the C-S-C plane. The length of the C-S bond, 1.771(4) Å, corresponds closely to that expected for a single bond between sulphur and sp²-hybridized carbon. The bond angle at sulphur is 99.7(3)°, some 4° smaller than the angle in unfluorinated diaryl sulphides.     

Steric effects in conjugated systems: II. 2,3-Dimethylbutadiene

Based on earlier results of conformational analysis by the Wiberg method¹ of monosubstituted methylbutadienes, analogous calculations for 2,3-dimethylbutadiene have been carried out. Contrary to the opinion of Aten et al.² who assumed almost free rotation, the molecule was shown to exhibit a considerable strain which hinders the rotation of methyl groups and lengthens the C_sp²-C_sp² bond compared with the length of the central bond in butadiene. The calculated lengthening agrees qualitatively with that obtained by electron diffraction¹.     

The geometry of small rings—IV: Molecular geometry of cyclopropene and its derivatives

Numeric structural data for 34 derivatives of cyclopropene and cyclopropenium ion have been retrieved from the Cambridge Crystallographic Database and analysed in conjunction with available gas-phase results. Geometric data indicate that the vinylic C atoms in cyclopropene use sp^1.19 hybrids in bond formation to substituents and contribute sp^2.68 hybridges to the ring σ-framework. The D_3h-symmetric cyclopropenium ion has a bond length of 1.373(3)Å, which can be related to distances in unstrained systems. Comparison of data for cyclopropenylidenes and 3,3-difluorocyclopropene with analogous cyclopropanes shows that π-donor effects (distal bond lengthening, vicinal bond shortening) are apparent in cyclopropene. Rehybridization and π-donation are largely responsible for cyclopropenylidene geometry, rather than significant contributions from dipolar and pseudo-aromatic resonance forms. Insufficient data exist to quantify the effect of π-acceptor substituents on cyclopropene, but some lengthening of vicinal bonds is apparent. Three major bonding patterns are exhibited by organomental derivatives of cyclopropenium and cyclopropene.     

Ab initio studies of structural features not easily amenable to experiment: Part 20. Structural aspects of ethyl groups

The molecular structures of a number of stable conformations of ethanol, ethylamine, methylethyl ether, methylethylamine and of the ethyl anion have been determined by ab initio geometry optimizations using Pulay's Force method on the 4–21G level. The calculated geometries characterize the extent to which structural groups in a molecule are sensitive to asymmetries in their environment. Characteristic structural trends are consistently found for the CH bond distances and CCH angles in the C₂H₅ groups of trans-ethanol, trans-methylethyl ether and in the ethyl anion. They differ from those previously found for C₂H₅ groups in hydrocarbons. There is qualitative disagreement between the trends calculated for CH bond distances in trans-ethanol and trans-methylethyl ether and those found in the microwave substitution structures of these compounds. Since the substitution parameters are unresolved because of relatively large experimental or model uncertainties, it is presently impossible to decide whether this discrepancy is the result of computational or experimental deficiency. The methyl groups in methylethyl ether and methylethylamine exhibit the characteristic structural distortions which are usually found for CH₃ groups adjacent to electron lone pairs. The CC bond distances in C₂H₅ in the systems studied here are sensitive to the conformational arrangement of ethyl relative to the rest of a system in a way which can be rationalized by orbital interactions involving antibonding orbitals on sp³-hybridized carbon atoms. The calculated conformational stabilities agree qualitatively with experimental trends, except in the case of ethanol where the trans — gauche energy difference is small (about 0.1 kcal mol^?1) and within the uncertainties of the calculations. Our conformational energies for CH₃CH₂NH₂ are in disagreement with a previous ab initio investigation based on a comparison of unoptimized standard geometries. In general, the agreement between calculated structural parameters and corresponding reliable experimental values is very good in all comparable cases.     

Engineering Crystals Using sp3-C Centred Tetrel Bonding Interactions

1,1,2,2-Tetracyanocyclopropane derivatives 1 and 2 were designed and synthesized to probe the utility of sp³-C centred tetrel bonding interactions in crystal engineering. The crystal packing of 1 and 2 and their 1,4-dioxane cocrystals is dominated by sp³-C(CN)₂⋅⋅⋅O interactions, has significant C⋅⋅⋅O van der Waals overlap (≤0.266 Å) and DFT calculations indicate interaction energies of up to −11.0 kcal mol⁻¹. A cocrystal of 2 with 1,4-thioxane reveals that the cyclopropane synthon prefers interacting with O over S. Computational analyses revealed that the electropositive C₂(CN)₄ pocket in 1 and 2 can be seen as a strongly directional ‘tetrel-bond donor’, similar to halogen bond or hydrogen bond donors. This disclosure is expected to have implications for the utility of such ‘tetrel bond donors’ in molecular disciplines such as crystal engineering, supramolecular chemistry, molecular recognition and medicinal chemistry.     

NMR studies of conformations and dynamic processes—1 : [24]cyclophanes with ethylene bridges

The conformations and dynamic processes in a series of relatively unstrained [2₄]paracyclophanes (with one, two or four -CH₂-CH₂-bridges) and some closely related compounds have been analysed. Their ¹NMR spectra have been recorded at low temperatures and the temperature dependence rationalised as being due to essentially two types of dynamic process-the torsional motion around the sp³-sp³ C-C bonds in the bridges, and the rotation around the sp²-sp³ C-C bonds adjacent to the benzene rings. The barriers to the former process are similar for the series of cyclophanes 1–6 and are due to steric and electronic interactions in the syn-oriented transition states. In cyclophanes 7–9, in which anti-orientations of the aromatic rings are possible, the barriers are lower. The latter process, involving the rotation of the benzene rings, becomes important at temperatures below 150 K and has not been further analysed.     

The crystal and molecular structure of hexadecaphenyloctasiloxyspiro(9,9)titanate(IV)

The crystal and molecular structures of the title compound have been determined by single crystal X-ray diffraction methods. In the spiro molecule, the metal atom has a geometry very close to tetrahedral, with OTiO angles of 107.9–111.0(2)° and very short TiO bonds of length 1.777–1.791(5)Å. The two TiO₅Si₄ rings have different, ill-defined conformations; the SiO bond lengths and SiOSi angles are similar to those in (SiO)_n rings.     

Beiträge zur Chemie des Hydrazins und seiner Derivate. 52. Kristall- und Molekülstrukturen der tert.-Butyloxycarbonylderivate von Cyclotetraschwefeldihydrazid und Cyclohexaschwefelhydrazid

Contributions to the Chemistry of Hydrazine and its Derivatives. 52. Crystal and Molecular Structures of the tert.-Butyloxycarbonyl Derivatives of Cyclotetrasulfurdihydrazide and Cyclohexasulfurhydrazide The structures of the tert.-butyloxycarbonyl derivatives of cyclotetrasulfurdihydrazide and cyclohexasulfurhydrazide were determined by X-ray analyses. Both sulfur(II)-nitrogen rings exist in crown conformation and contain only sp²-hybridized nitrogen atoms. Bond lengths, bond angles, and dihedral angles are discussed.     

COSMIC(90): An improved molecular mechanics treatment of hydrocarbons and conjugated systems

Summary Four modifications to the COSMIC molecular mechanics force field are described, which greatly increase both its versatility and the accuracy of calculated conformational energies. The Hill non-bonded van der Waals potential function has been replaced by a two-parameter Morse curve and a new H-H potential, similar to that in MM3, incorporated. Hydrocarbon energies in particular are much improved.A simple iterative Hückel pi-electron molecular orbital calculation allows modelling of conjugated systems. Calculated bond lengths and rotational barriers for a series of conjugated hydrocarbons and nitrogen heterocycles are shown to be as accurate as those determined by the MM2 SCF method.Explicit hydrogen-bonding potentials for H-bond acceptor-donor atom pairs have been included to give better hydrogen bond energies and lengths. The van der Waals radii of protonic hydrogens are reduced to 0.5 Å and the energy well depth is increased to 1.0 kcal mol^-1.Two new general atom types, N⁺ _sp ² and O^- _sp ³ , have been introduced which allow a wide variety of charged conjugated systems to be studied. A minimum of parameterisation is required, as the new types are easily included in the Hückel scheme which automatically adjusts bond and torsional parameters according to the defined bond-order relationships.     

1,5-Diamino-1H-1,2,3,4-tetrazolium picrate: X-ray molecular and crystal structures and ab initio MO calculations

The crystal and molecular structures of 1,5-diamino-1H-1,2,3,4-tetrazolium picrate (DATP) were determined by X-ray diffraction analysis. The tetrazolium cation in DATP has a structure with protonated N4 atom of the ring. Two amino groups in the cation are found to be rather different. The 5-amino group lies in the plane of the tetrazole ring and valence angles around the N atom are close to 120°, which indicates sp² hybridization of atomic orbital of the nitrogen atom. In contrast, valence angles around the N atom of the 1-amino group are close to tetrahedral angle, which suggests sp³ hybridization. The exocyclic C-N bond in the cation is substantially shorter than that in 1,5-diaminotetrazole. The obtained results indicate a conjugation between the π-system of the tetrazole ring and the 5-amino group. The results of ab initio calculations of electronic structure and relative stability for various tautomeric forms of protonated 1,5-diaminotetrazole using MP2/6-31G* and B3LYP/6-31G* levels of theory are in a good agreement with X-ray data and show that there are differences in σ-electron overlap populations for the C-N bonds in the cation in DATP, while π-electrons are delocalized.     

Solvent-free cyclopalladation on silica gel

Tertiary, secondary and primary benzylamines, as well as structurally different oxazolines readily reacted with Pd(OAc)₂ on silica gel to form cyclopalladated complexes containing a five or six-membered palladacycle with a (sp²)C-Pd or (sp³)C-Pd bond. The complexes were obtained in 45-98% yield, which is comparable with or exceeds the yields reported for preparation of the same compounds in solution. Aliphatic (sp³)C-H bond activation took place in the cyclopalladation of (S)-2-tert-butyl-4-phenyl-2-oxazoline on SiO₂ leading to the exclusive formation of the corresponding endo palladacycle, whereas two products were reported for the same reaction performed in AcOH.     

Theoretical study of the electronic spectrum of diimide by AB initio methods

A series of ab initio calculations is reported for the ground and low-lying valence and Rydberg states of diimide N₂H₂. Symmetric bending potential curves for both the cis and trans forms of this system have been obtained at the SCF level of treatment. In addition Cl calculations have been carried out for the trans-diimide ground state equilibrium nuclear conformation, using a configuration selection procedure described elsewhere; an associated energy extrapolation scheme is also employed which enables the effective solution of secular equations with orders of up to 40000. The ensuing Cl wavefunctions are interpreted in the discussion and the corresponding calculated energy differences between the various electronic states are compared with experimental transition energy results for both diimide and for related systems such as trans-azomethane. A more detailed analysis of the observed absorption bands in the ¹B_g-X¹A_g transition in N₂H₂ is also given, making use of calculated potential curve data as well as the pertinent Cl vertical energy difference. The dipole-forbiddenness of the excitation process is thereupon concluded to result in a distinct non-verticality for this electronic band system, causing its absorption maximum to occur at a position some 0.6 eV to the blue of the so-called vertical transition, i.e., that for which maximum vibrational overlap is obtained.     

Molecular structures of (575)macrotricyclic 3<Emphasis Type="Italic">d</Emphasis>-metal chelates in M(II)–N-methylthiocarbohydrazide–hexanedione-2,5 according to density functional theory calculations

The geometric parameters of the molecular structures and thermodynamic parameters of macrotricyclic M(II) (M = Mn, Fe, Co, Ni, Cu, Zn) complexes with an MN₂S₂ chelate core formed by the template reactions of the M(II) with N-methylthiocarbohydrazide H₃C–HN–HN–C(=S)–NH–NH₂ and hexanedione- 2,5 H₃C–C(=O)–CH₂–CH₂–C(=O)–CH₃ have been calculated by the DFT method with the Gaussian09 program package. The bond lengths, bond angles, and some nonbonded angles in these complexes have been determined. In all the complexes, the M(II) central ion is pseudotetrahedrally coordinated by the donor atoms of an inner-sphere tetradentate ligand; the (N₂S₂) group of the donor atoms is not planar. The additional seven-membered chelate rings show significant deviations from coplanarity (>60°). The noncoplanatiry of the five-membered rings is less pronounced.     

Multiple metal-metal bonding and A-chain integrity in superconducting A3B (β-tungsten) alloy

Charge overlap and molecular orbital energies for the -(M₂)- linear chain unit are computed for selected transition metals. For valid comparison, uniform parameters are used starting with the type of dⁿsp excited configuration of the atoms that is favorable to linear digonal hybrid bonding. Stabilities of the chains are then compared. Bond order and bond energies of σ, π, and δ bonds for the d molecular orbitals are deduced. Results support the existence of linear chains of group V or group VI atoms as the A atoms in superconducting A₃B alloys. Conjugated resonance structures are drawn for all multiple bonds in the chains. A possible relationship between chain integrity (and conjugation) and conductivity in such alloys is suggested.     

The isomers of 3-methyl pentene-2; configurational assignment and molecular structure by electron diffraction

The two isomers of 3-methyl pentene-2 have been investigated in the vapour phase by electron diffraction. The higher boiling isomer (70.4 °C) has the E-configuration and the isomer boiling at 67.7 °C has the Z-configuration. Bond distances in the E-isomer are: r(CC) = 1.349, r(Csp²-Csp³) = 1.511, r(C-C) = 1.551, r(C-H) = 1.116 Å; in the Z-isomer: r(CC) = 1.344, r(Csp²-Csp³) = 1.508, r(C-C) = 1.553, r(C-H) = 1.114 Å. In both compounds the Csp³-Csp³ bond is at approximately right angles to the plane containing the double bond. The possibility of non-planar arrangements around the double bond is discussed.     

Electron diffraction study of the trichloromethyltrichlorogermane molecular structure and estimation for torsional barrier

The molecular geometry (in terms of r_a and r_g internuclear distances) and mean amplitudes of vibration of CCl₃GeCl₃ have been determined by electron diffraction. The bond lengths are similar to those found in analogous molecules. Although bond angles of unambiguous physical definition have not been determined it is established that the carbon and germanium bond configurations deviate little from the regular tetrahedral arrangement. The molecule performs large amplitude motion around the carbon-germanium bond. The torsional barrier was estimated to be 1.1 kcal mole^?1 using J. Karle's method [8].