TL;DR: In this article, the geometries of low-lying isomers of phosphorus clusters P2 to P8 have been calculated using a density functional (DF) method, combined with molecular dynamics (MD) and simulated annealing techniques.
Abstract: The geometries of low‐lying isomers of phosphorus clusters P2 to P8 have been calculated using a density functional (DF) method, combined with molecular dynamics (MD) and simulated annealing techniques. The structures and vibration frequencies are in excellent agreement with experiment in those cases (P2, P4) where spectroscopic data are available. A roof‐shaped tetramer is a prominent structural unit in low‐lying states of P5, P6, P7, and P8. Contrary to widespread belief, the most stable isomer of P8 is not cubic, but the ‘‘wedge’’ or ‘‘cradle’’ structure found as a structural unit in violet (monoclinic, Hittorf) phosphorus. The energetic ordering and geometrical shapes of the P8 isomers show striking analogies to the corresponding valence‐isoelectronic hydrocarbons (CH)8 cubane, cuneane, and 2,2’:4,4’‐bis‐(bicyclobutyl). The bonding and structural trends in phosphorus clusters are discussed in detail.
TL;DR: In this article, the mass spectrum of cationic phosphorus clusters produced in direct laser vaporization was optimized with density functional calculations and the most stable cuneane P8 as building units for larger clusters.
TL;DR: Crystals of dimethyl 2,6-cuneanedicarboxylate are disordered; the substitution pattern and structure have been confirmed by determination of the X-ray crystal structure of the corresponding diacid.
Abstract: [reaction: see text] This study is a multinational, multidisciplinary contribution to the thermochemistry of dimethyl1,4-cubanedicarboxylate and the corresponding isomeric, cuneane derivative and provides both structural and thermochemical information regarding the rearrangement of dimethyl 1,4-cubanedicarboxylate to dimethyl 2,6-cuneanedicarboxylate. The enthalpies of formation in the condensed phase at T = 298.15 K of dimethyl 1,4-cubanedicarboxylate (dimethyl pentacyclo[4.2.0.0.(2,5)0.(3,8)0(4,7)]octane-1,4-dicarboxylate) and dimethyl 2,6-cuneanedicarboxylate (dimethyl pentacyclo[3.3.0.0.(2,4)0.(3,7)0(6,8)]octane-2,6-dicarboxylate) have been determined by combustion calorimetry, delta(f) H(o)m (cr)/kJ x mol(-1) = -232.62 +/- 5.84 and -413.02 +/- 5.16, respectively. The enthalpies of sublimation have been evaluated by combining vaporization enthalpies evaluated by correlation-gas chromatography and fusion enthalpies measured by differential scanning calorimetry and adjusted to T = 298.15 K, delta(cr) (g)Hm (298.15 K)/kJ x mol(-1) = 117.2 +/- 3.9 and 106.8 +/- 3.0, respectively. Combination of these two enthalpies resulted in delta(f) H(o)m (g., 298.15 K)/kJ x mol(-1) of -115.4 +/- 7.0 for dimethyl 1,4-cubanedicarboxylate and -306.2 +/- 6.0 for dimethyl 2,6-cuneanedicarboxylate. These measurements, accompanied by quantum chemical calculations, resulted in values of delta(f) Hm (g, 298.15 K) = 613.0 +/- 9.5 kJ x mol(-1) for cubane and 436.4 +/- 8.8 kJ x mol(-1) for cuneane. From these enthalpies of formation, strain enthalpies of 681.0 +/- 9.8 and 504.4 +/- 9.1 kJ x mol(-1) were calculated for cubane and cuneane by means of isodesmic reactions, respectively. Crystals of dimethyl 2,6-cuneanedicarboxylate are disordered; the substitution pattern and structure have been confirmed by determination of the X-ray crystal structure of the corresponding diacid.
TL;DR: In this article, the results of geometry optimized ab initio SCF MO calculations with 4-31G * and 6-31g * basis sets for P 8 in the cubane, octabisvalene, and cuneane isomeric forms are reported.
Abstract: Phosphorus is known to form a wide range of homoatomic clusters. Known examples that contain the P 8 nucleus are the substituted and anionic clusters P 8 R 4 , P 8 R 6 , and P 8 6- . Although the neutral P 8 naked cluster has never been prepared, there has been theoretical interest in this molecule in recent years. Neutral P 8 would be isoelectronic with (CH) 8 hydrocarbons for wich at least 13 structural isomers have been prepared. We report the results of geometry optimized ab initio SCF MO calculations with 4-31G * and 6-31G * basis sets for P 8 in the cubane, octabisvalene, and cuneane isomeric forms
TL;DR: The octanuclear coordination cage [Ni(8)(L(14Naph))(12)](BF(4))(16) has the core structure of a 'cuneane'--a toplogical isomer of a cube--with a metal ion at each of the eight vertices and bridging ligand spanning each ofthe twelve edges.
Abstract: The octanuclear coordination cage [Ni8(L14Naph)12](BF4)16 has the core structure of a ‘cuneane’ - a toplogical isomer of a cube - with a metal ion at each of the eight vertices and bridging ligand spanning each of the twelve edges; this is the only possible 8-vertex polyhedron other than a cube that will form a cage in which each metal is connected to three others.