N-Carbamoyl-DL-aspartic acid

CsHaN205, PL a = 6.438 (2), b = 7.486 (3), c = 8.048 (4)A, a = 72.2(1), fl = 80.8(1), y = 76.4 (1) °, D m = 1.65 (1) (flotation), D c = 1.64 Mg m -3, Z = 2. Final R = 0.095 for 1205 observed reflections. The molecule assumes the sterically least favourable conformation with the side chain carboxyl group staggered between the a-carboxyl group and the N atom attached to C '~. The ureido group takes part in two specific interactions involving two nearly parallel hydrogen bonds in one and two convergent hydrogen bonds in the other.

Structure of pentacyclo[7.4.2.02,6.06,15.011,14]pentadec-4-ene-7,13-dione, a novel pentacyclic C15 quinane system

C 15H 1602 (a synthetic precursor to dodecahedrane), monoclinic, P21/n, a = 12.171 (5), b = 6.976(5), c = 13.868 (3) A, B = 102.56 (3) ° , Z = 4, D m = 1.30, D c = 1.318 g cm -3, F(000) = 488, g(Mo K¢t) = 0.92 cm- 1. Intensity data were collected on a Nonius CAD-4 diffractometer and the structure was solved by direct methods. Full-matrix least-squares refinement gave R = 0.077 (R w = 0.076) for 1337 observed reflections. All the five-membered rings are cis fused and have envelope (C s symmetry) conformations.

Natural Abundant Solid State NMR Studies in Designed Tripeptides for Differentiation of Multiple Conformers

Solid state NMR (SSNMR) experiments on heteronuclei in natural abundance are described for three synthetically designed tripeptides Piv-(L)Pro_(L)Pro-(L)Phe-OMe (1), Piv-(D)Pro_(L)Pro_(L)Phe-OMe (2), and Piv-(D)Pro_(L)Pro_(L)Phe-NHMe (3). These peptides exist in different conformation as shown by solution state NMR and single crystal X-ray analysis (Chatterjee et al., Chem Eur J 2008, 14, 6192). In this study, SSNMR has been used to probe the conformations of these peptides in their powder form. The C-13 spectrum of peptide (1) showed doubling of resonances corresponding to cis/cis form, unlike in solution where the similar doubling is attributed to cis/trans form. This has been confirmed by the chemical shift differences of C-beta and C-gamma carbon of Proline in peptide (1) both in solution and SSNMR. Peptide (2) and (3) provided single set of resonances which represented all transform across the di-Proline segment. The results are In agreement with the X-ray analysis. Solid state N-15 resonances, especially from Proline residues provided additional information, which is normally not observable in solution state NMR. H-1 chemical shifts are also obtained from a two-dimensional heteronuclear correlation experiment between H-1-C-13. The results confirm the utility of NMR as a useful tool for identifying different conformers in peptides in the solid state. (C) 2009 Wiley Periodicals, Inc. Biopolymers 91: 851-860, 2009.

Polarized Ethylenes: Structures of (l,3-Dimethyl-2-imidazolidinylidene)malononitrile and (l,3-Dimethyl-2-perhydropyrimidinylidene)malononitrile

Crystal structures of the title compounds, (I) and (II), have been determined by three-dimensional diffraction methods. Crystals of CsHIoN 4 (I) are monoclinic, space group P21/a with Z = 4, Mr= 162, a = 7.965 (1), b = 16.232 (2), c = 7.343 (1) A, fl = 113.54 (1) °, V = 890.7 A 3, D,n = 1.218, D x = 1.208 gcm -3, g(Cu Ka, 2 = 1.5418/~) = 6.47 em -1, F(000) = 344. The crystals of C9H12N4 (II) are orthorhombic, space group P21en, with Z = 4, Mr = 176, a = 7.983 (3), b = 8.075 (2), c = 14.652 (3) ./k, V = 44.43/~3, Dm= 1.219, D x = 1.237 g cm -3, #(Mo Ka, ). = 0.7107 ,/k) = 0.868 cm -1, F(000) = 376. Both structures were solved by direct methods and refined to R = 5.8% for (I) and 5.3 % for (II). The C-C double-bond distances are 1.407 (3) in (I) and 1.429 (6)/~ in (II), appreciably longer than normal. The steric and push-pull effects result in rotation about the C=C bond, the rotation angles being 20.2 (3) in (I) and 31.5 (6) o in (II).

L-Tyrosyl-L-glutarnie Acid Monohydrate, C14H18N206.H20

Mr=328.32, triclinic, P1, a=5.801 (1), b=7.977(1), c=9.110(2)A, ~t=102.33 (1), fl= 97.92 (1), y= 109.82 (1) °, v= 377.2 (1) A 3 at 293 K, Z=I, D x=1.45, D m=1.45 g cm -3, 2(MoKs)= 0.7107 A, ~ = 0.74 cm -1, F(000) = 174.0. R = 0.046 for 990 unique observed [F o > 4O(Fo)] reflections. The crystal structure is stabilized by extensive hydrogen bonding involving all N and O atoms.

Geometric Representation of Graphs in Low Dimension Using Axis Parallel Boxes

An axis-parallel k-dimensional box is a Cartesian product R-1 x R-2 x...x R-k where R-i (for 1 <= i <= k) is a closed interval of the form [a(i), b(i)] on the real line. For a graph G, its boxicity box(G) is the minimum dimension k, such that G is representable as the intersection graph of (axis-parallel) boxes in k-dimensional space. The concept of boxicity finds applications in various areas such as ecology, operations research etc. A number of NP-hard problems are either polynomial time solvable or have much better approximation ratio on low boxicity graphs. For example, the max-clique problem is polynomial time solvable on bounded boxicity graphs and the maximum independent set problem for boxicity d graphs, given a box representation, has a left perpendicular1 + 1/c log n right perpendicular(d-1) approximation ratio for any constant c >= 1 when d >= 2. In most cases, the first step usually is computing a low dimensional box representation of the given graph. Deciding whether the boxicity of a graph is at most 2 itself is NP-hard. We give an efficient randomized algorithm to construct a box representation of any graph G on n vertices in left perpendicular(Delta + 2) ln nright perpendicular dimensions, where Delta is the maximum degree of G. This algorithm implies that box(G) <= left perpendicular(Delta + 2) ln nright perpendicular for any graph G. Our bound is tight up to a factor of ln n. We also show that our randomized algorithm can be derandomized to get a polynomial time deterministic algorithm. Though our general upper bound is in terms of maximum degree Delta, we show that for almost all graphs on n vertices, their boxicity is O(d(av) ln n) where d(av) is the average degree.

Carbohydrate binding specificity of the basic lectin from winged bean (Psophocarpus tetragonolobus)

The carbohydrate binding specificity of the basic lectin from winged bean (Psophocarpus tetragonolobus) was investigated by quantitative precipitin analysis using blood group A, B, H, Le and I substances and by precipitation inhibition with various mono- and oligosaccharides. The lectin precipitated best with A1 substances and moderately with B and A2 substances, but not with H or Le substances. Inhibition assays of lectin-blood group A1 precipitation demonstration that A substance-derived oligosaccharides having the common structure: d-Ga1NAcα(1 → 3)d-Gal-(β1 → Image ) to a d-Glc, were the best inhibitors and about 8 and 4 times more active than d-Ga1NAc and d-Ga1NAcα(1 → 3)d-Ga1, respectively. A difucosyl A-specific oligosaccharide (A-penta), a monofucosyl (A-tetra) and a non-fucosyl containing (A5 II) oligosaccharide, d-Ga1NAcα(1 → 3)d-Ga1β(1 → 3)d-G1cNAc, had almost the same reactivity, suggesting that the fucose linked to the sub-terminal d-Ga1 or to the third sugar, d-GlcNAc, from the non-reducing end made no contribution to the carbohydrate binding. Although a terminal non-reducing d-Ga1NAc or d-Ga1 residue was indispensible for binding, the lectin bound not only to these terminal non-reducing galactopyranosyl residues, but also showed increased binding to oligosaccharides in which it was bonded to a sub-terminal d-Ga1 joined to a d-GlcNAc residue, as in blood group A or B substances. This defines the site, thus far, as complementary to a disaccharide plus the β linkage to the third sugar (d-Glc or d-GlcNAc) from the non-reducing end. The role of the β(1 → 3) or β(1 → 4) linkage of the sub-terminal non-reducing d-Gal to the d-GlcNAc requires further study.

Dipole moments and structure of some organoselenium compounds

The dipole moments of di-p-tolyl selenide (1.74 D), di-p-tolyl selenide (1.00 D), di-m-tolyl selenide (1.66 D), di-p-anisyl selenide (2.35 D) and di-p-tolyl selenium dichloride (3.69 D) have been determined in benzene at 35°. The results are analysed in terms of mesomeric effects and internal rotation in these systems. The dipole moments of a few aliphatic selenides have been theoretically evaluated.

Kinetic theory for the density plateau in the granular flow down an inclined plane

The striking lack of observable variation of the volume fraction with height in the center of a granular flow down an inclined plane is analysed using constitutive relations obtained from kinetic theory. It is shown that the rate of conduction in the granular energy balance equation is O(delta(2)) smaller than the rate of production of energy due to mean shear and the rate of dissipation due to inelastic collisions, where the small parameter delta = (d/(1 - e(n))H-1/2), d is the particle diameter, en is the normal coefficient of restitution and H is the thickness of the flowing layer. This implies that the volume fraction is a constant in the leading approximation in an asymptotic analysis in small delta. Numerical estimates of both the parameter delta and its pre-factor are obtained to show that the lack of observable variation of the volume fraction with height can be explained by constitutive relations obtained from kinetic theory.

Structure of 2',3'-O-isopropylideneguanosine dimethylsulfoxide solvate

CI3H17N5Os.C2H6OS, Mr=401.23, orthorhombic,P21212 p grown from Me2SO, a = 10.749 (2),b = 13.219 (2), c = 14.056 (2) A, V= 1997-23 A 3, Z =4, D_=1.40, D x=l.335Mgm -3, 2(CuKa)= 1.5418/~', g = 1.694 mm -~, F(000) = 848.00, T=293K, R =0.0538, wR =0.0634 for 2105 unique reflections with F > 3o(F). The asymmetric unit contains one nucleoside molecule with a disordered solvent Me2S_O molecule. The geometry about the C(4')-C(5') bond is gauche-gauche. The guanosine base is in the anti conformation with the furanose ring having C(3')-exo (E 3) puckering. The bases do not show any stacking in contrast to other guanosine-containing structures. The crystal structure is stabilized by N--H...N and N--H...O hydrogen bonding.

Structure of 6,5'-anhydro-6-hydroxy-2',3' O-isopropylideneuridine

CI2HI4N206, Mr=282"3, orthorhombic,P21212 t, a = 10.412 (2), b = 14.936 (2), c =16.651(3),/k, V=2589.46A 3, Z--8, Din= 1.450, D x = 1.447 Mg m -3, 2(Cu Kct) = 1.5418/~, # =0.902mm -~, F(000)-- 1184.00, T= 293 K, R = 0.039, wR--0.038 for 2548 unique reflections with F > 3a(F). The two crystallographically independent molecules in the asymmetric unit have similar geome-tries with the ribose ring having an O(4')-exo, C(4')-endo pucker and the uracil base in the anti conformation.The geometry about the exocyclic C(4')-C(5') bond in both molecules is gauche-gauche. The dioxolane ring assumes twist conformations in both molecules.

Structure of 6-acetoxycoumarin: topochemical photodimerization and analysis of acetoxy...acetoxy interactions in the solid state

C~HaO 4, Mr=204.2, monoclinic, P2Jn,a=3.900(1), =37.530(6), c=6.460(1)A, fl=103.7 (1) °, V= 918.5 (5) A 3, Z = 4, D m = 1.443, D x --- 1.476 Mg m -3, Cu Ks, 2 = 1.5418 ,/k, /t = 0.86 mm -~, F(000) = 424, T= 293 K, R = 0.075 for 1019 significant reflections. Molecules pack in fl-type stacking mode which is characterized by the close packing of parallel and nearly planar reactive double bonds with a separation of 3.900/~ along the a axis.The syn head-head dimer obtained is the direct consequence of this packing arrangement. Molecular packing is stabilized by intermolecular C-H...O hydrogen bonding. Analysis of acetoxy...acetoxy interactions in the acetoxy compounds retrieved from the Cambridge Structural Database reveal that the majority of them are anti-dipolar.

Structure of L-Arginyl-L-aspartie Acid Dihydrate

C~0H~gN5Os.2H20, Mr=325.32, monoclinic,P2~, a = 12.029 (2), b=4.904 (2), c=13.215 (2) A, fl= 107.68 (2) ° , F= 743 (1) A 3, Z= 2,D m = 1-45, D x = 1.45 Mg m -3, Cu Ka, 2 = 1.54184 A,fl= 1.01mm -1, F(000)=348, T=293K. The final R value for 1277 observed reflections 110 >_ 3tr(Io)l is 0.031. The dipeptide exists as a zwitterion. The arginyl side-chain conformation is similar to that found in arginyl-glutamic acid [Pandit, Seshadri & Viswamitra (1983). Acta Cryst. C39, 1669-16721. The guanidyl group forms a pair of hydrogen bonds with oxygen atoms of the backbone carboxyl group. The crystal structure is also stabilized by -bonding interactions involving both water molecules.

Structure of N2-carbamoyl-L-asparagine

CsH9N304, M r= 175.1, orthorhombic,P212~2 ~, a = 7.486 (1), b = 9.919 (2), c =20.279 (2) A, V= 1505.8 A 3, z = 8, D x = 1.54, D m = 1.60 Mg m -3, ~,(Cu Ka) = 1.5418 A, g = 1. I I mm -~, F(000) = 736, T = 300 K, final R = 0.032 for 1345 observed reflections. The two independent molecules in the asymmetric unit are related by a pseudo twofold axis, with the asparagine side chains having different conformations [X 2 being -132.1 (3) and 139.6 (2)°]. The crystal structure is stabilized by extensive hydrogen bonding, with a specific interaction between the carboxyl group of one molecule and the carbamoyl group of another forming hydrogen-bonded chains.

Studies in nonlinear optical materials: structure of di-2-menthyl 2-(N,N'-dimethyl-2-imidazolidinylidene)malonate monohydrate

C28H48N2Oa.H2 O, Mr=494.7, orthorhombic,P2~2~2~, a = 7.634 (2), b = 11.370 (2), c=34. 167 (4) A, V = 2966 (2) A 3, Z = 4, D m = 1.095,D x -- 1. 108 g cm -3, Mo Kct, 2 -- 0.7107 ,/k, ~ =0.43 cm -~, F(000) = 1088.0, T= 293 K, R = 0.061 for 1578 significant reflections. The second-harmonicgeneration (SHG) efficiency of this compound is negligible (1/100th of the urea standard). The observed low second-order nonlinear response has been attributed to the unfavourable packing of the molecules in the crystal lattice.