Information Theoretic Results for Three-User Cognitive Channels

In this paper, we introduce the three-user cognitive radio channels with asymmetric transmitter cooperation, and derive achievable rate regions under several scenarios depending on the type of cooperation and decoding capability at the receivers. Two of the most natural cooperation mechanisms for the three-user channel are considered here: cumulative message sharing (CMS) and primary-only message sharing (PMS). In addition to the message sharing mechanism, the achievable rate region is critically dependent on the decoding capability at the receivers. Here, we consider two scenarios for the decoding capability, and derive an achievable rate region for each one of them by employing a combination of superposition and Gel'fand-Pinsker coding techniques. Finally, to provide a numerical example, we consider the Gaussian channel model to plot the rate regions. In terms of achievable rates, CMS turns out to be a better scheme than PMS. However, the practical aspects of implementing such message-sharing schemes remain to be investigated.

13C-N.M.R. studies of discotics

13C-N.M.R. spectra of benzene-hexa-n-octanoate (a discotic liquid-crystalline material) show significant differences in the isotropic, mesomorphic and solid states. The presence of four molecules per asymmetric unit is required to explain the results in the solid state.

Crystal and molecular structure of the ammonium salt of the dinucleoside monophosphate d(CpG)

The crystal and molecular structure of the ammonium salt of deoxycytidylyl-(3'-5')-deoxyguanosine has been determined from 0.85 A resolution single crystal X-ray diffraction data. The crystals obtained by acetone diffusion technique at -20 degrees C, are orthorhombic, P212121, a = 12.880(2), b = 17444(2) and c = 27.642(2) A. The structure was solved by high resolution Patterson and Fourier methods and refined to R = 0.136. There are two d(CpG) molecules in the asymmetric unit forming a mini left handed Z-DNA helix. This is in contrast to the earlier reported forms of d(CpG) where the molecules form self base paired duplexes. There are two ammonium ions in the asymmetric unit. The major groove NH+4 ion interacts with N7 of guanines through water bridges besides making H-bonded interactions directly with the phosphate oxygen atoms. A second NH+4 ion is found in the minor groove interacting directly with the phosphate oxygen atoms. Symmetry related molecules pack in such a way that the cytosine base stacks on cytosine and guanine base on guanine. Our structure demonstrates that alternating d(CpG) sequences have the ability to adopt the left handed Z-DNA structure even at the dimer level i.e., in a sequence which is only two base pairs long.

Bonding isomerism in the chelate-exchange reactions of isonitroso-β-keto-imino isomeric nickel(ii) mixed ligand complexes

A novel chelate exchange reaction, leading to the formation of a series of N-alkyl substituent dependent mixed ligand isomeric complexes of the type Ni(R-AB)(AC') and Ni(R-AC)(AB') (Figure 1) are discussed. Here, AB and AC denote two different N-bonded isonitroso-β-keto-imino ligand moieties, while AB' and AC' are the corresponding O-bonded ligand moieties and R is an N-alkyl substituent. The isomeric complexes are suggested to be monomeric, neutral and diamagnetic with an asymmetric square planar geometry. The bonding isomerism of the isonitroso group in these complexes is discussed on the basis of the infrared and proton magnetic resonance spectral studies. A probable mechanism for the preparative route is also proposed.

Crystallization and preliminary X-ray studies of the C-terminal domain of Mycobacterium tuberculosis LexA

The C-terminal domain of Mycobacterium tuberculosis LexA has been crystallized in two different forms. The form 1 and form 2 crystals belonged to space groups P3(1)21 and P3(1), respectively. Form 1 contains one domain in the asymmetric unit, while form 2 contains six crystallographically independent domains. The structures have been solved by molecular replacement.

Optical trapping and transportation of carbon nanotubes made easy by decorating with palladium

Individual carbon nanotubes being substantially smaller than the wavelength of light, are not much responsive to optical manipulation. Here we demonstrate how decorating single-walled carbon nanotubes with palladium particles makes optical trapping and manipulation easier. Palladium decorated nanotubes (Pd/SWNTs) have higher effective dielectric constant and are trapped at much lower laser power level with greater ease. In addition, we report the transportation of Pd/SWNTs using an asymmetric line trap. Using this method carbon nanotubes can be transported in any desired direction with high transportation speed. (c) 2006 Optical Society of America.

Proton-bifurcated C-H center dot center dot center dot(O,O) hydrogen bonds in 2,3-dichloro-6-nitrobenzylaminium chloride

In the crystal structure of the title salt, C7H7Cl2N2O2+ center dot Cl-, the chloride anions participate in extensive hydrogen bonding with the aminium cations and indirectly link the molecules through multiple N+-H center dot center dot center dot Cl- salt bridges. There are two independent molecules in the asymmetric unit, related by a pseudo-inversion center. The direct intermolecular coupling is established by C-H center dot center dot center dot O, C-H center dot center dot center dot Cl and C-Cl center dot center dot center dot Cl- interactions. A rare three-center (donor bifurcated) C-H center dot center dot center dot (O,O) hydrogen bond is observed between the methylene and nitro groups, with a side-on intramolecular component of closed-ring type and a head-on intermolecular component.

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 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.

N-2-(4-Methyl-2-quinolyl)phenyl]acetamide: a P1 structure with Z=4

The title compound, C18H16N2O, crystallizes in the triclinic space group P1, with four independent molecules in the asymmetric unit wherein two molecules have an irregular -ac, -ac, +ap conformation (ap, antiperiplanar; ac, anticlinal), while the other molecules exhibit a different, +ac, +ac, +ap conformation. The planar (r.m.s. deviation = 0.006 A in each of the four molecules) quinoline ring systems of the four molecules are oriented at dihedral angles of 32.8 (2), 33.4 (2), 31.7 (2) and 32.3 (2)degrees with respect to the benzene rings. Intramolecular N-H...N interactions occur in all four independent molecules. The crystal packing is stabilized by intermolecular N-H...O and C-H...O hydrogen bonds, and are further consolidated by C-H...pi and pi-pi stacking interactions centroid-centroid distances = 3.728 (3), 3.722 (3), 3.758 (3) and 3.705 (3) A].

Crystal and molecular structure of sym-homospermidine monohydrate

Sym-homospermidine, [formula; see text] is a naturally occurring rare-polyamine found in relatively large concentration in sandal leaves. As part of our studies on structure and interactions of polyamines, ym-homospermidine was purified from sandal leaves and its structure was determined by single crystal X-ray diffraction technique. The phosphate salt of the molecule crystallized in the triclinic space group P1- with a = 8.246(1)A, b = 8.775(1)A, c = 15.531(2)A, alpha = 74.20(1) degrees, beta = 88.36(1) degrees and gamma = 65.41(1) degrees. The structure was determined by direct methods and refined to a final R factor of 5.4% for 2087 reflections with magnitude of F(obs) greater than 5 sigma [F(obs)]. The amine exists in its most favourable all trans conformation. For each amine molecule three phosphate groups exist in the crystal structure, suggesting that two of the oxygens of each phosphate group are protonated. There is also a single water molecule in the asymmetric unit in contrast to that of spermidine phosphate which has 3 water molecules. These differences probably reflect the hydrogen bonding properties of mono-ionic and di-ionic phosphate groups. The structure is predominantly stabilized by a network of hydrogen bonds.

b-Turn conformations in crystal structures of model peptides containing a,a-di-n-propylglycine (Dpg) and a,a-di-n-butyl-glycine (Dbg).

The crystal state conformations of three peptides containing the a,a-dialkylated residues, a,adi n-propylglycine (Dpg) and a,@-di-n-butylglycine (Dbg), have been established by x-ray diffraction. Boc-Ala-Dpg-Ala-OMe ( I ) and Boc-Ala-Dbg-Ala-OMe (III) adopt distorted type II @-turn conformations with Ala ( I ) and Dpg/Dbg (2) as the corner residues. In both peptides the conformational angles at the Dxg residue (I: 4 = 66.23 J/ = 19.3'; III: 4 = 66S0, J. = 21 .la)deviate appreciablyfrom ideal values for the i + 2 residue in a type II @-turn. In both peptides the observed(N. 0) distances between the Boc CO andAla(3) NHgroups are far too long (I:3.44 k; III: 3.63 k) for an intramolecular 4 + 1 hydrogen bond. Boc-Ala-Dpg-Ala-NHMe (II)crystallizes with two independent molecules in the asymmetric unit. Both molecules IIA and IIB adopt consecutive @-turn (type III-III in IIA and type III-I in IIB) or incipient 3,,,-helical structures, stabilized by two intramolecular 4 --t I hydrogen bonds. In all four molecules the bond angle N-C"-C' ( T ) at the Dxg residues are 2 1109 The observation of conformational angles in the helical region of 4,J/ space at these residues is consistent with theoretical predictions

Amino acid-lanthanide interactions, Part 2. The X-ray crystal structures of lanthanide and calcium complexes of 1-amino-cyclohexane-1-carboxylic acid (Acc6)

The structures of [Nd-2(Acc(6))(H2O)(6)](ClO4)(6) .(H2O)(6) (1) [Er-2(Acc(6))(4)(H2O)(8)](ClO4)(6) .(H2O)(11) (2) and [Ca-5(Acc(6))(12)(H2O)(6)](ClO4)(10).(H2O)(4) (3) (Acc(6) = 1-aminocyclohexane-1-carboxylic acid) have been determined by X-ray crystallography. The lanthanide complexes 1 and 2 are dimeric in which two lanthanide cations are bridged by four carboxylato groups of Acc(6) molecules. In addition, the neodymium complex (1) features the unidentate coordination of the carboxyl group of an Acc(6) molecule in place of a water molecule in the erbium complex (2). The coordination number in both 1 and 2 is eight. The calcium Acc(6) complex (3) is polymeric; three different calcium environments are observed in the asymmetric unit. Two calcium ions are hexa-coordinated and one is hepta-coordinated. Considerable differences are observed between the solid state structures of Ln(III) and Ca-II complexes of Acc(6

Structural and functional studies of Bacillus stearothermophilus serine hydroxymethyl transferase: the role of N341, Y60 and F351 in tetrahydrofolate binding.

SHMT (serine hydoxymethyltransferase), a type I pyridoxal 5'-phosphate-dependent enzyme, catalyses the conversion of L-serine and THF (tetrahydrofolate) into glycine and 5,10 -methylene THE SHMT also catalyses several THF-independent side reactions such as cleavage of P-hydroxy amino acids, trans-amination, racemization and decarboxylation. In the present study, the residues Asn(341), Tyr(60) and Phe(351), which are likely to influence THF binding, were mutated to alanine, alanine and glycine respectively, to elucidate the role of these residues in THF-dependent and -independent reactions catalysed by SHMT. The N341A and Y60A bsSHMT (Bacillus stearothermophilus SHMT) mutants were inactive for the THF-dependent activity, while the mutations had no effect on THF-independent activity. However, mutation of Phe(351) to glycine did not have any effect oil either of the activities. The crystal structures of the glycine binary complexes of the mutants showed that N341A bsSHMT forms an external aldimine as in bsSHMT, whereas Y60A and F351G bsSHMTs exist as a Mixture of internal/external aldimine and gem-diamine forms. Crystal structures of all of the three Mutants obtained in the presence of L-allo-threonine were similar to the respective glycine binary complexes. The structure of the ternary complex of F351G bsSHMT with glycine and FTHF (5-formyl THF) showed that the monoglutamate side chain of FTHF is ordered in both the subunits of the asymmetric unit, unlike in the wild-type bsSHMT. The present studies demonstrate that the residues Asn(341) and Tyr(60) are pivotal for the binding of THF/FTHF, whereas Phe(351) is responsible for the asymmetric binding of FTHF in the two subunits of the dimer.