N-Representability conditions generated by a one-particle grassmann factor of an antisymmetric function

N-representability conditions for a two-particle density operator implied by positive-semidefiniteness of the projection operator P^N+1(?¹ Λ Ψ^N) are derived and discussed. The operator P^N+1(?¹ Λ Ψ^N) projects onto an (N + 1)-particle antisymmetric function ?¹ Λ Ψ^N, the Grassmann product of a one-particle factor ?¹ and an N-particle factor Ψ^N. The polar subcone ??²_N(g, q) to the set of N-representable two-particle density operators ??²_N which corresponds to these conditions is found. It is shown that its extreme rays belong to two orbits for the action of the unitary group of transformations in one-particle Hilbert space. The facial structure of the convex set ??²_N exposed by elements of ??²_N(g, q) is analyzed. An example of the operator that changes the structure of its bottom eigenspace when the number of fermions N surpasses a certain value is noted. A new approach to the diagonal conditions for N-representability is found. It consists of the decomposition of the N-particle antisymmetric identity operator onto the mutually orthogonal projection operators.     

Inversion-Voltammetric Determination of Heavy Metal Ions on Electrodes Modified with Mono- and bis-N-Thiophosphoryl Thiourea

A method is proposed for determining Ni^{2 +}, Co^{2 +}, Cu^{2 +}, Cd^{2 +}, and Pb^{2 +} ions by inversion voltammetry on carbon-paste electrodes modified with N-diisopropoxythiophosphoryl-N'-phenyl thiourea and its derivatives: N,N'-bis-(diisopropoxythiophosphorylamidothiocarbonyl)-1,5-diamino-3-oxapentane, N,N'-bis- (diisopropoxythiophosphorylamidothiocarbonyl)-1,8-diamino-3,6-dioxaoctane and N,N'-bis-(diisopropoxythio- phosphorylaminothiocarbonyl)-1,10-diaza-18-crown-6.     

Synthese,Strukturen, NMR‐ und EPR‐Untersuchungen der binuklearen Bis(N,N,N‴,N‴‐tetraisobutyl‐N′,N″‐isophthaloylbis(selenoureato))‐Komplexe des NiII und CuII

Synthesis, Structures, NMR and EPR Investigations of Binuclear Bis(N,N,N‴,N‴‐tetraisobutyl‐N′,N″‐isophthaloylbis(selenoureato)) Complexes of Ni^II and Cu^II The synthesis of binuclear Cu^II and Ni^II complexes of the quadridentate ligand N,N,N‴,N‴‐tetraisobutyl‐N′,N″‐isophthaloylbis(selenourea) and their crystal structures are reported. The complexes crystallize monoclinic, P2₁/c (Z = 2). In the EPR spectra of the binuclear Cu^II complex exchange‐coupled Cu^II‐Cu^II pairs were observed. In addition the signals of a mononuclear Cu^II species are observed what will be explained with the assumption of an equilibrium between the binuclear Cu^II‐complex (Cu^II‐Cu^II pairs) and oligomeric complexes with “isolated” Cu^II ions. Detailed ¹³C and ⁷⁷Se NMR investigations on the ligand and the Ni^II complex allow an exact assignment of all signals of the heteroatoms.     

Saturated amine oxides: part 10. hydroacridines: part 32. linear 17O/13C and 13C/13C chemical shift correlations between saturated azaheterocyclic N‐methylamine N‐oxides,and the methiodides of their parent amines

Two kinds of good linear correlations were found between the chemical shifts of saturated six‐membered azaheterocyclic N‐methylamine N‐oxides and the chemical shifts of the methiodides of their parent amines. One of the correlations occurs between the ¹⁷O chemical shift of the N⁺―O^– oxygen in the N‐oxides and the ¹³C chemical shift of the N⁺―CH₃ methyl group analogously situated in the appropriate methiodide (r = 0.9778). This correlation enables unambiguous configuration assignment of the N⁺―O^– bond, even if the experimentally observed ¹⁷O chemical shift of only one N‐epimer is available, provided the ¹³C chemical shifts of both N⁺―CH₃ groups in the methiodide are known and assigned; furthermore, it can be used also for the estimation of ¹⁷O chemical shifts of the N⁺―O^– oxygens in N‐epimeric pairs of N‐oxides, for which observed ¹⁷O data hardly become available. The second correlation is observed between the ¹³C chemical shift of the N⁺―CH₃ methyl group in the N‐oxides and the ¹³C chemical shift of the N⁺―CH₃ methyl group analogously situated in the appropriate methiodide (r = 0.9785). It can be used for safe configuration assignment of the N⁺―CH₃ group and, indirectly, also of the N⁺―O^– bond in an amine N‐oxide, even if no ¹⁷O NMR data, and the ¹³C chemical shift of only one N‐epimer is available. Copyright © 2015 John Wiley & Sons, Ltd.     

Lipophilic Diamides as Ionophores for Alkali and Alkaline Earth Metal Cations

A series of lipophilic N, N, N′,N′-tetrasubstituted diamides were prepared and their selectivity in solvent polymeric membranes was studied, cis-N, N, N′, N′-Tetraisobutylcyclohexane-1,2-dicarboxamide induces a selectivity in membranes for Li⁺over alkaline earth metal cations and other alkali metal cations by a factor of about 1000 and 100 respectively. The ionophore N, N′-diheptyl-N,N′-dimethylethylmalonamide is an attractive candidate for the use in microelectrodes for the determination of intracellular Mg²⁺-activities.     

Unlocking the N2 Selectivity of Benzotriazoles: Regiodivergent and Highly Selective Coupling of Benzotriazoles with Allenes

The rhodium‐catalyzed, highly N²‐ and N¹‐selective coupling of benzotriazoles with allenes is reported. The exceptionally high N² and N¹ selectivities were achieved by using a rhodium(I)/DPEphos and rhodium(I)/JoSPOphos catalyst, respectively. This method permits the atom‐economic synthesis of valuable branched N²‐ and N¹‐allylated benzotriazole derivatives and allows for preliminary studies of their reactivity.     

Substituent effects on one-bond 15N?13C couplings in N,N-dimethylanilines and nitrobenzenes. Effect of steric inhibition of conjugation

The ¹J(¹⁵N¹³C) values for a series of ring-substituted N,N-dimethylaniline-¹⁵N derivatives and a series of nitrobenzene-¹⁵N derivatives were measured from the ¹³C spectra. In the nitrobenzenes, small changes in ¹J(¹⁵N¹³C) are attributed to the inductive effect of the substituents, since steric inhibition of conjugation has little effect on the magnitude of the coupling. In contrast, steric inhibition of nitrogen lone-pair delocalization in N,N-dimethylaniline derivatives markedly reduces the value of ¹J(¹⁵N¹³C). Theoretical calculations of ¹J(¹⁵N¹³C) values for the two series of compounds were made using standard INDO parameters and a ‘sum-over-states’ perturbation approach. Fair agreement between the calculated and experimental values is found.     

Synthesis of 1,3,4-thiadiazoles containing the trifluoromethyl group

The following compounds have been synthesized: 2-Amino-5-trifluoromethyl-1,3,4-thiadiazole; N-(5-trifluoromethyl - 1,3,4-thiadizol-2-yl)benzenesulfonamide; N¹-(5-trifluoromethyl-1,3,4-thiadiazol-2-yl)sulfanilamide, its N⁴-acetyl, N⁴-succinyl, and N⁴-pathalyl derivatives; o - m - and p-trifluoromethylbenzoylthiosemicarbazide, their corresponding 2-amino-1,3,4-thiadiazoles, their corresponding sulfanilamides, their N⁴-acetyl, N⁴-succinyl and N⁴-phthalyl derivatives; 3-o-trifluoromethylphenyl-4H-1,2,4-triazole-5-thiol. Preliminary in-vitro assays show that synthesized sulfanilamide derivatives have antibacterial activity against Staphylococcus aureus.     

Alkaline Earth Diazapentadienyl Compounds: Structure of [Ba2{(C6H11)NC(Me)CHC(Me)N(C6H11)}3{(SiMe3)2N}]

Three different bonding modes in one molecule! The diazapentadienyl ligands in the title compound 1 adopt η¹,η¹-N,N-chelating plus η⁵-terminal, η¹η¹-N,N chelating plus η⁵-bridging, and novel η¹-N plus η³-1-aza-allyl bonding modes. R=cyclohexyl.     

Thermochemistry of Aqueous Solutions of Alkylated Nucleic Acid Bases. X. Enthalpies of Hydration of Cytosine and some Methylated, Hydroxy and Methoxy Derivatives of Cytosine

Enthalpies of solution in water, vapor pressures, and enthalpies of sublimation were determined for cytosine and a number of crystalline derivatives of cytosine: 1-methylcytosine, 1-methyl-N ⁴-hydroxycytosine, 1,5-methyl-N ⁴-methoxycytosine, 1,N ⁴,N ⁴-trimethylcytosine, 1,5,N ⁴-trimethylcytosine, 1,5-dimethyl-N ⁴-methoxycytosine, and l,N ⁴-dimethyl-5-ethylcytosine. Enthalpies of hydration were calculated. The latter were analyzed on the basis of the group additivity method. The relation between enthalpy of hydration and polarity of compounds is discussed.     

Products of class operators of the symmetric group

A combinatorial derivation of the product of the class of three cycles, [(1)^N?3(3)]_N with an arbitrary class operator of the symmetric group S_N is presented. The form of this result suggests a conjecture concerning the expression of the general class operator product in terms of a relatively small number of reduced class coefficients. The conjecture is applied to the determination of the products of [(1)^N?4(4)]_N, [(1)^N?4(2)²]_N, and [(1)^N?5(5)]_N with arbitrary class operators. General expressions for the reduced class coefficients of the simplest type are obtained.     

Synthesis of Dye-Labeled Lysine Derivatives

The N′-dabcyl-N ^α-(9-fluorenylmethoxy)-carbonyllysine was prepared by reaction of lysine-Cu²⁺ complex with the N-hydroxysuccinimide (HOSu) activated ester of [4-(4'-dimethylamino)phenylazo]benzoic acid (dabcyl acid) followed by treatment with EDTA and acylation with Fmoc-OSu, and the N ^α-tert-butyloxycarbonyl-N′-dabcyllysine was prepared by reaction of N ^α-tert-butyloxycarbonyllysine with dabcyl-OSu.     

Simultaneous quantification of methylated purines in DNA by isotope dilution LC-MS/MS coupled with automated solid-phase extraction

Since methylation at the N-7 and O⁶ positions of guanine and the N-3 position of adenine in DNA are the predominant reaction sites, N ⁷-methylguanine (N ⁷-MeG), O ⁶-methylguanine (O ⁶-MeG), and N ³-methyladenine (N ³-MeA) have been suggested as good biomarkers for assessing exposure to methylating agents. Here, we report the development of a sensitive and selective assay based on liquid chromatography–tandem mass spectrometry (LC-MS/MS) to simultaneously measure N ⁷-MeG, O ⁶-MeG, and N ³-MeA in DNA hydrolysates. With the use of isotope internal standards (¹⁵N₅-N ⁷-MeG, d ₃-O ⁶-MeG, and d ₃-N ³-MeA) and online solid-phase extraction, DNA hydrolysates can be directly analyzed within 12 min without prior sample purification. The limits of detection were 0.02, 0.002, and 0.01 ng/mL on-column (6.1, 0.6, and 3.4 fmol) for N ⁷-MeG, O ⁶-MeG, and N ³-MeA, respectively. Inter- and intraday imprecision (CV) were 3.6–9.6% and 2.7–13.6%, respectively. Mean recoveries were 96–109%. This method was then applied to quantitate the amounts of methylated purines in calf thymus DNA treated with methyl methanesulfonate (MMS). The levels of N ⁷-MeG, O ⁶-MeG, and N ³-MeA in calf thymus DNA increase with MMS concentration and incubation time. The ratio of relative yields of N ⁷-MeG, O ⁶-MeG, and N ³-MeA in MMS-treated DNA was found to be 1.00:0.0032:0.119, respectively. This LC-MS/MS assay provides the sensitivity and high throughput required to evaluate the extent of methylated lesions in DNA induced by methylating agents.     

Synthesis,Characterization, and Physicochemical Properties of Hydrophobic Pyridinium‐based Ionic Liquids with N‐Propyl and N‐Isopropyl

Synthesis and physicochemical properties of four pyridinium‐based ionic liquids (ILs), N‐propylpyridinium bromide [N‐propylPyr]⁺[Br]^–, N‐isopropylpyridinium bromide [N‐isopropylPyr]⁺[Br]^–, N‐propylpyridinium hexafluorophosphate [N‐propylPyr]⁺[PF₆]^–, and N‐isopropylpyridinium hexafluorophosphate [N‐isopropylPyr]⁺[PF₆]^– are reported. The molecular structures of these compounds were characterized by FT‐IR, ¹H, ¹⁹F, and ³¹P NMR, spectroscopy. The thermal properties, conductivity, and solubility of these ionic liquids were also investigated. The effects of propyl and isopropyl alkyl lateral chain at the N‐position of pyridinium cation on the thermal stability, conductivity, and solubility of ionic liquids are discussed. The results obtained confirmed that the ionic liquids based on pyridinium cations exhibit higher decomposition temperature, low melting points, immiscible with water, and their conductivities are mainly influenced by mobility of ions.     

Preparation,spectral characterization,in vitro antitumor and thermal studies of new platinum(IV) and palladium(II) thiohydrazone complexes

Pt^IV and Pd^II complexes [Pt(L)₂Cl₂] and [Pd(HL)Cl₂] [HL = salicyclaldehyde morpholine N-thiohydrazone (HL¹), benzaldehyde morpholine N-thiohydrazone (HL²), acetophenone morpholine N-thiohydrazone (HL³), p-methylacetophenone morpholine N-thiohydrazone (HL⁴), cinnamaldehyde morpholine N-thiohydrazone (HL⁵), cyclohexanone morpholine N-thiohydrazone (HL⁶), benzaldehyde aniline N-thiohydrazone (HL⁷), benzaldehyde N-(methyl, cyclohexyl)-thiohydrazone (HL⁸) and benzaldehyde N-(ethyl, cyclohexyl)-thiohydrazone (HL⁹)] were prepared in MeOH and characterized by elemental analysis, i.r., electronic, ¹H-n.m.r. and ¹³C-n.m.r. spectral data. For some of the complexes cyclic voltammetric and thermal studies were carried out. The in vitro antitumor activity of some complexes was measured.     

The use of MM/QM calculations of 13C and 15N chemical shifts in the conformational analysis of alkyl substituted anilines

The calculation of the ¹³C and ¹⁵N NMR chemical shifts by a combined molecular mechanics (Pcmodel 9.1/MMFF94) and ab initio (GIAO (B3LYP/DFT, 6-31 + G(d)) procedure is used to investigate the conformations of a variety of alkyl substituted anilines. The ¹³C shifts are obtained from the GIAO isotropic shielding (Ciso) with separate references for sp³ and sp² carbons (δc = δref − Ciso). The ¹⁵N shifts are obtained similarly from the GIAO isotropic shielding (Niso) with reference to the ¹⁵N chemical shift of aniline. Comparison of the observed and calculated shifts provides information on the molecular conformations. Aniline and the 2,6-dialkylanilines exist with a rapidly inverting symmetric pyramidal nitrogen atom. The 2-alkylanilines have similar conformations with the NH₂ group tilted away from the 2-alkyl substituent. The N,N-dialkylanilines show more varied conformations. N,N-dimethylaniline has a similar structure to aniline, but N-ethyl, N-methylaniline, N,N-diethylaniline, and N,N-diisopropylaniline are conformationally mobile with two rapidly interconverting conformers. In contrast, the anilines substituted at C₂ and the nitrogen atom exist as one conformer where the steric interaction between the C₂ substituent and the N substituent determines the conformation. In 2-methyl-N-methylaniline, the nitrogen atom is pyramidal as usual with the N-methyl opposite to the 2-methyl, but in 2-methyl-N,N-dimethyl aniline, the NMe₂ group is now almost orthogonal to the phenyl plane. This is also the case with 2-methyl-N,N-diethylaniline and 2,6-diisopropyl-N,N-dimethylaniline. The comparison of the observed and calculated ¹⁵N chemical shifts confirms the above findings, in particular the pyramidal conformation of aniline and the above observations with respect to the conformations of the N,N-dialkylanilines.     

2′-Deoxy-β-D-ribofuranosides of N6-Methylated 7-Deazaadenine and 8-Aza-7-deazaadenine: Solid-phase synthesis of oligodeoxyribonucleotides and properties of self-complementary duplexes

The syntheses of 7-deaza-N⁶-methyladenine N⁹-(2′-deoxy-β-D -ribofuranoside) ( 2 ) as well as of 8-aza-7-deaza-N⁶-methyladenine N⁸? and N⁹?(2′-deoxyribofuranosides) ( 3 and 4 , resp.) are described. A 4,4′-dimeth-oxylritylation followed by phosphitylation yielded the methyl phosphoramidites 12–14 . They were employed together with the phosphoramidite of 2′-deoxy-N⁶v-methyladenosine ( 15 ) in automated solid-phase oligonucleotide synthesis. Alternating or palindromic oligonucleotides derived from d(A-T)₆ or d(A-T-G-C-A-G-A*-T-C-T-G-C-A) but containing one methylated pyrrolo[2,3-d]pyrimidine or pyrazolo[3,4-d]pyrimidine moiety in place of a N⁶-methylaminopurine (A*) were synthesized. Melting experiments showed that duplex destabilization induced by a N⁶-Me group of 2′-deoxy-N⁶-methyladenosine is reversed by incorporation of 8-aza-7-deaza-2′-deoxy-N⁶-meihyladenosine, whereas 7-deaza-2′-deoxy-N⁶-methyladenostne decreased the T_m value further. Regiospecific phosphodiester hydrolysis of d(A-T-G-C-A-G-m⁶A-T-C-T-G1-C-A) by the endodeoxyribonuclease Dpn I, yielding d(A-T-G-C-A-G-m⁶A) and d(pT-C-T-G-C-A), was prevented when the residue c⁷m⁶A_d ( 2 ), c⁷m⁶z⁸A_d ( 3 ), or c⁷m⁶z⁸A_d′ ( 4 ) replaced m⁶A_d ( 1 ) indicating that N(7) of N⁶-methyladenine is a proton-acceptor site for the endodeoxyribonuclease.     

Transition metal ion complexes of thiosemicarbazones derived from 2-acetylpyridineN-oxide. II. The4 N-dimethyl derivative

Summary Metal ion complexes of 2-acetylpyridineN-oxide⁴ N-dimethylthiosemicarbazone (HLO4DM), have been prepared and spectroscopically characterised. The presence of two alkyl groups at⁴ N facilitates loss of the hydrogen from² N since HLO4DM is found as the anionic ligand in the majority of its complexes. The anionic LO4DM bonds to the metal ions via theN-oxide oxygen, the azomethine nitrogen, and the thiol sulphur atoms. The infrared, electronic, and electron spin resonance spectra of these complexes are compared to 2-acetylpyridineN-oxide⁴ N-methylthiosemicarbazone as well as 2-acetylpyridine⁴ N-dimethylthiosemicarbazone.     

[Cu(C8H16N4O2)0.5{N(CN)2}]n,a novel ladder‐like coordination polymer

A new polymeric copper complex, viz.catena‐poly[[[μ‐N,N′‐bis(3‐amino­propyl)oxa­mid­ato‐κ⁶N,N′,O:N′′,N′′′,O′]­dicopper(II)]‐di‐μ‐dicyan­amido‐1:1′κ²N¹:N⁵;2:2′κ²N¹:N⁵], [Cu₂(C₈H₁₆N₄O₂)(C₂N₃)₂]_n or [Cu(oxpn)_0.5{N(CN)₂}]_n [where H₂oxpn is N,N′‐bis(3‐amino­propyl)­ox­amide], has been ­synthesized by the reaction of Cu(oxpn), [Cu(ClO₄)₂]·6H₂O and NaN₃. In the crystal structure, the Cu atom is five‐coordinate and has a square‐pyrimidal (SP) configuration. In the polymer, dicyan­amide (dca⁻) groups link Cu^II cations in a μ‐1,5‐bridging mode, generating novel ladders in which each step is composed of dimeric [Cu₂(oxpn)]²⁺ cations. Abundant hydrogen bonds connect the polymer ladders into a two‐dimensional network structure.     

Synthesis and Properties of a 2-Diazohistidine Derivative: A New Photoactivatable Aromatic Amino-Acid Analog

N^α[(tert-Butoxy)carbonyl]-2-diazo-L -histidine methyl ester 1 was synthesized starting from the corresponding L-histidine derivative. The physico-chemical properties of this new photoactivatable amino-acid derivative were established. The synthetic precursor of 1 , 2-amino-L -histidine derivative 3 , was best isolated and characterized as 2-amino-N^α-[(tert-butoxy)carbonyl]-N^τ-tosyl-L -histidine methyl ester ( 4 ). Selective deprotections of 4 (N^α-Boc, N^α-Tos, COOMe) were achieved, thus allowing the use of the corresponding products in peptide synthesis. The optically active dipeptides 8 and 9 were synthesized by coupling 2-amino-N^τ-tosyl-L -histidine methyl ester ( 5 ) with N-[(tert-butoxy)carbonyl]-L -alanine and N^α-[(tert-butoxy)carbonyl]-N^τ-tosyl-L -histidine ( 6 ) with L-alanine methyl ester, respectively. The question of selective diazotization of a 2-aminohistidine residue in a synthetic peptide was studied using competitive diazotizations between 2-amino-1H-imidazole and several amino-acid derivatives susceptible to undergo nitrosylation. The results show that synthetic photoactivatable peptides incorporating a 2-diazohistidine residue might become useful photoaffinity probes.