A 3-D Hybrid Framework {[(dafone)PbI_2](dafone)_2}_n Constructed from Weak Interactions by Introducing Aromatic H-bond Acceptors: Synthesis and Theoretical Study

A new 3-D hybrid framework {[（dafone）PbI2]（dafone）2}n 1 （dafone = 4,5-diazafluoren-9-one） has been prepared and structurally determined. 1 crystallizes in the monoclinic system, space group C2/c with a = 24.109（8）, b = 16.596（8）, c = 7.983（3）A, β = 91.590（15）°, V = 3193（2）A^3, Z = 4, C33H18I2N6O3Pb, Mr = 1007.53, Dc = 2.096 g/cm^3, F（000） = 1880, μ（MoKα） = 7.262 mm^-1, the final R = 0.0352 and wR = 0.0951 for 3198 observed reflections with I 〉 2σ（I）. In the [（dafone）PbI2]n chain, the Pb center adopts a distorted octahedral coordination geometry and shares an edge to give a one-dimensional polymer. The 3-D arrangement of 1 constructs from H-bonds among dafone molecules and π-π stacking interactions among dissociative dafone molecules. These weak interactions contribute to the stability of the title compound. DFT calculation was carried out to reveal its electronic structure.

Interesting Weak Interactions in Three Silver Coordination Polymers Based on Tetrafluorobenzenedicarboxylate and Benzonitrile Ligands

The assembly reactions of o- （or m-, or p-） tetrafluorobenzenedicarboxylic acid （denoted as o-H2L, m-H2L and p-HzL, respectively）, benzonitrile and Ag＋ ion led to three compounds： [Ag2（PhCN）2（o-HL）2]n （1）, [Ag2（PhCN）2（m-HL）2]n （2） and [Ag2（PhCN）2（p-L）], （3）. 1 and 2 feature a 1D coordination chain, while 3 bears a 2D net structure. A variety of weak interactions are observed in the compounds. Strong nwrinteractions connect the 1D chains into a 3D supramolecular network in 1. Hydrogen bonds connect the chains into layers in 2. Three types of interesting π-π interactions also assemble the 2D layers into a 3D overall structure in 3.

Weak Interactions and 2D Layer Structure of a New Ion-pair Complex Bis(1-benzyl-4-methylquinolinium)-bis(maleonitriledithiolato)nickel(Ⅱ)

A new ion-pair complex, [BzMeQ1]2[Ni（nmt）2]1（[BzMeQ1]^＋ = 1-benzyl-4-ntethylquino- linium, mnta- -- maleonitriledithiolate） has been synthesized and structurally characterized by IR, ESI-MS and X-ray diffraction methods. Complex 1 is of triclinic, space group PI, with a = 9.079（2）, b = 10.154（2）, c = 11.243（2）A, α= 81.58（1）, β= 69.63（1）, γ = 68.02（1）°, V= 940.1（3）A3, Dc = 1.427 g/cm^3, Z = 1, F（000） = 418 and R = 0.0442. A 2D layer structure is formed via the cation-cation π…π and C-H…π interactions observed in the solid state of the complex.

Peptide-Conjugated AggregationInduced Emission Fluorogen:Precise and Firm Cell Membrane Labeling by Multiple Weak Interactions

The cell membrane is a vital barrier that protects the cell from external damage and is involved in many biochemical processes.Thus,it is of great significance to label the cell membrane to explore its function.However,due to its complex and dynamic nature,precise and firm cell membrane labeling simultaneously is still a challenge.Herein,we report the fabrication of a peptide-conjugated aggregationinduced emission fluorogen(AIEgen),RTP,consisting of three main components:(1)An integrin-targeting peptide(RGD,R),which could bind specifically to integrinαvβ3 on cell membranes through ligand–receptor interaction.(2)An AIE-active tetraphenylethene derivative(T-MY,T)for fluorescent imaging.(3)Palmitic acid-modified peptide(Pal-RRRR,P),in which Pal isinserted into the lipid on the cellmembrane by hydrophobic interaction,and RRRR interacted with the negatively charged cell membrane components(proteins and lipids)through electrostatic forces.RTP could precisely label tumor cells with high integrinαvβ3 expression andfirmly trace the cellmembrane for up to 4 h;it also has a strong resistance to photobleaching.Moreover,RTP achieved in vivo tumor-specific imaging via cell membrane labeling.Thereby,utilizing multiple weak interactions between the fluorescent probe and the cell membrane provided a new strategy for precise and firm imaging of the cell membrane simultaneously.

The Origin, Properties and Detection of Dark Matter and Dark Energy

The pictures from the James Webb Space Telescope (JWST) suggest that massive galaxies were already at the beginning of the expansion of the Universe because there was too short time to create them. It is consistent with the new cosmology presented within the Scale-Symmetric Theory (SST). The phase transitions of the initial inflation field described in SST lead to the Protoworld—its core was built of dark matter (DM). We show that the DAMA/LIBRA annual-modulation amplitude forced by the change of the Earth’s velocity (i.e. baryonic-matter (BM) velocity) in relation to the spinning DM field in our Galaxy’s halo should be very low. We calculated that in the DM-BM weak interactions are created single and entangled spacetime condensates with a lowest mass/energy of 0.807 keV—as the Higgs boson they can decay to two photons, so we can indirectly detect DM. Our results are consistent with the averaged DAMA/LIBRA/COSINE-100 curve describing the dependence of the event rate on the photon energy in single-hit events. We calculated the mean dark-matter-halo (DMH) mass around quasars, we also described the origin of the plateaux in the rotation curves for the massive spiral galaxies, the role of DM-loops in magnetars, the origin of CMB, the AGN-jet and galactic-halo production, and properties of dark energy (DE).

Three Clifford Algebras for Four Kinds of Interactions

Three Clifford algebras are sufficient to describe all interactions of modern physics: The Clifford algebra of the usual space is enough to describe all aspects of electromagnetism, including the quantum wave of the electron. The Clifford algebra of space-time is enough for electro-weak interactions. To get the gauge group of the standard model, with electro-weak and strong interactions, a third algebra is sufficient, with only two more dimensions of space. The Clifford algebra of space allows us to include also gravitation. We discuss the advantages of our approach.

Calculation of the Standard Model Parameters and Particles Based on a SU(4) Preon Model

This paper describes an extension and a new foundation of the Standard Model of particle physics based on a SU(4)-force called hyper-color, and on preon subparticles. The hyper-color force is a generalization of the SU(2)-based weak interaction and the SU(1)-based right-chiral self-interaction, in which the W-and the Z-bosons are Yukawa residual-field-carriers of the hyper-color force, in the same sense as the pions are the residual-field-carriers of the color SU(3) interaction. Using the method of numerical minimization of the SU(4)-action based on this model, the masses and the inner structure of leptons, quarks and weak bosons are calculated: the mass results are very close to the experimental values. We calculate also precisely the value of the Cabibbo angle, so the mixing matrices of the Standard model, CKM matrix for quarks and PMNS matrix for neutrinos can also be calculated. In total, we reduce the 29 parameters of the Standard Model to a total of 7 parameters.

Towards the Unification of All Interactions (The First Part: The Spinor Wave)

For the unification of gravitation with electromagnetism, weak and strong interactions, we use a unique and very simple framework, the Clifford algebra of space . We enlarge our previous wave equation to the general case, including all leptons, quarks and antiparticles of the first generation. The wave equation is a generalization of the Dirac equation with a compulsory non-linear mass term. This equation is form invariant under the group of the invertible elements in the space algebra. The form invariance is fully compatible with the gauge invariance of the standard model. The wave equations of the different particles come by Lagrange equations from a Lagrangian density and this Lagrangian density is the sum of the real parts of the wave equations. Both form invariance and gauge invariance are exact symmetries, not only partial or broken symmetries. Inertia is already present in the part of the gauge group and the inertial chiral potential vector simplifies weak interactions. Relativistic quantum physics is then a naturally yet unified theory, including all interactions.

The Weak Interaction on CO_2...CO van der Waals Complex: A Theoretical Study

The geometries of van der Waals complex CO 2...CO were optimized at DFT and second order Moller Plesset perturbation(MP2) levels with the large basis set, three stable structures were found. The most stable structure has a T shape geometry in which the CO lies along the C 2 axis of CO 2, with the two C atoms direct contact and R (C...C)=0 3227 nm. The corresponding energies of the most stable structure were calculated by means of MP2, MP4D, MP4DQ, MP4SDTQ, MP4SDQ, CCSD and CCSD(T) methods. The BSSE(basis set superposition error) was eliminated by the Boys Bernardi counterpoise correction(CP) method. According to thermodynamics data, van der Waals complex CO 2...CO can be found at a low temperature and/or a high pressure. There is a little charge transferred between the two interacted subunits. In the most stable structure, CO 2 is the acceptor and CO is the donor.

One-dimensional Chain Topology in [Ag(C_6H_6NCl)_2](ClO_4), Generated through Weak Interaction between Molecules

The mononuclear complex [Ag(C6H6NCl)2](ClO() has been prepared and structurally analyzed by single-crystal X-ray diffraction. The complex crystallizes in the monoclinic system, space group C2/c with unit cell parameters: a=15.5314(2), b=8.0247(8), c=15.3701(2)?.β=118.832(2)°, V=1678.2(3)?3, Z=4, Mr=462.46, Dc=1.830Mg/m3, F(000)=912, μ(MoKα) = 1.694cm-1. The final R and wR are 0.0472 and 0.1272 for 1484 observed reflections with I≥3σ(I). The Ag atom is coordinated by two nitrogen atoms of 4-chloromethyl-pyridine in a linear coordination geometry. Each molecule is further linked by the weak interaction between the Cl and Ag atoms to form a one-dimensional chain structure with Ag－Cl distance of 3.240?.

INTERACTION OF STRONG AND WEAK SINGULARITIES FOR HYPERBOLIC SYSTEM OF CONSERVATION LAWS IN MULTIDIMENSIONAL SPACE

In this paper we study the interaction of strong and weak singularities for hyperbolic system of conservation laws in multidimensional space. Under the assumption of transversal intersect of the shock front with the bicharacteristics bearing weak singularities we proved a theorem on regularity propagation across the shock front.

Selection Rules in Weak Interaction and Conservation of Fermion Quantum Number

Traditionally, in weak interaction, I3, Y and four flavour quantum numbers are not conserved but several empirical selection rules work well. Recently, it was found that, in weak interaction, there are three levels of conservation of additive quantum numbers, and fermion quantum number F is conserved in all kinds of interactions. It is known that weak interaction has three types: fermionic, pure hadronic and pure leptonic, corresponding to the first and the second level of conservation of additive quantum numbers respectively. It is demonstrated in this paper that the selection rules in all types of weak interaction can be interpreted by conservation of F, and the formula of relation between Q/e, F and F0 is more general than Gell-Mann-Nishijima formula. Description of weak interaction becomes simpler, If only we take Q, F0 and F, based on the conserved physical quantities.

Gravitational Term in Semi Empirical Mass Formula

A new term was added to the well-known semi-empirical mass formula to account for the changes due to gravitational attraction between nucleons in the liquid drop, as well as, accommodates for the necessary corrections in the binding energy of a nucleus. The results of our calculations show a straight forward evidence that the gravitational attraction bears a reasonable contribution to the binding energy. On the other hand, employing the gravitational term in the semi empirical mass formula was led to the calculation of gravitational constant at subnuclear level.

Crystal Structure and Theoretical Studies of Tetrahytrate(1-H-1,2,4-triazole-3,5-dicarboxylicacid)nickel

A new compound, [Ni（Hdctrz）（H2O）4]（1, H3dctrz = 1-H-1,2,4-triazole-3,5-dicarboxylic acid）, has been successfully synthesized via slow evaporation. The structure of 1 was characterized by FT-IR, elemental analysis and single-crystal X-ray diffraction. Compound 1 crystallizes in monoclinic, space group P21/c with a = 6.871（1）, b = 11.468（1）, c = 12.178（1） A, b = 101.291（1）o, V = 941.01（16） A3, Z = 4, C4H9N3O8Ni, Mr = 285.85, Dc = 2.018 g·cm–3, m = 2.10 mm–1, F（000） = 584, GOOF = 1.025, the final R = 0.0515 and wR = 0.2125 for 1404 observed reflections（I 〉 2s（I））. The crystal structure is assembled by a slightly distorted {NiNO5} octahedral geometry and hydrogen bonds viz. N–H…O, O–H…O, C–O…π and π···π weak interactions. A rare π···π interaction from triazolate and carboxylate is affirmed through the molecular orbitals（MO） of three adjacent Ni CN molecules. The 3D Hirshfeld surface analysis was employed to gain additional insight into the interactions responsible for the packing of compound 1. Quantitative examination of 2D fingerprint plots revealed, amongst others, the dominating participation of O···H, N···H and π···π interactions in the molecular packing.

Towards the Unification, Part 2: Simplified Equations, Covariant Derivative, Photons

We continue the study of the Standard Model of Quantum Physics in the Clifford algebra of space. We get simplified mass terms for the fermion part of the wave. We insert the simplified equations in the frame of General Relativity. We construct the electromagnetic field of the photon, alone boson without proper mass. We explain how the Pauli principle comes from the equivalence principle of General Relativity. We transpose in the frame of the algebra of space the second quantification of the electromagnetic field. We discuss the changes introduced here.

Synthesis, Characterization and Crystal Structure of a Dinuclear Silver(I) Complex: [AgL(NO_3)]_2 (L= 2-Acetamido-5-methyl-1,3,4-thiadiazole)

The title complex [AgL（NO3）]2 1, where L = 2-acetamido-5-methyl-1,3,4-thiadiazole, was prepared from the reaction of 2-acetamido-5-methyl-1,3,4-thiadiazole with AgNO3 at room temperature and its structure has been determined by single-crystal X-ray diffraction. The crystal is of monoclinic, space group P2t/c with a = 12.5454（8）, b = 11.9672（12）, c = 6.8925（6） A, β = 98.468（2）°. V= 1023.51（15） A^3, Mr= 3127.08, Dc = 2.123 g/cm^3, Z= 4, μ（MoKoσ） = 2.174 mm^-1, F（000） = 640, R = 0.0259 and wR = 0.0580 for 1787 observed reflections with I 〉 2σ（I）. Complex 1 self-assembls into a quasi-three-dimensional network consisting of adjacent dimers through intermolecular Ag...O weak interactions.

Effects of Direction of Bridging of Thiocyanato on the Dimension of Coordination Polymers: Synthesis, Characterization and Single-crystal X-ray Structure Determination of [Cd(4,4'-dm-2,2'-bpy)(NCS)_2]_n and [Cd(4,4'-dmo-2,2'-bpy)(NCS)_2]_n Coordination Pol

Two new cadmium（II）-thiocyanato coordination polymers with 4,4＇-dimethyl-2,2＇-bipyridine（4,4＇-dm-2,2＇-bpy） and 4,4＇-dimethoxy-2,2＇-bipyridine（4,4＇-dmo-2,2＇-bpy） as chelating ligands were synthesized and characterized by elemental analysis, IR and 1H NMR spectroscopy and X-ray crystallography. Thermal properties were also studied as well. These complexes have formed as [Cd（4,4＇-dm-2,2＇-bpy）（NCS）2]n（1） and [Cd（4,4＇-dmo-2,2＇-bpy）（NCS）2]n（2）. The coordination numbers of CdII in 1 and 2 are six（Cd N4S2）. Direction of bridging of thiocyanato anions in 1 and 2 created one- and two-dimensional coordination polymers, respectively. The supramolecular features in these complexes were guided and controlled by weak directional intermolecular interactions.

Syntheses and Crystal Structures of Two Copper(II) Complexes Derived from Bidentate Schiff Bases

Two new Cu（Ⅱ） complexes have been synthesized with two different bidentate N2O2 donor Schiffbase ligands HL1 （2-（（E）-（4-chlorophenylimino）methyl）-6-bromo-4-chlorophenol） and HL2 （2-（（E）-（2-chlorophenylimino）methyl）-6-bromo-4-chlorophenol）, respectively. Both complexes 1 and 2 have been characterized by elemental analysis and single-crystal X-ray diffraction studies. Structural studies reveal that in both complexes the metal centers are four-coordinated with N202 donor set of Schiff base ligands. Complex 1 belongs to the tetragonal system, space group P4（3）2（1）2 with a = 10.2379（2）, b = 10.2379（2）, c = 24.9623（90） A, V = 2616.41（12） A^3, Z = 4, Dc = 1.908 g/cm^3,μ（MoKa） = 4.3327 mm^-1, F（000） = 1468, S = 0.999, the final R = 0.0345 and wR = 0.0835 for 3506 unique reflections （Rint= 0.0428） with 3249 observed ones （I 〉 2σ（I））. Complex 2 is of monoclinic system, space group P21/c with a = 11.064（3）, b = 9.437（2）, c = 13.277（4） A, fl = 108.997（3）°, V = 1310.8（6） A^3, Z = 2, Dc= 1.904 g/cm^3,μ（MoKa） = 4.319 mm^-1, F（000） = 734, S = 0.997, the final R = 0.0282 and wR = 0.0619 for 3491 unique reflections （Rint = 0.0428） with 2777 observed ones （I 〉 20（I））. The units of the complex are linked via weak interactions, such as C-H…Br hydrogen bonds together with Cl…C1 and Cu…Cl interactions, leading to the formation of one-dimensional chain and two-dimensional network and stabilizing the crystal structure.

Synthesis and Crystal Structure of N,N′-4-aminomethyl-pyromellitic diimide

The title compound N,N′-4-aminomethyl-pyromellitic diimide （4-pmpmd） crystallizes in monoclinic, space group P21/c with a = 4.785（1）, b = 6.200（1）, c = 29.907（2） A, β = 93.583（11）°, V= 885.5（2） A^3, Dc = 1.494 g/cm^3, Z= 2, C22H14N4O4, Mr = 398.37,/t（MoKα） = 0.106 mm^-1 and F（000） = 412, and its structure was refined to R = 0.0469 and wR = 0.1017 for 1194 observed reflections （F0 〉 4σ（F0））. The X-ray diffraction shows the existence of the staggered strong intermolecular C-H…O （DA） hydrogen bonds between adjacent molecules, the intermo- lecular C-H…π hydrogen bonds and the weak π…π stacking interactions, leading to the formation of multi-dimensional supramolecular network based on the Z-mode conformation of the title compound.

Extended Relativistic Invariance, Quantization of the Kinetic Momentum

The aim of this research is a better understanding of the quantization in physics. The true origin of the quantization is the existence of the quantized kinetic momentum of electrons, neutrinos, protons and neutrons with the value. It is a consequence of the extended relativistic invariance of the wave of fundamental particles with spin 1/2. This logical link is due to properties of the quantum waves of fermions, which are functions of space-time with value into the and End(Cl3) Lie groups. Space-time is a manifold forming the auto-adjoint part of . The Lagrangian densities are the real parts of the waves. The equivalence between the invariant form and the Dirac form of the wave equation takes the form of Lagrange's equations. The momentum-energy tensor linked by Noether's theorem to the invariance under space-time translations has components which are directly linked to the electromagnetic tensor. The invariance under of the kinetic momentum tensor gives eight vectors. One of these vectors has a time component with value . Resulting aspects of the standard model of quantum physics and of the relativistic theory of gravitation are discussed.