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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 被引量:2
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作者 李俊波 李浩宏 +3 位作者 陈之荣 陈小波 吴艳玲 董海军 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2009年第11期1387-1392,共6页
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... 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. 展开更多
关键词 dafone weak interactions aromatic hydrogen bond acceptors DFT calculation
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Interesting Weak Interactions in Three Silver Coordination Polymers Based on Tetrafluorobenzenedicarboxylate and Benzonitrile Ligands 被引量:2
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作者 刘淑芹 李晓娟 +2 位作者 狄玲 丁保君 张建军 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2013年第7期969-974,共6页
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),... 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. 展开更多
关键词 coordination polymers crystal structure weak interactions
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One-dimensional Chain Topology in [Ag(C_6H_6NCl)_2](ClO_4), Generated through Weak Interaction between Molecules
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作者 孙道峰 曹荣 +2 位作者 梁玉仓 洪茂椿 苏伟平 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 北大核心 2001年第3期165-167,共3页
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 paramete... 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?. 展开更多
关键词 MONONUCLEAR linear weak interaction ONE-DIMENSION
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Weak Interactions and 2D Layer Structure of a New Ion-pair Complex Bis(1-benzyl-4-methylquinolinium)-bis(maleonitriledithiolato)nickel(Ⅱ)
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作者 周家容 倪春林 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 北大核心 2007年第11期1263-1266,共4页
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 ... 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. 展开更多
关键词 1-benzyl-4-methylquinolinium bis (maleonitriledithiolate)nickclatc(Ⅱ) complex weak interactions 2D layer structure
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NMR STUDIES ON THE WEAK INTERACTION OF FOUR-MONONUCLEOTIDES WITH TRYPTAMIDE AND LEUCINAMIDE
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作者 Wen Qing WANG Xiang DING +4 位作者 Jian JIANG Guang Zhong TU Li Bin MA Shao Liang HONG 《Chinese Chemical Letters》 SCIE CAS CSCD 1993年第5期431-434,共4页
NMR spectroscopy analysis was introduced to investigate the weak interaction of four 5'—mononucleotides with tryptamide and leucinamide. Assuming a 1∶1 complex formation, the association constants were determine... NMR spectroscopy analysis was introduced to investigate the weak interaction of four 5'—mononucleotides with tryptamide and leucinamide. Assuming a 1∶1 complex formation, the association constants were determined by nonlinear regression analysis. The association affinity of 4 mononucleotides with tryptamide decreased in the order: G>A>C>U, indicating that purine bases stack more strongly with tryptamide than pyrimidine bases. But with leucinamide the affinity decreases in the order: G>C>A=U, suggesting an amino acid—anticodonic preferential interaction. The implication of the present data to the origin of genetic code was briefly discussed. 展开更多
关键词 NMR STUDIES ON THE weak interaction OF FOUR-MONONUCLEOTIDES WITH TRYPTAMIDE AND LEUCINAMIDE
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Selection Rules in Weak Interaction and Conservation of Fermion Quantum Number
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作者 Xinhua Ma 《Journal of Modern Physics》 2022年第5期700-706,共7页
Traditionally, in weak interaction, I<sub>3</sub>, Y and four flavour quantum numbers are not conserved but several empirical selection rules work well. Recently, it was found that, in weak interaction, th... Traditionally, in weak interaction, I<sub>3</sub>, 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 F<sub>0</sub> is more general than Gell-Mann-Nishijima formula. Description of weak interaction becomes simpler, If only we take Q, F<sub>0</sub> and F, based on the conserved physical quantities. 展开更多
关键词 weak interaction Selection Rules Fermion Quantum Number
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The Weak Interaction on CO_2...CO van der Waals Complex: A Theoretical Study 被引量:1
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作者 CAO Zhao-hua +2 位作者 BU Yu-xiang 《Chemical Research in Chinese Universities》 SCIE CAS CSCD 2003年第1期94-99,共6页
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 structu... 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. 展开更多
关键词 CO 2...CO van der Waals complex weak interaction MP2 calculation DFT calculation
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Complexation Induced by Weak Interaction between DNA and PEO-b-P4VP below the CMC of the Polymer 被引量:1
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作者 han miao ya-fen wang +1 位作者 hai-yan dong 陈道勇 《Chinese Journal of Polymer Science》 SCIE CAS CSCD 2017年第1期46-53,共8页
The complexation between circular DNA and individual chains of PEO-b-P4VP with a relatively long PEO block and a short P4VP block is highly controllable when the interaction between DNA and the polymer is weak enough.... The complexation between circular DNA and individual chains of PEO-b-P4VP with a relatively long PEO block and a short P4VP block is highly controllable when the interaction between DNA and the polymer is weak enough. When one circular DNA chain is taken into consideration, and the polymer concentration is far below its critical micelle concentration (CMC), polymer chains are absorbed by DNA chain due to the interaction between the negatively charged DNA chain and the slightly positively charged P4VP block chains. After the adsorption/complexation, the DNA chain is converted into a nanoring (type 1). In the nanoring, the DNA chain is sufficiently wrapped by the polymer and adopts a fully stretched conformation, so that the DNA compact ratio in the nanorings is close to 1. When the polymer concentration is close to but lower than the CMC, the free polymer chains in the solution are adsorbed not only by the DNA chain but also by the polymer chains that have already been adsorbed on the DNA chain. As a result, the circular DNA chain adsorbs more polymer chains, and thus the resultant nanoring (type 2) has a larger width. In the type 2 nanoring, the DNA chain is slightly compressed; the DNA compact ratio is only about 2-3. Therefore, complexation induced by the weak interaction between DNA and PEO-b-P4VP below the CMC can produce narrow-disperse and large nanorings with a perimeter of micrometers, which are difficult to prepare by existing methods. 展开更多
关键词 weak interaction DNA Individual polymer chains Block copolymer Critical micelle concentration
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Cation-induced assembly of Zn(Ⅱ),Cd(Ⅱ) and Hg(Ⅱ) coordination complexes and DFT calculations to evaluate weak interactions between the helical chains
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作者 GENG WenQian LI XianLei +6 位作者 YIN JianHui KE WeiZai HAO FuYin XU GuoYi ZHOU HongPing WU JieYing TIAN YuPeng 《Science China Chemistry》 SCIE EI CAS 2011年第1期173-179,共7页
Two new coordination polymers [ZnLI2]∞ (1) and [CdLI2]∞ (2) (L: 3,6-di-(1,2,4-triazole-l-yl)-N-hexylcarbazole) were syn- thesized and their crystal structures were determined by single-crystal X-ray diffrac... Two new coordination polymers [ZnLI2]∞ (1) and [CdLI2]∞ (2) (L: 3,6-di-(1,2,4-triazole-l-yl)-N-hexylcarbazole) were syn- thesized and their crystal structures were determined by single-crystal X-ray diffraction techniques. Complexes are both constructed with the helical chains along the 2l screw axis. The coordination bond, C-H...I weak interactions and π-π interactions play significant roles in constructing their 3D or 2D frameworks. Two different DFT calculations are performed for the weak interactions between the helical chains of the three different coordination polymers ([ZnLI2]∞[CdLI2]∞, and the reported [HgLI2]∞). The results reveal that weak interactions play important roles in these supramolecular systems of helical configuration, namely, the trend is the shorter H…I distance and π-π stacking distance, the stronger the intermolecular interactions. The photoluminescence of the complexes measured in the solid state at room temperature indicates that the emission intensity varies extensively, which can be rationalized by the heavy atom effect. helical configuration, weak interactions, DFT calculations, photoluminescence 展开更多
关键词 helical configuration weak interactions DFT calculations PHOTOLUMINESCENCE
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Peptide-Conjugated AggregationInduced Emission Fluorogen:Precise and Firm Cell Membrane Labeling by Multiple Weak Interactions
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作者 Juliang Yang Jing-Jing Hu +4 位作者 Jiaming Wei Jun Dai Rui Liu Fan Xia Xiaoding Lou 《CCS Chemistry》 CAS 2022年第2期464-475,共12页
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.Howeve... 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. 展开更多
关键词 cell membrane labeling fluorescent probe PEPTIDE aggregation-induced emission weak interactions
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Unraveling weak interactions in aniline-pyrrole dimer clusters
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作者 Chengqian Yuan Pan An +2 位作者 Jing Chen Zhixun Luo Jiannian Yao 《Science China Chemistry》 SCIE EI CAS CSCD 2016年第10期1270-1276,共7页
Weak intermolecular interactions in aniline-pyrrole dimer clusters have been studied by the dispersion-corrected density functional theory(DFT) calculations. Two distinct types of hydrogen bonds are demonstrated with ... Weak intermolecular interactions in aniline-pyrrole dimer clusters have been studied by the dispersion-corrected density functional theory(DFT) calculations. Two distinct types of hydrogen bonds are demonstrated with optimized geometric structures and largest interaction energy moduli. Comprehensive spectroscopic analysis is also addressed revealing the orientation-dependent interactions by noting the altered red-shifts of the infrared and Raman activities. Then we employ natural bond orbital(NBO)analysis and atom in molecules(AIM) theory to have determined the origin and relative energetic contributions of the weak interactions in these systems. NBO and AIM calculations confirm the V-shaped dimer cluster is dominated by N.H···N and C.H···π hydrogen bonds, while the J-aggregated isomer is stabilized by N.H···π, n→π* and weak π···π* stacking interactions.The noncovalent interactions are also demonstrated via energy decomposition analysis associated with electrostatic and dispersion contributions. 展开更多
关键词 weak intermolecular interactions ANILINE PYRROLE dimer cluster hydrogen bonding nature bond orbital energy decomposition
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Short—Time Critical Behavior Affected by Weakly Long—Range Interactions
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作者 CHENYuan LIZhi-Bing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2001年第4期475-479,共5页
The theoretic renormalization group approach is applied to the study of short-time critical behavior of the Ginzburg–Landau model with weakly long-range interactions . The system initially at a high temperature is fi... The theoretic renormalization group approach is applied to the study of short-time critical behavior of the Ginzburg–Landau model with weakly long-range interactions . The system initially at a high temperature is firstly quenched to the critical temperature and then released to an evolution with a model A dynamics. A double expansion in and with of order is employed, where is the spatial dimension. The asymptotic scaling laws and the initial slip exponents and for the order parameter and the response function respectively are calculated to the second order in for close to 2. 展开更多
关键词 Ginzburg-Landau model short-time critical dynamics weakly long-range interactions
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INTERACTION OF STRONG AND WEAK SINGULARITIES FOR HYPERBOLIC SYSTEM OF CONSERVATION LAWS IN MULTIDIMENSIONAL SPACE
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作者 陈恕行 《Acta Mathematica Scientia》 SCIE CSCD 1990年第3期298-302,共5页
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 b... 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. 展开更多
关键词 interaction OF STRONG AND weak SINGULARITIES FOR HYPERBOLIC SYSTEM OF CONSERVATION LAWS IN MULTIDIMENSIONAL SPACE
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The Origin, Properties and Detection of Dark Matter and Dark Energy
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作者 Sylwester Kornowski 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2024年第2期749-774,共26页
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 wi... 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). 展开更多
关键词 New Cosmology Dark Matter DM-BM weak interactions DMH Mass around Quasars Rotation Curves of Galaxies MAGNETARS CMB AGN-Jet Production Galactic-Halo Production Dark Energy
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Calculation of the Standard Model Parameters and Particles Based on a SU(4) Preon Model
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作者 Jan Helm 《Journal of Modern Physics》 2024年第1期64-124,共61页
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 S... 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. 展开更多
关键词 SU(4) Generalization of weak interaction Extension of Standard Model Numerical Minimization of Action Hyper-Color Preon
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Three Clifford Algebras for Four Kinds of Interactions 被引量:1
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作者 Claude Daviau Jacques Bertrand 《Journal of Modern Physics》 2016年第9期936-951,共16页
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 e... 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. 展开更多
关键词 GEOMETRY Invariance Group Dirac Equation Electromagnetism weak interactions Strong interactions Clifford Algebras GRAVITATION
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Crystal Structure and Interaction with DNA of [Ni(phen)(mal)(H_2O)_2]·3H_2O
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作者 高恩君 程卯生 +1 位作者 于影 孙亚光 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 北大核心 2007年第1期59-62,共4页
A new complex [Ni(phen)(mal)(H2O)2]·3H2O (phen = 1,10-phenanthroline, real^2- = malonic acid) has been synthesized by the reaction of nickel nitrate, phen and malonic acid. EA, IR spectra and X-ray single... A new complex [Ni(phen)(mal)(H2O)2]·3H2O (phen = 1,10-phenanthroline, real^2- = malonic acid) has been synthesized by the reaction of nickel nitrate, phen and malonic acid. EA, IR spectra and X-ray single-crystal diffraction were carried out to determine the composition and crystal structure of the title complex. Crystal data: monoclinic system, space group P2/c,α = 8.937(3), b = 12.163(5), c = 9.725(3) A,β = 119.36°, C15H19N2O9Ni,Mr= 430.03, Z = 2, F(000) = 446, V= 921.3 A3, Dc = 1.550 g/cm^3, μ= 1.104 mm^-1, -10≤h≤10, -12≤k≤ 14, -11≤1≤7, R = 0.0261 and wR = 0.0609 for 4376 (Rint = 0.0203) independent reflections and 1631 observed ones (I 〉 2σ(I)). Ni(Ⅱ) exhibits an octahedral coordination geometry, with hydrogen bonds and π-π interactions stabilizing the whole structure. UV spectrum of the complex interacting with protamine DNA indicates that the title compound interacts with DNA via insertion mode with bonding constant Kb of 1. 11 × 10^4. 展开更多
关键词 Ni( molecular structure weak interaction DNA
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Towards the Unification of All Interactions (The First Part: The Spinor Wave)
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作者 Claude Daviau Jacques Bertrand Dominique Girardot 《Journal of Modern Physics》 2016年第12期1568-1590,共23页
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 c... 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. 展开更多
关键词 Electromagnetism weak interactions Strong interactions GRAVITATION Clifford Algebra Dirac Equation Lagrangian Formalism Gauge Groups Relativistic Invariance Electron Magnetic Monopole QUARK Photon Gauge Boson Unification
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Gravitational Term in Semi Empirical Mass Formula
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作者 Mohamed E. Kelabi Ahmed E. Elhmassi 《Journal of High Energy Physics, Gravitation and Cosmology》 2023年第4期1067-1072,共6页
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... 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. 展开更多
关键词 Liquid Drop Binding Energy Odd-A Nuclei GRAVITATION weak interaction
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Synthesis and Crystal Structure of a Two-dimensional Framework Supramolecular Complex [Mn(phen)(DPZDA)(H_2O)]·2H_2O 被引量:4
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作者 孙亚光 谷晓夫 +1 位作者 高恩君 陈尚东 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 北大核心 2006年第12期1431-1434,共4页
A novel two-dimensional supramolecular complex [Mn(phen)(DPZDA)(H2O)]·2H2O has been synthesized by the reaction of Mn(CH3COO)2, 1,10-phenanthroline (phen) and H2DPZDA (3,5-dimethyl-pyrazine-2,6-dicarbo... A novel two-dimensional supramolecular complex [Mn(phen)(DPZDA)(H2O)]·2H2O has been synthesized by the reaction of Mn(CH3COO)2, 1,10-phenanthroline (phen) and H2DPZDA (3,5-dimethyl-pyrazine-2,6-dicarboxylic acid). Elemental analysis, IR spectra and X-ray singlecrystal diffraction were carried out to determine the composition and crystal structure of the title complex. Crystal data: triclinic system, space group P1, a = 7.7474(13), b = 9.3381(15), c = 15.146(3) A, α = 93.872(3), β= 102.451 (11 ), y = 105.261 ( 11)°, C20H20MnN4O7, Mr = 483.34, Z = 2, F(000) = 498, V=1023.2(3)A^3, Dc=1.569 g/cm^3,μ=0.697 mm^-1, -9≤h≤9, -11≤k≤10, -18≤l≤12, R = 0.0365 and wR=0.0901 for 3585 independent reflections (Rint= 0.0165) and 2923 observed reflections (I〉 2σ(I)). Structural analysis indicates that Mn(Ⅱ) adopts a distorted octahedral geometry. The 2-D framework supramolecular structure of the title complex is constructed from hydrogen bonds and π…π interactions. 展开更多
关键词 Mn(Ⅱ) crystal structure weak interaction SUPRAMOLECULE
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