The growing need for high-purity lanthanides demands more selective separation strategies. Existing approaches mainly follow lock-and-key or induced-fit principles: the former uses fixed binding cavities for size-based recognition and the latter relies on adaptive, energy-favored architectures. Although impressive trends such as reversed, V-shaped, and S-shaped selectivity have been achieved, cation-specific selectivity remains rare. Here, we show that an asymmetric ligand design at the atomic level can be highly effective. Introducing sulfur into a phenanthroline-diimine scaffold produced an asymmetrical ligand with unexpected Nd selectivity among light lanthanides. Spectroscopic titrations confirmed this behavior: despite lowering overall binding affinity, sulfur incorporation enhanced Nd selectivity by two orders over La and Eu. This validates the asymmetric ligand design as a promising route to f-element discrimination.
We construct two rainbow tensor models with multi-tensors of rank-$3$ and present their $W$-representations. We give the formula of counting number of independent gauge-invariant operators in terms of Hurwitz numbers and establish a one-to-one correspondence between connected operators and colored Dessins. By means of the colored Dessins and $W$-representations, respectively, we derive two compact expressions of correlators for each of rainbow tensor models. Furthermore, two complex multi-matrix models from the degradations of the constructed rainbow tensor models are also discussed.
In this letter we continue the development of W-representations. We propose several generalizations of the known models, such as the hypergeometric Hurwitz τ-functions. We construct W-representations for multi-character expansions, which involve a generic number of sets of time variables. We propose integral representations for such kind of partition functions which are given by tensor models and multi-matrix models with multi-trace couplings. We further propose the β-deformation of the discussed W-representation for the Hurwitz case for two sets of times as well as for the multi-character case.
We construct a two-tensor model with order-3 and present its W-representation. Moreover we derive the compact expressions of correlators from the W-representation and analyze the free energy in large N limit. In addition, we establish the correspondence between two colored Dyck walks in the Fredkin spin chain and tree operators in the ring. Based on the classification Dyck walks, we give the number of tree operators with the given level. Furthermore, we show the entanglement scaling of Fredkin spin chain beyond logarithmic scaling in the ordinary critical systems from the viewpoint of tensor model.
We construct the complex multi-matrix model with W-representation and calculate the correlators. We establish the correspondence between the connected correlators and length-2n q-colored Dyck walks in Fredkin spin chain and discuss the entanglement entropy. Moreover, we analyze the free energy of this multi-matrix model. For the leading coefficient of the free energy, it relates to the connected correlators in large N limit.
In this paper, we reinvestigate a two-matrix model with three sets of coupling constants and derive two series of constraints. One series of the constraint operators yield the exact W1+infinity algebra. Other constraints are derived from the higher-order total derivatives which are associated with the free fermion point of the Calogero system. We further construct the two-supereigenvalue models and derive their super-Virasoro constraints.
The Hermitian, complex and fermionic two-matrix models with infinite set of variables are constructed. We show that these two-matrix models can be realized by the $W$-representations. In terms of the $W$-representations, we derive the compact expressions of correlators for these two-matrix models.
We give the keystone operators and construct a graded ring with tree and loop operators. In terms of the keystones operators, connected tree and loop operators in the ring, we construct the rainbow tensor model with two tensors of rank-3 and present its $W$-representation. Moreover we derive the compact expressions of correlators from the $W$-representation and analyze the free energy in large $N$ limit. In addition, we establish the correspondence between two colored Dyck walks in the Fredkin spin chain and tree operators in the ring. Based on the classification Dyck walks, we give the number of tree operators with the given level. Furthermore, for the entanglement entropy of the Fredkin spin chain, we show the entanglement scaling beyond logarithmic scaling in the ordinary critical systems from the viewpoint of tensor model.
A series of diaryl selenium compounds were synthetized from N-arylamide compounds and diphenyl diselenide,using K2S2O8 as oxidant without any transition metal catalyst.Mechanistic studies reveal that the reaction proceeds a sin-gle-electron transfer radical process.The dominant products are o-substituted and p-substituted product,depending on the sta-bility of intermediates.The synthetic reaction exhibits some outstanding advantages,such as substrate tolerance,high regiose-lectivity,convenience and low-price.
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
A facile transition metal-free decarboxylative C4 selective difluoroarylmethylation of 8-aminoquinolines under simple aqueous conditions has been developed.
An operationally simple electrochemical oxidative C-H trifluoromethylation of quinoxalin-2(1H)-ones was achieved by employing the inexpensive, readily available and easy processing CF3SO2Na as CF3 source. In the absence of any catalysts or oxidant reagents, this method is more in line with the requirements of green and sustainable development. Most importantly, "electric-descriptor-diagram" was used to evaluate the reaction substrates. The reactive/non-reactive boundary and the trend of yield change can been clearly seen.
Abstract C25H20N2O2Se2, triclinic, P 1 ‾ $‾{1}$ (no. 2), a = 9.6050(2) Å, b = 9.7531(2) Å, c = 13.2788(2) Å, α = 75.130(1)°, β = 81.824(1)°, γ = 72.329(2)°, V = 1142.75(4) Å3, Z = 2, R gt (F) = 0.0393, wR ref (F 2) = 0.1092, T = 294 K.
在地位和作用上,我国普通高中化学课程中的选修部分与美国AP化学课程相当.从理念与目标、结构与内容、实施与操作及考试与评价四个方面,对两者中的实验部分进行分析与比较.发现我国课程体系的顶层设计明显优于美国,但教学实践相对薄弱,这是根本性的差异.理念上我国重视核心素养等上位的目标,美国主张做中学培养动手能力;内容上我国倾向于将实验作为教学内容之一,美国则视实验为一以贯之的教学手段与方法;我国没有规定实验的课时,以致往往是"讲"实验,美国要求学生实际操作的时间接近总课时的三分之一,强调"做"实验;评价上我国正向"教学评一体化"迈进,AP课程已将学生实验室工作记录等作为大学录取的参考.基于优势互补,本研究提出了相关建议.
A convenient and effective method for Pd‐catalyzed cross‐dehydrogenative C( sp 2 )−H/N−H couplings to synthesize fused N‐heterocyclic benzimidazoquinazoline derivatives was developed. The reaction employs Pd(OAc) 2 as the catalyst and Cu(OAc) 2 or O 2 (from the air) as the terminal oxidant. The strategy uses simple and easily accessible substrates. This method provides a route to azole‐fused heterocycles.
In this paper, a simple and practical synthesis of benzo[e]benzo[4,5]imidazo[1,2-c][1,3]thiazin-6-imine tetracyclic heterocycles via a CuI nanoparticle-catalyzed intramolecular C(sp(2))-S coupling reaction is presented. This strategy provides a straightforward method for synthesizing analogs of the anti-HIV drug 3,4-dihydro-2H,6H-pyrimido[1,2-c][1,3]benzothiazin-6-imine (PD 404182). The reaction rate and yield were increased by employing CuI nanoparticles.
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
C16H13FeN3O2S, triclinic, P1̅, a = 8.1311(9) Å, b = 11.6852(13) Å, c = 17.044(2) Å, α = 102.754(6)°, β = 92.548(7)°, γ = 105.563(6)°, V = 1512.3(3) Å3, Z = 4, Rgt(F) = 0.0473, wRref(F2) = 0.1307, T = 296(2) K.
An iron-catalyzed dehydrogenative sp(3)-sp(2) coupling of acetonitrile and 2-arylimidazo[1,2-a]pyridine has been realized, which can serve as a novel approach toward heteroarylacetonitriles. The merit of this strategy is illustrated by the breadth of functional groups tolerated in the transformation and the fast access to pharmaceuticals (such as zolpidem) directly from the heteroarylacetonitriles.