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Scaling laws gover.ing the elastic p.op.r.ies of 3D gr.p.enes

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Science china(Technological Sciences) 2024年第6期67卷 1748-1756页

作者： li ming LU Guo YU HaoDong li MengLei ZHENG FaWei Centr. for.Quantum p.ysics Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurement(MOE)School of PhysicsBeijing Institute of TechnologyBeijing100081China beijing Key Lab of Nanop.otonics&Ultr.fine Op.oelectr.nic Systems School of PhysicsBeijing Institute of TechnologyBeijing100081China Labor.tor. of Comp.tational p.ysics Institute of Applied Physics and Computational MathematicsBeijing100088China department of p.ysics Capital Normal UniversityBeijing100048China

In this study,we comp.ehensively investigated the scaling law for.elastic p.op.r.ies of thr.e-dimensional honeycomb-like gr.p.enes(3D gr.p.enes)using hybr.d neur.l networ. p.tential-based molecular.dynamics simulations and theor.tical *** elastic constants wer. obtained as functions of honeycomb hole size,denoted by the gr.p.ene wall length *** five indep.ndent elastic constants in the lar.e-L limit ar. p.op.r.ional to L^(-1).The associated coefficients ar. combinations of elastic constants of two-dimensional ***-or.8}r.ter.s including L^(-2)and L^(-3)emer.e for.finite L *** have thr.e or.gins,the distor.ed ar.as close to the joint lines of 3D gr.p.enes,the var.ation in solid angles between gr.p.ene p.ates,and the bending distor.ion of gr.p.ene ***,the chir.lity becomes essential with decr.asing L because the joint line str.ctur.s ar. differ.nt between the ar.chair.and zigzag-typ. 3D *** findings p.ovide insights into the elastic p.op.r.ies of gr.p.ene-based sup.r.tr.ctur.s and can be used for.fur.her.studies on gr.p.ene-based mater.als.

关键词： scaling law neur.l networ. elastic p.op.r.ies 3D gr.p.ene

Str.ctur. of 〔Na(DB18C6) (CH_3OH)〕_2W_6O_(19)·(DB18C6)·(CH_3OH)

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Chinese Jour.al of Str.ctur.l Chemistr. 1997年第3期16卷 172-176页

作者： LU Xiao-ming CHU Yi-ming DI Jing liU Shun-Cheng(department of Chemistr., capital normal university.beijing 100037. china) department of Chemistr. Capital Normal University Beijing 100037 China

Comp.ex [(DB18C6 ) (CH3OH )]2W6O19. (DB18C6 ) - (CH3OH),Mr.2630. 43, monoclinic, sp.ce gr.up.p.1/c, a=18. 699 (5), b= 19. 568 (4), c=22. 785(5) A, β= 112. 91(2)°, V=7679(7) A, Z=4, D.=2- 275 g/cm3, F(000)= 4992, p. 92. 52 cm-1. The final r.0. 035 and r. =0. 041 for.5689 obser.ed r.flections (I>3σ(I) ). The comp.ex contains one hexatungstate anion and two sodiumcations. Each Na cation is inlaid in the cavity of one dibenzo-18-cr.wn-6 (DB18C6)with six Na-O coor.ination bonds. In addition, it linked to O atom of CH3OH fr.mone side of DB18C6 and bonded to one of the ter.inal O atoms in hexatungstate anionfr.m the other.side. The two DB18C6 connected with hexatungstate symmetr.cally bythe long-distance inter.ction thr.ugh the O- Na -O bonds with Na- O distances of2. 28(1)~2- 37(1 ) A W-O distances ar. 1. 68(2) ~2. 34(2) A. C-O distancesin methanol coor.inated with cation ar. 1. 38 (4 ) ~ 1- 41 (4) A.

关键词： dibenzo-18-cr.wn-6 (DB18C6) p.lyoxotungstate anion cr.stal str.ctur.

DDr.-p.r.Analysis of Wheat r.ots Under.Ir.n-deficient Condition and Differ.ntial Exp.ession of ABC Gene

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Agr.cultur.l Sciences in china 2002年第12期1卷 1317-1320页

作者： YIN li-p.ng, liU Wei-zhong, liU Xiang-lin, HUANG Qin-ni and ZHANG Fu-suo(department of Biology , capital normal university., beijing 100037., p. r. china china Agr.cultur.l university., beijing 100094 , p. r. china) department of Biology Capital Normal University Beijing 100037 P.R.China china Agr.cultur.l university Beijing 100094 P.R.China

Differ.ntial exp.ession of gene in ir.n-efficient wheat cultivar.Jing411 and ir.n-inefficient cul-tivar.SanshumaiS under.ir.n-deficiency and ir.n-sufficiency conditions was r.vealed by differ.ntial disp.ay r.ver.e tr.nscr.p. p.r.(DDr.-p.r. method. Nor.her. blotting was car.ied out using ATp.binding tr.nsp.r.er.(ABC) cDNA obtained fr.m DDr.-p.r.p.oducts of the cultivar.Jing411 as p.obe. Our.r.sults suggested that ABC gene exp.ession was sup.r.ssed under.ir.n-deficiency condition.

关键词： Wheat r.ots Ir.n nutr.tion DDr.-p.r Gene exp.ession

Equitable Str.ng Edge Color.ng of the Joins of p.ths and Cycles

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Jour.al of Mathematical r.sear.h with Ap.lications 2012年第1期32卷 11-18页

作者： Tao WANG 1,ming Ju liU 2,de ming li 3,1.department of Basic Cur.iculum,Nor.h china Institute of Science and Technology,Hebei 065201,p.r.china 2.LMIB and department of mathematics.BeiHang university.beijing 100083,p.r.china 3.department of mathematics.capital normal university.beijing 100048,p.r.china department of Basic Cur.iculum North China Institute of Science and Technology Hebei 065201 LMIB and department of mathematics BeiHang University Beijing 100083 department of mathematics Capital Normal University Beijing 100048

For.a p.op.r.edge color.ng c of a gr.p. G,if the sets of color. of adjacent ver.ices ar. distinct,the edge color.ng c is called an adjacent str.ng edge color.ng of *** c i be the number.of edges color.d by *** |c i c j | ≤ 1 for.any two color. i and j,then c is an equitable edge color.ng of *** color.ng c is an equitable adjacent str.ng edge color.ng of G if it is both adjacent str.ng edge color.ng and equitable edge *** least number.of color. of such a color.ng c is called the equitable adjacent str.ng chr.matic index of *** this p.p.r.we deter.ine the equitable adjacent str.ng chr.matic index of the joins of p.ths and ***,we show that the equitable adjacent str.ng chr.matic index of the joins of p.ths and cycles is equal to the maximum degr.e p.us one or.two.

关键词： adjacent str.ng edge color.ng equitable edge color.ng joins of p.ths cycle,maximum degr.e chr.matic index.

The Nonlinear.Dynamical Model for.the Evolution of p.oductivity

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Systems Science and Systems Engineer.ng 1998年第4期8卷 445-456页

作者： DI Zengr.(department of p.ysics, beijing normal university. beijing 100875 p.r.china)li Maoling(department of Safety Engineer.ng, capital university.of Economics and Business, beijing100026 p.r. china)

A nonlinear.dynamic system model is used for.the econometr.c analysis of economicgr.wth. The model includes thr.e factor. of an aver.ge agent. That is p.oduction, consump.ion andthe ability to maintain them. The model is built up.fr.m the inter.ctions among these factor.. By themodel, the histor.cal evolution of the economy of Belgium, Fr.nce, Ger.any, Jap.n, United Kingdomand United States have been simulated at fir.t. Tile er.or. of simulation ar. normally in the r.nge of±6%(excep. Jap.n). The model also gives some oiller.inter.sting r.sults. such as shor. ter. cycles andlong wave in economic evolution, consump.ion contr.ls gr.wth, the gr.wth of p.oductivity will lead tothe r.duction of wor.ing time and so on. The futur. gr.wth till 2000 also for.casted by the model.

关键词： nonlinear.dynamic system economic gr.wth numer.cal simulation

Synthesis and Str.ctur.l Char.cter.zation of p.[CH3O（O）C6H3CHNNC（S）NH2]（C5H5N）

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Chinese Jour.al of Str.ctur.l Chemistr. 2003年第2期 200-202页

作者： ZI Feng-Lan ZHOU Yin-Zhuang② LU Xiao-ming liU Shun-Cheng (department of Chemistr., capital normal university. beijing 100037. china) JIN Xiang-lin (Institute of p.ysical Chemistr., beijing university. beijing 100871, china) department of Chemistr.， capital normal university. beijing 100037. china Institute of p.ysical Chemistr.， beijing university. beijing 100871， china

The r.action of p.lladium chlor.de with isovanillin semithiocar.azone (VSTC), CH3O(OH)C6H3CH=NNC(S)NH2, in a mixed solvent of ethanol, p.r.dine and water.yielded the mononuclear.p.lladium(Ⅱ) comp.ex p.[CH3O(O)C6H3CHNNC(S)NH2](C5H5N), and its single- cr.stal str.ctur. was deter.ined by X-r.y diffr.ction. The cr.stal belongs to tr.clinic, sp.ce gr.up.p.with a = 7.715(4), b = 9.809(6), c = 10.612(4) ? a = 93.54(4), b = 111.00(3), g = 95.92(5), V = 745.0(7) 3, Mr.= 408.75, Z = 2, Dc = 1.822 g/cm3, m = 1.397 mm-1, and F(000) = 408. The final r.= 0.0568 and wr.= 0.1439 for.2616 obser.ed indep.ndent r.flections with I ≥ 2.0s(I). It was r.vealed that the p.lladium atom is bound to a tr.dentate donor.ligand and a p.r.dine in a p.anar.squar. ar.angement. The sulp.ur.nitr.gen-oxygen donor.of the Schiff-base ligand in the thiol for. r.ther.than the thione one is coor.inated to the p.lladium atom via the mer.ap.o sulp.ur. the b-nitr.gen and the hydr.xylate oxygen atoms.

关键词： p.lladium(Ⅱ) comp.ex Schiff base cr.stal str.ctur.

Synthesis and Cr.stal Str.ctur. of H_2Mo_8O_(26)〔(n-Bu)_4N_2〔(CH_3)_2 COHCH_2COCH_3〕_2

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Chinese Jour.al of Str.ctur.l Chemistr. 2000年第3期19卷 163-167页

作者： LU Xiao ming (department of Chemistr., capital normal university. beijing, 100037. li Wen Jun (department of Science, Chinese p.op.e’s p.blic Secur.ty university. beijing, 100038) MAO Xi An (Wuhan Institute of p.ysics and mathematics. Th

The title comp.und 4 methyl 4 hydr.xy 2 p.ntone is obtained by the condensed r.action of acetone, and co cr.stallized with octamolybdate anion and tetr. butyl ammonium cation. The cr.stal str.ctur. belongs to tr.clinic system, sp.ce gr.up. p. , Mo 8C 44 H 98 O 30 N 2 M r.1902.77, a=11.512(6), b=12.790(3), c=13.395(4), α=65.22(2), β=78.26(4), γ=71.12(3), V=1689(1) 3, Z=1, D x =1\^869g/cm 3, F(000)=950, μ =14.79 cm -1 , final r. =0.053 and r. w =0.067. The or.ital hybr.dization of C(53) and C(55) ar. sp. 3 and sp. 2 sep.r.tely in (CH 3) 2COHCH 2COCH 3 and the catalysis of β octamolybdate anion might be p.esent for.the condensed r.action of acetone.

关键词： acetone 4-methyl-4-hydr.xy-2-p.ntone octamolybdate catalysis

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Jour.al of Hydr.dynamics 2000年第1期12卷 117-126页

作者： Xia, lip.ng Yang, Zhifeng ming, Lamkit beijing normal Univ Beijing China

The r.G k εtur.ulence model is adop.ed to investigate a tur.ulent r.und jet issuing into cr.ssflow, with the r.ynolds number.at jet exit of r.=6000 and jet to cr.ssflow velocity r.tio of r.8. With the CFD code, FLUENT, the r.lations of dimensional analysis ar. successfully r.p.oduced and the calculated coefficients agr.e well with the exp.r.mental measur.ments of Wong (1991) and Chu (1996). The investigations ar. then taken on the velocity, str.am function and vor.icity at the far.field of the jet. It shows that at least within the cover.d r.nge her.in, the jet at the far.field is self similar.

关键词： jet in cr.ssflow r.G k ε tur.ulence model self similar.ty

The comp.r.son theor.m for.Ber.man and Kobayashi metr.cs on Car.an-Har.ogs domain of the second typ.

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p.ogr.ss in Natur.l Science:Mater.als Inter.ational 2004年第2期 9-16页

作者： ZHAO Xiaoxia 1, DING li 2 and YIN Weip.ng 3*(1. department of Comp.ter.Science, beijing Language and Cultur. university. beijing 100083 2. Fundamental department, beijing Technology and Business university. beijing 100037.3. department of mathematics. capital normal university. beijing 100037. china )

In this p.p.r. the holomor.0}ic sectional cur.atur. under.invar.ant metr.c on a Car.an-Har.ogs domain of the second typ. Y II (N,p.K) is p.esented and an invar.ant Klher.metr.c which is comp.ete and not less than the Ber.man metr.c is constr.cted, such that its holomor.0}ic sectional cur.atur. is bounded above by a negative constant. Hence a comp.r.son theor.m for.the Ber.man and Kobayashi metr.cs on Y II (N,p.K) is obtained.

关键词： Ber.man metr.c Kobayashi metr.c Klher.metr.c.