Macropolyhedral boron-containing cluster chemistry. Ligand-induced two-electron variations of intercluster bonding intimacy. Structures of nineteen-vertex [(eta5-C5Me5)HIrB18H19(PMe2Ph)] and the related carbene complex [(eta5-C5Me5)HIrB18H19[C(NHMe)2]

Addition of PMe2Ph to fused-cluster syn-[(eta5-C5Me5)IrB18H20] 1 to give [(eta5-C5Me5)HIrB18H19(PMe2Ph)] 3 entails a diminution in the degree of intimacy of the intercluster fusion, rather than retention of inter-subcluster binding intimacy and a nido-->arachno conversion of the character of either of the subclusters. Reaction with MeNC gives [(eta5-C5Me5)HIrB18H19[C(NHMe)2]] 4 which has a similar structure, but with the ligand now being the carbene [:C(NHMe)2], resulting from a reductive assembly reaction involving two MeNC residues and the loss of a carbon atom.     

Ten-vertex polyhedral azametallaborane chemistry: a unique nido-6,9 to nido-6,8-cluster isomerization

Reaction of the [arachno-4-NB(8)H(12)](-) anion with [RhCl(2)(eta(5)-C(5)Me(5))](2) in CH(2)Cl(2) at room temperature affords a mixture of red '6,9' isomer [9-(eta(5)-C(5)Me(5))-nido-6,9-NRhB(8)H(11)] () and its yellow '6,8' isomer, [8-(eta(5)-C(5)Me(5))-nido-6,8-NRhB(8)H(11)] (). Under the same conditions, reactions of with [IrCl(2)(eta(5)-C(5)Me(5))](2) and [RuCl(2)(eta(6)-MeC(6)H(4)-4-(iso)Pr)](2) give the '6,8' isomers, yellow [8-(eta(5)-C(5)Me(5))-nido-6,8-NIrB(8)H(11)] () and red [8-(eta(6)-MeC(6)H(4)-4-(iso)Pr)-nido-6,8-NRuB(8)H(11)] (), respectively. In contrast, [IrCl(PPh(3))(3)] yields orange [9,9-(PPh(3))(2)-9-H-nido-6,9-NIrB(8)H(11)] (), which exhibits the '6,9' configuration. Compound isomerizes quantitatively in solution to give . At high temperatures, compound gives the yellow '6,8' species, [8,8-(PPh(3))(2)-8-H-nido-6,8-NIrB(8)H(11)] (), in low yields. Possible mechanisms for the unprecedented 6,9 --> 6,8 isomerization are discussed.     

Macropolyhedral boron-containing cluster chemistry. Synthesis of the nineteen vertex monocarbaborane [9-(terBuNH2)-(anti)-9-CB18H20] by direct carbon-atom Aufbau

[9-((ter)BuNH(2))-(anti)-9-CB(18)H(20)], in 36% yield from anti-B(18)H(22), sodium naphthalene and (ter)BuNC, constitutes the first example of a clean cluster carbon-addition Aufbau to form a macropolyhedral carbaborane.     

Polyhedral metallaheteroborane chemistry. Synthesis, spectroscopy, structure and dynamics of eleven-vertex {RhNB(9)} and {PtCB(9)} metallaheteroboranes

Reaction between [RhCl(PPh(3))(3)] and the [nido-6-NB(9)H(11)](-) anion in CH(2)Cl(2) yields orange eleven-vertex [8,8-(PPh(3))(2)-nido-8,7-RhNB(9)H(11)]. Reaction of the [nido-6-CB(9)H(12)](-) anion with [cis-PtCl(2)(PMe(2)Ph)(2)] in methanol affords yellow eleven-vertex [9-(OMe)-8,8-(PMe(2)Ph)(2)-nido-8,7-PtCB(9)H(10)], which is also formed from the reaction of MeOH with [8,8-(PPh(3))(2)-nido-8,7-PtCB(9)H(10)]. Both compounds have been characterised by single-crystal X-ray diffraction analysis and examined by NMR spectroscopy and have structures based on eleven-vertex nido-type geometries, with the metal centre and the heteroatoms in the adjacent (8)- and (7)-positions on the pentagonal open face. The metal-to-heteroborane bonding sphere of is fluxional, with a DeltaG(double dagger) value of 48.4 kJ mol(-1). DFT calculations on the model compounds [8,8-(PH(3))(2)-nido-8,7-RhNB(9)H(11)] and [8,8-(PH(3))(2)-nido-8,7-RhSB(9)H(10)] have been carried out to define the fluxional process and the intermediates involved.     

Azatricarbaborane 7-t-Bu-arachno-7,1,5,12-NC3B8H12 and Parent Tricarbaboranes nido-[5,6,9-C3B7H10]- and -5,6,9-C3B7H11

The neutral azatricarbaborane 7-t-Bu-arachno-7,1,5,12-NC(3)B(8)H(12), isolated as a side product (yield 2%) from the new synthesis of 7-t-BuNH2-nido-7,8,9-C(3)B(8)H(10) (yield 70%), can be easily converted to the first parent representatives of the 10-vertex nido family of tricarbaboranes, [5,6,9-C(3)B(7)H(10)]- and 5,6,9-C(3)B(7)H(11).     

带有交货期和加工时间可控的单机排序问 (运筹学与控制论)

讨论了带有交货期和工件的加工时间可控的单机排序问题。本文首先根据最优排序的性质确定了最优资源的分配方法,并将问题转化为指派问题,通过构造多项式时间算法确定最优排序。然后,本文将学习效应与加工时间可控问题结合,分别讨论了加工时间是线性资源函数和凸资源函数两种情况,证明了该类问题是多项式时间可解的。最后,讨论了一种特殊情况(学习因子是常数,加工时间是凸资源函数),给出了复杂性为O(nl ogn)的算法,通过运行此算法确定最优资源分配量和工件的最优排序。     

带有学习效应和退化效应的加工时间与资源有关的单机排序问题

研究了同时带有学习效应和退化效应的加工时间与资源有关的多窗口单机排序问题。工件实际的加工时间是关于分配资源量的凸函数,并且是关于开始加工时间的线性递增函数。每个工件都有一个交货期的窗口。若工件在此窗口中完工,则不会产生惩罚费用;否则工件在此窗口之前或之后完工,则会产生相应的提前或延误费用。目标是确定工件最优的加工顺序和最优的资源分配量,从而极小化总费用函数。考虑两个问题,第一个问题的目标函数是与提前、延误工件数、窗口的开始时间、窗口的大小、资源分配量以及最大完工时间有关的函数;第二个问题的目标函数是关于提前、延误、窗口的开始时间、窗口的大小、资源分配量以及最大完工时间的函数。针对这两个问题也分别给出了两个多项式时间算法。
     

带有分段线性递减加工时间和拒绝工件的单机排序问题

讨论了带有分段线性递减加工时间和拒绝工件的单机排序问题。在这一模型中,工件的实际加工时间是关于开始时间的分段线性递减函数,目标函数是极小化被接受工件的最大完工时间和被拒绝工件的总惩罚之和。这一问题是NP-难的。基于对问题的分析,给出了一个全多项式近似策略。全多项式近似策略的计算复杂性为 O(n4L4/ε3)。
     

Additive character of electron donation by methyl substituents within a complete series of polymethylated [1-(η6-Me9n)C6H(6-n))-closo-1,2,3-FeC2B9H11] complexes. Linear correlations of the NMR parameters and Fe(II/III) redox potentials with the number of arene methyls

A systematic method for the incorporation of the {(η(6)-Me(n)C(6)H(6-n))Fe} fragment into the dicarbollide cage was developed based on reactions between [(η(6)-Me(n)C(6)H(6-n))(2)Fe][PF(6)](2) salts (1) and Tl(2)[nido-7,8-C(2)B(9)H(11)]. These reactions proceed with elimination of one arene ligand to generate a complete series of the neutral [1-(η(6)-Me(n)C(6)H(6-n))-closo-1,2,3-FeC(2)B(9)H(11)] (2) complexes with n = 1-6 in yields ranging 15-70% depending on the arene. The structures of mesitylene and pentamethylbenzene complexes were established by X-ray diffraction analyses. All compounds were characterized by (11)B and (1)H NMR measurements, mass spectra, melting points and elemental analyses. Correlations between selected (1)H and (11)B NMR parameters and the Fe(II/III) redox potentials and the number of arene methyls for complexes 2 are linear. These facts establish direct evidence for a strictly additive character of electron donation by the methyl substituents to the arene ring and further to the Fe center and the second (dicarbollide) ligand.Correlations between the number of arene methyls (n) and selected (1)H and (11)B NMR parameters or the Fe(II/III) redox potentials for complexes [1-(η(6)-MenC(6)H(6-n))-closo-1,2,3-FeC(2)B(9)H(11)] are of strictly linear character.     

Monocarbaborane chemistry. Preparation and characterisation of [4-CB8H9]-, the 'missing' closo-carbaborane anion

Thermolysis in the solid state of Cs+[arachno-CB9H14]-, or of Cs+[nido-CB9H12]-, or the oxidation of nido-1-CB8H12 with I2 in THF at -78 degrees C in the presence of NEt3, gives the first nine-vertex closo monocarbaborane, the stable [closo-4-CB8H9]- anion, in yields of 56, 61 and 75%, respectively.