Random replicators with high-order interactions

We use tools of the equilibrium statistical mechanics of disordered systems to study analytically the statistical properties of an ecosystem composed of N species interacting via random mutual interactions, as well as via deterministic self-interactions of order p>/=2. We show that the main effect of increasing the order of the interactions among the species is to make the system less competitive, in the sense that the fraction of extinct species is greatly reduced. In addition, we find that for p>2 there is a threshold value which gives a lower bound to the concentration of the surviving species, preventing then the existence of rare species and, consequently, increasing the robustness of the ecosystem to external perturbations.     

Hydrogen-atom abstraction from Ni(I) phosphido and amido complexes gives phosphinidene and imide ligands

Hydrogen-atom abstraction from M-E(H) to generate M═E-containing complexes (E = PR, NR) is not well studied because only a few complexes are known to undergo such reactions. Hydrogen-atom abstraction from nickel(I) phosphide and amide complexes led to the corresponding phosphinidene and imide compounds. These reactions are unparalleled in the organometallic chemistry of nickel and feature an unusual example of a transition-metal phosphinidene synthesized by hydrogen-atom abstraction.     

Snapshots of the oxidative-addition process of silanes to nickel(0)

Addition of hydridosilanes, Ar₂SiHX, to the labile Ni(0) benzene complex [(dtbpe)Ni]₂(C₆H₆) (1; dtbpe=1,2-bis(di-tert-butylphosphino)ethane) gives mononuclear Ni(II) hydride silyl complexes of the formulation (dtbpe)Ni(μ-H)SiAr₂X (2, X=H, Ar=Mes; 3, X=H, Ar=Ph; 4, X=Me, Ar=Ph; 5, X=Cl, Ar=Ph). Although the crystal structures of two representatives of the series indicate square-planar coordination around nickel, in solution structures having apparent C_2v symmetry are observed. We propose that this behavior is due to a fluxional process that involves η²-SiH intermediates. Other data are also consistent with the facile reductive elimination of the silane to regenerate nickel(0) products. Oxidation of 2 and 3 with triphenylcarbenium tetrakis(pentafluorophenyl)borate results in silane elimination and formation of [(dtbpe)Ni(η³-C₆H₅CPh₂)⁺][B(C₆F₅)₄⁻] (6), the structure of which shows the CPh₃⁻ ligand bound to a Ni(II) center through a phenyl ring in an η³-allylic fashion.     

Redox-induced umpolung of transition metal carbenes

Metal carbene complexes have been at the forefront of organic and organometallic synthesis and are instrumental in guiding future sustainable chemistry efforts. While classical Fischer and Schrock type carbenes have been intensely studied, compounds that do not fall within one of these categories have attracted attention only recently. In addition, applications of carbene complexes rarely take advantage of redox processes, which could open up a new dimension for their use in practical processes. Herein, we report an umpolung of a nucleophilic palladium carbene complex, [{PC(sp²)P}^tBuPd(PMe₃)] ({PC(sp²)P}^tBu = bis[2-(di-iso-propylphosphino)-4-tert-butylphenyl]methylene), realized by successive one-electron oxidations that generated a cationic carbene complex, [{PC(sp²)P}^tBuPdI]⁺, via a carbene radical, [{PC˙(sp²)P}^tBuPdI]. An EPR spectroscopic study of [{PC˙(sp²)P}^tBuPdI] indicated the presence of a ligand-centered radical, also supported by the results of reactions with 9,10-dihydroanthracene and PhSSPh. The cationic carbene complex shows electrophilic behavior toward nucleophiles such as NaH, ^pTolNHLi, PhONa, and PMe₃, resulting from an inversion of the electronic character of the Pd–C_carbene bond in [{PC(sp²)P}^tBuPd(PMe₃)]. The redox induced umpolung is reversible and unprecedented.     

Palladium carbene complexes as persistent radicals

A series of palladium(ii) radical carbene complexes, [PC˙(sp²)P]PdI, [PC˙(sp²)P]PdBr, and [PC˙(sp²)P]PdCl (PC(sp³)H₂P = bis[2-(di-iso-propylphosphino)-phenyl]methane), is described. Compound [PC˙(sp²)P]PdI dimerizes to {[PC(sp²)P]PdI}₂ in the solid state, akin to the formation of Gomberg''s dimer. While the bromo and the iodo derivatives could be obtained from the oxidation of [PC(sp²)P]Pd(PMe₃) by the respective dihalogens, a halogen transfer reaction from CH₂Cl₂ was used for the formation of [PC˙(sp²)P]PdCl. The halogen transfer from CH₂X₂ (X = Cl, Br, I) could be used to obtain all three radical carbene palladium complexes and also allowed the isolation of [PC(CH₂)P]Pd(PMe₃), which is the result of methylene group transfer from CH₂X₂. Compound [PC(CH₂)P]Pd(PMe₃) was independently synthesized from [PC(CH₃)HP]PdCl₂, which contains a supporting ligand analogous to that of the radical carbene complexes but has one of the hydrogen atoms replaced by a methyl group. All three carbene radical species abstract a hydrogen from 9,10-dihydroanthracene or ⁿBu₃SnH.     

Synthesis and characterization of three-coordinate Ni(III)-imide complexes

A new family of low-coordinate nickel imides supported by 1,2-bis(di-tert-butylphosphino)ethane was synthesized. Oxidation of nickel(II) complexes led to the formation of both aryl- and alkyl-substituted nickel(III)-imides, and examples of both types have been isolated and fully characterized. The aryl substituent that proved most useful in stabilizing the Ni(III)-imide moiety was the bulky 2,6-dimesitylphenyl. The two Ni(III)-imide compounds showed different variable-temperature magnetic properties but analogous EPR spectra at low temperatures. To account for this discrepancy, a low-spin/high-spin equilibrium was proposed to take place for the alkyl-substituted Ni(III)-imide complex. This proposal was supported by DFT calculations. DFT calculations also indicated that the unpaired electron is mostly localized on the imide nitrogen for the Ni(III) complexes. The results of reactions carried out in the presence of hydrogen donors supported the findings from DFT calculations that the adamantyl substituent was a significantly more reactive hydrogen-atom abstractor. Interestingly, the steric properties of the 2,6-dimesitylphenyl substituent are important not only in protecting the Ni═N core but also in favoring one rotamer of the resulting Ni(III)-imide, by locking the phenyl ring in a perpendicular orientation with respect to the NiPP plane.     

Maturation of auditory temporal integration and inhibition assessed with event-related potentials (ERPs)

Background

We examined development of auditory temporal integration and inhibition by assessing electrophysiological responses to tone pairs separated by interstimulus intervals (ISIs) of 25, 50, 100, 200, 400, and 800 ms in 28 children aged 7 to 9 years, and 15 adults.

Results

In adults a distinct neural response was elicited to tones presented at ISIs of 25 ms or longer, whereas in children this was only seen in response to tones presented at ISIs above 100 ms. In adults, late N1 amplitude was larger for the second tone of the tone pair when separated by ISIs as short as 100 ms, consistent with the perceptual integration of successive stimuli within the temporal window of integration. In contrast, children showed enhanced negativity only when tone pairs were separated by ISIs of 200 ms. In children, the amplitude of the P1 component was attenuated at ISIs below 200 ms, consistent with a refractory process.

Conclusions

These results indicate that adults integrate sequential auditory information into smaller temporal segments than children. These results suggest that there are marked maturational changes from childhood to adulthood in the perceptual processes underpinning the grouping of incoming auditory sensory information, and that electrophysiological measures provide a sensitive, non-invasive method allowing further examination of these changes.     

Synthesis and characterization of side-bound aryldiazo and end-bound nitrosyl complexes of nickel

Structural characterization of a nickel aryldiazo complex supported by the bulky 1,2-bis(di-tert-butylphosphino)ethane ligand reveals square-planar Ni geometry and an unusual side-on coordination mode for the N2R moiety, while the related nitrosyl complex displays trigonal-planar geometry at Ni and end-on coordination of the NO ligand.     

Reactions of CO(2) and CS(2) with 1,2-bis(di-tert-butylphosphino)ethane complexes of nickel(0) and nickel(I)

Reaction of CS(2) with [(dtbpe)Ni](2)(η(2),μ-C(6)H(6)) (1; dtbpe =1,2-bis(di-tert-butylphosphino)ethane) in toluene gives the carbon disulfide complex (dtbpe)Ni(η(2)-CS(2)) (2), characterized by standard spectroscopic methods and X-ray crystallography. Reaction of CS(2) with the Ni(I) complex (dtbpe)Ni(OSO(2)CF(3)) gives the diamagnetic, trimetallic cluster [{(dtbpe)Ni(κ(1),η(2)-CS(2))}(2)(dtbpe)Ni][SO(3)CF(3)](2) (3-OTf). The solid-state structure of 3-OTf reveals that the two CS(2) ligands bind η(2) to two (dtbpe)Ni centers and κ(1) to the third, unique (dtbpe)Ni in the complex dication, and NMR spectroscopic data indicate that this structure is maintained in solution. Oxidation of 2 by ferrocenium hexafluorophosphate affords the identical trimetallic complex dication as the PF(6)(-) salt, [{(dtbpe)Ni(κ(1),η(2)-CS(2))}(2)(dtbpe)Ni][PF(6)](2) (3-PF(6)). These results are consistent with the intermediacy of a Ni(I)-CS(2) complex, [(dtbpe)Ni(CS(2))(+)], that is unstable with respect to disproportionation. Reaction of 1 with one equivalent of CO(2) provides the carbon dioxide adduct (dtbpe)Ni(η(2)-CO(2)) (4), that was also crystallographically characterized. Thermolysis of 4 in benzene solution at 80 °C results in reduction of the CO(2) ligand to CO, trapped as (dtbpe)Ni(CO)(2), and partial oxidation of a dtbpe ligand to give O═P(tert-Bu)(2)CH(2)CH(2)P(tert-Bu)(2).