The harmonic measure and a Reuter-type result for a process with Bessel components

Let $B_{p\text{,}q}$ be the $R^2$-valued process $(B_p\text{,}{B}_q)$ with independent Bessel components $B_p$ and $B_q$ with indices p and q strictly positive. In this paper we compute explicitly the law of the hitting time and place of a circle, centered at the origin, when $B_{p\text{,}q}$ starts from the center and deduce a Reuter-type independence result. We use mainly analytical tools from PDE theory. To cite this article: A. Ziadi, A. Bencherif-Madani, C. R. Acad. Sci. Paris, Ser. I 340 (2005).     

Synthesis and Crystal Structure of a Heteronuclear Fe–Ru Silyl Complex*

The reaction of the iron metalate [Fe{Si(OMe)₃}(CO)₃(dppm-P)]⁻ (1b) with [Ru(CO)₃Cl(μ-Cl)]₂ afforded the heterodinuclear complex [(OC)₃{(MeO)₃Si}Fe(μ-dppm)Ru(CO)₃Cl)] (Fe–Ru) (3) in which a long Fe–Ru separation of 2.956(1) ? has been crystallographically evidenced. It was shown by density functional theory (DFT) calculations to correspond to the minimum-energy structure. Upon treatment of the corresponding hydrido complex [HFe{Si(OMe)₃}(CO)₃(dppm-P)] (1a) with [Ru(CO)₃Cl(μ-Cl)]₂, the chloride-bridged tetranuclear hydrido complex [(OC)₃{(MeO)₃Si}Fe(H)(μ-dppm)Ru(CO)₂Cl(μ-Cl)]₂ (4) was formed in which the Fe and Ru centers are only linked via bridging dppm ligands. Electronic supplementary material  The online version of this article (doi:) contains supplementary material, which is available to authorized users.

Investigations on a novel silyl transfer reaction in heterodimetallic chemistry

Heterodinuclear silyl complexes of the type [(OC)3(R3Si)[Fe(mu-PPh2)Pt](CO)(PPh3)], which contain a [Fe(mu-P)Pt] triangular core, were previously reported to undergo an unprecedented dyotropic-type rearrangement involving migration of the silyl group from iron to platinum with concomitant 1,2 migration of CO from Pt to Fe. In the resulting complexes of formula [(OC)4[Fe(mu-PPh2)Pt](SiR3)(PPh3)], the Si atom occupies a cis position at the planar Pt center with respect to the phosphido bridge. DFT calculations were employed to elucidate the mechanism of this intramolecular silyl migration reaction. When the Fe-Pt precursor complex is [(OC)3(R3Si)[Fe(mu-PPh2)Pt](PPh3)2], the reaction sequence involves (i) the substitution of PPh3 by CO at Pt, (ii) the concerted migration of CO and SiR3, and (iii) the cis-trans isomerization at Pt. The calculations support the exergonic character of the overall process. An explanation for the experimental observation of only one product isomer being formed is possible via frontier molecular orbital analysis. Consistent with the experimental findings, the transition states of the migration (a species with a triply bridged intermetallic bond) and isomerization steps were found to be energetically within reach at room temperature. Additional support for the suggested mechanism also comes from the fact that relative silyl migration activities could be rationalized by the means of quantum chemistry.     

CNN Pincer Ruthenium Catalysts for Hydrogenation and Transfer Hydrogenation of Ketones: Experimental and Computational Studies

Reaction of [RuCl(CNN)(dppb)] ( 1‐Cl ) (HCNN=2‐aminomethyl‐6‐(4‐methylphenyl)pyridine; dppb=Ph₂P(CH₂)₄PPh₂) with NaOCH₂CF₃ leads to the amine‐alkoxide [Ru(CNN)(OCH₂CF₃)(dppb)] ( 1‐OCH₂CF₃ ), whose neutron diffraction study reveals a short RuO ??? HN bond length. Treatment of 1‐Cl with NaOEt and EtOH affords the alkoxide [Ru(CNN)(OEt)(dppb)] ? (EtOH)_n ( 1‐OEt?n EtOH ), which equilibrates with the hydride [RuH(CNN)(dppb)] ( 1‐H ) and acetaldehyde. Compound 1‐OEt?n EtOH reacts reversibly with H₂ leading to 1‐H and EtOH through dihydrogen splitting. NMR spectroscopic studies on 1‐OEt?n EtOH and 1‐H reveal hydrogen bond interactions and exchange processes. The chloride 1‐Cl catalyzes the hydrogenation (5 atm of H₂) of ketones to alcohols (turnover frequency (TOF) up to 6.5×10⁴ h^?1, 40 °C). DFT calculations were performed on the reaction of [RuH(CNN′)(dmpb)] ( 2‐H ) (HCNN′=2‐aminomethyl‐6‐(phenyl)pyridine; dmpb=Me₂P(CH₂)₄PMe₂) with acetone and with one molecule of 2‐propanol, in alcohol, with the alkoxide complex being the most stable species. In the first step, the Ru‐hydride transfers one hydrogen atom to the carbon of the ketone, whereas the second hydrogen transfer from NH₂ is mediated by the alcohol and leads to the key “amide” intermediate. Regeneration of the hydride complex may occur by reaction with 2‐propanol or with H₂; both pathways have low barriers and are alcohol assisted.     

Total Synthesis of Δ12‐Prostaglandin J3, a Highly Potent and Selective Antileukemic Agent

A catalytic asymmetric total synthesis of the potent and selective antileukemic Δ¹²‐prostaglandin J₃ (Δ¹²‐PGJ₃) is described. The convergent synthesis proceeded through intermediates 2 and 3 , formed enantioselectively from readily available starting materials and coupled through an aldol reaction followed by dehydration to afford stereoselectively the cyclopentenone alkylidene structural motif of the molecule.     

Concomitant morpholine ring contraction and pyridine lithiation in 4-morpholinopyridine: straightforward access to N-pyridyl oxazolidines

The reaction of 4-morpholinopyridine with TMSCH₂Li induced an unprecedented anionic ring contraction of the morpholine ring in an exo-trig mode while lithiating the pyridine ring regioselectively at C-3. The one-pot process offers a straightforward route to functional oxazolidinyl pyridines.     

Intra- and inter-molecular phosphoryl migration in phosphinothiazolines; precursors to polynuclear complexes and bimetallic coordination polymers

Two tautomers of the new phosphinoaminothiazoline Ph2PNHC=NCH2CH2S, obtained from the reaction of 2-amino-2-thiazoline (ATHZ) with Ph(2)PCl, have been structurally characterized and the intermediate formation of the diphosphine Ph2PN=CN(PPh2)CH2CH2S has been demonstrated experimentally and by DFT calculations; reacts with [AuCl(THT)] to give [(AuCl)2] whereas the bidentate metalloligand cis-[Pt(1(-H))2] reacts with AgOTf to form the Ag-Pt coordination polymer [Ag(infinity)[Pt(1(-H))2](infinity)](OTf)(infinity).     

First C-3 lithiation of DMAP: a new entry into chemical tuning of acylation catalysts

A TMSCH2Li-based reagent promoted the first C-3 lithiation of DMAP opening a direct access to functional diversity in acylation catalysts.     

TMSCH2Li-induced regioselective lithiation of (S)-nicotine

The first regioselective C-4 lithiation of (S)-nicotine has been realized using TMSCH2Li as basic reagent in toluene. The reaction proceeded under mild conditions with a small excess of electrophile. The 4-chloro derivative was subsequently metallated at C-5 with the same basic reagent in THF at -78 degrees C. This methodology opens a straightforward access to functional diversity in (S)-nicotine chemistry.