The FeCl3·6H2O-catalyzed three-component aza-Friedel-Crafts reaction of aromatic/heteroaromatic compounds, aromatic aldehydes and tert-butyl carbamate was reported. The subsequent Friedel-Crafts-type alkylation of the resulting tert-butyl diarylmethyl carbamate with heteroaromatic compounds under "open-flask" at room temperature was also performed. The two-step reaction was especially useful fo...

The n-electron ground state of the Friedel resonance model can be written as a single Slater determinant of n s-electrons plus one d-electron-s-hole companion. This new formula is derived geometrically in the Hilbert space. The derivation uses the fact that a n-electron Slater determinant, built from N band states, corresponds to a n-dimensional subspace in the N-dimensional Hilbert space. PACS...

Aryl-keto-containing α-amino acids are of great importance in organic chemistry and biochemistry. They are valuable intermediates for the construction of hydroxyl α-amino acids, nonproteinogenic α-amino acids, as well as other biofunctional components. Friedel-Crafts acylation is an effective method to prepare aryl-keto derivatives. In this review, we summarize the preparation of aryl-keto cont...

The characteristics of Friedel pairs in diffraction contrast tomography (DCT) are studied in the condition that the rotation axis of the sample is not exactly perpendicular to the incident X-ray direction. For the rotation axis approximately aligned along the vertical direction, the Friedel pairs close to the horizontal plane are insensitive to the non-perpendicularity of the rotation axis, and...

A previous analysis of the average intensity and mean-square intensity difference of Friedel opposites, confined to the space group P1 [Flack & Shmueli (2007). Acta Cryst. A63, 257-265], is here extended to all the non-centrosymmetric space groups. The present analysis presumes purely non-centrosymmetric content of the unit cell. An important result of this study is that the average intensity a...

The treatment of 2-(2-vinylphenyl)acetaldehydes or 3-(2-vinylphenyl)propanals with BF 3 ·Et 2 O results in an intramolecular Prins reaction affording intermediary benzyl carbenium ions, which are then trapped by a variety electron-rich aromatics via Friedel–Crafts alkylation. This cascade Prins/Friedel–Crafts cyclization protocol paves expedient path to medicinally useful 4-aryltetralin-2-ol an...

It is numerically shown that the groundstate ofthe Friedel problem (consisting of a conduction band and a d­ resonance), occupied with (n+ I) electrons, can be written as If/ = (Aoo+Bd*) rr=1 o~Po, where ail represents a localized conduction electron state, d* is the Friedel resonance state and TI~=1 a7,po is a Slater determinant of n single electron states it7, (po is the vacuum state). The 07...

Friedel–Crafts synthesis of triarylmethanes over 3-methyl-1-sulfonic acid imidazolium tetrachloroaluminate under green conditions:In this work, Friedel–Crafts (FC) alkylation of various arenes with aromatic aldehydes catalyzed by 3-methyl-1-sulfonic acid imidazoliumtetrachloroaluminate {[Msim]AlCl4}, as a green catalyst, to prepare triarylmethanes (TAMs) has been carried out. Some aromatic alde...

Exact Friedel oscillations in the g = 1 2 Luttinger liquid. Abstract: A single impurity in the 1D Luttinger model creates a local modiication of the charge density analogous to the Friedel oscillations. In this paper, we present an exact solution of the case g = 1 2 (the equivalent of the Toulouse point) at any temperature T and impurity coupling, expressing the charge density in terms of a hyp...