It has been previously proposed that pyridines can activate PhICl2 by displacing a chloride and forming the [PhI(Pyr)(Cl)]+ cation as a reactive intermediate. Here we show that pyridine does not...
Metalation of (S)-N-(α-methylbenzyl)methallylamine
with nBuM (M = Li, Na, or K) in hexane leads to the
allylic metal amides [(S)-PhCH(CH3)N(CH2C{CH3}CHLi)Li]6, 1, [(S)-PhCH(CH3)N(CH2C{CH3}CH2)Na]
n
, and [(S)-PhCH(CH3)N(CH2C{CH3}CH2)K]
n
, respectively. The addition of any Lewis base (here THF, TMEDA,
or PMDETA) to the Na and K amides promotes rapid anion rearrangement
to the aza-enolate complexes [PhC(CH2)N(CH2CH{CH3}2)Na]∞, 2, [PhC(CH2)N(CH2CH{CH3}2)Na·TMEDA]
n
, 3, [PhC(CH2)N(CH2CH{CH3}2)Na·PMDETA]
n
, 4, and [PhC(CH2)N(CH2CH{CH3}2)K]
n
, 5, resulting in loss of chirality.
In contrast, the addition of benzene leads exclusively to the 1-aza-allyl
complexes [(S)-PhCH(CH3)N(CHC{CH3}2)Na]
n
, 6, and [(S)-PhCH(CH3)N(CHC{CH3}2)K]
n
, 7, both of which are not observed in the presence of Lewis donors.
Doping a benzene solution of 7 with THF gives the first
observation of reorganization to the intermediate 2-aza-allyl anion.
All seven complexes have been characterized by NMR spectroscopy, with
complexes 1 and 2 also being characterized
by single-crystal X-ray diffraction. Rearrangement to the aza-enolates 2 and 3 is unprecedented under the conditions
employed.
PurposeThis work aimed to improve breast screening program accuracy using automated classification. The goal was to determine if whole image features represented in the discrete cosine transform would provide a basis for classification. Priority was placed on avoiding false negative findings.MethodsOnline datasets were used for this work. No informed consent was required. Programs were developed in Mathematica and, where necessary to improve computational performance ported to C++. The use of a discrete cosine transform to separate normal from cancerous breast tissue was tested. Features (moments of the mean) were calculated in square sections of the transform centered on the origin. K-nearest neighbor and naive Bayesian classifiers were tested.ResultsForty-one features were generated and tested singly, and in combination of two or three. Using a k-nearest neighbor classifier, sensitivities as high as 98% with a specificity of 66% were achieved. With a naive Bayesian classifier, sensitivities as high as 100% were achieved with a specificity of 64%.ConclusionWhole image classification based on discrete cosine transform (DCT) features was effectively implemented with a high level of sensitivity and specificity achieved. The high sensitivity attained using the DCT generated feature set implied that these classifiers could be used in series with other methods to increase specificity. Using a classifier with near 100% sensitivity, such as the one developed in this project, before applying a second classifier could only boost the accuracy of that classifier.
Recent studies of alkali metal N-(α-methylbenzyl)allylamides containing lithium, sodium, and potassium have shown unique rearrangements in NMR experiments. It was found that lithium isomers favored the formation of aza-allyl and aza-enolate complexes that could exist in a solution for a substantial amount of time. As the radius of the metal ion increases going from lithium to potassium, so does the preference for the formation of the imine structure. For sodium, the aza-allyl complex could still be isolated, whereas the imine structure was only found to be stable on the scale of several hours for potassium. In this work, ab initio calculations were used to shed light on this phenomenon. Decomposition of intermolecular interaction energies of the aza-allyl, aza-enolate, and imine complexes showed that for lithium, the formation of aza-allyl and aza-enolate complexes was driven by electrostatic interactions. For potassium, the dispersion component of the metal interaction with the ligand proved to be more important for the stability of the imine structure. The presence of the imine formation in potassium and partially in sodium was found to be due to the reduced electrostatic nature of these larger metals. The assignment of the experimental NMR spectra was further confirmed with the natural bond order (NBO) analysis as well as the partial charge calculations. Analysis of orbital energies, specifically those of the highest occupied molecular orbitals (HOMOs), as well as the deformation energies of each of the ligands, were also considered. Through these procedures, an understanding of the tendency for each metal to have a unique isomerization pathway was gained.
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