Automatic processing of gaze movements to quantify gaze scanning behaviors in a driving simulator.

Eye and head movements are used to scan the environment when driving. In particular, when approaching an intersection, large gaze scans to the left and right, comprising head and multiple eye movements, are made. We detail an algorithm called the gaze scan algorithm that automatically quantifies the magnitude, duration, and composition of such large lateral gaze scans. The algorithm works by first detecting lateral saccades, then merging these lateral saccades into gaze scans, with the start and end points of each gaze scan marked in time and eccentricity. We evaluated the algorithm by comparing gaze scans generated by the algorithm to manually marked "consensus ground truth" gaze scans taken from gaze data collected in a high-fidelity driving simulator. We found that the gaze scan algorithm successfully marked 96% of gaze scans and produced magnitudes and durations close to ground truth. Furthermore, the differences between the algorithm and ground truth were similar to the differences found between expert coders. Therefore, the algorithm may be used in lieu of manual marking of gaze data, significantly accelerating the time-consuming marking of gaze movement data in driving simulator studies. The algorithm also complements existing eye tracking and mobility research by quantifying the number, direction, magnitude, and timing of gaze scans and can be used to better understand how individuals scan their environment.

New pathways of stability for NHCs derived from azole, di-azole, n-tetrazole, and ab-tetrazole, by DFT.

We have investigated the pathways of stability for NHCs derived from azole, di-azole, n-tetrazole, and ab-tetrazole (1a, 2a, 3a, and 4a, respectively), at the M06/6-311++G** level of theory. Optimization and vibrational frequency calculations of ground states (GS) and transition states (TS) are performed to identify Gibbs free energies and nature of stationary points, respectively. Two possible pathways of stability for 1a-4a are compared and contrasted which entail dimerization through hydrogen bonding (HB) and covalent bonding (CB). The CB pathway comprises head to head (HH) and head to tail (HT) dimerizations. Plausible reaction profiles are illustrated for 1a-4a along with the mechanism of each dimerization. Structures 1a-3a show one possibility for HB while 4a represents two possibilities. Structures 1a and 4a display two HH dimers while 2a and 3a show one. Structures 1a-4a undergo HT dimerizations to yield three possible dimers which include trans, cis, and [2+3] isomers. Interestingly, for all 1a-4a, HB dimerization turns out as the most favorable stability pathway for showing no barrier of reaction. Structures 4b and 4c indicate the highest stability with respect to their initial 4a compared to remaining HB dimers 1b-3b. In addition, the 1,2-H shift appears as a possible rearrangement for 1a-4a to yield their corresponding tautomers (1i, 2h, 3h, and 4k, respectively). The reaction profile of this rearrangement indicates that 1a-4a favor HB dimerization pathway more than 1,2-H shift, in terms of kinetic and thermodynamic. Graphical Abstract.

Diastereoselective synthesis of N-(p-tosylsulfonyl)-2-phenylaziridine over a novel magnetically recyclable Cu(II) catalyst accompanied with the N-inversion assessment at DFT.

An experimental and theoretical study has been carried out on diastereoselective aziridation of styrene over a magnetically recyclable copper(II) catalyst: Cu(acac)2/NH2-T/SiO2@Fe3O4NPs. The turnover number (TON) of our heterogeneous catalyst appears considerably higher than that reported for the homogeneous Cu(acac)2. Successive applications of solid Cu(acac)2/NH2-T/SiO2@Fe3O4NPs have a slight effect on its catalytic activity. Between anticipated cis and trans diastereomeric products, formation of only one is suggested by NMR. Even though, the trans-invertomer appears thermodynamically more stable at B3LYP/AUG-cc-pVTZ//B3LYP/6-31+G+G* level, we propose formation of the kinetically more stable cis-invertomer due to π-stacking between the tosyl group and the phenyl of styrene. The possibility of cis-trans conversion is ruled out by the high energy barrier of > 76.9 kcal/mol probed in toluene, CCl4, C7H16, DMSO, CH3CN, and H2O.