The mechanism of the thermal cyclization of enyne-carbodiimides 7a-c has been studied computationally by applying the DFT method. The results indicate that enyne-carbodiimides preferentially follow the C(2)-C(6) (Schmittel) cyclization pathway in a concerted fashion although the Myers-Saito diradical formation is kinetically preferred. The experimentally verified preference of the C(2)-C(6) ove...

Needs for quantitative optical measurements are expanding in various applications where measurement conditions are very different. For precise measurements, uncertainties caused by difference in measurement conditions should be taken into consideration. Measurement conditions for the use of photodiodes include what kind of source is used like whether it is monochromatic or continuum spectrum, c...

Let π1 be a cuspidal Saito-Kurokawa representation of SO(3,2) and π2 a cuspidal or trivial representation of SO(3,1) or SO(2,2). We present period formulas that show how π1 restricts to π2.