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AN ALTERNATIVE q-ANALOGUE OF THE RUCINSKI-VOIGT NUMBERS
Bent-Usman, Wardah M.,Dibagulun, Amerah M.,Mangontarum, Mahid M.,Montero, Charles B. Korean Mathematical Society 2018 대한수학회논문집 Vol.33 No.4
In this paper, we define an alternative q-analogue of the $Ruci{\acute{n}}ski$-Voigt numbers. We obtain fundamental combinatorial properties such as recurrence relations, generating functions and explicit formulas which are shown to be q-deformations of similar properties for the $Ruci{\acute{n}}ski$-Voigt numbers, and are generalizations of the results obtained by other authors. A combinatorial interpretation in the context of A-tableaux is also given where convolution-type identities are consequently obtained. Lastly, we establish the matrix decompositions of the $Ruci{\acute{n}}ski$-Voigt and the q-$Ruci{\acute{n}}ski$-Voigt numbers.
Autocatalytic Dissociative Adsorption of Imidazole on the Ge(100)-2 × 1 Surface
Shong, Bonggeun,Kachian, Jessica,Bent, Stacey F. American Chemical Society 2017 The Journal of Physical Chemistry Part C Vol.121 No.38
<P>The adsorption of imidazole on the Ge(100)-2 X 1 surface is studied with ultrahigh vacuum infrared spectroscopy experiments and density functional theory calculations. Imidazole datively bonds to the surface through its pyridinic nitrogen at low coverage, while dissociation of the pyrrolic N-H is observed upon larger exposure. The coverage-dependent change in the product distribution-is explained by autocatalytic activation of the dissociative adsorption via interaction between adjacent imidazole adsorbates. These results suggest an alternative explanation for the previously studied adsorption chemistry of bifunctional ethylenediamine on Ge(100)-2 X 1.</P>