New Element Mendelevium, Atomic Number 101

Synthesis of a New Element with Atomic Number Z 1⁄4 117

Yu. Ts. Oganessian,* F. Sh. Abdullin, P. D. Bailey, D. E. Benker, M. E. Bennett, S. N. Dmitriev, J. G. Ezold, J. H. Hamilton, R.A. Henderson, M.G. Itkis, Yu. V. Lobanov, A.N. Mezentsev, K. J. Moody, S. L. Nelson, A.N. Polyakov, C. E. Porter, A. V. Ramayya, F. D. Riley, J. B. Roberto, M.A. Ryabinin, K. P. Rykaczewski, R. N. Sagaidak, D. A. Shaughnessy, I. V. Shirokovsky, M.A. Stoyer, V.G. Subbot...

Atomic species identification at the (101) anatase surface by simultaneous scanning tunnelling and atomic force microscopy

Anatase is a pivotal material in devices for energy-harvesting applications and catalysis. Methods for the accurate characterization of this reducible oxide at the atomic scale are critical in the exploration of outstanding properties for technological developments. Here we combine atomic force microscopy (AFM) and scanning tunnelling microscopy (STM), supported by first-principles calculations...

On the Number of Factorizations of an Element in an Atomic Monoid

Let S be a reduced commutative cancellative atomic monoid. If s is a nonzero element of S, then we explore problems related to the computation of η(s), which represents the number of distinct irreducible factorizations of s ∈ S. In particular, if S is a saturated submonoid of Nd , then we provide an algorithm for computing the positive integer r(s) for which 0 < lim n→∞ η(sn) nr(s)−1 <∞. We fur...

Calculation of atomic number states

We analyse the conditions for producing atomic number states in a one-dimensional optical box using the Bethe ansatz method. This approach provides a general framework, enabling the study of number state production over a wide range of realistic experimental parameters. (Some figures in this article are in colour only in the electronic version)

Number Theory and Atomic Densities