The quantum sieving effect of H2/D2 at 77 K on commercially available carbon molecular sieves (1.5GN-H and 3KT-172) was studied. An exceptional reverse kinetic quantum effect is observed on 1.5GN-H where D2 diffuses much faster than H2 with a ratio of up to 5.83 at low pressure, and the difference is still very evident even as the pressure increases up to 1 bar. D2 also diffuses faster than H2 ...

We show cyclic sieving phenomena on annular noncrossing permutations with given cycle types. We define annular q-Kreweras numbers, annular q-Narayana numbers, and annular q-Catalan numbers, and show that a sum of annular q-Kreweras numbers becomes an annular q-Narayana number and a sum of annular q-Narayana numbers becomes an annular q-Catalan number. We also show that these polynomials are clo...

The cyclic sieving phenomenon was defined by Reiner, Stanton, and White in a 2004 paper. Let X be a finite set, C be a finite cyclic group acting on X , and f(q) be a polynomial in q with nonnegative integer coefficients. Then the triple (X,C, f(q)) exhibits the cyclic sieving phenomenon if, for all g ∈ C, we have #X = f(ω) where # denotes cardinality, X is the fixed point set of g, and ω is a ...

Prompted by a question of Jim Propp, this paper examines the cyclic sieving phenomenon (CSP) in certain codes. For example, it is shown that, among dual Hamming codes over Fq, generating function for codedwords according to major index statistic (resp. inversion statistic) gives rise CSP when q=2 or q=3 q=2). A byproduct curious characterization irreducible polynomials F2[x] and F3[x] that are ...

Let Pn denote the poset of matchings on 2n points on a circle, labeled 1, 2, . . . , 2n in cyclic order, in which we define an element to be less than another element if it can be obtained by an uncrossing. Let Pn,k denote the level of the poset with k crossings. Let Pn,k denote the level of the poset with k crossings. We study the cyclic sieving phenomenon of Pn,k. It is known that the triple ...

A compact mesh architecture for supporting the relation collection step of the number field sieve is described. Differing from TWIRL, only isolated chips without inter-chip communication are used. According to a preliminary analysis for 768-bit numbers, with a 0.13 μm process one mesh-based device fits on a single chip of ≈(4.9 cm)—the largest proposed chips in the TWIRL cluster for 768-bit occ...

We describe a hardware device for supporting the sieving step in integer factoring algorithms like the quadratic sieve or the number field sieve. In analogy to Bernstein’s proposal for speeding up the linear algebra step, we rely on a mesh of very simple processing units. Manufacturing the device at moderate cost with current hardware technology on standard wafers with 200 mm or 300 mm diameter...

Molecular sieving MFI-type zeolite membranes were prepared by a secondary growth method without using an organic template. Silicalite membranes with intercrystalline pores minimized or eliminated were obtained by this synthesis method which avoids the template removal step. The silicalite membrane exhibits molecular sieving characteristics with pervaporation separation factor for p-xylene to o-...