A series of pentacyanoferrate complexes, N a3[F e (C N )5L ] /jH20 , where L = (C H 3) 2N H , (C 2H 5) 2N H , (C 2H 5)3N , (C 3H 7)2N H , (C 4H 9)2N H , (C 4H 9)3N and (C 6H 5)2N H were studied by Mössbauer and infrared spectroscopy. A ll the complexes exhibited two line spectra with A E Q = 0.73—1.92 mms“1 and <5 = —0.04—0.49 m m s '1 (w.r.t. SNP) and can be divided into two groups with well d...

The group of local unitary transformations partitions the space of n-qubit quantum states into orbits, each of which is a differentiable manifold of some dimension. We prove that all orbits of the n-qubit quantum state space have dimension greater than or equal to 3n/2 for n even and greater than or equal to (3n+1)/2 for n odd. This lower bound on orbit dimension is sharp, since n-qubit states ...

In this paper, for the the primes p such that 3 is a divisor of p − 1, we prove a result which reduces the computation of the linear complexity of a sequence over GF (p)(any positive integer m) with the period 3n (n and p−1 are coprime) to the computation of the linear complexities of three sequences with the period n. Combined with some known algorithms such as generalized Games-Chan algorithm...

In this paper, let n = 2m and d = 3 − 2 with m ≥ 2 and gcd(d, 3n − 1) = 1. By studying the weight distribution of the ternary Zetterberg code and counting the numbers of solutions of some equations over the finite field F3n , the correlation distribution between a ternarym-sequence of period 3n−1 and its d-decimation sequence is completely determined. This is the first time that the correlation...

Let G = (V, E) be a graph. A subset S ⊆ V is a dominating set of G, if every vertex u ∈ V − S is dominated by some vertex v ∈ S. The domination number, denoted by γ(G), is the minimum cardinality of a dominating set. For the generalized Petersen graph G(n), Behzad et al. [A. Behzad, M. Behzad, C.E. Praeger, On the domination number of the generalized Petersen graphs, Discrete Mathematics 308 (2...

Intramolecular dimer radical anions of [3n]cyclophanes generated by gamma-ray irradiation in low-temperature glassy matrices showed an absorption band attributable to charge resonance around 936-1210 nm, from which the stabilization energy of the dimer radical anions were analyzed on the basis of pi-electron delocalization over two benzene rings and the damping factor (beta) was estimated to be...

Results on three-nucleon (3N) elastic scattering below the pion production threshold are discussed with emphasis on the need for a three-nucleon force (3NF). The large discrepancies found between a theory based on numerical solutions of 3N Faddeev equations with (semi)phenomenological NN potentials only and data point to the need for 3NF’s. This is further supported since another possible reaso...

Coulomb and charge-symmetry breaking effects in the He ground state within the dressed dibaryon model developed recently for 2N and 3N forces are examined in detail. Particular attention has been paid to the Coulomb displacement energy ∆EC = EB( H) − EB(He) and rms charge radii of H and He. A new scalar 3N force between the third nucleon and dibaryon is found to be very important for a correct ...

We study brane configurations corresponding to D-branes on complex threedimensional orbifolds C/Γ with Γ = ∆(3n) and ∆(6n), nonabelian finite subgroups of SU(3). The brane configurations consist of D3-branes on webs of (p, q) 5-branes of type IIB string theory. The structure of irreducible representations of the groups ∆(3n) and ∆(6n) can be explained from the brane configurations. We also disc...

In this paper we study products and sums divisible by central binomial coefficients. We show that 2(2n+ 1) ( 2n n ) ∣∣∣∣ (6n 3n )( 3n n ) for all n = 1, 2, 3, . . . . Also, for any nonnegative integers k and n we have ( 2k k ) ∣∣∣∣ (4n+ 2k + 2 2n+ k + 1 )( 2n+ k + 1 2k )( 2n− k + 1 n ) and ( 2k k ) ∣∣∣∣ (2n+ 1)(2n n ) Cn+k ( n+ k + 1 2k ) , where Cm denotes the Catalan number 1 m+1 ( 2m m ) = (...