We have measured crystalline electric field (CEF) excitations of ${\mathrm{Nd}}^{3+}$ ions in the two-channel Kondo lattice candidates $\mathrm{Nd}{\mathit{T}}_{2}{\mathrm{Zn}}_{20}$ $(T = \mathrm{Co}, \mathrm{Rh}, \text{and} \mathrm{Ir})$ by means inelastic neutron scattering (INS). In INS measurements at 5 K, dispersionless were observed 3.8 and 7.2 meV for $T=\mathrm{Co}$, 3.1 5.8 $T=\mathrm...

We have measured crystalline electric field (CEF) excitations of ${\mathrm{Nd}}^{3+}$ ions in the two-channel Kondo lattice candidates $\mathrm{Nd}{\mathit{T}}_{2}{\mathrm{Zn}}_{20}$ $(T = \mathrm{Co}, \mathrm{Rh}, \text{and} \mathrm{Ir})$ by means inelastic neutron scattering (INS). In INS measurements at 5 K, dispersionless were observed 3.8 and 7.2 meV for $T=\mathrm{Co}$, 3.1 5.8 $T=\mathrm...

We propose the first general multiplication algorithm in GF (2k) with a subquadratic area complexity of O(k8/5) = O(k1.6). We represent the elements of GF (2k) according to 2n pairwise prime trinomials, T1, . . . , T2n, of degree d, such that nd ≥ k. Our algorithm is based on Montgomery’s multiplication applied to the ring formed by the direct product of the n first trinomials.

We report improved stabilization results for and progress toward a more accurate frequency measurement of the 532 nm iodine-stabilized system based on a frequency-doubled Nd : YAG ring laser. We confirm the CCL-adopted frequency well within its stated uncertainty ( 40 kHz).

Let (R, m) be a local ring of Krull dimension d and I ⊆ R be an ideal with analytic spread d. We show that the j-multiplicity of I is determined by the Rees valuations of I centered on m. We also discuss a multiplicity that is the limsup of a sequence of lengths that grow at an O(nd) rate.

Rare-earth metal tris(borohydrides) [Ln(BH4)3(thf)3] (Ln = Y, La, Nd, Sm) are converted with one equivalent of the Brønsted acid [NEt3H]+[BPh4]- in thf into the monocationic bis(borohydride) complexes [Ln(BH4)2(thf)5]+[BPh4]-. They efficiently initiate the ring-opening polymerisation of epsilon-caprolactone.

Ad Ad Add dr dres ess s f fo for r C Co Corr rres espo po d nd nden ence ce: :