Transient electronic and vibrational absorption spectroscopy unravel the mechanisms and dynamics of bimolecular reactions of CN radicals with acetone in deuterated chloroform solutions. The CN radicals are produced by ultrafast ultraviolet photolysis of dissolved ICN. Two reactive forms of CN radicals are distinguished by their electronic absorption bands: "free" (uncomplexed) CN radicals, and ...

Zn(CN)2 and Ni(CN)2 are known for exhibiting anomalous thermal expansion over a wide temperature range. The volume thermal expansion coefficient for the cubic, three dimensionally connected material, Zn(CN)2, is negative (αV = -51 × 10 -6 K) while for Ni(CN)2, a tetragonal material, the thermal expansion coefficient is negative in the two dimensionally connected sheets (αa=-7 × 10 -6 K), but th...

Let (Cn)n≥0 be the Lucas sequence Cn+2 = aCn+1 +bCn for all n ≥ 0, where C0 = 0 and C1 = 1. For 1 ≤ k ≤ m− 1 let [ m k ] C = CmCm−1 · · ·Cm−k+1 C1 · · ·Ck be the corresponding C-nomial coefficient. When Cn = Fn is the Fibonacci sequence (the numbers [ m k ] F are called Fibonomials), or Cn = (qn − 1)/(q − 1), where q > 1 is an integer (the numbers [ m k ] q are called q-binomial, or Gaussian co...

Some limit properties for information based model selection criteria are given in the context of unit root evaluation and various assumptions about initial conditions. Allowing for a nonparametric short memory component, standard information criteria are shown to be weakly consistent for a unit root provided the penalty coefficient Cn ! 1 and Cn/n ! 0 as n ! 1. Strong consistency holds when Cn/...

Theorem 1.1. Let R be a commutative ring and n be a positive integer. For any A ∈ Mn(R), write its characteristic polynomial as det(TIn −A) = T + c1(A)T + · · ·+ cn−1(A)T + cn(A) ∈ R[T ]. Then ck(A) = (−1)k Tr(∧k(A)). Note the indexing: the coefficient of Tn−k is associated to the kth exterior power of A. In the special cases k = 1 and k = n this recovers the more familiar result that c1(A) = −...

Low-temperature rate coefficients are measured for the CN + benzene and CN + toluene reactions using the pulsed Laval nozzle expansion technique coupled with laser-induced fluorescence detection. The CN + benzene reaction rate coefficient at 105, 165, and 295 K is found to be relatively constant over this temperature range, (3.9-4.9) x 10(-10) cm(3) molecule(-1) s(-1). These rapid kinetics, alo...

Leukoaraiosis (LA) describes diffuse white matter abnormalities apparent in computed tomography (CT) or magnetic resonance (MR) brain scans. Patients with LA generally show varying degrees of cognitive impairment, which can be classified as cognitively normal (CN), mild cognitive impairment (MCI), and dementia. However, a consistent relationship between the degree of LA and the level of cogniti...

The elastic anisotropy and thermodynamic properties of the recently synthesized Pnnm-CN have been investigated using first-principles calculations under high temperature and high pressure. The calculated equilibrium crystal parameters and normalized volume dependence of the resulting pressure agree with available experimental and theoretical results. Within the considered pressure range of 0-90...