On designated-weight Boolean functions with highest algebraic immunity

Algebraic immunity has been considered as one of cryptographically significant properties for Boolean functions. In this paper, we study ∑d-1 i=0 (ni)-weight Boolean functions with algebraic immunity achiev-ing the minimum of d and n - d + 1, which is highest for the functions. We present a simpler sufficient and necessary condition for these functions to achieve highest algebraic immunity. In addition, we prove that their algebraic degrees are not less than the maximum of d and n - d + 1, and for d = n1 +2 their nonlinearities equalthe minimum of ∑d-1 i=0 (ni) and ∑ d-1 i=0 (ni). Lastly, we identify two classes of such functions, one having algebraic degree of n or n-1.     

IONIZATION POTENTIAL OF THE LITHIUMLIKE GROUND STATES FROM Z=21 to 30

ＴＨＥＯＲＥＴＩＣＡＬＣＡＬＣＵＬＡＴＩＯＮＯＦＡＴＯＭＩＣＡＮＤＭＯＬＥＣＵＬＡＲＤＡＴＡＰｅｉＣｈｕｎｃｈｕａｎＰｕｒｐｌｅＭｏｕｎｔａｉｎＯｂｓｅｒｖａｔｏｒｙＡｃａｄｅｍｉａＳｉｎｉｃａＮａｎｊｉｎｇ２１０００８ＡＢＳＴＲＡＣＴＢｙｕｓｉｎ...     

TWO PHOTONS EXCITED 4d RYDBERG STATE OF AsH3

In this paper, by using resonance enhanced (2+1) multiphoton ionization (REMPI) of AsH₃ and detecting the daughter molecular ions AsH⁺ and As⁺, a long progression discrete structure was obtained from 267 to 291 nm, which obeys the formula ν₀(cm^-1)=68875.3+504.1v′₂+5.26v′²₂. Analysis of the spectrum has revealed that it belongs to 4d Rydberg state transition. Our assignment yields the 4d Rydberg state parameters T_e′=67881.1 cm^-1, ω_e′=495.1 cm^-1 and δ=0.962. Finally the 4d Rydberg state structure of AsH₃ was discussed.     

Porous polymer films and honeycomb structures based on amphiphilic dendronized block copolymers

Fabrication of honeycomb patterned films from our synthesized amphiphilic dendronized block copolymer by "on-solid surface spreading" method and "on-water spreading" method was reported for the first time in this paper. The comparison of the two methods indicated honeycomb-patterned films with smaller size, and larger surface density of micropores can be fabricated by spreading on water but with lower regular arrangement. Furthermore, several influencing factors on the formation of the honeycomb structure and the different morphologies, such as the concentration of the copolymer solution and the relative humidity in the atmosphere and the substrates, were investigated. The results showed that comparably high relative humidity from 80% to 95% was needed, and the mica plate as a spreading substrate was suitable to form orderly porous films for such a copolymer. The best ordered pattern could be formed from the copolymer with concentration of 1.00 mg/mL at the relative humidity of 85% using a mica plate. Besides, strong periodicity, regularity, and a large, defect-free area were notable, which made this structure extremely interesting for applications for templated molecular objects formed via intramolecular metal or metal oxide synthesis.     

Thin film organic transistors from air-stable heteroarenes: anthra[1,2-b:4,3-b':5,6-b':8,7-b']tetrathiophene derivatives

A facile synthesis of air-stable anthra[1,2-b:4,3-b':5,6-b':8,7-b']tetrathiophene derivatives 1a and 1b has been developed for applications in organic thin film transistors. Both molecules tend to self-associate through pi-pi stacking in solution and in different films. The hole mobility of 0.012 cm2 V(-1) s(-1) is obtained from 1a due to morphology changes in films from less ordered to highly ordered structures after thermal annealing. Good performance remained persistent over a period of 14 days, indicating the high stability of such transistors.     

Vibronic coupling and excited‐state reaction dynamics of pyrazine in 1 1B2u (1ππ*) state by resonance Raman spectroscopy and CASSCF calculation

The photophysics and photochemistry of pyrazine (C₄H₄N₂, D_2h) after excitation to the S₂ (1 ¹B_2u, ¹ππ*) electronic state were studied by using the resonance Raman spectroscopy and complete active space self‐consistent field method calculations. The B‐band resonance Raman spectra in cyclohexane solvent were obtained at 266.0, 252.7, and 245.9 nm excitation wavelengths to probe the structural dynamics of pyrazine in the S₂ (1 ¹B_2u, ¹ππ*) state. Three electronic states 1 ¹B_3u, 1 ¹B_1g, and 1 ¹B_2g were found to couple with the S₂ (1 ¹B_2u, ¹ππ*) state. Two conical intersection (CI) points CI[S₂(B_2u)/S₁(B_3u)] and CI[S₁/S₀] and one transition state of the isomerization between pyrazine and pyrimidine were predicted to play important roles in the photochemistry of pyrazine. On the basis of the calculations, the mechanism of the photoisomerization reaction between pyrazine and pyrimidine has been proposed. Copyright © 2012 John Wiley & Sons, Ltd.     

Organocatalytic asymmetric tandem Michael-Henry reactions: a highly stereoselective synthesis of multifunctionalized cyclohexanes with two quaternary stereocenters

A novel organocatalytic asymmetric tandem Michael-Henry reaction catalyzed by 9-amino-9-deoxyepiquinine (VI) has been developed. The reaction was efficiently catalyzed by catalyst VI to give highly functionalized cyclohexanes with four stereogenic carbons including two quaternary stereocenters in excellent enantioselectivities (97 to >99% ee) and high diastereoselectivities (93:7-99:1 dr). Thus, the first organocatalytic asymmetric Henry reaction of common ketones as acceptors is shown.     

Fluorescence resonance energy transfer in conjugated polymer composites for radiation detection

Fluorescence resonance energy transfer in conjugated polymer composite materials was exploited for the detection of gamma ray dosage with high sensitivity and response linearity.     

Phototransformation mechanism of monuron induced by the triplet benzophenone in aqueous solution

Phototransformation mechanism of monuron induced by the triplet benzophenone in aqueous solution was investigated by laser flash photolysis technique, while quenching of the triplet benzophenone by monuron was studied by nanosecond transient absorption spectroscopy. The transient species in the transient absorption spectra have been identified by quantum chemistry calculations. The results show that under 355‐nm irradiation proton transfer between the triplet benzophenone and monuron happens, and monuron radical is formed and followed by dechlorination degradation reactions. This work indicated that in aqueous solution some dissolved natural organic matters are helpful to degradation of the organic pollutants under the sunlight. Copyright © 2015 John Wiley & Sons, Ltd.