Projectile breakup and total reaction strengths in Li-induced reactions

Spectra and angular distributions have been measured for the light particles emitted from the reactions induced by 36 MeV ⁶Li and ⁷Li ions on targets of ¹²C, ¹³C and ²⁷Al. Some measurements were also performed at beam energies of 28 and 32 MeV. The spectra are dominated by broad peaks centered at energies corresponding to the beam velocity, a characteristic of projectile breakup. A simple breakup model roughly reproduces the shapes of the measured spectra and angular distributions. The total cross sections observed for projectile breakup average about 600 mb and are almost as large as the fusion cross sections. The ⁷Li breakup yields are somewhat larger than those for ⁶Li, the same trend that was previously observed for the Li-induced fusion cross sections on C. As a result the measured total reaction cross sections induced by ⁷Li ions are about 200 mb larger than those of ⁶Li on the same targets. This difference is not predicted by conventional optical model calculations.     

Mechanism of a redox coupling of seleninic acid with thiol

Equimolar quantities of 2-ethoxyethaneseleninic acid and p-thiocresol react rapidly in dichloromethane solution to give the selenosulfide along with disulfide, diselenide, and two products oxidized at sulfur, the thiosulfonate and the selenosulfonate. The latter two are new for this sort of coupling; their formation may be the result of an early thioseleninate to selenosulfinate isomerization. A radical chain mechanism is proposed to account for all five products, as well as their relative amounts.     

Design, synthesis, and photochemical validation of peptide linchpins containing the S,S-tetrazine phototrigger

The design, solid-phase synthesis, and photochemical validation of diverse peptide linchpins, containing the S,S-tetrazine phototrigger, have been achieved. Steady state irradiation or femtosecond laser pulses confirm their rapid photofragmentation. Attachment of peptides to the C- and N-termini will provide access to diverse constrained peptide constructs that hold the promise of providing information about early peptide/protein conformational dynamics upon photochemical release.     

Two theorems on Euclidean distance matrices and Gale transform

We present a characterization of those Euclidean distance matrices (EDMs) D which can be expressed as D=λ(E−C) for some nonnegative scalar λ and some correlation matrix C, where E is the matrix of all ones. This shows that the cones

where is the elliptope (set of correlation matrices) and is the (closed convex) cone of EDMs.

The characterization is given using the Gale transform of the points generating D. We also show that given points , for any scalars λ₁,λ₂,…,λ_n such that

∑_j=1ⁿλ_jp^j=0, ∑_j=1ⁿλ_j=0,

we have

∑_j=1ⁿλ_jpⁱ−p^j2= forall i=1,…,n,

for some scalar independent of i.     

Synthesis of Aldehydo Sugar (4‐oxoquinazolin‐2‐yl)hydrazones and their transformation into 1‐(alditol‐1‐yl)‐1,2,4‐triazolo‐[4,3‐a]quinazolin‐5(4H)‐ones

A series of the aldehydo‐sugar hydrazones 4a‐d and 5a‐d were prepared by the reaction of 2‐hydrazino‐quinazolin‐4(3H)‐one ( 1 ) and 3‐ethyl‐2‐hydrazinoquinazolin‐4(3H)‐one ( 2 ) with aldoses 3a‐d . Treatment of hydrazones 4a‐d and 5a‐d with acetic anhydride in pyridine gave hydrazone acetates 6a‐d and 7a‐d . Compounds 7a‐d were also prepared by ethylation of 6a‐d . Reaction of compounds 4a‐d and 5a‐d with hot ethanolic ferric chloride led to oxidative cyclization to angular ring systems 8a‐d and 9a‐d rather than to the linear system 10 . Acetylation of 8a‐d afforded the per‐O, N‐acetyl derivatives 11a‐d , which were converted into the corresponding ethyl derivatives 12a‐d . Compounds 12a‐d were identical with the acetylation products derived from 9a‐d .     

Lithiation of 3-(Acylamino)-2-unsubstituted-, 3-(Acylamino)-2-ethyl-, and 3-(Acylamino)-2-propyl-4(3H)-quinazolinones: Convenient Syntheses of More Complex Quinazolinones(1)

3-(Pivaloylamino)- and 3-(acetylamino)-4(3H)-quinazolinones react with alkyllithium reagents to give 1,2-addition products in very good yields. Lithiation takes place with LDA and is regioselective at position 2. The lithium reagents thus obtained react with a variety of electrophiles to give the corresponding substituted derivatives in very good yields. Reactions of the lithium reagents with iodine give oxidatively dimerized cyclic structures. 3-(Pivaloylamino)- and 3-(acetylamino)-2-ethyl-4(3H)-quinazolinones and 3-(pivaloylamino)- and 3-(acetylamino)-2-propyl-4(3H)-quinazolinones are lithiated at the benzylic position with LDA. The lithium reagents so produced also react with a variety of electrophiles to give the corresponding 2-substituted-4(3H)-quinazolinone derivatives in very good yields. However, lithiation of 3-(acylamino)-2-(1-methylethyl)-4(3H)-quinazolinones was unsuccessful, as were lithiations of compounds having a diacetylamino group at position 3. The amide groups have been cleaved in good yield under basic or acidic conditions from some of the products to provide access to the free amino compounds.     

Compounds from the Medicines for Malaria Venture Box Inhibit In Vitro Growth of Babesia divergens,a Blood-Borne Parasite of Veterinary and Zoonotic Importance

Babesiosis is an infectious disease with an empty drug pipeline. A search inside chemical libraries for novel potent antibabesial candidates may help fill such an empty drug pipeline. A total of 400 compounds (200 drug-like and 200 probe-like) from the Malaria Box were evaluated in the current study against the in vitro growth of Babesia divergens (B. divergens), a parasite of veterinary and zoonotic importance. Novel and more effective anti-B. divergens drugs than the traditionally used ones were identified. Seven compounds (four drug-like and three probe-like) revealed a highly inhibitory effect against the in vitro growth of B. divergens, with IC₅₀s ≤ 10 nanomolar. Among these hits, MMV006913 exhibited an IC₅₀ value of 1 nM IC₅₀ and the highest selectivity index of 32,000. The atom pair fingerprint (APfp) analysis revealed that MMV006913 and MMV019124 showed maximum structural similarity (MSS) with atovaquone and diminazene aceturate (DA), and with DA and imidocarb dipropionate (ID), respectively. MMV665807 and MMV665850 showed MMS with each other and with ID. Of note, a high concentration (0.75 IC₅₀) of MMV006913 caused additive inhibition of B. divergens growth when combined with DA at 0.75 or 0.50 IC₅₀. The Medicines for Malaria Venture box is a treasure trove of anti-B. divergens candidates according to the obtained results.     

Heterogeneous triopoly game with isoelastic demand function

In this paper, we analyze a triopolistic market with heterogeneous firms when the demand function is isoelastic. We consider the same heterogeneous firms as Elabbasy et al. (Comput. Math. Appl. 57:488?C499, 2009) introducing a nonlinearity in the demand function instead of the cost function. Stability conditions of the two equilibrium points and complex dynamics are studied. The main novelty consists of the double route to chaos, via period-doubling bifurcations and via Neimark?CSacker bifurcation. The two routes have important differences from the economic point of view.     

Modular relations for the Rogers–Ramanujan functions with applications to partitions

The Ramanujan Journal - In this paper, we obtain several new modular relations for the Rogers–Ramanujan functions. Furthermore, we give partition theoretic interpretations for some of our...