2,3‐ O ‐Isopropylidene‐ D ‐Erythronolactone

Abstract

2,3‐ O ‐isopropylidene‐ D ‐erythronolactone intermediate: D ‐erythronolactone product: 2,3‐ O ‐isopropylidene‐ D ‐erythronolactone

Phase diagram of the ABC model with nonequal densities

“…The present study opens the door for future studies of the ordered phase in the ABC model with arbitrary values of average densities. We plan to employ the solution obtained here in order to study the inequivalence of ensembles in the nonconserving ABC model with nonequal densities [15] and compare the results with those previously obtained for the equal-densities case [13,14].…”

“…Note that the dependence on m is hidden in k, κ, α ± . The two other profiles, ρ A (x) and ρ B (x), are obtained from (15) and…”

“…We now express using elliptic integrals the two conditions that determine mapping between K, Q A and β, ∆. The first condition is identical to (A.11), The two other profiles, ρ A (x) and ρ B (x), are again obtained from (15) and ρ A (x) + ρ B (x) = 1 − ρ C (x).…”

“…The study presented in this paper of the nature of the phase-separated state can be generalized to the case of the nonconserving ABC model with arbitrary densities. This would enable one to explore phenomena such as inequivalence of ensembles in a genuinely driven model which does not obey detailed balance [15].…”

Simple and Highly Convenient Two-Step Practical Procedure for the Synthesis of Optically Pure MethylD-erythro-2,3-Dihydroxybutanoate

“…[7] Although g-butyrolactones have been opened with BBr 3 [8] and Ph 3 PBr 2 [9] to afford 4-bromobutyric acid derivatives, d-erythronolactone has not been subjected to the same protocol. In fact the halo derivatives 4a and 4b are not reported in the literature.…”