Modeling of columnar-to-equiaxed transition in solidified Al-Si alloys

A Cellular-Automaton Finite-Volume-Method (CAFVM) algorithm has been developed, coupling with macroscopic model for heat transfer calculation and microscopic models for nucleation and growth. The solution equations have been solved to determine the time-dependent constitutional undercooling and interface retardation during solidification. The constitutional undercooling is then coupled into the CAFVM algorithm to investigate both the effects of thermal and constitutional undercooling on columnar growth and crystal selection in the columnar zone, and formation of equiaxed crystals in the bulk liquid. The model cannot only simulate microstructures of alloys but also investigates nucleation mechanisms and growth kinetics of alloys solidified with various solute concentrations and solidification morphologies.

2,6,,9-trioxabicyclo[3.3.1]nona-3,7-dienes and 2,4,6,8-tetraoxaadamantanes: Novel chiral spacer units in macrocyclic polyethers

The unusual chiral heterocyclic systems, trioxabicyclo[3.3.1]nona-3,7-dienes (bridged bisdioxines), are incorporated as novel spacer molecules into macrocyclic polyether ring systems of various sizes (8, 9 as well as 11-15) by cyclocondensation reaction of the! bisacid chloride 4b or bisesters 6,7 and 10, with several ethylene glycols. The 2:2 macrocycles 12-14 are obtained in approximately 50:50 mixtures of diastereomers. These conclusions are mainly based on HPLC data presented in Table I as well as X-ray analyses of (1R,5R)-8c (space group Pbca, a = 10.163(3) Angstrom, b = 18.999(4) Angstrom, c = 36.187(10) Angstrom, V = 6987(3) Angstrom(3), Z = 8, d(calc) = 1.218 g cm(-3), 6974 reflections, R = 0.0553.), mesolrac-11 (space group P (1) over bar, a = 10.472(5) Angstrom, b = 16.390(5) Angstrom, c = 17.211(5) Angstrom, alpha = 98.69(2)degrees, beta = 93.04(2)degrees, gamma = 98.52(2)degrees, V = 2879.3(18) Angstrom(3), Z = 2, d(calc) = 1.173 g cm(-3), 11,162 reflections, R = 0.0945) and meso-12 (space group P2(1)/c, a = 9.927(2), b = 18.166(3), c = 17.820(3) Angstrom, beta = 96.590(10)degrees, V = 3192.3(10)Angstrom(3), Z = 4, D-c = 1.109 g cm(-3), 3490 reflections, R = 0.0646). The 1:1 macrocycles 8b,c are also formed by intramolecular transesterification of the open-chain bisesters 7b,c and their formation is favored by the use of metal ions as templates. The bridged bisdioxine moieties in 8b and 12 are converted into the corresponding chiral tetra-oxaadamantane spacers to afford macrocycles 16 and 17. Preliminary metal ion complexation studies with selected species (8c, 11-14) were also performed.