Convergence and Uniform Convergence of Fourier Series

The study of the distribution of the transition metals and Si during primary precipitation of the intermetallic phases in Al–Mn–Si alloys

“…6, the Si concentration in the intermetallic phases both primary (␤) and peritectic (␣) as affected by the Si content in alloy is shown. One can say that the trend stated in the high Si alloys [5][6][7]9,16] can be extended for alloys of lower Si content, examined in the present work and reported in Tibbals et al's work [16]. It corresponds with an assumption that Si atoms occupy the vacant sites in the crystal lattice before replacing Al atoms positions.…”

“…The AlMn(FeCr)Si alloys were prepared from pure components: Al4N, Mn, and AlSi, AlFe, AlCr master alloys. This chemical composition was chosen to examine the process of the formation of the intermetallic phases AlMnSi during the peritectic transformation L + ␤-AlMnSi → ␣-AlMnSi in range of the silicon content lower than that in previously published works [6][7][8][9][10][11]. The components were melted in the induction furnace with Ar protective atmosphere and poured into graphite crucibles.…”

“…The effect of the Fe addition on the transformation of the high temperature ␤-AlMnSi phase into the stable ␣-AlMnSi phase has not been still determined. More data are attainable with regard to the effect of transition elements (Mn and Cr) on the phases in the Al-Fe-Si alloys, especially on the substrate and products of the reactions (phase transformations) taking part in processes occurring during alloy solidification [9][10][11][12][13][14][15][16][17]. Analysis of the chemical composition of ␣-AlMnSi phase particles precipitated in alloys of different composition [16] showed that observed differences concerned mainly the concentration of Si (Table 1).…”

“…Si concentration in the intermetallic phases AlMn(Fe)Si vs. Si content in alloy Al-Mn-(Fe)-Si: (♦) phase ␣, according to[9,16]; ( ) phase ␣, according to present work; ( ) phase ␤, according to present work.…”