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Yang, et al.
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           Figure 1. (A) The XRD patterns of Mg-25Sc powder milled for different time and (B) the enlarged Mg(101) peak.

           Table 1. The lattice constant, crystallite size, and lattice strain of   HR-TEM image of powder is shown in  Figure  2C,
           Mg-25Sc powder at various ball milling time were calculated by   which revealed the alignment of various lattice planes
           Scherer formula and Williamson-Hall equation .      inside a single region. Furthermore, the selected red
                                            [37]
           Ball milling   Lattice constant  Crystallite  Lattice   square  area  from  Figure  2C  was  processed  through
           time (hours)      (nm)       size (nm)   strain     fast Fourier transform (FFT) and inverse FFT.  The
                          a       c                            inverse FFT image, as presented in Figure 2D, showed
           0            0.32096 0.52074   43.6        /        obvious lattice distortion and dislocation. Comparing
                                                               with Mg (102) phase, the increased interplanar spacing
           10           0.32132 0.52127   27.7      0.12       of Mg (102) suggested the lattice expansion caused
           20           0.32197 0.52160   18.1      0.48       by the substitution of Mg atoms by Sc in the hcp-Mg
           30           0.32236 0.52182   13.6      0.60       lattice, which was attributed to the lattice expansion
           40           0.32259 0.52229   11.4      0.67       and formation single-phase Mg(Sc) solid solution. In
                                                               addition, the  TEM elements mapping of Mg and Sc
               Basing on the XRD data, the lattice constants and   were conducted to study the elements distribution.
           strain of Mg(Sc) solid solution were calculated using   As shown in Figure 2E, it could be clearly seen that
           Scherer formula and Williamson-Hall equation, and the   Sc solute was uniformly distributed on the randomly
           results are shown in Table 1. It could be seen that both   selected area.
           the lattice constant and strain increased with increasing   Combining above TEM and XRD results, it was
           milling time. Since the atomic radius of Sc (2.30 Å) was   clearly indicated that the Mg(Sc) solid solution was
           larger than that of Mg (1.60 Å), the solid solution of Sc   prepared by MA.  The corresponding mechanism is
           caused the expansion of Mg unit cell . In addition,   schematically illustrated in  Figure  3. At early stage,
                                             [36]
           the grain size of α-Mg decreased with the extension of   the ductile components of Mg and Sc particles got
           milling time, arriving 11.4 nm at 40 h, which suggesting   flattened  to  platelet  shapes,  as  it  undergone  plastic
                                                                                                   . The powder
                                                               deformation by a micro-forging process
                                                                                                 [38]
           that  MA  facilitated  the  formation  of  nanocrystalline   microstructure was mainly composed of coarse α-Mg
           grain.                                              grains and irregular Sc precipitates. With ball milling
               Transmission electron  microscope  (TEM)  was   time  increasing,  these  flattened  particles  welded
           performed to elucidate the morphology of crystalline   together and formed a composite lamellar structure. In
           phase of Mg-25Sc powder milled for 40 h. The powder   addition, the intense ball milling effect resulted in the
           morphology is shown in  Figure  2A. The  SAED       transient temperature rise in the ball powder collision
           ring patterns are displayed in  Figure  2B. The  phase   region. As a consequence, the diffusion rate of atoms in
           identification was achieved by comparing the measured   adjacent particles was accelerated. Simultaneously, the
           distance of SAED pattern with the standard distance in   Sc particles got gradually diffused into the Mg matrix
           the ICDD database. It could be seen that the diffracted   leading to the formation of Mg(Sc) solid solution. With
           rings were mainly composed of  α-Mg  phase. The     milling time further extending, the composite powder

                                       International Journal of Bioprinting (2022)–Volume 8, Issue 3        99
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