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Corrigendum to “The density and packing fraction of binary metallic glasses” [Acta Mater. 61 (2013) 3157–3171]
Acta Materialia 98 (2015) 433–436
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Acta Materialia journal homepage: www.elsevier.com/locate/actamat
Corrigendum
Corrigendum to ‘‘The density and packing fraction of binary metallic glasses’’ [Acta Mater. 61 (2013) 3157–3171] Daniel B. Miracle ⇑ Air Force Research Laboratory, Materials and Manufacturing Directorate, Wright Patterson AFB, OH 45433, USA
The author regrets the typographical errors in Table 1, which gave incorrect values for the global atom packing fractions based on measured densities, Pmeas, and the global atom packing fractions based on calculated densities, Pcalc. The correct values are shown in the revised table below.
Table 1 Structure parameters, densities and packing fractions.
X
a
fa
~r X
R
hZi
^ SX
Sa
SX
KhZi 0 (pm)
Ca Ca Ca Co Co Co Co Co Co Co Co Co Co Co Co Co Co Co Co Co Co Co Co Fe Fe Fe Fe Fe Fe Fe
Al Mg Mg B B B B B B B B B B B B B B B B P P P P B B B B B B B
0.4 0.3 0.4 0.16 0.17 0.18 0.185 0.2 0.2 0.22 0.23 0.24 0.25 0.28 0.3 0.3 0.31 0.35 0.4 0.19 0.203 0.22 0.236 0.12 0.13 0.14 0.16 0.16 0.17 0.18
182 191 185 124 124 124 124 124 124 124 124 124 124 124 124 124 124 122 119 124 124 124 124 126 126 126 126 126 126 126
0.776 0.839 0.863 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.724 0.740 0.847 0.847 0.847 0.847 0.698 0.698 0.698 0.698 0.698 0.698 0.698
h10i h10i h12i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h10i h10i h10i h10i h9i h9i h9i h9i h9i h9i h9i
9.73 10.46 10.75 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.01 9.15 9.34 10.56 10.56 10.56 10.56 8.87 8.87 8.87 8.87 8.87 8.87 8.87
5.49 4.34 5.90 1.71 1.84 1.98 2.04 2.25 2.25 2.54 2.69 2.84 3.00 3.50 3.86 3.86 4.03 4.60 5.33 2.48 2.69 2.98 3.26 1.21 1.33 1.44 1.69 1.69 1.82 1.95
8.24 10.12 8.85 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 8.97 8.55 8.00 10.56 10.56 10.56 10.56 8.87 8.87 8.87 8.87 8.87 8.87 8.87
595 652 642 381 381 381 382 383 383 385 386 387 388 391 394 394 395 390 385 415 417 419 421 386 386 386 386 386 386 386
qmeas * (g/cm3) 1.96 1.45 1.47 8.225 8.34 8.205 8.29 8.11 8.185 8.12 8.16 8.055 8.02 7.93 7.73 7.86 7.815 7.59 7.44 7.97 7.94 7.89 7.9 7.44 7.51 7.5 7.51 7.38 7.47 7.48
hZi qcalc (g/cm3)
1.89 1.53 1.56 8.22 8.24 8.26 8.25 8.20 8.20 8.12 8.08 8.04 7.99 7.86 7.77 7.77 7.73 7.72 7.68 8.10 8.09 8.07 8.05 7.37 7.39 7.40 7.44 7.44 7.46 7.48
DqhZi (%)
Pmeas
Pcalc
3.6 5.6 6.1 0.1 1.2 0.7 0.4 1.1 0.1 0.0 1.0 0.2 0.3 0.9 0.5 1.1 1.0 1.7 3.3 1.6 1.9 2.3 1.9 1.0 1.7 1.3 0.9 0.8 0.1 0.0
0.762 0.640 0.646 0.693 0.704 0.694 0.702 0.689 0.696 0.694 0.699 0.691 0.690 0.688 0.674 0.686 0.684 0.672 0.670 0.661 0.660 0.657 0.659 0.685 0.693 0.693 0.697 0.685 0.694 0.697
0.735 0.676 0.686 0.692 0.696 0.699 0.699 0.697 0.697 0.693 0.692 0.690 0.688 0.682 0.678 0.678 0.677 0.684 0.692 0.672 0.672 0.672 0.671 0.679 0.682 0.684 0.691 0.691 0.694 0.697
(continued on next page)
DOI of original article: http://dx.doi.org/10.1016/j.actamat.2013.02.005
⇑ Tel.: +1 937 255 9833.
E-mail address: [email protected] http://dx.doi.org/10.1016/j.actamat.2015.07.065 1359-6454/Published by Elsevier Ltd. on behalf of Acta Materialia Inc.
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D.B. Miracle / Acta Materialia 98 (2015) 433–436
Table 1 (continued)
X
a
fa
~r X
R
hZi
^ SX
Sa
SX
KhZi 0 (pm)
qmeas * (g/cm3)
hZi qcalc (g/cm3)
DqhZi (%)
Pmeas
Pcalc
Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe La La La La La La La Mg Mg Nb Nb Ni Ni Ni Ni Ni Ni Ni Ni Ni Ni Ni Pd Pd Pd Pd Pd Pd Pt Ti Ti Ti Ti Ti Cu Y Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr
B B B B B B B B B B B B P P P P P P P P P P P Ga Ga Ga Ga Ga Ga Ga Cu Zn Ni Ni Nb Nb B P P P P P P P P Ge Ge Ge Ge Si Si P Be Be Be Be Cu Ti Cu Be Be Be Be Be Be Be Be Co Co Co Co Co Co Co Co
0.19 0.2 0.2 0.21 0.22 0.23 0.24 0.25 0.25 0.26 0.27 0.28 0.145 0.145 0.16 0.16 0.17 0.18 0.182 0.19 0.2 0.2 0.216 0.16 0.18 0.2 0.22 0.24 0.26 0.28 0.3 0.3 0.4 0.5 0.44 # 0.37 # 0.18 0.112 0.152 0.185 0.2 0.21 0.222 0.24 0.263 0.18 0.198 0.221 0.248 0.18 0.2 0.25 0.37 0.375 0.4 0.41 0.5 0.4 # 0.4 0.3 0.3 0.35 0.35 0.4 0.4 0.45 0.5 0.2 0.3 0.3 0.33 0.35 0.4 0.45 0.47
126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 187 187 187 187 187 187 187 159 159 139 137 129 128 126 126 126 126 126 126 126 126 126 142 142 142 142 142 142 141 138 138 137 137 136 129 164 158 158 155 155 151 151 148 145 158 157 157 155 154 151 148 147
0.698 0.698 0.698 0.698 0.698 0.698 0.698 0.698 0.698 0.698 0.698 0.698 0.833 0.833 0.833 0.833 0.833 0.833 0.833 0.833 0.833 0.833 0.833 0.717 0.717 0.717 0.717 0.717 0.717 0.717 0.791 0.849 0.905 0.922 1.105 1.115 0.698 0.833 0.833 0.833 0.833 0.833 0.833 0.833 0.833 0.803 0.803 0.803 0.803 0.775 0.775 0.745 0.816 0.818 0.824 0.826 0.926 1.104 0.770 0.715 0.715 0.729 0.729 0.746 0.746 0.763 0.781 0.785 0.788 0.788 0.798 0.805 0.821 0.837 0.844
h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i h9i h9i h9i h9i h9i h9i h9i h10i h10i h12i h12i h15i h15i h9i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i h9i h10i h10i h10i h10i h12i h15i h10i h9i h9i h9i h9i h9i h9i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i
8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 9.07 9.07 9.07 9.07 9.07 9.07 9.07 9.91 10.59 12.04 12.26 14.83 14.98 8.87 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.04 10.04 10.04 10.04 9.72 9.72 9.39 10.20 10.22 10.29 10.32 12.32 14.82 9.67 9.06 9.06 9.21 9.21 9.40 9.40 9.59 9.79 9.84 9.88 9.88 9.99 10.07 10.26 10.44 10.52
2.08 2.22 2.22 2.36 2.50 2.65 2.80 2.96 2.96 3.12 3.28 3.45 1.76 1.76 1.98 1.98 2.13 2.28 2.31 2.44 2.60 2.60 2.87 1.73 1.99 2.27 2.56 2.87 3.19 3.53 4.17 4.38 6.42 8.13 7.41 6.28 1.95 1.31 1.86 2.36 2.60 2.76 2.97 3.28 3.71 2.20 2.48 2.85 3.31 2.13 2.43 3.13 5.25 5.33 5.72 5.87 8.16 6.73 5.47 3.88 3.88 4.62 4.62 5.36 5.36 6.12 6.90 2.46 4.16 4.16 4.62 4.92 5.70 6.50 6.82
8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 9.07 9.07 9.07 9.07 9.07 9.07 9.07 9.74 10.21 9.63 8.13 9.43 10.70 8.87 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.04 10.04 10.04 10.04 9.72 9.72 9.39 8.95 8.88 8.57 8.45 8.16 10.09 8.20 9.06 9.06 8.59 8.59 8.04 8.04 7.48 6.90 9.84 9.72 9.72 9.38 9.15 8.55 7.94 7.70
386 387 387 388 389 390 391 392 392 393 394 395 410 410 414 414 415 416 416 417 418 418 420 578 578 581 584 587 590 593 527 547 499 496 505 503 386 403 412 417 418 420 421 424 427 456 459 463 467 445 448 452 466 466 464 464 495 501 533 504 504 499 499 493 493 480 475 503 519 519 516 514 510 506 504
7.5 7.4 7.45 7.41 7.38 7.34 7.3 7.27 7.22 7.215 7.18 7.09 7.285 7.25 7.27 7.2 7.26 7.225 7.14 7.175 7.118 7.1 7.03 6.07 6.24 6.25 6.28 6.22 6.28 6.42 3.11 2.92 8.86 8.91 8.92 8.95 8.36 8.31 8.16 8 7.9 7.94 7.8 7.8 7.73 11.06 11.12 11.07 11.1 10.25 10.3 15.8 3.83 3.8 3.77 3.72 6.25 6.69 6.06 5.72 5.72 5.65 5.48 5.46 5.48 5.18 5.08 6.8 7 6.68 7.12 7.2 7.35 7.4 7.63
7.47 7.44 7.44 7.41 7.38 7.35 7.32 7.28 7.28 7.25 7.21 7.18 7.64 7.64 7.54 7.54 7.52 7.51 7.51 7.50 7.49 7.49 7.48 5.95 6.02 6.02 6.01 6.01 6.00 5.99 2.85 2.71 8.52 8.40 8.78 8.68 7.85 8.25 7.95 7.85 7.83 7.82 7.80 7.77 7.74 10.73 10.72 10.70 10.67 10.33 10.19 17.29 3.90 3.89 3.84 3.81 6.22 7.20 5.90 5.59 5.59 5.51 5.51 5.43 5.43 5.54 5.35 6.80 6.72 6.72 6.80 6.86 6.99 7.11 7.15
0.4 0.6 0.1 0.0 0.0 0.1 0.2 0.2 0.9 0.5 0.5 1.3 4.9 5.4 3.7 4.7 3.6 4.0 5.2 4.6 5.3 5.5 6.4 2.0 3.5 3.7 4.3 3.4 4.5 6.7 8.3 7.3 3.9 5.7 1.5 3.0 6.1 0.8 2.6 1.9 0.9 1.6 0.0 0.3 0.1 3.0 3.6 3.4 3.8 0.7 1.1 9.5 1.9 2.5 1.8 2.5 0.5 7.6 2.6 2.2 2.2 2.5 0.6 0.6 0.9 6.9 5.4 0.0 4.1 0.5 4.5 4.8 4.9 3.9 6.2
0.700 0.692 0.697 0.694 0.693 0.691 0.688 0.687 0.682 0.683 0.682 0.675 0.661 0.658 0.660 0.653 0.659 0.656 0.648 0.652 0.647 0.645 0.639 0.704 0.721 0.720 0.721 0.712 0.716 0.729 0.754 0.725 0.808 0.807 0.804 0.802 0.742 0.719 0.707 0.695 0.687 0.691 0.679 0.680 0.675 0.727 0.729 0.722 0.720 0.725 0.732 0.619 0.674 0.671 0.675 0.670 0.688 0.691 0.758 0.692 0.692 0.700 0.679 0.695 0.698 0.679 0.689 0.716 0.722 0.689 0.729 0.734 0.741 0.737 0.756
0.697 0.696 0.696 0.695 0.693 0.692 0.690 0.688 0.688 0.687 0.685 0.683 0.693 0.693 0.684 0.684 0.682 0.682 0.682 0.681 0.681 0.681 0.679 0.690 0.696 0.693 0.690 0.687 0.684 0.681 0.691 0.672 0.685 0.680 0.662 0.661 0.697 0.713 0.689 0.682 0.681 0.680 0.679 0.678 0.675 0.705 0.702 0.698 0.692 0.730 0.724 0.677 0.687 0.687 0.687 0.687 0.685 0.723 0.739 0.677 0.677 0.683 0.683 0.691 0.691 0.726 0.726 0.716 0.692 0.692 0.697 0.699 0.704 0.708 0.709
435
D.B. Miracle / Acta Materialia 98 (2015) 433–436 Table 1 (continued)
X
a
fa
~r X
R
hZi
^ SX
Sa
SX
KhZi 0 (pm)
Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu
Co Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr
0.52 0.4 0.4 0.4 0.4 0.45 0.45 0.46 0.46 0.478 0.485 0.488 0.492 0.495 0.497 0.5 0.5 0.5 0.5 0.5 0.501 0.504 0.505 0.506 0.51 0.513 0.514 0.519 0.52 0.524 0.534 0.54 0.54 0.542 0.451 # 0.45 # 0.45 # 0.449 # 0.446 # 0.442 # 0.44 # 0.439 # 0.436 # 0.434 # 0.429 # 0.422 # 0.417 # 0.411 # 0.41 # 0.409 # 0.405 # 0.402 # 0.4 # 0.4 # 0.4 # 0.397 # 0.394 # 0.391 # 0.388 # 0.385 # 0.382 # 0.38 # 0.376 # 0.373 # 0.372 # 0.368 # 0.367 # 0.365 # 0.36 # 0.36 # 0.36 # 0.356 # 0.352 # 0.35 # 0.35 #
144 151 151 151 151 149 149 148 148 147 147 147 147 146 146 146 146 146 146 146 146 146 146 146 146 146 145 145 145 145 145 144 144 144 132 132 132 132 132 132 132 132 132 132 132 132 131 131 131 131 131 131 131 131 131 131 131 131 131 131 131 130 130 130 130 130 130 130 130 130 130 130 130 130 130
0.859 0.832 0.832 0.832 0.832 0.847 0.847 0.850 0.850 0.856 0.858 0.859 0.860 0.861 0.861 0.862 0.862 0.862 0.862 0.862 0.862 0.863 0.864 0.864 0.865 0.866 0.866 0.868 0.868 0.869 0.872 0.874 0.874 0.874 1.193 1.193 1.193 1.193 1.194 1.195 1.196 1.196 1.197 1.197 1.198 1.200 1.202 1.203 1.203 1.204 1.205 1.205 1.206 1.206 1.206 1.207 1.208 1.208 1.209 1.210 1.211 1.211 1.212 1.213 1.213 1.214 1.214 1.215 1.216 1.216 1.216 1.217 1.218 1.219 1.219
h12i h10i h10i h10i h10i h10i h10i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i
10.70 10.39 10.39 10.39 10.39 10.56 10.56 10.60 10.60 10.66 10.69 10.70 10.71 10.72 10.73 10.74 10.74 10.74 10.74 10.74 10.74 10.75 10.76 10.76 10.77 10.78 10.79 10.80 10.81 10.82 10.86 10.88 10.88 10.88 16.15 16.15 16.15 16.15 16.17 16.18 16.19 16.19 16.20 16.21 16.23 16.26 16.28 16.30 16.31 16.31 16.33 16.34 16.35 16.35 16.35 16.36 16.37 16.38 16.40 16.41 16.42 16.43 16.44 16.45 16.46 16.47 16.48 16.49 16.51 16.51 16.51 16.52 16.54 16.55 16.55
7.65 5.75 5.75 5.75 5.75 6.55 6.55 6.72 6.72 7.01 7.12 7.17 7.24 7.29 7.32 7.37 7.37 7.37 7.37 7.37 7.39 7.43 7.45 7.47 7.53 7.58 7.60 7.68 7.70 7.77 7.93 8.03 8.03 8.07 8.18 8.17 8.17 8.15 8.10 8.04 8.00 7.99 7.94 7.90 7.82 7.71 7.62 7.52 7.51 7.49 7.42 7.37 7.34 7.34 7.34 7.29 7.24 7.19 7.14 7.09 7.04 7.00 6.93 6.88 6.87 6.80 6.78 6.75 6.66 6.66 6.66 6.59 6.53 6.49 6.49
7.06 8.63 8.63 8.63 8.63 8.01 8.01 7.88 7.88 7.65 7.56 7.52 7.47 7.43 7.41 7.37 7.37 7.37 7.37 7.37 7.36 7.32 7.30 7.29 7.24 7.20 7.19 7.12 7.11 7.05 6.92 6.84 6.84 6.82 9.96 9.98 9.98 10.00 10.06 10.14 10.19 10.21 10.27 10.31 10.41 10.55 10.66 10.78 10.80 10.82 10.91 10.97 11.01 11.01 11.01 11.07 11.13 11.20 11.26 11.32 11.38 11.42 11.51 11.57 11.59 11.68 11.70 11.74 11.84 11.84 11.84 11.93 12.01 12.05 12.05
499 515 515 515 515 511 511 508 508 507 507 507 507 506 506 506 506 506 506 506 506 506 506 506 506 505 505 505 505 505 504 504 504 504 555 555 555 555 555 555 555 555 554 554 554 553 553 553 553 552 552 552 552 552 552 552 551 551 551 551 551 550 550 550 550 550 549 549 549 549 549 549 548 548 548
qmeas * (g/cm3) 7.7 7.19 7.07 7.17 7.23 7.26 7.14 7.31 7.31 7.155 7.175 7.18 7.21 7.205 7.22 7.39 7.19 7.34 7.33 7.41 7.23 7.26 7.27 7.28 7.28 7.295 7.275 7.28 7.29 7.295 7.305 7.32 7.47 7.33 7.35 7.47 7.34 7.35 7.37 7.39 7.54 7.405 7.425 7.435 7.43 7.44 7.45 7.47 7.37 7.465 7.495 7.49 7.64 7.37 7.53 7.51 7.52 7.515 7.535 7.52 7.54 7.67 7.55 7.6 7.61 7.64 7.63 7.645 7.63 7.54 7.76 7.62 7.61 7.53 7.76
hZi qcalc (g/cm3)
7.33 7.00 7.00 7.00 7.00 7.12 7.12 7.24 7.24 7.27 7.28 7.28 7.29 7.30 7.30 7.30 7.30 7.30 7.30 7.30 7.30 7.31 7.31 7.31 7.32 7.32 7.32 7.33 7.33 7.34 7.35 7.36 7.36 7.36 7.30 7.30 7.30 7.30 7.31 7.32 7.32 7.32 7.33 7.33 7.34 7.35 7.36 7.37 7.38 7.38 7.38 7.39 7.39 7.39 7.39 7.40 7.41 7.41 7.42 7.42 7.43 7.43 7.44 7.44 7.44 7.45 7.45 7.46 7.47 7.47 7.47 7.47 7.48 7.48 7.48
DqhZi (%)
Pmeas
Pcalc
4.8 2.7 1.0 2.4 3.2 1.9 0.2 0.9 0.9 1.6 1.5 1.5 1.1 1.3 1.1 1.2 1.6 0.5 0.4 1.5 1.0 0.7 0.5 0.4 0.5 0.4 0.7 0.7 0.6 0.6 0.6 0.5 1.5 0.4 0.7 2.3 0.5 0.7 0.8 1.0 2.9 1.1 1.3 1.4 1.2 1.2 1.2 1.3 0.1 1.2 1.5 1.3 3.2 0.3 1.8 1.5 1.5 1.4 1.6 1.3 1.5 3.1 1.5 2.1 2.2 2.5 2.3 2.5 2.2 1.0 3.8 1.9 1.7 0.6 3.6
0.753 0.717 0.705 0.715 0.721 0.714 0.702 0.717 0.717 0.698 0.698 0.698 0.700 0.699 0.700 0.716 0.697 0.711 0.710 0.718 0.700 0.703 0.703 0.704 0.703 0.704 0.702 0.701 0.702 0.702 0.701 0.701 0.715 0.701 0.702 0.713 0.700 0.701 0.702 0.703 0.717 0.704 0.705 0.706 0.704 0.704 0.704 0.704 0.694 0.703 0.705 0.704 0.717 0.692 0.707 0.705 0.705 0.704 0.705 0.703 0.704 0.716 0.703 0.707 0.708 0.710 0.709 0.710 0.707 0.699 0.719 0.705 0.703 0.695 0.717
0.717 0.698 0.698 0.698 0.698 0.700 0.700 0.710 0.710 0.709 0.709 0.708 0.708 0.708 0.708 0.708 0.708 0.708 0.708 0.708 0.707 0.707 0.707 0.707 0.707 0.707 0.707 0.706 0.706 0.706 0.705 0.704 0.704 0.704 0.687 0.687 0.687 0.687 0.687 0.687 0.687 0.687 0.686 0.686 0.686 0.686 0.686 0.686 0.686 0.686 0.685 0.685 0.685 0.685 0.685 0.685 0.685 0.685 0.685 0.685 0.684 0.684 0.684 0.684 0.684 0.684 0.684 0.684 0.683 0.683 0.683 0.683 0.683 0.683 0.683
(continued on next page)
436
D.B. Miracle / Acta Materialia 98 (2015) 433–436
Table 1 (continued)
* #
X
a
fa
~r X
R
hZi
^ SX
Sa
SX
KhZi 0 (pm)
Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Zr Zr Zr Zr Zr Zr Zr
Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Fe Ni Pd Pd Pd Pd Si
0.346 # 0.34 # 0.34 # 0.335 # 0.324 # 0.322 # 0.32 # 0.319 # 0.315 # 0.312 # 0.31 # 0.3 # 0.3 # 0.3 0.3 0.3 0.3 0.33 0.35 0.15
130 129 129 129 129 129 129 129 129 129 129 128 128 157 157 157 157 156 156 158
1.220 1.221 1.221 1.223 1.225 1.226 1.226 1.227 1.228 1.228 1.229 1.231 1.231 0.802 0.802 0.906 0.906 0.910 0.913 0.696
h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h10i h10i h12i h12i h12i h12i h9i
16.56 16.58 16.58 16.60 16.65 16.65 16.66 16.67 16.68 16.69 16.70 16.74 16.74 10.03 10.03 12.05 12.05 12.10 12.14 8.85
6.42 6.32 6.32 6.23 6.04 6.01 5.97 5.95 5.88 5.83 5.80 5.62 5.62 4.21 4.21 4.81 4.81 5.31 5.65 1.56
12.14 12.27 12.27 12.37 12.61 12.65 12.69 12.71 12.80 12.86 12.90 13.12 13.12 9.82 9.82 11.23 11.23 10.79 10.49 8.85
548 548 548 547 546 546 546 546 546 546 546 545 545 524 524 562 562 561 560 483
Data are taken from Refs. [21,26]. Systems where the larger atom is the solute, a.
qmeas * (g/cm3) 7.6 7.635 7.83 7.62 7.65 7.625 7.63 7.67 7.66 7.65 7.655 7.63 7.86 6.45 6.71 7.53 7.71 7.9 8.02 6.327
hZi qcalc (g/cm3)
7.49 7.50 7.50 7.51 7.53 7.53 7.53 7.53 7.54 7.55 7.55 7.56 7.56 6.54 6.61 7.20 7.20 7.29 7.35 6.27
DqhZi (%)
Pmeas
Pcalc
1.5 1.8 4.2 1.5 1.6 1.3 1.3 1.8 1.6 1.4 1.4 0.9 3.8 1.4 1.5 4.4 6.6 7.7 8.4 0.9
0.701 0.703 0.720 0.700 0.700 0.697 0.697 0.701 0.699 0.697 0.697 0.692 0.713 0.678 0.698 0.718 0.735 0.743 0.747 0.694
0.682 0.682 0.682 0.682 0.681 0.681 0.680 0.680 0.680 0.680 0.680 0.679 0.679 0.688 0.688 0.686 0.686 0.686 0.685 0.687
Contents lists available at ScienceDirect
Acta Materialia journal homepage: www.elsevier.com/locate/actamat
Corrigendum
Corrigendum to ‘‘The density and packing fraction of binary metallic glasses’’ [Acta Mater. 61 (2013) 3157–3171] Daniel B. Miracle ⇑ Air Force Research Laboratory, Materials and Manufacturing Directorate, Wright Patterson AFB, OH 45433, USA
The author regrets the typographical errors in Table 1, which gave incorrect values for the global atom packing fractions based on measured densities, Pmeas, and the global atom packing fractions based on calculated densities, Pcalc. The correct values are shown in the revised table below.
Table 1 Structure parameters, densities and packing fractions.
X
a
fa
~r X
R
hZi
^ SX
Sa
SX
KhZi 0 (pm)
Ca Ca Ca Co Co Co Co Co Co Co Co Co Co Co Co Co Co Co Co Co Co Co Co Fe Fe Fe Fe Fe Fe Fe
Al Mg Mg B B B B B B B B B B B B B B B B P P P P B B B B B B B
0.4 0.3 0.4 0.16 0.17 0.18 0.185 0.2 0.2 0.22 0.23 0.24 0.25 0.28 0.3 0.3 0.31 0.35 0.4 0.19 0.203 0.22 0.236 0.12 0.13 0.14 0.16 0.16 0.17 0.18
182 191 185 124 124 124 124 124 124 124 124 124 124 124 124 124 124 122 119 124 124 124 124 126 126 126 126 126 126 126
0.776 0.839 0.863 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.710 0.724 0.740 0.847 0.847 0.847 0.847 0.698 0.698 0.698 0.698 0.698 0.698 0.698
h10i h10i h12i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h10i h10i h10i h10i h9i h9i h9i h9i h9i h9i h9i
9.73 10.46 10.75 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.01 9.15 9.34 10.56 10.56 10.56 10.56 8.87 8.87 8.87 8.87 8.87 8.87 8.87
5.49 4.34 5.90 1.71 1.84 1.98 2.04 2.25 2.25 2.54 2.69 2.84 3.00 3.50 3.86 3.86 4.03 4.60 5.33 2.48 2.69 2.98 3.26 1.21 1.33 1.44 1.69 1.69 1.82 1.95
8.24 10.12 8.85 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 8.97 8.55 8.00 10.56 10.56 10.56 10.56 8.87 8.87 8.87 8.87 8.87 8.87 8.87
595 652 642 381 381 381 382 383 383 385 386 387 388 391 394 394 395 390 385 415 417 419 421 386 386 386 386 386 386 386
qmeas * (g/cm3) 1.96 1.45 1.47 8.225 8.34 8.205 8.29 8.11 8.185 8.12 8.16 8.055 8.02 7.93 7.73 7.86 7.815 7.59 7.44 7.97 7.94 7.89 7.9 7.44 7.51 7.5 7.51 7.38 7.47 7.48
hZi qcalc (g/cm3)
1.89 1.53 1.56 8.22 8.24 8.26 8.25 8.20 8.20 8.12 8.08 8.04 7.99 7.86 7.77 7.77 7.73 7.72 7.68 8.10 8.09 8.07 8.05 7.37 7.39 7.40 7.44 7.44 7.46 7.48
DqhZi (%)
Pmeas
Pcalc
3.6 5.6 6.1 0.1 1.2 0.7 0.4 1.1 0.1 0.0 1.0 0.2 0.3 0.9 0.5 1.1 1.0 1.7 3.3 1.6 1.9 2.3 1.9 1.0 1.7 1.3 0.9 0.8 0.1 0.0
0.762 0.640 0.646 0.693 0.704 0.694 0.702 0.689 0.696 0.694 0.699 0.691 0.690 0.688 0.674 0.686 0.684 0.672 0.670 0.661 0.660 0.657 0.659 0.685 0.693 0.693 0.697 0.685 0.694 0.697
0.735 0.676 0.686 0.692 0.696 0.699 0.699 0.697 0.697 0.693 0.692 0.690 0.688 0.682 0.678 0.678 0.677 0.684 0.692 0.672 0.672 0.672 0.671 0.679 0.682 0.684 0.691 0.691 0.694 0.697
(continued on next page)
DOI of original article: http://dx.doi.org/10.1016/j.actamat.2013.02.005
⇑ Tel.: +1 937 255 9833.
E-mail address: [email protected] http://dx.doi.org/10.1016/j.actamat.2015.07.065 1359-6454/Published by Elsevier Ltd. on behalf of Acta Materialia Inc.
434
D.B. Miracle / Acta Materialia 98 (2015) 433–436
Table 1 (continued)
X
a
fa
~r X
R
hZi
^ SX
Sa
SX
KhZi 0 (pm)
qmeas * (g/cm3)
hZi qcalc (g/cm3)
DqhZi (%)
Pmeas
Pcalc
Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe Fe La La La La La La La Mg Mg Nb Nb Ni Ni Ni Ni Ni Ni Ni Ni Ni Ni Ni Pd Pd Pd Pd Pd Pd Pt Ti Ti Ti Ti Ti Cu Y Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr
B B B B B B B B B B B B P P P P P P P P P P P Ga Ga Ga Ga Ga Ga Ga Cu Zn Ni Ni Nb Nb B P P P P P P P P Ge Ge Ge Ge Si Si P Be Be Be Be Cu Ti Cu Be Be Be Be Be Be Be Be Co Co Co Co Co Co Co Co
0.19 0.2 0.2 0.21 0.22 0.23 0.24 0.25 0.25 0.26 0.27 0.28 0.145 0.145 0.16 0.16 0.17 0.18 0.182 0.19 0.2 0.2 0.216 0.16 0.18 0.2 0.22 0.24 0.26 0.28 0.3 0.3 0.4 0.5 0.44 # 0.37 # 0.18 0.112 0.152 0.185 0.2 0.21 0.222 0.24 0.263 0.18 0.198 0.221 0.248 0.18 0.2 0.25 0.37 0.375 0.4 0.41 0.5 0.4 # 0.4 0.3 0.3 0.35 0.35 0.4 0.4 0.45 0.5 0.2 0.3 0.3 0.33 0.35 0.4 0.45 0.47
126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 126 187 187 187 187 187 187 187 159 159 139 137 129 128 126 126 126 126 126 126 126 126 126 142 142 142 142 142 142 141 138 138 137 137 136 129 164 158 158 155 155 151 151 148 145 158 157 157 155 154 151 148 147
0.698 0.698 0.698 0.698 0.698 0.698 0.698 0.698 0.698 0.698 0.698 0.698 0.833 0.833 0.833 0.833 0.833 0.833 0.833 0.833 0.833 0.833 0.833 0.717 0.717 0.717 0.717 0.717 0.717 0.717 0.791 0.849 0.905 0.922 1.105 1.115 0.698 0.833 0.833 0.833 0.833 0.833 0.833 0.833 0.833 0.803 0.803 0.803 0.803 0.775 0.775 0.745 0.816 0.818 0.824 0.826 0.926 1.104 0.770 0.715 0.715 0.729 0.729 0.746 0.746 0.763 0.781 0.785 0.788 0.788 0.798 0.805 0.821 0.837 0.844
h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h9i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i h9i h9i h9i h9i h9i h9i h9i h10i h10i h12i h12i h15i h15i h9i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i h9i h10i h10i h10i h10i h12i h15i h10i h9i h9i h9i h9i h9i h9i h10i h10i h10i h10i h10i h10i h10i h10i h10i h10i
8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 9.07 9.07 9.07 9.07 9.07 9.07 9.07 9.91 10.59 12.04 12.26 14.83 14.98 8.87 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.04 10.04 10.04 10.04 9.72 9.72 9.39 10.20 10.22 10.29 10.32 12.32 14.82 9.67 9.06 9.06 9.21 9.21 9.40 9.40 9.59 9.79 9.84 9.88 9.88 9.99 10.07 10.26 10.44 10.52
2.08 2.22 2.22 2.36 2.50 2.65 2.80 2.96 2.96 3.12 3.28 3.45 1.76 1.76 1.98 1.98 2.13 2.28 2.31 2.44 2.60 2.60 2.87 1.73 1.99 2.27 2.56 2.87 3.19 3.53 4.17 4.38 6.42 8.13 7.41 6.28 1.95 1.31 1.86 2.36 2.60 2.76 2.97 3.28 3.71 2.20 2.48 2.85 3.31 2.13 2.43 3.13 5.25 5.33 5.72 5.87 8.16 6.73 5.47 3.88 3.88 4.62 4.62 5.36 5.36 6.12 6.90 2.46 4.16 4.16 4.62 4.92 5.70 6.50 6.82
8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 8.87 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 9.07 9.07 9.07 9.07 9.07 9.07 9.07 9.74 10.21 9.63 8.13 9.43 10.70 8.87 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.40 10.04 10.04 10.04 10.04 9.72 9.72 9.39 8.95 8.88 8.57 8.45 8.16 10.09 8.20 9.06 9.06 8.59 8.59 8.04 8.04 7.48 6.90 9.84 9.72 9.72 9.38 9.15 8.55 7.94 7.70
386 387 387 388 389 390 391 392 392 393 394 395 410 410 414 414 415 416 416 417 418 418 420 578 578 581 584 587 590 593 527 547 499 496 505 503 386 403 412 417 418 420 421 424 427 456 459 463 467 445 448 452 466 466 464 464 495 501 533 504 504 499 499 493 493 480 475 503 519 519 516 514 510 506 504
7.5 7.4 7.45 7.41 7.38 7.34 7.3 7.27 7.22 7.215 7.18 7.09 7.285 7.25 7.27 7.2 7.26 7.225 7.14 7.175 7.118 7.1 7.03 6.07 6.24 6.25 6.28 6.22 6.28 6.42 3.11 2.92 8.86 8.91 8.92 8.95 8.36 8.31 8.16 8 7.9 7.94 7.8 7.8 7.73 11.06 11.12 11.07 11.1 10.25 10.3 15.8 3.83 3.8 3.77 3.72 6.25 6.69 6.06 5.72 5.72 5.65 5.48 5.46 5.48 5.18 5.08 6.8 7 6.68 7.12 7.2 7.35 7.4 7.63
7.47 7.44 7.44 7.41 7.38 7.35 7.32 7.28 7.28 7.25 7.21 7.18 7.64 7.64 7.54 7.54 7.52 7.51 7.51 7.50 7.49 7.49 7.48 5.95 6.02 6.02 6.01 6.01 6.00 5.99 2.85 2.71 8.52 8.40 8.78 8.68 7.85 8.25 7.95 7.85 7.83 7.82 7.80 7.77 7.74 10.73 10.72 10.70 10.67 10.33 10.19 17.29 3.90 3.89 3.84 3.81 6.22 7.20 5.90 5.59 5.59 5.51 5.51 5.43 5.43 5.54 5.35 6.80 6.72 6.72 6.80 6.86 6.99 7.11 7.15
0.4 0.6 0.1 0.0 0.0 0.1 0.2 0.2 0.9 0.5 0.5 1.3 4.9 5.4 3.7 4.7 3.6 4.0 5.2 4.6 5.3 5.5 6.4 2.0 3.5 3.7 4.3 3.4 4.5 6.7 8.3 7.3 3.9 5.7 1.5 3.0 6.1 0.8 2.6 1.9 0.9 1.6 0.0 0.3 0.1 3.0 3.6 3.4 3.8 0.7 1.1 9.5 1.9 2.5 1.8 2.5 0.5 7.6 2.6 2.2 2.2 2.5 0.6 0.6 0.9 6.9 5.4 0.0 4.1 0.5 4.5 4.8 4.9 3.9 6.2
0.700 0.692 0.697 0.694 0.693 0.691 0.688 0.687 0.682 0.683 0.682 0.675 0.661 0.658 0.660 0.653 0.659 0.656 0.648 0.652 0.647 0.645 0.639 0.704 0.721 0.720 0.721 0.712 0.716 0.729 0.754 0.725 0.808 0.807 0.804 0.802 0.742 0.719 0.707 0.695 0.687 0.691 0.679 0.680 0.675 0.727 0.729 0.722 0.720 0.725 0.732 0.619 0.674 0.671 0.675 0.670 0.688 0.691 0.758 0.692 0.692 0.700 0.679 0.695 0.698 0.679 0.689 0.716 0.722 0.689 0.729 0.734 0.741 0.737 0.756
0.697 0.696 0.696 0.695 0.693 0.692 0.690 0.688 0.688 0.687 0.685 0.683 0.693 0.693 0.684 0.684 0.682 0.682 0.682 0.681 0.681 0.681 0.679 0.690 0.696 0.693 0.690 0.687 0.684 0.681 0.691 0.672 0.685 0.680 0.662 0.661 0.697 0.713 0.689 0.682 0.681 0.680 0.679 0.678 0.675 0.705 0.702 0.698 0.692 0.730 0.724 0.677 0.687 0.687 0.687 0.687 0.685 0.723 0.739 0.677 0.677 0.683 0.683 0.691 0.691 0.726 0.726 0.716 0.692 0.692 0.697 0.699 0.704 0.708 0.709
435
D.B. Miracle / Acta Materialia 98 (2015) 433–436 Table 1 (continued)
X
a
fa
~r X
R
hZi
^ SX
Sa
SX
KhZi 0 (pm)
Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu
Co Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr
0.52 0.4 0.4 0.4 0.4 0.45 0.45 0.46 0.46 0.478 0.485 0.488 0.492 0.495 0.497 0.5 0.5 0.5 0.5 0.5 0.501 0.504 0.505 0.506 0.51 0.513 0.514 0.519 0.52 0.524 0.534 0.54 0.54 0.542 0.451 # 0.45 # 0.45 # 0.449 # 0.446 # 0.442 # 0.44 # 0.439 # 0.436 # 0.434 # 0.429 # 0.422 # 0.417 # 0.411 # 0.41 # 0.409 # 0.405 # 0.402 # 0.4 # 0.4 # 0.4 # 0.397 # 0.394 # 0.391 # 0.388 # 0.385 # 0.382 # 0.38 # 0.376 # 0.373 # 0.372 # 0.368 # 0.367 # 0.365 # 0.36 # 0.36 # 0.36 # 0.356 # 0.352 # 0.35 # 0.35 #
144 151 151 151 151 149 149 148 148 147 147 147 147 146 146 146 146 146 146 146 146 146 146 146 146 146 145 145 145 145 145 144 144 144 132 132 132 132 132 132 132 132 132 132 132 132 131 131 131 131 131 131 131 131 131 131 131 131 131 131 131 130 130 130 130 130 130 130 130 130 130 130 130 130 130
0.859 0.832 0.832 0.832 0.832 0.847 0.847 0.850 0.850 0.856 0.858 0.859 0.860 0.861 0.861 0.862 0.862 0.862 0.862 0.862 0.862 0.863 0.864 0.864 0.865 0.866 0.866 0.868 0.868 0.869 0.872 0.874 0.874 0.874 1.193 1.193 1.193 1.193 1.194 1.195 1.196 1.196 1.197 1.197 1.198 1.200 1.202 1.203 1.203 1.204 1.205 1.205 1.206 1.206 1.206 1.207 1.208 1.208 1.209 1.210 1.211 1.211 1.212 1.213 1.213 1.214 1.214 1.215 1.216 1.216 1.216 1.217 1.218 1.219 1.219
h12i h10i h10i h10i h10i h10i h10i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h12i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i
10.70 10.39 10.39 10.39 10.39 10.56 10.56 10.60 10.60 10.66 10.69 10.70 10.71 10.72 10.73 10.74 10.74 10.74 10.74 10.74 10.74 10.75 10.76 10.76 10.77 10.78 10.79 10.80 10.81 10.82 10.86 10.88 10.88 10.88 16.15 16.15 16.15 16.15 16.17 16.18 16.19 16.19 16.20 16.21 16.23 16.26 16.28 16.30 16.31 16.31 16.33 16.34 16.35 16.35 16.35 16.36 16.37 16.38 16.40 16.41 16.42 16.43 16.44 16.45 16.46 16.47 16.48 16.49 16.51 16.51 16.51 16.52 16.54 16.55 16.55
7.65 5.75 5.75 5.75 5.75 6.55 6.55 6.72 6.72 7.01 7.12 7.17 7.24 7.29 7.32 7.37 7.37 7.37 7.37 7.37 7.39 7.43 7.45 7.47 7.53 7.58 7.60 7.68 7.70 7.77 7.93 8.03 8.03 8.07 8.18 8.17 8.17 8.15 8.10 8.04 8.00 7.99 7.94 7.90 7.82 7.71 7.62 7.52 7.51 7.49 7.42 7.37 7.34 7.34 7.34 7.29 7.24 7.19 7.14 7.09 7.04 7.00 6.93 6.88 6.87 6.80 6.78 6.75 6.66 6.66 6.66 6.59 6.53 6.49 6.49
7.06 8.63 8.63 8.63 8.63 8.01 8.01 7.88 7.88 7.65 7.56 7.52 7.47 7.43 7.41 7.37 7.37 7.37 7.37 7.37 7.36 7.32 7.30 7.29 7.24 7.20 7.19 7.12 7.11 7.05 6.92 6.84 6.84 6.82 9.96 9.98 9.98 10.00 10.06 10.14 10.19 10.21 10.27 10.31 10.41 10.55 10.66 10.78 10.80 10.82 10.91 10.97 11.01 11.01 11.01 11.07 11.13 11.20 11.26 11.32 11.38 11.42 11.51 11.57 11.59 11.68 11.70 11.74 11.84 11.84 11.84 11.93 12.01 12.05 12.05
499 515 515 515 515 511 511 508 508 507 507 507 507 506 506 506 506 506 506 506 506 506 506 506 506 505 505 505 505 505 504 504 504 504 555 555 555 555 555 555 555 555 554 554 554 553 553 553 553 552 552 552 552 552 552 552 551 551 551 551 551 550 550 550 550 550 549 549 549 549 549 549 548 548 548
qmeas * (g/cm3) 7.7 7.19 7.07 7.17 7.23 7.26 7.14 7.31 7.31 7.155 7.175 7.18 7.21 7.205 7.22 7.39 7.19 7.34 7.33 7.41 7.23 7.26 7.27 7.28 7.28 7.295 7.275 7.28 7.29 7.295 7.305 7.32 7.47 7.33 7.35 7.47 7.34 7.35 7.37 7.39 7.54 7.405 7.425 7.435 7.43 7.44 7.45 7.47 7.37 7.465 7.495 7.49 7.64 7.37 7.53 7.51 7.52 7.515 7.535 7.52 7.54 7.67 7.55 7.6 7.61 7.64 7.63 7.645 7.63 7.54 7.76 7.62 7.61 7.53 7.76
hZi qcalc (g/cm3)
7.33 7.00 7.00 7.00 7.00 7.12 7.12 7.24 7.24 7.27 7.28 7.28 7.29 7.30 7.30 7.30 7.30 7.30 7.30 7.30 7.30 7.31 7.31 7.31 7.32 7.32 7.32 7.33 7.33 7.34 7.35 7.36 7.36 7.36 7.30 7.30 7.30 7.30 7.31 7.32 7.32 7.32 7.33 7.33 7.34 7.35 7.36 7.37 7.38 7.38 7.38 7.39 7.39 7.39 7.39 7.40 7.41 7.41 7.42 7.42 7.43 7.43 7.44 7.44 7.44 7.45 7.45 7.46 7.47 7.47 7.47 7.47 7.48 7.48 7.48
DqhZi (%)
Pmeas
Pcalc
4.8 2.7 1.0 2.4 3.2 1.9 0.2 0.9 0.9 1.6 1.5 1.5 1.1 1.3 1.1 1.2 1.6 0.5 0.4 1.5 1.0 0.7 0.5 0.4 0.5 0.4 0.7 0.7 0.6 0.6 0.6 0.5 1.5 0.4 0.7 2.3 0.5 0.7 0.8 1.0 2.9 1.1 1.3 1.4 1.2 1.2 1.2 1.3 0.1 1.2 1.5 1.3 3.2 0.3 1.8 1.5 1.5 1.4 1.6 1.3 1.5 3.1 1.5 2.1 2.2 2.5 2.3 2.5 2.2 1.0 3.8 1.9 1.7 0.6 3.6
0.753 0.717 0.705 0.715 0.721 0.714 0.702 0.717 0.717 0.698 0.698 0.698 0.700 0.699 0.700 0.716 0.697 0.711 0.710 0.718 0.700 0.703 0.703 0.704 0.703 0.704 0.702 0.701 0.702 0.702 0.701 0.701 0.715 0.701 0.702 0.713 0.700 0.701 0.702 0.703 0.717 0.704 0.705 0.706 0.704 0.704 0.704 0.704 0.694 0.703 0.705 0.704 0.717 0.692 0.707 0.705 0.705 0.704 0.705 0.703 0.704 0.716 0.703 0.707 0.708 0.710 0.709 0.710 0.707 0.699 0.719 0.705 0.703 0.695 0.717
0.717 0.698 0.698 0.698 0.698 0.700 0.700 0.710 0.710 0.709 0.709 0.708 0.708 0.708 0.708 0.708 0.708 0.708 0.708 0.708 0.707 0.707 0.707 0.707 0.707 0.707 0.707 0.706 0.706 0.706 0.705 0.704 0.704 0.704 0.687 0.687 0.687 0.687 0.687 0.687 0.687 0.687 0.686 0.686 0.686 0.686 0.686 0.686 0.686 0.686 0.685 0.685 0.685 0.685 0.685 0.685 0.685 0.685 0.685 0.685 0.684 0.684 0.684 0.684 0.684 0.684 0.684 0.684 0.683 0.683 0.683 0.683 0.683 0.683 0.683
(continued on next page)
436
D.B. Miracle / Acta Materialia 98 (2015) 433–436
Table 1 (continued)
* #
X
a
fa
~r X
R
hZi
^ SX
Sa
SX
KhZi 0 (pm)
Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu Zr Zr Zr Zr Zr Zr Zr
Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Zr Fe Ni Pd Pd Pd Pd Si
0.346 # 0.34 # 0.34 # 0.335 # 0.324 # 0.322 # 0.32 # 0.319 # 0.315 # 0.312 # 0.31 # 0.3 # 0.3 # 0.3 0.3 0.3 0.3 0.33 0.35 0.15
130 129 129 129 129 129 129 129 129 129 129 128 128 157 157 157 157 156 156 158
1.220 1.221 1.221 1.223 1.225 1.226 1.226 1.227 1.228 1.228 1.229 1.231 1.231 0.802 0.802 0.906 0.906 0.910 0.913 0.696
h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h16i h10i h10i h12i h12i h12i h12i h9i
16.56 16.58 16.58 16.60 16.65 16.65 16.66 16.67 16.68 16.69 16.70 16.74 16.74 10.03 10.03 12.05 12.05 12.10 12.14 8.85
6.42 6.32 6.32 6.23 6.04 6.01 5.97 5.95 5.88 5.83 5.80 5.62 5.62 4.21 4.21 4.81 4.81 5.31 5.65 1.56
12.14 12.27 12.27 12.37 12.61 12.65 12.69 12.71 12.80 12.86 12.90 13.12 13.12 9.82 9.82 11.23 11.23 10.79 10.49 8.85
548 548 548 547 546 546 546 546 546 546 546 545 545 524 524 562 562 561 560 483
Data are taken from Refs. [21,26]. Systems where the larger atom is the solute, a.
qmeas * (g/cm3) 7.6 7.635 7.83 7.62 7.65 7.625 7.63 7.67 7.66 7.65 7.655 7.63 7.86 6.45 6.71 7.53 7.71 7.9 8.02 6.327
hZi qcalc (g/cm3)
7.49 7.50 7.50 7.51 7.53 7.53 7.53 7.53 7.54 7.55 7.55 7.56 7.56 6.54 6.61 7.20 7.20 7.29 7.35 6.27
DqhZi (%)
Pmeas
Pcalc
1.5 1.8 4.2 1.5 1.6 1.3 1.3 1.8 1.6 1.4 1.4 0.9 3.8 1.4 1.5 4.4 6.6 7.7 8.4 0.9
0.701 0.703 0.720 0.700 0.700 0.697 0.697 0.701 0.699 0.697 0.697 0.692 0.713 0.678 0.698 0.718 0.735 0.743 0.747 0.694
0.682 0.682 0.682 0.682 0.681 0.681 0.680 0.680 0.680 0.680 0.680 0.679 0.679 0.688 0.688 0.686 0.686 0.686 0.685 0.687