Theoretical prediction and synthesis of (Cr 2/3 Zr 1/3 ) 2 AlC i-max phase

Supporting Information for: Figure Theoretical prediction and synthesis of (Cr 2/3 Zr 1/3 ) 2 AlC i-max phase Liugang Chen 1 *, Martin Dahlqvist 2, Thomas Lapauw 1,3, Bensu Tunca 1,3, Fei Wang 1, Jun Lu 2, Rahele Meshkian 2, Konstantina Lambrinou 3, Bart Blanpain 1, Jozef Vleugels 1, Johanna Rosen 2* 1 KU Leuven, Department of Materials Engineering, Kasteelpark Arenberg 44, B-3001 Leuven, Belgium 2 Department of Physics, Chemistry, and Biology (IFM), Linköping University, SE-581 83 Linköping, Sweden 3 SCK CEN, Boeretang 200, B2400 Mol, Belgium L.C. and M.D. contributed equally to this work * Corresponding authors. Email: liugang.chen@kuleuven.be (L.C.) and johanna.rosen@liu.se (J.R.) CONTENTS: 1. Prototype structure S2 2. XRD patterns of starting powders S5 3. d-spacings and corresponding 2θ angles S6 4. Magnetic information S9 S1

1. Prototype structure Table S1. Prototype structure, with corresponding structural information, and calculated total energy per formula unit for considered competing phases within present paper. Phase Prototype Pearson symbol Space group Energy (ev/fu) Cr W ci2 Im-3m (229) -9.6430 Cr Cu cf4 Fm-3m (225) -9.2408 Cr Mg hp2 P6 3 /mmc (194) -9.2298 Ti Cu cf4 Fm-3m (225) -7.7062 Ti W ci2 Im-3m (229) -7.6616 Ti Mg hp2 P6 3 /mmc (194) -7.7624 Zr Mg hp2 P6 3 /mmc (194) -8.5469 Zr Cu cf4 Fm-3m (225) -8.5071 Zr W ci2 Im-3m (229) -8.4672 Hf Mg hp2 P6 3 /mmc (194) -9.9549 Hf Cu cf4 Fm-3m (225) -9.8834 Hf W ci2 Im-3m (229) -9.7758 Al Cu cf4 Fm-3m (225) -3.7451 Al Mg hp2 P6 3 /mmc (194) -3.7125 Al W ci2 Im-3m (229) -3.6492 C C (graphite) hp4 P6 3 /mmc (194) -9.2246 Al 4 C 3 Al 4 C 3 hr21 R-3m h (166) -43.3399 Cr 2 Al MoSi 2 ti6 I4/mmm (139) -23.4592 Cr 5 Al 8 Cu 5 Zn 8 ci52 I-43m (217) -79.4286 Cr 4 Al 9 PdAl hr26 R3m (160) -73.7158 Cr 5 Al 21 Cr 5 Al 21 hr26 R3m (160) -129.4717 Cr 7 Al 43 V 7 Al 45 mc104 C2/m (12) -232.3925 Ti 3 Al Mg 3 Cd hp8 P6 3 /mmc (194) -28.1530 TiAl AuCu tp4 P4/mmm (123) -12.3157 TiAl 2 HfGa 2 ti24 I41/amd O2 (141) -16.5376 TiAl 3 TiAl3 ti8 I4/mmm (139) -20.5833 Zr 3 Al AuCu 3 cp4 Pm-3m (221) -30.5845 Zr 3 Al Ni 3 Sn hp8 P6 3 /mmc (194) -30.5249 Zr 2 Al Ni 2 In hp6 P6 3 /mmc (194) -21.9171 Zr 2 Al Al 2 Cu op6 Pnnm (58) -21.7584 Zr 5 Al 3 W 5 Si 3 ti32 I4/mcm (140) -56.9569 Zr 5 Al 3 Mn 5 Si 3 hp16 P6 3 /mcm (193) -56.7989 Zr 3 Al 2 Zr 3 Al 2 tp20 P42/mnm (136) -35.1429 Zr 4 Al 3 Zr 4 Al 3 hp7 P6/mmm (191) -48.6513 Zr 5 Al 4 Ti 5 Ga 4 hp18 P6 3 /mcm (193) -61.4826 ZrAl CrB oc8 Cmcm (63) -13.2312 ZrAl CsCl cp2 Pm-3m (221) -12.8765 Zr 2 Al 3 Zr 2 Al 3 of40 Fdd2 (43) -30.9348 ZrAl 2 MgZn 2 hp12 P6 3 /mmc (194) -17.6571 ZrAl 2 Ni 2 In hp6 P6 3 /mmc (194) -16.6210 ZrAl 3 ZrAl 3 ti16 I4/mmm (139) -21.7339 ZrAl 3 AuCu 3 cp4 Pm-3m (221) -21.6255 ZrAl 6 MnAl 6 os28 Cmcm (63) -32.4254 Hf 2 Al Al 2 Cu op6 Pnnm (58) -24.4161 Hf 5 Al 3 Mn 5 Si 3 hp16 P6 3 /mcm (193) -63.3464 Hf 3 Al 2 Zr 3 Al 2 tp20 P4 2 /mnm (136) -39.0077 Hf 4 Al 3 Zr 4 Al 3 hp7 P6/mmm (191) -53.7990 S2

HfAl CrB oc8 Cmcm (63) -13.9315 Hf 2 Al 3 Zr 2 Al 3 of40 Fdd2 (43) -33.2748 HfAl 2 MgZn 2 hp12 P6 3 /mmc (194) -18.7772 HfAl 3 ZrAl 3 ti16 I4/mmm (139) -22.7757 HfAl 3 TiAl 3 ti8 I4/mmm (139) -22.7370 HfAl 3 AuCu 3 cp4 Pm-3m (221) -22.6629 Hf 2 Al Al 2 Cu op6 Pnnm (58) -24.4161 Cr 23 C 6 Cr 23 C 6 cf116 Fm-3m (225) -279.3407 Cr 3 C Fe 3 C op16 Pnma (62) -38.4634 Cr 7 C 3 Cr 7 C 3 op40 Pnma (62) -96.2272 Cr 3 C 2 Sb 2 S 3 op20 Pnma (62) -47.9107 Ti2C Ca 33 Ge cf48 Fd-3m (227) -26.5832 TiC 0.75 NaCl cf8 Fm-3m (225) -15.9608 TiC 0.875 NaCl cf8 Fm-3m (225) -17.2629 TiC NaCl cf8 Fm-3m (225) -18.5294 TiC NiAs hp4 P63/mmc (194) -18.2598 ZrC 0.875 NaCl cf8 Fm-3m (225) -18.0886 ZrC NaCl cf8 Fm-3m (225) -19.3941 HfC 0.875 NaCl cf8 Fm-3m (225) -19.7245 HfC NaCl cf8 Fm-3m (225) -21.0731 Ti 0.75 Cr 0.25 W ci2 Im-3m (229) -8.1523 Ti 0.50 Cr 0.50 W ci2 Im-3m (229) -8.6265 Ti 0.25 Cr 0.75 W ci2 Im-3m (229) -9.1181 TiCr 2 MgCu 2 cf24 Fd-3m O2 (227) -27.3559 (Ti 0.25 Cr 0.75 )C NaCl cf8 Fm-3m (225) -18.4888 (Ti 0.50 Cr 0.50 )C NaCl cf8 Fm-3m (225) -18.4861 (Ti 0.75 Cr 0.25 )C NaCl cf8 Fm-3m (225) -18.4886 Ti(Al 0.25 Cr 0.75 ) CsCl cp2 Pm-3m (221) -16.0380 Ti(Al 0.50 Cr 0.50 ) CsCl cp2 Pm-3m (221) -14.8601 Ti(Al 0.75 Cr 0.25 ) CsCl cp2 Pm-3m (221) -13.5443 Ti 3 AlC CaTiO 3 cp5 Pm-3m (221) -39.1049 Ti 2 AlC Cr 2 AlC hp8 P6 3 /mmc (194) -31.2061 Ti 3 AlC 2 Ti 3 SiC 2 hp12 P6 3 /mmc (194) -49.8836 Ti 4 AlC 3 Ti 4 AlN 3 hp16 P6 3 /mmc (194) -68.4132 Ti 12 Al 3 C 8 Ti 4 AlN 3 hp46 P6 3 /mcm (193) -194.8696 Ti 5 AlC 4 Ti 5 AlC 4 hp20 P6 3 /mmc (194) -86.9079 Ti 6 AlC 5 Ti 6 AlC 5 hp24 P6 3 /mmc (194) -105.4024 Ti 5 Al 2 C 3 Ti 5 Al 2 C 3 hp30 P3m1 (156) -81.0849 Ti 7 Al 2 C 5 Ti 7 Al 2 C 5 hp42 P6 3 /mmc (194) -118.2952 Cr 3 AlC CaTiO 3 cp5 Pm-3m (221) -42.0260 Cr 2 AlC Cr 2 AlC hp8 P6 3 /mmc (194) -32.9787 Cr 3 AlC 2 Ti 3 SiC 2 hp12 P6 3 /mmc (194) -51.5367 Cr 4 AlC 3 Ti 4 AlN 3 hp16 P6 3 /mmc (194) -70.2047 Ti 12 Al 3 C 8 Ti 4 AlN 3 hp46 P6 3 /mcm (193) -194.8696 Cr 2 TiAlC 2 Cr 2 TiAlC 2 hp12 P6 3 /mmc (194) -51.5250 Ti 2 CrAlC 2 Cr 2 TiAlC 2 hp12 P6 3 /mmc (194) -51.5250 Cr 2 Ti 2 AlC 3 Mo 2 Ti 2 AlC 3 hp16 P6 3 /mmc (194) -70.0253 (Cr 2/3 Ti 1/3 ) 2 AlC (Mo 2/3 Sc 1/3 ) 2 AlC ms48 C2/c (15) -32.5193 ZrCr 2 MgCu2 cf24 Fd-3m O2 (227) -27.9454 Zr(Al 0.25 Cr 0.75 ) 2 MgZn 2 hp12 P6 3 /mmc (194) -25.2690 Zr(Al 0.5 Cr 0.5 ) 2 MgZn 2 hp12 P6 3 /mmc (194) -22.6693 Zr 5 Al 3 C 0.5 Mn 5 Si 3 hp16 P6 3 /mcm (193) -62.3892 S3

Zr 5 Al 3 C Mn 5 Si 3 hp16 P6 3 /mcm (193) -67.7518 Zr 3 Al 3 C 5 Zr 3 Al 3 C 5 hp22 P6 3 /mmc (194) -88.8212 Zr 2 Al 3 C 4 Zr 2 Al 3 C 4 hp18 P6 3 /mmc (194) -69.3565 ZrAl 4 C 4 ZrAl 4 C 4 hp18 P-3m1 (164) -62.7272 Zr 2 Al 4 C 5 Zr 2 Al 4 C 5 hp33 R-3m (166) -82.1074 Zr 3 Al 4 C 6 Zr 3 Al 4 C 6 hp39 R-3m (166) -101.5262 ZrAlC 2 ZrAlC 2 hp24 P6 3 /mmc (194) -31.4873 Zr 3 AlC Re 3 B op20 Cmcm (63) -41.5424 Zr 3 AlC CaTiO 3 cp5 P6 3 /mmc (194) -41.1877 Zr 2 AlC Cr 2 AlC hp8 P6 3 /mmc (194) -32.6554 Cr 2 ZrAlC 2 Cr 2 TiAlC 2 hp12 P6 3 /mmc (194) -51.6951 Ti 2 ZrAlC 2 Cr 2 TiAlC 2 hp12 P6 3 /mmc (194) -51.6341 Cr 2 Zr 2 AlC 3 Mo 2 Ti 2 AlC 3 hp16 P6 3 /mmc (194) -70.7560 (Cr 2/3 Zr 1/3 ) 2 AlC (Mo 2/3 Sc 1/3 ) 2 AlC ms48 C2/c (15) -33.2909 HfCr 2 MgNi 2 hp24 P63/mmc (194) -29.5454 Hf(Al 0.25 Cr 0.75 ) 2 MgZn 2 hp12 P63/mmc (194) -26.7872 Hf(Al 0.5 Cr 0.5 ) 2 MgZn 2 hp12 P63/mmc (194) -24.0844 Hf 3 Al 3 C 5 Zr 3 Al 3 C 5 hp22 P63/mmc (194) -93.6789 Hf 2 Al 3 C 4 Zr 2 Al 3 C 4 hp18 P63/mmc (194) -72.5183 HfAl 4 C 4 ZrAl 4 C 4 hp18 P-3m1 (164) -64.3781 Hf 2 Al 4 C 5 Zr 2 Al 4 C 5 hp33 R-3m (166) -85.4185 Hf 3 Al 4 C 6 Zr 3 Al 4 C 6 hp39 R-3m (166) -106.5092 HfAlC 2 ZrAlC 2 hp24 P6 3 /mmc (194) -33.2221 Hf 3 AlC Re 3 B op20 Cmcm (63) -45.8689 Hf 3 AlC CaTiO 3 cp5 Pm-3m (221) -45.2811 Hf 2 AlC Cr 2 AlC hp8 P6 3 /mmc (194) -35.6828 Hf 3 AlC 2 Ti 3 SiC 2 hp12 P6 3 /mmc (194) -56.8981 Hf 4 AlC 3 Ti 4 AlN 3 hp16 P6 3 /mmc (194) -77.9728 Cr 2 HfAlC 2 Cr 2 TiAlC 2 hp12 P6 3 /mmc (194) -54.9564 Hf 2 ZHrAlC 2 Cr 2 TiAlC 2 hp12 P6 3 /mmc (194) -53.3584 Cr 2 Hf 2 AlC 3 Mo 2 Ti 2 AlC 3 hp16 P6 3 /mmc (194) -74.2170 (Cr 2/3 Hf 1/3 ) 2 AlC (Mo 2/3 Sc 1/3 ) 2 AlC ms48 C2/c (15) -34.2351 S4

Fig. S1. Schematic representation of 10 collinear spin configurations considered for Cr / Zr / AlC in C2/c structure viewed along [010] where the spin direction at each Cr site is represented by a black arrow. Schematics were produced with VESTA 25. 2. XRD patterns of starting powders Fig. S2. XRD patterns of the starting powders of sample Z20 after multidirectional mixing for 24h. S5

3. d-spacings and corresponding 2θ angles Table S2. The d-spacings, corresponding 2θ angles, and relative intensities of the (hkl) reflections generated from the software starting with the lattice parameters from the refinement, together with the measured 2θ angles and relative intensities. h k l 2θ ( ) calculated d (Å) I/I max (%) calculated 2θ ( ) measured I/I max (%) measured 0 0 2 13.733 6.44284 68.05 13.72 56.26 1 1 0 19.731 4.49574 15.19 19.66 3.78-1 1 1 20.127 4.40829 1.73 20.12 2.02 2 0 0 20.127 4.40818 6.68 ---- -2 0 2 21.640 4.10334 0.84 ---- 1 1 1 21.667 4.09826 0.43 ---- -1 1 2 22.737 3.90772 0.04 ---- 1 1 2 25.430 3.49970 2.72 ---- -1 1 3 26.957 3.30482 1.75 ---- 2 0 2 26.980 3.30208 4.79 ---- 0 0 4 27.669 3.22142 22.70 27.66 11.00-2 0 4 30.353 2.94241 9.32 ---- 1 1 3 30.393 2.93864 5.97 30.39 2.18-1 1 4 32.209 2.77694 16.98 32.20 3.24-3 1 1 34.271 2.61442 45.15 34.25 21.56 0 2 0 34.288 2.61315 10.77 ---- -3 1 2 34.983 2.56284 20.27 ---- 3 1 0 35.001 2.56159 33.53 35.00 38.75 0 2 1 35.009 2.56102 33.95 ---- 1 1 4 36.123 2.48453 12.04 36.13 3.73-3 1 3 37.063 2.42363 5.80 ---- 0 2 2 37.096 2.42155 3.00 37.09 2.84 3 1 1 37.097 2.42150 2.30 ---- -1 1 5 38.133 2.35806 3.41 ---- 2 0 4 38.166 2.35609 7.01 ---- -2 2 1 39.863 2.25965 14.15 ---- -4 0 2 40.050 2.24952 5.89 ---- 2 2 0 40.080 2.24787 4.73 ---- -3 1 4 40.331 2.23450 84.18 ---- 0 2 3 40.369 2.23246 96.98 ---- 3 1 2 40.378 2.23200 100.00 40.35 100-2 2 2 40.911 2.20414 2.77 ---- 4 0 0 40.912 2.20409 6.69 ---- 2 2 1 41.548 2.17182 6.74 41.52 3.10 0 0 6 42.038 2.14761 44.49 42.03 21.49-2 0 6 42.340 2.13300 4.18 ---- 1 1 5 42.385 2.13084 5.28 ---- -2 2 3 43.149 2.09487 3.60 ---- S6

-4 0 4 44.104 2.05167 2.04 ---- 2 2 2 44.162 2.04913 0.02 ---- -1 1 6 44.541 2.03258 3.29 ---- -3 1 5 44.571 2.03126 13.26 ---- 0 2 4 44.614 2.02941 13.17 44.60 14.56 3 1 3 44.629 2.02876 11.87 ---- -2 2 4 46.438 1.95386 0.21 ---- 4 0 2 46.467 1.95271 0.33 ---- 2 2 3 47.774 1.90227 0.27 ---- 1 1 6 49.064 1.85526 0.57 ---- -3 1 6 49.598 1.83651 0.67 ---- 0 2 5 49.644 1.83491 1.07 ---- 3 1 4 49.665 1.83420 0.09 ---- -2 2 5 50.624 1.80167 1.01 ---- -1 1 7 51.345 1.77806 0.63 ---- 2 0 6 51.384 1.77680 1.16 ---- -4 0 6 52.158 1.75223 1.24 ---- 2 2 4 52.234 1.74985 0.34 ---- -5 1 2 53.543 1.71013 1.68 ---- -4 2 1 53.561 1.70958 0.35 ---- 1 3 0 53.579 1.70905 0.00 ---- -4 2 2 53.722 1.70484 0.95 ---- -5 1 1 53.723 1.70482 0.06 ---- -1 3 1 53.747 1.70413 0.62 ---- -5 1 3 54.377 1.68586 0.00 ---- 4 2 0 54.414 1.68481 0.03 ---- 1 3 1 54.425 1.68448 0.30 ---- -4 2 3 54.891 1.67129 0.33 ---- 5 1 0 54.910 1.67075 0.14 ---- -1 3 2 54.921 1.67044 0.19 ---- -3 1 7 55.277 1.66053 7.57 ---- 0 2 6 55.325 1.65918 5.51 ---- 3 1 5 55.351 1.65848 11.82 55.39 7.63-2 2 6 55.572 1.65241 0.03 ---- 4 0 4 55.622 1.65104 0.02 ---- -2 0 8 56.067 1.63897 3.81 ---- 1 1 7 56.116 1.63766 0.73 ---- -5 1 4 56.193 1.63560 0.06 ---- 4 2 1 56.248 1.63414 0.04 ---- 1 3 2 56.253 1.63401 0.04 ---- -4 2 4 57.024 1.61372 0.79 ---- -1 3 3 57.059 1.61280 0.70 ---- 5 1 1 57.061 1.61276 1.30 ---- 0 0 8 57.140 1.61071 1.11 ---- 2 2 5 57.417 1.60361 0.24 ---- S7

-1 1 8 58.519 1.57602 4.94 ---- -5 1 5 58.933 1.56593 1.67 ---- 1 3 3 59.002 1.56424 3.75 ---- 4 2 2 59.003 1.56422 0.42 ---- -4 2 5 60.057 1.53927 3.35 ---- -1 3 4 60.097 1.53834 0.07 ---- 5 1 2 60.110 1.53803 2.36 ---- -2 2 7 61.180 1.51367 3.63 ---- -6 0 2 61.360 1.50968 14.24 ---- -3 3 1 61.393 1.50895 28.16 61.41 11.22-3 1 8 61.524 1.50604 8.27 ---- 0 2 7 61.575 1.50491 9.65 ---- 3 1 6 61.605 1.50426 7.15 ---- -3 3 2 61.852 1.49883 0.09 ---- 3 3 0 61.864 1.49858 0.01 ---- -5 1 6 62.523 1.48436 4.10 ---- 1 3 4 62.601 1.48268 0.14 ---- 4 2 3 62.608 1.48254 2.67 ---- -4 0 8 63.146 1.47121 4.32 ---- -6 0 4 63.187 1.47034 3.25 ---- -3 3 3 63.231 1.46943 6.96 63.24 4.65 6 0 0 63.233 1.46939 1.40 ---- 2 2 6 63.236 1.46932 1.58 ---- 3 3 1 63.254 1.46895 5.15 ---- 1 1 8 63.544 1.46295 3.60 ---- -4 2 6 63.915 1.45534 0.85 ---- -1 3 5 63.960 1.45443 4.86 ---- 5 1 3 63.984 1.45394 2.13 ---- -3 3 4 65.497 1.42397 0.27 ---- 3 3 2 65.530 1.42333 1.43 ---- -1 1 9 66.077 1.41288 1.19 ---- 2 0 8 66.121 1.41203 1.26 ---- -5 1 7 66.893 1.39761 0.71 ---- 1 3 5 66.980 1.3960 1.28 ---- 4 2 4 66.992 1.39578 0.33 ---- -2 2 8 67.391 1.38847 2.20 ---- 4 0 6 67.458 1.38726 3.05 ---- -3 1 9 68.305 1.37212 0.41 ---- 0 2 8 68.359 1.37116 0.03 ---- 3 1 7 68.392 1.37057 0.02 ---- -4 2 7 68.533 1.36810 0.59 ---- -6 0 6 68.551 1.36778 4.65 ---- -1 3 6 68.581 1.36725 0.46 ---- -3 3 5 68.604 1.36685 9.76 ---- 5 1 4 68.616 1.36665 0.02 ---- S8

6 0 2 68.639 1.36625 6.06 68.63 4.36 3 3 3 68.648 1.36609 11.9 ---- 2 2 7 69.647 1.34892 6.56 69.64 1.22-2 0 10 71.331 1.32115 0.09 ---- 1 1 9 71.384 1.32029 0.36 ---- -5 1 8 71.988 1.31070 0.43 ---- 1 3 6 72.083 1.30921 0.00 ---- 4 2 5 72.100 1.30895 0.31 ---- -6 2 2 72.210 1.30721 4.77 ---- 0 4 0 72.251 1.30657 5.02 72.25 1.75-3 3 6 72.508 1.30257 0.00 ---- 3 3 4 72.562 1.30175 0.01 ---- -6 2 3 72.629 1.30070 6.88 ---- -6 2 1 72.651 1.30037 8.57 72.66 3.40 0 4 1 72.680 1.29991 6.65 ---- 0 0 10 73.424 1.28857 2.04 ---- -4 2 8 73.863 1.28199 0.14 ---- -6 2 4 73.901 1.28142 0.16 ---- -1 3 7 73.915 1.28122 1.04 ---- 6 2 0 73.944 1.28079 0.06 ---- 5 1 5 73.959 1.28057 0.01 ---- 0 4 2 73.963 1.28051 0.19 ---- -1 1 10 74.067 1.27897 1.27 ---- -2 2 9 74.186 1.27721 5.12 ---- 4. Magnetic information Table S3. Calculated energy and corresponding structural and magnetic information for (Cr 2/3 Zr 1/3 ) 2 AlC when considering different spin configurations. Relaxation performed using the PBE exchange-correlation functional. Spin configuration Space group a (Å) b (Å) c (Å) β ( ) E NM (mev/atom) magnetic moment (µ B / Cr atom) NM 15 9.0049 5.2201 13.2170 103.3539 0 N/A FM 15 9.0074 5.2194 13.2158 103.3636-0.2 0.23 AFM1 X2 goes to the NM state goes to the NM state A2 15 9.0056 5.2205 13.2183 103.3565-0.01 0.03 in-a1 in-a2 in-a3 in-a4 goes to the NM state goes to the NM state goes to the NM state goes to the FM state S9

Table S4. Calculated energy and corresponding structural and magnetic information for (Cr 2/3 Zr 1/3 ) 2 AlC when considering different spin configurations. Relaxation performed using the PBE exchange-correlation functional with +U method where U eff = 1 ev. Spin configuration Space group a (Å) b (Å) c (Å) β ( ) E NM (mev/atom) magnetic moment (µ B / Cr atom) NM 15 9.0036 5.2178 13.2363 103.3530 0 N/A FM 15 9.0404 5.2336 13.2410 103.3060-9.5 0.91 AFM1 15 9.0567 5.2402 13.2924 103.2562-10 1.22 X2 15 9.0618 5.2404 13.2744 103.3700-16 1.27 A2 15 9.0439 5.2289 13.2743 103.1953-7.2 1.02 in-a1 15 9.0089 5.2208 13.2323 103.3549-0.1 0.16 in-a2 15 9.0166 5.2220 13.2366 103.3924-0.7 0.37 in-a3 15 9.0160 5.2216 13.2502 103.3418-1.3 0.53 in-a4 15 9.0052 5.2183 13.2325 103.3535-0.1 0.23 S10