Electronic, Crystal Chemistry, and Nonlinear Optical Property Relationships. or W, and D = P or V)

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1 Electronic, Crystal Chemistry, and Nonlinear Optical Property Relationships in the Dugganite A 3 B 3 CD 2 O 14 Family (A = Sr, Ba or Pb; B = Mg or Zn; C = Te or W, and D = P or V) Hongwei Yu, Joshua Young, Hongping Wu, Weiguo Zhang James M. Rondinelli, *, and P. Shiv Halasyamani *, Department of Chemistry, University of Houston, 112 Fleming Building, Houston, Texas , United States Department of Materials Science and Engineering, Northwestern University, 2220 Campus Drive, Evanston, IL , United States CONTENTS 1. Table S1 (Atomic coordinates, displacement parameters and BVS)... S2 2. Table S2 (Selected bond distances and angles)... S3 3. Figure S1 (Experimental and calculated XRD patterns)... S8 4. Figure S2 (The crystal photo and theoretical morphology of Pb 3 Mg 3 TeP 2 O 14 )... S9 5. Figure S3 (The IR spectra)... S10 6. Figure S4 (The computed electron localization function)... S11 7. Figure S5 (The DTA/TG curves)... S12 8. Figure S6 (The XRD patterns of residues after TG/DTA)... S13 S1

2 Table S1. Atomic coordinates ( 10 4 ) and equivalent isotropic displacement parameters (Å ). U eq is defined as one-third of the trace of the orthogonalized U ij tensor. Sr 3 Zn 3 TeP 2 O 14 Atom x y z U eq BVS Sr(1) 4315(1) (1) 1.86 Zn(1) 7592(1) (1) 2.12 Te(1) (1) 6.07 P(1) (5) 18(1) 4.97 O(1) 9076(6) 11264(6) 7901(7) 23(1) 1.98 O(2) (13) 22(2) 1.77 O(3) 5142(7) 8239(7) 6610(9) 53(2) 2.09 Ba 3 Zn 3 TeP 2 O 14 Ba(1) 5648(1) 5648(1) (1) 2.12 Te(1) (1) 5.95 Zn(1) 7642(1) (1) 1.97 P(1) (4) 9(1) 4.95 O(1) (13) 15(1) 1.98 O(2) 9039(6) 11188(6) 7936(7) 16(1) 1.98 O(3) 5181(6) 8113(6) 6450(8) 16(1) 2.05 Pb 3 Zn 3 TeP 2 O 14 Pb(1) 4079(1) 4079(1) (1) 1.84 Te(1) (1) 6.08 Zn(1) 2502(2) (1) 2.05 P(1) (8) 9(1) 4.94 O(1) 2150(9) 1229(10) 7889(11) 14(2) 2.05 O(2) (20) 18(3) 1.72 O(3) 2032(11) 4757(11) 6566(13) 27(2) 1.98 Pb 3 Zn 3 WP 2 O 14 Pb(1) (1) (1) 1.86 W(1) (1) 6.16 Zn(1) 7491(2) (1) 2.07 P(1) (7) 7(1) 4.74 O(1) 9119(9) 11249(9) 7864(11) 17(1) 2.07 O(2) 9039(6) 11188(6) 7936(7) 16(1) 1.67 O(3) 5181(6) 8113(6) 6450(8) 16(1) 1.95 Pb 3 Zn 3 TeV 2 O 14 Pb(1) 3956(1) 3956(1) (1) 1.94 Te(1) (1) 5.86 Zn(1) (2) (1) 2.03 V(1) (7) 14(1) 5.05 O(1) (30) 26(4) 1.81 O(2) 1241(13) 2111(13) 7880(15) 27(2) 2.05 O(3) 4567(14) 1953(15) 6710(19) 34(2) 1.99 S2

3 Table S2. Selected bond distances (Å) and angles (deg). Sr 3 Zn 3 TeP 2 O 14 Sr(1)-O(1)# (4) O(2)#4-Sr(1)-O(2)# (4) Sr(1)-O(1)# (4) O(1)#1-Sr(1)-O(3)# (15) Sr(1)-O(3)# (5) O(1)#2-Sr(1)-O(3)# (13) Sr(1)-O(3) 2.583(5) O(3)#3-Sr(1)-O(3)# (6) Sr(1)-O(2)# (3) O(3)-Sr(1)-O(3)# (19) Sr(1)-O(2)# (3) O(2)#4-Sr(1)-O(3)# (15) Sr(1)-O(3)# (7) O(2)#5-Sr(1)-O(3)# (16) Sr(1)-O(3)# (7) O(1)#1-Sr(1)-O(3)# (13) Zn(1)-O(1) 1.890(4) O(1)#2-Sr(1)-O(3)# (15) Zn(1)-O(1)# (4) O(3)#3-Sr(1)-O(3)# (19) Zn(1)-O(3)# (4) O(3)-Sr(1)-O(3)# (7) Zn(1)-O(3) 1.994(4) O(2)#4-Sr(1)-O(3)# (16) Te(1)-O(1)# (4) O(2)#5-Sr(1)-O(3)# (15) Te(1)-O(1)# (4) O(3)#6-Sr(1)-O(3)# (18) Te(1)-O(1)# (4) O(1)-Zn(1)-O(1)# (3) Te(1)-O(1)# (4) O(1)-Zn(1)-O(3)# (18) Te(1)-O(1) 1.913(4) O(1)#10-Zn(1)-O(3)# (19) Te(1)-O(1)# (4) O(1)-Zn(1)-O(3) 102.4(2) P(1)-O(2) 1.535(7) O(1)#10-Zn(1)-O(3) (18) P(1)-O(3)# (5) O(3)#10-Zn(1)-O(3) 98.7(4) P(1)-O(3) 1.537(5) O(1)#12-Te(1)-O(1)# (3) P(1)-O(3)# (5) O(1)#12-Te(1)-O(1)# (16) O(1)-Sr(1)# (4) O(1)#13-Te(1)-O(1)# (3) O(2)-Sr(1)# (3) O(1)#12-Te(1)-O(1)# (16) O(2)-Sr(1)# (3) O(1)#13-Te(1)-O(1)#3 83.4(2) O(2)-Sr(1)# (3) O(1)#14-Te(1)-O(1)# (16) O(3)-Sr(1)# (7) O(1)#12-Te(1)-O(1) 83.4(2) O(1)#1-Sr(1)-O(1)# (17) O(1)#13-Te(1)-O(1) 90.93(16) O(1)#1-Sr(1)-O(3)# (15) O(1)#14-Te(1)-O(1) 171.6(3) O(1)#2-Sr(1)-O(3)# (17) O(1)#3-Te(1)-O(1) 95.4(3) O(1)#1-Sr(1)-O(3) (17) O(1)#12-Te(1)-O(1)# (3) O(1)#2-Sr(1)-O(3) (15) O(1)#13-Te(1)-O(1)# (16) O(3)#3-Sr(1)-O(3) 113.6(3) O(1)#14-Te(1)-O(1)# (2) O(1)#1-Sr(1)-O(2)# (11) O(1)#3-Te(1)-O(1)# (3) O(1)#2-Sr(1)-O(2)# (11) O(1)-Te(1)-O(1)# (16) O(3)#3-Sr(1)-O(2)# (15) O(2)-P(1)-O(3)# (2) O(3)-Sr(1)-O(2)# (17) O(2)-P(1)-O(3) 113.5(2) O(1)#1-Sr(1)-O(2)# (11) O(3)#6-P(1)-O(3) 105.1(2) O(1)#2-Sr(1)-O(2)# (10) O(2)-P(1)-O(3)# (2) O(3)#3-Sr(1)-O(2)# (17) O(3)#6-P(1)-O(3)# (2) O(3)-Sr(1)-O(2)# (15) O(3)-P(1)-O(3)# (2) Symmetry transformations used to generate equivalent atoms: S3

4 #1 -x+y,-x+2,z #2 y-1,x,-z+2 #3 x-y+1,-y+2,-z+2 #4 x,y,z+1 #5 y,x+1,-z+1 #6 -y+1,x-y+1,z #7 -x+1,-x+y+1,-z+2 #8 y,x+1,-z+2 #9 x-1,y,z #10 x-y+1,-y+2,-z+1 #11 x,y,z-1 #12 -x+2,-x+y+1,-z+2 #13 -y+2,x-y+1,z #14 y,x,-z+2 #15 -x+y+1,-x+2,z #16 -x+y,-x+1,z #17 x+1,y,z #18 -y+2,x-y+2,z #19 -y+1,x-y+1,z-1 #20 -x+y,-x+1,z-1 Ba 3 Zn 3 TeP 2 O 14 Ba(1)-O(2)# (4) O(1)#5-Ba(1)-O(1)# (4) Ba(1)-O(2)# (4) O(2)#1-Ba(1)-O(3) 79.67(12) Ba(1)-O(3)# (4) O(2)#2-Ba(1)-O(3) 71.66(14) Ba(1)-O(3)# (4) O(3)#3-Ba(1)-O(3) 50.74(17) Ba(1)-O(1)# (3) O(3)#4-Ba(1)-O(3) (4) Ba(1)-O(1)# (3) O(1)#5-Ba(1)-O(3) (15) Ba(1)-O(3) 2.977(4) O(1)#6-Ba(1)-O(3) 73.62(14) Ba(1)-O(3)# (4) O(2)#1-Ba(1)-O(3)# (14) Te(1)-O(2)# (4) O(2)#2-Ba(1)-O(3)# (12) Te(1)-O(2)# (4) O(3)#3-Ba(1)-O(3)# (4) Te(1)-O(2) 1.920(4) O(3)#4-Ba(1)-O(3)# (17) Te(1)-O(2)# (4) O(1)#5-Ba(1)-O(3)# (14) Te(1)-O(2)# (4) O(1)#6-Ba(1)-O(3)# (15) Te(1)-O(2)# (4) O(3)-Ba(1)-O(3)# (17) Zn(1)-O(2)# (4) O(2)#9-Te(1)-O(2)# (3) Zn(1)-O(2) 1.905(4) O(2)#9-Te(1)-O(2) 90.93(17) Zn(1)-O(3)# (4) O(2)#10-Te(1)-O(2) 85.1(2) Zn(1)-O(3) 2.039(4) O(2)#9-Te(1)-O(2)# (17) P(1)-O(1) 1.527(7) O(2)#10-Te(1)-O(2)# (3) P(1)-O(3)# (4) O(2)-Te(1)-O(2)# (17) P(1)-O(3) 1.541(4) O(2)#9-Te(1)-O(2)#7 85.1(2) P(1)-O(3)# (4) O(2)#10-Te(1)-O(2)# (17) O(1)-Ba(1)# (3) O(2)-Te(1)-O(2)# (3) O(1)-Ba(1)# (3) O(2)#2-Te(1)-O(2)#7 93.3(3) O(1)-Ba(1)# (3) O(2)#9-Te(1)-O(2)# (3) O(2)-Ba(1)# (4) O(2)#10-Te(1)-O(2)# (17) O(3)-Ba(1)# (4) O(2)-Te(1)-O(2)#1 93.3(3) O(2)#1-Ba(1)-O(2)# (17) O(2)#2-Te(1)-O(2)#1 85.1(2) O(2)#1-Ba(1)-O(3)# (14) O(2)#7-Te(1)-O(2)# (17) O(2)#2-Ba(1)-O(3)# (13) O(2)#11-Zn(1)-O(2) 138.1(3) O(2)#1-Ba(1)-O(3)# (13) O(2)#11-Zn(1)-O(3)# (18) O(2)#2-Ba(1)-O(3)# (14) O(2)-Zn(1)-O(3)# (17) O(3)#3-Ba(1)-O(3)# (19) O(2)#11-Zn(1)-O(3) (17) O(2)#1-Ba(1)-O(1)# (9) O(2)-Zn(1)-O(3) (18) O(2)#2-Ba(1)-O(1)# (10) O(3)#11-Zn(1)-O(3) 101.8(3) O(3)#3-Ba(1)-O(1)# (13) O(1)-P(1)-O(3)# (17) O(3)#4-Ba(1)-O(1)# (14) O(1)-P(1)-O(3) (17) O(2)#1-Ba(1)-O(1)# (10) O(3)#13-P(1)-O(3) (19) S4

5 O(2)#2-Ba(1)-O(1)# (9) O(1)-P(1)-O(3)# (17) O(3)#3-Ba(1)-O(1)# (14) O(3)#13-P(1)-O(3)# (19) O(3)#4-Ba(1)-O(1)# (13) O(3)-P(1)-O(3)# (19) Symmetry transformations used to generate equivalent atoms: #1 x-y+1,-y+2,-z+2 #2 -y+2,x-y+1,z #3 -x+y,-x+1,z #4 -x+1,-x+y,-z+2 #5 y,x,-z+1 #6 x,y,z+1 #7 y,x,-z+2 #8 -x+y,-x+1,z+1 #9 -x+y+1,-x+2,z #10 -x+2,-x+y+1,-z+2 #11 x-y+1,-y+2,-z+1 #12 -y+1,x-y+1,z-1 #13 -y+1,x-y+1,z #14 x,y,z-1 #15 -x+y,-x+1,z-1 Pb 3 Zn 3 TeP 2 O 14 Pb(1)-O(1) 2.379(7) O(1)#2-Te(1)-O(1)#3 90.4(3) Pb(1)-O(1)# (7) O(1)#1-Te(1)-O(1)# (4) Pb(1)-O(3)# (9) O(1)#2-Te(1)-O(1)#4 95.4(4) Pb(1)-O(3) 2.725(9) O(1)#3-Te(1)-O(1)#4 84.4(4) Te(1)-O(1)# (6) O(1)#1-Te(1)-O(1)#5 95.4(4) Te(1)-O(1)# (6) O(1)#2-Te(1)-O(1)#5 84.4(4) Te(1)-O(1)# (6) O(1)#3-Te(1)-O(1)# (5) Te(1)-O(1)# (6) O(1)#4-Te(1)-O(1)#5 90.4(3) Te(1)-O(1)# (6) O(1)#1-Te(1)-O(1) 84.4(4) Te(1)-O(1) 1.912(6) O(1)#2-Te(1)-O(1) 172.2(4) Zn(1)-O(1) 1.925(6) O(1)#3-Te(1)-O(1) 95.4(4) Zn(1)-O(1)# (6) O(1)#4-Te(1)-O(1) 90.4(3) Zn(1)-O(3)# (7) O(1)#5-Te(1)-O(1) 90.4(3) Zn(1)-O(3)# (7) O(1)-Zn(1)-O(1)# (4) P(1)-O(2) 1.518(12) O(1)-Zn(1)-O(3)# (3) P(1)-O(3)# (7) O(1)#6-Zn(1)-O(3)# (3) P(1)-O(3) 1.545(7) O(1)-Zn(1)-O(3)# (3) P(1)-O(3)# (7) O(1)#6-Zn(1)-O(3)# (3) O(1)-Pb(1)-O(1)#1 65.3(3) O(3)#7-Zn(1)-O(3)# (6) O(1)-Pb(1)-O(3)#1 85.4(2) O(2)-P(1)-O(3)# (3) O(1)#1-Pb(1)-O(3)#1 74.0(3) O(2)-P(1)-O(3) 113.6(3) O(1)-Pb(1)-O(3) 74.0(3) O(3)#8-P(1)-O(3) 105.1(3) O(1)#1-Pb(1)-O(3) 85.4(2) O(2)-P(1)-O(3)# (3) O(3)#1-Pb(1)-O(3) 155.7(3) O(3)#8-P(1)-O(3)# (3) O(1)#1-Te(1)-O(1)#2 90.4(3) O(3)-P(1)-O(3)# (3) O(1)#1-Te(1)-O(1)#3 90.4(3) Symmetry transformations used to generate equivalent atoms: #1 y,x,-z+2 #2 -x,-x+y,-z+2 #3 x-y,-y,-z+2 #4 -x+y,-x,z #5 -y,x-y,z #6 x-y,-y,-z+1 #7 y,x,-z+1 #8 -x+y,-x+1,z #9 -y+1,x-y+1,z Pb 3 Zn 3 WP 2 O 14 Pb(1)-O(1) 2.368(6) O(1)#4-W(1)-O(1)#5 97.0(4) Pb(1)-O(1)# (6) O(1)#1-W(1)-O(1)#2 90.0(3) Pb(1)-O(3)# (10) O(1)#4-W(1)-O(1)#2 83.9(4) Pb(1)-O(3)# (10) O(1)#5-W(1)-O(1)#2 90.0(3) W(1)-O(1)# (6) O(1)#1-W(1)-O(1) 83.9(4) S5

6 W(1)-O(1)# (6) O(1)#4-W(1)-O(1) 90.0(3) W(1)-O(1)# (6) O(1)#5-W(1)-O(1) 170.7(4) W(1)-O(1)# (6) O(1)#2-W(1)-O(1) 97.0(4) W(1)-O(1) 1.911(6) O(1)#1-W(1)-O(1)#3 97.0(4) W(1)-O(1)# (6) O(1)#4-W(1)-O(1)#3 90.0(3) Zn(1)-O(1) 1.933(6) O(1)#5-W(1)-O(1)#3 83.9(4) Zn(1)-O(1)# (6) O(1)#2-W(1)-O(1)# (4) Zn(1)-O(3) 1.964(7) O(1)-W(1)-O(1)#3 90.0(3) Zn(1)-O(3)# (7) O(1)-Zn(1)-O(1)# (4) P(1)-O(2) 1.528(12) O(1)-Zn(1)-O(3) 104.7(3) P(1)-O(3)# (7) O(1)#6-Zn(1)-O(3) 102.9(3) P(1)-O(3) 1.563(8) O(1)-Zn(1)-O(3)# (3) P(1)-O(3)# (7) O(1)#6-Zn(1)-O(3)# (3) O(1)-Pb(1)-O(1)#1 65.3(3) O(3)-Zn(1)-O(3)# (6) O(1)-Pb(1)-O(3)#2 85.1(2) O(2)-P(1)-O(3)# (3) O(1)#1-Pb(1)-O(3)#2 74.0(2) O(2)-P(1)-O(3) 113.1(3) O(1)-Pb(1)-O(3)#3 74.0(2) O(3)#7-P(1)-O(3) 105.6(3) O(1)#1-Pb(1)-O(3)#3 85.1(2) O(2)-P(1)-O(3)# (3) O(3)#2-Pb(1)-O(3)# (3) O(3)#7-P(1)-O(3)# (3) O(1)#1-W(1)-O(1)# (4) O(3)-P(1)-O(3)# (3) O(1)#1-W(1)-O(1)#5 90.0(3) Symmetry transformations used to generate equivalent atoms: #1 -x+2,-x+y+1,-z+2 #2 x-y+1,-y+2,-z+2 #3 -x+y+1,-x+2,z #4 -y+2,x-y+1,z #5 y,x,-z+2 #6 x-y+1,-y+2,-z+1 #7 -y+1,x-y+1,z #8 -x+y,-x+1,z Pb 3 Zn 3 TeV 2 O 14 Pb(1)-O(2) 2.341(9) O(2)#2-Te(1)-O(2)#3 90.7(4) Pb(1)-O(2)# (9) O(2)#1-Te(1)-O(2) 83.0(5) Pb(1)-O(3) 2.658(11) O(2)#2-Te(1)-O(2) 96.5(6) Pb(1)-O(3)# (11) O(2)#3-Te(1)-O(2) 170.5(6) Te(1)-O(2)# (9) O(2)#1-Te(1)-O(2)# (6) Te(1)-O(2)# (9) O(2)#2-Te(1)-O(2)#4 83.0(5) Te(1)-O(2)# (9) O(2)#3-Te(1)-O(2)#4 96.5(6) Te(1)-O(2) 1.926(9) O(2)-Te(1)-O(2)#4 90.7(4) Te(1)-O(2)# (9) O(2)#1-Te(1)-O(2)#5 96.5(6) Te(1)-O(2)# (9) O(2)#2-Te(1)-O(2)# (6) Zn(1)-O(2) 1.933(8) O(2)#3-Te(1)-O(2)#5 83.0(5) Zn(1)-O(2)# (8) O(2)-Te(1)-O(2)#5 90.7(4) Zn(1)-O(3)# (11) O(2)#4-Te(1)-O(2)#5 90.7(4) Zn(1)-O(3)# (11) O(2)-Zn(1)-O(2)# (6) V(1)-O(1) 1.674(16) O(2)-Zn(1)-O(3)# (4) V(1)-O(3)# (10) O(2)#6-Zn(1)-O(3)# (4) V(1)-O(3) 1.733(10) O(2)-Zn(1)-O(3)# (4) V(1)-O(3)# (10) O(2)#6-Zn(1)-O(3)# (4) O(2)-Pb(1)-O(2)#1 66.1(4) O(3)#7-Zn(1)-O(3)# (7) S6

7 O(2)-Pb(1)-O(3) 73.3(3) O(1)-V(1)-O(3)# (3) O(2)#1-Pb(1)-O(3) 84.8(3) O(1)-V(1)-O(3) 113.4(3) O(2)-Pb(1)-O(3)#1 84.8(3) O(3)#8-V(1)-O(3) 105.3(4) O(2)#1-Pb(1)-O(3)#1 73.3(3) O(1)-V(1)-O(3)# (3) O(3)-Pb(1)-O(3)# (5) O(3)#8-V(1)-O(3)# (4) O(2)#1-Te(1)-O(2)#2 90.7(4) O(3)-V(1)-O(3)# (4) O(2)#1-Te(1)-O(2)#3 90.7(4) Symmetry transformations used to generate equivalent atoms: #1 y,x,-z+2 #2 -x,-x+y,-z+2 #3 x-y,-y,-z+2 #4 -y,x-y,z #5 -x+y,-x,z #6 -x,-x+y,-z+1 #7 y,x,-z+1 #8 -y+1,x-y,z #9 -x+y+1,-x+1,z S7

8 Figure S1 Experimental and calculated X-ray powder diffraction patterns. The curves on the above are the experimental patterns, the underneath curves are the calculated ones. S8

9 Figure S2. The crystal photos of Pb 3 Mg 3 TeP 2 O 14 (a) As-grown Pb 3 Mg 3 TeP 2 O 14 crystal, (b) The calculated morphology of the Pb 3 Mg 3 TeP 2 O 14 crystal S9

10 Figure S3 The IR infrared spectrum S10

11 Figure S4. The electron localization function (ELF, η = 0.8) computed for (a) SZTP, (b) BZTP, (c) PZWP, (d) PZTV, (e) PMTP, and (f) PZTP. The stereoactive lone pair of the Pb 2+ cations is clearly visible. S11

12 Figure S5 The TG/DTA curves for A 3 B 3 CD 2 O 14 (A=Sr, Ba or Pb; B=Mg or Zn; C=Te or W, D=P or V) compounds. S12

13 Figure S6a. The powder XRD pattern of the residues after TG/DTA for Sr 3 Zn 3 TeP 2 O 14 S13

14 Figure S6b The powder XRD pattern of the residues after TG/DTA for Ba 3 Zn 3 TeP 2 O 14 S14

15 Figure S6c The powder XRD pattern of the residues after TG/DTA for Pb 3 Zn 3 TeP 2 O 14. S15

16 Figure S6d The powder XRD pattern of the residues after TG/DTA for Pb 3 Mg 3 TeP 2 O 14. S16

17 Figure S6e The powder XRD pattern of the residues after TG/DTA for Pb 3 Zn 3 WP 2 O 14. S17

18 Figure S6f The powder XRD pattern of the residues after TG/DTA for Pb 3 Zn 3 TeV 2 O 14. S18

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