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Supporting Information for Single-molecule magnet behavior in 2,2 -bipyrimidinebridged dilanthanide complexes Wen Yu 1*, Frank Schramm 1, Eufemio Moreno Pineda 1, Yanhua Lan 2, Olaf Fuhr 1, Jinjie Chen 3, Hironari Isshiki 3, Wolfgang Wernsdorfer 2, Wulf Wulfhekel 3, and Mario Ruben 1,4* Address: 1 Institute of Nanotechnology (INT), Karlsruhe Institute of Technology (KIT), Hermann-von-Helmholtz-Platz 1, D-76344 Eggenstein-Leopoldshafen, Germany, 2 Université Grenoble Alpes / CNRS, Institut NEEL, 25 rue des Martyrs, F-38000 Grenoble, France, 3 Physikalisches Institut (PI), Karlsruhe Institute of Technology (KIT), Wolfgang-Gaede-Str. 1, D-76131 Karlsruhe, Germany, and 4 Institut de Physique et Chimie des Matériaux de Strasbourg (IPCMS), CNRS-Université de Strasbourg, 23 rue du Loess, BP 43, F-67034 Strasbourg Cedex 2, France Email: WenYu - wen.yu@kit.edu; Mario Ruben - mario.ruben@kit.edu * Corresponding author S1

Additional Experimental Information Contents Table S1: Sublimation points, the chemical shift δ and IR spectra peaks of 1 5. 3 Table S2: Selected bond lengths [Å] and angles [º] for 1 5. 4 Table S3: Continuous shaped measures (CShM) for {Ln 2 } obtained using SHAPE. 5 Figure S1: Views of the coordination polyhedra surrounding the lanthanide ions. Color code used: grey for bipyrimidine ligand, green, pink, orange and dark blue for the respective tmhd ligands.... 6 Figure S2: χ M (ν), χ M (v) and χ M T(v) for 3 at zero DC field. Solid lines represent the fittings.... 7 Figure S3: χ M (v) for compound 5 at 2 K from 0 to 5 kg (solid lines are guide for the eye).... 8 Figure S4: Hysteresis loops observed in the M β as a function of applied magnetic field (H).... 8 Figure S5: Magnetization vs. field on a single crystal of Tb 2 complex 2 at 0.03 K with different field sweep rates (left) and at a 0.07 T/s sweep rate in the 0.03-5 K temperature range.... 9 Figure S6: Magnetization vs field on a single crystal of Er 2 complex 5 at 0.03 K with different field sweep rates (left) and at a 0.14 T/s sweep rate in the 0.03 5 K temperature range.... 10 S2

Table S1: Sublimation points, the chemical shift δ and IR spectra peaks of 1 5. Formula 1 [Gd(thmd) 3 ] 2 bpm 2 [Tb(thmd) 3 ] 2 bpm 3 [Dy(thmd) 3 ] 2 bpm 4 [Ho(thmd) 3 ] 2 bpm 5 [Er(thmd) 3 ] 2 bpm Sublimation point / C 167 (1*10-3 mbar) 188 (6*10-2 mbar) 165 (1*10-3 mbar) 180 (2.5*10-2 mbar) 160 (4*10-3 mbar) 1 H NMR (500 MHz, CDCl 3, 298 K) δ / IR (KBr disk) / cm -1 ppm H-1 H-2 Methin t-bu ν(c=o) ν(c=c) ν(bpm) a 16.19-15.20 a 6.56-5.75 1.30 1.18 1576 1507 1420-0.74 1.20 1576 1507 1420 20.03 6.00-2.77 1.17 1576 1507 1421 40.32 b 27.48-23.37-28.64 - -30.99 1576 1507 1424 1.16 1577 1507 1425 H-2 H-1 H-2 O N N O Ln Ln O N N O 3 3 a These resonances are broadened beyond detection. b The chemical shifts couldn t be detected. S3

Table S2: Selected bond lengths [Å] and angles [º] for 1 5. 1 Distance / Å 2 Distance / Å 3 Distance / Å 4 Distance / Å 5 Distance / Å Gd1-O1 2.363(3) Tb1-O1 2.337(2) Dy1-O1 2.330(2) Ho1-O1 2.326(3) Er1-O1 2.293(4) Gd1-O2 2.318(3) Tb1-O2 2.307(2) Dy1-O2 2.294(2) Ho1-O2 2.290(3) Er1-O2 2.280(4) Gd1-O3 2.277(3) Tb1-O3 2.343(2) Dy1-O3 2.296(2) Ho1-O3 2.244(4) Er1-O3 2.269(4) Gd1-O4 2.322(3) Tb1-O4 2.305(2) Dy1-O4 2.260(2) Ho1-O4 2.285(4) Er1-O4 2.241(4) Gd1-O5 2.321(3) Tb1-O5 2.265(2) Dy1-O5 2.293(2) Ho1-O5 2.288(4) Er1-O5 2.296(4) Gd1-O6 2.352(3) Tb1-O6 2.307(2) Dy1-O6 2.324(2) Ho1-O6 2.310(3) Er1-O6 2.292(4) Gd1-N1 2.631(4) Tb1-N1 2.599(2) Dy1-N1 2.581(2) Ho1-N1 2.593(4) Er1-N1 2.587(4) Gd1-N3 2.613(4) Tb1-N2 2.616(2) Dy1-N2 2.604(2) Ho1-N3 2.588(5) Er1-N2 2.578(4) Gd2-O7 2.344(3) Ho2-O7 2.302(3) Gd2-O8 2.326(3) Ho2-O8 2.288(3) Gd2-O9 2.285(3) Ho2-O9 2.252(4) Gd2-O10 2.331(3) Ho2-O10 2.301(4) Gd2-O11 2.321(3) Ho2-O11 2.284(4) Gd2-O12 2.349(3) Ho2-O12 2.308(3) Gd2-N2 2.631(4) Ho2-N2 2.590(5) Gd2-N4 2.657(4) Ho2-N4 2.618(4) 1 Angles / º 2 Angles / º 3 Angles / º 4 Angles / º 5 Angles / º O1-Gd1-O2 71.6(1) O1-Tb1-O2 72.70(5) O1-Dy1-O2 72.57(7) O1-Ho1-O2 72.6(1) O1-Er1-O2 73.2(1) O3-Gd1-O4 73.0(1) O3-Tb1-O4 72.20(5) O3-Dy1-O4 74.13(7) O3-Ho1-O4 73.9(1) O3-Er1-O4 74.4(1) O5-Gd1-O6 72.4(1) O5-Tb1-O6 73.76(6) O5-Dy1-O6 72.95(7) O5-Ho1-O6 73.5(1) O5-Er1-O6 72.9(1) N1-Gd1-N3 61.7(1) N1-Tb1-N2 62.07(5) N1-Dy1-N2 62.37(7) N1-Ho1-N3 62.5(1) N1-Er1-N2 62.6(1) O7-Gd2-O8 71.9(1) O7-Ho2-O8 73.1(1) O9-Gd2-O10 73.2(1) O9-Ho2-O10 73.3(1) O11-Gd2-O12 72.2(1) O11-Ho2-O12 73.4(1) N2-Gd2-N4 61.0(1) N2-Ho2-N4 62.2(1) S4

Table S3: Continuous shaped measures (CShM) for {Ln 2 } obtained using SHAPE. CShM Gd(1) Gd(2) Tb(1) Tb(2) Dy(1) Dy(2) Ho(1) Ho(2) Er(1) Er(2) OP-8 35.832 30.374 30.219 30.219 30.205 30.205 30.263 30.151 29.855 46.201 HPY-8 23.057 22.242 22.339 22.339 22.442 22.442 22.328 22.549 22.330 36.352 HBPY-8 21.536 14.987 15.442 15.442 15.407 15.407 15.442 14.886 15.998 33.333 CU-8 15.995 8.231 8.851 8.851 8.796 8.796 8.460 8.218 9.076 31.299 SAPR-8 8.338 0.741 0.621 0.621 0.605 0.605 0.671 0.664 0.534 25.852 TDD-8 9.822 2.341 2.407 2.407 2.375 2.375 2.180 2.361 2.331 27.145 JGBF-8 19.999 15.997 16.085 16.085 16.138 16.138 16.572 15.786 16.555 33.117 JETBPY-8 22.099 27.493 27.490 27.490 27.633 27.633 28.002 27.740 28.138 39.774 OP-8 = (D 8h ) Octagon HPY-8 = (C 7v ) Heptagonal pyramid HBPY-8 = (D 6h ) Hexagonal bipyramid CU-8 = (O h ) Cube SAPR-8 = (D 4d ) Square antiprism TDD-8 = (D 2d ) Triangular dodecahedron JGBF-8 = (D 2d ) Johnson gyrobifastigium J26 JETBPY-8 = (D 3h ) Johnson elongated triangular bipyramid J14 JBTPR-8 = (C 2v ) Biaugmented trigonal prism J50 BTPR-8 = (C 2v ) Biaugmented trigonal pris JSD-8 = (D 2d ) Snub diphenoid J84 TT-8 = (T d ) Triakis tetrahedron ETBPY-8 = (D 3h ) Elongated trigonal bipyramid S5

Figure S1: Views of the coordination polyhedra surrounding the lanthanide ions. Color code used: grey for bipyrimidine ligand, green, pink, orange and dark blue for the respective tmhd ligands. S6

Figure S2: χ M (ν), χ M (v) and χ M T(v) for 3 at zero DC field. Solid lines represent the fittings. S7

Figure S3: χ M (v) for compound 5 at 2 K from 0 to 5 kg (solid lines are guide for the eye). 0.0003 T / s Figure S4: Hysteresis loops observed in the M β as a function of applied magnetic field (H). S8

Figure S5: Magnetization vs. field on a single crystal of Tb 2 complex 2 at 0.03 K with different field sweep rates (left) and at a 0.07 T/s sweep rate in the 0.03-5 K temperature range. S9

Figure S6: Magnetization vs field on a single crystal of Er 2 complex 5 at 0.03 K with different field sweep rates (left) and at a 0.14 T/s sweep rate in the 0.03 5 K temperature range. S10