Electronic Supplementary Information DFT Characterization on the Mechanism of Water Splitting Catalyzed by Single-Ru-substituted Polyoxometalates

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1 Electronic Supplementary Information DFT Characterization on the Mechanism of Water Splitting Catalyzed by Single-Ru-substituted Polyoxometalates Zhong-Ling Lang, Guo-Chun Yang, Na-Na Ma, Shi-Zheng Wen, Li-Kai Yan, Wei Guan* and Zhong-Min Su* Institute of Functional Material Chemistry, Faculty of Chemistry, Northeast Normal University, Changchun , People s Republic of China The material enclosed in the electronic supplementary information is organized as following: 1. Important HOMOs and LUMOs for [Ru III (H 2 O)SiW 11 O 39 ] 5 (1) complex computed at the B3LYP level in gas phase. (Fig. S1, page S2) 2. Important HOMOs and LUMOs for [Ru IV (H 2 O)SiW 11 O 39 ] 4 (2) complex computed at the B3LYP level in gas phase. (Fig. S2, page S2) 3. The two highest singly occupied π* molecular orbitals and the spin density distribution of [Ru IV -(OO)-POM] 6. (Fig. S3, page S3) 4. Calculated Mulliken atomic charges (e) of the Ru, O a, O w atoms in pathways a, b, and c. (Table S1, page S3) 5. Calculated energy profile for the O O bond formation by pathway a, b, and c. The relative energies with solvation correction at M06(SMD)[6-311+g ** /LANL2DZ(W, Ru)] level are given in kcal/mol. (Fig. S4, page S4) 6. The calculated relative energy of some important intermediates in different spin states at B3LYP(SMD)[6-311+g ** /LANL2DZ(W, Ru)] level. (Table S2, page S5) 7. The Cartesian coordinates (xyz) for all optimized structures are presented. (page S5-S44) 8. The complete reference 37. (page S44) S1

2 Fig. S1 Important HOMOs and LUMOs for [Ru III (H 2 O)SiW 11 O 39 ] 5- (1) complex computed at the B3LYP level in gas phase. Fig. S2 Important HOMOs and LUMOs for [Ru IV (H 2 O)SiW 11 O 39 ] 4- (2) complex computed at the B3LYP level in gas phase. S2

3 Fig. S3 The two highest singly occupied π* molecular orbitals and the spin density distribution of [Ru IV (OO)SiW 11 O 39 ] 6 (5). Table S1 Calculated Mulliken atomic charges (e) of the Ru, O a, O w atoms in pathways a, b, and c charge atom 3 a/b/c TS1 a/b/c 4H a/b/c Ru pathway a O a O w Ru pathway b O a O w Ru pathway c O a O w S3

4 Fig. S4 Calculated energy profile for the O-O bond formation by pathways a, b, and c. The relative energies with solvation correction at UM06(SMD)/[6-311+g**/LANL2DZ(W, Ru)] level are given in kcal/mol. S4

5 Table S2 The Calculated relative energy of some important intermediates in different spin states at B3LYP(SMD)[6-311+g ** /LANL2DZ(W, Ru)] level. complex Spin state Relative energy (kcal/mol) 3 Doublet 0.00 Quartet Doublet 0.00 Quartet Triplet 0.00 BS Singlet Singlet 9.43 Quintet Singlet -η Quartet 0.00 Doublet Sextet Doublet -η Optimized coordinates (xyz) optimized in gas phase 1([Ru III (H 2 O)SiW 11 O 39 ] 5- ) (Multiplicity = 2) 55 O Si O O Ru O W O W O W O O O W O W O O W O S5

6 O O W O W O W O O O O O O W O O O O W O O O O O O O O O O O O O H H ([Ru IV (H 2 O)SiW 11 O 39 ] 4- ) (Multiplicity = 3) 55 O Si O O Ru O W S6

7 O W O W O O O W O W O O W O O O W O W O W O O O O O O W O O O O W O O O O O O O O O O O S7

8 O O H H ([Ru V (O a )SiW 11 O 39 ] 5- ) (Multiplicity = 2) 53 O O O O W W W W W W W W W W W O O O O O O O O O O O O O O O O O O O O O O S8

9 O O O O O O O O O O O O O Si Ru O (Multiplicity = 2) 55 O O O O W W W W W W W W W W W O O O O O O O O O O S9

10 O O O O O O O O O O O O O O O O O O O O O O O O O Si Ru O O H a (Multiplicity = 2) 56 O O O O W W W W W W W S10

11 W W W W O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O Si Ru O O H S11

12 H TS1 a (Multiplicity = 2) 56 O O O O W W W W W W W W W W W O O O O O O O O O O O O O O O O O O O O O O O O O S12

13 O O O O O O O O O O Si Ru O O H H H a (Multiplicity = 2) 56 O O O O W W W W W W W W W W W O O O O O O O O O O S13

14 O O O O O O O O O O O O O O O O O O O O O O O O O Si Ru O O H H b (Multiplicity = 2) 56 O O O O W W W W W W S14

15 W W W W W O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O Si Ru O O S15

16 H H TS1 b (Multiplicity = 2) 56 O O O O W W W W W W W W W W W O O O O O O O O O O O O O O O O O O O O O O O O S16

17 O O O O O O O O O O O Si Ru O O H H H b (Multiplicity = 2) 56 O O O O W W W W W W W W W W W O O O O O O O O O S17

18 O O O O O O O O O O O O O O O O O O O O O O O O O O Si Ru O O H H c (Multiplicity = 2) 59 O O O O W W W W W S18

19 W W W W W W O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O Si Ru O S19

20 O H H O H H TS1 c (Multiplicity = 2) 59 O O O O W W W W W W W W W W W O O O O O O O O O O O O O O O O O O O O S20

21 O O O O O O O O O O O O O O O Si Ru O O H H O H H H c (Multiplicity = 2) 59 O O O O W W W W W W W W W W W O O S21

22 O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O Si Ru O O H H O H H ox (Multiplicity = 3) S22

23 55 O O O O W W W W W W W W W W W O O O O O O O O O O O O O O O O O O O O O O O O O O O O S23

24 O O O O O O O Si Ru O O H TS2 (Multiplicity = 3) 55 O O O O W W W W W W W W W W W O O O O O O O O O O O O O O S24

25 O O O O O O O O O O O O O O O O O O O O O Si Ru O O H ox -H 2 O(Multiplicity = 3) 58 O O O O W W W W W W W W W W W S25

26 O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O Si Ru O O H O H H S26

27 TS2' (Multiplicity = 3) 58 O O O O W W W W W W W W W W W O O O O O O O O O O O O O O O O O O O O O O O O O O O S27

28 O O O O O O O O Si Ru O O H O H H ([Ru IV (η 2 -OO)SiW 11 O 39 ] 6- ) (Multiplicity = 1) 54 O O O O W W W W W W W W W W W O O O O O O O O O O S28

29 O O O O O O O O O O O O O O O O O O O O O O O O O Si Ru O O ([Ru IV (η 1 -OO)SiW 11 O 39 ] 6- ) (Multiplicity = 1) 54 O O O O W W W W W W W W S29

30 W W W O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O Si Ru O O [Ru IV (η 1 -OO)SiW 11 O 39 ] 6- (Multiplicity = 3) S30

31 54 O O O O W W W W W W W W W W W O O O O O O O O O O O O O O O O O O O O O O O O O O O O S31

32 O O O O O O O Si Ru O O [Ru IV (η 1 -OO)SiW 11 O 39 ] 6- (Multiplicity = 5) 54 O O O O W W W W W W W W W W W O O O O O O O O O O O O O O O S32

33 O O O O O O O O O O O O O O O O O O O O Si Ru O O ([Ru V (η 2 -OO)SiW 11 O 39 ] 5- ) (Multiplicity = 2) 54 W W W W W W W W W W W O O O O O O S33

34 O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O Ru Si ([Ru V (η 1 -OO)SiW 11 O 39 ] 5- ) (Multiplicity = 2) 54 O O O O S34

35 W W W W W W W W W W W O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O S35

36 O O Si Ru O O ([Ru V (η 1 -OO)SiW 11 O 39 ] 5- ) (Multiplicity = 4) 54 O O O O W W W W W W W W W W W O O O O O O O O O O O O O O O O O O O O S36

37 O O O O O O O O O O O O O O O Si Ru O O ([Ru V (η 1 -OO)SiW 11 O 39 ] 5- ) (Multiplicity = 6) 54 O O O O W W W W W W W W W W W O O O O O O O S37

38 O O O O O O O O O O O O O O O O O O O O O O O O O O O O Si Ru O O TS3 (Multiplicity = 4) 57 O O O O W W W W W S38

39 W W W W W W O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O Si Ru O S39

40 O O H H a (Ge) (Multiplicity = 2) 56 O O O O W W W W W W W W W W W O O O O O O O O O O O O O O O O O O O O O O S40

41 O O O O O O O O O O O O O Ru O O H H Ge TS1 a (Ge) (Multiplicity = 2) 56 O O O O W W W W W W W W W W W O O O O O O O S41

42 O O O O O O O O O O O O O O O O O O O O O O O O O O O O Ru O O H H Ge H a (Ge) (Multiplicity = 2) 56 O O O O W W W S42

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