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Quantum Mechanical
Analysis of Donor-Acceptor
      Interactions in
Organometallic Complexes
    Research Presentation to Borden Group
                 Denton, TX
               Sept. 23rd, 2009



        “Give me INSIGHT not numbers!”
              - Richard Hamming
                                            1
Outline of Talk


  Donor- acceptor properties of nickel bidendate
  phosphine carbonyls

  Applications to transition metal - sigma complexes
    Nickel dihydrogen complexes
    Osmium methane complexes
  Are all M C close contacts agostic interactions?
  Orbital analysis of a Titanium amide complex -
  Poster




                                                        2
Calculation details


  Nickel carbonyl complexes
    RI-BP86 with def2-TZVP basis set in Turbomole 6.0
  Nickel dihydrogen complexes
    RI-BP86 with def2-TZVP basis set in Turbomole 6.0
    BP86 with Slater basis and ZORA (Nickel only) in ADF

  Osmium methyl hydride complexes
    BB1K and M05-2X with cc-pVTZ on Os-CH4 and
     cc-pVDZ on other atoms in Gaussian03 Rev. E.01
    Douglas-Kroll (SDD) ECP on osmium


                                                            3
Donor- acceptor properties of nickel
         bidendate phosphine complexes

  Electronic and steric properties of unidentate phosphines are
    well known.
      Ni(PR3)(CO)3
      Tolman cone angle for sterics
      C0symm for electronic properties
      Computed parameters comparable

  Bidentate phosphines commonly used in synthetic studies
      Increased steric hindrance
      No thorough study of bidentate series
      Ni[(R2P(CH2)nPR2](CO)2

Tolman W. B.; Chem Rev., 77, 31.
Crabtree, R.H. et al; Inorg. Chem., 40, 5806.                      4
Structures of carbonyl complexes used
                for study




          n=1                 n=2                    n=3

  Distorted tetrahedral
  P-Ni-P angle increases as number of backbone methylenes (n)
   increases

  Cs symmetry for n =1,3
  C2 symmetry for n=2
                                                                 5
Calculated stretching frequencies
                             show discernible trends for R and n
                                                       COsymm (cm-1) for Ni[(R2P(CH2)nPR2](CO)2

                                      # Carbons         tBu       iPr       Et       Me   Ph   H    OMe    CF3     F
                                            1         1984 1987 1994 2000 2001 2023                 2027   2055   2057
                                            2         1977 1983 1989 1996 1997 2020                 2023   2053   2054
                                            3         1972 1979 1984 1991 1992 2014 2018 2048                     2048
                                                                       More electron donating

                                     2060
                                                                                        Calculated frequency trends
                                                                                          generally agree with
Calculated CO stretching frequency




                                                                   dcf3pe
                                     2050

                                     2040
                                                  R² = 0.942
                                                                                          experimental frequency trends
                                     2030

                                                                                        COsymm decreases as R
              (cm-1)




                                     2020

                                     2010                                                 becomes more electron
                                                      dppm
                                     2000
                                             depe       dppe                              donating
                                     1990              dppp
                                                      dmpe
                                     1980                                               COsymm decreases ≈4 cm-1 for
                                                                                          every increase in ‘n’
                                                                                                                         6
                                        1950	
     2000	
      2050	
     2100	
  
                                     Experimental CO stretching frequency
                                                   (cm-1)
Results from the DFT calculations can
be applied to other complexes bearing
        bidentate phosphines

 Nickel dihydrogen    Osmium methane
    complexes            complexes




                                        7
H-H distance in Ni(H2) (PˆP) complexes is
  sensitive to donor/acceptor properties of the
               bidentate phosphine




                Decreasing H-H distance
  Non-linear trend for H-H distance between n=2 and n=1,3

                                                             8
Differences in H-H distance can be
                   explained




                             π



  When R is electron donating (tBu, iPr, etc), increased
  shielding of nuclear charge on Ni raises energy of
  d-orbitals, increases π-backbonding to H2 antibonding
  orbital, increases H-H bond length.

  When R is electron withdrawing (F CF3), the effect is
                                    ,
  exactly opposite, leading to shorter H-H bond length.
                                                            9
Orbital analysis shows correlation between H-H distances
     and type of orbital contributions to Ni-H2 bond




  Electron donating phosphines have large H-H distances
   and a larger π-orbital contribution to the Ni-H2 bond.

  Electron withdrawing phosphines have large     -orbital
   contributions.                                            10
Orbital analysis of Ni-H2 complexes
         complements with CO




  Complexes with larger COsymm have large component.
  Complexes with smaller COsymm have large π component.
                                                    11
Search for stable methane coordination complexes
                                                   +


                                         +

                                             +

                           +




   Barrier (energy of 1‡) can be measured experimentally.
   It is known that when R=Me, E2 > E1 but E2 < E3+CH4
   Alter ancillary ligands to lower energy of methane tautomer
     (2) relative to methyl hydride (1) and dissociation (3 +CH4)
Girolami, G.S.; JACS, 1999, 111, 4114.                              12
Calculations of Energy of 1‡ relative to 1
  are in good agreement with experiment
                                     C5Me5         C5Me4H*       C5H4Me*           C 5H 5
   ΔG‡, kcal mol-1 (-100°C)         8.1 ± 0.1      8.6 ± 0.1      8.4 ± 0.1     8.1 ± 0.1
   BB1K                                6.4            6.4            7.2            6.7
   M05-2X                              7.1            7.6            7.2            7.2


  Changing the substituents on the
     Cp ring has little effect on the                                               +
     energetics.

  What about changing the
     substituents on the bidentate
     phosphine?

* Two rotameric isomers calculated for C5H4Me where the most sterically hindered isomer is 0.5
kcal/mol higher than the less sterically hindered isomer. We expect similar trends for C5Me4H
Electronic information can be gained
               from CO frequencies
  For electronic comparisons,                                                                       +
     calculate the vibrational
     frequency of a CO complex
     with the ligand set
                                                           2060

      CO from M05-2X
                                                                                                              CF3

                           COsymm for Ni(R2PCH2PR2)(CO)2
                                                           2050
                                                                          R² = 0.97
     corresponds closely
                                                           2040

                                                           2030
                                       (cm-1)                                                  H
     to CO for Ni with                                     2020


     some bidentate
                                                           2010
                                                                     Me
                                                           2000              Ph
     complexes                                             1990
                                                              2080    2100       2120      2140      2160      2180
                                                                      COsymm for Os(C5H5)(R2PCH2PR2) (cm-1)



                                                                                                              14
Methane tautomer (2) becomes more stable
       than methyl hydride tautomer (1) as
        phosphine becomes less donating
                      6.0      M05-2X                BB1K                                   +                 +
                               Me2PCH2PMe2                   Me2PCH2PMe2
                      4.0

                                                               Ph2PCH2PPh2
E1-E2 (kcal mol-1)




                                 Me2PCF2PMe2
                      2.0                                        Me2PCF2PMe2
                                Ph2PCH2PPh2
                                          H2PCH2PH2                    H2PCH2PH2
                      0.0
                                               H2PCF2PH2                     H2PCF2PH2
                     -2.0                     (CF3)2PCH2P(CF3)2
                                                                                (CF3)2PCH2P(CF3)2
                                                    (CF3)2PCF2P(CF3)2
                     -4.0                                                                (CF3)2PCF2P(CF3)2
                                                           R² = 0.86                   R² = 0.99
                     -6.0
                        2025   2050   2075   2100   2125 2150     2175   2200   2225     2250
                                              COsymm   (cm-1)

  Electron poor ligands (F CF3) favor the methane
                           ,
                     tautomer (2) while electron rich ligands favor the
                     methyl hydride (1)
                                                                                                             15
Summary


  Computed Tolman parameters for bidentate phosphines show
  trends generallly similar to unidentate phosphines.
  The carbonyl stretching frequency of Ni(CO)(P^P) is strongly
  affected by the number of carbons in the backbone while the
  H-H distance in Ni(H2)(P^P) is weakly affected.
  Energy decomposition analysis showed that the H-H distance
  increased as the π contribution to the Ni-H2 bond increased.
  Electron poor R groups such as CF3 favor    -donation into the
  H-H bond, thus stabilizing the H2 complex.
  A methane tautomer can be stabilized relative to a methyl
  hydride tautomer with bidentate phosphines bearing electron
  withdrawing CF3 groups.



                                                               16
Acknowledgments
  Frenking Group                           Girolami Group




             Dunning Group (sorry no photo)
                              Computational Support
          $$$$
German - American Fulbright   Hochschulrechenzentrum
       Commission              of Phillips Universität

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Quantum Mechanical Insights into Organometallic Complexes

  • 1. Quantum Mechanical Analysis of Donor-Acceptor Interactions in Organometallic Complexes Research Presentation to Borden Group Denton, TX Sept. 23rd, 2009 “Give me INSIGHT not numbers!” - Richard Hamming 1
  • 2. Outline of Talk   Donor- acceptor properties of nickel bidendate phosphine carbonyls   Applications to transition metal - sigma complexes   Nickel dihydrogen complexes   Osmium methane complexes   Are all M C close contacts agostic interactions? Orbital analysis of a Titanium amide complex - Poster 2
  • 3. Calculation details   Nickel carbonyl complexes   RI-BP86 with def2-TZVP basis set in Turbomole 6.0   Nickel dihydrogen complexes   RI-BP86 with def2-TZVP basis set in Turbomole 6.0   BP86 with Slater basis and ZORA (Nickel only) in ADF   Osmium methyl hydride complexes   BB1K and M05-2X with cc-pVTZ on Os-CH4 and cc-pVDZ on other atoms in Gaussian03 Rev. E.01   Douglas-Kroll (SDD) ECP on osmium 3
  • 4. Donor- acceptor properties of nickel bidendate phosphine complexes   Electronic and steric properties of unidentate phosphines are well known.   Ni(PR3)(CO)3   Tolman cone angle for sterics   C0symm for electronic properties   Computed parameters comparable   Bidentate phosphines commonly used in synthetic studies   Increased steric hindrance   No thorough study of bidentate series   Ni[(R2P(CH2)nPR2](CO)2 Tolman W. B.; Chem Rev., 77, 31. Crabtree, R.H. et al; Inorg. Chem., 40, 5806. 4
  • 5. Structures of carbonyl complexes used for study n=1 n=2 n=3   Distorted tetrahedral   P-Ni-P angle increases as number of backbone methylenes (n) increases   Cs symmetry for n =1,3   C2 symmetry for n=2 5
  • 6. Calculated stretching frequencies show discernible trends for R and n COsymm (cm-1) for Ni[(R2P(CH2)nPR2](CO)2 # Carbons tBu iPr Et Me Ph H OMe CF3 F 1 1984 1987 1994 2000 2001 2023 2027 2055 2057 2 1977 1983 1989 1996 1997 2020 2023 2053 2054 3 1972 1979 1984 1991 1992 2014 2018 2048 2048 More electron donating 2060   Calculated frequency trends generally agree with Calculated CO stretching frequency dcf3pe 2050 2040 R² = 0.942 experimental frequency trends 2030   COsymm decreases as R (cm-1) 2020 2010 becomes more electron dppm 2000 depe dppe donating 1990 dppp dmpe 1980   COsymm decreases ≈4 cm-1 for every increase in ‘n’ 6 1950   2000   2050   2100   Experimental CO stretching frequency (cm-1)
  • 7. Results from the DFT calculations can be applied to other complexes bearing bidentate phosphines Nickel dihydrogen Osmium methane complexes complexes 7
  • 8. H-H distance in Ni(H2) (PˆP) complexes is sensitive to donor/acceptor properties of the bidentate phosphine Decreasing H-H distance   Non-linear trend for H-H distance between n=2 and n=1,3 8
  • 9. Differences in H-H distance can be explained π   When R is electron donating (tBu, iPr, etc), increased shielding of nuclear charge on Ni raises energy of d-orbitals, increases π-backbonding to H2 antibonding orbital, increases H-H bond length.   When R is electron withdrawing (F CF3), the effect is , exactly opposite, leading to shorter H-H bond length. 9
  • 10. Orbital analysis shows correlation between H-H distances and type of orbital contributions to Ni-H2 bond   Electron donating phosphines have large H-H distances and a larger π-orbital contribution to the Ni-H2 bond.   Electron withdrawing phosphines have large -orbital contributions. 10
  • 11. Orbital analysis of Ni-H2 complexes complements with CO   Complexes with larger COsymm have large component.   Complexes with smaller COsymm have large π component. 11
  • 12. Search for stable methane coordination complexes + + + +   Barrier (energy of 1‡) can be measured experimentally.   It is known that when R=Me, E2 > E1 but E2 < E3+CH4   Alter ancillary ligands to lower energy of methane tautomer (2) relative to methyl hydride (1) and dissociation (3 +CH4) Girolami, G.S.; JACS, 1999, 111, 4114. 12
  • 13. Calculations of Energy of 1‡ relative to 1 are in good agreement with experiment C5Me5 C5Me4H* C5H4Me* C 5H 5 ΔG‡, kcal mol-1 (-100°C) 8.1 ± 0.1 8.6 ± 0.1 8.4 ± 0.1 8.1 ± 0.1 BB1K 6.4 6.4 7.2 6.7 M05-2X 7.1 7.6 7.2 7.2   Changing the substituents on the Cp ring has little effect on the + energetics.   What about changing the substituents on the bidentate phosphine? * Two rotameric isomers calculated for C5H4Me where the most sterically hindered isomer is 0.5 kcal/mol higher than the less sterically hindered isomer. We expect similar trends for C5Me4H
  • 14. Electronic information can be gained from CO frequencies   For electronic comparisons, + calculate the vibrational frequency of a CO complex with the ligand set 2060   CO from M05-2X CF3 COsymm for Ni(R2PCH2PR2)(CO)2 2050 R² = 0.97 corresponds closely 2040 2030 (cm-1) H to CO for Ni with 2020 some bidentate 2010 Me 2000 Ph complexes 1990 2080 2100 2120 2140 2160 2180 COsymm for Os(C5H5)(R2PCH2PR2) (cm-1) 14
  • 15. Methane tautomer (2) becomes more stable than methyl hydride tautomer (1) as phosphine becomes less donating 6.0 M05-2X BB1K + + Me2PCH2PMe2 Me2PCH2PMe2 4.0 Ph2PCH2PPh2 E1-E2 (kcal mol-1) Me2PCF2PMe2 2.0 Me2PCF2PMe2 Ph2PCH2PPh2 H2PCH2PH2 H2PCH2PH2 0.0 H2PCF2PH2 H2PCF2PH2 -2.0 (CF3)2PCH2P(CF3)2 (CF3)2PCH2P(CF3)2 (CF3)2PCF2P(CF3)2 -4.0 (CF3)2PCF2P(CF3)2 R² = 0.86 R² = 0.99 -6.0 2025 2050 2075 2100 2125 2150 2175 2200 2225 2250 COsymm (cm-1)   Electron poor ligands (F CF3) favor the methane , tautomer (2) while electron rich ligands favor the methyl hydride (1) 15
  • 16. Summary   Computed Tolman parameters for bidentate phosphines show trends generallly similar to unidentate phosphines.   The carbonyl stretching frequency of Ni(CO)(P^P) is strongly affected by the number of carbons in the backbone while the H-H distance in Ni(H2)(P^P) is weakly affected.   Energy decomposition analysis showed that the H-H distance increased as the π contribution to the Ni-H2 bond increased.   Electron poor R groups such as CF3 favor -donation into the H-H bond, thus stabilizing the H2 complex.   A methane tautomer can be stabilized relative to a methyl hydride tautomer with bidentate phosphines bearing electron withdrawing CF3 groups. 16
  • 17. Acknowledgments Frenking Group Girolami Group Dunning Group (sorry no photo) Computational Support $$$$ German - American Fulbright Hochschulrechenzentrum Commission of Phillips Universität