Scinovex

Research article · 2024 · Full text

International Journal of Advanced Chemistry Research

TD-DFT study of palladium (II) complexes with 1-(2′-hydroxy-1′-naphthylazo)-2-hydroxynaphthalene ligand

Uday Sankar Agarwalla

Volume 6(2) · Pages 181–187 · DOI: 10.33545/26646781.2024.v6.i2c.242 ↗

Research areasMetal complexes synthesis and propertiesMagnetism in coordination complexesLanthanide and Transition Metal Complexes

↓ Read full-text PDF0 citations

Abstract

Author-written

The electronic structures of the palladium (II) complexes with 1-(2′-hydroxy-1′-naphthylazo)-2-hydroxynaphthalene ligand have been calculated using a TD-DFT (time-dependent density functional theory) model and the simulated spectra of the palladium (II) complexes are in close agreement with the experimental spectra.

Summary

Source-checked

Plain-language reading of the full paper, prepared with AI and checked against the text. Each point links to the authors' own words.

  1. The question

    • The study aims to use time-dependent density functional theory (TD-DFT) calculations to better understand the electronic structure and the nature of spectral transitions in these palladium (II) complexes. View evidence ↗

      The question

      The study aims to use time-dependent density functional theory (TD-DFT) calculations to better understand the electronic structure and the nature of spectral transitions in these palladium (II) complexes.

      In the paper's own words

      “herein we wish to report the TD-DFT calculation for better understanding of the electronic structure of palladium (II) complexes and the nature of spectral transitions.”

      Page 1

      Found in: Introduction

      Read it in the full textOpen PDF at page 1 ↗
  2. What they did

    • The researchers performed calculations using the TD-DFT formalism as implemented in the ADF2007 software. View evidence ↗

      What they did

      The researchers performed calculations using the TD-DFT formalism as implemented in the ADF2007 software.

      In the paper's own words

      “The calculations have been performed within the TD-DFT formalism as implemented in ADF2007”

      Page 1

      Found in: Method and computational details

      Read it in the full textOpen PDF at page 1 ↗
    • The computational method employed LDA with VWN parametrization for the SCF step, Becke and Perdew-Wang gradient corrections for exchange and correlation, and ALDA for the XC kernel in the post-SCF step. View evidence ↗

      What they did

      The computational method employed LDA with VWN parametrization for the SCF step, Becke and Perdew-Wang gradient corrections for exchange and correlation, and ALDA for the XC kernel in the post-SCF step.

      In the paper's own words

      “We used LDA (local density approximation) including the VWN parametrization [9] in the SCF step and Becke [10] and Perdew-Wang [11] gradient corrections to the exchange and correlation respectively and Adiabatic Local Density Approximation (ALDA) for the XC kernel, in the post-SCF step.”

      Page 1

      Found in: Method and computational details

      Read it in the full textOpen PDF at page 1 ↗
    • An uncontracted triple-STO basis set with a polarization function was used for all atoms in the TD-DFT calculations. View evidence ↗

      What they did

      An uncontracted triple-STO basis set with a polarization function was used for all atoms in the TD-DFT calculations.

      In the paper's own words

      “TD-DFT calculations have been performed with the uncontracted triple-STO basis set with a polarization function for all atoms.”

      Page 1

      Found in: Method and computational details

      Read it in the full textOpen PDF at page 1 ↗
    • The optical spectra calculations considered the 70 lowest spin-allowed singlet-singlet transitions. View evidence ↗

      What they did

      The optical spectra calculations considered the 70 lowest spin-allowed singlet-singlet transitions.

      In the paper's own words

      “In the calculation of the optical spectra, 70 lowest spin-allowed singlet-singlet transitions have been taken into account.”

      Page 1

      Found in: Method and computational details

      Read it in the full textOpen PDF at page 1 ↗
    • The effects of the solvent were modeled using the Conductor-Like Screening Model (COSMO) within the ADF software. View evidence ↗

      What they did

      The effects of the solvent were modeled using the Conductor-Like Screening Model (COSMO) within the ADF software.

      In the paper's own words

      “Solvent effects were modelled by the “Conductor-Like Screening Model” (COSMO) [12-13] of solvation as implemented in ADF.”

      Page 1

      Found in: Method and computational details

      Read it in the full textOpen PDF at page 1 ↗
  3. What they found

    • The computed HOMO-LUMO energy gaps were 1.806 eV for complex 1a and 1.971 eV for complex 1b. View evidence ↗

      What they found

      The computed HOMO-LUMO energy gaps were 1.806 eV for complex 1a and 1.971 eV for complex 1b.

      In the paper's own words

      “The HOMO-LUMO gaps in 1a and 1b have been computed to be 1.806 and 1.971 eV respectively.”

      Page 3

      Found in: International Journal of Advanced

      Read it in the full textOpen PDF at page 3 ↗
    • The highest occupied molecular orbitals (HOMOs) for both complexes (80a for 1a and 108a for 1b) are primarily based on the naphtholato fragment of the ligand. View evidence ↗

      What they found

      The highest occupied molecular orbitals (HOMOs) for both complexes (80a for 1a and 108a for 1b) are primarily based on the naphtholato fragment of the ligand.

      In the paper's own words

      “The highest occupied molecular orbitals (HOMOs) of 1a (80a) and 1b (108a) are mostly based on the naphtholato fragment of the ligand, resulting from the combination of the carbon and nitrogen p orbitals.”

      Page 2

      Found in: International Journal of Advanced

      Read it in the full textOpen PDF at page 2 ↗
    • The lowest unoccupied molecular orbitals (LUMOs) for 1a (81a) and 1b (109a) are mostly concentrated on the naphthaloto fragment of the ligand, showing minimal contribution from palladium d-orbitals. View evidence ↗

      What they found

      The lowest unoccupied molecular orbitals (LUMOs) for 1a (81a) and 1b (109a) are mostly concentrated on the naphthaloto fragment of the ligand, showing minimal contribution from palladium d-orbitals.

      In the paper's own words

      “The calculations show that the lowest unoccupied molecular orbital of both the cyclopalladates 1a and 1b (81a and 109a respectively) are mostly concentrated on the naphthaloto fragment of the ligand, with very little contribution from the d(Pd) orbitals.”

      Page 3

      Found in: International Journal of Advanced

      Read it in the full textOpen PDF at page 3 ↗
    • For complex 1b, the low-lying absorption band at 508 nm corresponds to a HOMO-to-LUMO transition and is dominated by ILCT character. View evidence ↗

      What they found

      For complex 1b, the low-lying absorption band at 508 nm corresponds to a HOMO-to-LUMO transition and is dominated by ILCT character.

      In the paper's own words

      “the low-lying absorption band at 508 nm for 1b corresponds to the electronic transition from HOMO to LUMO and has dominant ILCT character (Table 5).”

      Page 4

      Found in: Fig 2: Spectrum of 1b computed in dichloromethane

      Read it in the full textOpen PDF at page 4 ↗
    • The TD-DFT simulated absorption spectra for both complexes in dichloromethane showed a good correlation with the experimentally observed spectra. View evidence ↗

      What they found

      The TD-DFT simulated absorption spectra for both complexes in dichloromethane showed a good correlation with the experimentally observed spectra.

      In the paper's own words

      “The absorption spectra of cyclopalladates obtained using TD-DFT procedure showed a number of transitions within the visible and ultraviolet region and good correlation with the experimentally observed spectra of 1a and 1b in dichloromethane are observed”

      Page 4

      Found in: International Journal of Advanced

      Read it in the full textOpen PDF at page 4 ↗
  4. What it means

    • The authors conclude that low-energy absorptions in these complexes result from ILCT transitions with MLCT admixtures, while high-energy absorptions are caused by MLCT and ligand-to-ligand charge transfer (LLCT) transitions. View evidence ↗

      What it means

      The authors conclude that low-energy absorptions in these complexes result from ILCT transitions with MLCT admixtures, while high-energy absorptions are caused by MLCT and ligand-to-ligand charge transfer (LLCT) transitions.

      In the paper's own words

      “The low energy absorptions are attributed to intraligand charge transfer transitions (ILCT) having admixtures of metal-to-ligand charge-transfer transitions (MLCT) whereas the high energy absorptions are due to MLCT and LLCT transitions.”

      Page 4

      Found in: Results and Discussion

      Read it in the full textOpen PDF at page 4 ↗

Figures & tables

From the original paper
Electronic spectral data of the cyclopalladates inTable 1Page 2Energies and percentage composition of the lowest unoccupied and highest occupied Kohn-Sham Orbitals of 1a in terms of Pd andTable 2Page 2Energies and percentage composition of the lowest unoccupied and highest occupied Kohn-Sham Orbitals of 1b in terms of Pd andTable 3Page 2Selected TD-DFT calculations of excitation energies, wavelength (λ), oscillator strengths (f) and compositions of the low-lyingTable 4Page 3Selected TD-DFT calculations of excitation energies, wavelength (λ), oscillator strengths (f) and compositions of the low-lyingTable 5Page 3Spectrum of 1a computed in dichloromethaneFigure 1Page 3Spectrum of 1b computed in dichloromethaneFigure 2Page 4Molecular orbital plots for the FMO’s of the cyclopalladate 1aFigure 3Page 5Molecular orbital plots for the FMO’s of the cyclopalladate 1aFigure 3Page 5Molecular orbital plots for the FMO’s of the cyclopalladate 1aFigure 3Page 5Molecular orbital plots for the FMO’s of the cyclopalladate 1aFigure 3Page 5Molecular orbital plots for the FMO’s of the cyclopalladate 1bFigure 4Page 6Molecular orbital plots for the FMO’s of the cyclopalladate 1bFigure 4Page 6
FULL TEXT Original article · reflowed for reading

Introduction

We have already reported the synthesis and characterization of palladium (II) complexes with 1-(2′-hydroxy-1′-naphthylazo)-2-hydroxynaphthalene (H2L) ligand, [Pd(L)(D)], 1a and 1b, in presence of neutral Lewis base, D (D = 4-picoline and PPh3 respectively) [1] . The crystal structure of the cyclopalladates has revealed that diazene ligand H2L bind to the metal ion as dianionic tridentate O,N,O donors and the fourth coordination position is occupied by N of donor 4-picoline (1a) or P of triphenylphosphine (1b) [2] . The tetra co-ordination around Pd (II) is almost planar. In continuation of our previous work, herein we wish to report the TD-DFT calculation for better understanding of the electronic structure of palladium (II) complexes and the nature of spectral transitions.

Method and computational details

The calculations have been performed within the TD-DFT formalism as implemented in ADF2007 [3][4][5][6][7][8] . Two approximations are generally made: one for the XC potential, and one for the XC kernel, which is the functional derivative of the time-dependent XC potential with respect to density. We used LDA (local density approximation) including the VWN parametrization [9] in the SCF step and Becke [10] and Perdew-Wang [11] gradient corrections to the exchange and correlation respectively and Adiabatic Local Density Approximation (ALDA) for the XC kernel, in the post-SCF step. TD-DFT calculations have been performed with the uncontracted triple-STO basis set with a polarization function for all atoms. In the calculation of the optical spectra, 70 lowest spin-allowed singlet-singlet transitions have been taken into account. Transition energies and oscillator strengths have been interpolated by a Gaussian convolution with a s of 0.2 eV. Solvent effects were modelled by the "Conductor-Like Screening Model" (COSMO) [12][13] of solvation as implemented in ADF.

Results and Discussion

The palladium (II) complexes 1a and 1b (Scheme 1) are soluble in common organic solvents and produce pink solution in dichloromethane. The spectral data of the palladium cyclometallates are given in Table 1 [1] . The cyclopalladates (1a and 1b) show several absorptions in the ultraviolet and visible region. The bands appearing in the ultraviolet region with high molar extinction coefficient are generally thought to be arisen from intraligand charge transfer transition whereas absorptions in the visible region are attributed to the metal-to-ligand charge transfer transition [14] . In order to gain further insight into the nature of the absorptions, TD-DFT calculations of both the cyclopalladates have been done. The coordinates of these cyclopalladates are directly imported from their crystal data. The frontier molecular orbital compositions, excitation energies and oscillator strengths for the various absorption bands have been presented in Table 2-5, together with the composition of the solution vectors in terms of most relevant transitions.

Table 2. Energies and percentage composition of the lowest unoccupied and highest occupied Kohn-Sham Orbitals of 1a in terms of Pd and
MOOccE(eV)PdLigand
860-1.78185.07
850-1.88997.99
840-2.15189.74
830-2.28194.92
820-2.61916.99(dyz), 13.79(dxz), 7.17(dx2-y2), 6.23(dz2), 1.13(dxy)39.61
810-3.3082.85(dx2-y2)83.16
802-5.11483.26
792-5.52310.51(dxz), 5.78(dx2-y2), 4.65(dz2), 3.59(dxy)52.97
782-5.98435.22(dxy), 15.40(s), 7.29(dxz), 4.44(dx2-y2) 3.90(dyz), 2.31(dz2)20.77
772-6.1004.01(dx2-y2)75.96
762-6.1524.14(dx2-y2), 1.53(dz2)68.59
752-6.35920.18(dz2), 8.82(dyz), 5.57(dxz)45.67

Table text extracted from the original PDF; superscript letters are shown inline. The original table image is below.

View original table image
Energies and percentage composition of the lowest unoccupied and highest occupied Kohn-Sham Orbitals of 1a in terms of Pd and↗ Enlarge
Table 2
Energies and percentage composition of the lowest unoccupied and highest occupied Kohn-Sham Orbitals of 1a in terms of Pd and

Energies and percentage composition of the lowest unoccupied and highest occupied Kohn-Sham Orbitals of 1a in terms of Pd and

Open full-size image ↗
Original paper tableSource PDF · page 2 ↗
Table 1. Electronic spectral data of the cyclopalladates in
Compoundλmax/nm (ε / M-1 cm-1)
1a296 (11,200), 520 (4,550), 554 (7,050)
1b232 (57,450), 263 (24,860), 523 (7,630), 558 (10,720)

Table text extracted from the original PDF; superscript letters are shown inline. The original table image is below.

View original table image
Electronic spectral data of the cyclopalladates in↗ Enlarge
Table 1
Electronic spectral data of the cyclopalladates in

Electronic spectral data of the cyclopalladates in

Open full-size image ↗
Original paper tableSource PDF · page 2 ↗

International Journal of Advanced

Orbital analysis: Both the palladium (II) complexes have been found to have similar molecular orbitals. A detailed analysis of the highest occupied and lowest unoccupied molecular orbitals of 1a and 1b are presented in Table 2 and 3 respectively, where orbital energies and composition in terms of atomic contributions are reported. The highest occupied molecular orbitals (HOMOs) of 1a (80a) and 1b (108a) are mostly based on the naphtholato fragment of the ligand, resulting from the combination of the carbon and nitrogen p orbitals. In HOMO-1, substantial amount of Pd-d character (25% for 1a and 21% for 1b) contribution has been noted for both the complexes. For the complex 1a, HOMO-2 (78a) is localized mostly on palladium (69%) whereas in 1b, HOMO-3 (105a) is mostly palladium based (71% d character). The next three lowest highest occupied molecular orbitals of 1a (77a, 76a and 75a) have 4%, 6% and 35% metal character respectively. The calculations show that the lowest unoccupied molecular orbital of both the cyclopalladates 1a and 1b (81a and 109a respectively) are mostly concentrated on the naphthaloto fragment of the ligand, with very little contribution from the d(Pd) orbitals. The LUMO+1 of the cycolpalladates has substantial metal d character (45% for 1a and 35% for 1b). LUMO+2 (83a) and LUMO+4 (85a) of 1a molecular orbitals are mostly concentrated on the Lewis base, 4-picoline resulting from the combination of the p-orbitals of carbon and nitrogen which mix in an antibonding fashion whereas LUMO+2 (111a) and LUMO+3 (112a) of 1b are largely based on the donor molecule, triphenylphosphine. The other LUMO's have predominant ligand character (Table 2 and3). The HOMO-LUMO gaps in 1a and 1b have been computed to be 1.806 and 1.971 eV respectively. The absorption spectra of cyclopalladates obtained using TD-DFT procedure showed a number of transitions within the visible and ultraviolet region and good correlation with the experimentally observed spectra of 1a and 1b in dichloromethane are observed (Table 4-5 and Fig. 12). As shown in Table 4, the first absorption band at ca. 524 nm involves excitation from the highest occupied to the lowest unoccupied molecular orbital and has mixed character of ILCT and MLCT transition. The most intense transition observed in 1a in ultraviolet region (ca. 253 nm) involves multi excitations from 65a (HOMO-15), 74a (HOMO-6) and 76a (HOMO-4) to 81a (LUMO), 86a (LUMO+5) and 88a (LUMO+7) respectively. These transitions have a mixed character of MLCT and LLCT. The assignment of the characters of all other excited states is presented in Table 4. The simulated electronic spectrum and isodensity surface plot of the relevant MO's of 1a is presented in Fig. 1 and3 respectively.

Figure 1. Spectrum of 1a computed in dichloromethane
Spectrum of 1a computed in dichloromethane↗ Enlarge
Figure 1
Spectrum of 1a computed in dichloromethane

Spectrum of 1a computed in dichloromethane

Open full-size image ↗
Original paper figureSource PDF · page 3 ↗
Table 4. Selected TD-DFT calculations of excitation energies, wavelength (λ), oscillator strengths (f) and compositions of the low-lying
StateEnergy (eV)λ cal (nm)λ exp (nm)fCompositionCharacter
S12.36455245540.292HOMO→LUMO (93.4%)MLCT + ILCT
S73.00644120.042HOMO-4→LUMO (68.7%) HOMO-3→LUMO (10.4%)MLCT + ILCT
S304.03883070.058HOMO→LUMO+7 (63.7%)ILCT + LLCT
S374.22962930.068HUMO-2→LUMO+5 (49%) HOMO-5→LUMO+1 (15.9%)MLCT + ILCT + LLCT
S394.28242900.082HOMO-6→LUMO+1 (39.9%) HOMO-5→LUMO+1 (18.6%) HOMO-1→LUMO+6 (14.7%) HOMO-4→LUMO+4 (13.1%)MLCT + LLCT
S434.45562780.055HUMO-6→LUMO+2 (51.2%) HOMO-7→LUMO+2 (24.5%)MLCT + LLCT
S524.62672680.097HUMO-7→LUMO+2 (15.2%) HOMO-6→LUMO+2 (14.4%) HOMO-8→LUMO+1 (12.4%) HOMO-5→LUMO+5 (11.0%) HOMO-12→LUMO (10.9%)MLCT + LLCT
S614.77642600.056HOMO→LUMO+8 (19.6%) HOMO-13→LUMO (17.7%)MLCT + LLCT
S664.90552532960.101HUMO-15→LUMO (20.0%) HOMO-6→LUMO+5(13.7%) HOMO-4→LUMO+7 (11.8%)MLCT + LLCT

Table text extracted from the original PDF; superscript letters are shown inline. The original table image is below.

View original table image
Selected TD-DFT calculations of excitation energies, wavelength (λ), oscillator strengths (f) and compositions of the low-lying↗ Enlarge
Table 4
Selected TD-DFT calculations of excitation energies, wavelength (λ), oscillator strengths (f) and compositions of the low-lying

Selected TD-DFT calculations of excitation energies, wavelength (λ), oscillator strengths (f) and compositions of the low-lying

Open full-size image ↗
Original paper tableSource PDF · page 3 ↗

Fig 2: Spectrum of 1b computed in dichloromethane

On the other hand, the low-lying absorption band at 508 nm for 1b corresponds to the electronic transition from HOMO to LUMO and has dominant ILCT character (Table 5). The calculated most intense transition observed in 1b at 303 nm involves multiexcitation from HOMO (108a) to LUMO+11 (120a), HOMO-3 (105a) to LUMO+4 (113a) and HOMO-4 (104a) to LUMO+4 (113a) with MLCT and LLCT character. The simulated electronic spectrum and isodensity surface plot of the relevant MO's of 1b is shown in Fig. 2 and 4 respectively.

Figure 2. Spectrum of 1b computed in dichloromethane
Spectrum of 1b computed in dichloromethane↗ Enlarge
Figure 2
Spectrum of 1b computed in dichloromethane

Spectrum of 1b computed in dichloromethane

Open full-size image ↗
Original paper figureSource PDF · page 4 ↗
Table 5. Selected TD-DFT calculations of excitation energies, wavelength (λ), oscillator strengths (f) and compositions of the low-lying
StateEnergy (eV)λ cal (nm)λ exp (nm)fCompositionCharacter
S22.43965085580.213HOMO→LUMO (82.9%)ILCT + MLCT
S83.13903950.069HOMO-5→LUMO (71.6%) HOMO→LUMO+2 (17%)ILCT + MLCT
S123.24693820.0536HOMO→LUMO+2 (46.9%) HOMO→LUMO+3 (10.4%)ILCT + LLCT
S173.44943590.064HOMO-7→LUMO (66.7%) HOMO-3→LUMO+1 (12.4%)ILCT + MLCT + LLCT
S193.47313570.156HOMO-7→LUMO (30.9%) HOMO-3→LUMO+1 (28.3%) HOMO-2→LUMO+1 (18.7%)ILCT + MLCT + LLCT
S223.56883470.047HUMO-3→LUMO+1 (35.5%) HOMO-2→LUMO+1 (20.8%)ILCT + MLCT + LLCT
S504.09213032630.072HOMO→LUMO+11 (15.7%) HOMO-3→LUMO+4 (13.8%) HOMO-4→LUMO+4 (11%)MLCT + LLCT
S704.45002792320.045HUMO-14→LUMO+1 (23.7%) HOMO-1→LUMO+11 (10%)MLCT + LLCT

Table text extracted from the original PDF; superscript letters are shown inline. The original table image is below.

View original table image
Selected TD-DFT calculations of excitation energies, wavelength (λ), oscillator strengths (f) and compositions of the low-lying↗ Enlarge
Table 5
Selected TD-DFT calculations of excitation energies, wavelength (λ), oscillator strengths (f) and compositions of the low-lying

Selected TD-DFT calculations of excitation energies, wavelength (λ), oscillator strengths (f) and compositions of the low-lying

Open full-size image ↗
Original paper tableSource PDF · page 3 ↗

Acknowledgement

Acknowledgements

Figures and tables from the paper

Table 3. Energies and percentage composition of the lowest unoccupied and highest occupied Kohn-Sham Orbitals of 1b in terms of Pd and
MOOccE(eV)PdLigand
1140-1.86088.23
1130-1.96389.29
1120-2.00785.02
1110-2.13887.04
1100-2.86417.01(dyz), 14.06(dxy) 3.47(dz2)46.12
1090-3.1801.89(dxy)86.15
1082-5.15184.12
1072-5.4448.44(dx2-y2), 5.50(dz2), 5.31(dyz), 1.73(dxy)63.84
1062-5.8622.52(dx2-y2), 2.27(dz2), 1.29(dxz)75.7
1052-6.01225.38(dxz), 16.86(s), 12.84(dx2-y2), 11.30(dxy), 4.32(dyz)13.36
1042-6.05977.56
1032-6.11680.71

Table text extracted from the original PDF; superscript letters are shown inline. The original table image is below.

View original table image
Energies and percentage composition of the lowest unoccupied and highest occupied Kohn-Sham Orbitals of 1b in terms of Pd and↗ Enlarge
Table 3
Energies and percentage composition of the lowest unoccupied and highest occupied Kohn-Sham Orbitals of 1b in terms of Pd and

Energies and percentage composition of the lowest unoccupied and highest occupied Kohn-Sham Orbitals of 1b in terms of Pd and

Open full-size image ↗
Original paper tableSource PDF · page 2 ↗
Figure 3. Molecular orbital plots for the FMO’s of the cyclopalladate 1a
Molecular orbital plots for the FMO’s of the cyclopalladate 1a↗ Enlarge
Figure 3
Molecular orbital plots for the FMO’s of the cyclopalladate 1a

Molecular orbital plots for the FMO’s of the cyclopalladate 1a

Open full-size image ↗
Original paper figureSource PDF · page 5 ↗
Figure 3. Molecular orbital plots for the FMO’s of the cyclopalladate 1a
Molecular orbital plots for the FMO’s of the cyclopalladate 1a↗ Enlarge
Figure 3
Molecular orbital plots for the FMO’s of the cyclopalladate 1a

Molecular orbital plots for the FMO’s of the cyclopalladate 1a

Open full-size image ↗
Original paper figureSource PDF · page 5 ↗
Figure 3. Molecular orbital plots for the FMO’s of the cyclopalladate 1a
Molecular orbital plots for the FMO’s of the cyclopalladate 1a↗ Enlarge
Figure 3
Molecular orbital plots for the FMO’s of the cyclopalladate 1a

Molecular orbital plots for the FMO’s of the cyclopalladate 1a

Open full-size image ↗
Original paper figureSource PDF · page 5 ↗
Figure 3. Molecular orbital plots for the FMO’s of the cyclopalladate 1a
Molecular orbital plots for the FMO’s of the cyclopalladate 1a↗ Enlarge
Figure 3
Molecular orbital plots for the FMO’s of the cyclopalladate 1a

Molecular orbital plots for the FMO’s of the cyclopalladate 1a

Open full-size image ↗
Original paper figureSource PDF · page 5 ↗
Figure 4. Molecular orbital plots for the FMO’s of the cyclopalladate 1b
Molecular orbital plots for the FMO’s of the cyclopalladate 1b↗ Enlarge
Figure 4
Molecular orbital plots for the FMO’s of the cyclopalladate 1b

Molecular orbital plots for the FMO’s of the cyclopalladate 1b

Open full-size image ↗
Original paper figureSource PDF · page 6 ↗
Figure 4. Molecular orbital plots for the FMO’s of the cyclopalladate 1b
Molecular orbital plots for the FMO’s of the cyclopalladate 1b↗ Enlarge
Figure 4
Molecular orbital plots for the FMO’s of the cyclopalladate 1b

Molecular orbital plots for the FMO’s of the cyclopalladate 1b

Open full-size image ↗
Original paper figureSource PDF · page 6 ↗

References

7 in the original paper
  1. equations. Journal of Computer Physics Communications. 1999;118(2-3):119-138.
  2. Vosco SH, Wilk L, Nusair M. Accurate spindependent electron liquid correlation energies for local spin density calculations: a critical analysis. Canadian Journal of Physics. 1980;58(8):1200-1211.
  3. Becke AD. Density-functional exchange-energy approximation with correct asymptotic behavior. Physical Review A. 1988;38(6):3098-3100.
  4. Perdew JP, Wang Y. Accurate and simple analytic representation of the electron-gas correlation energy. Physical Review B. 1992;45(23):13244-13249.
  5. Klamt A, Schüürmann GJ, COSMO: a new approach to dielectric screening in solvents with explicit expressions for the screening energy and its gradient. Journal of the Chemical Society, Perkin Transactions 2. 1993;799-805.
  6. Klamt A, Jonas V. Treatment of the outlying charge in continuum solvation models. Journal of Chemical Physics. 1996;105(22):9972-9981.
  7. Dutta S, Peng S, Bhattacharya S. Synthesis, structure and redox properties of some 2-(arylazo)phenolate complexes of rhodium(III). Journal of the Chemical Society, Dalton Transactions. 2000;4623-4627.