| 1. |
- Olsson, Mats H. M., et al.
(författare)
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Geometry, Reduction Potential, and Reorganization Energy of the Binuclear CuA Site, Studied by Density Functional Theory
- 2001
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Ingår i: Journal of the American Chemical Society. - : American Chemical Society (ACS). - 1520-5126 .- 0002-7863. ; 123:32, s. 7866-7876
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Tidskriftsartikel (refereegranskat)abstract
- Abstract in UndeterminedThe dimeric CuA site found in cytochrome c oxidase and nitrous oxide reductase has been studied with the density functional B3LYP method. We have optimized the structure of the realistic (Im)(S(CH3)2)- Cu(SCH3)2Cu(Im)(CH3CONHCH3) model in the fully reduced, mixed-valence, and fully oxidized states. The optimized structures are very similar to crystal structures of the protein, which shows that the protein does not strain the site significantly. Instead, inorganic model complexes of the protein site are strained by the macrocyclic connections between the ligand models. For the mixed-valence (CuI+CuII) state, two distinct equilibrium structures were found, one with a short Cu-Cu distance, 248 pm, similar to the protein structure, and one with a longer distance, 310 pm, similar to what is found in inorganic models. In the first state, the unpaired electron is delocalized over both copper ions, whereas in the latter, it is more localized to one of the ions. The two states are nearly degenerate. The potential energy surfaces for the Cu-Cu, Cu-SMet, and Cu-O interactions are extremely flat. In fact, all three distances can be varied between 230 and 310 pm at an expense in energy of less than 8 kJ/mol, which explains the large variation observed in crystal structures for these interactions. Inclusion of solvation effects does not change this significantly. Therefore, we can conclude that a variation in these distances can change the reduction potential of the CuA site by at most 100 mV. The model complex has a reorganization energy of 43 kJ/mol, 20 kJ/mol lower than for a monomeric blue-copper site. This lowering is caused by the delocalization of the unpaired electron in the mixed-valence state.
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| 2. |
- Olsson, Mats H M, et al.
(författare)
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On the relative stability of tetragonal and trigonal Cu(II) complexes with relevance to the blue copper proteins
- 1998
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Ingår i: Journal of Biological Inorganic Chemistry. - : Springer Science and Business Media LLC. - 0949-8257 .- 1432-1327. ; 3:2, s. 109-125
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Tidskriftsartikel (refereegranskat)abstract
- The role of the cysteine thiolate ligand for the unusual copper coordination geometry in the blue copper proteins has been studied by comparing the electronic structure, geometry, and energetics of a number of small Cu(II) complexes. The geometries have been optimised with the density functional B3LYP method, and energies have been calculated by multi- configurational second-order perturbation theory (the CASPT2 method). Most small inorganic Cu(II) complexes assume a tetragonal geometry, where four ligands make σ bonds to a Cu 3d orbital. If a ligand lone-pair orbital instead forms a π bond to the copper ion, it formally occupies two ligand positions in a square coordination, and the structure becomes trigonal. Large, soft, and polarisable ligands, such as SH- and SeH-, give rise to covalent copper-ligand bonds and structures close to a tetrahedron, which might be trigonal or tetragonal with approximately the same stability. On the other hand, small and hard ligands, such as NH3, OH2, and OH-, give ionic bonds and flattened tetragonal structures. It is shown that axial type 1 (blue) copper proteins have a trigonal structure with a π bond to the cysteine sulphur atom, whereas rhombic type 1 and type 2 proteins have a tetragonal structure with σ bonds to all strong ligands. The soft cysteine ligand is essential for the stabilisation of a structure that is close to a tetrahedron (either trigonal or tetragonal), which ensures a low reorganisation energy during electron transfer.
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| 3. |
- Olsson, Mats H M, et al.
(författare)
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Quantum chemical calculations of the reorganization energy of blue- copper proteins
- 1998
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Ingår i: Protein Science. - : Wiley. - 0961-8368 .- 1469-896X. ; 7:12, s. 2659-2668
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Tidskriftsartikel (refereegranskat)abstract
- The inner-sphere reorganization energy for several copper complexes related to the active site in blue-copper protein has been calculated with the density functional B3LYP method. The best model of the blue-copper proteins, Cu(Im)2(SCH3)(S(CH'3)2)(0/+), has a self-exchange inner-sphere reorganization energy of 62 kJ/mol, which is at least 120 kJ/mol lower than for Cu(H2O)(+/2+)/4 This lowering of the reorganization energy is caused by the soft ligands in the blue-copper site, especially the cysteine thiolate and the methionine thioether groups. Soft ligands both make the potential surfaces of the complexes flatter and give rise to oxidized structures that are quite close to a tetrahedron (rather than tetragonal). Approximately half of the reorganization energy originates from changes in the copper-ligand bond lengths and half of this contribution comes from the Cu-S(Cys) bond. A tetragonal site, which is present in the rhombic type 1 blue-copper proteins, has a slightly higher (16 kJ/mol) inner-sphere reorganization energy than a trigonal site, present in the axial type I copper proteins. A site with the methionine ligand replaced by an amide group, as in stellacyanin, has an even higher reorganization energy, about 90 kJ/mol.
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| 4. |
- Olsson, Mats H M, et al.
(författare)
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The influence of axial ligands on the reduction potential of blue copper proteins
- 1999
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Ingår i: Journal of Biological Inorganic Chemistry. - : Springer Science and Business Media LLC. - 0949-8257 .- 1432-1327. ; 4:5, s. 654-663
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Tidskriftsartikel (refereegranskat)abstract
- The reduction potentials of blue copper sites vary between 180 and about 1000 mV. It has been suggested that the reason for this variation is that the proteins constrain the distance between the copper ion and its axial ligands to different values. We have tested this suggestion by performing density functional B3LYP calculations on realistic models of the blue copper proteins, including solvent effects by the polarizable continuum method. Constraining the Cu-S(Met) bond length to values between 245 and 310 pm (the range encountered in crystal structures) change the reduction potential by less than 70 mV. Similarly, we have studied five typical blue copper proteins spanning the whole range of reduction potentials: stellacyanin, plastocyanin, azurin, rusticyanin, and ceruloplasmin. These studies included the methionine (or glutamine) ligand as well as the back-bone carbonyl oxygen group that is a ligand in azurin and is found at larger distances in the other proteins. The active-site models of these proteins show a variation in the reduction potential of about 140 mV, i.e., only a minor part of the range observed experimentally (800 mV). Consequently, we can conclude that the axial ligands have a small influence on the reduction potentials of the blue copper proteins. Instead, the large variation in the reduction potentials seems to arise mainly from variations in the solvent accessibility of the copper site and in the orientation of protein dipoles around the copper site.
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| 5. |
- Pierloot, Kristine, et al.
(författare)
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Relation between the structure and spectroscopic properties of blue copper proteins
- 1998
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Ingår i: Journal of the American Chemical Society. - : American Chemical Society (ACS). - 0002-7863 .- 1520-5126. ; 120:50, s. 13156-13166
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Tidskriftsartikel (refereegranskat)abstract
- The electronic spectra of three rhombic type 1 blue copper proteins, nitrite reductase, pseudoazurin, and cucumber basic protein, have been studied by ab initio multiconfigurational second-order perturbation theory (the CASPT2 method). The six lowest excitations have been calculated and assigned with an error of less than 1800 cm-1. The singly occupied orbital in the ground-state forms a strongly covalent antibond between the copper ion and the thiolate group of the cysteine ligand with a mixture of σ and π character. This is in contrast to the axial type 1 copper protein plastocyanin which has an almost pure Cu-S(Cys) π interaction. The two brightest lines in the absorption spectrum originate from transitions to the corresponding σ (~460 nm) and π (~600 mm) bonding orbitals. The relative intensity of these two lines is determined by the character of the ground- state orbital. It is possible to obtain a structure closely similar to the one found in nitrite reductase by geometry optimizations with the hybrid density functional B3LYP method in vacuum. It is a tetragonal structure with bonds of mainly σ character to the four ligands like normal square-planar Cu(II) complexes, but the cysteine thiolate group donates much charge to the copper ion and thereby makes the structure strongly distorted toward a tetrahedron. Both this structure and a trigonal π-bonded structure, which also can be obtained for all complexes and is an excellent model of plastocyanin, are equilibrium structures (although usually not with the same ligand models). They have virtually the same energy (within ~7 kJ/mol), and the barrier between them is low. Therefore, small differences in the structure and electrostatics of different proteins may lead to stabilization of one or the other of the structures. The results indicate that axial type 1 proteins have a trigonal structure with an almost pure Cu-S(Cys) π bond, whereas rhombic type 1 proteins have tetragonal structures with a significant σ character in this bond. Type 1.5 and 2 copper-cysteinate proteins arise when the tetragonal structure becomes more flattened than in nitrite reductase, probably by the inclusion of stronger (type 1.5) and more (type 2) ligands.
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| 6. |
- Ryde, Ulf, et al.
(författare)
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A theoretical study of the copper–cysteine bond in blue copper proteins
- 2001
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Ingår i: Theoretical Chemistry Accounts. - : Springer Science and Business Media LLC. - 1432-881X. ; 105:6, s. 452-462
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Tidskriftsartikel (refereegranskat)abstract
- The accuracy of theoretical calculations on models of the blue copper proteins is investigated using density functional theory (DFT) Becke's three-parameter hybrid method with the Lee–Yang–Parr correlation functional (B3LYP) and medium-sized basis sets. Increasing the basis set to triple-zeta quality with f-type functions on all heavy atoms and enlarging the model [up to Cu(imidazole-CH3)2(SC2H5) (CH3SC2H5)0/+] has only a limited influence on geometries and relative energies. Comparative calculations with more accurate wave-function–based methods (second-order Møller–Plesset perturbation theory, complete-active-space second-order perturbation theory, coupled-cluster method, including single and double replacement amplitudes and in addition triple replacement perturbatively) and a variety of basis sets on smaller models indicate that the DFT/B3LYP approach gives reliable results with only a small basis set dependence, whereas the former methods strongly depend on the size of the basis sets. The effect of performing the geometry optimizations in a continuum solvent is quite small, except for the flexible Cu-SMet bond. The results of this study confirm the earlier results that neither the oxidized nor the reduced copper site in the blue proteins is strained to any significant degree (in energy terms) by the protein surrounding.
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| 7. |
- Ryde, Ulf, et al.
(författare)
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On the role of strain in blue copper proteins
- 2000
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Ingår i: Journal of Biological Inorganic Chemistry. - : Springer Science and Business Media LLC. - 0949-8257 .- 1432-1327. ; 5:5, s. 565-574
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Tidskriftsartikel (refereegranskat)abstract
- Theoretical investigations of the structure and function of the blue copper proteins are described. We have studied the optimum vacuum geometry of oxidised and reduced copper sites, the relative stability of trigonal and tetragonal Cu(II) structures, the relation between the structure and electronic spectra, the reorganisation energy, and reduction potentials. Our calculations give no support to the suggestion that strain plays a significant role in the function of these proteins; on the contrary, our results show that the structures encountered in the proteins are close to their optimal vacuum geometries (within 7 kJ/mol). We stress the importance of defining what is meant by strain and of quantifying strain energies or forces in order to make strain hypotheses testable.
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| 8. |
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| 9. |
- Ryde, Ulf, et al.
(författare)
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Structure, strain, and reorganization energy of blue copper models in the protein
- 2001
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Ingår i: International Journal of Quantum Chemistry. - 0020-7608. ; 81:5, s. 335-347
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Tidskriftsartikel (refereegranskat)abstract
- The copper coordination geometry in the blue copper proteins plastocyanin, nitrite reductase, cucumber basic protein, and azurin has been studied by combined density functional (B3LYP) and molecular mechanical methods. Compared to quantum chemical vacuum calculations, a significant improvement of the geometry is seen (toward the experimental structures) not only for the dihedral angles of the ligands but also for the bond lengths and angles around the copper ion. The flexible Cu–SMet bond is well reproduced in the oxidized structures, whereas it is too long in some of the reduced complexes (too short in vacuum). The change in the geometry compared to the vacuum state costs 33–66 kJ/mol. If the covalent bonds between the ligands and the protein are broken, this energy decreases by ∼25 kJ/mol, which is an estimate of the covalent strain. This is similar to what is found for other proteins, so the blue copper proteins are not more strained than other metalloproteins. The inner-sphere self-exchange reorganization energy of all four proteins are ∼30 kJ/mol. This is 30–50 kJ/mol lower than in vacuum. The decrease is caused by dielectric and electrostatic effects in the protein, especially the hydrogen bond(s) to the cysteine copper ligands and not by covalent strain.
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| 10. |
- Ryde, Ulf, et al.
(författare)
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The cupric geometry of blue copper proteins is not strained
- 1996
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Ingår i: Journal of Molecular Biology. - : Elsevier BV. - 0022-2836. ; 261:4, s. 586-596
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Tidskriftsartikel (refereegranskat)abstract
- The geometry of several realistic models of the metal coordination sphere in the blue copper proteins has been optimised using high-level quantum chemical methods. The results show that the optimal vacuum structure of the Cu(II) models is virtually identical to the crystal structure of oxidised blue copper proteins. For the reduced forms, the optimised structure seems to be more tetrahedral than the one found in the proteins, but the energy difference between the two geometries is less than 5 kJ/mol, i.e. within the error limits of the method. Thus, the results raise strong doubts against hypotheses (entatic state and the induced-rack theory) suggesting that blue copper proteins force the oxidised metal coordination sphere into a structure similar to that preferred by Cu(I) in order to minimise the reorganisation energy of the electron transfer reaction. Instead, a small reorganisation energy seems to be reached by an appropriate choice of metal ligands. In particular, the cysteine thiolate ligand appears to be crucial, changing the preferred geometry of the oxidised complexes from square-planar to a more trigonal geometry.
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