Abstract As very light fermions, electrons are governed by antisymmetric wave functions that lead... more Abstract As very light fermions, electrons are governed by antisymmetric wave functions that lead to exchange integrals in the evaluation of the energy. Here we use the localized representation of orbitals to decompose the electronic energy in a fashion that isolates the enigmatic exchange contributions and characterizes their distinctive control over electron distributions. The key to this completely general analysis is considering the electrons in groups of three, drawing attention to the curvatures of pair potentials, rather than just their amplitudes and slopes. We show that a positive curvature at short distances is essential for the mutual distancing of electrons and a negative curvature at longer distances is essential to account for the influence of lone pairs on bond torsion. Neither curvature is available in the absence of the exchange contributions. Thus, although exchange energies are much shorter range than Coulomb energies, their influence on molecular geometry is profound and readily understood.
The visible absorption of bacteriorhodopsin (bR) is highly sensitive to pH, the maximum shifting ... more The visible absorption of bacteriorhodopsin (bR) is highly sensitive to pH, the maximum shifting from 568 nm (pH 7) to approximately 600 nm (pH 2) and back to 565 nm (pH 0) as the pH is decreased further with HCl. Blue membrane is also formed by deionization of neutral purple membrane suspensions. Low-temperature, magic angle spinning 13C and 15N NMR was used to investigate the transitions to the blue and acid purple states. The 15N NMR studies involved (epsilon-15N)lysine bR, allowing a detailed investigation of effects at the Schiff base nitrogen. The 15N resonance shifts approximately 16 ppm upfield in the neutral purple to blue transition and returns to its original value in the blue to acid purple transition. Thus, the 15N shift correlates directly with the color changes, suggesting an important contribution of the Schiff base counterion to the opsin shift. The results indicate weaker hydrogen bonding in the blue form than in the two purple forms and permit a determination of t...
Proceedings of the National Academy of Sciences, 2001
Unidirectional proton transport in bacteriorhodopsin is enforced by the switching machinery of th... more Unidirectional proton transport in bacteriorhodopsin is enforced by the switching machinery of the active site. Threonine 89 is located in this region, with its O—H group forming a hydrogen bond with Asp-85, the acceptor for proton transfer from the Schiff base of the retinal chromophore. Previous IR spectroscopy of [3- 18 O]threonine-labeled bacteriorhodopsin showed that the hydrogen bond of the O—D group of Thr-89 in D 2 O is strengthened in the K photocycle intermediate. Here, we show that the strength and orientation of this hydrogen bond remains unchanged in the L intermediate and through the M intermediate. Furthermore, a strong interaction between Asp-85 and the O—H (O—D) group of Thr-89 in M is indicated by a shift in the C⩵O stretching vibration of the former because of 18 O substitution in the latter. Thus, the strong hydrogen bond between Asp-85 and Thr-89 in K persists through M, contrary to structural models based on x-ray crystallography of the photocycle intermediates...
Solid-state deuterium NMR spectroscopy is used to examine the dynamic behavior of 18-CD3 methyl g... more Solid-state deuterium NMR spectroscopy is used to examine the dynamic behavior of 18-CD3 methyl groups in microcrystalline 6-s-cis-retinoic acid (triclinic) and 6-s-trans-retinoic acid (monoclinic) model compounds, as well as in the membrane protein bacteriorhodopsin (bR), regenerated with CD3-labeled retinal. Temperature dependent quadrupolar echo line shapes and T1 anisotropy measurements were used to characterize activation energies for 3-fold hopping motion of the methyl groups. These data provide supporting evidence that the conformation of the retinal chromophore in bR is 6-s-trans. The 6-s-cis conformer is characterized by strong eclipsing interactions between the 8-C proton and the 18-C methyl group protons; the 18-CD3 group shows an activation energy barrier for methyl 3-fold hopping of 14.5 +/- 1 kJ/mol. In contrast, the 18-CD3 group in the 6-s-trans isomer shows a considerably lower activation energy barrier of 5 +/- 1 kJ/mol. In bR, it is possible to obtain an approximate activation energy of 9 kJ/mol. This data is inconsistent with a 6-s-cis conformer but is consistent with the existence of a 6-s-trans-retinal Schiff base in bR with some interaction with the protein matrix. These results suggest that methyl rotor motions can be used to probe the van der Waals contact between a ligand and a protein binding pocket. The 6-s-trans conformer of the [16,17-(CD3)2]retinal in frozen hexane exhibits a major kinetic component with an activation energy barrier of of 14 -/+ 2 kJ/mol.(ABSTRACT TRUNCATED AT 250 WORDS)
Solid-state 13C magic-angle sample spinning (MASS) NMR has been used to study lyophilized dark-ad... more Solid-state 13C magic-angle sample spinning (MASS) NMR has been used to study lyophilized dark-adapted purple membrane containing 13C-labeled retinals. C-10-, C-11-, and C-12-labeled derivatives each showed two lines, assigned to the coexisting 13-cis and all-trans isomers. The isotropic chemical shifts, particularly of C-11, indicate that the Schiff base is protonated. Shift anisotropies are also similar to those of model compounds, indicating that this part of the chromophore is rigid and immobile and possesses the same degree of in-plane bending as crystalline retinal derivatives. Purple membrane samples labeled on the C-19- and C-20-methyl groups both give single lines from the retinal, upfield shifted by 2.1 and 1.0 ppm, respectively, from model compounds. In all cases, high-quality spectra were obtained from approximately 50-mg samples in modest signal-averaging times. These results suggest that it is now practical to exploit the enormous potential of MASS NMR for structural s...
Abstract As very light fermions, electrons are governed by antisymmetric wave functions that lead... more Abstract As very light fermions, electrons are governed by antisymmetric wave functions that lead to exchange integrals in the evaluation of the energy. Here we use the localized representation of orbitals to decompose the electronic energy in a fashion that isolates the enigmatic exchange contributions and characterizes their distinctive control over electron distributions. The key to this completely general analysis is considering the electrons in groups of three, drawing attention to the curvatures of pair potentials, rather than just their amplitudes and slopes. We show that a positive curvature at short distances is essential for the mutual distancing of electrons and a negative curvature at longer distances is essential to account for the influence of lone pairs on bond torsion. Neither curvature is available in the absence of the exchange contributions. Thus, although exchange energies are much shorter range than Coulomb energies, their influence on molecular geometry is profound and readily understood.
The visible absorption of bacteriorhodopsin (bR) is highly sensitive to pH, the maximum shifting ... more The visible absorption of bacteriorhodopsin (bR) is highly sensitive to pH, the maximum shifting from 568 nm (pH 7) to approximately 600 nm (pH 2) and back to 565 nm (pH 0) as the pH is decreased further with HCl. Blue membrane is also formed by deionization of neutral purple membrane suspensions. Low-temperature, magic angle spinning 13C and 15N NMR was used to investigate the transitions to the blue and acid purple states. The 15N NMR studies involved (epsilon-15N)lysine bR, allowing a detailed investigation of effects at the Schiff base nitrogen. The 15N resonance shifts approximately 16 ppm upfield in the neutral purple to blue transition and returns to its original value in the blue to acid purple transition. Thus, the 15N shift correlates directly with the color changes, suggesting an important contribution of the Schiff base counterion to the opsin shift. The results indicate weaker hydrogen bonding in the blue form than in the two purple forms and permit a determination of t...
Proceedings of the National Academy of Sciences, 2001
Unidirectional proton transport in bacteriorhodopsin is enforced by the switching machinery of th... more Unidirectional proton transport in bacteriorhodopsin is enforced by the switching machinery of the active site. Threonine 89 is located in this region, with its O—H group forming a hydrogen bond with Asp-85, the acceptor for proton transfer from the Schiff base of the retinal chromophore. Previous IR spectroscopy of [3- 18 O]threonine-labeled bacteriorhodopsin showed that the hydrogen bond of the O—D group of Thr-89 in D 2 O is strengthened in the K photocycle intermediate. Here, we show that the strength and orientation of this hydrogen bond remains unchanged in the L intermediate and through the M intermediate. Furthermore, a strong interaction between Asp-85 and the O—H (O—D) group of Thr-89 in M is indicated by a shift in the C⩵O stretching vibration of the former because of 18 O substitution in the latter. Thus, the strong hydrogen bond between Asp-85 and Thr-89 in K persists through M, contrary to structural models based on x-ray crystallography of the photocycle intermediates...
Solid-state deuterium NMR spectroscopy is used to examine the dynamic behavior of 18-CD3 methyl g... more Solid-state deuterium NMR spectroscopy is used to examine the dynamic behavior of 18-CD3 methyl groups in microcrystalline 6-s-cis-retinoic acid (triclinic) and 6-s-trans-retinoic acid (monoclinic) model compounds, as well as in the membrane protein bacteriorhodopsin (bR), regenerated with CD3-labeled retinal. Temperature dependent quadrupolar echo line shapes and T1 anisotropy measurements were used to characterize activation energies for 3-fold hopping motion of the methyl groups. These data provide supporting evidence that the conformation of the retinal chromophore in bR is 6-s-trans. The 6-s-cis conformer is characterized by strong eclipsing interactions between the 8-C proton and the 18-C methyl group protons; the 18-CD3 group shows an activation energy barrier for methyl 3-fold hopping of 14.5 +/- 1 kJ/mol. In contrast, the 18-CD3 group in the 6-s-trans isomer shows a considerably lower activation energy barrier of 5 +/- 1 kJ/mol. In bR, it is possible to obtain an approximate activation energy of 9 kJ/mol. This data is inconsistent with a 6-s-cis conformer but is consistent with the existence of a 6-s-trans-retinal Schiff base in bR with some interaction with the protein matrix. These results suggest that methyl rotor motions can be used to probe the van der Waals contact between a ligand and a protein binding pocket. The 6-s-trans conformer of the [16,17-(CD3)2]retinal in frozen hexane exhibits a major kinetic component with an activation energy barrier of of 14 -/+ 2 kJ/mol.(ABSTRACT TRUNCATED AT 250 WORDS)
Solid-state 13C magic-angle sample spinning (MASS) NMR has been used to study lyophilized dark-ad... more Solid-state 13C magic-angle sample spinning (MASS) NMR has been used to study lyophilized dark-adapted purple membrane containing 13C-labeled retinals. C-10-, C-11-, and C-12-labeled derivatives each showed two lines, assigned to the coexisting 13-cis and all-trans isomers. The isotropic chemical shifts, particularly of C-11, indicate that the Schiff base is protonated. Shift anisotropies are also similar to those of model compounds, indicating that this part of the chromophore is rigid and immobile and possesses the same degree of in-plane bending as crystalline retinal derivatives. Purple membrane samples labeled on the C-19- and C-20-methyl groups both give single lines from the retinal, upfield shifted by 2.1 and 1.0 ppm, respectively, from model compounds. In all cases, high-quality spectra were obtained from approximately 50-mg samples in modest signal-averaging times. These results suggest that it is now practical to exploit the enormous potential of MASS NMR for structural s...
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