Metal-induced sensor mobilization turns on affinity to activate regulator for metal detoxification in live bacteria.

Metal detoxification is essential for bacteria's survival in adverse environments and their pathogenesis in hosts. Understanding the underlying mechanisms is crucial for devising antibacterial treatments. In the Gram-negative bacterium Escherichia coli, membrane-bound sensor CusS and its response regulator CusR together regulate the transcription of the cus operon that plays important roles in cells' resistance to copper/silver, and they belong to the two-component systems (TCSs) that are ubiquitous across various organisms and regulate diverse cellular functions. In vitro protein reconstitution and associated biochemical/physical studies have provided significant insights into the functions and mechanisms of CusS-CusR and related TCSs. Such studies are challenging regarding multidomain membrane proteins like CusS and also lack the physiological environment, particularly the native spatial context of proteins inside a cell. Here, we use stroboscopic single-molecule imaging and tracking to probe the dynamic behaviors of both CusS and CusR in live cells, in combination with protein- or residue-specific genetic manipulations. We find that copper stress leads to a cellular protein concentration increase and a concurrent mobilization of CusS out of clustered states in the membrane. We show that the mobilized CusS has significant interactions with CusR for signal transduction and that CusS's affinity toward CusR switches on upon sensing copper at the interfacial metal-binding sites in CusS's periplasmic sensor domains, prior to ATP binding and autophosphorylation at CusS's cytoplasmic kinase domain(s). The observed CusS mobilization upon stimulation and its surprisingly early interaction with CusR likely ensure an efficient signal transduction by providing proper conformation and avoiding futile cross talks.

Biphasic unbinding of a metalloregulator from DNA for transcription (de)repression in Live Bacteria.

Microorganisms use zinc-sensing regulators to alter gene expression in response to changes in the availability of zinc, an essential micronutrient. Under zinc-replete conditions, the Fur-family metalloregulator Zur binds to DNA tightly in its metallated repressor form to Zur box operator sites, repressing the transcription of zinc uptake transporters. Derepression comes from unbinding of the regulator, which, under zinc-starvation conditions, exists in its metal-deficient non-repressor forms having no significant affinity with Zur box. While the mechanism of transcription repression by Zur is well-studied, little is known on how derepression by Zur could be facilitated. Using single-molecule/single-cell measurements, we find that in live Escherichia coli cells, Zur's unbinding rate from DNA is sensitive to Zur protein concentration in a first-of-its-kind biphasic manner, initially impeded and then facilitated with increasing Zur concentration. These results challenge conventional models of protein unbinding being unimolecular processes and independent of protein concentration. The facilitated unbinding component likely occurs via a ternary complex formation mechanism. The impeded unbinding component likely results from Zur oligomerization on chromosome involving inter-protein salt-bridges. Unexpectedly, a non-repressor form of Zur is found to bind chromosome tightly, likely at non-consensus sequence sites. These unusual behaviors could provide functional advantages in Zur's facile switching between repression and derepression.

Factors Determining the Rate and Selectivity of 4e-/4H+ Electrocatalytic Reduction of Dioxygen by Iron Porphyrin Complexes.

Reactivity as well as selectivity are crucial in the activation and electrocatalytic reduction of molecular oxygen. Recent developments in the understanding of the mechanism of electrocatalytic O2 reduction by iron porphyrin complexes in situ using surface enhanced resonance Raman spectroscopy coupled to rotating disc electrochemistry (SERRS-RDE) in conjunction with H/D isotope effects on electrocatalytic current reveals that the rate of O2 reduction, ∼104 to 105 M-1 s-1 for simple iron porphyrins, is limited by the rate of O-O bond cleavage of an intermediate ferric peroxide species (FeIII-OOH). SERRS-RDE probes the system in operando when it is under steady state such that any intermediate species that has a greater rate of formation relative to its rate of decay, including the rate determining species, would accumulate and can be identified. This technique is particularly well suited to investigate iron porphyrin electrocatalysts as the intense symmetric ligand vibrations allow determination of the oxidation and spin states of the bound iron with high fidelity. The rate of O2 reduction could be tuned up by 3 orders of magnitude by incorporating residues in the catalyst design that can exert "push" or "pull" effects, that is, axial phenolate and thiolate ligands and distal arginine residues. Similarly the rate of O-O bond cleavage can be enhanced by several orders of magnitude upon incorporating a distal Cu site and installing the active site in a hydrophobic protein environment in synthetic models and biosynthetic protein scaffolds. The selectivity, however, is solely determined by the site of protonation of a ferric peroxide (FeIII-OOH) intermediate and can be governed by installing preorganized second sphere residues in the distal pocket. The 4e-/4H+ reduction of O2 entails protonation of the distal oxygen of the FeIII-OOH species, while 2e-/2H+ reduction requires the proximal oxygen to be protonated. Mechanistic investigations of CO2 reduction by iron porphyrins reveal that the rate-determining step is the C-O bond cleavage of a FeII-COOH species analogous to the O-O bond cleavage step of a FeIII-OOH species in O2 reduction. The selectivity, resulting in either CO or HCOOH, is determined by the site of protonation of this species. These similarities suggests that the chemical principles governing the rate and selectivity of reduction of small molecules like O2, CO2, NOx, and SOx may be quite similar in nature.

Direct observation of intermediates formed during steady-state electrocatalytic O2 reduction by iron porphyrins.

Heme/porphyrin-based electrocatalysts (both synthetic and natural) have been known to catalyze electrochemical O2, H(+), and CO2 reduction for more than five decades. So far, no direct spectroscopic investigations of intermediates formed on the electrodes during these processes have been reported; and this has limited detailed understanding of the mechanism of these catalysts, which is key to their development. Rotating disk electrochemistry coupled to resonance Raman spectroscopy is reported for iron porphyrin electrocatalysts that reduce O2 in buffered aqueous solutions. Unlike conventional single-turnover intermediate trapping experiments, these experiments probe the system while it is under steady state. A combination of oxidation and spin-state marker bands and metal ligand vibrations (identified using isotopically enriched substrates) allow in situ identification of O2-derived intermediates formed on the electrode surface. This approach, combining dynamic electrochemistry with resonance Raman spectroscopy, may be routinely used to investigate a plethora of metalloporphyrin complexes and heme enzymes used as electrocatalysts for small-molecule activation.

Electrocatalytic O2-Reduction by Synthetic Cytochrome c Oxidase Mimics: Identification of a "Bridging Peroxo" Intermediate Involved in Facile 4e(-)/4H(+) O2-Reduction.

A synthetic heme-Cu CcO model complex shows selective and highly efficient electrocatalytic 4e(-)/4H(+) O2-reduction to H2O with a large catalytic rate (>10(5) M(-1) s(-1)). While the heme-Cu model (FeCu) shows almost exclusive 4e(-)/4H(+) reduction of O2 to H2O (detected using ring disk electrochemistry and rotating ring disk electrochemistry), when imidazole is bound to the heme (Fe(Im)Cu), this same selective O2-reduction to water occurs only under slow electron fluxes. Surface enhanced resonance Raman spectroscopy coupled to dynamic electrochemistry data suggests the formation of a bridging peroxide intermediate during O2-reduction by both complexes under steady state reaction conditions, indicating that O-O bond heterolysis is likely to be the rate-determining step (RDS) at the mass transfer limited region. The O-O vibrational frequencies at 819 cm(-1) in (16)O2 (759 cm(-1) in (18)O2) for the FeCu complex and at 847 cm(-1) (786 cm(-1)) for the Fe(Im)Cu complex, indicate the formation of side-on and end-on bridging Fe-peroxo-Cu intermediates, respectively, during O2-reduction in an aqueous environment. These data suggest that side-on bridging peroxide intermediates are involved in fast and selective O2-reduction in these synthetic complexes. The greater amount of H2O2 production by the imidazole bound complex under fast electron transfer is due to 1e(-)/1H(+) O2-reduction by the distal Cu where O2 binding to the water bound low spin Fe(II) complex is inhibited.

Concerted proton-electron transfer in electrocatalytic O2 reduction by iron porphyrin complexes: axial ligands tuning H/D isotope effect.

The electrochemical O2 reduction by thiolate- and imidazole-bound iron porphyrin complexes and H/D isotope effects on 4e(-) (determined by rotating disc electrochemistry) and 2e(-) (determined by rotating ring disc electrochemistry) O2 reduction rates are investigated. The results indicate that a thiolate axial ligand shows an H/D isotope effect greater than 18 and 47 for the 4e(-) and 2e(-) O2 reductions, respectively. Alternatively, an imidazole axial ligand results in H/D isotope effects of 1.04 and 4.7 for the 4e(-) and 2e(-) O2 reduction, respectively. The catalytic O2 reduction mechanism is investigated in situ with resonance Raman coupled with rotating disc electrochemistry. The data indicate that the rate-determining step changes from O-O bond heterolysis of Fe(III)-OOH species for a thiolate axial ligand to an O-O bond heterolysis of an Fe(II)-OOH for an imidazole axial ligand.

Effect of axial ligand, spin state, and hydrogen bonding on the inner-sphere reorganization energies of functional models of cytochrome P450.

Using a combination of self-assembly and synthesis, bioinspired electrodes having dilute iron porphyrin active sites bound to axial thiolate and imidazole axial ligands are created atop self-assembled monolayers (SAMs). Resonance Raman data indicate that a picket fence architecture results in a high-spin (HS) ground state (GS) in these complexes and a hydrogen-bonding triazole architecture results in a low-spin (LS) ground state. The reorganization energies (λ) of these thiolate- and imidazole-bound iron porphyrin sites for both HS and LS states are experimentally determined. The λ of 5C HS imidazole and thiolate-bound iron porphyrin active sites are 10-16 kJ/mol, which are lower than their 6C LS counterparts. Density functional theory (DFT) calculations reproduce these data and indicate that the presence of significant electronic relaxation from the ligand system lowers the geometric relaxation and results in very low λ in these 5C HS active sites. These calculations indicate that loss of one-half a π bond during redox in a LS thiolate bound active site is responsible for its higher λ relative to a σ-donor ligand-like imidazole. Hydrogen bonding to the axial ligand leads to a significant increase in λ irrespective of the spin state of the iron center. The results suggest that while the hydrogen bonding to the thiolate in the 5C HS thiolate bound active site of cytochrome P450 (cyp450) shifts the potential up, resulting in a negative ΔG, it also increases λ resulting in an overall low barrier for the electron transfer process.

Ammonium tetrathiomolybdate: a versatile catalyst for hydrogen evolution reaction from water under ambient and hostile conditions.

The lack of catalysts that can selectively reduce protons to produce hydrogen from water in the presence of oxygen and other conventional inhibitors of hydrogen evolution reaction (HER) has been a fundamental problem stalling the development of a practical hydrogen economy. Ammonium tetrathiomolybdate (ATM), a common laboratory reagent, spontaneously assembles on Au electrodes. Atomic force microscopy, scanning electron microscopy, and X-ray photoelectron spectroscopy data indicate formation of multiple layers of ATM which are stable over a wide pH range for days. These assemblies can produce hydrogen with very low onset potentials. It shows a turnover rate of 1.4 s(-1) and turnover number >5 × 10(4) in pH 7 at 180 mV overpotential. The pH dependence of the peak potential suggests that the generation of H2 from water proceeds likely via a ligand based proton coupled electron transfer process which precludes inhibition by O2. The ATM functionalized Au electrodes are found to efficiently catalyze HER in saline rich, CO saturated, and sulfide rich water sources with minimal inhibition of catalytic activity.

Electrocatalytic O2 reduction reaction by synthetic analogues of cytochrome P450 and myoglobin: in-situ resonance Raman and dynamic electrochemistry investigations.

Bioinspired electrodes have been constructed by physiabsorption of two air stable iron porphyrin complexes, one bearing an imidazole coordination and the other bearing a thiolate coordination. To control the electron transfer (ET) rate to these O2 reducing electrocatalysts, the complexes were immobilized on edge plane graphite electrode and alkyl thiol self-assembled monolayer (SAM) modified Au electrodes with varying chain lengths of the thiols. Catalyst immobilized SAM modified surfaces were characterized using surface enhanced resonance Raman spectroscopy (SERRS), and their electrocatalytic O2 reduction properties were investigated using rotating ring disc electrochemistry (RRDE). While the imidazole bound complex showed increase in partially reduced oxygen species (PROS) on decreasing ET rate, the thiolate bound complex showed the opposite trend, that is, the value of PROS reduced on decreasing the ET rate. SERRS coupled to rotating disc electrochemistry (SERRS-RDE) technique helps gain insight into the O2 reduction mechanism. The results obtained indicate that while the imidazole bound iron porphyrin complex reduces O2 through an inner sphere mechanism using a high-spin (HS) Fe(II) species, the thiolate ligated complex shows an inner sphere as well as outer sphere mechanism using a HS Fe(II) and low-spin (LS) Fe(II) species, respectively. The PROS formation by a HS Fe(II) species of this thiolate bound complex increases with decreasing ET rates while that of a LS Fe(II) species decreases with decreasing ET rates.

Resonance Raman and electrocatalytic behavior of thiolate and imidazole bound iron porphyrin complexes on self assembled monolayers: functional modeling of cytochrome P450.

Electrodes bearing thiolate and imidazole coordinated iron porphyrin catalysts are constructed and characterized using resonance Raman spectroscopy, absorption spectroscopy, and electrochemistry. The cyclic voltammetry data and their pH dependences are used to establish the nature of the exchangeable trans ligands in both of these cases. In situ monitoring of partially reduced oxygen species (PROS) produced during O(2) reduction using rotating ring disc electrochemistry (RRDE) experiments provide direct insight into the "push-effect" of the thiolate ligand. The thiolate bound iron porphyrin electrode generates highly oxidizing species on the electrode during electrocatalytic O(2) reductions which are very reactive. These surfaces can utilize these oxidants to catalytically hydroxylate strong C-H bonds using molecular O(2) with turnover numbers as high as 200.

Second sphere control of redox catalysis: selective reduction of O2 to O2- or H2O by an iron porphyrin catalyst.

"Click" reaction has been utilized to synthesize porphyrin ligands possessing distal superstructures functionalized with ferrocenes, carboxylic acid esters, and phenols. Both structural and spectroscopic evidence indicate that hydrogen bonding interaction between the triazole residues resulting from the "click" reaction promotes axial ligand binding into the sterically demanding distal pocket in preference to the open proximal side. An iron porphyrin complex with four ferrocene groups is found to bind O(2) and quantitatively reduce it by one electron to O(2)(-) in apolar organic solvents. However the same complex electro-catalytically reduces O(2) by four electrons to H(2)O in aqueous medium under fast, moderate, and slow electron fluxes. This selectivity for O(2) reduction is governed by the reduction potential of the electron transfer site (i.e., ferrocene) which in turn is governed by the solvent. This catalyst mimics control of catalysis of an enzyme active site by a second sphere electron transfer residue which is often encountered in naturally occurring metallo-enzymes.

O2 reduction reaction by biologically relevant anionic ligand bound iron porphyrin complexes.

Iron porphyrin complex with a covalently attached thiolate ligand and another with a covalently attached phenolate ligand has been synthesized. The thiolate bound complex shows spectroscopic features characteristic of P450, including the hallmark absorption spectrum of the CO adduct. Electrocatalytic O2 reduction by this complex, which bears a terminal alkyne group, is investigated by both physiabsorbing on graphite surfaces (fast electron transfer rates) and covalent attachment to azide terminated self-assembled monolayer (physiologically relevant electron transfer rates) using the terminal alkyne group. Analysis of the steady state electrochemical kinetics reveals that this catalyst can selectively reduce O2 to H2O with a second-order k(cat.) ~10(7) M(-1 )s(-1) at pH 7. The analogous phenolate bound iron porphyrin complex reduces O2 with a second-order rate constant of 10(5) M(-1) s(-1) under the same conditions. The anionic ligand bound iron porphyrin complexes catalyze oxygen reduction reactions faster than any known synthetic heme porphyrin analogues. The kinetic parameters of O2 reduction of the synthetic thiolate bound complex, which is devoid of any second sphere effects present in protein active sites, provide fundamental insight into the role of the protein environment in tuning the reactivity of thiolate bound iron porphyrin containing metalloenzymes.

Cobalt corrole catalyst for efficient hydrogen evolution reaction from H2O under ambient conditions: reactivity, spectroscopy, and density functional theory calculations.

The feasibility of a hydrogen-based economy relies very much on the availability of catalysts for the hydrogen evolution reaction (HER) that are not based on Pt or other noble elements. Significant breakthroughs have been achieved with certain first row transition metal complexes in terms of low overpotentials and large turnover rates, but the majority of reported work utilized purified and deoxygenated solvents (most commonly mixtures of organic solvents/acids). Realizing that the design of earth abundant metal catalysts that operate under truly ambient conditions remains an unresolved challenge, we have now developed an electronically tuned Co(III) corrole that can catalyze the HER from aqueous sulfuric acid at as low as -0.3 V vs NHE, with a turnover frequency of 600 s(-1) and ≫10(7) catalytic turnovers. Under aerobic conditions, using H2O from naturally available sources without any pretreatment, the same complex catalyzes the reduction of H(+) with a Faradaic Yield (FY) of 52%. Density functional theory (DFT) calculations indicate that the electron density on a putative hydride species is delocalized off from the H atom into the macrocycle. This makes the protonation of a [Co(III)-H](-) species the rate determining step (rds) for the HER consistent with the experimental data.

A 'through-DNA' mechanism for metal uptake-vs.-efflux regulation.

Transition metals like Zn are essential for all organisms including bacteria, but fluctuations of their concentrations in the cell can be lethal. Organisms have thus evolved complex mechanisms for cellular metal homeostasis. One mechanistic paradigm involves pairs of transcription regulators sensing intracellular metal concentrations to regulate metal uptake and efflux. Here we report that Zur and ZntR, a prototypical pair of regulators for Zn uptake and efflux in E. coli , respectively, can coordinate their regulation through DNA, besides sensing cellular Zn 2+ concentrations. Using a combination of live-cell single-molecule tracking and in vitro single-molecule FRET measurements, we show that unmetallated ZntR can enhance the unbinding kinetics of Zur from DNA by directly acting on Zur-DNA complexes, possibly through forming heteromeric ternary and quaternary complexes that involve both protein-DNA and protein-protein interactions. This 'through-DNA' mechanism may functionally facilitate the switching in Zn uptake regulation when bacteria encounter changing Zn environments; it could also be relevant for regulating the uptake-vs.-efflux of various metals across different bacterial species and yeast.

Self-assembled monolayers of Aß peptides on Au electrodes: an artificial platform for probing the reactivity of redox active metals and cofactors relevant to Alzheimer's disease.

The water-soluble hydrophilic part of human Aß peptide has been extended to include a C-terminal cysteine residue. Utilizing the thiol functionality of this cysteine residue, self-assembled monolayers (SAM) of these peptides are formed on Au electrodes. Atomic force microscopy imaging confirms formation of small Aß aggregates on the surface of the electrode. These aggregates bind redox active metals like Cu and cofactors like heme, both of which are proposed to generate toxic partially reduced oxygen species (PROS) and play a vital role in Alzheimer's disease. The spectroscopic and electrochemical properties of these Cu and heme bound Aß SAM are similar to those reported for the soluble Cu and heme bound Aß peptide. Experiments performed on these Aß-SAM electrodes clearly demonstrate that (1) heme bound Aß is kinetically more competent in reducing O(2) than Cu bound Aß, (2) under physiological conditions the reduced Cu site produces twice as much PROS (measured in situ) than the reduced heme site, and (3) chelators like clioquinol remove Cu from these aggregates, while drugs like methylene blue inhibit O(2) reactivity of the heme cofactor. This artificial construct provides a very easy platform for investigating potential drugs affecting aggregation of human Aß peptides and PROS generation by its complexes with redox active metals and cofactors.

Site-specific covalent attachment of heme proteins on self-assembled monolayers.

Naturally occurring hemin cofactor has been functionalized to introduce two terminal alkyne groups. This modified hemin has been successfully covalently attached to mixed self-assembled monolayers of alkanethiols and azide-terminated alkanethiols on gold electrodes using a Cu(I)-catalyzed 1,3-cycloaddition reaction. However these hemin-modified electrodes could not be used to reconstitute apomyoglobin on gold electrodes owing to the hydrophobicity of the alkane thiol self-assembled monolayer. Modification of existing techniques allowed covalent attachment of alkyne-terminated electroactive species onto mixed monolayers of azidothiols and carboxylatoalkanethiols on electrodes using the same Cu(I)-catalyzed 1,3-cycloaddition reaction. Apomyoglobin could be reconstituted using the hemin covalently attached to these hydrophilic electrodes. The electrochemical data, UV-vis absorption data, surface-enhanced resonance Raman spectroscopy data, and atomic force microscopy data indicate the presence of these modified myoglobin proteins on these electrodes. The direct attachment of the heme cofactor of these modified myoglobin proteins to the electrode allows fast electron transfer to the heme center from the electrode and affords efficient O(2)-reducing bioelectrodes under physiological conditions.

Metal Binding to Aß Peptides Inhibits Interaction with Cytochrome c: Insights from Abiological Constructs.

Aß(1-40) peptide is mutated to introduce cysteine residue to allow formation of organized self-assembled monolayers (SAMs) on Au electrodes. Three mutants of this peptide are produced, which vary in the position of the inserted cysteine residue. Fourier transform infrared data on these peptide SAMs show the presence of both α helices and ß sheet in these Aß constructs. These peptide constructs interact with cytochrome c (Cytc), allowing electron transfer between Cytc and the electrode via the Aß peptides. Binding of metals like Zn2+ or Cu2+ induces changes in the morphologies of these assemblies, making them fold, which inhibits their spontaneous interaction with Cytc.

Second sphere control of spin state: Differential tuning of axial ligand bonds in ferric porphyrin complexes by hydrogen bonding.

An iron porphyrin with a pre-organized hydrogen bonding (H-Bonding) distal architecture is utilized to avoid the inherent loss of entropy associated with H-Bonding from solvent (water) and mimic the behavior of metallo-enzyme active sites attributed to H-Bonding interactions of active site with the 2nd sphere residues. Resonance Raman (rR) data on these iron porphyrin complexes indicate that H-Bonding to an axial ligand like hydroxide can result in both stronger or weaker Fe(III)-OH bond relative to iron porphyrin complexes. The 6-coordinate (6C) complexes bearing water derived axial ligands, trans to imidazole or thiolate axial ligand with H-Bonding stabilize a low spin (LS) ground state (GS) when a complex without H-Bonding stabilizes a high spin (HS) ground state. DFT calculations reproduce the trend in the experimental data and provide a mechanism of how H-Bonding can indeed lead to stronger metal ligand bonds when the axial ligand donates an H-Bond and lead to weaker metal ligand bonds when the axial ligand accepts an H-Bond. The experimental and computational results explain how a weak Fe(III)-OH bond (due to H-Bonding) can lead to the stabilization of low spin ground state in synthetic mimics and in enzymes containing iron porphyrin active sites. H-Bonding to a water ligand bound to a reduced ferrous active site can only strengthen the Fe(II)-OH2 bond and thus exclusion of water and hydrophilic residues from distal sites of O2 binding/activating heme proteins is necessary to avoid inhibition of O2 binding by water. These results help demonstrate the predominant role played by H-Bonding and subtle changes in its orientation in determining the geometric and electronic structure of iron porphyrin based active sites in nature.

Heme bound amylin self-assembled monolayers on an Au electrode: an efficient bio-electrode for O2 reduction to H2O.

Self-assembled monolayers of the water soluble hydrophilic part of naturally occurring amylin and its Arg11 mutant have been assembled on an Au surface, which are found to efficiently catalyze selective 4e(-)/4H(+) O2 reduction reaction (ORR) upon binding heme with a kcat of ∼10(7) M(-1) s(-1) under ambient conditions, where the Arg11 residue plays the key role of proton transfer in determining the rate of ORR.

Self-assembly of stable oligomeric and fibrillar aggregates of Aß peptides relevant to Alzheimer's disease: morphology dependent Cu/heme toxicity and inhibition of PROS generation.

Large and small aggregates of Aß peptides, resembling the morphology and dimensions of fibrillar and oligomeric forms of Aß respectively, relevant to Alzheimer's disease, are stabilized on electrodes using self-assembly. Both of these forms were found to bind redox active Cu and heme, resulting in active sites having distinctive biophysical properties. The reduced metal bound Aß active sites of both the oligomeric and fibrillar forms of Aß produce detrimental partially reduced oxygen species (PROS). While the larger aggregates of heme-Aß produce more PROS in situ, the smaller aggregates of Cu-Aß produce more PROS. 8-Hydroxy quinoline and methylene blue are inhibitors of Cu and heme bound Aß respectively, and are shown to efficiently reduce PROS formation in the oligomeric forms. However, these inhibitors are ineffective in reducing the toxicities of the Cu and heme bound Aß peptides in the fibrils, making them significantly more lethal than the smaller Aß aggregates.