Cu(II)–poly(L-arginine) complexes. Potentiometric and spectral characterization of amine and peptide nitrogen ligands

The study of Cu(II)–poly(L -arginine) complexes by potentiometric titration, as well as by optical, circular dichroism, and infrared spectra, provides information about the nature of ligands and the coordination sphere around the metal ion. Three different complexes have been identified. The first, which is formed below pH 8, contains two guanidinium nitrogens and two water molecules at the corners of the coordination square. The constant of the overall process as determined by the Gregor method equals 2.0 ± 0.1 × 10^?9. The two other complexes form between pH 8 and 10.5 and they contain two guanidinium and two peptide nitrogens as nearest ligands. One of them is a monomer and the other probably a dimer, which differ in the symmetry of the coordination sphere around the cupric ion. The optical spectra of the three complexes show an absorption band at 260 nm that we have assigned to a charge-transfer transition between a σ metal nitrogen (amine) molecular orbital and a d_x2_?y2 metal orbital. The spectra of the two complexes containing peptide nitrogens exhibit another absorption band at 320 nm, which we have assigned to a charge transfer from a π orbital of the amide group to the d_x2_?y2 metal orbital.     

Effect of temperature and pH on the β–helix transition of poly(L-lysine) in sodium dodecyl sulfate solution

The conformational phase diagram of poly(L -lysine) (4.6 × 10^?4 M, residue) in sodium dodecyl sulfate (1.6 × 10^?2 M) solution was constructed from circular dichroism results at various temperatures and pH's. Poly(L -lysine)–sodium dodecyl sulfate complexes undergo a β–helix transition upon raising the pH of the solution. The transition pH tends to shift downward at elevated temperatures. No helix–β transition can be detected for poly(L -lysine) in sodium dodecyl sulfate solution (pH > 11) even after 1-hr heating at 70°C. This is in marked contrast with uncharged poly(L -lysine) solution without sodium dodecyl sulfate, which is converted into the β-form upon mild heating of the solution above 50°C.     

Imidazolate-bridged dicopper(II) and copper(II)–zinc(II) complexes of macrocyclic ligand with methylimidazol pendants: Model study of copper(II)–zinc(II) superoxide dismutase

Two new homo- and hetero-dinuclear complexes, [Cu₂L(im)](ClO₄)₃4H₂O (1) and [CuZnL(im)](ClO₄)₃4H₂O (2) (where Im=1H-1midazole and L = 3, 6, 9, 16, 19, 22-hexaaza-6, 19-bis(1H-imidazol-4-ylmethyl)tricycle[22, 2, 2, 2^11,14]triaconta-1, 11, 13, 24, 27, 29-hexaene) were synthesized and characterized as model compounds for the active site of copper(II)–zinc(II) superoxide dismutase (Cu₂Zn₂–SOD). X-ray crystal structure analysis revealed that the metal centers in both complexes exhibit distorted trigonal-bipyramid coordination geometry and the CuCu and CuZn distances are both 6.02 Å. Magnetic and ESR spectral measurements of 1 showed antiferromagnetic exchange interactions between the imidazolate-bridged Cu(II) ions. The ESR spectrum of 2 displays typical signals of mononuclear Cu(II) complex, demonstrating the formation of heterodinuclear complex 2 rather than a mixture of homodinuclear Cu(II)/Zn(II) complexes. pH-dependent ESR and UV–visible spectral measurements manifest that the imidazolate exists as a bridging ligand from pH 6 to 11 for both complexes. The IC₅₀ values of 1.96 and 1.57 μM [per Cu(II) ion] for 1 and 2 suggest that they are good models for the Cu₂Zn₂–SOD.     

Metal complexs of poly (α-amino acids): Cu(II) chelates of acetoacetylated poly(L-lysine), poly(L-ornithine), and poly(L-diaminobutyric acid)

The cupric complexes of poly(N^ε-acetoacetyl-L -lysine), [Lys(Acac)]_n′ poly(N^δ-acetoacetyl-L -ornithine), [Orn(Acac)]_n′ and poly(N^γ-acetoacetyl-L -diaminobutyric acid), [A₂bu-(Acac)]_n, as well as of the model compound n-hexyl acetoacetamide, have been investigated by means of absorption, potentiometric, equilibrium dialysis, and CD measurements. While in the complex of the model compound, one chelating group is bound to one cupric ion, in the polymeric complexes two β-ketoamide groups are bound to Cu(II) under the same experimental conditions. The binding constant of cupric ions to the three polymers and the formation constant of the Cu(II)-nhexylacetoacetamide complex have been evluated. Investigation on the chiroptical properties of the three polymeric complexes shows that the peptide backbone does not undergo conformational transitions, remaining α-helical when up to 20% of the side chains are bound to Cu(II). The optical activity of the β-ketoamide chromophores is substantially affected by complex formation and is discussed in terms of asymmetric induction from the chiral backbone.     

Investigations of different chemiluminescent peaks in H2O2–SCN−–Cu2+–OH−–luminol flow system

In the H₂O₂–SCN^?–Cu²⁺–OH^?–luminol oscillatory system of chemiluminescence, the effects of the ingredient concentrations, temperature, flow rate and complexing agent on the oscillatory dynamics were investigated in a continuous‐flow stirred tank reactor (CSTR). The dynamical structure of two peaks during a period was discussed in detail. By addition of EDTA to the oscillating system, the peak I height decreased sharply while the peak II height was little affected, and the period kept constant. This may be due to the fast reaction between Cu(II) and EDTA and the highly stable complex Cu(II)–EDTA. From the experimental study and mechanism analysis, the chemiluminescent peak I corresponds to Cu(II) → Cu(I) transformation and the peak II corresponds to the Cu(I) → Cu(II) transformation process. The key species involving in the two‐transformation process are inferred to be superoxide radical and hydroxyl radical. Copyright © 2010 John Wiley & Son, Ltd.     

Chiral copper(I)—thiolate clusters in metallothionein and glutathione

Metallothionein (MT) is a ubiquitous mammalian protein comprising 61 or 62 nonaromatic amino acids of which 20 are cysteine residues. The high sulfhydryl content imparts to this protein a unique and remarkable ability to bind multiple metal ions in structurally significant metal–thiolate clusters. MT can bind seven divalent metal ions per protein molecule in two domains with exclusive tetrahedral metal coordination. The domain stoichiometries for the M₇S₂₀ structure are M₄(S_cys)₁₁ (α domain) and M₃(S_cys)₉ (β domain). Up to 12 Cu(I) ions can displace the 7 Zn²⁺ ions bound per molecule in Zn₇–MT. The incoming Cu(I) ions adopt a trigonal planar geometry with domain stoichiometries for the Cu₁₂S₂₀ structure of Cu₆(S_cys)₁₁ and Cu₆(S_cys)₉ for the α and β domains, respectively. The circular dichroism (CD) spectra recorded as Cu⁺ is added to Zn₇–MT to form Cu₁₂–MT directly report structural changes that take place in the metal binding region. The spectrum arises under charge transfer transitions between the cysteine S and the Cu(I); because the Cu(I)–thiolate cluster units are located within the chiral binding site, intensities in the CD spectrum are directly related to changes in the binding site. The CD technique clearly indicates stoichiometries of several Cu(I)–MT species. Model Cu(I)–thiolate complexes, using the tripeptide glutathione as the sulfhydryl source, were examined by CD spectroscopy to obtain transition energies and the Cu(I)–thiolate coordination geometries which correspond to these bands. Possible structures for the Cu(I)–thiolate clusters in the α and β domains of Cu₁₂–MT are proposed. © 1994 Wiley-Liss, Inc.     

Chiral Discrimination of Ofloxacin Enantiomers Using DNA Double Helix Regulated by Metal Ions

DNA‐based chiral selectors are constructed to discriminate ofloxacin enantiomers through metal‐ion anchoring on a special DNA double helix that contains successive GC pairs. The effects of metal ions involving Mg²⁺, Ni²⁺, Cu²⁺, Ag⁺, and Pt²⁺ were studied on the regulation of DNA chiral discrimination towards ofloxacin enantiomers. It is shown that DNA‐Cu(II) complexes exhibit the highest enantioselectivities at the [Cu²⁺]/base ratio of 0.1. The enantiomeric excess can reach 59% in R‐enantiomer after being adsorbed by the RET‐Cu(II) complex. Stereoselective recognition of ofloxacin enantiomers on the double helix is tunable via external stimulus, providing a programmable desorption process to regenerate DNA. This DNA‐based chiral selector exhibits excellent reusability without apparent loss of enantioselectivity after three cycles of adsorption and desorption. Chirality 26:249–254, 2014. © 2014 Wiley Periodicals, Inc.     

Poly(L–lysine)–DNA interactions in NaCl solutions: B → C and B → ψ Transitions

Thermal denaturation and circular dichroism (CD) properties of poly(L -lysine)–DNA complexes vary greatly when these complexes are prepared differently, that is, whether by NaCl-gradient dialysis starting from 2.0 M NaCl or by direct mixing at low salt. These differing properties were investigated in more detail by examining complexes, made by direct mixing in the presence of various concentrations of NaCl, both before and after the NaCl was dialyzed out of the complex solution. The precipitation curves of DNA due to polylysine binding indicate that such binding is noncooperative at zero salt; from 0.1 up to 1.0 M NaCl they exhibit varying degrees of cooperatively. Starting from zero salt, as the NaCl concentration used for complex formation is increased, both the CD and the melting properties of the complexes are shifted from those of directly mixed at zero salt to those of reconstitution: in the CD spectra there is a gradual shift from a B → C transition to a B → ψ transition; thermal denaturation results show a gradual increase in the melting temperatures of both free DNA (t_m) and polylysine-bound DNA (t′_m). The progressive shift from B → C to B → ψ suggests a close relationship between these two transitions. Large aggregates of the complexes do not warrant the appearance of ψ-type CD spectra: ψ-spectra have been obtained in the supernatants of polylysine–DNA complexes made and measured at 1.0 M NaCl while slightly perturbed CD spectra in B → C transition have been observed in turbid solutions of fully covered complexes made at very low salt. If the complexes are made at intermediate salts and dialyzed to a very low salt, although up to 60% of the DNA is still bound by polylysine, the CD spectra of the complexes are shifted back to the B-type CD characteristic of pure DNA.     

Comparison of the helix–coil conformational changes of poly(deoxyadenylate-deoxytymidylate) and poly(deoxyadenylate-deoxythymidylate) induced by variations of hydrogen-ion concentration

Double-helical poly(dG-dC) and poly(dA-dT) are DNA analogs in which the interactions between the two strands of the helix are, respectively, either the stronger G/C type or the weaker A/T type along the entire length of macromolecules. Thus, these synthetic polynucleotides can be considered as representatives of the most stable and the least stable DNA. In the investigations presented here, potentiometric titrations and stopped-flow kinetic experiments were carried out in order to compare the pH-induced helix–coil conformations (10°C and 150mM [Na⁺]) the pH of the helix–coil transition (pH_m) is 12.81 for poly(dG-dC) and 11.76 for poly(dA-dT). The unwinding of double-helical poly(dG-dC) initiated by a sudden change in pH was found to be a simple exponential process with rate constants in the range of 200–600 sec^?1, depending on the final value of the pH jump. The intramolecular double-helix formation of poly(dG-dC) was studied by lowering the pH of the solutions from a value above pH_m to that below pH_m in dilute solutions (15.5 ug/ml [polymer]). Under these conditions, the observed rewinding reactions displayed a major and two exponential phases, all of which were independent of polymer concentration. From the comparison of the results of poly(dA-dT) and poly(dG-dT) would unwind faster than poly(dG-dC). However, if the pH jumps are such that they present the same perturbation of these polymers relative to their pH_m values, no significant differences exist between the rates of helix–coil conformation changes of poly(dA-dT) and poly(dG-dC).     

Enantiomeric Specificity of Biologically Significant Cu(II) and Zn(II) Chromone Complexes Towards DNA

Novel chiral Schiff base ligands (R)/(S)‐2‐amino‐3‐(((1‐hydroxypropan‐2‐yl)imino)methyl)‐4H‐chromen‐4‐one (L₁ and L₂) derived from 2‐amino‐3‐formylchromone and (R/S)‐2‐amino‐1‐propanol and their Cu(II)/Zn(II) complexes ( R1 , S1 , R2 , and S2 ) were synthesized. The complexes were characterized by elemental analysis, infrared (IR), hydrogen (¹H) and carbon (¹³C) nuclear magnetic resonance (NMR), electrospray ionization‐mass spectra (ESI‐MS), and molar conductance measurements. The DNA binding studies of the complexes with calf thymus were carried out by employing different biophysical methods and molecular docking studies that revealed that complexes R1 and S1 prefers the guanine–cytosine‐rich region, whereas R2 and S2 prefers the adenine–thymine residues in the major groove of DNA. The relative trend in K_b values followed the order R1 S1 R2 S2 . This observation together with the findings of circular dichroic and fluorescence studies revealed maximal potential of (R)‐enantiomeric form of complexes to bind DNA. Furthermore, the absorption studies with mononucleotides were also monitored to examine the base‐specific interactions of the complexes that revealed a higher propensity of Cu(II) complexes for guanosine‐5′‐monophosphate disodium salt, whereas Zn(II) complexes preferentially bind to thymidine‐5′‐monophosphate disodium salt. The cleavage activity of R1 and R2 with pBR322 plasmid DNA was examined by gel electrophoresis that revealed that they are good DNA cleavage agents; nevertheless, R1 proved to show better DNA cleavage ability. Topoisomerase II inhibitory activity of complex R1 revealed that the complex inhibits topoisomerase II catalytic activity at a very low concentration (25 μM). Furthermore, in vitro antitumor activity of complexes R1 and S1 were screened against human carcinoma cell lines of different histological origin. Chirality 24:977–986, 2012. © 2012 Wiley Periodicals, Inc.     

Inhibition of bovine plasma amine oxidase by superoxide dismutase active Cu(II) complexes

Aqueous Cu²⁺ and Cu(II) complexes of salicylate, lysine, and tyrosine decrease the rate of benzylamine oxidation by bovine plasma amine oxidase. Bissalicylato Cu(II) and Cu²⁺ inhibit non-competitively with respect to benzylamine. Lysine, tyrosine, Cu(EDTA)^2?, Zn²⁺, and Co²⁺ do not inhibit, and erythrocyte Cu, Zn superoxide dismutase shows only slight inhibition of the amine oxidase. The data are most consistent with an inhibitory mechanism involving dismutation of O₂^? by the Cu(II) complexes within a site relatively inaccessible to the enzyme superoxide dismutase. Excess lysine significantly decreases inhibition by the bis-lysine complex of Cu(II).     

Kinetic studies of the helix–coil transition in aqueous solutions of poly(L-lysine)

The rate of conformational change of aqueous poly(α-L -lysine) solutions was measured using the electric field pulse relaxation method with conductivity detection. The relaxation time as a function of pH exhibits two maxima. One is assigned to a proton transfer reaction and the other to the helix–coil conformational transition. The helix nucleation parameter and the maximum relaxation time yield the rate constant of helix growth process (k_F) according to Schwarz's kinetic theory as k_F = 2 × 10⁷ sec^?1, which is comparable to that of the poly(glutamic acid) solution. The thermodynamic parameters of the helix growth process are compared with those of poly(glutamic acid).     

The Analysis of Cu(II)/Zn(II) Cyclopeptide System as Potential Cu,ZnSOD Mimic Center

In this paper are presented the features of copper (II) and zinc (II) heteronuclear complexes of the cyclic peptide—c(HKHGPG)₂. The coordination properties of ligand were studied by potentiometric, UV–Vis and CD spectroscopic methods. These experiments were carried out in aqueous solutions at 298 K depending on pH. It turned out that in a physiological pH dominates Cu(II)/Zn(II) complex ([CuZnL]⁴⁺) which could mimic the active center of superoxide dismutase (Cu,ZnSOD). In next step we performed in vitro research on Cu,ZnSOD activity for [CuZnL]⁴⁺ complex existing in 7.4 pH by the method of reduction of nitroblue tetrazolium (NBT). Also mono- and di-nuclear copper (II) complexes of this ligand were examined. The ability of inhibition free radical reaction were compared for all complexes. The results of these studies show that Cu(II) mono-, di-nuclear and Cu(II)/Zn(II) complexes becoming to new promising synthetic superoxide dismutase mimetics, and should be considered for further biological assays.     

Turn‐off–on chemiluminescence determination of cyanide

A flow injection chemiluminescence (FI–CL) method was developed for the determination of cyanide (CN⁻) based on the recovered CL signal by Cu²⁺ inhibiting a glutathione (GSH)‐capped CdTe quantum dot (QD) and hydrogen peroxide system. In an alkaline medium, strong CL signals were observed from the reaction of CdTe QDs and H₂O₂, and addition of Cu²⁺ could cause significant CL inhibition of the CdTe QDs–H₂O₂ system. In the presence of CN⁻, Cu²⁺ can be removed from the surface of CdTe QDs via the formation of particularly stable [Cu(CN)_n]^(n‐1)– species, and the CL signal of the CdTe QDs–H₂O₂ system was efficiently recovered. Thus, the CL signals of CdTe QDs–H₂O₂ system were turned off and turned on by the addition of Cu²⁺ and CN⁻, respectively. Further, the results showed that among the tested ions, only CN⁻ could recover the CL signal, which suggested that the CdTe QDs–H₂O₂–Cu²⁺ CL system had highly selectivity for CN⁻. Under optimum conditions, the CL intensity and the concentration of CN⁻ show a good linear relationship in the range 0.0–650.0 ng/mL (R² = 0.9996). The limit of detection for CN⁻ was 6.0 ng/mL (3σ). This method has been applied to detect CN⁻ in river water and industrial wastewater with satisfactory results. Copyright © 2014 John Wiley & Sons, Ltd.     

Spectroscopic studies on the copper(II)—Inosine system

Interactions of inosine derivatives with copper(II) were studied in the pH range 1.4–13 in 50% H₂O-50% DMSO solution. The distinct pH dependence of the optical spectra observed in copper(II)-inosine complexes are correlated to their respective EPR changes as a function of pH. It was concluded that a simple 1:1 complex of copper(II)-inosine is formed in the pH range 1.4–5.0 and bis complexes are present in the pH 5.0–6.2 region solutions of inosine and Cu(II). From pH 6.2 to 7.8 a diamagnetic, hydroxybridged complex dominates. At pH 7.8–9.2 an insoluble, oxybridged species is formed in addition to the soluble paramagnetic Cu(NI)₄ complex. Starting from pH 9.1 the N-polymeric complex is formed which is stable up to pH 12.5, and above pH 12.5 the only species is the Cu(ribose)₂ complex.     

High Power Factors of Thermoelectric Colusites Cu26T2Ge6S32 (T = Cr,Mo, W): Toward Functionalization of the Conductive “Cu–S” Network

The introduction of hexavalent T⁶⁺ cations in p‐type thermoelectric colusites Cu₂₆T₂Ge₆S₃₂ (T = Cr, Mo, W) leads to the highest power factors among iono‐covalent sulfides, ranging from 1.17 mW m^?1 K^?2 at 700 K for W to a value of 1.94 mW m^?1 K^?2 for Cr. In Cu₂₆Cr₂Ge₆S₃₂, ZT reaches values close to unity at 700 K. The improvement of the transport properties in these new sulfides is explained on the basis of electronic structure and transport calculations keeping in mind that the relaxation time is significantly influenced by the size and the electronegativity of the interstitial T cation. The rationale is based on the concept of a conductive “Cu–S” network, which in colusites corresponds to the more symmetric parent structure sphalerite. A detailed structural analysis of these colusites shows that the distortion of the conductive network is influenced by the presence in the structure of mixed octahedral–tetrahedral [TS₄]Cu₆ complexes where the T cations are underbonded to sulfur and form metal–metal interactions with copper, Cu–T distances decreasing from 2.76 Å for W to 2.71 Å for Cr. The interactions between these complexes are responsible for the outstanding electronic transport properties. By contrast, the thermal conductivity is not significantly affected.     

Electric dichroism studies on ferriheme– and ferroheme–poly(L-lysine) complexes at pH 9–12

Transient electric dichroism has been measured for the ferriheme–poly(L -lysine)[(Lys)_n], ferroheme–(Lys)_n, and ferroheme–(Lys)_n–carbon monoxide (CO) solutions at pH 9–12. The Soret absorption maximum in electronic spectrum (λ), the reduced linear dichroism (ρ_∞) at complete orientation and the calculated angle (?) between the porphyrin plane of a bound heme and the oriented polymer axis are determined for the following complexes: a ferriheme–(Lys)_n complex at pH 9.5–10.5 (λ = 420 nm, ρ_∞ = 0.50, and ? = 19°), a ferroheme–(Lys)_n complex at pH 9.5–10.2 (λ = 432 nm, ρ_∞ = 0.77, and ? = 0°), and a ferroheme–(Lys)_n–CO complex at pH 9.25 (λ = 430 nm, ρ_∞ = 0.38, and ? = 24°). Based on the above data, the validity of the structures of heme–(Lys)_n complexes proposed by other investigators is discussed.     

Superoxide dismutase–mimicking activities of dinuclear Cu(II) complexes with ligands containing a tetrathioether-tetraamino moiety

The superoxide scavenging activities of copper(II) complexes with the ligands, 6,6′-methylene-bis(5′-amino-3′,4′-benzo-2′-thiapentyl)-1,11-diamino-2,3:9,10-dibenzo-4,8-dithiaundecane (H₄L), and 6,6′-bis(5′-amino-3′,4′-benzo-2′-thiapentyl)-1,11-diamino-2,3:9,10-dibenzo-4,8-dithiaundecane (H₄L′), were investigated by xanthine–xanthine oxidase (X/XO) assays using nitroblue tetrazolium (NBT) as indicator molecule, and the results were compared with respect to the particular type of anion (ClO·4, Cl^·, NO·3) on the apical site of the copper(II) complexes. All of the complexes inhibited the reduction of NBT by superoxide radicals, with the [Cu₂(L′)](ClO₄)₂ complex exhibiting the highest scavenging activity against superoxide radicals among the complexes examined. The catalytic efficiency of the complexes for dismutation of superoxide radicals depends on the particular anion liganded to Cu(II) ion in the complexes, and the order of potency was observed to be ClO₄ > Cl > NO·3 in phosphate buffer at pH 7.40. The Cu(II)-H₄L′ complexes had the lowest IC₅₀ and catalytic rate constant values indicating that the distorted geometry of the Cu(II)-H₄L′ complexes influence their catalytic activities for dismutation of superoxide radicals more efficiently. The difference in the activities of the complexes toward superoxide radicals can also be attributed to the nature of the anions on the apical site of the copper(II) complexes and the superoxide dismutase-like activity. © 1997 John Wiley & Sons, Inc. J Biochem Toxicol 12: 53–59, 1998     

Two macrocyclic pentaaza compounds containing pyridine evaluated as novel chelating agents in copper(II) and nickel(II) overload

Two pentaaza macrocycles containing pyridine in the backbone, namely 3,6,9,12,18-pentaazabicyclo[12.3.1]octadeca-1(18),14,16-triene ([15]pyN₅), and 3,6,10,13,19-pentaazabicyclo[13.3.1]nonadeca-1(19),15,17-triene ([16]pyN₅), were synthesized in good yields. The acid-base behaviour of these compounds was studied by potentiometry at 298.2 K in aqueous solution and ionic strength 0.10 M in KNO₃. The protonation sequence of [15]pyN₅ was investigated by ¹H NMR titration that also allowed the determination of protonation constants in D₂O. Binding studies of the two ligands with Ca²⁺, Ni²⁺, Cu²⁺, Zn²⁺, Cd²⁺, and Pb²⁺ metal ions were performed under the same experimental conditions. The results showed that all the complexes formed with the 15-membered ligand, particularly those of Cu²⁺ and especially Ni²⁺, are thermodynamically more stable than with the larger macrocycle. Cyclic voltammetric data showed that the copper(II) complexes of the two macrocycles exhibited analogous behaviour, with a single quasi-reversible one-electron transfer reduction process assigned to the Cu(II)/Cu(I) couple. The UV-visible-near IR spectroscopic and magnetic moment data of the nickel(II) complexes in solution indicated a tetragonal distorted coordination geometry for the metal centre. X-band EPR spectra of the copper(II) complexes are consistent with distorted square pyramidal geometries. The crystal structure of [Cu([15]pyN₅)]²⁺ determined by X-ray diffraction showed the copper(II) centre coordinated to all five macrocyclic nitrogen donors in a distorted square pyramidal environment.     

Helix–coil transition kinetics in aqueous poly(α,L-glutamic acid)

A polarimetric electric-field-jump relaxation apparatus is described and used to determine the relaxation spectrum for the helix–coil transition of poly(α,L -glutamic acid) in water at 24°C. A maximum relaxation time of 1.7 μc occurs at the transition midpoint (pH = 5.9) yielding a rate constant for helical growth of 6 × 10⁷ sec^?1.