Biopolymer–surfactant interaction. I. Kinetics of binding of cetyltrimethyl ammonium bromide with carboxymethyl cellulose (Na Salt)

The kinetics of binding of the cationic surfactant cetyltrimethyl ammonium bromide with the Na salt of carboxymethyl cellulose was studied by the electrometric method using cetyltrimetlyl ammonium⁺ (CTA⁺) ion-selective polyvinyl chloride membrane electrode. The binding process followed the first-order kinetics and occurred in three stages. Its affinity increased with increasing CTA bromide concentration and decreased with ionic strength. The activation process comprised moderate E and ΔH^≠ and negative ΔS^≠ for all three stages with a ΔH^≠ < TδS^≠ trend proving it to be entropy controlled. The ΔG^≠ values followed the trend ΔG < ΔG < ΔG (in accordance with k₁ > k₂ > k₃). The enthalpies (ΔH^≠) and entropies (ΔS^≠) of activation followed a systematic and interdependent trend. The multiple-stage binding kinetics is grossly comparable with the kinetics of binding of proteins to solid surfaces. © 1995 John Wiley & Sons, Inc.     

Polyiodine units in starch–iodine complex: INDO CI study of spectra and comparison with experiments

The starch–iodine blue complex formation does not involve negatively charged iodine species like I, I, or I; rather, neutral iodine units are involved. The heat of reaction is determined to be about ?110 kJ for every mole of I-I unit in the amylose helix, which suggests that the dissociation of I₂ (binding energy 149 kJ/mol) does not take place during the complex formation. Quantum mechanical (INDO CI) calculations indicate that the linear as well as nonlinear polyiodine units, I₆, with interiodine distance of 3.0 Å are responsible for characteristic absorbance bands of the starch–iodine complex. Based on our previous article [(1989) J. Polym. Sci. A 27 , 4161] and the present studies we identify (C₆H₁₀O₅)_16.5I₆ to be the polymeric unit responsible for the characteristic blue color of the complex.     

On the blue color of triiodide ions in starch and starch fractions. I. Characterization and assignment of absorption and circular dichroism spectra of triiodide ions in amylose

Four fundamental Raman lines were observed at 159, 111, 55 and 27 cm^-1 corresponding to the I bound (I) in amyloses with DP from 20 to 100, regardless of the degree of polymerization of I and the excitation wavelength. The spectral resolution was based on the molar extinction coefficient and molar ellipticity spectra of I. Eight bands, named, S₁, S₂, ?, S₈ from long to short wavelength, were isolated. These were found regardless of the DP. By a resonance excitation Raman study, the characteristics of S₃ and S₄, comprising the shoulder around 480 nm, were found to be different from those of S₁ and S₂, comprising the blue band. The assignment of the spectra was based on the electronic states of the monomeric I in the exciton-coupled dimeric unit. It was concluded that the blue band (S₁,S₂) belonged to the long-axis transitions and the shoulder band (S₃,S₄) to the short-axis ones on the monmeric coordinate system.     

Construction of Equi-replicated Balanced Block Designs with Block Sizes Exceeding the Number of Treatments

In this note it is shown that the block design with incidence matrix Ñ = [NN… N], where N = c_1hN_h + c_oh (11′–N_h). c_oh and c_1h are any non-negative integers and N_h,h = 1, 2,…,p, are incidence matrices of balanced incomplete block designs with the same number of treatments t, is a balanced block design with the block sizes exceeding the number of treatments. In derivation the matrix M₀, introduced by CALIński (1971) is utilized.     

Physical association of two simple alkylators to some DNA sequences

Molecular mechanics calculations have been used to determine the preferred physical association sites of the known alkylating agent dimethyl aziridinium ion (Az⁺) and a CH prototype test probe with B-form, tetrameric DNA sequences. Electrostatic interactions are most important in determining these preferential physical association sites. In turn, the intermolecular energy minima depend on the charge distribution assigned to the DNA sequence. However, for three reported DNA charge distributions, only two distinct sets of energy minima were obtained for the CH-like ion interacting with (G-C)₄, (A-T)₄, and [(G-C)·(A-T)]₂ deoxyribonucleic acids. These minima correspond to physical association geometries in which the CH-like ion is near known alkylation sites. The results of the Az⁺ … [(G-C)·(A-T)]₂ interaction are virtually identical to those found for the CH-like ion. Aqueous solvation energetics have little effect on the physical association of Az⁺ with [(G-C)·(A-T)]₂.     

Mean-square hydrophobic moment for partially helical polypeptides

A mean-square helical hydrophobic moment, 〈h²〉, is defined for polypeptides in analogy to the mean-square dipole moment, 〈μ²〉, for polymer chains. For a freely jointed polymer chain, 〈μ²〉 is given by Σm, where m_i denotes the dipole moment associated with bond i. In the absence of any correlations in the hydrophobic moments of individual amino acid residues in the helix, 〈h²〉 is specified by ΣH, where H_i denotes the hydrophobicity of residue i. The tendency for correlations in orientations of residue hydrophobic moments in helices therefore dictates the size of 〈h²〉/〈H²〉, where 〈H²〉 denotes the average value of ΣH for all helices. The value of 〈h²〉/〈H²〉 will be greater than one in amphiphilic helices. A necessary prerequisite for this diagnostic usage of 〈h²〉/〈H²〉 is that the residue hydrophobic moment be oriented prependicular to the principal axis of the helix. Matrix-generation schemes are formulated that permit rapid evaluation of 〈h²〉 and 〈H²〉. The behavior of 〈h²〉/〈H²〉 is illustrated by calculations performed for model sequential copolypeptides.     

Regulation of changes in cytosolic Ca2+ and Na+ concentrations in rat submandibular gland acini exposed to carbachol and ATP

The relationship between cytosolic concentrations of Ca²⁺ (Ca) and Na⁺ (Na) were studied in preparations of rat submandibular and pancreatic acini loaded with the Ca²⁺-sensitive dye Fura-2 or the Na⁺-sensitive dye SBFI. Pancreatic acini showed no changes in Na during either transient or persistent changes in Ca. Increases in Ca produced by exposure of submandibular gland acini to carbachol, a muscarinic cholinergic agonist, were followed by an increase in Na after a delay of 5–10 s. When Ca²⁺ stores were mobilized without Ca²⁺ influx Na also increased, but in acini loaded with BAPTA, a nonfluorescent Ca²⁺ chelator, the transient increase in Ca²⁺ caused by mobilization of stored Ca²⁺ was virtually abolished, as was the increase in Na. In the presence of ionomycin, increases in Ca were followed by increases in Na. Ca²⁺-dependent increases in Na were abolished in Na⁺-free buffer and by the presence of furosemide, a blocker of Na⁺-K⁺-2Cl⁻ cotransport. In other studies, extracellular ATP (ATP_o) produced an increase in Ca and Na. The steady-state increase in Ca was reduced by increasing extracellular Na⁺ concentrations (Na) in dose-dependent fashion (IC₅₀ = 16.4 ± 4.7 mM Na⁺). Likewise, increasing Na reduced ATP_o-stimulated ⁴⁵Ca²⁺ uptake at steady state (IC₅₀ = 15.8 ± 9.2 mM Na⁺). Changing Na had no effect on carbachol-stimulated increases in Ca. We conclude that, in rat submandibular gland acini, ATP_o promotes an increase in Ca and Na via a common influx pathway and that, under physiologic conditions, Na⁺ significantly limits the ATP_o-stimulated increase in Ca. In the presence of carbachol, however, Na rises in Ca-dependent fashion in submandibular gland acini via stimulation of Na⁺-K⁺-2Cl⁻ cotransport. © 1996 Wiley-Liss, Inc.     

On the blue color of triiodide ions in starch and starch fractions. III. Resonance Raman spectra of bluing species in amylose

In order to clarify the characteristics of the basic units responsible for the blue coloring of iodine/iodide in amylose, we made a resonance Raman spectroscopic study at several KI concentrations using excitation by Ar⁺, He-Ne, and Kr⁺ lasers and amyloses with the degrees of polymerization (DP) of 30, 100, 300, and 1000. Similar Raman spectra were observed, regardless of the KI and I₂ concentrations, DP, and excitation wavelengths. Four Raman lines appearing at 159, 111, 55, and 27 cm^?1 were obviously fundamental tones, with a degree of depolarization ρ of ca. 1/3 for every spectrum. However, the internal ratios of the intensities of the 159, 55, and 27 cm^?1 lines to that of the 111-cm^?1 line decreased with increasing KI concentration. Based on the value of ρ, the assignment of the fundamental lines was made by taking a schematic model of the true motions as a projection in separately analyzing the modes of stretching and bending vibrations for a pseudolinear polyiodide chain, which we found to be perturbed by the external forces of the amylose lattice. In accordance with the variation of the force constants from the assignment of the spectra associated with the change in the composition of the bound species, it was concluded that the basic unit changed from I to I through I with decreasing KI concentration.     

Intrinsic viscosity of native and single-stranded T7 DNA and its relationship to sedimentation coefficient

The intrinsic viscosity and sedimentation coefficient, of native and single-stranded T7 DNA have been determined at 25°C as a function of ionic strength in neutral and alkaline NaCl. The relationship between [η] and S_,w is well represented by the Mandelkern-Flory equation over the entire range of conditions between 0.0013 and 1M Na⁺. An apparent discrepancy between the two methods at moderate to high ionic strengths is probably due to a change in V with ionic strength. It appears that [η] is a more sensitive and reliable measure of molecular expansion for native DNA, S_,w but is a better index of conformational change in single strands, since [η] becomes too small to measure conveniently at high ionic strengths. At moderate to high ionic strengths, denaturation leads to a decrease in [η], although unfolded single strands retain considerable viscosity. At sufficiently low ionic strength, the intrinsic viscosity of the single strands becomes higher than that of native DNA, and the effective volume of a single strand approaches that of the native molecule.     

Kinetics of ethidium's intercalation in packaged bacteriophage T7 DNA: effects of DNA packing density

The kinetics of ethidium's intercalative binding to DNA packaged in bacteriophage T7 and two T7 deletion mutants have been determined, using enhancement of fluorescence to quantitate binding. At a constant ethidium concentration, the results can be described as first-order binding with two different rate constants, k (= k₁ + k_?1) and k (= k₂ + k_?2). The larger rate constant (k) was at least four orders of magnitude smaller than the comparable first-order forward rate constant for binding to DNA released from its capsid. At 25°C values of k decreased as the amount of DNA packaged per internal volume increased. This latter observation indicates that the rate of ethidium's binding to packaged T7 DNA is limited by an event that occurs inside of the DNA-containing region of T7, not by the crossing of T7 capsid's outer shell. Arrhenius plots of kM are biphasic, indicating a transition for packaged DNA at a temperature of 20°C. The data indicate that k s are limited by either sieving of ethidium during its passage through the packaged DNA or subsequent hindered intercalation.     

Variable coupling of active NA+ + K+ transport in Ehrlich ascites tumor cells: Regulation by external NA+ and K+

The effects of altered external sodium and potassium concentrations on steady state, active Na⁺ + K⁺ transport in Ehrlich ascites tumor cells have been investigated. Membrane permeability to Na⁺ and K⁺, intracellular [Na⁺] and [K⁺], and membrane potential were measured. Active cation fluxes were calculated as equal and membrane potential were measured. Active cation fluxes were calculated as equal and opposite to the net, diffusional leak fluxes. Elevation of external K⁺ (6–60 Mm)by equivalent replacement of Na⁺ (154–91 mM) inhibits both active Na⁺ and K⁺ fluxes, but not proportionally. This results in a decrease of the coupling ratio (r_p = -J_k^p/J) as external K⁺ is increased. Elevation of external K⁺ (3–68 mM) at constant Na⁺ (92mM) inbibits J, but is without effect on J. The coupling ratio declines from 1.01 ± 0.14 to 0.07 ± 0.05, a 14-fold alteration. Reduction of external Na⁺ (154–25 mM) at constant K⁺ (6mM) depresses J, but is without effect on J. The coupling ratio increases from 0.63 ± 0.04 at 154 mM Na⁺ to 4.5 ± 2.04 at 25 mM Na⁺. The results of this investigation are consistent with the independent regulation of active cation fluxes by the transported species. Kinetic analysis of the data indicates that elevation of external sodium stimulates active sodium efflux by interacting at “modifier sites” at the outer cell surface. Similarly, external potassium inhibits active potassium influx by interaction at separate modifier sites.     

Einfluß extracellulärer Kaliuminoenkonzentrationen auf die celluläre Natriumionenkonzentration von Lodderomyces elongisporus D

It was found that the cellular Na⁺-concentration (C) of Lodderomyces elongisporus D is depended on the extracellular K⁺-concentration (C). The relationship can be described by an equation in the form The function of the natrium ion seem to be to support the utilisation rate of potassium ion at lower extracellular K⁺-concentration.     

Modulation of caffeine contractures in mammalian skeletal muscles by variation of extracellular potassium

Caffeine contractures were induced after K⁺ -conditioning of skeletal muscles from pigs and mice. K⁺ -conditioning is defined as the partial depolarization caused by increasing external potassium (K) with [K⁺]×[Cl^?] constant. Conditioning depolarizations that rendered muscles refractory to brief electrical stimulation still enhanced the contracture tension elicited by subsequent direct caffeine stimulation of sarcoplasmic reticulum (SR) calcium release. The effects of K⁺ -conditioning on caffeine-induced contractures of intact cell bundles reached a maximum at 15–30 mM K and then progressively declined at higher [K⁺]₀. Conditioning with 30 mM K⁺ for 5 min, which inactivates excitation-contraction (EC) coupling in response to action potentials, both increased the magnitude of caffeine contractures 2–10-fold and shifted the contracture threshold toward lower caffeine concentrations. Enhanced sensitivity to caffeine was inhibited by dantrolene (20 μM) and its watersoluble analogue azumolene (150 μM). These drugs decreased caffeine-induced contractures following depolarization with 4–15 mM K⁺ to 25–50% of control tension. The inorganic anion perchlorate (CIO), which like caffeine potentiates twitches, increased caffeine-induced contractures ～? twofold after K⁺ -conditioning (>4 mM). The results suggest that CIO and dantrolene, in addition to caffeine, also influence SR calcium release either directly or by mechanism(s) subsequent to depolarization of the sarcolemma. Moreover, since CIO is known to shift the voltage-dependence of intramembrane charge movement, CIO may exert effects on the transverse-tubule voltage sensors as well as the SR. © 1995 Wiley-Liss, Inc.     

Regulation of the Na+-K+(NH)-2Cl− cotransporter of rat submandibular glands

A cellular suspension from rat submandibular glands was exposed to different concentrations of NH₄Cl, and the variations of the intracellular concentration of calcium ([Ca²⁺]_i) and the intracellular pH (pH_i) were measured using fura-2 and 2′,7′-bis-(2-carboxy-ethyl)-5(6)-carboxyfluorescein. More than 5 mmol/l NH₄Cl significantly increased the [Ca²⁺]_i without affecting the response to 100 µmol/l carbachol. When exposed to 1 and 5 mmol/l NH₄Cl, the cells acidified immediately. At 30 mmol/l, NH₄Cl first alkalinized the cells and the pH_i subsequently dropped. This drop reflects the uptake of NH ions that dissociate to NH₃ and H⁺ in the cytosol. These protons are exchanged for extracellular sodium by the Na⁺/H⁺ exchanger because the presence of an inhibitor of the exchanger in the medium increased the acidification induced by 1 mmol/l NH₄Cl. Ouabain partly blocked the uptake of NH. In the combined presence of ouabain and bumetanide (an inhibitor of the Na⁺-K⁺-2Cl⁻ cotransporter), 1 mmol/l NH₄Cl alkalinized the cells. The contribution of the Na/K ATPase and the Na⁺-K⁺-2Cl⁻ cotransporter in the uptake of NH was independent of the presence of calcium in the medium. Isoproterenol increased the uptake of NH by the cotransporter. Conversely, 1 mmol/l extracellular ATP blocked the basal uptake of NH by the cotransporter. This inhibition was reversed by extracellular magnesium or Coomassie Blue. It was mimicked by benzoyl-ATP but not by CTP, GTP, UTP, ADP, or ADPβS. ATP only slightly inhibited the increase of cyclic AMP (−22%) by isoproterenol but fully blocked the stimulation of the cotransporter by the β-adrenergic agonist. ATP increased the release of ³H-arachidonic acid from prelabeled cells but SK&F 96365, an imidazole-based cytochrome P450 inhibitor, did not affect the inhibition by ATP. It is concluded that the activation of a purinoceptor inhibits the basal and the cyclic AMP-stimulated activity of the Na⁺-K⁺-2Cl⁻ cotransporter. J. Cell. Physiol. 180:422–430, 1999. © 1999 Wiley-Liss, Inc.     

23Na-NMR investigations of counterion exchange reactions of helical DNA

Changes in Δν_½, the nmr linewidth of ²³Na, have been determined during titrations of helical DNA with polyamines (divalent putrescine and trivalent spermidine) and with inorganic cations (Mg²⁺ and Co(NH₃)). In each case additions of a multivalent cation (M^z+) to a solution containing NaDNA and NaCl cause decreases in Δν_½, which is a population-weighted average of contributions from nuclei in bound and free environments. Thus, the binding of M^z+ to DNA displaces sodium ions from regions where the quadrupolar relaxation of ²³Na is relatively efficient. At a given extent of titration, the binding of a polyamine produces a smaller decrease in Δν_½ than does the binding of an inorganic ion of the same valence. The concentration dependence of Δν_½ during the course of a titration can be interpreted most simply as a two-state ion-exchange reaction by assuming that the binding of M^z does not alter R_B, the average relaxation rate of sodium nuclei that remain bound. On the basis of this assumption, the initial linear portions of titration curves can be analyzed to determine upper bounds for r°, the number of sodium ions bound per DNA phosphate in the absence of any competing counterion. Analyzing the titration curves for the four multivalent competitors leads to a range of upper-bound estimates for r°: 0.5–0.8. The differences in these estimates could indicate that polyamines displace fewer sodium ions from DNA than do their smaller inorganic counterparts. Alternatively, the range in upper-bound estimates for r° could also reflect specific differences in the effects of the various multivalent cations on R_B, if this relaxation rate does change during titration.     

Gel electrophoresis measurement of counterion condensation on DNA

We used agarose gel electrophoresis to measure the effective charge neutralization of DNA by counterions of different structure and valence, including Na⁺, Mg²⁺, Co(NH₃), and sperinidine³⁺, which competed for binding with an excess of Tris acetate buffer. Linear DNA molecules ranged in size from 1 to 5 kilobases, and supercoiled plasmid pUC18 was also measured. In all cases, the results were in good agreement with theoretical predict ions from counterion condensation theory for two-counterion mixtures. © 1995 John Wiley & Sons, Inc.     

Magnetic resonance and kinetic studies of the mechanism of membrane-bound sodium and potassium ION-activated adenosine triphosphatase

EPR and water proton relaxation rate (1/T₁) studies of partially (40%) and “fully” (90%) purified preparations of membrane-bound (Na⁺+K⁺) activated ATPase from sheep kidney indicate one tight binding site for Mn²⁺ per enzyme dimer, with a dissociation constant (K_D = 0.88 μM) in agreement with the kinetically determined activator constant, identifying this Mn²⁺-binding site as the active site of the ATPase. Competition studies indicate that Mg²⁺ binds at this site with a dissociation constant of 1 mM in agreement with its activator constant. Inorganic phosphate and methylphosphonate bind to the enzyme-Mn²⁺ complex with similar high affinities and decrease l/T₁ of water protons due t o a decrease from four to three in the number of rapidly exchanging water protons in the coordination sphere of enzyme-bound Mn²⁺. The relative effectiveness of Na⁺ and K⁺ in facilitating ternary complex formation with HPO and CH₃PO as a function of pH indicates that Na⁺ induces the phosphate monoanion t o interact with enzyme-bound Mn²⁺, while K⁺ causes the phosphate dianion to interact with the enzyme-bound Mn²⁺. Thus protonation of an enzyme-bound phosphoryl group would convert a K⁺-binding site to a Na⁺-binding site. Dissociation constants for K⁺ and Na⁺, estimated from NMR titrations, agreed with kinetically determined activator constants of these ions consistent with binding t o the active site. Parallel ³²P_i-binding studies show negligible formation (< 7%) of a covalent E–P complex under these conditions, indicating that the NMR method has detected an additional noncovalent intermediate in ion transport. Ouabain, which increases the extent of phosphorylation of the enzyme to 24% at pH 7.5 and t o 106% at pH 6.1, produced further decreases in l/T 1 of water protons. Preliminary ³¹P-relaxation studies of CH₃PO in the presence of ATPase and Mn²⁺ yield an Mn to P distance (6.9 ± 0.5 Å) suggesting a second sphere enzyme-Mn-ligand-CH₃PO complex. Previous kinetic studies have shown that T1⁺ substitutes for K⁺ in the activation of the enzyme but competes with Na⁺ at higher levels. From the paramagnetic effect of Mn²⁺ at the active site on the enzyme on I/T₁ of ²⁰⁵T1 bound at the Na⁺ site, a Mn²⁺ to T1⁺ distance of 4.0 ± 0.1 Å is calculated, suggesting the sharing of a common ligand atom by Mn²⁺ and T1⁺ on the ATPase. Addition of P. increases this distance to 5.4 Å consistent with the insertion of P between Mn²⁺ and T1⁺. These results are consistent with a mechanism for the \documentclass{article}\pagestyle{empty}\begin{document}$ (\mathop {\rm N}\limits^{\rm i} {\rm a}^{\rm + } {\rm + K}^ +) $\end{document}-ATPase and for ion transport in which the ionization state of Pi at a single enzyme active site controls the binding and transport of Na⁺ and K⁺, and indicate that the transport site for monovalent cations is very near the catalytic site of the ATTase. Our mechanism also accounts for the order of magnitude weaker binding of Na⁺ compared to K⁺.     

Equi-replicated balanced block designs generated by a balanced matrix

In this paper it is shown that if N= \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \sum \limits_{i = 1}^{S_h} $\end{document} c_ihN_ih, where c_ih are some non-negative integer numbers and N_ih are such incidence matrices that A_h = \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \sum \limits_{i = 1}^{S_h} $\end{document} i N_ih is a balanced matrix defined by SHAH (1959), for h = 1, 2,…, p, then a block design with an incidence matrix Ñ = [N, N,…,N] is an equi-replicated balanced block design. Here the balance of a block design is defined in terms of the matrix M₀ introduced by CALI?SKI (1971).     

Modulation of inwardly rectifying Na+-K+ channels by serotonin and cyclic nucleotides in salivary gland cells of the leech,Haementeria

Summary The electrically excitable salivary cells of the giant Amazon leech, Haementeria, display a time-dependent inward rectification. Under voltage clamp, hyperpolarizing steps to membrane potentials negative to about –70 mV were associated with the activation of a slow inward current (I _h) which showed no inactivation with time. The time course of activation of I _hwas described by a single-exponential function and was strongly voltage dependent. The activation curve of_hranged from –72 to –118 mV, with half-activation occurring at –100 mV. Ion-substitution experiments indicated that I _his carried by both Na⁺ and K⁺ ions. 5-Hydroxytryptamine (5-HT) increased the amplitude of I _hand its rale of activation. It also produced a positive shift of the activation curve of the conductance underlying I _h G_hwithout altering the slope factor, thus indicating that the voltage dependence of I _hwas modulated by 5-HT. Cs⁺ blocked both I _hand the 5-HT-polentiated current in a voltage-independent manner, whereas Ba²⁺ had little effect. It is concluded that 5-HT increases I _hby modulating the inwardly rectifying Na⁺-K⁺ channels in the salivary cells. The effect of 5-HT may be mediated by an increase in adenylate cyclase activity since I _hwas increased by 8-bromocyclic AMP and by the phosphodiesterase inhibitor, 3-isobutyl-l-methylxanthine. In contrast, I _hwas reduced by 8-bromo-cyclic GMPand by zaprinast (an inhibitor of cyclic GMP-scnsitive phosphodieslerase). Cyclic GMP itself also reduced I _h, and the effect was specific to the 3,5 form; 2,3-cyclic GMP was inactive. The results suggest that the inward-rectifier channel may be modulated in opposite directions by cyclic AMP and cyclic GMPThis work was supported by a grant from the Science and Engineering Research Council (no. GR/F/17087). We are grateful to the SmithKline (1982) Foundation for provision of a pulse generator     

Thermodynamics of stabilization of RNA pseudoknots by cobalt(III) hexaammine

Equilibrium unfolding (folding) studies reveal that the autoregulatory RNA pseudoknots derived from the bacteriophage T2 and T4 gene 32 mRNAs exhibit significant stabilization by increasing concentrations of divalent metal ions in solution. In this report, the apparent affinities of exchange inert trivalent Co(NH₃) have been determined, relative to divalent Mg²⁺, for the folded, partially folded (K_f), and fully unfolded (K_u) conformations of these molecules. A general nonspecific, delocalized ion binding model was developed and applied to the analysis of the metal ion concentration dependence of individual two‐state unfolding transitions. Trivalent Co(NH₃) was found to associate with the fully folded and partially unfolded pseudoknotted forms of these RNAs with a K_f of 5–8 × 10⁴ M⁻¹ in a background of 0.10 M K⁺, or 3‐ to 5‐fold larger than the K_f obtained for two model RNA hairpins and hairpin unfolding intermediates, and ≈ 40–50‐fold larger than K_f for Mg²⁺. The magnitude of K_f was found to be strongly dependent on the monovalent salt concentration in a manner qualitatively consistent with polyelectrolyte theory, with K_f reaching 1.2 × 10⁵ M⁻¹ in 50 mM K⁺. Two RNA hairpins were found to have affinities for Co(NH₃) and Ru(NH₃) of 1–2 ×10⁴ M⁻¹, or ≈ 15‐fold larger than the K_f of ∼ 1000 M⁻¹ observed for Mg²⁺. Additionally, the K_u of 4,800 M⁻¹ for the trivalent ligands is ≈ 8‐fold larger than the K_u of 600 M⁻¹ observed for Mg²⁺. These findings suggest that the T2 and T4 gene 32 mRNA pseudoknots possess a site(s) for Mg²⁺ and Co(NH₃) binding of significantly higher affinity than a “duplexlike” delocalized ion binding site that is strongly linked to the thermodynamic stability of these molecules. Imino proton perturbation nmr spectroscopy suggests that this site(s) lies near the base of the pseudoknot stem S2, near a patch of high negative electrostatic potential associated with the region where the single loop L1 adenosine crosses the major groove of stem S2. © 1999 John Wiley & Sons, Inc. Biopoly 50: 443–458, 1999