Reactions between primary and secondary acceptors of Photosystem II in Chlorella Pyrenoidosa under anaerobic conditions as studied by chlorophyll a fluorescence

The kinetics of the fluorescence yield Ф of chlorophyll a in Chlorella pyrenoidosa were studied under anaerobic conditions in the time range from 50 μs to several minutes after short ($\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{= 30}\text{ns}$ or 5 μs) saturating flashes. The fluorescence yield “in the dark” increased from $\text{Ф = 1}$ at the beginning to $\text{Ф ≈ 5}$ in about 3 h when single flashes separated by dark intervals of about 3 min were given.After one saturating flash, Ф increased to a maximum value (4–5) at 50 μs, then Ф decreased to about 3 with a half time of about 10 ms and to the initial value with a half time of about 2 s. When two flashes separated by 0.2 s were given, the first phase of the decrease after the second flash occurred within 2 ms. After one flash given at high initial fluorescence yield, the 10-ms decay was followed by a 10 s increase to the initial value. After the two flashes 0.2 s apart, the rapid decay was not follewed by a slow increase.These and other experiments provided additional evidence for and extend an earlier hypothesis concerning the acceptor complex of Photosystem II (Bouges-Bocquet, B. (1973) Biochim. Biophys. Acta 314, 250–256; Velthuys, B. R. and Amesz, J. (1974) Biochim. Biophys. Acta 333, 85–94): reaction center 2 contains an acceptor complex QR consisting of an electron-transferring primary acceptor molecule Q, and a secondary electron acceptor R, which can accept two electrons in succession, but transfers two electrons simultaneously to a molecule of the tertiary acceptor pool, containing plastoquinone (A). Furthermore, the kinetics indicate that 2 reactions centers of System I, excited by a short flash, cooperate directly or indirectly in oxidizing a plastohydroquinone molecule (A^2?). If initially all components between photoreaction 1 and 2 are in the reduced state the following sequence of reactions occurs after a flash has oxidised A^2? via System I: Q^?R^2? + A → Q^?R + A^2? → QR^? + A^2?. During anaerobiosis two slow reactions manifest themselves: the reduction of R (and A) within 1 s, presumably by an endogenous electron donor D₁, and the reduction of Q in about 10 s when R is in the state R^? and A in the state A^2?. An endogenous electron donor, D₂, and Q^? compete in reducing the photooxidized donor complex of System II in reactions with half times of the order of 1 s.     

A one microsecond component of chlorophyll luminescence suggesting a primary acceptor of system II of photosynthesis different from Q

The kinetics of the luminescence of chlorophyll a in Chlorella vulgaris were studied in the time range from 0.2 μs to 20 μs after a short saturating flash ($\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{= 25}\text{ns}$) under various pretreatment including anaerobiosis, flashes, continuous illumination and various additions. A 1 μs luminescence component probably originating from System II was found of which the relative amplitude was maximum under anaerobic conditions for reaction centers in the state SPQ^? before the flash, about one third for centers in the state S⁺PQ^? or SPQ before the flash, and about one tenth for centers in the state S⁺PQ before the flash. S is the secondary donor complex with zero charge; S⁺ is the secondary donor complex with 1 to 3 positive charges; P, the primary donor, is the photoactive chlorophyll a, P-680, of reaction center 2; Q^? is the reduced acceptor of System II, Q. Under aerobic conditions, where an endogenous quencher presumably was active, the luminescence was reduced by a factor two.The 1 μs decay of the luminescence is probably caused by the disappearance of P⁺ formed in the laser flash according to the reaction ZP⁺ → Z⁺P in which Z is the molecule which donates an electron to P⁺ and which is part of S. After addition of hydroxylamine, the 1 μs luminescence component changed with the incubation time exponentially (τ = 27 s) into a 30 μs component; during the same time, the variable fluorescence yield, measured 9 μs after the laser flash, decreased by a factor 2 with the same time constant. Hereafter in a second much slower phase the fluorescence yield decreased as an exponential function of the incubation time to about the dark value; meanwhile the 30 μs luminescence increased about 50% with the same time constant (τ = 7 min). Heat treatment abolished both luminescence components.The 1 μs luminescence component saturated at about the same energy as the System II fluorescence yield 60 μs after the laser flash and as the slower luminescence components. From the observation that the amplitude is maximum if the laser flash is given when the fluorescence yield is high after prolonged anaerobic conditions (state SQ^?), we conclude that the 1 μs luminescence is probably caused by the reaction

$\text{PWQ}{}^{\mathrm{?}}\text{+hv →}\text{P}\text{1}\text{WQ}{}^{\mathrm{?}}\text{→}\text{P}{}^{\mathrm{+}}\text{W}{}^{\mathrm{?}}\text{Q}{}^{\mathrm{?}}\text{→}\text{P}\text{1}\text{WQ}{}^{\mathrm{?}}\text{→ PWQ}{}^{\mathrm{?}}\text{+hv}$

in which W is an acceptor different from Q. The presence of S⁺ reduced the luminescence amplitude to about one third. Two models are discussed, one with W as an intermediate between P and Q and another, which gives the best interpretation, with W on a side path.     

Enthalpy and volume changes accompanying electron transfer from P-870 to quinones in Rhodopseudomonas sphaeroides reaction centers

A capacitor microphone was used to measure the enthalpy and volume changes that accompany the electron transfer reactions, $\text{PQ}{}_{\mathrm{A}}\text{→}\text{hv}\text{P}{}^{\mathrm{+}}\text{Q}{}^{\mathrm{?}}{}_{\mathrm{A}}\text{and PQ}{}_{\mathrm{A}}\text{Q}{}_{\mathrm{B}}\text{→}\text{hv}\text{P}{}^{\mathrm{+}}\text{Q}{}_{\mathrm{A}}\text{Q}{}^{\mathrm{?}}{}_{\mathrm{B}}$, following flash excitation of photosynthetic reaction centers isolated from Rhodopseudomonas sphaeroides. P is a bacteriochlorophyll dimer (P-870), and Q_A and Q_B are ubiquinones. In reaction centers containing only Q_A, the enthalpy of P⁺Q^?_A is very close to that of the PQ_A ground state (ΔH_r = 0.05 ± 0.03 eV). The free energy of about 0.65 eV that is captured in the photochemical reaction evidently takes the form of a substantial entropy decrease. In contrast, the formation of P⁺Q_AQ^?_B in reaction centers containing both quinones has a ΔH_r of 0.32 ± 0.02 eV. The entropy change must be near zero in this case. In the presence of o-phenanthroline, which blocks electron transfer between Q^?_A and Q_B, ΔH_r for forming P⁺Q^?_AQ_B is 0.13 ± 0.03 eV. The influence of flash-induced proton uptake on the results was investigated, and the ΔH_r values given above were measured under conditions that minimized this influence. Although the reductions of Q_A and Q_B involve very different changes in enthalpy and entropy, both reactions are accompanied by a similar volume decrease of about 20 ml/mol. The contraction probably reflects electrostriction caused by the charges on P⁺ and Q^?_A or Q^?_B.     

Interaction of exogenous benzoquinone with Photosystem II in chloroplasts. The semiquinone form acts as a dichlorophenyldimethylurea-insensitive secondary acceptor

Chloroplasts were submitted to a sequence of saturating short flashes and then rapidly mixed with dichlorophenyldimethylurea (DCMU). The amount of singly reduced secondary acceptor (B^?) present was estimated from the DCMU-induced increase in fluorescence in the dark caused by the reaction: QB^?

Q^?B. By varying the time interval between the preillumination and the mixing, the time course of B^? reoxidation by externally added benzoquinone was investigated. It was found that benzoquinone oxidizes B^? in a bimolecular reaction, and does not interact directly with Q^?. When a sufficient delay after the preillumination was allowed in order to let benzoquinone reoxidize B^? before the injection of DCMU, the fluorescence increase caused by one subsequent flash fired in the presence of DCMU was followed by a fast decay phase ($\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{? 100 μ}\text{s}$). The amplitude of this phase was proportional to the amount of B^? produced by the preillumination. This fast decay was observed only after the first flash in the presence of DCMU. These results are interpreted by assuming a binding of the singly reduced benzoquinone to Photosystem II where it acts as an efficient, DCMU-insensitive, secondary (exogenous) acceptor.     

Analysis of absorption changes in the ultraviolet related to charge-accumulating electron carriers in Photosystem II of chloroplasts

Spinach chloroplasts were dark adapted and then submitted to a sequence of short saturating flashes. The resulting absorption changes in the near ultraviolet were analyzed and attributed to the donor and acceptor sides of Photosystem II. Our results provide a spectroscopic support to some current models of these parts of the photosynthetic electron transport.In Tris-treated chloroplasts (supplied with artificial donors) the absorption changes are largely due to the acceptor side. After each flash the signal decays with a fast phase ($\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{= 1.2}\text{ms at}\text{9 °}\text{C}$) leaving a stationary level (on a 100-ms time scale). The fast phase has a small amplitude after odd-numbered flashes, whereas the stationary level behaves in a complementary fashion. The non-decaying signal is attributed mostly to the reduced secondary acceptor (A₂^?) and the fast phase to the simultaneous reoxidation of A₂^? and of the reduced primary acceptor (A₁^?). The effect of 3-(3,4-dichlorophenyl)-1, 1-dimethylurea and of redox mediators (ascorbate, ferricyanide) also support this assignment. A fraction of A₂ is shown to be reduced in dark-adapted chloroplasts, as proposed by Velthuys and Amesz (Biochim. Biophys. Acta (1974) 333, 85–94). The difference spectra support the view that A₁^? and A₂^? are plastoquinone radical anions. There are also some absorption changes that we cannot identify.In untreated chloroplasts a non-decaying absorption change (“slow phase”) occurs with a 4-flash periodicity. It is attributed to the transitions among the S states associated with the O₂-evolving complex. A fast phase ($\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{= 1.2}\text{ms}$) in the decay following the first two flashes behaves like in Tris-treated chloroplasts, so that the assignment is tentatively the same. After the third flash, however, the magnitude of this fast phase is too large according to the hypothesis, so that there may be some contribution from the donor side. The fast phases become slower at lower pH (5.5 instead of 7.6), although there is no evidence for a protonation A₁^? or A₂^?.     

Damping of oscillations in the semiquinone absorption in reaction centers after successive flashes. Determination of the equilibrium between QA−QB and QAQB−

A quantitative model for the damping of oscillations of the semiquinone absorption after successive light flashes is presented. It is based on the equilibrium between the states Q_A^?Q_B and Q_AQ_B^?. A fit of the model to the experimental results obtained for reaction centers from Rhodopseudomonas sphaeroides gave a value of $\text{α =}\text{[}\text{Q}{}_{\mathrm{<mtext>A</mtext>}}{}^{\mathrm{?}}\text{Q}{}_{\mathrm{<mtext>B</mtext>}}\text{]}\text{([}\text{Q}{}_{\mathrm{<mtext>A</mtext>}}{}^{\mathrm{?}}\text{Q}{}_{\mathrm{<mtext>B</mtext>}}\text{] + [}\text{Q}{}_{\mathrm{<mtext>A</mtext>}}\text{Q}{}_{\mathrm{<mtext>B</mtext>}}{}^{\mathrm{?}}\text{])}\text{= 0.065 ± 0.005}$ (T = 21°C, pH 8).     

A Cl−/HCO3−-ATPase in the gils of Carassius Auratus. Its inhibition by thiocyanate

An ATPase is demonstrated in plasma membrane fractions of goldfish gills. This enzyme is stimulated by Cl^? and HCO₃^?, inhibited by SCN^?.Biochemical characterization shows that HCO₃^? stimulation ($\text{K}{}_{\mathrm{<mtext>m</mtext>}}\text{= 2.5}\text{mequiv./l}$) is specifically inhibited in a competitive fashion by SCN^? ($\text{K}{}_{\mathrm{<mtext>i</mtext>}}\text{= 0.25}\text{mequiv./l}$). The residual Mg²⁺-dependent activity is weakly is weakly affected by SCN^?.In the microsomal fraction chloride stimulation of the enzyme occurs in the presence of HCO₃^? ($\text{K}{}_{\mathrm{<mtext>m</mtext>}}\text{for chloride = 1 mequiv./l}$); no stimulation is observed in the absence of HCO₃^?. Thiocyanate exhibits a mixed type of inhibition ($\text{K}{}_{\mathrm{<mtext>i</mtext>}}\text{= 0.06}\text{mequiv./l}$) towards the Cl^? stimulation of the enzyme.Bicarbonate-dependent ATPase from the mitochondrial fraction is stimulated by Cl^?, but this enzyme has a relatively weak affinity for this substrate ($\text{K}{}_{\mathrm{<mtext>m</mtext>}}\text{= 14}\text{mequiv./l}$).     

Photosystem II energy coupling in chloroplasts with H2O2 as electron donor

NH₂OH-treated, non-water-splitting chloroplasts can oxidize H₂O₂ to O₂ through Photosystem II at substantial rates (100–250 μequiv · h^?1 · mg^?1 chlorophyll with 5 mM H₂O₂) using 2,5-dimethyl-p-benzoquinone as an electron acceptor in the presence of the plastoquinone antagonist dibromothymoquinone. This H₂O₂ → Photosystem II → dimethylquinone reaction supports phosphorylation with a $\text{P}\text{e}{}_2$ ratio of 0.25–0.35 and proton uptake with $\text{H}{}^{\mathrm{+}}\text{e}$ values of 0.67 (pH 8)–0.85 (pH 6). These are close to the $\text{P}\text{e}{}_2$ value of 0.3–0.38 and the $\text{H}{}^{\mathrm{+}}\text{e}$ values of 0.7–0.93 found in parallel experiments for the H₂O → Photosystem II → dimethylquinone reaction in untreated chloroplasts. Semi-quantitative data are also presented which show that the donor → Photosystem II → dibromothymoquinone (→O₂) reaction can support phosphorylation when the donor used is a proton-releasing reductant (benzidine, catechol) but not when it is a non-proton carrier (I^?, ferrocyanide).     

Influence of temperature on Photosystem II electron transfer reactions

The influence of temperature on the rate of reduction of P-680⁺, the primary donor of Photosystem II, has been studied in the range 5–294 K, in chloroplasts and subchloroplasts particles. P-680 was oxidized by a short laser flash. Its oxidation state was followed by the absorption level at 820 nm, and its reduction attributed to two mechanisms: electron donation from electron donor D₁ and electron return from the primary plastoquinone (back-reaction).Between 294 and approx. 200 K, the rate of the back-reaction, on a logarithmic scale, is a linear function of the reciprocal of the absolute temperature, corresponding to an activation energy between 3.3 and 3.7 kcal · mol^?1, in all of the materials examined (chloroplasts treated at low pH or with Tris; particles prepared with digitonin). Between approx. 200 K and 5 K the rate of the back-reaction is temperature independent, with $\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{= 1.6}\text{ms}$. In untreated chloroplasts we measured a $\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}$ of 1.7 ms for the back-reaction at 77 and 5 K.The rate of electron donation from the donor D₁ has been measured in darkadapted Tris-treated chloroplasts, in the range 294–260 K. This rate is strongly affected by temperature. An activation energy of 11 kcal · mol^?1 was determined for this reaction.In subchloroplast particles prepared with Triton X-100 the signals due to P-680 were contaminated by absorption changes due to the triplet state of chlorophyll a. This triplet state has been examined with pure chlorophyll a in Triton X-100. An Arrhenius plot of its rate of decay shows a temperature-dependent region (292–220 K) with an activation energy of 9 kcal · mol^?1, and a temperature-independent region (below 200 K) with $\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{= 1.1}\text{ms}$.     

Kinetics of EPR signal IIvf in chloroplast Photosystem II

The risetime of EPR signal II_vf (S II_vf) has been measured in oxygen-evolving Photosystem II particles from spinach chloroplasts at pH 6.0. The EPR signal shows an instrument-limited rise upon induction ($\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{? 3 μ}\text{s}$). These data are consistent with a model where the species Z responsible for S II_vf is the immediate electron donor to P-680⁺ in spinach chloroplasts. A new, faster decay component of S II_vf has also been detected in these experiments.     

Amiloride stimulation of sodium transport in the presence of calcium and a divalent cation chelator

Amiloride in nM to μM concentrations stimulates the short circuit current ($\text{I}{}_{\mathrm{<mtext>sc</mtext>}}$) of the toad urinary bladder by as much as 120% when applied in conjunction with apical Ca²⁺ and a divalent cation chelator. A significant decrease in transepithelial resistance ($\text{R}{}_{\mathrm{<mtext>t</mtext>}}$) is observed simultaneously. This response is spontaneously reversible and its amplitude is dependent upon apical sodium concentrations. The stimulated $\text{I}{}_{\mathrm{<mtext>sc</mtext>}}$ persisted when acetazolamide (1 mM) was introduced, HPO₄^2? substituted for HCO₃^? or SO₄^2? replaced Cl^?. Consequently, the increase in $\text{I}{}_{\mathrm{<mtext>sc</mtext>}}$ is not due to the change of Cl^?, H⁺ or HCO₃^? flux. This behavior in a ‘tight’ epithelium may be related to the mechanism controlling apical sodium permeability.     

Effect of calcium ionophore A23187 on electrogenic acid-base transport in turtle bladder Inhibition of acidification and stimulation of alkalinization

Turtle bladders bathed on both surfaces with identical HCO^?₃/CO₂-rich, Cl^?-free Na⁺ media and treated with ouabain and amiloride exhibit a transepithelial potential serosa electronegative to mucosa and a short-circuit current ($\text{I}{}_{\mathrm{<mtext>sc</mtext>}}$) which is a measure of the net luminal acidification rate. Addition of calcium ionophore A23187 (10 μM) to the mucosal side of the epithelium rapidly reverses the direction of the potential difference and $\text{I}{}_{\mathrm{<mtext>sc</mtext>}}$ and decreases tissue resistance. The resulting positive $\text{I}{}_{\mathrm{<mtext>sc</mtext>}}$ resembles that previously observed in response to isobutylmethylxanthine (IBMX) and cAMP analogs. Reversal of the $\text{I}{}_{\mathrm{<mtext>sc</mtext>}}$ is enhanced in bladders from severely alkalotic turtles. In contrast, in severely acidotic turtles, ionophore A23187 decreases, but does not reverse, the $\text{I}{}_{\mathrm{<mtext>sc</mtext>}}$. The data suggest that, like IBMX and cAMP analogs, the Ca ionophore stimulates an electrogenic alkalinization mechanism, but, unlike the former agents inhibits the concurrent acidification process as well.     

Kinetics of reduction of the oxidized primary electron donor of Photosystem II in spinach chloroplasts and in Chlorella cells in the microsecond and nanosecond time ranges following flash excitation

Absorption changes (ΔA) at 820 nm, following laser flash excitation of spinach chloroplasts and Chlorella cells, were studied in order to obtain information on the reduction time of the photooxidized primary donor of Photosystem II at physiological temperatures.In the microsecond time range the difference spectrum of ΔA between 750 and 900 nm represents a peak at 820 nm, attributable to a radical-cation of chlorophyll a. In untreated dark-adapted material the signal can be attributed solely to P⁺?700; it decays in a polyphasic manner with half-times of 17 μs, 210 μs and over 1 ms. The oxidized primary donor of Photosystem II (P⁺_II) is not detected with a time resolution of 3 μs. After treatment with 3–10 mM hydroxylamine, which inhibits the donor side of Photosystem II, P⁺_II is observed and decays biphasically (a major phase with $\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{= 20–40 μ}\text{s}$, and a minor phase with $\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{? 200 μ}\text{s}$), probably by reduction by an accessory electron donor.In the nanosecond range, which was made accessible by a new fast-response flash photometer operating at 820 nm, it was found the P⁺_II is reduced with a half-time of 25–45 ns in untreated dark-adapted chloroplasts. It is assumed that the normal secondary electron donor is responsible for this fast reduction.     

Oxidation-reduction properties of the electron acceptors of Photosystem II I. Redox titration of the flash-induced carotenoid band shift,of C550 and of the variable fluorescence yield in spinach chloroplasts

Redox titration of the electrochromic carotenoid band shift, detected at 50 μs after a saturating actinic flash, in spinach chloroplasts, shows that only one electron acceptor in Photosystem II participates in a transmembrane primary electron transfer. This species, the primary quinone acceptor, Q, shows only one midpoint potential (E_m,7.5) of approx. 0 V and is undoubtedly equivalent to the fluorescence quencher, Q_H. A second titration wave is observed at low potential ($\text{E}{}_{\mathrm{<mtext>m</mtext><mtext>,7.5</mtext>}}\text{? ? 240}\text{mV}$) and at greater than 3 ms after a saturating actinic flash. This wave has an action spectrum different from that of Photosystem II centers containing Q and could arise from a secondary but not primary electron transfer. A low-potential fluorescence quencher is observed in chloroplasts which largely disappears in a single saturating flash at ? 185 mV and which does not participate in a transmembrane electron transfer. This low-potential quencher (probably equivalent to fluorescence quencher, Q_L) and Q are altogether different species. Redox titration of C550 shows that if electron acceptor Q_β is indeed characterized by an E_m,7 of + 120 mV, then this acceptor does not give rise to a C550 signal upon reduction and does not participate in a transmembrane electron transfer. This titration also shows that C550 is not associated with Q_L.     

Electronic interactions between iron and the bound semiquinones in bacterial photosynthesis. EPR spectroscopy of oriented cells of Rhodopseudomonas viridis

Electron paramagnetic resonance (EPR) spectroscopy of the iron-semiquinone complex in photosynthetic bacterial cells and chromatophores of Rhodopseudomonas viridis is reported. Magnetic fields are used to orient the prolate ellipsoidal-shaped cells which possess a highly ordered internal structure, consisting of concentric, nearly cylindrical membranes. The field-oriented suspension of cells exhibits a highly dichroic EPR signal for the iron-semiquinone complex, showing that the iron possesses a low-symmetry ligand field and exists in a preferred orientation within the native reaction-center membrane complex. The EPR spectrum is analyzed utilizing a spin hamiltonian formalism to extract physical information describing the electronic structure of the iron and the nature of its interaction with the semiquinones. Exact numerical solutions and analytical expressions for the transition frequencies and intensities derived from a perturbation theory expansion are presented, and a computer-simulated spectrum is given. It has been found that, for a model which assumes no preferred orientation within the plane of the membranes, the orientation of the Fe²⁺ ligand axis of largest zero-field splitting (Z, the principal magnetic axis) is titled 64±6° from the membrane normal. The ligand field for Fe²⁺ has low symmetry, with zero-field splitting parameters of |D₁|=7.0±1.3 cm^?1 and |E₁|=1.7±0.5 cm^?1 and $\text{|}\text{E}{}_1\text{D}{}_1\text{|=0.26}$ for the redox state Q₁^?Fe²⁺Q^2?. The rhombic character of the ligand field is increased in the redox state Q₁Fe²⁺Q^?₂, where $\text{0.33>|}\text{E}{}_2\text{D}{}_2\text{|>0.26}$. This indicates that the redox state of the quinones can influence the ligand field symmetry and splitting of the Fe²⁺. There exists an electron-spin exchange interaction between Fe²⁺ and Q^?₁ and Q^?₂, having magnitudes |J₁|=0.12±0.03 cm^?1 and $\text{|J}{}_2\text{|?0.06}\text{cm}{}^{\mathrm{?1}}$, respectively. Such weak interactions indicate that a proper electronic picture of the complex is as a pair of immobilized semiquinone radicals having very little orbital overlap (probably fostered by superexchange) with the Fe²⁺ orbitals. The exchange interaction is analyzed by comparison with model systems of paramagnetic metals and free radicals to indicate an absence of direct coordination between Fe²⁺ and Q^?₁ and Q^?₂. Selective line-broadening of some of the EPR transitions, involving Q^? coupling to the magnetic sublevels of the Fe²⁺ ground state, is interpreted as arising from an electron-electron dipolar interaction. Analysis of this line-broadening indicates a distance of 6.2–7.8 ? between Fe²⁺ and Q^?₁, thus placing Q₁ outside the immediate coordination shell of Fe²⁺.