For RF in a starch film the absorption changes due to light exposure at 455 nm (top part, previously unexposed sample) and the absorption behavior after light switch-off in the dark (bottom part) are shown in Figure 1. The excitation intensity was varied with filters, and after certain times of exposure the transmission spectra were measured. The accumulated exposed energy densities, w_exp, and the corresponding accumulated times of exposure, t_exp, are listed in the top part of Figure 1. The RF absorption around 450 nm (first absorption band of fully oxidized RF) and around 371 nm (second absorption band of fully oxidized RF) decreased with exposed excitation energy density (with time of light exposure). A weak absorption band in the range from 515 nm to 660 nm built up which is attributed to the formation of semi-reduced riboflavin RFH^·. The increasing absorption around 310 nm and 260 nm with isobestic points at 337.5 nm, 292 nm, 265 nm, and 237 nm is attributed to the formation of fully reduced riboflavin RFH₂. Absorption cross-section spectra of flavins in fully oxidized form [36–38], semi-reduced form [39–41], and fully reduced form [42,43] are found in the cited literature. Re-oxidation of RFH· and RFH₂ to RF in the dark is clearly seen in the lower part of Figure 1. The re-oxidation is not complete (some permanent reduction occurred). The absorption spectrum of the re-oxidized RF is not fully identical with the initial unexposed RF. The first three absorption maxima changed from 450 nm, 371 nm, and 271 nm to 449 nm, 369 nm, and 268 nm, respectively. The differences indicate local interaction changes between riboflavin and starch in the initial unexposed form and the recovered form.

For LF in a starch film, the absorption changes due to light exposure at 455 nm (previously unexposed sample) and the absorption behavior after light switch-off in the dark are shown in Figure 2. The photo-reduction of LF to LFH₂ is seen in the top part. The accumulated exposed energy densities, w_exp, and the corresponding accumulated times of exposure, t_exp, are listed in the figure. The formation of semi-reduced lumiflavin could not be resolved (likely due to faster reduction of LFH· to LFH₂). The re-oxidation of LFH₂ to LF in the dark is seen in the lower part of Figure 2. The initial absorption spectrum of LF is not fully restored in the re-oxidation process. The positions of the first three absorption maxima of LF changed from 449 nm, 358 nm, and 271 nm to 448 nm, 366 nm and 270 nm due to local interaction changes between lumiflavin and starch in the photo-excitation process.

In the top part of Figure 3 the dependence of absorbance at λ = 450 nm as a function of exposed energy density at λ_exp = 455 nm is shown for RF in starch (solid line connected circles, fresh previously unexposed sample) and LF in starch (dashed line connected triangles, fresh previously unexposed sample). Absorbance ratios A(λ = 450 nm, w_exp)/A(λ = 450 nm, w_exp = 0) are displayed. The data for RF in starch belong to another film than used in Figure 1 (film exposed in more steps up to higher total exposed energy density, initial absorbance A(λ = 450 nm, 0) = 0.0692). The data for LF in starch belong to the curves presented in Figure 2. The horizontal line at the right hand side indicates the expected final absorbance ratio for the case of complete reduction of RF and LF to RFH₂ and LFH₂, respectively. The efficiency of photo-reduction was largest at the beginning of sample exposure and leveled off with continued exposure (see logarithmic abscissa).

The dotted-line connected dots in the top part of Figure 3 belong to a second photo-excitation of RF in starch. The sample was re-exposed after recovering in the dark for a period of 4 month. At the start of second exposure the absorbance had been recovered to about 70% of its original unexposed value. The absorbance ratio at the end of second exposure (w_exp = 7 J·cm⁻²) was approximately the same as at the end of the first exposure. The dash-dotted line connected filled triangles belong to a second photo-excitation of LF in starch. The sample was re-exposed after recovering in the dark for a period of 5 month and 20 days. At the start of second exposure the absorbance had been recovered to about 87% of its original unexposed value. The absorbance ratio at the end of second exposure (w_exp = 5.2 J·cm⁻²) was slightly higher than at the end of the first exposure. In the second excitation process of LF in starch some lumiflavin semiquinone formation was observed (long-wavelength absorption).

The lower part of Figure 3 displays the mole-fraction of still oxidized flavin during the first excitation cycle, χ F l ( w exp ) = N F l ( w exp ) / N F l ( 0 ) = ∫ 0 ℓ N F l ( w exp , x ) d x / ∫ 0 ℓ N F l ( 0 , x ) d x, where N_Fl is the length-integrated number density of oxidized flavin, N_Fl(x) is the number density of oxidized flavin at coordinate x, and ℓ is the film thickness. χ_Fl is related to the absorbance ratio, A(w_exp )/A(0), by

Equation (1) is obtained from the relations, A(w_exp) = {χ_Fl (w_exp)σ_{a, Fl} + [1 − χ_Fl (w_exp)]σ_{a, FlH2}}N_Fl(0)/ln(10), and A(0) = σ_a,Fl N _Fl (0)/ln(10). χ_FlH2 = 1 − χ_Fl is the mole-fraction of fully reduced flavin. λ is the probe wavelength. In the calculations σ_a,Fl(λ = 450 nm) ≈ 4.7 × 10⁻¹⁷ cm² [36], and σ_a,FlH2 (λ = 450 nm) ≈ 4.18 × 10⁻¹⁸ cm² [43] was used. The retained mole-fraction of flavin quinone at the end of exposure (w_exp ≈ 8 J cm⁻²) was χ_RF,end ≈ 0.135 and χ_LF,end ≈ 0.096.

The momentary exposed energy density dependent quantum efficiency of photo-reduction, φ_red, may be determined by use of the relation [43],

where ΔN_Fl is the length-integrated number density of oxidized flavin which got reduced due to the number density of absorbed photons Δn_ph,abs.

ΔN_Fl is given by

where N_Fl (0) is the initial length-integrated number density of oxidized flavin. It may be expressed in terms of initial absorbance, A(0,λ), and flavin quinone absorption cross-section, σ_a,Fl(λ), at wavelength λ as

(Note that A = - log ( T ) = σ a ∫ 0 ℓ N ( x ) d x / ln ( 10 )).

Δn_ph,abs is given by

A₁(λ_exp) and A₂(λ_exp) are the absorbance values belonging to the exposed energy densities w_exp,1 and w_exp,2, respectively. hν_exp is the excitation photon energy (h Planck constant, ν_exp = c₀/λ_exp excitation frequency, c₀ vacuum light velocity). &Tmacr;_exp ≈ [T (w_exp,1 + T (w_exp,2)] / 2 is the mean transmission at the excitation wavelength λ_exp in the excitation energy density interval of w_exp,1 to w_exp,2. Using adjacent data points of w_exp, χ_Fl, and A, the φ_red (w_exp) curves were determined for RF and LF which are displayed in the inset of the lower part of Figure 3. The initial quantum yields of photo-reduction were φ_red (RF/starch, w_exp→0) = 0.2 ± 0.03 and φ_red (LF/starch, w_exp→0) = 0.12 ± 0.03. At the end of exposure the quantum yield of photo-reduction lowered to φ_red ≈ 10⁻⁴ for both samples (less and less favorable sites for flavin reduction and starch oxidation, part of Δn_ph,abs belongs to FlH₂ absorption).

The absorbance recovery of flavin in starch after light exposure is manifested in Figure 4. In the top part of Figure 4, the circles belonging to RF in starch and the triangles belonging to LF in starch show the absorbance recovery in the dark after the first light exposure. The corresponding points in the bottom part of Figure 4 show the mole-fractions of oxidized RF and oxidized LF. The absorbance (mole-fraction) of RF in starch recovered back to ≈70% (67%) of the initial unexposed value. In the case of LF in starch the back recovery reached ≈86% (85%) of the initial unexposed value.

The absorption recovery and the flavin re-oxidation fit reasonably well to bi-exponential functions according to

as is seen by the solid and dashed curves in Figure 4. a(λ,0) = A(λ, t = 0) / A_ini (λ) is the absorbance ratio at wavelength λ and time t_rec = 0 after end of exposure. χ_Fl(0) is the mole-fraction of retained oxidized flavin at end of exposure. τ_rec,f is the time constant of fast absorption recovery, and τ_rec,s is the time constant of slow absorption recovery. The coefficients of fast recovery, κ_a,f and κ_χ,f, and the coefficients of slow recovery, κ_a,s and κ_χ,s, are related by Equation (1). The fraction of photo-reduced flavins which retained permanently reduced is: κ _{χ, per} = 1 − κ_{χ, f} − κ_{χ, s}. The obtained parameters for RF in starch are χ_RF(0) = 0.135, κ_χ,f(RF) = 0.077, τ_rec,f(RF) = 3.3 h, κ_χ,s(RF) = 0.50, τ_rec,s(RF) = 229 h, and κ_χ,per(RF) = 0.423. The obtained parameters for LF in starch are χ_LF(0) = 0.096, κ_χ,f(LF)= 0.11, τ_rec,f(LF) = 2.85 h, κ_χ,s(LF) = 0.72, τ_rec,s(LF) = 325 h, and κ_χ,per(LF) = 0.17.

The absorbance recovery of RF in starch after the second cycle of light exposure is shown by the dotted-line connected dots in the top part of Figure 4. The fast absorbance recovery component is more pronounced than after the first excitation, and the final absorbance is lower than reached in the first recovery. The same behavior was found for LF in starch as is shown by the dash-dotted line connected filled triangles in the top part of Figure 4. The second last filled triangle, and the second last dot were measured at relatively high relative humidity of ϕ_rh ≈ 0.66 (for preceding few days the ambient relative humidity varied between 50% and 69%). The last filled triangle and the last dot were measured after storing the samples for four days in a desiccator (ϕ_rh < 0.1) and relative humidity during measurement of ϕ_rh ≈ 0.45.

In the photo-reduction studies on RF and LF in starch films also the delayed luminescence DL (phosphorescence P and delayed fluorescence DF) behavior was investigated. Delayed luminescence spectra and signal decay traces were measured. RF in starch and LF in starch behaved similar. Below in Figures 8–10 only results are shown for RF in starch obtained for the first excitation—recovery cycle. The delayed luminescence behavior of the samples before light exposure was reported in [27].

In Figure 8 spectrally corrected delayed luminescence spectra are shown for RF in starch (same sample as used for Figure 1, fluorimeter gate opening 200 μs after sample excitation with 2 μs pulses, gate width 5 ms). The top part shows spectra belonging to light exposure at λ_exp = 455 nm with different exposed energy densities, and the bottom part shows spectra belonging to different times of recovery in the dark. The spectra are normalized to the initial luminescence signal at 650 nm, i.e., S_DL(λ)/S_DL,ini(650 nm) is presented. The emission band peaking around 650 nm belongs to phosphorescence, and the emission band peaking around 530 nm belongs to delayed fluorescence (for details see [27]). The spectral shapes retain approximately unchanged during light exposure and during recovery in the dark. The luminescence signal heights decreased with light exposure and increased after light switch-off in the dark. The curve belonging to for t_rec = 2655 h was measured at ϕ_rh = 0.66 after a few days of high humidity in the range of 50% to 69% in the laboratory. The strong reduction of delayed luminescence at high relative humidity is clearly seen. Above ϕ_rh = 50% the starch films begin to become slightly permeable to oxygen [47] and the water vapor permeability increases [48] with softening of the films. The phosphorescence is thought to be decreased because of flavin triplet deactivation by adjacent molecular oxygen according to [49,50] ₃Fl_n^* + ³O₂ →¹ Fl_n + ¹O₂^*. The curve belonging to t_rec = 2740 h was measured at ϕ_rh = 0.45 after storing the sample for four days in a desiccator (ϕ_rh < 0.1). The delayed luminescence spectrum recovered nearly to the initial spectrum. The delayed fluorescence peak became similar high as the phosphorescence peak (some enhancement of delayed fluorescence).

The development of the delayed luminescence at λ_pr = 530 nm (dominant delayed fluorescence, line connected circles) and at λ_pr = 645 nm (dominant phosphorescence, dashed line connected triangles) versus exposed energy density at λ_exp = 455 nm and versus recovery time in the dark is shown in Figure 9 for RF in starch film (data taken from Figure 8). The curves are normalized to the initial delayed luminescence signal heights at the same probe wavelengths. For comparison the normalized absorbance dependence A(450 nm)/A_ini(450 nm) on exposed energy density and on time after exposure is included (dotted line connected diamonds). The delayed luminescence signal followed the exposure dependence and the recovery dependence of the fluorescence signal. For the second last data points in the bottom part of Figure 9 the luminescence signal was small because of the high relative humidity situation. After storing the sample in a desiccator (last data points in the bottom part of Figure 9) the delayed luminescence signal approached the initial delayed luminescence signal while the absorbance recovered only to about 65%. The final low-humidity flavin quinone specific delayed luminescence quantum yield, φ_DL,Fl, reached higher values than the initial unexposed sample. This behavior is the same as was found for the fluorescence. Both the fluorescence and the low-humidity delayed luminescence efficiency is proportional to the mole fraction of normal fluorescing flavin quinone χ_n.

In Figure 10 the time-resolved luminescence signal decay for RF in starch before light exposure and for certain times after first exposure is shown (same sample used as for Figures 1, 8 and 9). The curves are determined by the mole-fraction χ_n of normal fluorescing flavin quinone and the dissolved molecular oxygen dependent delayed luminescence lifetime shortening. The curve measured at t_rec = 2655 h under high relative humidity conditions shows a strong phosphorescence lifetime shortening. For the other curves the temporal decay curves have a similar shape. The curve measured at t_rec = 2740 h under low relative humidity conditions gave slightly higher luminescence signal than the initial unexposed sample.

The data analysis of unexposed RF and LF in starch films was carried out in [27] assuming the presence of only normal fluorescing flavins Fl_n. The presence of flavins Fl_qc in quenching centers changes the radiative S₁-state lifetime (Equation (2) in [27]) to τ_rad,S1 =τ_F,n/φ_F,n (φ_F,n ≈ 0.60). The inclusion of the static fluorescence quenching causes the correction of a few parameters for RF in starch and LF in starch to: τ_rad,S1 (RF) = 7.2 ns, σ̄_a, _S0−S1 (RF) = 1.34 × 10⁻¹⁷ cm², σ_a,max(RF) = 7.2 × 10⁻¹⁷ cm², τ_F(LF) = 4.57 ns (new measurement because of some degradation of previous sample), τ_rad,S1 (LF) = 7.6 ns, σ̄_a, _S0−S1 (LF) = 1.28 × 10⁻¹⁷ cm², σ_a,max(LF) = 6.85 × 10⁻¹⁷ cm², φ_ISC(LF) = 0.38, k_ISC(LF) = 8.32 × 10⁷ s⁻¹, and k_T1,S1 (LF) = 1.13 s⁻¹.

The flavin behavior in starch may be described by a two-component system consisting of normal fluorescing flavins Fl_n and flavins Fl_qc forming flavin-glucose fluorescence quenching centers. The proposed photocyclic dynamics and inter-conversion of Fl_n and Fl_qc is illustrated in Figure 11.

The formation of flavin-starch fluorescence quenching centers Fl_qc by photo-excitation of normal fluorescing flavin quinone Fl_n is illustrated in the top part of Figure 11. Photo-excitation of Fl_n leads to radiative relaxation, internal conversion, intersystem-crossing, back-intersystem-crossing (delayed fluorescence), radiative triplet-singlet relaxation (phosphorescence), and non-radiative triplet relaxation to the singlet ground-state. The energy released by non-radiative decay and excited-state charge distribution differences compared to the ground-state are thought to cause starch re-conformation to flavin-glucose fluorescence quenching center formation (Fl_qc) on the time range of phosphorescence decay (10 ms time scale). It should be noted that in the prepared flavin doped starch samples there were already fluorescence quenching centers present before light exposure.

The photo-excitation of Fl_qc is thought to cause a reductive electron transfer [35,51] from properly arranged glucose G(OH)₂ to flavin Fl according to

whereby flavin quinone radical anion Fl·⁻ and glucose radical cation G(OH)₂·⁺ is formed. The electron transfer quenches the fluorescence (time constant of electron transfer is τ_F,qc ≈ 1.5 ps). Fl^·− dominantly relaxes back to Fl_qc by charge recombination. Part of Fl^·− converts to neutral flavin semiquinone FlH^· by proton transfer (quantum efficiency ≥ φ_red) according to

The incident light excites FlH^· to FlH^·* and causes subsequent electron transfer to flavin semiquinone radical anion according to

A second proton transfer from the single oxidized glucose radical cation to the flavin semiqinone radical anion leads to flavin hydroquinone and oxy-glucose (oxystarch) according to

The total quantum efficiency of FlH₂ formation is φ_red. In the dark there occurs thermal flavin hydroquinone re-oxidation to flavin quinone by oxystarch reduction to normal starch and a starch restructuring.

The flavin reduction from Fl to FlH₂ is visualized in Scheme 1. The corresponding partial starch oxidation to oxystarch where glucose repeat units are oxidized to oxy-glucose repeat units is illustrated in Scheme 2. Information on photochemical degradation of starch to oxystarch (di-aldehyde formation) is found in [28–31].

The starch oxidation to oxystarch during light exposure and the oxystarch reduction to starch after light switch-off is concluded form the fact that the flavin reduction and subsequent re-oxidation is repeatable. For LF in starch no photo-induced intra-molecular reduction is possible, the oxidation of starch is necessary for the process to occur. Re-oxidation of LFH₂ to LF might be caused by oxygen [52] dissolved in starch and penetrating into starch, but without oxystarch back-reduction to starch a repetition of cyclic photo-reduction and re-oxidation would not be possible. For RF in starch photo-induced intra-molecular reduction is possible by hydrogen abstraction from the ribityl part [5]. This process is thought to take place additionally to the starch oxidation since the quantum efficiency of photo-reduction is higher for RF in starch than for LF in starch, and the RFH₂ back re-oxidation in the dark is less complete than for LFH₂ (no back reduction of the oxidized ribityl part is indicated). In the starch film forming process by solution heating [27] the samples get partly degassed (oxygen solubility in solution decreases with rising temperature). Starch films in dry air (ϕ_rh < 50%) are air impermeable (see results in [47,48] for free standing starch films of 20 μm thickness, our estimated film thickness is ≈ 36 μm). Photo-excitation studies on lumiflavin doped polystyrene films which are air permeable [53,54] did not show flavin photo-reduction (own unpublished results).

The found artificial photocycle behavior of photo-induced reduction and dark re-oxidation of flavins in starch films resembles the photocycle behavior of natural flavin-based blue-light photoreceptors.

In LOV domains of phototropin charge-transfer reactions between photo-excited singlet and triplet states of FMN and the protein (cystein residue) are involved in the meta-stable FMN-C4a-cysteinyl adduct formation [18,55]. The FMN-C4a-cysteinyl adduct recovers thermally back to FMN and cystein residue typically on a minute timescale [12–15,18,55].

In BLUF proteins [14,16,19,56] and BLUF domain containing photo-activated enzymes [20,57,58] photo-excitation of FAD or FMN causes tyrosine to flavin quinone electron transfer forming FAD^·− or FMN^·− with protein-flavin hydrogen-bond reorganization during the sub-nanosecond Fl^·− charge-recombination lifetime giving the signaling state (light-adapted state) for effector domain activation [14,19,20,57,59]. In light adapted BLUF domains flavin reduction to flavin semiquinone FlH^· and anionic flavin hydroquinone FlH⁻ may take place with partial re-oxidation after light switch-off [20,57,59]. In the dark a hydrogen-bond back arrangement to the original situation takes place on a second to minute timescale [14,16,19,20,56–59].

In cryptochromes the primary receptor state—signaling state photocycle is given by photo-induced Tyr or Trp electron transfer to FAD forming FAD·⁻ which is stabilized over a time range of seconds by positive charge separation along a Trp triade [17,24,25,60]. FAD^·− may further reduce to FADH^· and FADH⁻ [25,60,61]. The reduced FAD may partially re-oxidize in the dark on a minute to hour time scale [25,61].

The photo-induced formation of reversible dye radicals in the triplet state by application of reducing agents in aerobic liquid solutions was reported to be a frequently occurring phenomenon [62]. It was observed in rhodamine, oxazine, thiazine, and cyanine dyes in the presence of reducing agents like β-mercaptoethylamine or glutathione [62]. Photo-excitation caused dye reduction (radical formation) in the triplet state, and the speed of re-oxidation in the dark was determined by the dissolved oxygen content. The photo-induced formation of reversible dye radicals plays a crucial role in live-cell super-resolution imaging fluorescence microscopy [62,63]. Flavin photo-reduction in liquid solutions containing reducing agents and oxygen dependent re-oxidation was investigated in [6,7,43,64].

In the flavin doped solid starch films studied here, the starch host acts as reducing agent for photo-excited flavin. The thereby generated oxystarch acts as oxidizing agent for reduced flavin in its ground-state. In the case of riboflavin in starch hydrogen abstraction from the ribityl chain [5,43,65–68] is thought to contribute to the isoalloxazine core reduction and is thought to be responsible for the incomplete re-oxidation in the dark. Dissolved oxygen is generally responsible for reduced flavin re-oxidation [2–7]. Starch films at low relative humidity (ϕ_rh < 0.5) are impermeable to oxygen and the retained oxygen in starch is immobile. Therefore flavin re-oxidation by oxygen in starch under dry ambient conditions is thought to be of minor importance.