Influence of L-Tryptophan on Growth and Optical Properties of PbS Nanocrystalline Thin Films

Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Puebla, 72570 Puebla, PUE, Mexico Facultad de Ciencias Quimicas, Universidad Autonoma de Puebla, 72592 Puebla, PUE, Mexico Vía Atlixcayotl 2301 Col. Reserva Territorial. Atlixcayotl, ITESM, Campus Puebla, Puebla, 72001 PUE, Mexico Prolongación de la 24 Sur y Av. San Claudio, Ciudad Universitaria, Col. San Manuel, CUVyTT, 72570 Puebla, PUE, Mexico


Introduction
PbS is a direct-band semiconductor with a relatively small band gap energy (E g ) ~0.41 eV at 300 K and can be used for fabrication on mid-infrared detectors, solar energy absorption devices, and optical switches [1]; it has also been thoroughly investigated for its quantum confinement effect in which the wavelength dependency of optical absorption and emission process can be monitored over a wide range of energy [2].This semiconductor has the advantage of modifying its morphological, structural, optical, and electrical properties by means of systematic doping with different cations and anions.Latest reports of doped-PbS nanocrystals with different monovalent and divalent ions and even with three inorganic ions which have been systematically incorporated in the crystal lattice showed the different reasons for investigating this semiconductor in depth according to the interesting changes observed [3,4].As it is well-known, this semiconductor has been synthesized using various techniques, such as atomic layer deposition [5], SILAR [6], hydrothermal synthesis [7], hot injection method [8], and chemical bath deposition [9].This last technique has been used in the last decades for the synthesis of various semiconductor materials, and as such, the chemical bath (CB) approach is a green, simple, and cost-effective approach in which the material obtained is of good crystalline quality with acceptable stoichiometry and worthy of being applied for PbS synthesis.
In the doped-PbS material, it is possible to control the crystal size and, consequently, an E g shifting in a significant way at different intervals according to the doping technique, temperature, reaction time, stirring, pH, and so on.
E g shifts in the range of the spectral region between ~0.4 and 3.5 eV when the GS decreases below the size of the excitonic Bohr radius (~18 nm) due to the quantum confinement effect; this is one of the characteristics worthy of investigation in this material.There are several reports that have shown that in doping systematically with different inorganic ions, it is possible to modify the morphological, structural, optical, and electrical properties [3,4,10].Some other reports of doping with metalorganic compounds in PbS have shown results that attract attention by charge transfer along with structural and optical changes [11], a phenomenon that establishes the importance of doping with different organic molecules.However, doping with organic molecules is still in the preliminary stage since only few reports have been published with CdS [12] and CdO [13].
The biomolecule L-tryptophan (C 11 H 12 N 2 O 2 (2S)-2amino-3-(1H-indol-3-yl)propanoic acid) is soluble in water and does not require the use of nonaqueous solvents that are difficult to remove during crystalline growth, so it can be introduced by adding in situ aqueous solution to the growth process of a PbS matrix.In the present report, the green CB technique is employed to grow doped PbS with the biomolecule (L-tryptophan), and the stability of the biomolecule under the temperature of crystal growth of ~80 °C due to the presence of conjugated double bonds is proposed; a chiral carbon (sp 3 -hybridized) and amino acid functional group can induce interactions in the crystalline growth of PbS.

Experimental Procedure
2.1.Chemical Reactions.Reactions for the growth of doped-PbS nanocrystals in a L-tryptophan solution were investigated employing the cell potential (ε °) already reported [14].The Nernst equation ΔG °= −nτε °derived from the Gibbs-free energy, where n is the number of equivalents and τ is the Faraday constant (96,485 C/mol), was used.The numerical value calculation of ΔG °provides empirical information of the spontaneity of them corresponding chemical reaction, associated with the (+) or (−) sign, respectively.The chemical reactions are presented below.
Hydrolysis of thiourea generates the following ions: The Pb 2+ ions are generated in the alkaline medium according to the following dissociation reaction: The coordination complex [Pb(NH 3 ) 4 ] 2+ ion is generated indirectly by mixing the following reagents Pb(CH 3 COO) 2 , KOH, and NH 4 NO 3 .The formation of the coordination complex is key for the release of Pb 2+ with S 2− ions under these conditions: Therefore, ΔG °> 0, and as such, the reaction is not a spontaneous process.In the case of tryptophan, the following dissociation is proposed in alkaline medium [15] where R-COOH is the L-tryptophan solution.Adding (3) and (4), These semiempirical calculations show that the thermodynamic equilibrium in ( 5) is a spontaneous process (ΔG °< 0) and is thermodynamically probable.On the other hand, L-tryptophan is thermally stable until ~251 °C in air atmosphere [16].Thus, decomposition of L-tryptophan is not favourable assuring that this molecule is not fragmented in our working conditions.

Preparation of the Films.
The technique for the film preparation is used in the green CB approach.In the aforementioned synthesis of the PbS films doped systematically with the biomolecule L-tryptophan solution labelled (V [L-trypto- phan] ), we proceed to prepare the glass substrates, which were previously immersed in a K 2 Cr 2 O 7 :HCl:H 2 O solution for ~24.0 h, after which they were rinsed in deionised water (~18.2MΩ) and dried in a clean and hot air flow.The growth of PbS films with five levels of doping L-tryptophan solution was obtained by the addition in situ of 5, 10, 15, 20, and 30 mL in the solutions for PbS crystal growth.The concentrations of precursor reagents were Pb(CH 3 COO) 2 (0.01 M), KOH (0.5 M), NH 4 NO 3 (1.5 M), and SC(NH 2 ) 2 (0.2 M).All precursor reagents were 99.9% pure from Sigma-Aldrich and were used directly.The growing time was ~15.0 min at constant temperature deposition (T d ) ~80 °C.The pH of the total mixture was quantified in the ~8.3-8.4 range, remaining practically constant.Because the solution was routinely added to the reaction mixture during the crystalline growth of films, the samples were labelled as PbS for the undoped film and PbS-T5, PbS-T10, PbS-T20, and PbS-T30 for doped samples.The films obtained showed a change in the coloration of metallic black crystals to dark brown color.The FTIR spectrum was recorded using a Perkin Elmer spectrophotometer in the ~500-4000 cm −1 wavelength regions.Layer

Results and Discussion
The FTIR technique was used to investigate the incorporation of L-tryptophan into the PbS matrix.FTIR spectra of PbS-PbS-T films were obtained over a ~500-4000 cm −1 range.The typical FTIR spectra of L-tryptophan [17] are shown in Figure 1, and the structure is shown in the lower part centered in Figure 1.For this biomolecule, an indole group with an alanine side chain can be observed.The total number of atoms is 27, and hence, the number of vibrational frequencies is 25 located at 51 in-plane vibrations and 24 outof-plane vibrations [18].The vibrational modes are >C-H, >C=O, -O-H, and -N-H (indole) stretch; -N-H (amine) and -C-Cstretch; and -NH + 4 , -COO − bending.Therefore, mainly broad bands located at ~1500-3500 cm −1 can be assigned to combined effects of intermolecular and intramolecular hydrogen bonding.The -COO − antisymmetric stretch located at ~1679 cm −1 generally can be related with H 2 N-H antisymmetric bending modes at ~1584 cm −1 [15].
In this FTIR spectrum, a strong and sharp absorption band is presented in all the nanocrystals located at ~1385 cm −1 , differing only in intensity, which is attributed to asymmetric stretching vibration of the CO 2− 3 anions [4].As mentioned before, L-tryptophan and CO 2− 3 ion probably generate the overlap of their corresponding bands, although this fact must be justified by theoretical models that we will leave for future reports.This absorption is surely a byproduct generated by the progenitor reagents in our growing conditions, probably due to fragmenting conditions of Pb(CH 3 COOH) 2 (see (2)).The band located at ~1602 cm −1 could not be identified, but possibly it is a product generated by thiourea.The vibration of the amine group is associated with the bands corresponding to ~3414 cm −1 (stretching in   the amine group) (>N-H); that is, -NH 2 groups are generated by the dissociation of the progenitor reagents (NH 4 NO 3 ), and the band at ~1632 cm −1 with a small and broad band absorption located at ~1920 cm −1 was assigned to one of the fundamental frequency absorptions of O=C-O − anions [3].An absorption band located at ~2376 cm −1 can be seen and assigned to the -C=N bond which could be generated possibly by the hydrolysis of thiourea under alkaline conditions.In the FTIR spectra corresponding to PbS-PbS-T films, a very intense broad band located at the ~3450 cm −1 region can be associated to stretching of OH − ions and defective sites of the physically adsorbed H 2 O molecules, associated to the alkaline medium.All PbS-PbS-T samples showed two vibration modes at ~2855 and ~2928 cm −1 with less intensity corresponding to CO 2− 3 anions [3].These spectra clearly showed that many OH − , O=C-O − , and CO 2− 3 anions remain on the surface of nanocrystals even after excessive washing as well as drying with hot air flow at ~100 °C.Therefore, the bands associated with the Ltryptophan biomolecule cannot clearly be identified by the FTIR technique.This is stated by the fact that practically the bands observed in the PbS are also presented in the PbS-T nanocrystals.It is likely that these bands are more intense when they interfere with those of L-tryptophan.The bands observed in the thiourea solution when they are compared to those presented by PbS-PbS-T nanocrystals do not coincide and showed a shift towards a higher frequency.A plausible explanation is associated to the state of thiourea; in one case, the band corresponds to the solution and, in the films, they are in solid state, and therefore the shift in these bands is justifiable.
The surface images of the PbS-PbS-T thin films obtained by AFM are shown in Figure 4 for (a) PbS, (b) PbS-T5, (c) PbS-T10, (d) PbS-T20, and (e) PbS-T30 samples.These images showed significant changes when compared to each other.The PbS film showed that the grain growth is rather different from each other, indicating a regular growth rate of the crystal, and no holes are observed between grain boundaries.Likewise, there are grains overlapping each other on a uniform surface.In (b), (c) (d), and (e) images, the grain density was reduced indicating the presence of smaller nanocrystals.The surface roughness is very small, and this fact is modified almost gradually with V [L-tryptophan] .In (e), PbS-T30 images showed that the small spherical nanocrystals with an approximately ~40-20 nm size were uniformly distributed over the smooth homogeneous background crystalline phase of PbS, all layers presenting compact nanograins.In these images, well-defined borders can be observed and the effect of the incorporation of L-tryptophan in the films is clearly remarked.
XRD diffractograms for PbS-PbS-T nanocrystals are shown in Figure 5. Eight reflections can be observed demonstrating a randomly textured polycrystalline film, similar to those already reported [5].These XRD diffractograms exhibited reflections located at 2θ ~26 08 °, 30. the crystalline planes (111), ( 200), ( 220), (311), ( 222), (400), (331), and (420), respectively, and all these reflections can be indexed to PbS nanocrystal diffractograms displaying the zinc blende (ZB) crystallinity phase (JCPDS 05-0592).These diffractograms show sharp reflection, indicating a polycrystalline nature.However, in these XRD diffractograms, a small shift of the crystalline planes to smaller values of 2θ in the PbS-T nanocrystal was observed.This shift in the diffraction lines can be attributed to lattice strain resulting from structural disorder generated by the doping effect.This shift in reflections is usually typical and is associated with the incorporation into the crystal lattice of the dopant ion [3][4][5]10].
The shift induced by electrostatic repulsion can be associated to the electronic cloud in the organic molecule.On the other hand, the absence of other reflections corresponding to clusters and/or impurities induced a good crystallinity quality in the nanocrystals.XRD diffractograms for PbS-T15 and PbS-T20 films displayed a preferred orientation in the (200) reflection plane and has the highest intensity; this behaviour may be attributed to the L-tryptophan effect.This effect can be associated with molecular distribution, so the biomolecule shows a flat end that has a resonant effect correlated with π→π* electron transition, as well as a chiral carbon on the other moiety of the molecule bearing the amino acid functional group [20].The organic molecule possibly undergoes a flattening in the crystalline growth and simultaneously is surrounded by small nanocrystals (nanoparticles that have a dipole moment different from zero, when approaching the charge density of L-tryptophan, and this is modified by the electrostatic interaction producing distortion in the growth of nanocrystals).Thus, the electrostatic interactions induce an orientation change in the crystalline plane (111) presenting a preferential orientation of the (200) crystalline plane, as shown in Figure 5.Such a mechanism has been proposed for the crystalline growth with crystals having different morphologies, as discussed with the obtained AFM results.However, the incorporation in the crystalline lattice of molecules with the dimensions of L-tryptophan (~80 nm) is difficult to explain considering its molecular structure.We propose that PbS nanocrystals are agglomerated around the L-tryptophan molecule generating nanocrystals; this phenomenon leads consequently to the growth of PbS nanocrystals.The average GS versus V [L-tryptophan] plot for PbS-PbS-T films corresponding to the (111) crystalline plane is shown in Figure 6.A strong GS decrease for PbS-T5 and then a gradual increase in PbS-T films can be observed, noticing that the GS reduces in the 5 mL ≤ V L−tryptophan ≤ 30 mL range.For the undoped PbS film, a GS of ~42 nm was obtained, and for PbS-T nanocrystals, the GS was obtained in the ~22-30 nm range.
In several reports, doping is performed with positive and/or negative monovalent ions (Li + ) and divalent (Cu 2+ or Se 2− ) and trivalent (In 3+ ) ions, as well as the simultaneous incorporation of Cd 2+ , Bi 3+ , and Er 3+ ions into the crystal lattice of PbS [4], and, in all these reports, a GS decrease due to the effect of the dopant ion can be observed.A GS decrease is expected to lead to enhanced growth of stable nuclei in the initial growth stages, resulting consequently in smaller GS in the PbS-T nanocrystals.Worthy of mention is the unstable structure of PbS-T nanocrystals, which are incorporated surrounding the Ltryptophan molecule and then strain would arise, allowing L-tryptophan into the PbS nanocrystal to become a stable entity.In order to stabilize the crystal structure, the GS of PbS is reduced to release the strain.This behaviour reducing the GS of the nanocrystals is contrary to what is reported to be the usual when doping with ions that are introduced into the crystal lattice [3].In the case of the L-tryptophan molecule, the situation is different since the molecule has a dimension of ~80 nm.In a report of CdO doped with an organic molecule of greater molecular weight and size (coumarin) [13], the authors associate the incorporation of a coumarin molecule into the crystalline network by replacing oxygen, but the distance of both lattice parameter (a) and the interplanar distance (ID) is one hundred times smaller than the size of the host molecule (see Figures 7(a) and 7(b)).We consider then, according to the molecular dimensions, that such explanation is questionable.
The model that we propose has a very different concept: we associate the crystalline growth with the electrostatic interaction of the PbS nucleus to the electronic cloud (π electrons) of the tryptophan biomolecule.In Figure 7, (a) ID versus V [L-tryptophan] and (b) a versus V [L-tryptophan] of PbS-PbS-T nanocrystals are shown.In these two plots, a quasilinear behaviour can be seen, except for a small shift in the PbS-T20 layer.Both cobehaviours are similar and there is a gradual decrease in ID and a, respectively; thus, it is clear that L-tryptophan is not incorporated into the crystalline network and the effect produces a gradual widening in ID and a, respectively.That is, the formation of clusters where L-tryptophan surrounds and compresses the crystal lattice may be possible because the size of 6 Journal of Nanomaterials L-tryptophan is larger than the PbS nanocrystal, which in turn implies a reduction in grain size as Ltryptophan's concentration grows.By using different V [L-tryptophan] , we can control the level of doping and GS, respectively.Below, we present an empirical and plausible answer to the origin of the GS decrease in the PbS nanocrystal.In order to understand the effect of Ltryptophan on crystal growth, we used a theoretical diagram of the electron density distribution associated with the π electrons.We deemed the electronic charge distribution density of L-tryptophan using the molecular electrostatic potential (MEP) based on the static charge distributions of the nuclei and electrons within it, which can be analyzed to predict the reactivity of the molecule [21].
This potential has also proven to be a particularly useful indicator of the sites or regions of a molecule to which an approaching electrophile or nucleophile would be attracted.It has been applied successfully to study interactions between reactants and for recognition in biological systems (e.g., in enzyme-substrate systems and on molecular surface) [22].In Figure 8, the MEP mapped onto an isosurface of the total electron density for the L-tryptophan is shown, where blue regions are observed on the moiety corresponding to the conjugated rings, as well as to the amino acid functional group indicating higher negative charge.
With the PbS nanocrystal (~42 nm), the MEP behaviour of the aryl group is slightly positive (red color); this charge density significantly alters the GS of crystals in the PbS, although the electric interaction in the solution is difficult to explain.However, a first approximation using this model allows explaining the origin in an approximate and semiempirical way of the gradual GS decrease.
In order to calculate strain (ε), the well-known Williamson-Hall equation was considered [4], where ε of GS is related to the measured full width at half maximum (β) of the diffraction peaks by following the β cos θ = λ/ GS + ελsenθ equation, where λ is the wavelength of the X-ray source and θ is Bragg's angle, respectively.The β cos θ versus senθ plot of PbS-PbS-T nanocrystals is displayed in Figure 9.In these plots, the behaviour is not linear.In general, the slope of the plot gave the amount of residual ε.Therefore, ε can produce defects and structural distortions in the nanocrystal, for example, shrinking in the crystalline lattice constants.The thickness, GS, roughness, stoichiometric ratios, grain boundaries, and stacking faults are parameters associated with ε in semiconductor films [23].The changes presented in ε for this material showed significant differences between them as mentioned before.The L-tryptophan molecule in crystal growth probably modifies its molecular configuration, although investigating these changes requires a deeper study that is outside our objective in the present report.
The behaviour of ε is associated with the incorporation of L-tryptophan.Incorporation is difficult to explain empirically although the anisotropic change is evident in these plots.Consequently, structural changes as well as the  positions of the corresponding ions in the crystal lattice of PbS inside the crystallites are associated to the grain boundary, which dissipates and leads to a reduction in the concentration of lattice imperfections.A strain versus V [L-tryptophan] plot of PbS-PbS-T nanocrystals is shown in Figure 10.Like the GS versus V [L-tryptophan] plot, a drastic change by incorporation of V [L-tryptophan] in the PbS matrix can be observed.This is an interesting point because anisotropy could be modified systematically, although this behaviour has demonstrated that a hybrid film can show an anisotropic response after the confinement of semiconductor macromolecules in the oriented mesochannels [24].Similar results were observed when dye molecules or metal nanowires were introduced into the oriented mesochannels [25].
The experimental results showed that there is a residual ε and the PbS-T films displayed a behaviour associated with the interaction of the surfaces that present a different anisotropy.From these experimental results, the behaviour in the dispersed numerical values of ε is associated with the disordered incorporation of the L-tryptophan molecule that induces drastic changes in PbS anisotropy.Generally, the change in strain is associated with structural (crystalline) changes; in this report, an abrupt change (decrease) is firstly observed and then it remains constant and finally increases.Probably the structural distortion in the crystalline growth of L-tryptophan causes different orientations in the crystalline structure of the PbS, and this is associated with the electrostatic repulsions.Dislocation density (δ) is defined as the length of dislocation lines per unit volume of the crystal, and higher δ values indicate lower crystallinity levels for the crystalline material [26].The following δ = 1/GS equation allows evaluating the experimental value of δ. Figure 11 shows the δ-GS versus V [L-tryptophan] plot.This plot shows a strong change in δ value and then remains with little significant changes, almost reaching a saturation level.Therefore, the number of defects increases gradually with the V [L-tryptophan] increase as expected.The GS decrease presents an increase in the grain boundaries and in the number of defects in the crystalline structure.
The optical properties were also examined to find the correspondence with the structural and morphological properties previously investigated.The reflectance spectra of PbS-PbS-T films were obtained and analyzed over the ~200-1500 nm wavelength range at RT.The reflectance versus wavelength (nm) spectra of PbS-PbS-T nanocrystals are shown in Figure 12.A gradual decrease in reflectance is observed in the ~350-450 nm range, and a high increase in ~450-850 nm in PbS-T corresponding to the visible region can be observed.This low absorbance may be due to a decrease in grain boundary scattering due to a GS enhancement considering the thickness as another parameter in the optical analysis for the materials.One plausible explanation for this optical behaviour in thin films is considering the surface roughness as having a great effect on the optical measurements, mainly at wavelengths (emeries) close to electronic transitions.In these spectra, the electronic transitions are because the GS dimensions are closer to the excitonic radius of PbS.Typically, Ltryptophan has a wavelength of minimum reflectance at ~280 nm (~4.4 eV) and an emission peak that is  9 Journal of Nanomaterials solvatochromic, ranging at ca. ~300-350 nm (~4.1-3.5 eV), depending on the polarity of the local environment [27].
In the experimental results shown, it is not possible to clearly differentiate the bands associated with L-tryptophan; however, changes in the optical response of the PbS nanocrystal were observed.From these experimental observations, it is common to associate this effect of L-tryptophan with a catalyst in the crystalline growth, which inhibits the increase (volume and length) of crystal.The absorbance spectra of PbS-PbS-T nanocrystals exhibited low absorption bands (bands shown in green and blue color) located at ~225 nm (~5.5 eV), ~352 nm (~3.6 eV), 501 nm (2.4 eV), ~589 nm (~2.1 eV), ~618 nm (~2.0 eV), ~665 nm (~1.8 eV), ~774 nm (~1.6 eV), and ~789 nm (~1.5 eV) due to a strong confinement effect [3-6, 10, 28].It can be seen that PbS exhibited a strong and sharp absorption band located at ~352 nm (~3.6 eV), which is fairly blue-shifted from the absorption edge of bulk PbS (~3020 nm) already reported [29], because the UV absorption decreases dramatically below the wavelength corresponding to the band edge.It has been reported that this kind of band edge luminescence arises from the recombination of excitons shallowly trapped in electronhole pairs [30].The alkoxy radical is a well-known decomposition product of many carboxylic acids and displays a signature absorption profile ranging from ~500 to 650 nm (~−1.9-2.4 eV); see (1) and (2) [31].Such effect is associated with the L-tryptophan molecule as well as the CO 2−  3 ions that may be present on the surface, as well as the volume of these nanocrystals.The transition band located at ~225 nm (~5.51 eV) cannot be identified, but it can be associated with the incorporation of L-tryptophan.In our opinion, this optical and structural behaviour requires an analysis through the application of some theoretical models as mentioned before and differentiating interactions of L-tryptophan with PbS nanocrystals; this report only presents the experimental results and a semiempirical analysis.The excitonic band located at ~665 nm (~1.8 eV) is generally assigned to the 1 S h → 1 S e transition [32].Though there has been debate over assignment of the excitonic transition at ~1.4 eV (~885 nm), it is generally considered as a 1 P h → 1 P e transition band and we do not issue any comments on that statement.The band located at ~789 nm (~1.5 eV) is probably generated to the electronic transitions associated with the excitonic band located at ~774 nm (~1.6 eV).On the other hand, the bands at ~665 nm (~1.8 eV) and ~589 nm (~2.1 eV) are due to higher energy transitions from 1 D h → 1 D e and 2 S h → 2 S e , respectively [33,34].Regarding the excitonic absorption band reported at ~618 nm (~2.0 eV), it is well-known that this peak is strongly related to surface change separation and polarization effects and is thus sensitive to charges on the surface molecules [35].The shift seen in some transitions is associated with the polarization of L-tryptophan and impurities incorporated during crystalline growth.We associate this molecular effect to the presence of the L-tryptophan molecule that is surrounded by PbS nanoparticles according to our semiempirical model proposed.There have been reports about a very large Stokes shift in PbS quantum dots, which was attributed to the presence of localized surface states or trap   Journal of Nanomaterials states [6].The absorbance versus wavelength spectra ranging from ~564 to 729 nm (~1.7-2.2 eV) for PbS-PbS-T films are shown in Figure 13.
A typical absorbance spectrum of PbS-PbS-T samples in the ~500-900 nm (visible region) wavelength range is presented.This interval was chosen to examine the typical electronic transition bands associated with the quantum confinement effect.The PbS-T20 and PbS-T30 nanocrystals showed a wide and intense band located at ~550-680 nm (~2.2-1.8 eV).These bands are shown with a green row for a rapid appreciation and generally can be identified with electronic transition in nanocrystalline PbS [36] induced by the widening of the E g (energy levels by GS decrease).In other words, the GS is approximately the size of the exciton radius and this electronic transition can be appreciated although it is not a very intense band.This transition band has been reported in doped-cobaltocene PbS and PbSe and is associated with the charge transference of such molecule, because of mirror symmetric valence and conduction bands in PbS, with these transitions having the same energy and strength [11].Such behaviour can be associated considering the following plausible explanation.The redox potential for oneelectron oxidation of L-tryptophan, as well as for a few simple indoles and phenols, has been determined, with the value for L-tryptophan (ε = 1 0 V versus NHE at pH~7 0) [37].Due to the uncertainty about the redox potential for the biomolecule which lies above the conduction band edge of bulk PbS (0.1 V versus SHE) [38], we should expect that the electron transfer from L-tryptophan to the PbS nanocrystal is energetically favourable and significant changes in these electronic transitions are energetically probable.
Once the electrons are transferred to the 1 S e conduction band state, the amplitude of the 1 S e peak is expected to be reduced due to Pauli blocking.To visualize in detail, the transitions are presented by the PbS nanocrystal in such region.A deconvolution was carried out in the Gaussians corresponding to the PbS-PbS-T layers.The deconvolution of absorbance spectra in the range of ~1.85-2.07eV (~564-729 nm) for (a) PbS-PbS-T, (b) PbS-T5, (c) PbS-T-T10, (d) PbS-T20, and (e) PbS-30 nanocrystals is shown in Figure 14.All these bands showed three transitions with a small shift.Gaussian line fitting of a PbS-T film shows, as the origin of the absorbance anisotropy, a weak contribution due to the Ltryptophan molecule featuring the dominant Gaussian curve.It is observed here that in the PbS-20 sample, the contribution is somewhat intense; this behaviour can be associated with the results of ID and a.This film presents a sharp jump with respect to all the samples according to Figures 7(a) and 7(b), respectively.The components are most probably associated with the lifting of the degeneracy due to coupling of equivalent L-valleys and splitting of the lowest electronic transition in PbS-T nanocrystals.In regard to the excitonic absorption peak reported at ~580 nm (~2.1 eV), it is well-known that this peak is strongly related to surface change separation and polarization effects and thus is sensitive to charges on the surface of molecules [39], and the excitonic peaks located at ~1.8 eV and ~2.1 eV are due to higher energy 1 S e → 1 S h and 1 P e → 1 P h transitions, respectively [10].The diagram for 1 D h → 1 D e , 1 S h → 1 P e , 1 P h → 1 S e , and 1 S h → 1 S e transitions is shown in Figure 15.The excitonic peaks at 1.85 eV ( 2 S h → 2 S h ) and 2.15 eV/ 2 P h → 2 P e ), respectively, are due to higher energy transitions [40].
Different reports have examined computational models about the GS decrease generating energetic levels within the band gap energy (E g ) and the materials presenting the effect of quantum confinement.Quantized energy levels of PbS-PbS-T nanocrystals are shown in Figure 15.
The experimental optical data were analysed from the tau relation αhν = A hν − E g n/2 where hν is the photon energy, E g is the band gap energy, and A and n are constants.A is related to the effective masses associated with the valence and conduction bands [41].However, the PbS sample has a direct E g ; therefore, the constant n is equal to 1.The variation of αhν 2 with hν for PbS-PbS-T is a straight line which confirms the direct transition.αhν 2 versus hν plot of the PbS-PbS-T nanocrystal is shown in Figure 16.E g was determined by extrapolating the straight-line portion to the energy axis for cero absorption coefficient α.The E g versus V [L-tryptophan] plot of PbS-PbS-T thin films is shown in Figure 17, and it was found to be ~1.4-2.1 eV.Experimental numerical values of E g of PbS-PbS-T thin films are shown in Table 1.This shift may be due to the quantum confinement effect in nanocrystalline films [42].The E g value clearly increases gradually with V [L-tryptophan] , particularly in the PbS-T30 sample.The confinement effect appears as a shift in the edge of the absorption spectra and the absorption to lower wavelengths due to the GS decrease.There is a decrease in number of defects as well as roughness on the surface and H 2 O molecules and CO 2− 3 ion that adhere strongly both on the crystal surface and on the volume itself.The E g for PbS samples with ~1.4 eV (PbS) and two transitions of ~1.5 eV and ~2.1 eV are observed in the PbS-T30 film.The E g increase when increasing V [L-tryptophan] in the films is reflected by the presence of an excitonic structure material.Excitonic structures are readily observed in large E semiconductors with binding energy [43].The shift observed in the position of the excitonic peak towards higher energies in the PbS nanocrystal has been explained due to a doping effect [44].It is clear that E g increases when V [L-trypto- phan] increases, observing a strong confinement in doped PbS-T films.The optical and structural properties showed worth-noting changes in addition to the effect of strong quantum confinement observed in this semiconductor when doped systematically with the L-tryptophan biomolecule.

Conclusions
The effect of the dopant promotes the GS decrease, and this fact induces an E g shift towards greater energy.The structural properties are directly associated with the optical properties, and consequently, the existence of the effect of quantum confinement presented in this material is generated by the Ltryptophan biomolecule with effect on the crystalline growth during the nanocrystal formation.In summary, we have found an efficient process to introduce the L-tryptophan 11 Journal of Nanomaterials  biomolecule into the PbS matrix with, practically, no large damage to both the biomolecule and the nanocrystal matrix.Thus, it was found that the doping effect plays an important role in the formation of PbS nanocrystals.The optical and structural properties showed worth-noting changes, and the effect of strong quantum confinement observed in this semiconductor was due to the systematic doping with the Ltryptophan biomolecule.This method can probably be extended to doping with other organic molecules.We have thus developed a green and straightforward protocol to obtain PbS nanocrystals adjusted to match the ideal ~1.5 eV required for achieving a most efficient solar cell.The behaviour of E g in this region displayed significant changes associated with the interaction of the L-tryptophan biomolecule.

Figure 2 :Figure 3 :
Figure 2: FTIR spectrum of thiourea solution.The band identified with the OH − and CO 2−3 ions can be seen.

Figure 6 :
Figure 6: Average GS versus V [tryptophan] plot.An abrupt decrease with V [L-tryptophan] and further decrease reaching saturation can be observed.

Figure 7 :
Figure 7: (a) Interplanar distance (ID) and (b) lattice parameter of PbS-PbS-T nanocrystals.A gradual widening of these crystalline parameters can be observed.

Figure 8 :
Figure 8: Molecular electrostatic potential (MEP) mapped onto an isosurface of the total electron density for the L-tryptophan molecule.

Figure 10 :
Figure 10: Strain versus V [tryptophan] plot of PbS-PbS-T nanocrystals.A drastic change is observed by the incorporation of V [tryptophan] into the PbS matrix.

Figure 12 :
Figure 12: Reflectance versus wavelength spectra from the ~200 to 1500 nm range of PbS-PbS-T films.The spectra of the PbS-T films show an absorbance decrease when compared to the PbS nanocrystals.

Figure 13 :
Figure 13: Absorbance spectra at the ~500-900 nm range of PbS-PbS-T films, with PbS-T films showing a decrease in absorbance when compared to the PbS film.

Figure 17 :
Figure 17: E g versus V [L-tryptophan] plot of PbS-PbS-T nanocrystals.The behaviour of E g in this region displayed significant changes associated with the interaction of the L-tryptophan biomolecule.

Figure 15 :
Figure 15: Quantized energy levels of PbS-PbS-T nanocrystals.The excitonic levels located at ~1.4 eV, ~1.8 eV, and ~2.1 eV are due to higher energy transitions from 1 D h → 1 D e and 2 S h → 2 S e states.

Figure 16 :
Figure16: αhν 2 versus hν plot of PbS-PbS-T films, observing a E g shift associated with the PbS doping effect with the L-tryptophan biomolecule, thus presenting a quantum confinement effect.

Table 1 :
Experimental values of E g for PbS-PbS-T thin films.