Growth and PhysioChemical Properties of Second-Order Nonlinear Optical L-Threonine Single Crystals

The present aim of the paper is to grow and to study the various properties of L-threonine amino acid single crystal in various aspects. Crystal growth of L-threonine single crystals has been carried out with the help of crystallization kinetics. pH and deuteration effects on the properties of the grown crystals have been studied and the results presented in a lucid manner. The various second-order NLO parameters were evaluated using anharmonic oscillator model. Particle and ion irradiation effects on structural, optical, and surface properties of the crystals have also been studied in detail.


Introduction
1.1.Introduction.One of the important applications in photonic technology is the use of nonlinear optical (NLO) effects.A nonlinear optical effect is the interaction of an electromagnetic field of high intensity laser light with a material.Materials with large nonlinear optical susceptibilities are of importance in optoelectronics, where they are used in the construction of the optical analogues of the circuit elements-modulators, amplifiers, rectifiers, switches, and so forth, of conventional electronics.Some organic materials have exceptionally large nonlinear susceptibilities, the origins of which can be tracked back to the molecular electronic properties and in the recent years, a great deal of effort has been expanded on their identification and development [1][2][3].The material may be in number of different macroscopic forms: crystals, polymers, thin films, and so forth, but always with the proviso that for second-order effects, the structure must at least on average be noncentrosymmetric.Second harmonic generation (SHG) is one of the techniques used to investigate the second-order nonlinearities in new materials and if the SHG tensor, linear optical properties, and the details of the crystal structure with molecular coordinates can be established, it is possible to make reasonably accurate predictions of other second-order parameters such as the linear electro-optic coefficients.
The linear and nonlinear optical properties of organic crystals are highly anisotropic, and the behaviour of the nonlinear output is affected critically by the values of the linear dielectric tensors at the fundamental and second harmonic frequencies.SHG and the linear electro-optic effect both have their origins in the second-order electric susceptibility as can be seen from the following simplified analysis, where the vector and tensor indices are temporarily suppressed.
The time dependent part of the electric field of plane polarized light is given by E = E ω sin ωt, ( 1 ) and that the light passes through a crystal across which a static field E 0 is applied in the same direction as the radiation electric field.Then to second order, the polarization of the crystal is P = ε 0 χ (1) (E 0 + E ω sin ωt) + χ (2) (E 0 + E ω sin ωt) 2 , P = P (0) + P (1) + P (2) , (2) where P (1) = ε 0 χ (1) + 2χ (2) E 0 E ω sin ωt, P (2) = − 1 2 ε 0 χ (2) E 2 ω cos 2ωt. ( The linear polarization can be written as P (1) = ε 0 χ eff E ω sin ωt, ( 4 ) where χ eff = χ (1) + 2χ (2) E 0 is an effective susceptibilities depending linearly on the static field leading to an effective refractive index "n" n ω + χ (2)  n ω E 0 , ( 5 ) where n ω is the refractive index for light of frequency ω in the absence of second field.The lowest-order correction term varies with the first power of the low frequency field.This is termed as linear electro-optic Pockel's effect, often measured in bulk materials through electric field induced birefringence.
The polarization P (2) is at a frequency 2ω and leads to second harmonic generation.Both SHG and the Pockels effect originate from χ (2) , although the frequency dependence of the nonlinear susceptibility must be taken into account when attempting to relate the two effects.Detailed accounts of the second order nonlinear optical effects have been discussed by Yariv (1975) [4].
A general feature of second order NLO susceptibilities is that they can be nonzero only in noncentrosymmetric materials.For, if the direction of the field is reversed, then in a centrosymmetric material the induced polarization must also reverse, but the second order terms containing the product of two field components do not change sign. (2).Organic crystals are formed through the action of nonvalence intermolecular forces.As a consequence, the individual molecule retain their identities to a much greater extent than in the case for the atomic or ionic groups semiconductors or inorganic insulators.Macroscopic crystalline susceptibilities can therefore be related to molecular polarizabilities and hyperpolarizabilities, although internal field corrections must be applied in making a quantitative connection between the microscopic and macroscopic quantities.

Molecular Origin of χ
The electric field of the radiation induces an electric dipole in the molecule where for the first hyperpolarizability β to be nonzero, the molecule itself must be noncentrosymmetric.High values of χ (2) are derived from high values of β and the exceptionally large values found in certain organic molecules can be traced to the electronic hyperpolarizabilities of these molecules.
In trying to identify the molecules with this property, the following three general features should be considered.
(i) The electronic structure should be effectively coupled to the electric field of radiation.
(ii) Resonance or preresonance enhancement should be used to magnify the response.
(iii) The molecule should be effectively noncentrosymmetric.
In standard time-dependent perturbation theory, the perturbed molecular ground state is expanded as a sum over of all the electronic states of the unperturbed molecule.Usually, for the molecules of interest, the large value of β is accounted by the contribution of one particular virtual excited state.
Assuming that the effect is essentially one dimensional, the following formula can be derived (Bloembergen and Shen) [5]: The formula which has provided a great deal of guidance in the selection of the types of molecules to be investigated with the aim of finding exceptionally large first hyperpolarizabilities can be interpreted as follows.
The states g| and |n are, respectively, the electronic ground state and the main contributing electronic excited state; the quantity hω ng is the excitation energy from g| to |n ; "ω" is the angular frequency of the input radiation.The square modulus of the transition moment g|x|n is proportional to the oscillator strength of the transition and measures the coupling of the radiation field to this transition.Δμ ng are the change in dipole moment (μ n −μ g ) on excitation and is the quantity that incorporates the essential effect of the lack of a centre of symmetry in the part of the electronic system involved in the g| to |n transition.The nonzero values of Δμ ng are associated with an asymmetric change in the electronic distribution.The values of β can be greatly enhanced by working under conditions, where the factor [ω 2  ng − 2ω 2 ] is small-an effect described as preresonant enhancement.

Second-Order Nonlinearity in Hydrogen-Bonded Amino
Acids.Amino acids are interesting materials for second order NLO applications as they contain a proton donor carboxylic acid (-COO) group and the proton acceptor amino (-NH 2 ) group in them.Crystalline salts of amino acids and their derivatives are one of the direction for searching new second order NLO materials.The much attracted salts of L-arginine [6][7][8][9], L-histidine [10][11][12][13], and L-Lysine [14][15][16] complexes have been reported earlier.The enantiomorphic "D" and "L" residues of amino acids always crystallize in noncentrosymmetric space groups.The optical activity of amino acids favours for the generation of second harmonics and their molecular structures are stabilized through hydrogenbonded networks of either by O-H • • • O or N-H • • • O or both bonds.The dipole-dipole orientations of H-bonded chiral molecules form pairs in parallel fashion which gives a nonzero first-order hyperpolarizability.The influence of strong and very strong hydrogen bonds on the nonlinear optical properties of these types of crystals was also considered earlier [17].However the role of hydrogen bonding on the NLO properties of crystals is still not very well known.Besides, amino acids are more flexible to structural changes with good thermal strength and wide transparency in the UV-Vis-NIR range.Hence, a new strategy has been developed to increase the first-order hyperpolarizabilities based on acid-base interactions.The increase in second order NLO coefficients and their improvements in mechanical and thermal strength were observed by many investigators [18][19][20].
1.4.Crystal Growth.The field of crystal growth is interdisciplinary, as it needs expertise in fields such as chemistry, physics, mathematics, and crystallography.Growths of crystals essentially involve heat, and mass transfer phenomena as well as convection effects.The related temperature and concentration fields have a dominant effect on the quality of the growing crystals.Therefore appropriate control of fluid dynamics and a good understanding of the convection phenomena are very important for the growth of high quality crystals.Convection is the transport of momentum, heat, and mass due to the motion of a fluid.The role of fluid flow and convection in crystal growth has already been studied extensively [21].
1.4.1.Growth from Solutions.Crystal growth from solution is based on the existence of a metastable region, where formation of crystalline nuclei in the solution volume is impossible, but it is possible to grow crystals on a seed.Figure 1 presents a part of a classical phase diagram of a twocomponent system for a solute with a positive temperature coefficient of solubility dC 0 /dT > 0 [22].
The diagram can be described in terms of three zones.
(i) The stable zone of unsaturated solution where crystal growth is impossible.
(ii) The metastable zone where spontaneous crystallization is improbable but crystal growth on a seed occurs.
(iii) The labile zone of spontaneous nucleation.
Cooling a solution with concentration "C" from the initial point A I leads to the A on the solubility curve.At this point, the solution becomes saturated and can exist in equilibrium with the solid if C = C 0 (T 0 ).Further cooling leads to a state where the concentration C 0 (T) at a given temperature and the solution becomes supersaturated.However, spontaneous formation of the solid phase does not occur in this region until a point B on the metastable boundary is reached.If crystallization in a solution saturated at the temperature T 0 starts at the temperature T, the position of the metastable boundary can be expressed in the units of maximum overcooling ΔT max = T 0 − T, the absolute supersaturation or in the units of relative supersaturation One more important parameter that characterizes the metastable zonewidth is the induction period τ i .It corresponds to the time during which the system can remain without spontaneous nucleation at constant supersaturation within the metastable zone.
Growing a crystal without spontaneous nucleation is possible only within the metastable zone.In homogeneous nucleation, the formation of a particle of a new phase leads to the change in Gibbs free energy ΔG, determines the two process (i) joining molecules into cluster, (ii) the formation of the surface area of the new particle.
The change in Gibbs free energy depends on change in the chemical potential during the formation of the cluster of radius "r".Maximum value of ΔG obtained from the condition d(ΔG)/dr = 0 corresponds to critical radius r * and hence the expression for critical free energy can also be obtained.The quantitative estimation of parameters like width of the metastable zone, degree of supersaturation, induction time, critical radius, and critical free energy decide the stability of the solution for the successful growth of crystals.

A Relay Mechanism of Crystal Growth in Amino Acids.
Amino acids and their derivatives decompose before melting and do not have a precise melting point and hence high temperature solution growth techniques are not feasible for growing these types of crystals.Low-temperature solution growth is the best and well-suited method for the single crystal growth of amino acid crystals.A model for predicting the shape of amino acid crystals, crystallized from solution has also been predicted earlier [23].Weissbuch et al. [24] have given a sterochemical approach for solvent-solute binding on the growth of polar amino acid crystals especially for amino acids having one carboxylate (CO 2 − ) and one amino (NH 3 + ) group like glycine, L-alanine, L-threonine, and so forth.
An entirely different approach involved through selective adsorption of solvent at a subset of molecular surface sites, of say type B and repulsion of solvent at the remaining set of surface sites, of say type A, on the crystal face.This is shown in Figure 2 (a), where the difference between the two types of sites was emphasized by assuming a corrugated surface such that the A-type site is a cavity and the B-type site is on the outside upper surface of the cavity.Figure 2(a) shows the B-type sites blocked by the solvent "S" and A-type sites unsolvated.Thus solute molecuales can easily fit into A-type sites.However once locked into positions (Figure 2(b)), the roles of the A-and B-type sites are essentially reversed and the solvent molecules which originally were bound to B-type sites would be repelled since they now occupy A-type sites.This cyclic process can lead to fast growth by a kind or "relay mechanism." In such a situation, where desolvation is rate limiting, the free energy of incorporation of a solute molecule helps  to displace the bound solvent.This relay mechanism may de demonstrated for the crystals having polar axis.Crystals like L-alanine and L-threonine having similar packing features crystallize in the same space group P2 1 2 1 2 1 of an orthorhombic system.Hence discussion can be confirmed to both of them.The zwitterionic molecules are aligned in such a way that CO 2 − groups at one end of the polar c-axis and NH 3 + groups at the opposite end.The crystal has a polar morphology, with the CO 2 − groups emerging at the -C end as shown in Figure 3.
The (0 0 −1) face at the carboxylate end contains cavities.This face grows and dissolves faster in aqueous solution than the smoother amino face.Faster growth at the (0 0 −1) side of the crystal in aqueous solution is due to the relay mechanisms of growth accordingly to the following arguments.The water molecules may be strongly bound by hydrogen bonds to the outer most layer (0 0 −1) of CO 2 − groups.In contrast, the pocket acts as a proton acceptor for the NH 3 + groups of the solute molecules.Replacement of the solute NH 3 + moiety by solvent water within the pockets yields repulsive or at best, weakly attractive interactions.The pockets will therefore be weakly hydrated and so relatively easily accessible to the approaching solute molecules.Higher crystal attachment energy also accounts for the faster growth of the crystals along the c-axis.
1.6.Kurtz-Perry Powder SHG Measurement.The second harmonic generation (SHG) efficiencies of the crystals under investigation have been evaluated using the conventional Kurtz-Perry powder technique [25] following the principle exhibited in Figure 4.  Calibrated polycrystalline samples were illuminated by nanosecond pulses at the fundamental wavelength λ ω = 1064 nm, delivered by an Nd : YAG laser with a pulse width of 10 nanoseconds and a repetition rate of 10 Hz.In the case of phase matchable crystals, with the powder SHG efficiency being an increasing function of the particle size, a large calibration (150-200 μm) was chosen for both the powder under test and the phase matchable material taken as a reference sample (KDP).
Following the experimental setup represented in Figure 5, the fundamental beam is divided into two identical beams by a beam splitter BS.One of them illuminates the sample under study and the other one illuminates a reference sample.The two samples are powders of the same calibration placed in identical holders.The second harmonic powder diffused by the sample under test (P 2ω ) is measured as a function of second harmonic power diffused by the reference sample P r2ω when the pump beam power is increased by rotating a half-wave plate (HW) between two parallel polarisers P.
The effective second harmonic coefficient of the sample could be found out using second harmonic beam powers P 2ω and P r2ω .The output powers diffused by the sample under test and the reference are proportional to the square of their effective coefficients d eff and d reff , the square of the incident beam power P ω of the fundamental wave and also to a factor K which depends on the refractive indices of the sample, but it may be considered approximately as a constant in this evaluation test.
This can be written as Since SHG coefficient of the reference sample is known, d eff of the sample under test could be found out.It can be pointed out that this evaluation does not take into account the absorption of the samples in the visible part of the spectrum and therefore some of the effective coefficient may be underestimated.
1.7.L-Threonine.L-threonine is an uncharged neutral amino acid and a useful compound for its nonlinear optical properties.It contains two asymmetric carbon atoms with a single carboxylate (CO 2 − ) and amino (NH + 3 ) group.The scheme of L-threonine molecule in the zwitterionic state is shown in Figure 6.Its crystal structure was first solved by Shoemaker et al. [26].
It crystallizes in noncentrosymmetric P2 1 2 1 2 1 space group with 4 zwitterionic molecules in the unit cell linked by a 3-dimensional network of hydrogen bonds of unequal strength [27].Its phase matching properties have already been reported with a very few details on the growth and crystal quality.Despite the phase matching loci of Lthreonine are similar to a uniaxial negative crystal like KDP, the material belongs to a negative biaxial one showing both type I and type II phase matchings.The third-order nonlinearity of L-threonine has been investigated through the Z-scan technique and the nonlinear index of refraction (n 2 ) was found to be of the order 10 −20 m 2 /W at 775 nm [28].

Experimental Procedures on L-Threonine
Single Crystals  particular, control of nucleation in polar crystals like amino acids, peptides, and sugar is significant in the sense that they have different growth rates at the opposite poles of a polar axis.Hence, it is necessary to investigate the nucleation thermodynamical nucleation parameters associated with the crystal growth process.The crystallization parameters could be found out experimentally so as to control nucleation.

Solubility and Solvent Selection.
The crystal morphology of polar crystals is highly influenced by solvent selection.
The role played by solvent-solute interaction in L-alanine, L-aspartic acid, L-asparagine was reported recently [29].Tanaka and Matsuoka [30] proposed two properties that would influence the crystal habit, they are (i) the differences in both the heat of crystallization and (ii) in the dipole moments between the crystallization component and the solvent.When a solvent having smaller dipole moment and the ideal solubility is selected, large three-dimensional crystals can be expected to grow.Based on the above views, the solubility of L-threonine has been tested in various solvents like water, methanol, ethanol, and their mixtures.Since Lthreonine is a polar amino acid and its dipole moment is nearly equal to that of water, deionized water was found to be the best solvent for the crystallization of L-threonine single crystals.The solubility diagram of L-threonine in water is given in Figure 7.

Interfacial Energy.
The surface energy (σ) between a solid crystal and the surrounding saturated solution is a crucial parameter to determine the rate of nucleation and growth of the crystal.Nucleation experiments have been employed to determine the value of surface energy of saturated aqueous solution by Nielsen and Söhnel [31].From the experimental solubility data, the linear relationship between the surface energy of the solution and the molar concentration of the solute has been discussed by many authors [32,33].Bennema and Söhnel [34,35] have derived the expression for the linear dependence of "σ" with solubility from where χ m is the mole fraction of the solute, T is the temperature in Kelvin, "a" is the interionic distance, and k is the Boltzmann's constant.
The above expression has been used to determine the surface energies at different temperatures using the solubility data.The calculated interfacial energies are in the range 0.76 × 10 −5 − 1.09 × 10 −5 J/m 2 .Since interfacial energy (σ) is inversely proportional to growth rate (R) of a crystal, the lesser σ values obtained for L-threonine in aqueous solution are responsible for faster growth along the direction of polar axis of the L-threonine crystal.

Metastable Zone Width and Induction
Period Measurements.Metastable zonewidth or Ostwald-Meirs region is defined as the degree of supercooling (ΔT) needed for one nucleus to be formed per unit volume in one second.It can be measured for various saturation temperatures using the conventional polythermal method [36,37].In this method, the saturated solution is cooled from the overheated temperature until the first visible crystal is obtained.Since the time taken for the formation of the first visible crystal after the attainment of the crystal nucleus is very small, the first crystal observed may be taken as the critical nucleus.Metastable zonewidth for various saturation temperatures has been shown in Figure 8. Induction periods of L-threonine aqueous solution were also found out by using the isothermal method [37].
The saturated solution was cooled to the desired temperature and was maintained at that temperature.The time taken for the formation of the first tiny crystal was measured and termed as induction period (τ) of the solution.Repeated trials were done to ensure the correctness of the observed values.

Nucleation Kinetics.
From the classical theory of nucleation for the case of crystal growth from aqueous solution, the supersaturation of a solution for a given temperature is where H s is the heat of the solution.ΔT is the degree of supercooling and R is the gas constant.S can be calculated from the linear relation between ln(χ m ) and (1/T).
Based on the linear relationship between ln(χ m ) and (1/T), the value of ΔH/R was estimated and the supersaturation of the solution has been found out for different degree of super cooling (ΔT).
The driving force for the nucleation from the saturated solution is given by where ΔG v is volume free energy change which usually possess negative values for liquid to solid phase transformation.
V is the specific volume of the solute molecule and k is the Boltzmann constant.The Gibb's free energy change involves in the formation of an L-threonine nuclei (spherical) which contains two terms, namely, the volume free energy term and the surface free energy term and it can be written as The critical radius and critical free energy barrier for nucleation are related by 2.1.5.Crystallization Kinetics.From the above formulae, critical radius (r * ), critical free energy (ΔG * ), volume free energy (ΔG v ), metastable zonewidth, induction period, and interfacial energy values have been found out for various temperatures and are tabulated in Table 1. Figure 9 represents the variation of induction period (τ) with supersaturation.From the curve, it is obvious that as supersaturation increases, the induction period value decreases and hence the nucleation is more probable for the higher value of supersaturation.The calculated interfacial energies for various temperatures were found to be very low when compared to other organic and inorganic solutions [38,39].So growth rate of L-threonine single crystals would be higher than that of many NLO crystals.At all temperatures, zonewidth of the solution is considerably larger and it increases with an increase in temperature.The larger metastable zone widths at all temperatures greatly avoid the secondary nucleation formed during crystal growth.So, bulk crystals can be effectively grown from slow cooling technique at higher saturation temperatures.
Based on the ideas obtained from results of the graphs, the following growth conditions have been adopted for the bulk growth of L-threonine single crystals.
(i) As the multinucleation is more probable in higher supersaturation, crystals have been grown at low supersaturation values like 1.02, 1.03, and so forth, for all saturation temperatures.
(ii) Interfacial energy of the aqueous solution of Lthreonine was found to be low and the medium has less viscosity, hence water was used as a solvent for the growth process.
(iii) Zonewidth of the solution increases with saturation temperature and the growth of crystals at higher saturation temperatures like 60 and 70 • C could greatly avoid secondary nucleation for a higher degree of supercooling.However the evaporation rate of the solvent used here is high at the higher saturation temperatures and hence the mother solution was saturated between 40 and 50 • C for an uninterrupted growth of the crystals.
So, study of interfacial energy, induction period, supersaturation, and metastable zonewidth gives an idea to have controlled and uninterrupted growth throughout the growth period.

Crystal Growth of L-Threonine.
In the present investigation, large and highly optical quality single crystals of L-threonine (2-Amino-3-hydroxybutyric acid) have been grown from aqueous solution by temperature lowering method.The grown crystals were subjected to different characterization studies such as single crystal XRD, FTIR, FT-Raman, and UV-Vis-NIR analyses.Dielectric, thermomechanical analyses and microhardness measurements were also carried out for L-threonine single crystal.Thermal stability of the grown crystal has been studied by DSC and TGA-DTA analyses.Kurtz-Perry SHG test was also carried out to confirm the second order nonlinear optical property of the grown crystal.
High purity L-threonine (99.9%) was used for the crystal growth experiments.The solubility of L-threonine was found to be very high in water compared to pure organic and mixed solvents and hence deionised water was used as a solvent.Small transparent single crystals, free of macro defects, obtained by spontaneous nucleation from the saturated aqueous solution of L-threonine were selected as seed crystals.Mother solution of L-threonine was saturated at 40 • C and a seed was introduced into the saturated solution placed in a constant temperature bath (accuracy ± 0.01 • C) at 40 • C and the solution was maintained at this temperature for 24 hours.The solution was then allowed to cool at a rate of 0.1 • C/day under constant stirring.Transparent crystals with defined morphology elongated along c-axis were grown after a typical growth period of 30 days; that were shown in Figure 10.

Crystal Morphology.
The morphology of the grown crystal was measured using an Enraf-Nonius CAD4 singlecrystal diffractometer.The morphological planes are made up of {110}, {120}, and {011} faces.The length of the crystal is elongated along the c direction (shortest unit cell axis).The top and the bottom planes of the crystal are Friedel pairs.It is worthwhile to note here that the morphology of L-threonine is quite similar to that of L-alanine single crystals [40] and is shown in Figure 11.

Influence of pH on the Growth of L-Threonine Single Crystals.
It is well known that quality and the physical properties of crystals grown from solution are considerably influenced by pH of the solution.This has been investigated in a number  of cases [41,42].For example, when the solution pH deviates from the stoichiometric pH, the solubility increases in the case of KDP [43].From the utility point of view, it is advantageous to grow the crystals at various pH values.
For the bulk growth of L-threonine single crystal at different pH, slow cooling method was employed.For that, the pH of the mother solutions were adjusted and altered to pH = 4.4, 5.87, and 6.70 with the help of dilute acetic acid.Seed crystals were taken by slow evaporation.Precautive measure was taken to avoid fungal contamination of the solution by adding 10% ethyl alcohol in the growth vessel.Mother solutions of different pH were saturated at 45 • C and allowed to cool at the rate of 0.1 • C/day.Crystals of various pH have been harvested at different growth periods and hence the size of crystal varies.This has been clearly projected in Figure 12.
Crystals of pH = 6.70, 4.40, and 5.87 have been grown at the growth run of 45, 30, and 20 days, respectively.The crystal grown at the characteristic pH (PI) called isoelectric point (pH = PI = 5.87) of L-threonine was found to be highly transparent when compared to crystals grown at pH = 4.4 and pH = 6.7.The transparency variation with pH could easily be seen from the photograph shown.Using the deuterated L-threonine salt and D 2 O, the crystal growth proceeds by employing slow cooling technique with the help of deuterated L-threonine (D-LT) seed crystal of well-defined morphology.The deuterated solution was saturated to a desired temperature.The seed crystal suspended in the solution was allowed to rotate at low rpm (4-10 rpm).Crystals of dimensions 15 × 6 × 2 mm 3 have been grown after a typical growth period of 6-7 days and are shown in Figure 13.The morphology of the deuterated crystal is almost similar to normal L-threonine.No new crystal face was observed in the grown crystal.

Evaluation of Second-Order NLO Coefficients Using Three-Dimensional Anharmonic Oscillator (AHO) Model.
Optical effects in matter result from the polarization of the electrons in the medium in response to the electromagnetic field associated with the light propagating the medium.A simple model for these interactions is the Lorentz oscillator described in a variety of book sources.Here an electron is bonded to a nucleus by a spring with a natural frequency ω o and equilibrium displacement "x".The electric component of the optical field felt by the electron is represented as a sinusoidally varying field.Considering only the linear response of this object, the equation of motion using harmonic oscillator approximation can be written as where Γ is damping constant e-electronic charge; ω o is electronic resonance frequency.Solving ( 16) the linear susceptibility is given by Neglecting the damping term for the range of wavelength is considered, then we have For the present study, we have considered anharmonic oscillator model first introduced by Bloembergen [44].Using this model, the expressions for the second order nonlinear susceptibilities such as linear electro-optic effect and the second harmonic generation are described by adding anharmonic terms in the first equation.
Bloembergen's anharmonic oscillator model was well established and modulated by many authors [45][46][47].Akitt et al. [48] utilized two coupled anharmonic oscillators to predict the nonlinear susceptibilities for a simple cubic material.The nonlinearities are assumed to be due to bound electrons and the fundamental ionic lattice resonance and their mutual interactions.The model predicts nonlinear susceptibilities in terms of the linear susceptibilities and four constants, the constants being anharmonic potential coefficients included as the perturbations.With the constants fixed, the SHG susceptibility as a function of frequency is calculated by using the formulae keeping ω 1 = ω 2 = ω as The susceptibility for the electro-optic effect is obtained for ω 1 at optical frequency, ω 2 0 and it is given by where χ 1 e (ω) and χ 1 i (ω) are linear susceptibilities due to electronic and ionic polarizabilities.N i and N e are the number of electronic and ionic oscillators per unit cube.A, B, C, and D are constants referred to as nonlinear strength factors [49].Sugie and Tada [50] first gave the threedimensional AHO model and it is equivalent to Garrett's [45] one-dimensional approach.They measured the linear electro-optic coefficients of GaAs and CdS and deduced the anharmonic potential coefficients using their model.Ramesh and Srinivasan [51] have also used three-dimensional two coupled anharmonic oscillator model and calculated optical nonlinearities for wide band gap crystals.
The primary shortcoming of the classical model of optical nonlinearities presented here is that this model describes a single resonance frequency for electronic (ω e ) and ionic (ω i ) polarizations to each atom.In contrast, the quantum mechanical theory of nonlinear optics allows each atom to possess many energy eigen-values and hence more than one resonance frequency.Since the present model allows for only one resonance frequency, it cannot properly describe the complete resonance nature of the nonlinear susceptibility such as one and two photon resonances.However, it provides a good description for those cases in which all of the optical frequencies are considerably smaller than the lowest electronic resonance frequency of the material system.As the electronic resonance frequency of the L-threonine crystal lie under this category, this model has been chosen to describe its nonlinear optical properties.

Electron Irradiation on L-Threonine Single Crystals.
Good quality crystals were cut and polished using alumina abrasive to the dimensions of 5×5×1 mm 3 .The samples were irradiated by a 6 MeV electron beam using the Race-Track microtron facility of Pune University, India.Irradiations of the crystals were done at different electron fluences, namely, 1.5×10 14 , 3×10 14 , 6×10 14 , 9×10 14 and 12×10 14 e/cm 2 .After irradiation the samples turn yellowish due to the formation of coulour centres, that is, electronic defects produced in gap along the particle track [52] and the photograph of the irradiated crystals is shown in Figure 14.

Ion Irradiation on L-Threonine Single
Formula weight 119 g/mol Density 1.45 g/cc dimensions of 5 × 5 × 1 mm 3 and polished using alumina paste.Li 3+ ions of 50 MeV from the 15 UD pelletron [53] at Inter University Accelerator Centre (IUAC) New Delhi, India were allowed to incident on the sample mounted inside a 1.5 m diameter scattering chamber.The incident beam current was about 2 particle nano amperes (pna).
The vacuum in the chamber during the experiment was kept at 8 × 10 −7 mbar.The crystals have been irradiated at various ion fluences, namely, 1 × 10 10 , 1 × 10 11 and 1 × 10 12 Li 3+ ions/cm 2 so as to study the fluence dependence on various physiochemical properties.

Crystallographic Details of L-Threonine.
The unit cell dimensions and the space group of L-threonine were obtained using a single crystal X-ray diffractometer equipped with CuKα radiation (λ = 1.54598Å).Lattice parameters were calculated from 25 reflections.The crystal data of Lthreonine is presented in Table 2. Molecular structure of Lthreonine has been projected through ORTEP representation and it is shown in Figure 15.

Characterization Studies.
FTIR spectrum of L-threonine was recorded using Bruker IFS 66 FT-IR spectrometer by KBr pellet method and FT-Raman measurement of the crystal was also performed in the same instrument with the Raman attachment.The transmission range of L-threonine crystal was measured in the range 200-1500 nm using Varian Cary 5E UV-Vis-NIR spectrophotometer.Dielectric measurement was carried out for L-threonine single crystal in the frequency range 1 kHz-1 MHz using a Solartron impedence analyzer.Thermomechanical analysis (TMA) was performed for the crystals in the temperature range 50-130 • C using Mettler TA 3000 TMA analyzer.Thermo gravimetric analysis (TGA) was done using Netzsch STA 409 analyzer in nitrogen atmosphere at a heating rate of 10 • C/min and differential Scanning Calorimetry (DSC) was carried out using Netzsch DSC 204 in nitrogen atmosphere at a heating rate of 10 • C/min.The second order NLO property of L-threonine crystal was tested by Kurtz-powder SHG test using a Nd : YAG laser (1064 nm).

UV-Vis-NIR Spectral Studies.
The UV-Vis-NIR spectrum recorded for L-threonine in the wavelength range 200-1500 nm is represented in Figure 16.
The transparency (∼85%) region lies in the range 250-900 nm and the UV transparency lower cutoff of L-threonine occurs at 220 nm [54].From the spectrum, it has been inferred that there is a minimum absorption in the whole of the visible region and hence L-threonine can be feasible candidate for SHG applications in the visible region.

FTIR and FT-Raman Spectroscopy. FTIR and FT-
Raman spectra of L-threonine were recorded at room temperature in the frequency range 400-4000 cm −1 and 50-3500 cm −1 and it is shown in Figure 17.In the FTIR spectrum the band observed at 489 cm −1 is assigned to torsional mode of NH 3 .The band at 701 cm −1 is assigned to the wagging vibration of CO 2 − structure.Torsion of COH structure is observed around 750 cm −1 .The bending of CO 2 − is observed at 767 cm −1 .Band at 931 cm −1 is associated with CC-stretching vibration.Due to the stretching vibration involving carbon and nitrogen of the amino group there exists a peak at 1040 cm −1 .The rocking of NH 3 + structure is observed at 1184 cm −1 .Bending vibrations of CH group are found in L-threonine with peaks at 1246, 1318, 1346 cm −1 in the spectrum.Bending vibrations of the CH 3 group is assigned to the peak at 1457 cm −1 .The symmetric stretching of CO 2 − structure is found at 1417 cm −1 in the IR spectrum.The symmetric bending of NH 3 + is observed at 1481 cm −1 .The band at 1623 cm −1 may be assigned to the asymmetric stretching CO 2 − .The stretching vibrations also exist in both the NH 3 + and CH structures.The symmetric stretching vibrations of NH 3 + may be assigned to the vibration at 3021 cm −1 .The asymmetric stretching of the NH 3 + is observed at wave number 3157 cm −1 .
In the Raman spectrum, the CH 3 vibrations at 2944 and 2879 cm −1 appear as intense peaks in the higher energy region.The sharp peak at 3024 cm −1 is assigned to hydrogen bonding NH vibrations.The less intense peaks at 1645, 1423, and 1554 cm −1 are assigned to stretching vibrations of CO 2 − and NH bending.The CH 3 bending vibrations produce a characteristic peak at 1454 cm −1 .The intense peaks at 877 and 570 cm −1 are due to C-C-N and CO 2 − rocking respectively.The remaining vibrations in both FTIR and FT-Raman spectra are tabulated in Table 3.The peak positions are in good agreement with earlier reports [55,56].

Thermal Analysis.
The thermal strength of the crystal has been investigated through differential scanning calorimetry in the temperature range −100 • C to 300 • C at a heating rate of 5 • C/min and thermogravimetric analysis in the temperature 30 • C to 500 • C at a heating rate of 5 • C/min are shown in Figures 18(a) and 18(b), respectively.From the DSC curve, it is clear that no anomalous behaviour (phase transition) was observed in both lower and higher temperature region.It is worthwhile to note that some kind of structural instability has been found out around −30 • C to −33 • C (ΔCp 0.01 W/g) in similar neutral amino acid, Lalanine single crystal [57].But such a possibility of second order structural phase transition is ruled out to our case as the presented compound shows a single endothermic peak and a sudden weight loss at 265.2 • C in DSC and TGA correspond to the decomposition temperature of Lthreonine molecule.polarization mechanism of molecular dipoles.After that the dielectric permittivity of the compound remains almost constant in the range 135-180 in the higher temperature range.The dielectric constants were found to be 61 and 175 at 1 MHz for 25 and 110 • C [58].It is important to note that temperature has influenced much on the dielectric behaviour of the crystals at higher frequencies.Similarly the dielectric loss value increases at lower frequencies and this may be due to the fact that the natural frequency of the molecular dipoles matches with frequency of the applied a.c.field and thus causes the dissipation of energy in the form of heat.As expected the dielectric loss decreases at higher frequencies and it was found to have negligible values at all temperatures.
The results have been presented in Figures 19(a) and 19(b), respectively.

Thermomechanical Analysis (TMA).
The thermal expansion data of nonlinear optical crystals are important for the following reason.Upon irradiation with the laser beam, the optical absorption of the NLO material causes thermal gradients that disturb its phase matching properties.
Thermal gradients can also lead to fractures if they are high enough.Hence, the thermomechanical analysis (Dialtometry) was carried in the temperature range 50-130 • C at a heating rate of 5 • C/min in air atmosphere for L-threonine single crystals.Since the title compound crystallizes in an orthorhombic system, the principal expansion coefficient tensor coincides with the crystallographic axes [59] and the lengths l 1 = 3.325 mm, l 2 = 2.542 mm, and l 3 = 2.308 mm have been regarded as c, b, and a-axes of the crystal, respectively.The thermal expansion tensor or strain tensor can be written in the form where ε i j are constants of coefficients of thermal expansion and ΔT is the heating rate In terms of principle axis, the strain tensor can be represented as where α 1 , α 2 , and α 3 are coefficients of thermal expansion along mutually perpendicular c, b, and a axes.So, equation of the strain ellipsoid is given by The representation quadric for thermal expansion of the grown crystal has been projected along a-axis and it is shown in Figure 20.
The mean thermal expansion tensor α i j of L-threonine crystal from Figure 21 is given by which corresponds to c, b, and a-axes and the strain tensor (ε i j ) is given by The bulk expansion coefficient is given by and it was found as 9.096 Figures 21, 22, 23, and 24 show the anisotropy of linear expansion coefficient (α), bulk expansion coefficient (α v ), linear expansion (ΔL), and linear strain as a function of temperature.
From Figure 24, it was found that no negative thermal expansion has been observed in L-threonine single crystal in all mutually perpendicular crystallographic axes.The coefficients of thermal expansions were comparable to that of L-alanine single crystals [60].L-threonine crystal shows large expansion coefficient along c-axis when compared to b and a-axes.The anisotropy in the expansion coefficients can be perceived from the hydrogen bonding in L-threonine.
According to crystal data [61]  crystal.During bulk crystal growth, temperature gradient is necessarily present in the crystal and additional gradients are superposed transiently in slow cooling technique.This may be a one among the reasons why cracks or additive polycrystals sometimes appear during the growth process.
Thermal gradients give rise to the thermal stresses whose magnitude is given by σ = YαΔT, where Y is the elastic modulus.It is known that the fracture temperature is inversely proportional to thermal expansion coefficient [62] and L-threonine crystal also shows small expansion coefficient along the three axes; so the material can absorb more energy while maintaining a smaller extension and makes it difficult to produce crack.
The expansion coefficients of L-threonine were found to be less when compared to many novel NLO crystals.This probably makes the crystal feasibility to be useful in electro optic Pockel's devices.Usually for manufacturing an optical waveguide, the typical length of the crystal wafer is about 1 cm.The thermal expansion coefficients of L-threonine show that temperature variation of 1 • C leads to a length variation of 0.3 μm which is quite lower than the wavelengths of the conventional laser sources.This behaviour will be more important when one considers manufacturing devices such as waveguide and interferometer with L-threonine single crystals [58].A comparative list on the thermal expansion coefficients of various NLO crystals has been given in Table 4.

Microhardness Measurements.
Hardness is an important solid state property and plays a vital role in device fabrication and hence Vicker's microhardness measurement was carried out for L-threonine crystals to assess its mechanical strength.To evaluate the Vicker's hardness number, grown crystals of L-threonine were subjected to static indentation test at room temperature using Leitz Wetzlar hardness tester fitted with Vicker's diamond pyramidal indentor.Several indentations were made on the (1 2 0) face along the (0 0 1) of L-threonine crystal.The Vicker's hardness number was calculated using the expression where H v is the Vicker's hardress number for a given load, P in grams, and "d" is the average diagonal length of the indentation in mm.At lower loads there is an increase in the hardness number which can be attributed to the electrostatic attraction between the Zwitterions present in the molecule.This favours all amino acids for their good mechanical strength [63].Figure 25 shows the dependence of hardness on load for L-threonine crystal.At higher loads the hardness shows a sharp decrease and beyond 50 gm significant crack occurs which may be due to the release of internal stress generated locally by indentation [64].

Kurtz-Perry Powder SHG Test.
The second-order NLO property of the L-threonine crystal was tested using Kurtz-Perry powder SHG measurement and its relative conversion efficiency has been found out as described in the introduction section.An Nd : YAG laser with modulated radiation of 1064 nm was used as the optical source and directed on the powdered sample through a visible blocking filter.The doubling of frequency was confirmed by the emission of green radiation of wavelength 532 nm collected by a monochromator after separating the 1064 nm pump beam with an IR-blocking filter.The SHG efficiency of L-threonine was found to be higher than that of many organic NLO crystals and the values were compared in Table 5.  the material to act as a potential candidate for NLO device applications even in the UV region.

Effect of Isoelectric pH on
Powder SHG Efficiency.Kurtz-Perry powder SHG efficiencies were measured for the polycrystalline samples of various pH values.The average grain sizes of all samples were found to be same.The powder SHG efficiency of L-threonine sample at isoelectric pH was found to be higher than the other two-polycrystalline samples.The powder SHG efficiency of L-threonine polycrystalline sample at the isoelectric pH was found to be 1.2 times that of KDP, and the samples grown at other pH 4.40 and 6.70 have 0.70 and 0.5 times relative to KDP.This is shown in Figure 27.

Effect of pH on Crystal
Quality.In isoelectric pH, the net charge of the dipolar zwitterionic species of Lthreonine CH 3 CH(OH)CHNH 3 + COO − is zero, whereas in the solution containing pH > PI and pH < PI possess two possible ionized species CH 3 CH(OH)CHNH 3 + COOH and CH 3 CH(OH)CHNH 2 COO − .In the former case, that is, pH > PI, the solution contains excess positive charge, and in latter, the solution has net negative charge.Crystals grown at pH = 4.40 and pH = 6.70 show poor optical quality.This is due to the fact that the net positive and negative charge tends to behave as impurities in the crystal lattice, which might be the predominant cause for the crystal opacity and optical deterioration of those crystals.But for a crystal grown at isoelectric conditions, better optical quality crystals have been harvested since the solution strongly limits the contaminations from the ionic species itself [65].The crystalline quality of L-threonine varies with pH and it is further confirmed by High-resolution X-ray diffraction analysis (HRXRD).

Multicrystal X-Ray Diffractometer.
In order to test the crystalline quality of the grown samples at different pH,  the crystals have been subjected to High-resolution X-ray diffraction analysis [66].A multicrystal X-ray diffractometer (MCD), developed at National Physical Laboratory (NPL), New Delhi [67], has been used to record high-resolution diffraction curves (DCs).In this system a fine focus (0.4 × 8 mm; 2 kW Mo) X-ray source energized by a well-stabilized Philips X-ray generator (PW 1743) was employed.The well-collimated and monochromated MoKα 1 beam obtained from the three monochromator Si crystals set in dispersive (+,−,−) configuration has been used as the exploring Xray beam.This arrangement improves the spectral purity (Δλ/λ 10 −5 ) of the MoKα 1 beam.The divergence of the exploring beam in the horizontal plane (plane of diffraction) was estimated to be 3 arc sec.The specimen crystal is aligned in the (+,−,−,+) configuration.Due to dispersive configuration, though the lattice constants of the monochromator crystal(s) and the specimen are different, the unwanted dispersion broadening in the diffraction curve of the specimen crystal is insignificant.The specimen can be rotated about a vertical axis, which is perpendicular to the plane of diffraction, with minimum angular interval of 0.5 arc sec.The diffracted intensity is measured by using a scintillation counter and is mounted with its axis along a radial arm of the turntable.The rocking or diffraction curves were recorded by changing the glancing angle (angle between the incident X-ray beam and the surface of the specimen) around the Bragg diffraction peak position θ B starting from a suitable arbitrary glancing angle (denoted as zero).The detector was kept at the same angular position 2θ B with wide opening for its slit, the so-called ω scan.

HRXRD Analysis.
Before going to record the diffraction curve, the specimen surface was prepared by lapping and polishing and then chemically etched by a nonpreferential chemical etchent mixed with water and acetone in 1 : 2 ratio.Figures 28 and 29 show the high-resolution diffraction curves (DCs) recorded for a typical L-threonine single crystals grown at different pH using (0 2 0) diffracting planes in symmetrical Bragg geometry by employing the multicrystal X-ray diffractometer described above with MoKα 1 radiation.For a crystal grown at pH 6.70, the solid line (convoluted curve) in Figure 18 is well fitted with the experimental points represented by the filled circles.
On deconvolution of the diffraction curve, it is clear that the curve contains two additional peaks, which are 260 and 180 arc sec away from the main peak.These two additional peaks correspond to two internal structural low-angle (tilt angle ≥ 1 arc min but less than a degree) boundaries [68], whose tilt angles (misorientation angle between the two crystalline regions on both sides of the structural grain boundary) are 260 and 180 arc sec from their adjoining regions.The FWHM (full width at half maximum) of the main peak and the low-angle boundaries is, respectively, 140, 40, and 44 arc sec.Though the specimen contains very lowangle boundaries, the relatively low angular spread of around 800 arc sec of the diffraction curve and the low FWHM values show that the crystalline perfection is reasonably good.
But for a crystal grown at isoelectric pH, though the curve (Figure 29) does not contain a single diffraction peak, the tilt angle of the additional satellite peak observed nearby to the main peak is only 54 arc sec from its adjoining region.This is far better from the earlier sample.Moreover the FWHM values of the main peak and the very lowangle boundary are 25 and 85 arc sec, respectively.It is worthwhile to note here that Vijayan et al. [69] have recently reported HRXRD analysis on L-alanine single crystals at various positions of a single crystal.The FWHM value of the main peak for an L-alanine seed crystal was reported as 26 arc sec, whereas in the present case, even for a bulk single crystal grown at isoelectric pH, the FWHM of the main peak is only 25 arc sec.Though the specimen contains a lowangle boundary, the relatively low angular spread of around 300 arc sec of the diffraction curve and the low FWHM values show that the crystalline perfection of the specimen grown at isoelectric pH is much better than that of the crystal grown at pH = 6.70 [70].The segregation of impurities during the growth process could be responsible for the observed very low-angle boundary.It may be mentioned here that such a very low-angle boundary could be detected with well-resolved peak in the diffraction curve only because of the high-resolution of the multicrystal X-ray diffractometer used in the present studies.The influence of such minute defects on the NLO properties is very insignificant.However, a quantitative analysis of such unavoidable defects is of great importance, particularly in case of phase-matching applications.

Deuteration Effects on L-Threonine Single Crystals.
Deuteration of many NLO crystals yielded improved optical properties.In fact deuterated KDP is still considered as one of the best electro-optic modulators with large electro-optic coefficient [71].Deuteration on zinc tris thiourea sulphate (ZTS) [72] and L-arginine phosphate (LAP) [73] showed that electro-optic properties have been improved greatly.The reduction in optical absorption and the increase in transparency window have also been observed for deuterated LAP [74].Following from the above ideas, an attempt has been made to grow the deuterated crystals of L-threonine.

Powder X-Ray Diffraction Analysis.
To test the crystallinity of the samples, powder X-ray diffraction patterns were obtained at room temperature using a Rigaku D/max-A diffractometer fitted with CuKα radiation (λ = 1.54598Å) for both the deuterated and undeuterated L-threonine polycrystalline samples.All of the peaks observed for both deuterated and normal L-threonine were at identical positions.
The estimated lattice parameters a = 13.611Å, b = 7.738 Å, and c = 5.144 Å show that there is no change in the crystal structure of L-threonine on deuteration.But the intensities of the many diffracted peaks were found to be increased on deuterating the compound.The decrease in the full-width half-maximum (FWHM) values of all peaks and the increased intensities confirm that crystalline quality  of the sample has been much improved on deuteration (Figure 30).Two thetas and their corresponding Miller planes are listed in Table 6.

Fourier Transform Infrared Spectroscopy (FTIR)
. FTIR spectra of deuterated and normal L-threonine were recorded using a BRUKER IFS 66 FTIR spectrophotometer in the range 400-4000 cm −1 by KBr pellet technique.The deuterated spectrum shown at Figure 31 at different recrystallization stages shows that degree of deuteration increases on multiple recrystallization with D 2 O.In the figure, the spectra DLT-1 and DLT-2 represent the deuterated salts of L-threonine after first and second recrystallizations.Further recrystallization yields a similar spectra showing that the NH and OH site protons are completely deuterated.The peak positions and their assignments are listed in Table 7.The medium peaks at 550 and 667 cm −1 in DLT-2 are assigned to out-of-plane bending vibrations of O-D.These peaks were not observed in DLT-1 and normal L-threonine.The peak at 933 cm −1 represents rocking vibrations of ND 3 + .The strong peaks at 1102, 1157, and 1182 cm −1 correspond to symmetric and degenerate deformation vibrations of ND 3 + .These peaks were also observed in DLT-1 but with the less intensity.
The characteristic peaks observed at 2341 and 2250 cm −1 are due to the stretching vibrations of O-D.These values are in good agreement with the earlier report [75].A shallow peak at 2158 cm −1 is due to the stretching of ND + .In DLT-1, the stretching vibrations of O-D were shifted towards the high-frequency regions at 2349 and 2223 cm −1 .The characteristic vibrations of carboxyl group COO − (rock) and COO − (wagging) produce peaks at 560 and 707 cm −1 .These peaks have been shifted to 535 and 701 cm −1 for deuterated L-threonine [76].This is in accordance with the earlier work cited in [77].

Thermal Analysis.
The thermal strength of the normal and deuterated crystals has been determined by differential scanning calorimetry (DSC) using NETZSCH-Geratebau GmbH thermal analyzer in the temperature range 30-400 • C in nitrogen atmosphere.Same heating rate of 5 • C/minute was applied to both of the samples.A single endothermic peak is observed at 268.1 • C for deuterated L-threonine, which actually gives the decomposition temperature of the grown crystal (Figure 32).This is slightly higher than that of pure L-threonine crystals, which decomposes at 262 • C.

Dielectric Measurements.
Dielectric studies were performed on deuterated L-threonine single crystal at room temperature in the frequency range 1 KHz-1 MHz.The sample has been coated with conductive silver paint for metallic contacts.A sinusoidal a.c.voltage was applied to the sample through the silver electrodes for various frequencies.Capacitance developed by the crystal was recorded and the dielectric constant has been calculated using the area and thickness of the sample.
At lower frequencies, dielectric constant initially increases due to the space-charge polarization of molecular dipoles.But for higher frequencies, it is almost constant up to the maximum frequency studied.The dielectric constant   of deuterated L-threonine was found to be 102 at 1 MHz whereas the undeuterated crystal shows 66 at the same frequency.Dielectric loss calculated at various frequencies reveals that power loss of the sample on applying electrical energy was found to be negligible.The dielectric constant and dielectric loss at various frequencies are shown in Figures 33 and 34, respectively.The dielectric constant of deuterated L-threonine is greater than that of commonly used electrooptic (EO) modulators like potassium di-deuterated phosphate (D-KDP) and potassium di-deuterated arsenate (D-KDA) [78,79].Since the electro-optic coefficient is directly proportional to the dielectric constant of the material [80], the increase in the dielectric constant of deuterated  L-threonine could enhance its electro-optic coefficient and further should have a lower half-wave retardation voltage [76].

Optical Transmittance Studies.
UV-Vis-NIR spectrum has been recorded for both deuterated and normal Lthreonine single crystals using a Varian cary 5E UV-Vis-NIR spectrophotometer in the wavelength range 200-1200 nm.
The lower UV cutoff wavelength of both deuterated and undeuterated samples remains invariant.The absorption range in the whole spectral range studied is found to be identical for both of the compounds.Hence the deuteration has not altered the transmission range of the compound.
Advances in Materials Science and Engineering 3.4.6.Kurtz-Perry Powder SHG Test.Kurtz-Perry powder SHG efficiency of the crystal has been measured for the deuterated compound.The average grain sizes were found to be similar in both pure and deuterated L-threonine polycrystalline samples.The output intensity of the deuterated crystal was found to be 0.91 times than that of KDP.The decrease in the SHG output intensity for the title crystal when compared to normal L-threonine polycrystalline samples (1.2 KDP) may be due to the exchange of deuterium in NH and OH sites that causes less perturbation on the incident highpower laser beam.The shift in the stretching frequencies of N-D• • • O and O-D• • • O as well as the carboxylate groups towards the lower-energy side also accounts for the decrease in the second-order nonlinear polarizability [81] of the deuterated crystal.

Second Harmonic Generation (SHG).
In literature, no reports are available on electro-optic and SHG susceptibility measurements on L-threonine, so an attempt in evaluating the electro-optic and second-order nonlinear parameters using three-dimensional anharmonic oscillator model would be very useful for the experimental determination of above optical entities.Since the second harmonic wavelengths of many laser sources like Ar, GaAs, He-Ne, and Nd : YAG lie within the transparent range (200-800 nm) of L-threonine, various NLO coefficients have been determined for different wavelengths within 488-1064 nm.
In order to determine the electro-optic and SHG susceptibility, electronic, and ionic contributions to the linear susceptibility have to be found out.They are expressed as χ (1)  e (ω) = N 2 e e 2 e m e ε o ω 2 e − ω 2 , Parameters required to calculate the linear susceptibility are given below.
Input Data.With the help of the input data, χ (1)  e (ω) for the energy of photons lying in the optical frequency range has been computed.As the ionic contribution χ i (ω) to SHG is almost negligible in comparison to χ (1)  e (ω) for the frequency range under study, χ 2 (2ω,ω,ω) and χ 2 (ω,ω,0) mainly depend on χ 2 e (ω).Therefore, the effects of A, B and C parameters in (19) and ( 20) have been ignored.To calculate the pure electronic contribution to NLO susceptibilities, parameter "D" has been evaluated using the value of d i j coefficient reported by Singh et al. [82] for D-threonine at 1064 nm.The value of D was found as 9.2062 × 10 8 kg/m•sec 2 .For a crystal class of P2 1 2 1 2 1 , the only nonzero elements contributing for SHG are d 14 , d 25 , and d 36 [83].Using Kleinmann conjuncture [84], it can be written as SHG coefficients d 14 = d 25 = d 36 , and hence χ 2 (2ω,ω,ω) could be found using the relation [85]

Electron density
Using the parameter D and χ (1)  e (ω), SHG susceptibilities of L-threonine have been found for various wavelengths from (19).The dispersions of linear and nonlinear (SHG) susceptibility of L-threonine with wavelength are shown in Figure 35.The decrease in the linear and SHG susceptibility with increase in wavelength appears to be similar to that in the study made on CdTe [48].
In the SHG experiment, the second harmonic light moves through the crystal in the same direction of the incident beam but with a slower velocity because of the higher index of refraction at the shorter wavelengths.Eventually, the second harmonic component reaches a point further along in the crystal where new second harmonic light is being generated, which is exactly 180 • out of phase to SH ray that has generated earlier, thus causing destructive interference and the SHG drops to zero.So, whenever the pathlength equals integral number of interference distances, SHG intensity becomes zero.From the above reason, it is evident that a crystal need not be thicker than one-half of SHG interference distance called "coherence length" which is in the order of microns depending on the wavelength of the fundamental beam.From this model, coherence length associated with the SHG is found out by the expression  where λ is the wavelength of the fundamental wave in nm and n ω , n 2ω are refractive index at fundamental and second harmonic wavelengths.n ω and n 2ω values of L-threonine were found out with the help of the following equations.
Since n 2 (ω) ε r at optical frequencies, , It has been found that the coherence lengths calculated from the above equation were in the order of microns.Figure 36 shows that coherence length increases not only with the crystal length but also with the wavelengths  used.Coherence length (l c ) of L-threonine crystal was also calculated experimentally [82] and reported as few microns for 1064 nm.The discrepancy between the experimental values and the present model may be due to the fact that we have completely ignored the contribution χ (1)  i (ω), a complex quantity which in turn affects the refractive index of the crystal.
One more parameter, which characterizes the SHG property of materials, is figure of merit of SHG.This can be found out using the equation This quantity indicates how efficiently the fundamental optical beam is converted to a beam of frequency 2ω.As we have used Kleinmann condition, d i j values was calculated by using (29) for various wavelengths.The dispersion of figure of merit of SHG with wavelength is shown in Figure 36 [86].

Linear
Electro-Optic Susceptibilities.Following Sharma et al. [49], electro-optic susceptibility of L-threonine has been found using the expression given in (20).The parameter D calculated earlier was used here to obtain χ 2 e (ω, ω, 0).The dispersion of EO susceptibility with wavelength is shown in Figure 37. Similarly electro-optic coefficient (r i j ) was also calculated by the following relation: Here the negative sign indicates the pure electronic contribution to EO coefficient.Efficient modulators can be constructed based on the value of Pockel's coefficient (r i j ) usually found either through longitudinal mode or by transverse mode.As r i j is independent of the crystal dimensions in the longitudinal EO Advances in Materials Science and Engineering  modulator, electronic part of "r" coefficient was calculated in the above mode.L-threonine is a highly c-axis-oriented transparent crystal having (1 2 0) as a prominent plane.
Applying the electric field along the c-axis and propagating the beam in the same direction actually singles out r 63 element of the (2 2 2) EO tensor.As the Kleinmann symmetry unifies all possible nonvanishing elements of P2 1 2 1 2 1 (r 41 = r 52 = r 63 ) space group, generality is not lost in finding the r 63 element alone.The ordinary index of refraction (n o ) of L-threonine along z-axis (crystallographic c-axis) for various wavelengths has been taken from [28].
The figure of merit of EO modulation n 3 o r 63 has also been determined for L-threonine crystal.Here it has been assumed as n o n e = n [87].
Variation of figure of merit of EO modulation with wavelength is presented in Figure 38.In all of the cases, linear EO susceptibility, figure of merit of EO modulation, and the electro-optic coefficient were found to be increasing with the decrease in the frequency.This is in contradiction to the SHG susceptibility where there is a linear relationship.Usually Pockel's effect may also be observed at relatively low frequencies (up to gigahertz) so that slower nonlinear polarization mechanism such as ionic polarization can effectively contribute to the "r" coefficient.
Since we have found out the anharmonic potential coefficient "D" alone, r 63 values presented in Figure 37 are purely electronic in nature.r ionic could be calculated using nonlinear strength factors A, B & C in (20).Transverse optic frequency (ω i ) of L-threonine in (28) may be computed from its optical absorption spectrum in the gigahertz range.So, effective EO coefficient is given by Just as linear polarizations are frequency dependent, so are the nonlinear polarizabilities.Thus "r" co-efficient mainly characterizes the low-frequency electro-optic nonlinearity and the "d" co-efficient characterizes the optical frequency electronic nonlinearity.
However it is most surprising that most organic materials with almost exclusively electronic non-linear optical polarization have similar efficiencies for SHG as well as for linear EO effect [88].From this model electro-optic coefficient of L-threonine was found to be 0.05-0.25 pm/v for the wavelength range under study [83] and the values are comparable to the experimental r 63 value 0.2-0.3pm/v at 633 & 532 nm determined for L-alanine amino acid single crystals [63].The various second-order NLO parameters for different wavelengths have been tabulated in Table 8.

Miller Delta. Miller delta [Δ(ω)
] is the empirical relation between the linear and nonlinear susceptibilities.
The significance of this relation is that the quantity is constant to within a factor of 4 for the materials investigated by Miller [89].The importance of this quantity is that it may sometimes be used to estimate roughly the non-linear susceptibility of unknown effect in a particular medium.It was observed that both classical and quantum mechanical arguments lead to same observed order of magnitude of this quantity [90].For the present study, Miller delta was calculated for the above two nonlinear effects.The values for both SHG and EO susceptibilities were found to be within the factor of 4.

Electron Irradiation Effects on L-Threonine Single Crystals.
Amino acid crystals constitute important model systems for the physical properties of more complex macromolecules such as proteins, metalloproteins, and nucleic acids.Besides this biological significance, one of the compounds L-alanine a neutral amino acid has proven to be a good candidate for irradiation-dosimetric applications [91,92].Electron irradiation-induced defects on amino acids show that there is no substantial decay of free radicals over a period of many years at room temperature [93].
The chemical reaction initiated by the interaction between an energetic ion or particle and a solid matter may be divided into three main groups according to the following physical process.
(i) Reactions between a projectile and target molecules giving the products, which incorporate the projectile (mass deposit effects).Normally when the projectile slows down to several eV, they will react with the target molecules [94].
(ii) Reactions induced by the energy deposition electronically in a solid during the slowing down of the projectile giving products, which do not contain the projectile (energy deposit effects) [95].
(iii) Reaction induced by elastic nuclear collisions or momentum transfers during the slowing down of the projectile giving products, which do not contain the projectile (momentum transfer effects) [96].In particle irradiation effects using electrons, protons, and neutrons, mostly, energy deposition and momentum transfer occurs very often, as their penetrating power is very high.
Irradiation of materials with high-energy electron bombardment is a proven method of production of Frenkel defects (vacancies and interstitials) without displacement cascades [97].Controlled production of point defects in materials has been one of the earlier applications of energetic electron beams in the field of radiation damage.It has also been observed that electron irradiation is better than other methods of production of fast switching diodes through manipulative control of defect properties [98].High-energy electrons can cause atoms to be displaced from normal lattice positions by the transfer of momentum [99].Recently Ishwar Bhat et al. [100,101] have reported electron irradiation effects on nonlinear optical barium strontium borate single crystals.They have observed the changes in the refractive index and dielectric constant of the crystal.
Presently, electron irradiation effects on L-threonine single crystal have been studied.The irradiation-induced defects can be quantified with the help of tools like electron paramagnetic resonance (EPR), micro-Raman spectroscopy, thermomechanical (TMA) and thermal analyses.The surface defects were also studied by atomic force microscopy (AFM).Post-irradiation measurements like UV-Vis-NIR, Dielectric and powder SHG have also been performed for the samples.
When electrons of definite energy pass through a solid, their energy is decreased.This energy loss is due to the inelastic collisions of the electrons with atomic electrons by which the atoms of the solid get excited or ionized and due to the emission of bremsstrahlung and this leads to deposition of electronic energy to the target matter.There is also a possibility for the incident electrons to pass through the field of atomic nuclei.Since the mass of the nucleus is very much greater than that of the electron, the collision of electrons with the target nuclei alters the direction of the electrons and causes nuclear energy loss.The electronic and nuclear energy losses suffered by the L-threonine molecule by the incident of 6 MeV electrons were calculated as (dE/dX) E = 1.84 × 10 6 eV•cm 2 /g and (dE/dX) N = 8.98 × 10 4 eV•cm 2 /g using ESTAR program [102].The range of the 6 MeV electrons was also calculated as 2.2 cm, which is too greater than the thickness of the samples (few millimeters) used for the irradiation measurements.
The mean excitation energy of the molecular crystal was also estimated as 72.5 eV.Hence, electrons with energies greater than a few MeV induce substantial permanent damage via displacement of the lattice atoms that results in a large number of lattice vacancies.The variation of electronic and nuclear stopping powers with electron energies suffered by the molecular crystal has been shown in Figure 39.

Material Characterization.
The irradiated crystals were subjected to different measurements like electron paramagnetic resonance and micro-Raman analysis using Varian EPR − E112 × band (9 GHz) spectrometer and Renishaw Invia Raman spectrophotometer by employing a 10 mW Argon ion laser at room temperature.Thermomechanical measurements of the irradiated crystals were carried out using Mettler TA 3000 TMA analyzer.Surface defects created by irradiation were studied by tapping mode atomic microscopy using a multimode SPM with nanoScope IIIa controller acquired from Digital/Veeco instruments Inc.Thermal stability of the irradiated crystal has also been studied by differential scanning calorimetry using NETZSCH Geratebau GmbH Thermal analyzer.
UV-Vis-NIR spectra of unirradiated and irradiated Lthreonine were recorded using Varian Cary 5E spectrophotometer in the wavelength range 200-1200 nm.Dielectric and simultaneous TGA-DTA thermal measurements were performed using a Solartron impedance analyzer and NETZSCH-Geratebau GmbH thermal analyzer.Kurtz-Perry powder SHG test was also studied for the polycrystalline samples of uniform sizes of unirradiated and irradiated Lthreonine.

Electron Paramagnetic Resonance. The crystal structure of the compound is stabilized by a three-dimensional network of N-H
The stable free radical produced by electron irradiation is due to the breaking C-NH 3 bond leading to an unpaired electron spatially extending through CH 3 and CH groups.The deaminated free radicals (CH 3 CH (OH) CH COOH) produced in the irradiated samples have a good EPR signal with a good response to the absorbed dose delivered to the samples.Formation of the deaminated radical due to the effect of electron irradiation is shown in Figure 40.EPR spectrum of polycrystalline L-threonine at room temperature (298 K) is shown in Figure 41.
Diphenyl picryl hydrazyl (DPPH) was used as standard field marker.The spectrum composed of six lines and it is due to the coupling of an unpaired electron located at the C-2 carbon radical site with 3 protons of CH 3 group and Advances in Materials Science and Engineering two protons of CH group through hyperfine interaction.
As the OH proton attached to C-3 carbon atom is not an immediate neighbourhood of the radical site, an EPR signal due to this proton is absent in the spectrum.Winkler et al. [103] reported that the integrated intensity of the room temperature EPR signals in irradiated L-alanine is used as a precise and stable dosimeter.Since the radical concentration of L-threonine is more than the L-alanine crystal, it can be considered as a better candidate for the radiation dosimetric applications.From EPR spectra, the g factor of the free radical formed by the electron irradiation was found to be 2.0027.

Micro-Raman Analysis.
Micro-Raman spectra were recorded for unirradiated and irradiated single crystals of L-Threonine at various fluences.The presence of four molecules per unit cell gives four additional lattice modes.
The entire spectra can be divided into two types of modes, (i) intramolecular vibrations (stretching modes) and (ii) intermolecular vibrations (lattice modes).The modes around 2900 cm −1 and 2200 cm −1 shown in Figure 42 are intermolecular stretching vibrations of CH 3 and CH groups.The modes in the range 100-400 cm −1 are attributed to the lattice vibrations.A peak at 3180 cm −1 in the unirradiated spectrum corresponds to NH vibrations of NH 3 + .The absence of this peak in all irradiated specimen shows the isolation of ammonia molecule after irradiation.At all fluences, both lattice and stretching modes show enhanced intensities when compared with similar modes in unirradiated spectrum of L-threonine and this agrees well with the earlier reports on L-alanine single crystals [103].

Atomic Force Microscopy (AFM)
. AFM topographical images of L-threonine single crystals irradiated by 6 MeV electrons with higher and lower fluences are presented.The penetration of the swift electrons at different fluences in Lthreonine produces raised rims of height 1.62 and 3.86 nm for the fluences 1.5 × 10 14 e/cm 2 and 1.2 × 10 15 e/cm 2 , respectively.These raised rims that appear behind on each particle track were oriented precisely in the direction of the azimuth along which the incident electrons penetrate the surface.This could be seen in the tapping mode AFM pattern shown in Figures 43 and 44.Occasionally bumbs were also observed on the surface of crystals.Roughness of the surface increases at lower fluence and decreases for the higher fluence studied.Roughness values were found to be 47.57and 12.42 nm for fluences 1.5 × 10 14 and 1.2 × 10 15 e/cm 2 , whereas the unirradiated surface possesses a roughness of 7.34 nm [52].The decrease in the roughness of the crystal at a higher fluence is due to sputtering of molecules at the impact sites.Kopniczky et al. [104] reported that when an ion or charged particle penetrates into the bulk, the craters formation would cease but a volume force can still give rise to the plastic deformation.Accordingly, we could not observe any craters formed after irradiation, instead raised tails and bulges are found on the surface of the crystal clearly indicating radiation-induced sputtering as well as amorphization on its surface.The dimensions of the hillocks formed after irradiation are also shown in the AFM image.
3.6.5.Thermomechanical Analysis.Thermomechanical analysis (TMA) was carried out for both unirradiated and irradiated (1.2 × 10 15 e/cm 2 ) crystals of L-threonine in the temperature range 50-130 • C at a heating rate of 5 • C/minute in air atmosphere.The title compound crystallizes in an orthorhombic system and hence the principal expansion     studied.This can be explained through pressure pulse model [106,107].When high-energy particles incidents happen normally on the solid state matter, the electronic energy deposited by an incident electron relaxes depositing kinetic energy into the nuclear system.This may occur through coulomb explosion along the particle track.Alternatively, secondary electrons emitted from the tracks may excite the surrounding molecules and thus cause localized expansion of the molecular crystal.
Mean values of linear (α) and bulk expansion coefficient (α v ) of L-threonine before and after irradiation are shown in Table 9.

Differential Scanning Calorimetry (DSC).
The thermal strength of the irradiated crystal has been investigated through DSC measurements in the temperature range 30-400 • C at a heating rate of 5 • C/minute in nitrogen atmosphere.From Figure 49(a), it is clear that a single endothermic peak observed at 254. the decomposition temperature of the crystal.But for an unirradiated crystal, this endothermic thermal event extends to a higher temperature of 265.2 • C. The decrease in the thermal stability of the irradiated crystal may be attributed to the breaking of C-N bond and subsequent formation of the free radicals.
Simultaneous thermogravimetric and differential thermal analysis (TGA-DTA) was carried out for irradiated single crystals of L-threonine in the temperature range 30-700 • C at a heating rate 5 • C/minute in nitrogen atmosphere.A sharp weight loss and an endothermic thermal event at 253.4 • C in TGA and DTA shown in Figure 49(b) correspond to the decomposition temperature of the irradiated L-threonine single crystals.
3.6.7.UV-Vis-NIR Spectral Measurements.UV-Vis-NIR spectra of unirradiated and irradiated L-threonine at various electron fluences of 3 × 10 14 , 6 × 10 14 , and 9 × 10 14 e/cm 2 are shown in Figure 50.The thicknesses of all the samples used were of the same dimensions.It was found that electron irradiation of L-threonine leads to a shift in the optical absorption edge indicating a lowering of energy gap.Absorption edges could not be seen for the unirradiated L-threonine and in irradiated crystals at lower fluence of 3 × 10 14 e/cm 2 as they lie in the range 190-200 nm.For higher electron fluences, λ max shifts well and the decrease in energy gap might be due to the increase in the conductivity because of the following reasons.Formation of •CH and deaminated radicals (•NH 2 ) produced after irradiation were trapped in the crystal lattice and also the concentration of free electron radicals is proportional to radiation dose absorbed by the sample [103] as in the case of L-alanine  single crystals [108].The increase in the conductivity lowers the energy gap and hence shifts the absorption edge towards the higher wavelength side.The results are in line with the reported works on similar studies [108][109][110].
3.6.8.Dielectric Studies.Dielectric permittivity (ε r ) and dielectric loss (tan δ) measurements were carried out in the frequency range 1 kHz-1 MHz at room temperature for unirradiated and irradiated single crystals of L-threonine for the fluences of 1.5 × 10 14 , 3 × 10 14 , and 6 × 10 14 e/cm 2 .It was found that dielectric constant of the irradiated crystal decreases with increase in the electron fluence.The dielectric constant was measured as 64 for the sample irradiated at of 6 × 10 14 [111] whereas the unirradiated crystal shows a relative permittivity as 103 for the same frequency of 0.1 MHz.As expected, the dielectric loss decreases at all electron fluences and it was found to have negligible values for the frequency range studied.As reported in UV studies, on irradiation there is an increase in the concentration of the free radicals and that leads to an increase in electrical conductivity of the crystal and hence a decrease in dielectric constant on increasing the electron fluence is observed.The increase in the conductivity of polypropylene on 2 MeV electron irradiation [109] also supports this reported data.The results have been shown in Figures 51 and 52.
3.6.9.Kurtz-Perry Powder SHG Studies.Powder SHG efficiencies of both unirradiated and irradiated polycrystalline samples of L-threonine were measured using a laser source of wavelength 1064 nm with a pulse width of 10 ns at a repetition rate of 10 Hz.The average particle sizes of all  samples were found to be similar.It was found that no appreciable change in the SHG conversion efficiency was observed at all fluences studied.However, a slight increase in the SHG output was noticed at the higher fluence studied.

Lithium Ion Irradiation Effects on L-Threonine Single
Crystals.Ion beam analysis techniques are very attractive for a range of structural and compositional characterization of solids [112].However, these techniques typically use MeV light ions, which often produce understandable lattice disorder in insulators.Thus, for a successful application of ion beam analysis techniques for studies of impurities and defects in solids, it is crucial to ascertain the lattice disorder produced in materials by ion bombardment.Ion irradiation studies in solids are also important for better understanding of fundamental defect-related properties.Ion beam defect processes in crystals are currently limited to the investigations on KDP, barium strontium borate and methyl hydroxybenzoate [113][114][115][116][117]. Sreeramana Aithal et al. [118] have reported that 100 MeV Ag 14+ ion irradiation on para-hydroy acetobenzene enhances its dielectric constant by 13 times and its SHG efficiency was also marginally affected.KeV ion beam irradiation effects of L-alanine [119] and L-threonine [120] using N + and He + ions have already been studied.In both cases, ion decomposition produces molecular emissions of CO 2 , H 2 and NH 3 .Keeping in view of various reports, swift ion irradiation effects of L-threonine single crystals and the influence on its physical properties have been concentrated.Centre (IUAC) New Delhi, India were allowed to incident on the sample mounted inside a 1.5 m diameter scattering chamber.The incident beam current was about 2 particle nano amperes (pna).The vacuum in the chamber during the experiment was kept at 8 × 10 −7 mbar.The crystals have been irradiated at various ion fluences namely 1×10 10 , 1×10 11 and 1 × 10 12 Li 3+ ions/cm 2 so as to study the fluence dependence on various physiochemical properties.
Swift heavy ions (SHI) produce intense radiation damage in all materials in which they traverse.The interaction between SHI and bulk materials lead to specific effects due to huge amounts of electronic energy (dE/dx) E being deposited on the target electrons by incident ions.In contrast projectile/target nuclei collision results in so called nuclear  energy transfer (dE/dx) N which plays a lesser role for energetic heavy ions.These effects have been studied for a long time in the case of insulators [121,122].Both thermal spike [123] and pressure pulse/shock wave [106] models have been used for most materials to determine the sensitivity of materials to ion irradiations.Thermal spike model also predicts the threshold energy value of electronic energy loss of the ions to produce latent tracks in the materials.The latent tracks are supposed to be formed after rapid quenching of a cylindrical zone that has been melted along the ion path [124].In heavily ionized track, due to Couloumb explosion secondary electrons emitted from the track excite the surrounding molecules showing a localized expansion in a solid and is projected in Figure 53.The electronic and nuclear energy losses suffered by the Li 3+ ion in L-threonine crystals were calculated from transport of ion in matter (TRIM) program [125].The projected range of 50 Mev Li + ions in L-Threonine crystal was determined as 411 μm.Electronic and nuclear stopping power of Li + ions in the title crystals are given by (dE/dx) E = 6.98 eV/ Å and (dE/dx) N = 3.63 × 10 −3 eV/ Å. Variation of electronic and nuclear energy losses of Li + ion for various incident energies is shown in Figure 54.
Characterization Studies.Ion irradiation produces modification in bulk, localized and surface properties of the materials depending upon the irradiation dose, energy and atomic number of the ion beam and also properties of the target materials.The irradiated biomolecules of L-threonine using Li 3+ ion at various ion fluencies were subjected to various tools like X-ray diffraction (Bragg Brentano mode), UV-Vis-NIR Spectroscopy, Dielectric studies, Atomic Force Microscopy and Kurtz-Perry powder SHG measurements.Surface changes on irradiating the samples at various fluences were studied using a Bruker AXS D8 Advance X-ray diffractometer with CuKα radiation.Transmittance spectrum of both unirradiated and irradiated crystals were recorded using Hitachi V-3300 UV-Vis-NIR spectrophotometer in the wavelength range 190-1100 nm.Dielectric and AFM measurements on irradiated samples have been performed using solatron impedence analyser and multimode SPM nanoscope IIIa controller of Digital/Vecco instruments Inc.Powder SHG efficiencies for the irradiated samples of L-threonine were also measured for all ion fluences studied.

Ion-Induced Changes on the Topography of L-Threonine
Single Crystals X-Ray Diffractometry.X-ray diffraction patterns of Pristine (unirradiated) and irradiated samples of Lthreonine were recorded in Bragg Brentano (BB) geometry where both the X-ray source and the detector move at equal angles.The scan speed was set at 0.02 • /minute and a crystalline sample was also rotated at 4 rpm simultaneously.Figure 55 shows the X-ray diffractogram of L-threonine crystals irradiated at various Li 3+ ion fluences.
As ion fluence increases the degree of crystallinity of the irradiated samples decreases.For an ion fluence of 1 × 10 12 ions/cm 2 , the surface of the crystal has lost its crystallinity completely and it shows radiation induced amorphization on the surface of the sample.The use BB mode in X-ray diffraction is more advantageous for single crystals as it varies the X-ray incidence angle and in the present case the angle of incidence varied upto 40 • .From the density and absorption coefficient (α) of L-threonine the Xray penetration depths were calculated at different incident angles using X-ray depth evaluation program [126] and it is shown in Figure 56.
For an incidence angle of 40 • , X-ray penetration depth was found to possess a maximum value of 843 μm.Though it roughly estimates the amorphization depth of L-threonine irradiated at the higher fluence, TRIM calculation showed that the maximum projected range of Li 3+ ion for the given energy was only around 411 μm.From these observations, it has been perceived that amorphization depth exceeds the range (R) of the ions and it was approximately twice that of R value.In this range electronic stopping is the most significant process and a large amount of energy would have been transferred into a relatively small volume causing an electronic avalanche and subsequently extends the damage region in the crystals.Deposition of considerable amount of sputtered material on the surface of sample [127] also accounts for the increased thickness of the amorphized layer.Samples bombarded at lower fluence 1 × 10 10 ions/cm 2 show raised rims of height 0.85 nm and width 129.29 nm.For an ion fluence 1 × 10 11 ions/cm 2 , craters were also formed with a depth of 0.5 nm and a width 169 nm.Evaporation from the surface on a molecule-by-molecule basis could yield a crater.According to pressure pulse model, [106] if the impulse to a volume of material exceeds a critical value, then volume of material will get sputtered as a hemispherical sputtered volume has been predicated [128].At the extremeties of the crater, the surface material does not receive enough momentum and highly energized underlying material attempts to eject.So a partial plastic deformation in the form of bulge is induced on either side of a crater.At a higher fluence of 1 × 10 12 ions/cm 2 , materials would be receiving more than critical impulse and can easily escape leading to sputtering.The locations where the ion track is deeper, material receiving the critical impulse is stopped by the stationary material above resulting an observation of tail like permanent plastic deformation along the ion track which indicates that a hydrodynamic pressure pulse occurs in response to the electronically deposited energy.Similar observation has also been reported for L-valine crystals    [104,129].The mean roughness values of the irradiated samples were 11.27, 45.72 and 18.66 nm for the ion fluences 10 10 , 10 11 , and 10 12 ions/cm 2 whereas the pristine sample has a roughness of 7.3 nm [130].The decrease in the mean roughness at the higher fluence is mainly due to sputtering of substantial amount of material per incident of MeV ion.The decrease in dielectric constant may be due to the formation of small fragments including single atoms.Some of these H, OH, CH and CO 2 , and so forth, are volatile and readily degass from the sample and simultaneous formation of very large number of free radicals allows the movement of unpaired electrons within the molecular dipoles and hence increases the electrical conductivity of the sample.At higher fluence of 1 × 10 12 ions/cm 2 , the dielectric constant shoots up suddenly due to amorphization of the sample surface and it attains a steady state value of 191 for the entire frequency range studied.The dielectric loss values were found to be decreasing with the increase in ion fluences studied.It is well known that electro-optic coefficient (r i j ) of any NLO molecular crystal depends on its dielectric constant and hence the irradiated crystals of L-threonine at a desired fluence can modulate its electro-optic properties.Thus ion irradiation on second order NLO materials can easily tune their r i j values.for the irradiated crystals of L-threonine (1 × 10 11 ions/cm 2 ) in the temperature range 30-600 • C at a heating rate of 5 • C/minute in nitrogen atmosphere is shown in Figure 60 A sudden weight loss and an endothermic thermal event at 278.6 • C in TGA and DTA shows the decomposition temperature of irradiated L-threonine, while for an unirradiated crystal, the decomposition was reported as 265.2 • .The increase in thermal stability is due to decrease in the degree of crystallinity of the irradiated samples.

Kurtz-Perry
Powder SHG Measurement.The second harmonic generation conversion efficiency of both unirradiated and irradiated polycrystalline samples of L-threonine were measured relative to KDP.The instrument used was Nd : YAG laser of wavelength 1064 nm with pulse width of 10 ns with a repetition rate of 10 Hz.The average grain size of all the unirradiated and irradiated samples with different ion fluence was found to be same.At lower ion fluences, powder SHG efficiency of L-threonine shows no appreciable variation but for higher fluences (10 11 and 10 12 ions/cm 2 ), SHG output drastically reduced to half of its original value.This may be due to the fact that higher dose of irradiation has considerably affected the second-order nonlinearity of the molecular crystal.

Conclusions
(1) The growth parameters governing the crystal growth process such as free energy formation, metastable zonewidth, induction period, and supersaturation of the solutions were found out experimentally.Bulk single crystals of L-threonine have been harvested under optimized growth conditions.
(2) The UV-Vis-NIR spectrum of the L-threonine crystal shows that the crystal is transparent even upto near IR region.The presence of various functional groups and the zwitterionic nature of the molecule were confirmed by FT-IR and FT-Raman spectra.TGA and DSC measurements show that the crystal decomposes at 262 • C. DSC also shows that no structural phase transition was observed in the Low-temperature region.Dielectric studies on the crystalline samples at various temperatures show that the temperature has influenced much on the dielectric property of the material.The dielectric constant was found to be 61 and 175 at 1 MHz for 25 and 110 • C. Dielectric Linear and the second order nonlinear SHG susceptibilities were found to decrease with the increase in wavelength.It was also found that Pockel's coefficient (r 63 ) of L-threonine was comparable to Lalanine single crystals.It has also been demonstrated that the electronic contribution to the anharmonicity is itself sufficient to explain the NLO properties of Lthreonine.(6) Single crystals of L-threonine irradiated by highenergy turn yellowish due to the presence of electronic defects in the gap (colour centres).The formation of an unpaired electron at C-2 carbon atom through C-N bond breaking and the movement of the free electrons along the radical sites have been confirmed from electron paramagnetic resonance studies.EPR measurements also show that the stable free radicals produced after irradiation can be useful to act as an alternative candidate for L-alanine for radiation dosimetry applications.
From microraman studies, the absence of asymmetric N-H stretching vibrations around 3180 cm −1 in all samples irradiated at different fluences confirms the isolation of ammonia molecule after irradiation.Both intramolecular and intermolecular stretching vibrations of L-threonine show enhanced intensities on electron irradiation and indicate as local probes for the presence of localized electrons in different parts of the molecules.Atomic force microscopy has provided a new and unique view of intersection of an electron track with a surface and has elucidated the response of a material to a dense microscopic track of deposited energy.Thermomechanical measurements show that both linear and bulk expansion coefficients of irradiated L-threonine possesses higher values when compared to  unirradiated crystals at all temperatures.Irradiation induced changes in thermal expansion coefficients may be attributed to the displacement damage produced by the higher nuclear energy loss.From DSC and TGA-DTA analyses, it has been found that electron irradiation reduces the thermal stability of the L-threonine single crystals.
UV-Vis-NIR spectra of electron irradiated crystals show that the optical band gap energy decreases with increase in the fluence.Dielectric permittivity of irradiated L-threonine was found to be decreased on increasing the electron fluence.This has been attributed to increase in conductivity of the

Figure 1 :
Figure 1: Phase diagram for a binary system of solid-liquid.

Figure 2 :Figure 3 :
Figure 2: Mechanism of crystal growth by selective solvent binding in amino acids.

Figure 7 :
Figure 7: Solubility of L-threonine in water solvent.

Figure 10 :
Figure 10: Photograph of L-threonine crystal grown from aqueous solution by slow cooling method.

Figure 12 :
Figure 12: Photograph of L-threonine crystal grown at different pH.

Figure 13 :
Figure 13: Deuterated L-threonine single crystals grown from seed rotation technique.

2. 4 .
Crystal Growth of Deuterated L-Threonine.Seed crystals of deuterated L-threonine (D-LT) were taken after repeated recrystallization of L-threonine with D 2 O (99.9%).The degree of deuteration can be determined qualitatively through Fourier transform infrared spectroscopy (FTIR).Only the NH and OH protons are replaced by deuterium and the protons of CH and CH 3 are unaffected.The deuteration of the OH and NH sites can be brought arbitrarily close to 100% by multiple recrystallizations of L-threonine salt with fresh D 2 O.

Figure 14 :
Figure 14: Photograph of electron irradiated L-threonine for various fluences.
Figures 21,22,23,and 24 show the anisotropy of linear expansion coefficient (α), bulk expansion coefficient (α v ), linear expansion (ΔL), and linear strain as a function of temperature.From Figure24, it was found that no negative thermal expansion has been observed in L-threonine single crystal in all mutually perpendicular crystallographic axes.The coefficients of thermal expansions were comparable to that of L-alanine single crystals[60].L-threonine crystal shows large expansion coefficient along c-axis when compared to b and a-axes.The anisotropy in the expansion coefficients can be perceived from the hydrogen bonding in L-threonine.According to crystal data[61], 4 hydrogen bonds are possible for the crystal, out of which three are of N-H• • • O type and the remaining one form O-H• • • O bonds.The crystallographic b and c axes are linked through a chain of N-H• • • O bonds while a-axis is linked by a chain of O-H• • • O bonds.The higher expansion coefficient along c-axis

Figure 21 :Figure 22 :Figure 23 :
Figure 21: Anisotropy of linear expansion coefficient along the three axis.

Figure 24 :
Figure24: Anisotropy of linear strain along the three axis.
Crystalline Properties of L-Threonine 3.3.1.Optical Transmittance Studies.UV-Vis-NIR spectrum of L-threonine crystals (grown at different pH) in the range 190 and 1500 nm is represented in Figure 26.The optical transparency region lies between 190 and 1100 nm.Cutoff wavelength λ cutoff varies with pH.Lower UV cutoff of Lthreonine crystal grown at isoelectric point (PI) occurs at 198 nm whereas for a crystal at pH = 4.4 and pH = 6.7, λ cutoff falls at 206 and 208 nm.Maximum absorbance (λ max ) of L-threonine crystal grown at PI shifts towards the shorter wavelength side thereby increasing the width of transparency window of the title compound [65].This favours further for pH = 5.87 (PI) pH = 6.7 pH = 4.4

Figure 26 :
Figure 26: UV-Vis-NIR spectrum of L-threonine at different pH values.

Figure 27 :
Figure 27: Powder SHG efficiencies of L-threonine at different pH values.

Figure 30 :
Figure 30: Powder X-ray diffraction of L-threonine and deuterated L-threonine.

Figure 34 :
Figure 34: Dielectric loss of pure and deuterated L-threonine single crystal at various frequencies.

Figure 35 :
Figure 35: Dispersion of Linear and Nonlinear (SHG) susceptibility with wavelength for L-threonine single crystals.

Figure 37 :
Figure 37: Variation of r 63 and electro-optic susceptibility with wavelength.

Figure 38 :
Figure 38: Wavelength versus Figure of Merit of EO modulation.

Figure 39 :
Figure 39: Electronic and nuclear energy loss for various incident electron energies in L-threonine single crystals.

Figure 40 :
Figure 40: Deaminated free radical formation due to electron irradiation in L-threonine.

Figure 42 :
Figure 42: Micro-Raman spectra of pure and electron-irradiated L-threonine crystal at various fluencies.
threonine c-axis Irradiated L-threonine c-axis Unirradiated L-threonine b-axis Irradiated L-threonine b-axis Unirradiated L-threonine a-axis Irradiated L-threonine a-axis

Figure 47 :
Figure 47: Coefficient of linear expansion versus temperature of pure and electron-irradiated L-threonine crystal at 12 × 10 14 e/cm 2 .

Figure 51 :
Figure 51: Dielectric constant of L-threonine for various electron fluencies.

Figure 52 :
Figure 52: Dielectric loss of L-threonine for various electron fluencies.

Figure 53 :
Figure 53: Schematic diagram of models of sputtering and plastic deformation due to a cylindrical pressure pulse.

Figure 54 :
Figure 54: Nuclear and electronic energy losses for various input incident Li 3+ ion energies in L-threonine single crystals.

3. 7 . 4 .
Electrical, Thermal and Optical Properties of Lithium Irradiated L-Threonine Single Crystals Dielectric Studies.Dielectric permittivity and dielectric loss measurements were carried out for the irradiated crystals of L-threonine in the frequency range 1 kHz to 1 MHz at room temperature.Figures 58(a) and 58(b) show the dispersion of dielectric constant and dissipation factor with ion fluence.At lower fluence of 1 × 10 10 ions/cm 2 , the dielectric constant decreases to 62 at 1 MHz.

3. 7 . 5 .
UV-Vis-NIR Spectroscopy.UV-Vis-NIR spectra recorded for the unirradiated and irradiated crystals of L-threonine in the wavelength 190-1100 nm show that there is a slight shift in the absorption edge towards lower wavelength side for the higher fluence reflects the results obtained in the dielectric measurements.Percentage of absorption has also changed with the ion fluence and it is shown in Figure59.

Figure 55 :
Figure 55: X-ray diffraction patterns of unirradiated and irradiated L-threonine single crystals at various ion fluencies.

Figure 56 :
Figure 56: X-ray penetration depth in L-threonine crystals at various incident angles.

5 logF 4 logFFigure 58 :
Figure 58: (a) Dielectric constant of unirradiated and irradiated L-threonine single crystals at various ion fluences.(b) dielectric loss of unirradiated and irradiated L-threonine single crystals at various ion fluencies.

Table 2 :
Crystallographic details of L-threonine.

Table 3 :
Bands assignments of IR and Raman spectra of Lthreonine.
• C. Rectangular shaped crystal of dimension (l = 3.35 mm, b = 4.45 mm and t = 1.25 mm) has been pasted with conductive silver paint for metallic contacts.Dielectric constant and dielectric loss (tan δ) values have been found in the frequency range 1 KHz-1 MHz.It was found that at all temperatures there was an increase in the dielectric constant (ε r ) at low frequencies.This can be attributed to space-charge Advances in Materials Science and Engineering

Table 4 :
Comparative data on thermal expansion coefficient values of various novel NLO crystals.

Table 5 :
Comparison of SHG efficiencies of different organic NLO crystals relative to KDP equaling 1.0.

Table 7 :
Deuterated and undeuterated L-threonine assignments on IR bands.

Table 8 :
Dispersion of second order NLO parameters with wavelength.

Table 9 :
Linear and volume expansion coefficients of unirradiated and electron irradiated L-threonine single crystals at 12 × 10 14 e/cm 2 .