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Materials Research Express ACCEPTED MANUSCRIPT Influence of additives on thermal and dielectric properties of technologically important DAST single crystals To cite this article before publication: M. Manivannan et al 2019 Mater. Res. Express in press https://doi.org/10.1088/2053-1591/ab22f6 Manuscript version: Accepted Manuscript Accepted Manuscript is “the version of the article accepted for publication including all changes made as a result of the peer review process, and which may also include the addition to the article by IOP Publishing of a header, an article ID, a cover sheet and/or an ‘Accepted Manuscript’ watermark, but excluding any other editing, typesetting or other changes made by IOP Publishing and/or its licensors” This Accepted Manuscript is © 2019 IOP Publishing Ltd. During the embargo period (the 12 month period from the publication of the Version of Record of this article), the Accepted Manuscript is fully protected by copyright and cannot be reused or reposted elsewhere. As the Version of Record of this article is going to be / has been published on a subscription basis, this Accepted Manuscript is available for reuse under a CC BY-NC-ND 3.0 licence after the 12 month embargo period. After the embargo period, everyone is permitted to use copy and redistribute this article for non-commercial purposes only, provided that they adhere to all the terms of the licence https://creativecommons.org/licences/by-nc-nd/3.0 Although reasonable endeavours have been taken to obtain all necessary permissions from third parties to include their copyrighted content within this article, their full citation and copyright line may not be present in this Accepted Manuscript version. Before using any content from this article, please refer to the Version of Record on IOPscience once published for full citation and copyright details, as permissions will likely be required. All third party content is fully copyright protected, unless specifically stated otherwise in the figure caption in the Version of Record. View the article online for updates and enhancements. This content was downloaded from IP address 154.59.124.171 on 23/05/2019 at 15:21

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  • Materials Research Express

    ACCEPTED MANUSCRIPT

    Influence of additives on thermal and dielectric properties oftechnologically important DAST single crystalsTo cite this article before publication: M. Manivannan et al 2019 Mater. Res. Express in press https://doi.org/10.1088/2053-1591/ab22f6

    Manuscript version: Accepted Manuscript

    Accepted Manuscript is “the version of the article accepted for publication including all changes made as a result of the peer review process,and which may also include the addition to the article by IOP Publishing of a header, an article ID, a cover sheet and/or an ‘AcceptedManuscript’ watermark, but excluding any other editing, typesetting or other changes made by IOP Publishing and/or its licensors”

    This Accepted Manuscript is © 2019 IOP Publishing Ltd.

    During the embargo period (the 12 month period from the publication of the Version of Record of this article), the Accepted Manuscript is fullyprotected by copyright and cannot be reused or reposted elsewhere.As the Version of Record of this article is going to be / has been published on a subscription basis, this Accepted Manuscript is available for reuseunder a CC BY-NC-ND 3.0 licence after the 12 month embargo period.

    After the embargo period, everyone is permitted to use copy and redistribute this article for non-commercial purposes only, provided that theyadhere to all the terms of the licence https://creativecommons.org/licences/by-nc-nd/3.0

    Although reasonable endeavours have been taken to obtain all necessary permissions from third parties to include their copyrighted contentwithin this article, their full citation and copyright line may not be present in this Accepted Manuscript version. Before using any content from thisarticle, please refer to the Version of Record on IOPscience once published for full citation and copyright details, as permissions will likely berequired. All third party content is fully copyright protected, unless specifically stated otherwise in the figure caption in the Version of Record.

    View the article online for updates and enhancements.

    This content was downloaded from IP address 154.59.124.171 on 23/05/2019 at 15:21

    https://doi.org/10.1088/2053-1591/ab22f6https://creativecommons.org/licences/by-nc-nd/3.0https://doi.org/10.1088/2053-1591/ab22f6

  • 1

    Influence of additives on thermal and dielectric properties of technologically important

    DAST single crystals

    M Manivannan, S A Martin Britto Dhas and M Jose *

    * Department of Physics, Sacred Heart College (Autonomous), Tirupattur–635601,

    Tamilnadu, India

    *Corresponding author mail id: [email protected], Alternate mail: [email protected]

    Abstract

    An efficient nonlinear optical terahertz emitting pure, EDTA and DTPA doped DAST

    crystals were grown from saturated methanol solution employing controlled slow evaporation

    technique. Crystallinity and chemical composition of the grown crystals were identified by

    powder X–ray diffraction analysis. The photoacoustic spectroscopic results revealed that the

    DTPA added DAST crystal show better thermal diffusivity, effusivity and conductivity than

    that of pure and EDTA doped crystal. Dielectric properties of the pure and additives added

    DAST crystals were studied in the broad range of frequencies from 1 Hz to 1 MHz at various

    temperatures from 50–200 °C. The permittivity and dielectric loss were found to be strongly

    dependent on additives, temperature and frequency of the applied electric field. Nyquist plot

    suggests that the grain boundary effect is involved in the material and shows non–Debye type

    of relaxation phenomena.

    Key Words: crystal growth, powder X–ray diffraction study, photoacoustic analysis,

    dielectric analysis, electric modulus

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    1. Introduction

    Nonlinear optics (NLO) is one of the interesting areas of research due to its massive

    applications in the field of photonics, switching of optical signals and high speed data

    transmission. Photonics covers a swiftly increasing range of novel materials, techniques and

    optical components, including bar code laser scanners, solid state laser, information storage,

    optical fiber communication and compact disc players [1]. This reminds a necessity for new

    NLO materials with splendid optical and mechanical properties. For a strong second order

    NLO property, the material should possess a high molecular hyperpolarizability, good

    transparency, high thermal stability and have to crystallize in a non–centrosymmetric

    structure. Hence, the hyperpolarizability is the foundation for a powerful second harmonic

    generation [2]. This can be improved by the quantity of delocalized π– electron arrangement

    with influential donor and acceptor. During the past two decades, the search for efficient

    NLO materials was the focus of research activity throughout the world for the optoelectronic

    applications such as optical communications, data storage and high speed signal processing.

    [3]. In general, inorganic materials are broadly used for these applications due to their huge

    melting point, mechanical strength and degree of chemical inertness. On the other hand,

    organic materials show a better NLO response than few well known inorganic materials,

    however, the difficulty is growing them in bulk size with good transparency and large

    mechanically stable single crystal.

    4–N, N–Dimethylamino–4–N–methyl stilbazolium tosylate (DAST) is one of the

    commercially important organic NLO crystals which exhibit low permittivity, large electro–

    optical coefficient and large second–order nonlinear optical coefficients. Moreover, it

    exhibits excellent Terahertz (THz) generation as well as detection as compared with currently

    existing bulk organic crystals. Among several methods, Photoconductive (PC) switching and

    optical rectification (OR) have been widely applied to emit pico–second THz pulses [4–6].

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    THz radiation has various exceptional features such as low photon energy, good

    penetrability, and excellent capability for spectral analysis. Hence, it is widely used in many

    fields such as THz absorption spectroscopy or spectroscopic imaging, optical parametric

    oscillator in infrared (IR), wavelength conversion, sub–millimetre wave generation, non–

    destructive inspection, security check, biology research, gas sensing, and cancer diagnosis so

    on [7, 8]. The THz conversion efficiency of DAST crystal is 42 times higher than the

    benchmark materials like GaAs and InP crystals, while, the generation of THz electric field is

    185 and 50 times greater than LiTaO3 and LiNbO3 crystals respectively. In addition, DAST

    exhibits larger second order nonlinear coupling coefficient compared to the well known

    standard inorganic materials like CdTe, GaSe and ZnTe crystals [9–12]. Recently, novel

    binary composite films of DAST–CNT and DAST graphene have been designed and

    synthesized which demonstrates significantly improved optical and electrical properties as

    compared to DAST film which substantiate the possibility of DAST for novel applications

    such as in bolometric materials for uncooled IR or THz detectors [13, 14].

    In addition, the growth of good quality bulk DAST crystal is still a big challenge due

    to the uncontrollable occurrence of multi-nucleation during the growth process. Furthermore,

    this crystal has two major difficulties such as controlling the location and growth direction of

    nucleation. Also, DAST crystals generally tend to stick to the bottom of the growth vessel,

    leading to poor crystalline perfection and tend to coagulate together and form poly–crystals.

    However, the quality of the crystal can be enhanced to a large extent by the

    understanding of its nucleation processes. Additives or dopants play a major role in

    controlling the nucleation, rate of growth, nucleation kinetics, quality and properties of the

    crystals, by controlling the cluster formation by capturing the metallic ions and enhancing the

    metastable zone width. Among the number of growth agents, Ethylene Diamine Tetraacetic

    Acid (EDTA) and Dimethylene Triamine Pentaacetic Acid (DTPA) could be useful to

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    enhance the metastable zone width and improve the growth of crystal depending on the

    concentration of additives, pH, temperature and super saturation of the solution [15]. EDTA

    is a good growth agent, containing large number of nitrogen atoms with small chain

    carboxylic group and it forms ionized complexes with the metal ion in the growth solution

    and controls the chemical interaction [16–17]. DTPA can easily bind with a number of metal

    atoms and has five acetate moieties which make strong bond with the material to form more

    stable than other growth agents [16].

    This paper reports, the growth of large size DAST crystal using different additives

    from methanol solution by slow solvent evaporation technique. The grown pure and additives

    added DAST crystals were identified by single crystal x-ray diffraction and powder x–ray

    diffraction investigation. The absences of additional peaks confirm that the fundamental

    structure of the DAST crystal was not affected by additives. Photoacoustic spectroscopic

    analysis demonstrated the thermo–physical property such as thermal diffusivity, thermal

    effusivity and thermal conductivity of the crystals. The dielectric behaviour of pure and

    additives added DAST crystals were examined throughout the frequencies from 1 Hz to 1

    MHz for various temperatures between 50–200 °C. The permittivity and dielectric loss

    reveals the influence of additives in the grown crystals. The conductivity at different

    frequencies and temperatures are interpreted from the Arrhenius plot and the variation in

    activation energy with respect to frequency is tabulated in Table 2.

    2. Experiment

    2.1 Preparation and growth of DAST

    DAST salt is synthesized by condensation technique and the resulting DAST raw

    material is further purified by repeated recrystallization process [18]. Saturated solution of

    DAST is prepared at ambient temperature without addition of additives and kept for

    nucleation. Simultaneously, a required amount of additives EDTA (0.001M) and DTPA

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    (0.001M) was added separately and stirred well with the DAST solution. The solutions are

    filtered and located in a vibration free position for the further growth. After number of trials,

    plate–like single crystals of pure and additives added DAST crystals are obtained in 1 mm

    thickness with different crystallographic faces after the growth period of 20 days at ambient

    temperature. The photographs of grown pure, EDTA and DTPA added DAST crystals are

    shown in Fig.1 (a–c). It is found that the additives added DAST crystals have grown better

    size compared with pure DAST. The growth rate of (110) facet is found to be large compared

    with the other facets.

    3. Results and Discussions

    3.1 X–ray diffraction analysis

    Structural parameters of the pure and doped DAST crystals were analyzed by single

    X–ray diffraction (SXRD) analyses. SXRD result reveals that the pure and doped DAST

    crystals belong to monoclinic crystal system with non–centrosymmetric space group of Cc

    and point group m. The grown pure and additives added DAST crystals are characterized by

    powder X–ray diffraction technique using a Rich Seifert powder X–ray diffractometer with

    CuKα radiations (λ = 1.5408 Å) and the 2θ range is analyzed from 10° to 50 ̊. The recorded

    powder XRD spectra are shown in Fig.2 and the prominent peaks are indexed with the

    corresponding (h k l) values. As can be seen in the spectra no additional phases are seen when

    the additives are doped. However, in the spectra for EDTA and DTPA added DAST crystals,

    Fig.1 (a–c) photographs of grown pure, DTPA and EDTA added DAST crystals

    c)

    1 cm

    b)

    1 cm 1 cm

    a)

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    a small variation in the intensity of the peak are observed. The lattice parameters are

    calculated using 2θ values and they are listed in the Table 1. The obtained and calculated

    lattice parameters of pure DAST crystal and additives added DAST crystals are more reliable

    with the reported values [4, 9]. The obtained XRD results validate that the existence of

    additives has not transformed the fundamental structure of the DAST crystal.

    Fig. 2 Powder XRD pattern of pure, DTPA and EDTA added DAST crystals.

    Table 1 Lattice parameters of pure, DTPA and EDTA added DAST crystals

    Crystals

    Lattice Parameters (Å)

    a b c

    SXRD PXRD SXRD PXRD SXRD PXRD

    Pure DAST 10.341(12) 10.339 11.301(13) 11.321 17.845(20) 17.831

    EDTA+DAST 10.397(12) 10.397 11.319(12) 11.408 17.893(20) 17.957

    DTPA +DAST 10.366(13) 10.357 11.232(12) 11.421 17.892(12) 17.867

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    3.2 Photoacoustic spectroscopy (PAS)

    Thermal properties like thermal diffusivity, conductivity and effusivity play important

    role in the process of heat transfer in nature [19]. The variation in the thermal parameter of

    the materials is depends on the initial temperature, moisture content, and bulk density [20].

    Among standard transient techniques, photo–thermal and laser flash method are most

    accepted methods for the evaluation of thermal diffusivity of solids. Thermal diffusivity is a

    good way to transfer the thermal energy and it defines as the rate of heat transfer from hot

    region to cold region. Any temperature variation in the crystal system makes a transfer of

    heat from higher temperature region to that of lower until the crystal reach its thermal

    equilibrium state. The heat variation within the crystal creates a variable temperature profiles

    with respect to time, which have significantly effect on the quality of the output. The crystal

    with large thermal diffusivity will achieve thermal equilibrium very faster than the crystal

    with low thermal diffusivity. Since, the crystals with high thermal diffusivity carry the

    temperature rapidly through the crystal from a high temperature region to lower temperature

    region, which prevents the crystal from thermal damages. This kind of crystals are widely

    used in mobile phones, LED panels, laptop, tablet PCs and high–power LEDs [21].

    In the present study, plate like and polished crystals along (001) plane with uniform

    thickness of 1mm are placed in the sample holder and the photoacoustic signal was measured

    for various chopping frequencies from 10 Hz to 120 Hz. The plot of normalized PA signal

    amplitude with the square root of the chopping frequency (Fig. 3) reveals that the PA signal

    is decayed exponentially with respect to the chopping frequency indicating that the chopping

    frequency influences PA signal. From this plot the thermal diffusivity was derived by curve

    fitting method by adopting Barros Mela and Fariea [22].

    The thermal conductivity and effusivity of the grown crystals are obtained using curve

    fit method and the following empirical equations [22–23].

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    pck = ........... (N m–1 K–1)

    pce = ............... (J m–3 K–1)

    Where, k, e, α, ρ and cp are the thermal conductivity, effusivity, diffusivity, density

    and the specific heat capacity of the crystals respectively. The differential scanning

    calorimetric (DSC) analysis was performed for the pure and additives added DAST crystals

    and the specific heat capacities at 30 °C are calculated. The calculated thermal diffusivity,

    effusivity and conductivity of pure and additives added DAST crystal are shown in and Fig. 4

    for comparison. It demonstrates that the DTPA added DAST crystal has high thermal

    diffusivity, conductivity and effusivity compared to the pure and other additives added DAST

    crystals, With the addition of EDTA with DAST crystal, the thermal diffusivity, conductivity

    and effusivity showed lower values and this may be probably due to decrease in lattice

    vibration or decrease in the free electrons in the crystals [19].

    Fig. 3 The chopping frequency verses the normalized PA signal amplitude.

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    Fig. 4 Comparison of thermal parameters of pure and additives added DAST crystal

    3.3 Dielectric Studies

    The dielectric behaviour of a solid in bulk form is extremely sensitive to the

    involvement of neighbouring electric field in the sample [24]. The dielectric investigation is a

    significant characteristic that can be performed to fetch information about the structural

    changes, transport mechanism and defect behaviour [25] of the grown crystals based on the

    electrical behaviour of the material as a function of temperature and frequency. The dielectric

    parameters normally depend on the temperature, frequency, density as well as other aspects

    such as material composition and structure.

    For electrical characterization, defect free flat (001) facet crystals of pure, EDTA and

    DTPA added DAST crystals are coated with silver paste on both faces for good electrical

    contact and placed in between the two electrodes, which react as a parallel plate capacitor.

    The temperature dependence of the dielectric response of the crystals is examined by

    programmable furnace with PSM 1735 LCR meter as a function of frequency. The

    permittivity of the crystal is calculated from the standard equation,

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    A

    Ct

    o =

    where, ε, C, εo, t, and A are the permittivity, capacitance, permittivity of free space

    (8.854×10–12 Fm–1), thickness and area of the samples respectively. The relative permittivity

    (ε) measured for different temperatures (50–200 °C) (Fig. 5(a–d)) decreases with increase in

    frequency at all the temperatures for both pure and substituted DAST crystals. The

    permittivity tends to decrease upto 10 KHz due to the inadequate dipolar orientation and

    generation of space charge polarization along the applied field direction, which reveals the

    quality of pure and doped DAST crystals with lesser number of defects [26]. Moreover,

    dispersive behaviour observed for pure and substituted DAST crystals at lower frequency

    seem to exhibit similar trend which can be attributed to the formation of charge polarization

    between the interfacial electrodes and the samples. Conversely, permittivity becomes static

    above 10 KHz, the space charge becomes inactive as the contribution of polarization filters

    off by reducing net polarization [27]. However, the permittivity attained constant values and

    merged at higher frequencies for all the temperatures for both the additives due to the

    suppression of the dipolar relaxation process with increasing temperatures. The permittivity

    of EDTA and DTPA doped DAST crystals shows higher permittivity than the pure one.

    Moreover, it is noticed that permittivity increased with increasing temperature in the entire

    frequency range of pure and doped DAST crystals which may be due to the randomizing

    effect of temperature. Hence, crystal with low permittivity could be an appropriate material

    for microelectronic, electro–optic, and photonic device applications [28].

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    Fig. 5 (a–h) Variation of permittivity and loss of pure and additives added DAST for

    different temperature (50–200 °C)

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    Fig. 5 (e–h) represents the dielectric loss of pure and additives added DAST crystals

    for different temperatures. The dielectric loss of pure and additives added DAST crystals was

    found to be maximum at lower frequencies and it gradually decreases as the frequency is

    increased and then reached constant values at higher frequencies. Further, the dielectric loss

    increases with increasing temperature in the complete range of frequency. The change in loss

    with temperature suggests the grown crystals have thermally activated process. In general, as

    the temperature is increased, the mobility of majority charge carriers in the crystal may

    increase due to the creation of disordered structure and imperfections in the crystals which

    lead to increase in permittivity and loss. The reverse trend is attributed to the increase in

    crystallinity of the crystals with increase of temperature [29].

    The cole–cole plot of pure and additives added DAST crystals (Fig. 6 (a–d)) shows

    single semicircular arcs throughout the full range of frequencies and temperatures, which is

    mainly due to the existence of grain edges in the crystals [26]. The diameters of the semi

    circular arcs are correlated with the capacitive and recombination resistance of the crystals,

    respectively. The change in the radius of the observed semicircular arc with respect to

    additives and temperature suggest the non–Debye type of behaviour in the grown crystals

    [30]. The shift in the centre maxima of the arc in the direction of origin of the complex plane

    of the pure and additives added DAST crystals is attributed to the charge transfer resistance

    between the photoanode and electrolytic interface with increase in temperature [31].

    However, the incomplete semicircular arc appearing in the plots of pure and DTPA added

    crystals might be due to the less influenced charge transfer resistance due to the presence of

    larger ionic conduction. The decrease of radius of semicircular arc of EDTA doped DAST

    crystal with an increase in temperature reveals the decrease in electrical resistivity and

    consequently, increase in conductivity proving negative temperature coefficient of the

    resistance type behaviour of all the crystals.

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    Fig. 6 (a–d) cole–cole plot of pure and additives added DAST for various temperatures

    (50–200 °C)

    To understand the electrical behaviour of the crystal, it is necessity to develop the

    equivalent circuit model that provides a representation of the electrical process which occurs

    in the crystal. Each semicircular arc can be attributed to a parallel arrangement of resistance

    Fig. 6 (e) Equivalent circuit for the pure DAST crystal (f) equivalent circuit for the

    EDTA and DTPA added DAST crystals

    e) f)

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    and capacitance. The equivalent circuit and the LCR magnitudes are evaluated using Z–view

    impedance analysis software and it consist of RC parallel circuit as shown in Fig. 6 (e, f).

    The change in the real and imaginary parts of impedance (Z′ & Z′′) with respect to the

    entire frequency range at different temperature (Fig.7 (a–h)) shows that the scale of Z′ and Z′′

    is large at low frequency range and it decreases gradually as the frequency increases and all

    the curves are merged together in the higher frequency range for pure and additives added

    DAST crystals, which is due to the inactive interfacial space charge polarization [32]. The

    decreasing trend of Z′ and Z′′ with respect to increase in frequency reveals that relaxation in

    the crystal is temperature dependent [33]. The peak shifting in the spectra is directly related

    to the change in relaxation time constant. At low frequency, the magnitude of Z′ decreases

    with increase in temperature in all the pure and additives added DAST crystals. The observed

    asymmetric nature of peaks is an indication of the electrical relaxation in the crystal.

    Furthermore, the appearance of relaxation peaks for all the temperatures is a clear indication

    of electrical relaxation process involved in the crystals. In common, the frequency at which

    Z′′ value reaches a maximum is referred as the relaxation frequency of the grown crystals.

    Besides, the broadening of peaks and peaks shift in the direction of higher frequencies region

    with increase in temperature confirms the temperature dependent relaxation process involved

    in the pure and doped DAST crystals [34]. The emergence of relaxation process in the

    crystals is due to the creation of defects and vacancies at higher temperatures [35].

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    Fig. 7 (a–h) Variation of Z′ and Z′′ for pure and additives added DAST for different

    temperatures (50–200 °C)

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    3.3.1 Electric Modulus Analysis:

    The electric modulus analysis provides understandable initiative on charge convey

    processes such as mechanism of ion dynamics and conductivity relaxation with respect to

    frequency and temperature [36]. The advantage of applying the electric modulus spectra is to

    separate the grain boundary conduction and electric polarization procedures [37]. The electric

    modulus is calculated using the relations,

    ]"[' 0 Zt

    fAM

    =

    ]'[" 0 Zt

    fAM

    =

    where, M′, M′′, f, Z′, and Z′′ are the real, imaginary part of electric modulus, frequency, real

    and imaginary part of impedance respectively.

    Fig.8 (a–h) represents the real (M’) and imaginary (M”) part of electrical modulus

    plotted against applied frequency for different temperatures of pure and EDTA and DTPA

    doped DAST crystals. The real part of electric modulus (M′) approaches very low values at

    low frequencies due to the negligible electrode polarization while it dispersed in the mid

    frequency region due to the mobility of charge carriers contributing for the conduction and

    frequency independent electrical conduction is observed in the higher frequencies region

    [38]. The magnitude of M′ decreases for the additives added DAST crystals compared to the

    pure one, which may be attributed to a deficiency of restoring energy ruling the mobility of

    the charge carrier due to the applied electric field [39]. The change in imaginary part of

    electric modulus (M′′) as a function of various temperatures (Fig.8 (e–h)) explains the

    mechanism of the conductivity relaxation, electrical transport and ion dynamics as a function

    of temperature and frequency [40].

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    Fig. 8 (a–h) Variation of M′ and M′′ for pure and additives added DAST for different

    temperatures (50–200 °C)

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    The imaginary part of electric modulus with the variation of frequency shows a single

    symmetric peak. The observed relaxation peak represents the large grain behavior of the pure

    and additives added grown crystals [41]. Further, the shifting of relaxation peaks reveals the

    spread of relaxation time and temperature dependent relaxation of pure and doped DAST

    crystals. The emergence of relaxation peaks at lower, middle and higher region of frequencies

    is due to the contribution of capacitance to the grain boundary, mobile charges and grain

    phase properties, respectively. The broad nature of the peaks could be the effect of the

    distribution of relaxation time due to non–Debye nature of the crystals [42]. The EDTA

    influenced DAST crystal shows a peak shift in the direction of higher frequency with increase

    in temperature, which may be attributed to the transitional mobility of charge carriers.

    Fig 9 (a–d) Modulus cole–cole plot of pure and additives added DAST for different

    temperatures (50–200 °C)

    Fig. 9 (a–d) shows the complex electrical modulus plot of pure and additives added

    DAST crystals at different temperatures. A single semicircle arc could be observed for all the

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    additives for various temperatures with small shifts occurred towards higher M′ values. This

    may be due to the decrease in modulus grain boundary resistance with the increase of

    temperature. The obtained single semi circular arc for a specific temperature implies the

    single phase behaviour of the crystals [35, 43]. It is also noticed that the arc of the M′ moves

    towards the higher values due to the increase in capacitance value.

    3.3.2 Electrical Conductivity of DAST

    The electrical conductivity of pure and additives added DAST crystal at various

    temperatures is shown in Fig. 10 (a–d). The electrical conductivity (σ) is calculated using the

    relation RAl /= ... ohm−1m−1. Where, R, l and A are the resistance, thickness and area of

    the crystal respectively. The conductivity graph reveals three dissimilar regions. At low

    frequencies, the frequency dependent response of conductivity is observed upto 1 KHz. In the

    middle frequencies (1 KHz–190 KHz), it is observed that the conductivity plot for all the

    temperatures decreases then increases, while the higher frequency region (190 KHz–1MHz)

    displayed a sudden decrease of conductivity with temperatures which may be due to the

    presence of hopping conduction behaviour of the crystals [44]. The decrease of conductivity

    with temperature reveals the presence of negative activation energy [45]. From Fig.10 (a–d),

    it is noticed that the conductivity of EDTA added DAST increases with increase in

    temperatures which is due to the mobility of charge carriers and thermally induced vacancies

    with increasing temperatures [46]. The conductivity of pure and DTPA added DAST crystals

    decreases with increase in temperature which may be due to the impurity ions and vacancies

    of trapped charges. The nature of change in the conductivity throughout large temperature

    range confirms the thermally activated characteristics of the material. As well as the

    temperature dependent conductivity changes is also detected

    The Arrhenius plot is plotted with the logarithm of dc conductivity versus the inverse

    temperature 1000/T at various frequencies, such as 50 Hz, 100 Hz, 10 KHz, and 100 KHz.

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    The variation over different temperature range confirms the presence of thermally activated

    transport behaviour of the crystals, which obeys the Arrhenius equation. It could be explained

    in accordance with the equation [45]

    =

    kT

    Eo exp

    where, ΔE is the activation energy for electron transfer, σo is the pre–exponential factor and k

    is the Boltzmann constant. The dc conductivity of the pure and additives added DAST

    crystals shows a linear variation with additives and temperature (Fig.11 (a–d)) and the slope

    of the linear line is equal to (ΔE/k), from which the activation energy of the crystals is

    calculated.

    Fig 10 (a–d) Variation of the conductivity of pure and additives added DAST crystals for

    different temperature (50–200 °C)

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    Fig. 11 (a–d) Arrhenius plot at different temperatures and frequencies for pure and additives

    added DAST crystals.

    The overall trend of activation energy at different frequencies by the static electric

    field of pure and additives influenced DAST crystal is shown in Table 2. It is in vicinity that

    the contribution of charged polarons in mobilizing the charge carriers for pure DAST crystal

    is less at lower frequency region, later increases linearly upto the threshold frequency

    (10 KHz) and suddenly drops to the initial state. This phenomenon is due to the dynamical

    reorientation of polarons at active frequency region between 50 Hz–10 KHz. A quick fall at

    100 KHz may be due the acceleration of electrons in polarizing the neighbouring atomic sites

    are less mobilized.

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    Table 2 Activation energy of pure and additives influenced DAST crystals at different

    frequencies

    Crystals Activation Energy Ea (eV)

    50 Hz 100 Hz 10 KHz 100 KHz

    Pure DAST 0.17 0.23 0.42 0.17

    DAST+ EDTA 0.36 0.38 0.45 0.24

    DAST+ DTPA 0.31 0.38 0.52 0.29

    4. Conclusion

    Good quality single crystals of DAST are successfully grown in the presence of

    EDTA and DTPA by slow evaporation technique at ambient temperature. The structure of the

    grown crystals and crystalline nature are confirmed by powder X–ray diffraction spectra.

    Photoacoustic spectroscopy analysis reveals that the thermal diffusivity, thermal effusivity

    and thermal conductivity of DTPA added DAST crystal has good results than others. The

    dielectric behaviour of pure and additives added crystals demonstrate that the grown crystals

    have low permittivity and dielectric loss at higher frequencies, which enhanced the optical

    quality with minimum defects. The peak in the dielectric loss spectrum confirms the

    occurrence of dielectric relaxation in the crystals. The electric modulus of the pure and

    additives added crystals shows a non–Debye category of relaxation. The activation energy of

    the grown pure and additives added DAST crystals were found to be increasing with

    increasing frequency, which reveals the conductivity is a thermally activated process.

    Acknowledgements

    The authors acknowledge Department of Atomic Energy–Board of Research in

    Nuclear Sciences (DAE–BRNS), Government of India for providing financial assistance to

    execute this research work (Sanction Number: 34/14/54/2014–BRNS).

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