1 Introduction

In the new years, the interest in combining of organic materials with charge corresponded and exceptionally delocalized π-electron states and developing them as single crystal has expanded extensively, since extremely enormous nonlinear optical susceptibilities have been estimated in a portion of the materials to use them for different applications [1,2,3,4,5,6,7]. The electronic properties of organic single crystals have been seriously read and performed for above and beyond 40 years. Top-notch noncentrosymmetric organic single crystals obtain predominant nonlinear optical properties than their inorganic partners because of the delocalization of electrons and donor and acceptor characters [8,9,10,11,12,13,14,15,16]. The pursuit of new and productive organic materials for nonlinear optical (NLO) measures has been expanded during the most recent years. Dopants are assuming indispensable part in changing the properties of organic single crystals [17,18,19,20,21,22,23,24]. The crystal development field, a part of materials science, has a rich authentic foundation that returns something like a few centuries. It fundamentally manages understanding the basic systems associated with the crystallization interaction and the innovation to create a solitary crystal from some medium in controlled design [25,26,27,28,29,30,31,32,33,34]. The field of crystal development envelops a wide range of logical pulling and incorporates as follows. (1) Trial and hypothetical investigations of crystallization measures. (2) The development of crystal under controlled conditions for both logical purposes and industrials, i.e., inorganic and organic mixtures and basic materials just as organic macromolecules [35,36,37,38,39,40,41,42]. Numerous strategies have been created over the course of the years for delivering the size range for which it fluctuates from the nanometer to meter scale. Much exertion has been spent in planning new atoms and working on sub-atomic nonlinearities that would advance better noncentrosymmetric crystal pressing to empower simpler development [43,44,45,46,47,48,49,50,51,52]. Nonlinear optical (NLO) crystals with high second-order NLO efficiencies and upfront in the noticeable and bright ranges are needed for different gadgets in the field of optoelectronics and photonics [53,54,55,56,57,58,59,60]. Zinc acetic acid derivation has not many uses beside dietary and restorative applications. It has been utilized in capsules for treating the normal virus. Zinc acetic acid derivatives can likewise be utilized to treat zinc insufficiencies [21, 61,62,63]. Zinc acetate derivation is a white covering strong assembly of the structures; ZA is an astringent and irritant depending on minimal to maximum concentration; it is the best anti-bacterial tool [64,65,66,67,68,69,70,71,72,73].

1.1 Synthesis

ZA is purchased from Sigma-Aldrich-383317 with cis557-34-6 EC#209-170-2, is properly soluble in water, and is a white crystalline specimen obtained 17.5 days after proper rinsing and stirring using magnetic stirrer.

2 XRD

The XRD data for anhydrous ZA mainly portray the lattice framework as monoclinicity and P21/c, beta as 98.11°, a, b, and c in Å as 15.097, 9.238, and 4.7969 and crystal size of 52 nm by milling, and dimension of ZA as 10 × 8 × 6 mm3. The wavelength of 1.5406 Å with a peak positioning of 40° and average size of 52 nm is confirmed by the TEM approach as given in the nano influx paper.

3 Thin-film influx, frequency enhancer, SEM, and CHNSO of ZA

The thin film-coated filter use of ZA is 4.999 microns for optical-electronic usage and is a better scope for the betterment of results in frequency enhancing use as the standard diodes are of 2Y outcome for input Y as frequency and ZA-coated one has 2.107Y as output and is more than uncoated value. The micrograph of ZA analyzed properly by Zeiss-SE1 with HT 10 kV with a width lie of 8.5 mm and 3000 times magnified image with 10-micron length parameter shows that ZA is having some separated island and some seed specimen is shown inside with uniform mapping and without foremost failing as properly and indicatively allusion as shown in Fig. 1. The composition of elements present in the grown crystal is represented in a fine manner by CHNSO analysis for C, H, and O and the % of 26.16, 3.29, and 34.89 leading to total of 100% including Zn and without it as 64.34% correspondingly without N and S as are not present in titled crystal as shown in Table 1.

Fig. 1
figure 1

SEM micrograph—ZA specimen

Table 1 Experimental CHNSO data of ZA macrocrystal

4 Computational

Figure 2 represents the capped stick profile of ZA material. Figures 3, 4, and 5 represent the d spacing, internal, and external interaction energy representation of ZA specimen. Figure 6 represents the indexing profile of the shaping model of ZA and portrays the nonlinearity—NLO effectiveness of the grown specimen for opto-electronic due to the electron affluent and deprived zones in shaped indexed profile. Figure 7 represents the curvedness impact of ZA. Figure 8 shows that the fragmented patch of ZA specimen is ported in a defined manner. In Figure 9, the finger print effect as well as the inside and outside contour of ZA specimen is mentioned. The cloning impact as well as the interactions of multiple atomic representations with 90o portrayal is well defined in Fig. 10. The electron rich and poor zones in the ZA profile is mentioned in Fig. 11. Wide space plays a very vital role in a particular material and here Fig. 12 represents the wide effect. Homo-1 and Lumo+1 are defined in Figs. 13 and 14 for the energy representation. Figure 15 represents the cluster of ZA specimen. Figure 16 represents the dotted mapping of ZA specimen and Fig. 17 represent 4 × 4 × 4 unit cell generation in three-dimensional effects of ZA sample. Figure 18 portrays the 5 × 5 × 5 matrix of ZA cluster with void spacing consequence.

Fig. 2
figure 2

Capped stick—ZA specimen

Fig. 3
figure 3

dnorms—ZA specimen

Fig. 4
figure 4

di—ZA specimen

Fig. 5
figure 5

de—ZA specimen

Fig. 6
figure 6

Shape index—ZA specimen

Fig. 7
figure 7

Curvedness—ZA specimen

Fig. 8
figure 8

Fragment patch—ZA specimen

Fig. 9
figure 9

Finger print effect—ZA specimen

Fig. 10
figure 10

Cloning effect of the interactions—ZA cluster specimen

Fig. 11
figure 11

Electrostatic potential of ZA specimen

Fig. 12
figure 12

Void effect—ZA specimen

Fig. 13
figure 13

HOMO-1 of ZA specimen

Fig. 14
figure 14

LUMO+1 of ZA specimen

Fig. 15
figure 15

3D cluster of ZA specimen

Fig. 16
figure 16

3D cluster-dotted mapping of ZA specimen

Fig. 17
figure 17

3D effect of 4 × 4 × 4 unit cell generation of ZA sample

Fig. 18
figure 18

5 × 5 × 5 matrix of ZA cluster with void spacing effect

5 Hardness, NLO

The hardness profile for the microhardness effect of ZA is mentioned as shown in Table 2. The hardness of different scaling of 25 g, 50 g, and 100 g are well portrayed with the average value of HV index in kg/mm2 as 52.6, 65.2, and 91.9, respectively. So, when the gram increases the hardness profile also gets increased, accordingly a ZA sample is having high index profile of hardness and it is with a RISE effect and is shown in Figs. 19 and 20 and n is 3.32; the SHG–NLO efficiency of ZA is well measured by Kurtz methodology and is 1.24 times than KDP.

Table 2 Hardness interactions of ZA crystals
Fig. 19
figure 19

Hardness profile of ZA

Fig. 20
figure 20

Hardness profile with linear fitting silhouette of ZA

6 Electrical analysis of zinc acetate nanoparticles

In current years, nanoparticles are emerged as a promising alternate in the field of electronics. As the magnetic and electrical properties of nanomaterials are entirely different from that of their bulk counterpart, it is important to study their electrical response over wide range of temperature and frequency to found their usage in different fields of science [74]. Changes in particle size, shape, and boundaries were accused for changes in dielectric characteristics [75].

Materials with high dielectric constant with less loss factor are of unique importance [74, 75]. In our present study, we compressed the as-prepared zinc acetate Np as pellets by applying a pressure of 2 tons using hydraulic pelletizer. The obtained pellets were coated with silver paste on the polished surface for providing proper conduction. Silver coated pellets were placed in between the silver electrodes of the two-probe set-up, which is maintained under constant temperature using a processor controlled digital oven with accuracy of ± 0.05 °C. Capacitance and loss factors were measured for various frequencies over a temperature range of 40–150 °C using Agilent 4284A LCR meter with an accuracy of ± 2% [74, 75].

The real (εr′) and imaginary (εr″) part of the dielectric constant of the material is calculated using the following formulas:

$$\varepsilon^{\prime}_r = \frac{C_p t}{{\varepsilon_{0A} }}$$
$$\varepsilon^{\prime \prime}_r = \varepsilon^{\prime}_r \, \tan \delta,$$

where Cp is the capacitance of the sample, t is the thickness of the disk, A is the surface area of the electrodes, and ε0 = 8.85 × 10−12 F/m which is the permittivity of free space.

Variation of real and imaginary part of dielectric as a function of temperature for various frequencies viz., 100 Hz, 1 kHz,10 kHz, 100 kHz, and 1 MHz are depicted in Figs. 21 and 22. At low frequencies, a combined contribution owing to electronic, ionic, and interfacial polarization can be attributed to the monotonous reduction in dielectric constant with increasing frequency. In the low-frequency region, the dielectric constant low grain ranges are very effective in this region and requires more energy for electron transfer [76,77,78,79,80,81]. The dielectric constant (ε′) of zinc acetate is decreased with increasing frequency and finally it became independent and constant of frequency at higher frequencies. This decrease in ε′ with respect to increase in frequency is caused by high regular reversal of field at the interface, and this decreases the contribution of charge carrier to the dielectric constant, finally it is saturating at higher frequencies leading to dielectric constant [82,83,84].

Fig. 21
figure 21

Frequency dependence plot of real part of dielectric constant of ZA

Fig. 22
figure 22

Frequency dependence plot of imaginary part of dielectric constant of ZA

Figures 23 and 24 show the dependence of frequency on the dielectric constant ε′ and the dielectric loss ε″ for the prepared sample at different temperatures (40–150 °C). The thermal behavior of zinc acetate in dielectric constant and dielectric loss shows the endothermic peak in region II at 90–130 °C, which is due to mass loss in low percentage which is evident by analyzing the TG graph from [85]. This is due to the exhale of crystalline water and vaporization of absorbed water. The dielectric constant and dielectric loss in region I show the stable and constant flow at various temperatures. This thermal behavior leads to the semiconductor applications for our prepared samples.

Fig. 23
figure 23

Temperature dependence plot of real part of dielectric constant of ZA

Fig. 24
figure 24

Temperature dependence plot of imaginary part of dielectric constant of ZA

7 AC conductivity

The study of conductive property is concerned with the storage and scattering of electrical and magnetic energy in materials. Conductors are important in electronics, optics and in solid state physics to explain various phenomena [86]. A commonly used parameter is the dielectric constant of an object, which gives an edge on atoms, ions, and their bonds in matter [87, 88].

The result of dielectric constant with various frequencies and different temperatures of zinc acetate is shown in Fig. 25. From this we clearly understand that the dielectric constant increases with increasing temperature at low frequency and decreases with increasing frequency. The AC conductivity is calculated from the following relation

$$\sigma_{ac} = \omega \varepsilon_o \varepsilon_r \tan \delta,$$

where \(\sigma_{ac}\) is the permittivity of free space, ω is the angular frequency, and \(\varepsilon_r\) is the relative permittivity [89]

Fig. 25
figure 25

Temperature dependence plot of dielectric constant of ZA

Figure 26 illustrates the variation of AC conductivity as a function of temperature and frequency. It was observed that the AC conductivity of the prepared samples increases as the temperature and frequency increase. AC conductivity increases with the transmission contact frequency and is due to small polar bounce [90]. The increase in conductivity can be said with confidence by the optimization mechanism and it appears by the use of an electrical field [91].

Fig. 26
figure 26

Temperature dependence plot of AC conductivity of ZA

8 Electrical modulus analysis

The electric modulus system is used to analyze the electrical relaxation mechanism in ion-conducting materials [92, 93]. One of the advantages of modulus analysis is that the electrical polarization effects are suppressed. The complex modulus (M*) can be expressed by the following formula [94,95,96]

$$M^* = \frac{1}{{\varepsilon^{\prime} + i\varepsilon^{\prime \prime}}}$$
$$M^* = M^{\prime}-- iM^{\prime \prime}.$$

The values of real (M′) and imaginary (M″) part of the complex modulus can be obtained by the following relation [97]

$$M^{\prime} = \frac{{\varepsilon^{\prime}}}{{\left( {\varepsilon^{\rm{^{\prime} }2} + \varepsilon^{\rm{\prime \prime }2} } \right)}}$$
$$M^{\prime \prime} = \frac{{\varepsilon^{\prime \prime}}}{{\left( {\varepsilon^{\rm{^{\prime} }2} + \varepsilon^{\rm{\prime \prime }2} } \right)}}.$$

From Fig. 27 we observe that the frequency dependence of the real part of electric modulus at different temperatures reaches a maximum value at high frequencies and it approaches low value (nearly zero) at low frequencies. The maximum value at high frequency is due to conductive relaxation process [98]. The low values at low frequency indicates that the electric polarization drive a very small contribution [99, 100]. Compared with Fig. 21, this electric modulus shows reverse behavior with the dielectric constant. The frequency dependence of the imaginary part of electric modulus at different temperature is shown in Fig. 28. The relaxation process is obtained at high frequency and is constant with increasing frequency. The extension of plotted peaks shows a semicircular arc and which gives the existence of large relaxation process [101]. The smaller the radius of the semicircular curve the greater the capacity.

Fig. 27
figure 27

Frequency dependence plot of real part of electric modulus of ZA

Fig. 28
figure 28

Frequency dependence plot of imaginary part of electric modulus of ZA

9 Unit cell, PXRD-simulated, and UV–Vis fluorescence data

The space-filled unit cell and Fourier model of ZA are shown in Figs. 29 and 30 by software, the simulated pattern of Powder XRD data for 10°–100° versus 10–100 intensity data is shown in Fig. 31, and the thermal projection of ZA is properly portrayed in Fig. 32 for the atomic arrangement; Table 3 discloses the lattice data by theory and practice of ZA for comparative outcome.

Fig. 29
figure 29

Unit cell with space-filled outcome of ZA

Fig. 30
figure 30

Fourier effect of ZA

Fig. 31
figure 31

PXRD—simulated effect of ZA

Fig. 32
figure 32

Thermal projection effect of ZA

Table 3 XRD part of data for geometrical bound of ZA using Gaussian software

The UV spectral cut-off wavelength for nano-ZA (the macro which is milled for 52 nm) is 220 nm by Fig. 33 and proper counter verification of the same for band gap in eV as 5.63 as mentioned in Fig. 34 specifies the nano-photonic utility from Tauc’s plot. The refranged wavelengths corresponding to versatile scaling are 505 nm and 481 nm, proving the bluish green light emission through fluorescence corresponds to the energy impact of 2.5777 eV and 2.4520 eV by Fig. 35. The computational impact is mainly by the use software for interactions and fabrications [102, 103]

Fig. 33
figure 33

Absorbance spectrum effect of nano-ZA

Fig. 34
figure 34

Tauc’s plot of nano-ZA

Fig. 35
figure 35

Fluorescence spectrum of nano-ZA

10 Conclusion

The ZA crystals are grown successfully by slow evaporation solution growth method. The lattice parameters are identified using single-crystal XRD methodology, the space group is P21/c and lattice parameters is a = 15.097 Å, b = 9.238 Å, c = 4.7969 Å, and beta is 98.11°. The highest yield is obtained of ZA crystal for white crystalline powder and confirming the elements by experimental CHNSO mode and macro one is converted by ball milling mode to nano of 52 nm confirmed by TEM approach. The ZA crystals are monoclinic in nature. The thin film influx-coated ZA used for optical-electronic usage better results for frequency enhancing usage as the standard diodes more than uncoated value. Scanning electron microscope is analyzed 3000 times magnified image with 10-micron length parameter. Micrograph of ZA is analyzed properly by Zeiss-SE1 with HT 10 kV with a width lie of 8.5 mm and having separated island and seed specimen shown inside with uniform mapping. As well as the computational method is fully explained for the structure of ZA crystals. Structure is represented for capped stick profile and internal and external energy representation and fragmented patch, finger print effect impact, wide effect of Homo-1 and Lumo+1, and energy representation, etc. The hardness of different scaling of 25 g, 50 g, and 100 g is well portrayed with the average value of HV index in kg/mm2 as 52.6, 65.2, and 91.9, respectively. So, when the load increases the hardness profile also gets increased, accordingly a ZA sample is having high index profile of hardness and it is with a RISE effect with the esteem of n as 3.32. The photonic scheduled ZA is well portrayed by 5.63 eV, correspondingly the UV cut-off wavelength for nano-ZA is 220 nm, the refranged effect for the bluish green light emission through fluorescence.