Abstract
Valsartan and rosuvastatin together in a binary form have been utilized to reduce hypertension and hyperlipidemia to control cardiovascular complications. This study depicts the simple three mathematically manipulated UV spectroscopic techniques for the estimation of rosuvastatin and valsartan in the formulation. The first method is simple UV absorption at 310 nm by RST and the first derivatization method for VTN. Determining the magnitude difference of a ratio spectrum at two identified wavelengths is the second approach, and determination of the magnitude of the first derivatives of the ratio spectra of RST and VTN constitute the third technique. The selection of wavelengths, divisor concentrations, and peak amplitudes were optimized and validated. The straight line was constructed in the range of 1–30 and 2–25 µg/ml for RST and VST by the normal and first derivatization method. By using the magnitude difference and magnitude of first derivative ratio spectra approaches, the concentrations of 1–12 and 2–25 µg/ml for RST and VTN, respectively, displayed a straight line. The limit of quantification was less than 1 µg/ml for RST and less than 2 µg/ml for VTN. It was eventually found that the accuracy, expressed as a percentage recovery, ranged between 98.94 and 99.55% for RST and 100.36 and 101.08% for VTN. The % RSD did not exceed 1.82 and 1.91 for RST and VTN, respectively. The three techniques were used to accurately measure RST and VTN in their binary formulations and physically mixed solutions, and the results were statistically compared to the previously published HPLC technique. The outstanding recovery achieved by using the authentic standard addition approach validated the methods’ supplemental accurateness. The Analytical Greenness and Red Green Blue procedures verified the eco-friendliness of the suggested UV spectroscopic approaches, which were also found to be superior to the documented HPLC methods.
1 Introduction
Worldwide more than a billion people are suffering from high blood pressure; further, this number is increasing, making the major chronic disease responsible for high morbidity and mortality. Heart attack, myocardial infarction, and stroke are merely some of the cardiovascular problems that are caused by hypertension [1,2,3]. Valsartan chemically (2S)-3-methyl-2-[pentanoyl-[[4-[2-(2H-tetrazol-5-yl)phenyl]phenyl]methyl]amino] butanoic acid (VTN, Figure 1a), an angiotensin II (ANG II) receptor type 1 inhibitor, prescribed for the management of hypertension and other cardiovascular complications. Valsartan lowers blood pressure by resisting the vasoconstriction and aldosterone-secreting effects of ANG II, by specifically preventing ANG II from binding to the angiotensin 1 receptor in vascular smooth muscle [4].

Structural formula of valsartan (a) and rosuvastatin calcium (b).
Dyslipidemia is an increased amount of low-density cholesterol and triglycerides and a decline in high-density cholesterol, which causes deposing and hardening of arteries. Hence, controlling the blood pressure and maintaining the normal lipid profile are essential to reduce cardiovascular disorders [5].
Rosuvastatin, chemically 3R,5S,6E)-7-[4-(4-Fluorophenyl)-6-isopropyl-2-[methyl (methylsulfonyl)amino]pyrimidin-5-yl])-3,5-dihydroxyhept-6-enoicacid hemicalcium salt (RST, Figure 1b), is an orally active lipid-lowering statin used for the treatment of cardiovascular diseases produced due to hypercholesterolemia and mixed dyslipidemia. In the liver, it inhibits the formation of cholesterol by inhibiting the creation of mevalonic acid from 3-hydroxy-3-methyl-glutaryl coenzyme A, a limiting step of the cholesterol synthesis. This enhances the catabolism of low-density protein (LDP) by increasing the LDP receptor on the hepatic cell membranes, thus reducing the concentration of LDP and very low-density lipoprotein in the blood [6,7,8].
A binary mixture of valsartan and rosuvastatin proved effective in reducing hypertension and hyperlipidemia to control cardiovascular complications [9].
Owing to the medication of choice’s extreme importance, numerous analytical techniques have been developed for the identification of VTN and RST, both on their own and in combination with other medications. Upon examining the available literature, it was observed that the majority of methods mentioned for the quantification of VTN are spectrophotometric [10,11], spectrofluorometric [12], and HPLC procedures [13,14,15,16,17,18]. Other methods reported are the determination of the most common impurities present in the sartans along with the VTN using liquid or gas chromatography with a mass detector. The reported methods for the analysis of RST and its impurities include HPLC and UPLC [19,20,21,22]. The estimation of RST along with other cardiovascular agents comprises spectrophotometric [23,24,25,26], HPTLC [27], HPLC [28,29,30], and UPLC [31,32] procedures in medicines and physiological samples.
Dyade and Sawant established HPLC methods for the concurrent estimation of VTN and RST from the formulation [33] and plasma [34]. However, there is currently no published spectroscopic technique for the determination of VTN and RST simultaneously from formulations. Spectrophotometric methods of analysis are simple, accurate, and most extensively used analytical methods, due to their eco-friendly and economical nature compared to liquid chromatographic technique. A maximum number of pharmaceutical compounds show incredible UV absorption owing to aromatic or hetero-aromatic structures, making easy analysis of mono medicine formulations. However, direct analysis of multicomponent formulations showing overlapped spectra is difficult without chemical separation. Further, different spectral manipulation techniques using soft wares are established for the concurrent quantification of medicines with several drugs by separating only the spectra [35,36,37,38,39].
The mathematically manipulated spectrophotometric assay technique, which is widely available in most analytical laboratories, offers high simplicity, quick analysis, and minimal use of organic solvents, eliminates sample pretreatment processes, and is inexpensive. Analytical Greenness (AGREE) [38,39,40] and White Analytical Chemistry, Red Green Blue (RGB) [38,41,42] tools were used to assess the greenness and whiteness of the spectroscopic techniques, respectively. This focuses our attention on creating an affordable, safe for the environment, straightforward, sensitive UV spectroscopic technique for concurrently determining the compounds under investigation. The proposed environmentally friendly UV spectroscopic techniques have been validated and used to ensure the quality of the mixture made in the lab and the VTN and RST binary formulation.
2 Experimental methods
2.1 Materials and reagents
Authentic standards rosuvastatin calcium (99.5%) and valsartan (99.2%) have been secured from Biokemix India Limited (Hyderabad, India). RST 20 mg (Rosuvas 20) and 40 mg (Rosuvas 40) tables a product of Sun Pharmaceutical Industries Limited and valsartan 80 mg (Diovan 80 mg) and 160 mg (Diovan 160) tablets a products of Novartis India Limited were purchased at the native medical store. Ethanol (99.9%) analytical grade has been acquired from Scharlau (Sentimenat Spain).
2.2 Instrument and software
UV–Vis spectrophotometer (Shimadzu 1700, Tokyo, Japan) was utilized for recording the absorption spectra of analytes. The spectrophotometer was connected to a PC installed with UVProbe 2.21 software. Two similar 1 cm quartz cuvettes have been utilized to scan blank and compound solutions. A spectrophotometer has been set for rapid scanning with a sampling interval of 0.1 nm and an opening breadth of 2 nm.
2.3 Preparation of authentic standard solutions
A perfectly measured 50 mg of RST and VTN has been dissolved using 25 ml of ethanol in a 50-ml volumetric flask. With ethanol, the remaining proportion was brought up to the 50 ml threshold. The operational authentic solutions were arranged using previous solutions by adding distilled water. The refrigerator was used to keep the solutions and thawed to room temperature before use.
2.4 Procedure for the calibration curve
2.4.1 Zero and first derivative spectroscopic method (0D and 1D methods)
The calibration curve for RST was prepared using 1–30 µg/ml solutions by transferring an accurate quantity of RST standard solution. The solutions were scanned in the range of 200–400 nm, and absorption was determined at 310 nm and plotted against the corresponding quantity of RST. The calibration curve for VTN was prepared using 2–25 µg/ml solutions by transferring the required quantity of VTN authentic solution. The solutions were exposed to absorption and subjected to derivatization of first order employing 4 nm as Δλ and an increment multiplier of 10. Apex magnitude was recorded at 223.8 nm and a straight line has been drawn against the corresponding concentration of VTN.
2.4.2 Ratio difference absorption (RDA) method
Authentic standards of RST and VTN in the concentration of 1–12 and 2–25 µg/ml were prepared separately by shifting the sufficient quantity of respective analyte solutions. Ultraviolet absorption spectra were obtained in the UV region. To obtain the ratio spectrum of RST, the absorption spectrum of 12 µg/ml VTN solution was utilized to divide the RST absorption spectra. The magnitude of the spectra at 343.6 nm was subtracted from 309.8 nm to find the peak magnitude difference and plotted against the corresponding concentration of RST. To get the ratio spectrum of VTN, the absorption spectrum of the 6 µg/ml solution of RST was utilized to divide the absorption spectra of VTN in a similar manner. The peak measurement at 245.2 nm was subtracted from the magnitude at 214.0 nm to find the peak magnitude variance and drawn against the corresponding concentration of VTN.
2.4.3 First derivative ratio spectra method (FDR)
Using 2 nm as Δλ and an increment coefficient of 10, the aforementioned documented ratio spectra have been derivatized into the first-order spectra. Apex magnitude has been computed at 302.6 and 231.5 nm from respective RST and VTN FDR spectra and plotted against corresponding concentrations of RST and VTN, respectively. Additionally, regression equation and coefficient of determination were generated.
2.5 Application to manually blended solutions
Manually blended solutions have been arranged by adding a sufficient quantity of standard solutions of RST and VTN to a 5 ml volumetric flask to get a final concentration of 6:25, 6:24, 5:24, 3:12, and 10:20 µg/ml. After going through the scanning across 200 and 400 nm, the outcomes have been retained in the computer. Employing the aforementioned approach, first-order, ratio, and first-derivative ratio spectra was produced, and the appropriate equations of the straight line were used to calculate the quantities of RST and VTN.
2.6 Application to pharmaceutical sample
A combined formulation containing RST and VTN was not available in the local market; hence, a formulation containing RST 20 + VTN 80 mg and RST 40 + VTN 160 mg has been arranged by combining the tablet powder of RST and VTN. The median mass of the 20 RST and VTN tablets was determined by weighing each one carefully. RST 20 mg and VTN 80 mg tablets were powdered together and mixed properly and 10 ml of ethanol had been utilized to dissolve the tablet mixture, equal to 2 mg of RST and 8 mg of VTN. Similarly, a sample solution was prepared from RST 40 mg and VTN 160 mg tablets. To achieve the concentration of the aforementioned solutions within the straight line, they were further attenuated by water, and the absorbance spectra were taken between 200 and 400 nm in wavelength. Using the above-described approach, first-order, ratio, and first-order ratio spectra were produced, and the appropriate straight-line formulas were used to calculate the quantities of RST and VTN.
3 Results and discussion
Both the analytes RST and VTN are highly aromatic structure and hence showed a complete overlap of UV absorption spectra between 200 and 300 nm (Figure 2). Unfortunately, it was challenging and difficult to quantify both analytes using the simple UV absorption approach. Hence, different UV absorption manipulation techniques such as derivatization, and generation of ratio spectra was adopted for the simultaneous quantification of analytes under investigation.

UV absorption spectra of VTN (red) and RST (blue).
3.1 Zero and first derivative absorption method
It is evident from Figure 2 that RST showed good absorption after 300 nm, whereas VTN had no absorption; hence, RST was quantified by gauging the apex magnitude at 310 nm (Figure 3a). However, VTN showed complete overlap with the RST absorption spectra; hence, the first-order derivatization technique of zero intersection point [35,36,37] was implemented for the quantification of VTN. The apex magnitude of first-order spectra of the mixture measured at zero intersection of one of the compounds represents the absorption of another compound. The first derivative spectra of VTN showed three wavelength points 290.4, 242.8, and 223.8 nm at which RST had zero absorption (Figure 3b). However, the peak magnitude of VTN at wavelength 223.8 nm showed a good linearity range and the peak amplitude and reproducibility were better. 2, 4, and 8 nm have been envisaged as Δλ during the transformation of VTN zero-order spectra into first derivative spectra, with 2 nm, the first-order spectra showed noise, whereas with 8 nm the specificity was low. In addition, scaling factor 10 provided good peak intensity even at low concentrations. Further, a series of VTN solution spectra were recorded between 200 and 400 nm and altered into first derivative spectra by means of 4 nm as Δλ along with multiplication coefficient 10. Apex magnitude at 223.8 nm was measured and plotted against the concentration of VTN. The individual and combination first derivative spectra with identical quantities of VTN revealed the same peak magnitude at 223.8 nm.

Normal zero order spectra of RST (1–30 µg/ml) (a) and first-order derivative spectra of VTN (2–25 µg/ml) (b).
3.2 Ratio spectra absorption difference method
Apex magnitude discrepancy measurements at two preferred wavelengths of the ratio spectrum are a well-established technique for the quantification of multicomponent formulation showing completely overlapped UV absorption spectra [38,39]. Ratio spectra is generated by division of the combined spectra by one compound spectrum, which eliminates the divisor component allowing quantifying another component of the mixture. The selection of divisor concentration has to be envisaged to get reproducible and accurate results. Different concentrations of RST and VGT were tried as divisor spectra, with low concentration the peak amplitude of ratio spectra was very high with high noise, whereas with high concentration peak height was less with less noise spectrum. However, the 6 µg/ml solution spectrum of RST and the 12 µg/ml solution spectrum of VTN produced good, reproducible ratio spectra. A 4 nm had been preferred as Δλ to smoothen the ratio spectra. An array of RST spectra ranging from 1 to 12 µg/ml has been divided by the 12 µg/ml VTN solution spectrum, to generate ratio spectra of RST (Figure 4a). In the same manner, to create ratio spectra of VTN, a range of VTN spectra between 2 and 25 µg/ml had to be divided by the RST solution spectrum containing 6 µg/ml (Figure 4b).

Ratio spectra of RST (1–12 µg/ml) using 12 µg/ml VTN spectrum as divisor (a). Ratio spectra of VTN (2–25 µg/ml) using 6 µg/ml RST spectrum as divisor (b). Comparison of ratio spectra of mixture (red) and pure (blue) RST (c) and VTN (d).
A mixture’s ratio spectrum usually shows up at a higher level than the baseline when compared to the ratio spectra of individual analytes. However, the magnitude variance at selected two wavelengths of ratio spectra of the mixture and pure remains the same. The two wavelengths selected were at 343.6 and 309.8 nm for RST ratio spectra, whereas 214.0 and 245.2 nm for VTN ratio spectra. The amplitude difference was determined and outlined in relation to the relevant concentration of RST (Figure 4c) and VTN (Figure 4d) to generate calibration curves. Further, the individual and combination ratio spectra with identical quantities of analytes revealed the same magnitude difference.
3.3 First derivative of the ratio spectra method
Derivatization of normal spectra enhances the resolution of overlapped spectra and eliminates unnecessary background absorption along with an increase in sensitivity and selectivity [37,38,39]. In this study, the ratio spectra of combination and pure can be converted to first derivative spectra to eradicate the effect of one of the analytes. Further derivatization provides many satellite peaks and refractory dips which can be utilized for quantification of analytes. The first derivative spectra of RST (Figure 5a) displayed three satellite peaks at 237.4, 297.6, and 302.6 nm and five refractory dips at 314.2, 323.4, 327.7, 333.9, and 339.9 nm. The ratio first-order derivatization spectrum of VTN (Figure 5b) revealed two satellite peaks at 207.2 and 251.7 nm and five refractory dips at 217.4, 231.3, 270.3, and 283.3 nm. However, satellite peaks 302.6 and 231.5 nm of RST and VTN, respectively, demonstrated high reproducibility and accuracy hence selected for further analysis. The individual and combination first derivative spectra with identical quantities of RST (Figure 5c) and VTN (Figure 5d) revealed the same peak magnitude.

First derivative of ratio spectra of RST (1–12 µg/ml) using 12 µg/ml VTN spectrum as divisor (a). First derivative of ratio spectra of VTN (2–25 µg/ml) using 6 µg/ml RST spectrum as divisor (b). Comparison of the first derivative of ratio spectra of mixture (red) and pure (blue) RST (c) and VTN (d).
3.4 Validation of UV spectroscopic methods
3.4.1 Straight line and sensitivity
Using the established UV spectroscopic approaches, both analytes have been evaluated for the setting up of a straight line and the linearity range for all three methods was 1–30 and 1–12 µg/ml for RST and 2–25 µg/ml for VTN. The straight-line fitting formula correlation coefficients and other validation factors are tabulated (Table 1). By calculating the limit of detection and quantification implementing the International Conference of Harmonization recommendations, the sensitivity of the offered approaches has been investigated. The LOD had been computed via 3.3 times of ratio of slope to the standard deviation of intercept, whereas LOQ was 10 times of ratio of slope to the standard deviation of intercept. The linearity range and LOQ remained sufficient enough for the determination of the analytes from the formulations (Table 1).
Outcomes of validation features for RST and VTN
Factors | 0D and 1D spectra method | RDA | FDR | |||
---|---|---|---|---|---|---|
Analytes | RST | VTN | RST | VTN | RST | VTN |
Wavelength (nm) | 310.0 | 223.8 | 309.8–343.6 | 214.0–245.2 | 302.6 | 231.5 |
Linearity (µg/ml) | 1–30 | 2–25 | 1–12 | 2–25 | 1–12 | 2–25 |
LOD (µg/ml) | 0.22 | 0.47 | 0.24 | 0.39 | 0.31 | 0.59 |
LOQ (µg/ml) | 0.65 | 1.46 | 0.71 | 1.15 | 0.94 | 1.78 |
Slop | 0.010 | 0.011 | 4.797 | 0.370 | 3.147 | 0.246 |
Intercept | 0.002 | 0.004 | 1.519 | 0.225 | 1.766 | 0.172 |
Correlation coefficient (r 2) | 0.9996 | 0.9996 | 0.9997 | 0.9999 | 0.9989 | 0.9998 |
Accuracy (mean % ± RSE) | 98.94 ± 1.17 | 100.62 ± 1.42 | 99.55 ± 0.86 | 101.08 ± 0.92 | 99.39 ± 1.43 | 100.36 ± 0.75 |
Precision (%RSD) | ||||||
Repeatability | 1.82 | 1.37 | 1.07 | 0.97 | 0.83 | 1.46 |
Within day | 0.95 | 0.73 | 1.22 | 1.13 | 1.43 | 1.28 |
Between days | 1.09 | 0.86 | 1.47 | 1.51 | 1.04 | 1.91 |
RSE: relative standard error; RSD: relative standard deviation.
3.4.2 Precision and accuracy
The precision indicates the repeatability and reproducibility of the analytical techniques, which were confirmed by determining the %RSD of six determinations of analytes at three different concentrations. The %RSD did not surpass 1.82, 1.47, and 1.43% for RST and 1.37, 1.51, and 1.91% for VTN by all three methods, which fall comfortably between the permissible limit. The correctness confirms the correctness of the determination of analytes which was assessed by determining the % retrieval beside the percentage of comparative error. The % recovery of both the analytes in the above three concentration solutions ranged from 98.94–99.95% to 100.36–101.08% for RST and VTN, respectively. Furthermore, the low %RE of 0.86–1.43% and 0.75–1.42% for RST and VTN confirm the correctness of the measurements by the proposed methods.
3.5 Application to analysis of formulation and manual mixed solutions
The acceptable validation results of all three methods suggested the utilization of the offered approaches for the investigation of both analytes from the solid dosage form and manual mixed solutions. The solutions of diverse proportions of RST and VTN were analyzed using all three methods and the percent recovery values ranged between 98.67–101.46% and 98.34–101.47% for RST and VTN, respectively (Table 2). The mean retrieval of analytes from the formulation was between 98.47 and 101.16% and 98.83–101.09% for RST and VTN respectively with low %RE (Table 3). Furthermore, the accurateness of the anticipated techniques was further ascertained by the authentic analyte addition technique. The mean recovery of the added amount of RST and VTN was 99.41–100.09% and 99.62–100.82%, respectively (Table 4). This confirms the lack of intervention of adjuvants in the investigation of analytes. In addition, the compounds under investigation were analyzed using validated reported HPLC methods. The statistical comparison by Students’ t-test and F-test of both methods revealed no difference in the percentage recovery. The computed Students’ t-test and F-test outcomes are much lesser than the critical levels, confirming the lack of statistical dissimilarity in terms of accurateness and precision. These acceptable results allow pharmaceutical industries to utilize the proposed UV-spectrophotometric techniques for concurrent quantification of VTN and RST in pills on a regular basis for quality assurance.
Analysis results of the manually blended solutions
Manually mixed ratio (µg/mL−1) | 0D and 1D spectra method (% recovery) | RDA (% recovery) | FDR (% recovery) | |||
---|---|---|---|---|---|---|
RST:VTN | RST | VTN | RST | VTN | RST | VTN |
6:25 | 99.62 | 98.34 | 101.25 | 100.19 | 100.99 | 100.73 |
2:6 | 101.46 | 98.47 | 99.33 | 99.73 | 99.46 | 98.44 |
5:24 | 100.86 | 101.08 | 98.86 | 98.55 | 98.86 | 99.17 |
3:15 | 99.07 | 101.47 | 101.09 | 100.67 | 100.16 | 98.75 |
10:20 | 98.67 | 98.64 | 100.45 | 100.72 | 99.43 | 100.49 |
Across mean | 99.94 | 99.60 | 100.20 | 99.97 | 99.78 | 99.52 |
%RSD | 1.18 | 1.54 | 1.06 | 0.89 | 0.82 | 1.04 |
%RSD: %relative standard deviation.
Assay results of formulations and statistical comparison
Formulation (mg Tablet-1) | 0D and 1D spectra (mean % ± SD) | RDA (mean % ± SD) | FDR (mean % ± SD) | Reference method [33] | ||||
---|---|---|---|---|---|---|---|---|
RST:VTN | RST | VTN | RST | VTN | RST | VTN | RST | VTN |
2:8 | 99.04 ± 1.72 | 100.73 ± 0.95 | 101.16 ± 0.78 | 98.83 ± 0.82 | 99.61 ± 0.49 | 101.09 ± 1.37 | 100.47 ± 0.82 | 101.34 ± 1.55 |
4:16 | 98.47 ± 0.86 | 99.62 ± 1.46 | 101.07 ± 0.91 | 100.94 ± 1.05 | 101.15 ± 1.34 | 99.68 ± 1.19 | 101.64 ± 1.35 | 99.18 ± 0.94 |
dfa | 10 | 10 | 10 | 10 | 10 | 10 | ||
Student’s t-testb | 0.157 | 0.907 | 0.219 | 1.396 | 0.881 | 0.389 | ||
p-value | 0.877 | 0.385 | 0.830 | 0.192 | 0.398 | 0.704 | ||
F-testc | 1.929 | 1.099 | 1.307 | 2.400 | 1.223 | 1.601 | ||
p-value | 0.244 | 0.460 | 0.387 | 0.179 | 0.415 | 0.308 |
HPLC separation was carried out on C18 RP-HPLC column using acetonitrile: water (pH 4.8) 75%:25%, Flow rate 1.0 ml/min. Wavelength 245 nm.
a Degrees of freedom.
b t-test Critical value 2.228.
c F-test critical value 5.050 (at p = 0.05).
Outcomes of authentic drug addition technique
Amount added (µg/mL−1) | 0D and 1D spectra (% recovery) | RDA (% recovery) | FDR (% recovery) | |||
---|---|---|---|---|---|---|
RST:VTN | RST | VTN | RST | VTN | RST | VTN |
1:4 | 99.56 | 99.37 | 99.12 | 100.86 | 98.82 | 98.46 |
2:8 | 101.07 | 100.79 | 101.55 | 99.72 | 99.06 | 100.77 |
3:12 | 99.64 | 98.69 | 98.62 | 101.88 | 100.35 | 99.91 |
Across mean | 100.09 | 99.62 | 99.76 | 100.82 | 99.41 | 99.71 |
%RSD | 0.85 | 1.07 | 1.57 | 1.08 | 0.82 | 1.17 |
3.6 Evaluation of environmental safety of the methods
The UV spectroscopic method is a green-and-white analytical technique due to its rapid analysis nature and use of safe and small quantities of solvents. Further to confirm the greenness and whiteness of the proposed techniques three quantitative eco-friendly nature evaluation tools were applied. The greenness was evaluated using AGREE and whiteness by the GRB method. The UV spectroscopic method pictogram of AGREE evaluation tool showed green with an overall value of 0.8 (Figure 6a), whereas the HPLC method [33] was yellowish green with an overall value of 0.65 (Figure 6b), indicating that the UV spectroscopic method was greener than the HPLC method due to the use of safer solvents, and lesser waste formation during the analysis process. The UV spectroscopic method pictogram of the GRB evaluation tool showed white with an overall value of 98.1 (Figure 6c), whereas HPLC method was gray with an overall value of 85.8 (Figure 6d), indicating that the UV spectroscopic method was safer than the HPLC method. In terms of scope, HPLC is better than UV; however, the safety, ease of operation, waste generation, cost, and time efficiency UV spectroscopic method are better.

Greenness 6 (a and b) and whiteness (c and d) evaluation results of proposed UV spectroscopic (a and c) and HPLC (b and d) methods.
4 Conclusions
This study depicted the development of three easy mathematically manipulated UV spectroscopic methods for the estimation of RST and VTN from formulations and manually prepared solutions. These methods involved simple steps of mathematical filtration using the software provided with the instrument, hence economical and rapid. Further, the methods are highly accurate, reproducible, sensitive, and applicable to formulations and laboratory mixed solutions. The evaluation of findings against the stated HPLC techniques confirmed the statistical nonsignificance in terms of accurateness and precision. Furthermore, the offered approaches follow the green and white analytical principles to make the methods eco-friendly. In summary, the proposed UV spectroscopic techniques were easy, rapid, green, and white analytical techniques for analysis of RST and VTN for regular quantification in formulations.
Acknowledgments
The authors are thankful to the Deanship of Scientific Research, King Faisal University, Al-Ahsa, Saudi Arabia, for the support.
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Funding information: This work was supported through the Annual Funding track by the Deanship of Scientific Research, Vice Presidency for Graduate Studies and Scientific Research, King Faisal University, Al Ahsa, Saudi Arabia (Project No. GrantA235).
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Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.
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Conflict of interest: The authors state no conflict of interest.
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Data availability statement: All data generated or analyzed during this study are included in this published article.
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Articles in the same Issue
- Regular Articles
- Numerical study of flow and heat transfer in the channel of panel-type radiator with semi-detached inclined trapezoidal wing vortex generators
- Homogeneous–heterogeneous reactions in the colloidal investigation of Casson fluid
- High-speed mid-infrared Mach–Zehnder electro-optical modulators in lithium niobate thin film on sapphire
- Numerical analysis of dengue transmission model using Caputo–Fabrizio fractional derivative
- Mononuclear nanofluids undergoing convective heating across a stretching sheet and undergoing MHD flow in three dimensions: Potential industrial applications
- Heat transfer characteristics of cobalt ferrite nanoparticles scattered in sodium alginate-based non-Newtonian nanofluid over a stretching/shrinking horizontal plane surface
- The electrically conducting water-based nanofluid flow containing titanium and aluminum alloys over a rotating disk surface with nonlinear thermal radiation: A numerical analysis
- Growth, characterization, and anti-bacterial activity of l-methionine supplemented with sulphamic acid single crystals
- A numerical analysis of the blood-based Casson hybrid nanofluid flow past a convectively heated surface embedded in a porous medium
- Optoelectronic–thermomagnetic effect of a microelongated non-local rotating semiconductor heated by pulsed laser with varying thermal conductivity
- Thermal proficiency of magnetized and radiative cross-ternary hybrid nanofluid flow induced by a vertical cylinder
- Enhanced heat transfer and fluid motion in 3D nanofluid with anisotropic slip and magnetic field
- Numerical analysis of thermophoretic particle deposition on 3D Casson nanofluid: Artificial neural networks-based Levenberg–Marquardt algorithm
- Analyzing fuzzy fractional Degasperis–Procesi and Camassa–Holm equations with the Atangana–Baleanu operator
- Bayesian estimation of equipment reliability with normal-type life distribution based on multiple batch tests
- Chaotic control problem of BEC system based on Hartree–Fock mean field theory
- Optimized framework numerical solution for swirling hybrid nanofluid flow with silver/gold nanoparticles on a stretching cylinder with heat source/sink and reactive agents
- Stability analysis and numerical results for some schemes discretising 2D nonconstant coefficient advection–diffusion equations
- Convective flow of a magnetohydrodynamic second-grade fluid past a stretching surface with Cattaneo–Christov heat and mass flux model
- Analysis of the heat transfer enhancement in water-based micropolar hybrid nanofluid flow over a vertical flat surface
- Microscopic seepage simulation of gas and water in shale pores and slits based on VOF
- Model of conversion of flow from confined to unconfined aquifers with stochastic approach
- Study of fractional variable-order lymphatic filariasis infection model
- Soliton, quasi-soliton, and their interaction solutions of a nonlinear (2 + 1)-dimensional ZK–mZK–BBM equation for gravity waves
- Application of conserved quantities using the formal Lagrangian of a nonlinear integro partial differential equation through optimal system of one-dimensional subalgebras in physics and engineering
- Nonlinear fractional-order differential equations: New closed-form traveling-wave solutions
- Sixth-kind Chebyshev polynomials technique to numerically treat the dissipative viscoelastic fluid flow in the rheology of Cattaneo–Christov model
- Some transforms, Riemann–Liouville fractional operators, and applications of newly extended M–L (p, s, k) function
- Magnetohydrodynamic water-based hybrid nanofluid flow comprising diamond and copper nanoparticles on a stretching sheet with slips constraints
- Super-resolution reconstruction method of the optical synthetic aperture image using generative adversarial network
- A two-stage framework for predicting the remaining useful life of bearings
- Influence of variable fluid properties on mixed convective Darcy–Forchheimer flow relation over a surface with Soret and Dufour spectacle
- Inclined surface mixed convection flow of viscous fluid with porous medium and Soret effects
- Exact solutions to vorticity of the fractional nonuniform Poiseuille flows
- In silico modified UV spectrophotometric approaches to resolve overlapped spectra for quality control of rosuvastatin and teneligliptin formulation
- Numerical simulations for fractional Hirota–Satsuma coupled Korteweg–de Vries systems
- Substituent effect on the electronic and optical properties of newly designed pyrrole derivatives using density functional theory
- A comparative analysis of shielding effectiveness in glass and concrete containers
- Numerical analysis of the MHD Williamson nanofluid flow over a nonlinear stretching sheet through a Darcy porous medium: Modeling and simulation
- Analytical and numerical investigation for viscoelastic fluid with heat transfer analysis during rollover-web coating phenomena
- Influence of variable viscosity on existing sheet thickness in the calendering of non-isothermal viscoelastic materials
- Analysis of nonlinear fractional-order Fisher equation using two reliable techniques
- Comparison of plan quality and robustness using VMAT and IMRT for breast cancer
- Radiative nanofluid flow over a slender stretching Riga plate under the impact of exponential heat source/sink
- Numerical investigation of acoustic streaming vortices in cylindrical tube arrays
- Numerical study of blood-based MHD tangent hyperbolic hybrid nanofluid flow over a permeable stretching sheet with variable thermal conductivity and cross-diffusion
- Fractional view analytical analysis of generalized regularized long wave equation
- Dynamic simulation of non-Newtonian boundary layer flow: An enhanced exponential time integrator approach with spatially and temporally variable heat sources
- Inclined magnetized infinite shear rate viscosity of non-Newtonian tetra hybrid nanofluid in stenosed artery with non-uniform heat sink/source
- Estimation of monotone α-quantile of past lifetime function with application
- Numerical simulation for the slip impacts on the radiative nanofluid flow over a stretched surface with nonuniform heat generation and viscous dissipation
- Study of fractional telegraph equation via Shehu homotopy perturbation method
- An investigation into the impact of thermal radiation and chemical reactions on the flow through porous media of a Casson hybrid nanofluid including unstable mixed convection with stretched sheet in the presence of thermophoresis and Brownian motion
- Establishing breather and N-soliton solutions for conformable Klein–Gordon equation
- An electro-optic half subtractor from a silicon-based hybrid surface plasmon polariton waveguide
- CFD analysis of particle shape and Reynolds number on heat transfer characteristics of nanofluid in heated tube
- Abundant exact traveling wave solutions and modulation instability analysis to the generalized Hirota–Satsuma–Ito equation
- A short report on a probability-based interpretation of quantum mechanics
- Study on cavitation and pulsation characteristics of a novel rotor-radial groove hydrodynamic cavitation reactor
- Optimizing heat transport in a permeable cavity with an isothermal solid block: Influence of nanoparticles volume fraction and wall velocity ratio
- Linear instability of the vertical throughflow in a porous layer saturated by a power-law fluid with variable gravity effect
- Thermal analysis of generalized Cattaneo–Christov theories in Burgers nanofluid in the presence of thermo-diffusion effects and variable thermal conductivity
- A new benchmark for camouflaged object detection: RGB-D camouflaged object detection dataset
- Effect of electron temperature and concentration on production of hydroxyl radical and nitric oxide in atmospheric pressure low-temperature helium plasma jet: Swarm analysis and global model investigation
- Double diffusion convection of Maxwell–Cattaneo fluids in a vertical slot
- Thermal analysis of extended surfaces using deep neural networks
- Steady-state thermodynamic process in multilayered heterogeneous cylinder
- Multiresponse optimisation and process capability analysis of chemical vapour jet machining for the acrylonitrile butadiene styrene polymer: Unveiling the morphology
- Modeling monkeypox virus transmission: Stability analysis and comparison of analytical techniques
- Fourier spectral method for the fractional-in-space coupled Whitham–Broer–Kaup equations on unbounded domain
- The chaotic behavior and traveling wave solutions of the conformable extended Korteweg–de-Vries model
- Research on optimization of combustor liner structure based on arc-shaped slot hole
- Construction of M-shaped solitons for a modified regularized long-wave equation via Hirota's bilinear method
- Effectiveness of microwave ablation using two simultaneous antennas for liver malignancy treatment
- Discussion on optical solitons, sensitivity and qualitative analysis to a fractional model of ion sound and Langmuir waves with Atangana Baleanu derivatives
- Reliability of two-dimensional steady magnetized Jeffery fluid over shrinking sheet with chemical effect
- Generalized model of thermoelasticity associated with fractional time-derivative operators and its applications to non-simple elastic materials
- Migration of two rigid spheres translating within an infinite couple stress fluid under the impact of magnetic field
- A comparative investigation of neutron and gamma radiation interaction properties of zircaloy-2 and zircaloy-4 with consideration of mechanical properties
- New optical stochastic solutions for the Schrödinger equation with multiplicative Wiener process/random variable coefficients using two different methods
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- Smart mathematically filtered UV spectroscopic methods for quality assurance of rosuvastatin and valsartan from formulation
- A novel investigation into time-fractional multi-dimensional Navier–Stokes equations within Aboodh transform
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Articles in the same Issue
- Regular Articles
- Numerical study of flow and heat transfer in the channel of panel-type radiator with semi-detached inclined trapezoidal wing vortex generators
- Homogeneous–heterogeneous reactions in the colloidal investigation of Casson fluid
- High-speed mid-infrared Mach–Zehnder electro-optical modulators in lithium niobate thin film on sapphire
- Numerical analysis of dengue transmission model using Caputo–Fabrizio fractional derivative
- Mononuclear nanofluids undergoing convective heating across a stretching sheet and undergoing MHD flow in three dimensions: Potential industrial applications
- Heat transfer characteristics of cobalt ferrite nanoparticles scattered in sodium alginate-based non-Newtonian nanofluid over a stretching/shrinking horizontal plane surface
- The electrically conducting water-based nanofluid flow containing titanium and aluminum alloys over a rotating disk surface with nonlinear thermal radiation: A numerical analysis
- Growth, characterization, and anti-bacterial activity of l-methionine supplemented with sulphamic acid single crystals
- A numerical analysis of the blood-based Casson hybrid nanofluid flow past a convectively heated surface embedded in a porous medium
- Optoelectronic–thermomagnetic effect of a microelongated non-local rotating semiconductor heated by pulsed laser with varying thermal conductivity
- Thermal proficiency of magnetized and radiative cross-ternary hybrid nanofluid flow induced by a vertical cylinder
- Enhanced heat transfer and fluid motion in 3D nanofluid with anisotropic slip and magnetic field
- Numerical analysis of thermophoretic particle deposition on 3D Casson nanofluid: Artificial neural networks-based Levenberg–Marquardt algorithm
- Analyzing fuzzy fractional Degasperis–Procesi and Camassa–Holm equations with the Atangana–Baleanu operator
- Bayesian estimation of equipment reliability with normal-type life distribution based on multiple batch tests
- Chaotic control problem of BEC system based on Hartree–Fock mean field theory
- Optimized framework numerical solution for swirling hybrid nanofluid flow with silver/gold nanoparticles on a stretching cylinder with heat source/sink and reactive agents
- Stability analysis and numerical results for some schemes discretising 2D nonconstant coefficient advection–diffusion equations
- Convective flow of a magnetohydrodynamic second-grade fluid past a stretching surface with Cattaneo–Christov heat and mass flux model
- Analysis of the heat transfer enhancement in water-based micropolar hybrid nanofluid flow over a vertical flat surface
- Microscopic seepage simulation of gas and water in shale pores and slits based on VOF
- Model of conversion of flow from confined to unconfined aquifers with stochastic approach
- Study of fractional variable-order lymphatic filariasis infection model
- Soliton, quasi-soliton, and their interaction solutions of a nonlinear (2 + 1)-dimensional ZK–mZK–BBM equation for gravity waves
- Application of conserved quantities using the formal Lagrangian of a nonlinear integro partial differential equation through optimal system of one-dimensional subalgebras in physics and engineering
- Nonlinear fractional-order differential equations: New closed-form traveling-wave solutions
- Sixth-kind Chebyshev polynomials technique to numerically treat the dissipative viscoelastic fluid flow in the rheology of Cattaneo–Christov model
- Some transforms, Riemann–Liouville fractional operators, and applications of newly extended M–L (p, s, k) function
- Magnetohydrodynamic water-based hybrid nanofluid flow comprising diamond and copper nanoparticles on a stretching sheet with slips constraints
- Super-resolution reconstruction method of the optical synthetic aperture image using generative adversarial network
- A two-stage framework for predicting the remaining useful life of bearings
- Influence of variable fluid properties on mixed convective Darcy–Forchheimer flow relation over a surface with Soret and Dufour spectacle
- Inclined surface mixed convection flow of viscous fluid with porous medium and Soret effects
- Exact solutions to vorticity of the fractional nonuniform Poiseuille flows
- In silico modified UV spectrophotometric approaches to resolve overlapped spectra for quality control of rosuvastatin and teneligliptin formulation
- Numerical simulations for fractional Hirota–Satsuma coupled Korteweg–de Vries systems
- Substituent effect on the electronic and optical properties of newly designed pyrrole derivatives using density functional theory
- A comparative analysis of shielding effectiveness in glass and concrete containers
- Numerical analysis of the MHD Williamson nanofluid flow over a nonlinear stretching sheet through a Darcy porous medium: Modeling and simulation
- Analytical and numerical investigation for viscoelastic fluid with heat transfer analysis during rollover-web coating phenomena
- Influence of variable viscosity on existing sheet thickness in the calendering of non-isothermal viscoelastic materials
- Analysis of nonlinear fractional-order Fisher equation using two reliable techniques
- Comparison of plan quality and robustness using VMAT and IMRT for breast cancer
- Radiative nanofluid flow over a slender stretching Riga plate under the impact of exponential heat source/sink
- Numerical investigation of acoustic streaming vortices in cylindrical tube arrays
- Numerical study of blood-based MHD tangent hyperbolic hybrid nanofluid flow over a permeable stretching sheet with variable thermal conductivity and cross-diffusion
- Fractional view analytical analysis of generalized regularized long wave equation
- Dynamic simulation of non-Newtonian boundary layer flow: An enhanced exponential time integrator approach with spatially and temporally variable heat sources
- Inclined magnetized infinite shear rate viscosity of non-Newtonian tetra hybrid nanofluid in stenosed artery with non-uniform heat sink/source
- Estimation of monotone α-quantile of past lifetime function with application
- Numerical simulation for the slip impacts on the radiative nanofluid flow over a stretched surface with nonuniform heat generation and viscous dissipation
- Study of fractional telegraph equation via Shehu homotopy perturbation method
- An investigation into the impact of thermal radiation and chemical reactions on the flow through porous media of a Casson hybrid nanofluid including unstable mixed convection with stretched sheet in the presence of thermophoresis and Brownian motion
- Establishing breather and N-soliton solutions for conformable Klein–Gordon equation
- An electro-optic half subtractor from a silicon-based hybrid surface plasmon polariton waveguide
- CFD analysis of particle shape and Reynolds number on heat transfer characteristics of nanofluid in heated tube
- Abundant exact traveling wave solutions and modulation instability analysis to the generalized Hirota–Satsuma–Ito equation
- A short report on a probability-based interpretation of quantum mechanics
- Study on cavitation and pulsation characteristics of a novel rotor-radial groove hydrodynamic cavitation reactor
- Optimizing heat transport in a permeable cavity with an isothermal solid block: Influence of nanoparticles volume fraction and wall velocity ratio
- Linear instability of the vertical throughflow in a porous layer saturated by a power-law fluid with variable gravity effect
- Thermal analysis of generalized Cattaneo–Christov theories in Burgers nanofluid in the presence of thermo-diffusion effects and variable thermal conductivity
- A new benchmark for camouflaged object detection: RGB-D camouflaged object detection dataset
- Effect of electron temperature and concentration on production of hydroxyl radical and nitric oxide in atmospheric pressure low-temperature helium plasma jet: Swarm analysis and global model investigation
- Double diffusion convection of Maxwell–Cattaneo fluids in a vertical slot
- Thermal analysis of extended surfaces using deep neural networks
- Steady-state thermodynamic process in multilayered heterogeneous cylinder
- Multiresponse optimisation and process capability analysis of chemical vapour jet machining for the acrylonitrile butadiene styrene polymer: Unveiling the morphology
- Modeling monkeypox virus transmission: Stability analysis and comparison of analytical techniques
- Fourier spectral method for the fractional-in-space coupled Whitham–Broer–Kaup equations on unbounded domain
- The chaotic behavior and traveling wave solutions of the conformable extended Korteweg–de-Vries model
- Research on optimization of combustor liner structure based on arc-shaped slot hole
- Construction of M-shaped solitons for a modified regularized long-wave equation via Hirota's bilinear method
- Effectiveness of microwave ablation using two simultaneous antennas for liver malignancy treatment
- Discussion on optical solitons, sensitivity and qualitative analysis to a fractional model of ion sound and Langmuir waves with Atangana Baleanu derivatives
- Reliability of two-dimensional steady magnetized Jeffery fluid over shrinking sheet with chemical effect
- Generalized model of thermoelasticity associated with fractional time-derivative operators and its applications to non-simple elastic materials
- Migration of two rigid spheres translating within an infinite couple stress fluid under the impact of magnetic field
- A comparative investigation of neutron and gamma radiation interaction properties of zircaloy-2 and zircaloy-4 with consideration of mechanical properties
- New optical stochastic solutions for the Schrödinger equation with multiplicative Wiener process/random variable coefficients using two different methods
- Physical aspects of quantile residual lifetime sequence
- Synthesis, structure, I–V characteristics, and optical properties of chromium oxide thin films for optoelectronic applications
- Smart mathematically filtered UV spectroscopic methods for quality assurance of rosuvastatin and valsartan from formulation
- A novel investigation into time-fractional multi-dimensional Navier–Stokes equations within Aboodh transform
- Homotopic dynamic solution of hydrodynamic nonlinear natural convection containing superhydrophobicity and isothermally heated parallel plate with hybrid nanoparticles
- A novel tetra hybrid bio-nanofluid model with stenosed artery
- Propagation of traveling wave solution of the strain wave equation in microcrystalline materials
- Innovative analysis to the time-fractional q-deformed tanh-Gordon equation via modified double Laplace transform method
- A new investigation of the extended Sakovich equation for abundant soliton solution in industrial engineering via two efficient techniques
- New soliton solutions of the conformable time fractional Drinfel'd–Sokolov–Wilson equation based on the complete discriminant system method
- Irradiation of hydrophilic acrylic intraocular lenses by a 365 nm UV lamp
- Inflation and the principle of equivalence
- The use of a supercontinuum light source for the characterization of passive fiber optic components
- Optical solitons to the fractional Kundu–Mukherjee–Naskar equation with time-dependent coefficients
- A promising photocathode for green hydrogen generation from sanitation water without external sacrificing agent: silver-silver oxide/poly(1H-pyrrole) dendritic nanocomposite seeded on poly-1H pyrrole film
- Photon balance in the fiber laser model
- Propagation of optical spatial solitons in nematic liquid crystals with quadruple power law of nonlinearity appears in fluid mechanics
- Theoretical investigation and sensitivity analysis of non-Newtonian fluid during roll coating process by response surface methodology
- Utilizing slip conditions on transport phenomena of heat energy with dust and tiny nanoparticles over a wedge
- Bismuthyl chloride/poly(m-toluidine) nanocomposite seeded on poly-1H pyrrole: Photocathode for green hydrogen generation
- Infrared thermography based fault diagnosis of diesel engines using convolutional neural network and image enhancement
- On some solitary wave solutions of the Estevez--Mansfield--Clarkson equation with conformable fractional derivatives in time
- Impact of permeability and fluid parameters in couple stress media on rotating eccentric spheres
- Review Article
- Transformer-based intelligent fault diagnosis methods of mechanical equipment: A survey
- Special Issue on Predicting pattern alterations in nature - Part II
- A comparative study of Bagley–Torvik equation under nonsingular kernel derivatives using Weeks method
- On the existence and numerical simulation of Cholera epidemic model
- Numerical solutions of generalized Atangana–Baleanu time-fractional FitzHugh–Nagumo equation using cubic B-spline functions
- Dynamic properties of the multimalware attacks in wireless sensor networks: Fractional derivative analysis of wireless sensor networks
- Prediction of COVID-19 spread with models in different patterns: A case study of Russia
- Study of chronic myeloid leukemia with T-cell under fractal-fractional order model
- Accumulation process in the environment for a generalized mass transport system
- Analysis of a generalized proportional fractional stochastic differential equation incorporating Carathéodory's approximation and applications
- Special Issue on Nanomaterial utilization and structural optimization - Part II
- Numerical study on flow and heat transfer performance of a spiral-wound heat exchanger for natural gas
- Study of ultrasonic influence on heat transfer and resistance performance of round tube with twisted belt
- Numerical study on bionic airfoil fins used in printed circuit plate heat exchanger
- Improving heat transfer efficiency via optimization and sensitivity assessment in hybrid nanofluid flow with variable magnetism using the Yamada–Ota model
- Special Issue on Nanofluids: Synthesis, Characterization, and Applications
- Exact solutions of a class of generalized nanofluidic models
- Stability enhancement of Al2O3, ZnO, and TiO2 binary nanofluids for heat transfer applications
- Thermal transport energy performance on tangent hyperbolic hybrid nanofluids and their implementation in concentrated solar aircraft wings
- Studying nonlinear vibration analysis of nanoelectro-mechanical resonators via analytical computational method
- Numerical analysis of non-linear radiative Casson fluids containing CNTs having length and radius over permeable moving plate
- Two-phase numerical simulation of thermal and solutal transport exploration of a non-Newtonian nanomaterial flow past a stretching surface with chemical reaction
- Natural convection and flow patterns of Cu–water nanofluids in hexagonal cavity: A novel thermal case study
- Solitonic solutions and study of nonlinear wave dynamics in a Murnaghan hyperelastic circular pipe
- Comparative study of couple stress fluid flow using OHAM and NIM
- Utilization of OHAM to investigate entropy generation with a temperature-dependent thermal conductivity model in hybrid nanofluid using the radiation phenomenon
- Slip effects on magnetized radiatively hybridized ferrofluid flow with acute magnetic force over shrinking/stretching surface
- Significance of 3D rectangular closed domain filled with charged particles and nanoparticles engaging finite element methodology
- Robustness and dynamical features of fractional difference spacecraft model with Mittag–Leffler stability
- Characterizing magnetohydrodynamic effects on developed nanofluid flow in an obstructed vertical duct under constant pressure gradient
- Study on dynamic and static tensile and puncture-resistant mechanical properties of impregnated STF multi-dimensional structure Kevlar fiber reinforced composites
- Thermosolutal Marangoni convective flow of MHD tangent hyperbolic hybrid nanofluids with elastic deformation and heat source
- Investigation of convective heat transport in a Carreau hybrid nanofluid between two stretchable rotatory disks
- Single-channel cooling system design by using perforated porous insert and modeling with POD for double conductive panel
- Special Issue on Fundamental Physics from Atoms to Cosmos - Part I
- Pulsed excitation of a quantum oscillator: A model accounting for damping
- Review of recent analytical advances in the spectroscopy of hydrogenic lines in plasmas
- Heavy mesons mass spectroscopy under a spin-dependent Cornell potential within the framework of the spinless Salpeter equation
- Coherent manipulation of bright and dark solitons of reflection and transmission pulses through sodium atomic medium
- Effect of the gravitational field strength on the rate of chemical reactions
- The kinetic relativity theory – hiding in plain sight
- Special Issue on Advanced Energy Materials - Part III
- Eco-friendly graphitic carbon nitride–poly(1H pyrrole) nanocomposite: A photocathode for green hydrogen production, paving the way for commercial applications