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Journal <strong>of</strong> the Chinese Chemical Society, 2008, 55, 971-978 971<br />

<strong>Derivative</strong> <strong>and</strong> <strong>Derivative</strong> <strong>Ratio</strong> <strong>Spectrophotometric</strong> <strong>Analysis</strong> <strong>of</strong><br />

Antihypertensive Ternary Mixture <strong>of</strong> Amiloride Hydrochloride,<br />

Hydrochlorothiazide <strong>and</strong> Timolol Maleate<br />

Mohamed H. Abdel-Hay, Azza A. Gazy, Ekram M. Hassan <strong>and</strong> Tarek S. Belal*<br />

Pharmaceutical Analytical Chemistry Department, Faculty <strong>of</strong> Pharmacy, University <strong>of</strong> Alex<strong>and</strong>ria,<br />

Elmessalah 21521, Alex<strong>and</strong>ria, Egypt<br />

Two simple, rapid <strong>and</strong> reliable spectrophotometric methods are described for the resolution <strong>of</strong> the<br />

three-component mixture <strong>of</strong> amiloride hydrochloride (AMD), hydrochlorothiazide (HCT) <strong>and</strong> timolol<br />

maleate (TIM). The first method involves the use <strong>of</strong> derivative spectrophotometry with the zero-crossing<br />

technique where AMD was easily determined using its 0 D<strong>and</strong> 1 D( = 6) amplitudes at 365 <strong>and</strong> 385 nm,<br />

respectively, while HCT <strong>and</strong> TIM were determined by measuring the 3 D( = 6) amplitude at 265 nm <strong>and</strong><br />

the 1 D( = 8) amplitude at 315.4 nm, respectively. The second method involves the application <strong>of</strong> the ratio-spectra<br />

zero-crossing first <strong>and</strong> second derivative spectrophotometry where two points have been used<br />

for the quantification <strong>of</strong> each compound. For the determination <strong>of</strong> AMD, HCT was used as divisor <strong>and</strong> the<br />

1 DD ( =4)<strong>and</strong> 2 DD ( = 6) values at 299.4 <strong>and</strong> 311 nm, respectively, were plotted against AMD concentration;<br />

while - by using TIM as divisor - the 2 DD ( = 6) amplitudes at 264.2 <strong>and</strong> 290 nm were found<br />

to be proportional to HCT concentration. TIM was assayed in the mixture using its 1 DD ( =6)amplitudes<br />

at 289.8 nm (Divisor was AMD) <strong>and</strong> 314.8 nm (Divisor was HCT). Synthetic mixtures <strong>of</strong> different<br />

proportions <strong>and</strong> laboratory-made tablets were assayed by the proposed methods <strong>and</strong> the results revealed<br />

good accuracy <strong>and</strong> repeatability <strong>of</strong> the developed methods.<br />

Keywords: Amiloride hydrochloride; Hydrochlorothiazide; Timolol maleate; <strong>Derivative</strong><br />

spectrophotometry; <strong>Derivative</strong> ratio spectrophotometry.<br />

INTRODUCTION<br />

Direct UV-spectrophotometric measurement is subjected<br />

to interference from co-formulated drugs, excipients<br />

<strong>and</strong>/or degradation products. <strong>Derivative</strong> spectrophotometry<br />

is an analytical technique <strong>of</strong> great utility for extracting<br />

quantitative information from spectra <strong>of</strong> unresolved b<strong>and</strong>s.<br />

The zero-crossing method 1,2 has led to significant developments<br />

in the analysis <strong>of</strong> pharmaceutical compounds in<br />

multi-component mixtures. 3,4<br />

In 1990, Salinas et al. 5 developed the ratio spectra derivative<br />

spectrophotometry for the resolution <strong>of</strong> binary<br />

mixtures. In 1992, Berzas et al. 6 developed a method <strong>and</strong><br />

discussed the theory for resolving ternary mixtures based<br />

on the use <strong>of</strong> first derivative <strong>of</strong> the ratio spectra <strong>of</strong> mixtures,<br />

followed by measurements at the zero crossing wavelengths<br />

<strong>of</strong> the first derivative <strong>of</strong> ratio spectra <strong>of</strong> single components.<br />

The ratio spectra zero crossing first derivative<br />

spectrophotometry was applied for the resolution <strong>of</strong> several<br />

ternary mixtures. 7,8 Also, higher derivative orders such<br />

as the 3 DD were applied for the determination <strong>of</strong> several<br />

ternary mixtures. 9,10<br />

Amiloride hydrochloride (AMD), chemically known<br />

as 3,5-diamino-N-carbamimidoyl-6-chloropyrazine-2-<br />

carboxamide hydrochloride dihydrate, is a weak diuretic<br />

which appears to act mainly on the distal renal tubules. It is<br />

described as potassium sparing since it increases the excretion<br />

<strong>of</strong> sodium <strong>and</strong> reduces the excretion <strong>of</strong> potassium. Hydrochlorothiazide<br />

(HCT), 6-chloro-3,4-dihydro-2H-1,2,4-<br />

benzothiadiazine-7-sulphonamide-1,1-dioxide, is a moderately<br />

potent diuretic. It exerts its effect by reducing the reabsorption<br />

<strong>of</strong> electrolytes from the renal tubules, thereby<br />

increasing the excretion <strong>of</strong> sodium <strong>and</strong> chloride ions, <strong>and</strong><br />

consequently <strong>of</strong> water. Timolol maleate (TIM), (2S)-1-<br />

[(1,1-dimethylethyl)amino]-3-[[4-(morpholin-4-yl)-1,2,5-<br />

thiadiazol-3-yl]oxy]propan-2-ol (Z)-butenedioate, is a<br />

non-cardioselective -blocker used in the management <strong>of</strong><br />

several cardio-vascular disorders. 11 Drug combinations <strong>of</strong><br />

hydrochlorothiazide with -adrenergic blocking agents are<br />

* Corresponding author. Tel: +20-3-4871317; Fax: +20-3-4871351; E-mail: tbelaleg@yahoo.com


972 J. Chin. Chem. Soc., Vol. 55, No. 5, 2008 Abdel-Hay et al.<br />

usually employed for the management <strong>of</strong> hypertension.<br />

Amiloride is useful for the prevention <strong>of</strong> hypokalemia induced<br />

by hydrochlorothiazide especially during prolonged<br />

treatment. 11<br />

The three drugs are <strong>of</strong>ficial in both: the BP 12 <strong>and</strong> the<br />

USP. 13 Also binary mixtures <strong>of</strong> HCT with either AMD or<br />

TIM are <strong>of</strong>ficial <strong>and</strong> are assayed by HPLC methods. 13 Binary<br />

<strong>and</strong> ternary mixtures containing AMD <strong>and</strong> HCT have<br />

been analyzed by several reported methods such as capillary<br />

zone electrophoresis, 14 spectrophotometry, 15 derivative<br />

spectrophotometry, 16 differential pulse polarography<br />

with partial least squares, 17 derivative ratio spectrophotometry,<br />

18 <strong>and</strong> HPLC. 18-20 HCT <strong>and</strong> TIM have been simultaneously<br />

assayed in their binary mixture using several spectrophotometric<br />

methods including flow-injection, 21 orthogonal<br />

function 22 <strong>and</strong> derivative <strong>and</strong> derivative-ratio<br />

spectrophotometry. 23<br />

The combination <strong>of</strong> the three studied drugs has been<br />

recently assayed using several chemometric methods 24 including<br />

classical least squares (CLS), partial least squares<br />

(PLS) <strong>and</strong> principal component regression (PCR).<br />

This work describes the application <strong>of</strong> the zero crossing<br />

derivative <strong>and</strong> the ratio spectra zero crossing first<br />

( 1 DD) <strong>and</strong> second ( 2 DD) derivative spectrophotometry for<br />

the resolution <strong>of</strong> AMD-HCT-TIM ternary mixture. The<br />

proposed methods are rapid, simple, accurate <strong>and</strong> do not require<br />

solving equations or working with additional sophisticated<br />

s<strong>of</strong>tware. In addition, the methods are direct <strong>and</strong> do<br />

not need separation or pretreatment.<br />

EXPERIMENTAL<br />

Apparatus<br />

All spectrophotometric measurements were performed<br />

using a Perkin-Elmer, Lambda EZ201 UV-VIS<br />

spectrophotometer with matched 1-cm quartz cuvettes. The<br />

instrument is connected to a Panasonic impact dot matrix<br />

printer KX-P3626.<br />

Materials<br />

All chemicals <strong>and</strong> solvents used throughout the study<br />

were <strong>of</strong> analytical grade. Authentic samples <strong>of</strong> AMD, HCT<br />

<strong>and</strong> TIM were kindly donated by Pharco Pharmaceuticals<br />

Co., Alex<strong>and</strong>ria, Egypt <strong>and</strong> were used as received.<br />

Laboratory-made tablets containing 25 mg hydrochlorothiazide,<br />

10 mg timolol maleate <strong>and</strong> 2.5 mg amiloride<br />

hydrochloride per tablet were prepared as documented<br />

in several drug indexes 25,26 for Moducren (Merck Sharp &<br />

Dohme).<br />

Preparation <strong>of</strong> Stock Solutions<br />

Stock solutions <strong>of</strong> AMD 200 g/mL, HCT 400 g/mL<br />

<strong>and</strong> TIM 400 g/mL were prepared in methanol <strong>and</strong> stored<br />

refrigerated at 4 C.<br />

Calibration Graphs<br />

<strong>Derivative</strong> Method<br />

The working st<strong>and</strong>ard solutions were prepared by dilution<br />

<strong>of</strong> the stock solutions <strong>of</strong> AMD, HCT <strong>and</strong> TIM with<br />

0.1 M sodium hydroxide solution to reach the concentration<br />

ranges mentioned in Table 1. The absorbance, 1 D<strong>and</strong><br />

3 D spectra were recorded against 0.1 M sodium hydroxide<br />

solution. The absolute values <strong>of</strong> the A max <strong>and</strong> 1 D( =6)<br />

amplitudes at 365 <strong>and</strong> 385 nm, respectively (for AMD), the<br />

3 D( = 6) amplitudes at 265 nm (for HCT) <strong>and</strong> the 1 D(<br />

= 8) amplitudes at 315.4 nm (for TIM) were plotted against<br />

the corresponding concentrations.<br />

<strong>Derivative</strong> <strong>Ratio</strong> Method<br />

The working st<strong>and</strong>ard solutions were prepared by dilution<br />

<strong>of</strong> AMD, HCT <strong>and</strong> TIM stock solutions with 0.1 M<br />

sodium hydroxide solution to reach the concentration ranges<br />

mentioned in Table 1. The absorption spectra were recorded<br />

against 0.1 M sodium hydroxide solution <strong>and</strong> stored.<br />

The stored spectra were divided (amplitude at each wavelength)<br />

by the spectrum <strong>of</strong> a st<strong>and</strong>ard solution <strong>of</strong> 3 g/mL<br />

HCT(forAMD)<strong>and</strong>4g/mL TIM (for HCT). The first <strong>and</strong><br />

the second derivatives <strong>of</strong> the ratio spectra were obtained.<br />

The absolute values <strong>of</strong> the 1 D( =4)<strong>and</strong> 2 D( =6)amplitudes<br />

at 299.4 <strong>and</strong> 311 nm, respectively (for AMD) <strong>and</strong><br />

the 2 D( = 6) amplitudes at 264.2 <strong>and</strong> 290 nm (for HCT)<br />

were plotted against the corresponding concentrations.<br />

For the determination <strong>of</strong> TIM, the stored spectra were<br />

divided (amplitude at each wavelength) by the spectrum <strong>of</strong><br />

a st<strong>and</strong>ard solution <strong>of</strong> either 2 g/mL AMD or 3 g/mL<br />

HCT, the first derivative <strong>of</strong> the ratio spectra were obtained<br />

<strong>and</strong> the absolute values <strong>of</strong> the 1 D( = 6) amplitudes at<br />

289.8 <strong>and</strong> 314.8 nm, respectively, were plotted against the<br />

corresponding concentrations.<br />

Determination <strong>of</strong> AMD-HCT-TIM in Tablets<br />

A total <strong>of</strong> 20 tablets (Laboratory-made tablets containing25mgHCT,10mgTIM<strong>and</strong>2.5mgAMDpertablet<br />

in addition to lactose, starch, talc <strong>and</strong> magnesium stearate<br />

as tablet fillers) were massed <strong>and</strong> finely powdered. To an<br />

accurately weighed quantity <strong>of</strong> the powder equivalent to<br />

the average weight per tablet, 60 mL methanol were added,<br />

stirred for 10 minutes then filtered into a 100-mL volumetric<br />

flask. The residue was washed with two 10 mL portions<br />

<strong>of</strong> methanol <strong>and</strong> washings were added to the filtrate <strong>and</strong> di-


<strong>Analysis</strong> <strong>of</strong> Amiloride, Hydrochlorothiazide <strong>and</strong> Timolol J. Chin. Chem. Soc., Vol. 55, No. 5, 2008 973<br />

Table 1. Analytical parameters for the determination <strong>of</strong> AMD, HCT <strong>and</strong> TIM by the proposed methods<br />

Linearity Regression Equation<br />

a<br />

b<br />

Compound Wavelength (nm) Range Intercept Slope Corr. S a S b<br />

(g/mL) (a) (b) Coeff. (r)<br />

AMD<br />

S y/x<br />

c<br />

LOD d<br />

(g/mL)<br />

LOQ e<br />

(g/mL)<br />

A 365 3-15 0.003 0.0640 0.99991 0.0043 4.93 10 -4 0.0042 0.22 0.67<br />

Zero-Crossing <strong>Derivative</strong>:<br />

D 385 1-15 0.004 0.1129 0.99992 0.0054 8.08 10 -4 0.0051 0.16 0.49<br />

<strong>Derivative</strong> <strong>Ratio</strong>:<br />

DD 299.4 (HCT) * 1-15 -0.050 2.7905 0.99995 0.1049 0.0192 0.0857 0.12 0.36<br />

2 DD 311 (HCT) * 1-15 -0.034 2.4549 0.99997 0.0715 0.0131 0.0584 0.10 0.30<br />

HCT<br />

TIM<br />

Zero-Crossing <strong>Derivative</strong>:<br />

D 265 2-25 -0.004 0.0866 0.99992 0.0083 6.23 10 -4 0.0079 0.32 0.97<br />

<strong>Derivative</strong> <strong>Ratio</strong>:<br />

DD 264.2 (TIM) * 2-25 -0.039 1.3633 0.99995 0.1016 0.0093 0.0830 0.25 0.76<br />

2 DD 290 (TIM) * 2-25 -0.051 1.2986 0.99996 0.0884 0.0081 0.0721 0.23 0.70<br />

Zero-Crossing <strong>Derivative</strong>:<br />

1 D 315.4 3-20 -0.002 0.0394 0.99992 0.0038 2.83 10 -4 0.0036 0.32 0.97<br />

<strong>Derivative</strong> <strong>Ratio</strong>:<br />

1 DD 289.8 (AMD) * 1-20 -0.053 2.2286 0.99997 0.1353 0.0124 0.1104 0.20 0.61<br />

1 DD 314.8 (HCT) * 1-20 0.045 1.8875 0.99999 0.0581 0.0053 0.0474 0.10 0.30<br />

* The compound used as divisor<br />

a St<strong>and</strong>ard deviation <strong>of</strong> the intercept<br />

b St<strong>and</strong>ard deviation <strong>of</strong> the slope<br />

c St<strong>and</strong>ard deviation <strong>of</strong> residuals<br />

d Limit <strong>of</strong> detection<br />

e Limit <strong>of</strong> quantification<br />

luted to volume with methanol. Aliquots <strong>of</strong> the tablet solution<br />

(prepared in methanol) were diluted with 0.1 M sodium<br />

hydroxide solution to obtain final concentrations<br />

within the ranges mentioned in Table (1) <strong>and</strong> then treated as<br />

under the procedures for derivative <strong>and</strong> derivative-ratio<br />

methods.<br />

hydroxide solution are shown in Fig. 1. They exhibited<br />

broad b<strong>and</strong>s <strong>of</strong> UV absorption with maxima at 365, 272 <strong>and</strong><br />

RESULTS AND DISCUSSION<br />

Both acidic (0.1 M hydrochloric acid solution) <strong>and</strong> alkaline<br />

(0.1 M sodium hydroxide solution) media were tried<br />

for the resolution <strong>of</strong> the ternary mixture <strong>and</strong> the best results<br />

for analytical purposes (best zero crossings resolving the<br />

mixture) were obtained using 0.1 M sodium hydroxide solution<br />

as a medium for both derivative <strong>and</strong> derivative ratio<br />

measurements. Solutions were stable in 0.1 M sodium hydroxide<br />

medium at ambient temperature for several hours<br />

<strong>and</strong> therefore the amplitudes <strong>of</strong> the peaks used for quantitative<br />

measurement remained unchanged.<br />

<strong>Derivative</strong> Method<br />

The absorption (zero-order) UV spectra <strong>of</strong> AMD,<br />

HCT <strong>and</strong> TIM over the range: 215-420 nm in 0.1 M sodium<br />

Fig. 1. Absorption spectra <strong>of</strong> 4 g/mL AMD (——),<br />

10 g/mL HCT (– – –) <strong>and</strong> 8 g/mL TIM (…) in<br />

0.1 M sodium hydroxide solution.


974 J. Chin. Chem. Soc., Vol. 55, No. 5, 2008 Abdel-Hay et al.<br />

295 nm for AMD, HCT <strong>and</strong> TIM, respectively.<br />

Although being the minor component in this mixture,<br />

AMD could be easily determined because <strong>of</strong> its peak at 365<br />

nm at which the other two components show no interference<br />

(Fig. 1), therefore, conventional A max method was applied<br />

for the determination <strong>of</strong> AMD in this ternary mixture.<br />

To improve the sensitivity <strong>of</strong> AMD determination in the<br />

mixture, the measurement <strong>of</strong> the first ( 1 D) derivative signal<br />

at 385 nm ( = 6) was carried out where the other two<br />

components give zero readings.<br />

For the determination <strong>of</strong> HCT, the first ( 1 D) <strong>and</strong> the<br />

second ( 2 D) derivative orders did not solve the problem <strong>of</strong><br />

the extensive spectral overlap, while the 3 D spectrum ( =<br />

6) enabled the determination <strong>of</strong> HCT at 265 nm where<br />

AMD <strong>and</strong> TIM exhibited no interference. Fig. 2 shows the<br />

3 D spectra <strong>of</strong> several serial concentrations <strong>of</strong> HCT.<br />

TIM suffered in this mixture from being the least absorbing<br />

component (A (1%,1 cm) = 645, 530 <strong>and</strong> 210 for<br />

AMD, HCT <strong>and</strong> TIM, respectively, at their maxima mentioned<br />

above) as well as from the extensive spectral overlap.<br />

Several trials were made in order to find an iso-differential<br />

point suitable for the selective determination <strong>of</strong> TIM,<br />

<strong>and</strong> it was successfully determined through its 1 D spectrum<br />

at 315.4 nm <strong>and</strong> = 8 nm (zero crossing for both AMD<br />

<strong>and</strong> HCT).<br />

Fig. 2. Third derivative spectra ( = 6 nm) <strong>of</strong> 4, 8, 12,<br />

16 <strong>and</strong> 20 g/mL HCT (——), 2 g/mL AMD<br />

(…) <strong>and</strong> 8 g/mL TIM (– – –) in 0.1 M sodium<br />

hydroxide solution.<br />

<strong>Derivative</strong> <strong>Ratio</strong> Method<br />

The absorption spectra <strong>of</strong> AMD, HCT <strong>and</strong> TIM in 0.1<br />

M sodium hydroxide solution are strongly overlapped over<br />

the range <strong>of</strong> 215-350 nm (Fig. 1). This spectral overlapping<br />

was sufficient enough to demonstrate the resolving power<br />

<strong>of</strong> the derivative ratio technique. This approach represents<br />

the integration <strong>and</strong> simultaneous use <strong>of</strong> the traditional zerocrossing<br />

technique <strong>and</strong> the Salinas method. 5 One <strong>of</strong> the advantages<br />

<strong>of</strong> using higher derivatives is the possibility <strong>of</strong> selecting<br />

more suitable wavelengths from a larger range <strong>of</strong><br />

possibilities; therefore, both the 1 DD <strong>and</strong> 2 DD modes were<br />

applied for the resolution <strong>of</strong> this mixture.<br />

The influence <strong>of</strong> the different parameters was studied<br />

to optimize the signal <strong>of</strong> the derivative ratio spectra; i.e.,<br />

to give good selectivity <strong>and</strong> higher sensitivity in the determination.<br />

Medium scan speed (200 nm/min.) was chosen<br />

throughout the work.<br />

A study was carried out to test for the effect <strong>of</strong> the divisor<br />

concentration on the calibration graphs. The divisor<br />

concentration can be modified <strong>and</strong> different calibration<br />

graphs are then obtained. When the concentration <strong>of</strong> divisor<br />

is increased or decreased, the resulting derivative values<br />

are proportionately decreased or increased, respectively,<br />

although the maxima <strong>and</strong> minima remain at the same<br />

wavelengths. For all subsequent measurements, spectra <strong>of</strong><br />

2 g/mL AMD, 3 g/mL HCT <strong>and</strong> 4 g/mL TIM were used<br />

as st<strong>and</strong>ard divisors. These assured the best compromise in<br />

terms <strong>of</strong> sensitivity, repeatability <strong>and</strong> signal to noise ratio.<br />

The influence <strong>of</strong> for plotting the first <strong>and</strong> second<br />

derivatives <strong>of</strong> the ratio spectra was tested to obtain the optimum<br />

wavelength interval. The value affects both shape<br />

<strong>and</strong> position <strong>of</strong> peaks <strong>of</strong> the analyzed compound as well as<br />

the position <strong>of</strong> the zero-crossing points <strong>of</strong> the other compound<br />

in the mixture. In some cases, this effect is dramatic<br />

in that only a single value can be successful while others<br />

give poor resolution; therefore, we can say that the effect<br />

<strong>of</strong> divisor concentration is mainly a matter <strong>of</strong> sensitivity,<br />

while the effect <strong>of</strong> is mainly a matter <strong>of</strong> resolution. In<br />

the mixture under analysis, = 6 nm was the optimum for<br />

all determinations except for the measurement <strong>of</strong> AMD at<br />

1 DD 299.4 where = 4 nm was applied.<br />

For each compound, 2 points can be successfully<br />

used for its specific determination where the other compounds<br />

show no interference. The ratio spectra <strong>of</strong> different<br />

AMD st<strong>and</strong>ards at increasing concentrations in 0.1 M sodium<br />

hydroxide solution were obtained by dividing each<br />

with the spectrum <strong>of</strong> 3 g/mL HCT in the same solvent. The


<strong>Analysis</strong> <strong>of</strong> Amiloride, Hydrochlorothiazide <strong>and</strong> Timolol J. Chin. Chem. Soc., Vol. 55, No. 5, 2008 975<br />

first ( = 4) derivative was plotted from the smoothed ratio<br />

spectra. As illustrated in Fig. 3, AMD can be determined<br />

by measuring the 1 DD amplitude at 299.4 nm where there is<br />

no contribution from TIM. Similarly, the second ( =6)<br />

derivative was plotted from the smoothed ratio spectra <strong>and</strong><br />

AMD can be determined by measuring the 2 DD amplitude<br />

at 311 nm. For the determination <strong>of</strong> HCT, a similar procedure<br />

was followed. The ratio spectra <strong>of</strong> different st<strong>and</strong>ards<br />

<strong>of</strong> HCT were obtained by dividing each with the spectrum<br />

<strong>of</strong> 4 g/mL TIM in sodium hydroxide solution then smoothing.<br />

The first derivative spectra didn’t provide suitable zerocrossings<br />

for HCT determination, while the second derivative<br />

( = 6) permitted its determination at 264.2 <strong>and</strong> 290<br />

nm where the corresponding values <strong>of</strong> AMD were equal to<br />

zero (Fig. 4).<br />

For the determination <strong>of</strong> TIM, two pathways could be<br />

followed. The first pathway involved measuring the first<br />

derivative amplitudes ( = 6) <strong>of</strong> the smoothed ratio spectra<br />

at 289.8 nm (zero-crossing point for HCT), using 2 g/<br />

mL AMD in 0.1 M sodium hydroxide solution as divisor.<br />

The first derivative curves <strong>of</strong> TIM are illustrated in Fig. 5.<br />

The second pathway for the determination <strong>of</strong> TIM involved<br />

the use <strong>of</strong> 3 g/mL HCT in 0.1 M sodium hydroxide solution<br />

as divisor. The resultant ratio spectra were smoothed<br />

then differentiated with respect to wavelength at =6<br />

nm. The first derivative amplitude at 314.8 nm, which corresponds<br />

to a zero-crossing <strong>of</strong> AMD, is proportional to<br />

TIM concentration.<br />

Statistical <strong>Analysis</strong> <strong>of</strong> Results<br />

Concentration Ranges <strong>and</strong> Calibration Graphs<br />

A critical evaluation <strong>of</strong> the proposed derivative <strong>and</strong><br />

derivative-ratio methods was performed by statistical anal-<br />

Fig. 4. Second derivative <strong>of</strong> ratio spectra ( =6nm)<br />

<strong>of</strong> 4, 8, 12 <strong>and</strong> 16 g/mL HCT <strong>and</strong> 3 g/mL<br />

AMD in 0.1 M sodium hydroxide solution.<br />

Fig. 3. First derivative <strong>of</strong> ratio spectra ( =4nm)<strong>of</strong><br />

2, 4, 6 <strong>and</strong> 8 g/mL AMD <strong>and</strong> 5 g/mL TIM in<br />

0.1 M sodium hydroxide solution.<br />

Fig. 5. First derivative <strong>of</strong> ratio spectra ( =6nm)<strong>of</strong><br />

4, 8, 12 <strong>and</strong> 16 g/mL TIM <strong>and</strong> 8 g/mL HCT<br />

in 0.1 M sodium hydroxide solution.


976 J. Chin. Chem. Soc., Vol. 55, No. 5, 2008 Abdel-Hay et al.<br />

Table 2. Precision <strong>and</strong> accuracy for the determination <strong>of</strong> AMD/HCT/TIM synthetic mixtures by zero-crossing<br />

derivative spectrophotometry<br />

Nominal Value<br />

(X SD) a (g/mL) RSD (%) b E r (%) c<br />

(g/mL) AMD AMD AMD<br />

HCT TIM HCT TIM HCT TIM<br />

AMD HCT TIM A 1 365 D 1 385 A365 D 1 385 A365 D 385<br />

8 8 8 8.02 0.04 7.99 0.03 07.94 0.06 8.02 0.07 0.50 0.38 0.76 0.87 0.25 -0.13 -0.75 0.25<br />

2 20 8 —— 2.00 0.02 19.81 0.16 8.14 0.05 — 1.00 0.81 0.61 — 0.00 -0.95 1.75<br />

2 20 4 —— 2.01 0.02 19.73 0.13 4.08 0.03 — 1.00 0.66 0.74 — 0.50 -1.35 2.00<br />

8 4 4 7.99 0.04 8.03 0.04 03.96 0.05 3.99 0.03 0.50 0.50 1.26 0.75 -0.13 0.38 -1.00 -0.25<br />

4 4 8 4.00 0.03 3.99 0.02 04.05 0.02 8.02 0.08 0.75 0.50 0.49 1.00 0.00 -0.25 1.25 0.25<br />

a Mean SD for three determinations<br />

b % relative st<strong>and</strong>ard deviation<br />

c % relative error<br />

N.B. In some mixtures, AMD was determined using the 1 D mode only because its content was 2 g/mL which was<br />

lower than the linearity range <strong>of</strong> the A max method.<br />

Table 3. Precision <strong>and</strong> accuracy for the determination <strong>of</strong> AMD/HCT/TIM synthetic mixtures<br />

by derivative ratio spectrophotometry<br />

Nominal Value<br />

(g/mL)<br />

AMD HCT TIM<br />

(X SD) a for AMD<br />

(g/mL)<br />

RSD (%) b<br />

E r (%) c<br />

1 DD 299.4 2 DD 311 1 DD 299.4 2 DD 311 1 DD 299.4 2 DD 311<br />

8 8 8 7.97 0.04 8.02 0.06 0.50 0.75 -0.38- 0.25<br />

2 20 8 2.02 0.02 1.99 0.02 0.99 1.01 1.00 -0.50-<br />

2 20 4 1.99 0.02 1.99 0.02 1.01 1.01 -0.50- -0.50-<br />

8 4 4 8.02 0.07 7.90 0.05 0.87 0.63 0.25 -1.25-<br />

4 4 8 4.03 0.04 4.00 0.04 0.99 1.00 0.75 0.00<br />

Nominal Value<br />

(g/mL)<br />

AMD HCT TIM<br />

(X SD) a for HCT<br />

(g/mL)<br />

RSD (%) b<br />

E r (%) c<br />

2 DD 264.2 2 DD 290 2 DD 264.2 2 DD 290 2 DD 264.2 2 DD 290<br />

8 8 8 8.01 0.05 8.08 0.07 0.62 0.87 0.13 1.00<br />

2 20 8 19.93 0.13 19.81 0.14 0.65 0.71 -0.35- -0.95-<br />

2 20 4 20.01 0.14 19.93 0.11 0.70 0.55 0.05 -0.35-<br />

8 4 4 3.97 0.03 3.98 0.03 0.76 0.75 -0.75- -0.50-<br />

4 4 8 3.98 0.03 4.01 0.03 0.75 0.75 -0.50- 0.25<br />

Nominal Value<br />

(g/mL)<br />

AMD HCT TIM<br />

(X SD) a for TIM<br />

(g/mL)<br />

RSD (%) b<br />

E r (%) c<br />

1 DD 289.8 1 DD 314.8 1 DD 289.8 1 DD 314.8 1 DD 289.8 1 DD 314.8<br />

8 8 8 8.03 0.07 7.95 0.05 0.87 0.63 0.38 -0.63-<br />

2 20 8 7.94 0.07 8.01 0.07 0.88 0.87 -0.75- 0.13<br />

2 20 4 4.04 0.05 4.03 0.04 1.24 0.99 1.00 0.75<br />

8 4 4 3.96 0.03 3.95 0.04 0.76 1.01 -1.00- -1.25-<br />

4 4 8 7.97 0.07 8.00 0.06 0.88 0.75 -0.38- 0.00<br />

a Mean SD for three determinations<br />

b % relative st<strong>and</strong>ard deviation<br />

c % relative error


<strong>Analysis</strong> <strong>of</strong> Amiloride, Hydrochlorothiazide <strong>and</strong> Timolol J. Chin. Chem. Soc., Vol. 55, No. 5, 2008 977<br />

ysis <strong>of</strong> the experimental data. The linearity ranges <strong>and</strong> regression<br />

equations calculated with the methods described<br />

above are assembled in Table 1, together with other statistical<br />

data. The linearity <strong>of</strong> the calibration graphs <strong>and</strong> the adherence<br />

<strong>of</strong> the system to Beer’s law were validated by the<br />

high values <strong>of</strong> the correlation coefficients <strong>and</strong> the small intercepts.<br />

Other important statistical parameters such as the<br />

st<strong>and</strong>ard error <strong>of</strong> the estimate (S y/x ), the st<strong>and</strong>ard deviation<br />

<strong>of</strong> the slope (S b ) <strong>and</strong> the intercept (S a ) are also given in<br />

Table 1.<br />

Detection <strong>and</strong> Quantification Limits<br />

In accordance with the recommendations <strong>of</strong> ICH, 27<br />

the limit <strong>of</strong> detection, LOD = 3.3 /s, where is the st<strong>and</strong>ard<br />

deviation <strong>of</strong> the intercept <strong>of</strong> the regression line <strong>and</strong> s is<br />

the sensitivity, namely the slope <strong>of</strong> the calibration graph.<br />

On the other h<strong>and</strong>, the limit <strong>of</strong> quantification, LOQ, is defined<br />

as 10 /s. Detection <strong>and</strong> quantification limits <strong>of</strong> the<br />

three drugs using the proposed methods were calculated<br />

<strong>and</strong> are presented in Table 1. The LOD values were verified<br />

<strong>and</strong> they were found experimentally detectable.<br />

Precision <strong>and</strong> Accuracy<br />

The applicability <strong>of</strong> the developed methods was tested<br />

by the analysis <strong>of</strong> AMD, HCT <strong>and</strong> TIM in several synthetic<br />

mixtures <strong>of</strong> different proportions. Good accuracy, expressed<br />

as percentage relative error (E r %), <strong>and</strong> high precision, expressed<br />

as percentage relative st<strong>and</strong>ard deviation (RSD%),<br />

were obtained. The results, summarized in Tables 2 <strong>and</strong> 3,<br />

show that the E r (%) <strong>and</strong> RSD(%) values do not exceed 2%<br />

which demonstrates the accuracy <strong>and</strong> repeatability <strong>of</strong> the<br />

developed methods.<br />

Assay <strong>of</strong> Tablets<br />

Due to the unavailability <strong>of</strong> the commercial tablets in<br />

the Egyptian market, laboratory-made tablets were pre-<br />

Table 4. Assay <strong>of</strong> AMD, HCT <strong>and</strong> TIM in tablets using the proposed methods<br />

<strong>Derivative</strong> <strong>Ratio</strong><br />

AMD A 1 365 D 385 1 DD 2 299.4 DD 311<br />

% Recovery SD* 99.68 1.44 100.13 1.01 99.60 1.67 100.79 1.39<br />

RSD (%) 1.45 1.01 1.68 1.38<br />

E r (%) -0.32 0.13 -0.40 0.79<br />

ANOVA (single factor): F = 0.767 (Critical F = 3.239)<br />

HCT<br />

3 D 265<br />

<strong>Derivative</strong> <strong>Ratio</strong><br />

DD 2 264.2 DD 290<br />

% Recovery SD* 99.58 1.43 100.48 0.78 99.27 0.83<br />

RSD (%) 1.44 0.78 0.84<br />

E r (%) -0.42 0.48 -0.73<br />

ANOVA (single factor): F = 1.762 (Critical F = 3.885)<br />

TIM<br />

1 D 315.4<br />

<strong>Derivative</strong> <strong>Ratio</strong><br />

DD 1 289.8 DD 314.8<br />

% Recovery SD* 101.30 0.76 99.75 0.97 100.93 1.16<br />

RSD (%) 0.75 0.97 1.15<br />

E r (%) 1.30 -0.25 0.93<br />

ANOVA (single factor): F = 3.437 (Critical F = 3.885)<br />

ANOVA (Two-factor with replication)<br />

Source <strong>of</strong> Variation SS df MS F P-value F (critical)<br />

Component 05.873 02 2.937 2.216 0.124 3.259<br />

Methods 01.542 02 0.771 0.582 0.564 3.259<br />

Interaction 12.503 04 3.126 2.358 0.072 2.634<br />

Within 47.716 36 1.325<br />

Total 67.634 44<br />

* Mean % recovery SD for five determinations.


978 J. Chin. Chem. Soc., Vol. 55, No. 5, 2008 Abdel-Hay et al.<br />

pared <strong>and</strong> analyzed by the proposed derivative <strong>and</strong> derivative-ratio<br />

spectrophotometric methods. No interference<br />

from commonly encountered tablet excipients such as talc,<br />

starch, lactose <strong>and</strong> magnesium stearate was observed in the<br />

analyses. The results, shown in Table 4, agree with nominal<br />

content showing reasonable precision <strong>and</strong> accuracy. This is<br />

evident from the low RSD(%) <strong>and</strong> E r (%) values. For each<br />

component, the results obtained by the proposed methods<br />

were statistically compared using the single factor analysis<br />

<strong>of</strong> variance (One-way ANOVA) test. 28 The calculated F-<br />

value did not exceed the critical value for any <strong>of</strong> the three<br />

drugs, indicating that there is no significant difference between<br />

the proposed methods.<br />

Furthermore, the two factor (two-way) ANOVA test 28<br />

was applied for the overall comparison concerning the two<br />

factors: the analyzed component <strong>and</strong> the applied method,<br />

using the percentage recoveries <strong>of</strong> the analytes from tablets<br />

as the statistical population. As shown in Table 4, the obtained<br />

F-values did not exceed the critical values for either<br />

the component or the method factors.<br />

CONCLUSION<br />

<strong>Derivative</strong> <strong>and</strong> derivative-ratio spectrophotometry<br />

were successfully adopted for the simultaneous quantification<br />

<strong>of</strong> a ternary mixture <strong>of</strong> amiloride hydrochloride, hydrochlorothiazide<br />

<strong>and</strong> timolol maleate. Compared with the<br />

previously published chemometric methods, 24 the proposed<br />

methods are simple, direct <strong>and</strong> do not require any additional<br />

s<strong>of</strong>tware programs. Also, they are accurate, precise<br />

<strong>and</strong> time saving <strong>and</strong> therefore they can be considered alternative<br />

tools for the routine analysis <strong>of</strong> commercial tablets<br />

containing the three drugs with minimum sample preparation.<br />

Received November 9, 2007.<br />

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