Determination of absorbance

Determination of absorbance

 The absorbance (A) of a solution is defined as the  logarithm to base 10 of the reciprocal of the transmittance (T) for monochromatic  radiation:  

T = I/I0, 

 I0 = intensity of incident monochromatic radiation, 

 I = intensity of transmitted monochromatic radiation. 

 In the absence of other physico-chemical factors, the absorbance (A) is proportional  to the path length (b) through which the radiation passes and to the concentration (c)  of the substance in solution in accordance with the equation: 



Î = molar absorptivity, if b is expressed in centimetres and c in moles per litre. 

The expression representing the specific absorbance of a dissolved  substance refers to the absorbance of a 10 g/L solution in a 1 cm cell and measured  at a defined wavelength so that: 


Unless otherwise prescribed, measure the absorbance at the prescribed wavelength  using a path length of 1 cm. Unless otherwise prescribed, the measurements are  carried out with reference to the same solvent or the same mixture of solvents. The  absorbance of the solvent measured against air and at the prescribed wavelength  shall not exceed 0.4 and is preferably less than 0.2. Plot the absorption spectrum  with absorbance or function of absorbance as ordinate against wavelength or function  of wavelength as abscissa. 

Where a monograph gives a single value for the position of an absorption maximum,  it is understood that the value obtained may differ by not more than ± 2 nm. 

Apparatus

  Spectrophotometers suitable for measuring in the ultraviolet and visible  range of the spectrum consist of an optical system capable of producing  monochromatic radiation in the range of 200-800 nm and a device suitable for  measuring the absorbance. 

Control of wavelengths

  Verify the wavelength scale using the absorption  maxima of holmium perchlorate solution R, the line of a hydrogen or deuterium  discharge lamp or the lines of a mercury vapour arc shown in Table 2.2.25.-1. The  permitted tolerance is ± 1 nm for the ultraviolet range and ± 3 nm for the visible  range. Suitable certified reference materials may also be used. 

 Control of absorbance

  Check the absorbance using suitable filters or a solution  of potassium dichromate R at the wavelengths indicated in Table 2.2.25.-2, which  gives for each wavelength the exact value and the permitted limits of the specific  absorbance. The table is based on a tolerance for the absorbance of ± 0.01. 

For the control of absorbance, use solutions of potassium dichromate R that has  been previously dried to constant mass at 130 °C. For the control of absorbance at  235 nm, 257 nm, 313 nm and 350 nm, dissolve 57.0-63.0 mg of potassium  dichromate R in 0.005 M sulfuric acid  and dilute to 1000.0 mL with the same acid.  For the control of absorbance at 430 nm, dissolve 57.0-63.0 mg of potassium  dichromate R in 0.005 M sulfuric acid  and dilute to 100.0 mL with the same acid.  Suitable certified reference materials may also be used. 

 Limit of stray light  

Stray light may be detected at a given wavelength with  suitable filters or solutions: for example, the absorbance of a 12 g/L solution of  potassium chloride R in a 1 cm cell increases steeply between 220 nm and 200 nm  and is greater than 2.0 at 198 nm when compared with water as compensation liquid.  Suitable certified reference materials may also be used. 

 Resolution (for qualitative analysis)  

When prescribed in a monograph, measure  the resolution of the apparatus as follows: record the spectrum of a 0.02 per cent  V/V solution of toluene R in hexane R. The minimum ratio of the absorbance at the  maximum at 269 nm to that at the minimum at 266 nm is stated in the monograph.  Suitable certified reference materials may also be used. 

 Spectral slit-width (for quantitative analysis)  

To avoid errors due to spectral  slit-width, when using an instrument on which the slit-width is variable at the selected  wavelength, the slit-width must be small compared with the half-width of the  absorption band but it must be as large as possible to obtain a high value of I0.  Therefore, a slit-width is chosen such that further reduction does not result in a  change in absorbance reading. 

 Cells  

The tolerance on the path length of the cells used is ± 0.005 cm. When filled  with the same solvent, the cells intended to contain the solution to be examined and  the compensation liquid must have the same transmittance. If this is not the case,  an appropriate correction must be applied. 

 The cells must be cleaned and handled with care. 

 Derivative spectrophotometry 

 Derivative spectrophotometry involves the transformation of absorption spectra (zero- order) into first-, second- or higher-order-derivative spectra. 

 A first-order-derivative spectrum is a plot of the gradient of the absorption curve (rate  of change of the absorbance with wavelength, dA/dl) against wavelength. 

 A second-order-derivative spectrum is a plot of the curvature of the absorption  spectrum against wavelength (d2A/dl2). The second-order-derivative spectrum at any  wavelength l is related to concentration by the following equation: 


c¢ = concentration of the absorbing solute, in grams per litre. 

 Apparatus  
Use a spectrophotometer complying with the requirements prescribed  above and equipped with an analogue resistance-capacitance differentiation module  or a digital differentiator or other means of producing derivative spectra. Some  methods of producing second-order-derivative spectra produce a wavelength shift  relative to the zero-order spectrum and this is to be taken into account where  applicable. 
  
 Resolution power  
When prescribed in a monograph, record the second-order- derivative spectrum of a 0.02 per cent V/V solution of toluene R in methanol R, using  methanol R as the compensation liquid. The spectrum shows a small negative  extremum located between 2 large negative extrema at 261 nm and 268 nm,  respectively, as shown in Figure 2.2.25.-1. Unless otherwise prescribed in the  monograph, the ratio A/B (see Figure 2.2.25.-1) is not less than 0.2. 

 Procedure  
Prepare the solution of the substance to be examined, adjust the  various instrument settings according to the manufacturer's instructions, and  calculate the amount of the substance to be determined as prescribed in the  monograph. 

References

(Ph. Eur. method 2.2.25) 


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