Spectroscopy and Spectral Analysis, Volume. 41, Issue 1, 65(2021)
To Make a Good Infrared Spectrum in NaCl Aqueous Solution Where Lambert-Beer’s Law is Not to be Obeyed
If the solution concentration c and the spectral absorbance A is not obeyed Lambert-Beer’s Law, an individual solution sample should be prepared and acquired in order to obtain its infrared spectrum. The binary linear regression analysis and hybrid spectrum were applied to NaCl aqueous solution. The following conclusions have been reached: (1) The infrared spectra of NaCl aqueous solutions with concentrations of c1, c2 are $A_{c_1}$,$A_{c_2}$, respectively. Then the regression equation Ahc(c1, c2)=$\hat{a}A_{c_1}+\hat{b}A_{c_2}$ is set up, where the relationship among c1, c2 and c is c1<c<c2. Hybrid spectrum Ahc(c1, c2) can be very similar to real spectrum Ac if $\hat{a}$ and $\hat{b}$ values are selected properly. (2) The smaller difference between c2 and c1, the higher similarity between Ahc(c1, c2) and Ac is. (3) The regression equation Ahc(2%, 30%)=$\hat{a}$A2%+$\hat{b}$A30% can be applied to the concentration range 2%~30%. (4) The relationships between $\hat{a}$ and c, $\hat{b}$ and c are c=-3.592c+1.058 9 and $\hat{b}$=3.565c-0.055 15. If we select c, we can easily obtain $\hat{a}$ and $\hat{b}$ then $\hat{a}$ and $\hat{b}$ are substituted into regression equation Ahc(c1, c2)=$\hat{a}A_{c_1}+\hat{b}A_{c_2}$. All hybrid spectra are very similar to the real spectra and they can even replace the real spectra.
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Meng YAO, Hai-shui WANG. To Make a Good Infrared Spectrum in NaCl Aqueous Solution Where Lambert-Beer’s Law is Not to be Obeyed[J]. Spectroscopy and Spectral Analysis, 2021, 41(1): 65
Category: Research Articles
Received: Jul. 13, 2020
Accepted: --
Published Online: Apr. 8, 2021
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