12.9
Spettroscopia UV-Vis: la Legge di Beer-Lambert
La legge di Beer-Lambert descrive la relazione tra assorbanza e concentrazione, che combina i principi stabiliti dagli scienziati Johann Heinrich Lamb…
La legge di Beer-Lambert fornisce la relazione tra assorbanza, concentrazione e lunghezza del percorso della luce attraverso il campione.
L'assorbanza, A, di una soluzione, è la funzione logaritmica del rapporto tra l'intensità della luce incidente, I0, e l'intensità della luce trasmessa, I.
L'assorbanza si basa anche sull'assorbività molare, ε, che è l'assorbanza di una soluzione di 1 molare misurata in una cellula con una lunghezza del percorso di 1 cm.
Valori di assorbenza superiori a 104 sono definiti assorbimenti ad alta intensità, mentre quelli inferiori a 103 sono classificati come assorbimenti a bassa intensità.
L'assorbività molare è una costante per un composto ed è una caratteristica di quel composto a una particolare lunghezza d'onda. Ad esempio, le bande di assorbimento nello spettro dell'acido benzoico sono caratteristiche della sua assorbività molare ad ogni lunghezza d'onda.
La legge di Beer-Lambert può essere utilizzata per determinare la concentrazione incognita, se l'assorbanza e l'assorbività molare a una particolare lunghezza d'onda sono note.
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Q1: What does the Beer-Lambert law describe in UV-Vis spectroscopy?
The Beer-Lambert law describes the relationship between absorbance, concentration, and path length of light through a sample. It combines Lambert's law, which states that light intensity loss is proportional to original intensity and path length, with Beer's law regarding transmittance. This fundamental principle allows chemists to quantify unknown concentrations using measured absorbance values.
Q2: How is absorbance mathematically defined in the Beer-Lambert law?
Absorbance is the logarithmic function of the ratio of incident light intensity (I0) to transmitted light intensity (I). The Beer-Lambert equation expresses absorbance as A = εlc, where ε is molar absorptivity, l is path length, and c is concentration. This linear relationship between absorbance and concentration enables quantitative analysis of solutions.
Q3: What is molar absorptivity and why is it important?
Molar absorptivity (ε) is the absorbance of a 1 molar solution measured in a cell with a 1 cm path length, expressed in units of M⁻¹cm⁻¹. It is a characteristic constant for each compound at a particular wavelength and reflects how strongly that compound absorbs light. Knowing molar absorptivity allows determination of unknown concentrations from measured absorbance values.
Q4: How do high-intensity and low-intensity absorptions differ?
Absorptivity values above 10⁴ M⁻¹cm⁻¹ are classified as high-intensity absorptions, while those below 10³ M⁻¹cm⁻¹ are low-intensity absorptions. These classifications indicate the strength of light absorption by a compound. For example, absorption bands in benzoic acid spectra demonstrate characteristic molar absorptivity values at different wavelengths.
Q5: How can the Beer-Lambert law be used to find unknown concentrations?
If absorbance and molar absorptivity at a particular wavelength are known, the Beer-Lambert law can calculate unknown concentration using the relationship A = εlc. By rearranging to solve for concentration (c = A/εl), analysts can determine sample concentration from measured absorbance. This principle forms the basis for creating calibration curves in quantitative analysis.
Q6: Why is the linear relationship between absorbance and concentration significant?
The direct proportionality between absorbance and concentration allows chemists to create calibration curves by plotting absorbance against known concentrations. This linear relationship enables accurate determination of unknown concentrations through interpolation. The Beer-Lambert law's predictability makes UV-Vis spectroscopy a reliable quantitative analytical technique.
Q7: How does path length affect absorbance measurements?
Path length is the distance light travels through a sample and directly influences absorbance according to the Beer-Lambert equation (A = εlc). Longer path lengths increase absorbance for the same concentration and molar absorptivity. Standard cuvettes typically have 1 cm path lengths, which is the reference standard for defining molar absorptivity values.