12.9
UV-Vis-Spektroskopie: Das Lambert-Beersche Gesetz
Das Lambert-Beersche Gesetz beschreibt die Beziehung zwischen Absorption und Konzentration und kombiniert die Prinzipien der Wissenschaftler Johann He…
Das Beer-Lambert-Gesetz gibt die Beziehung zwischen Absorption, Konzentration und Weglänge des Lichts durch die Probe an.
Die Absorption A einer Lösung ist die logarithmische Funktion des Verhältnisses der Intensität des einfallenden Lichts I0 zur Intensität des durchgelassenen Lichts I.
Die Absorption beruht auch auf der molaren Absorptionsfähigkeit ε, d. h. der Absorption einer 1-molaren Lösung, die in einer Zelle mit einer Weglänge von 1 cm gemessen wird.
Absorptionswerte über 104 werden als Absorptionen mit hoher Intensität bezeichnet, während Absorptionen unter 103 als Absorptionen mit geringer Intensität klassifiziert werden.
Dasmolare Absorptionsvermögen ist eine Konstante für eine Verbindung und eine Eigenschaft dieser Verbindung bei einer bestimmten Wellenlänge. Zum Beispiel sind Absorptionsbanden im Benzoesäurespektrum charakteristisch für ihr molares Absorptionsvermögen bei jeder Wellenlänge.
Zur Bestimmung der unbekannten Konzentration kann das Beer-Lambert-Gesetz herangezogen werden, wenn die Extinktion und das molare Absorptionsvermögen bei einer bestimmten Wellenlänge bekannt sind.
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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.