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1 1 Fundamental Law of Spectrophotometry Beer - Lamber t Law S P T  nce Transmitta Absorbance = -logT  As sumes: 0 bc P P log A 0 http://en.wikipedia.org/wiki/File:Beer_lambert.png  sys tem no t sat urated i n ligh t absorbers behave indepe ndent ly an are distributed homog enous ly  The pro duct corresp onds to the numbe r of absorb ers per cm 2 area as beam passes through cell.  A = abc vs A = bc 2 Beer - Lamber t La w Typ ical a naly tica l appl ication: Calibration curve Concentration       A       b      s      o      r       b      a      n      c Al so works for mix tur es: For a giv en , A net = A 1 + A 2 + A 3 + … A net = 1 bc 1 + 2 bc 2 + 3 bc 3 + ...

UV Vis Techniques

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• Fundamental Law of Spectrophotometry

Beer - Lambert Law

S P T  nceTransmitta

Absorbance = -logT

 – Assumes:

0

bcP

PlogA

0

http://en.wikipedia.org/wiki/File:Beer_lambert.png

 

• system not saturated in light

• absorbers behave independently an are distributed homogenously – The product corresponds to the number of absorbers per cm2

area as beam passes through cell.

 – A = abc vs A = bc

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Beer - Lambert Law• Typical analytical application: Calibration curve

Concentration

      A      b     s     o     r      b     a     n     c

• Also works for mixtures: For a given ,Anet = A1+ A2 + A3 + …

Anet = 1bc1+ 2bc2 + 3bc3 + ...

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Limitations/Deviations Affecting Linearity

A. Real Deviations: due to derivation of BL – Law only works at low concentrations (~mM)

 – At higher concentration, of solution changes, causing tochange.

B. Instrumental Deviations:

1. Deviations due to polychromatic radiation

 – due to bandpass of measurement

 – narrow features + wide bandpass changing  –  http://www.chem.uoa. r/applets/AppletBeerLaw/Appl Beer2.html _ 

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Limitations/Deviations Affecting Linearity

2. Deviations due to stray light

 – Increased light reachingdetector

 – Contributes most when P << P0

 – Causes negative deviation athigh concentration (High Abs.)

 – Decreasing bandpass lowersstray light

- increased linearity

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Limitations/Deviations Affecting Linearity

C. Chemical Deviation:Shifting Equilibira

 – As position of equilibriumchanges, concentration ofabsorber changes

 – Equilibrium affected by:

 – Compensate by using isosbesticpoint: point where molar absorptivityfor components of equilibria areidentical.

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Optimizing UV-Vis Analysis• Using UV-Vis for quantitative analysis:

1. Temperature: changing temp cause shifting equilibria

2. Solvents: Transparency, Solubility, Purity

3. Photoeffects: luminescence

.

choose max for best sensitivity and linearity

5. Appropriate sample cells: minimize scatter, etc.

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Example Applications of UV-VIS

• Determination of equilibrium constants

• Determination of reaction kinetics 

• Quantitative Analysis - Calibration curves…

• Detectors for separations (HPLC)

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Example Applications of UV-VIS• Photometric Titrations

 – Monitor absorbance of analyte (product, titrant) during titration

 – Beer’s law applies!

• away from eq. pt., observelinear regions

• magnitude of absorbancedepends on concentration

• slope of linear portion isdetermined by Beer’s law

• Intersection of linearportions = eq. pt.

 – Need to account for effect of dilution on the absorbance

 – Endpoint is determined by data taken away from it

• points near the endpoint aren’t as critical

• don’t need sharp transition