Mathematical description of a wave
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Phase of a light wave
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Sine waves with different amplitudes and
with a phase different of 90 degree
Superimposition of waves
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If two plane-polarized waves overlap in space, the resulting electromagnetic disturbance is
the algebraic sum of the two waves.
Optical interference
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Periodicity or Beat
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Fourier Transformation
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Light –Matter interaction
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*We are ignoring scattering effects,
which occurs for less than 1 in 10,000 photons
electromagnetic radiation
Light–Matter interaction
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Consequences of Light-Matter Interaction
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Absorptioninduces
changesinmatter
aswellasinlight
Absorption
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Absorptionmethods:Radiationofincidentradiant
intensityI
0canbeabsorbedbytheanalyte,resultingina
transmittedbeamoflowerradiantintensityI.For
absorptiontooccur,theenergyoftheincidentbeam
mustcorrespondtooneoftheenergydifferencesshown
in(b).Theresultingabsorptionspectrumisshownin(c).
I
0 I
Interactions of different radiations with matter
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Major Absorption Spectroscopic Techniques
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Quantized energy levels in matter
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100-1000 kJ/mol1-100 kJ/mol0.01-1 kJ/mol
Quantized energy levels in matter-A comparison
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Quantized energy levels in matter-A comparison
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ThemoleculeMhaslowlyingrotationalstatesM
r
andvibrationalstatesM
v
.Electronic
excitedstatesM
*
canbereachedbyabsorptionoflightabove1000nm,innearinfrared,
Visible(VIS)andultraviolet(UV)spectra.Atshorterwavelengthsionizationisthemajor
process.Afewexamplesofbonddissociationenergiesinthisenergyrangearegiveninunits
ofkJmol
-1
Schematic of a grating spectrometer
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Idealized and actual spectrum
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•Source emissivity and the sensitivity of the detector vary with frequency. Thus the baseline-the no-sample condition-
is seldom horizontal, although matters can usually be arranged so that it is approximately linear.
•Sinceitisimpossibletomaketheslitsinfinitelynarrow,arangeoffrequencies,ratherthanjustasinglefrequency,
fallsonthedetectoratanygivenpositionofthegrating.Additionally,noenergytransitionsinatomsandmolecules
areabsolutelysharp,buttheyalwaysoccuroverarangeoffrequencies.Thesefactorscauseabroadeningofthe
spectralabsorption.
•Small peaks and troughs arising from randomly generated electrical signals in the detector, the amplifier, or the pen
recorder, usually collectively referred to as 'noise' on the spectrum.
Signal-to-noise ratio
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Sincealmostallmodernspectrometersusesomeformofelectronicamplificationtomagnifythesignalproducedbythedetector,every
recordedspectrumhasabackgroundofrandomfluctuationscausedbyspuriouselectronicsignalsproducedbythesourceordetector,or
generatedintheamplifyingequipment.Thesefluctuationsareusuallyreferredtoas'noise'.Inorderthatarealspectralpeakshouldshow
itselfassuchandbesufficientlydistinguishedfromthenoise,itmusthaveanintensitysomethreeorfourtimesthatofthenoisefluctuations
(ahighsignal-to-noiseratioofthreeorfour).Thisrequirementplacesalowerlimitontheintensityofobservablesignals.
Natural Spectral Line Widths
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Natural Line Widths
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×
Natural Line Widths
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×
×
×
×
×
Natural Line Widths
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Natural Line Widths
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Natural Line Widths
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Natural Line Widths
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Natural Line Widths
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Natural Line Widths
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Natural Line Widths
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Schematic of a grating spectrometer
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Resolving Power
08-09-2024 COD 38Resolving power and slit width
“the ability of an optical instrument to distinguish
between two points that are close together”