Electromagnetic radiationE
lect
ric
fie
ld s
tre
ng
th
Time or distance
λ
Ae ( )Φ+= tAEe
πν2sin
vacuum) (in νν
λ cv ==
The oscillating electric field:
Wavelength depends on the electromagnetic wave’s velocity:
Electric field component of plane-polarized electromagnetic radiation.
FrequencyThe number of oscillation of an electromagnetic wave per second (ν).
Wavelength
The distance between any two consecutive maxima and minima of an electromagnetic wave (λ).
Wavenumber
The reciprocal of wavelength (1/λ).
vacuum) (in νν
λ ==
Particle properties of electromagnetic
radiation
� When a sample absorbs electromagnetic radiation (consists of a beam of energetic particles called photons), it undergoes a change in energy.
� When a photon is absorbed by a sample, it is “destroyed,” and its energy acquired the sample.
The energy of a photon, in joules, is related to its � The energy of a photon, in joules, is related to its frequency, wavelength, or wavenumber by the following equaions:
s) J106.626 constant sPlanck' ( 34- ⋅×===== hhc
hchE ν
λν
Electromagnetic spectrum
Electromagnetic spectrumThe division of electromagnetic radiation on the basis of a photon’s energy.
Measuring photons as a signal
� Spectroscopy is possible only if the photon’s interaction with the sample leads to a change in one or more of characteristic properties of electromagnetic radiation, including energy, velocity, amplitude, frequency, phase angle, polarization and direction of propagation.
� Two broad class of spectroscopy:� Two broad class of spectroscopy:� Energy is transferred between a photon of electromagnetic
radiation and the analyte, promoting the analyte from a lower-energy state to a higher-energy, or excited, state.
� The electromagnetic radiation undergoes a change in amplitude, phase angle, polarization, or direction of propagation as a result of its refraction, reflection, scattering, diffraction, or dispersion by the sample.
Spectroscopies involving energy exchange
Type of energy transfer EM spectrum Spectroscopy technique
absorption γ-ray Mossbauer spectroscopy
X-ray X-ray absorption spectroscopy
UV/Vis UV/vis spectroscopyAtomic absorption spectroscopy
infrared Infrared spectroscopyRaman spectroscopyRaman spectroscopy
microwave Microwave spectroscopyElectron spin resonance
spectroscopy
Radio waves Nuclear magnetic resonance spectroscopy
Emission (thermal excitation) UV/Vis Atomic emission spectroscopy
photoluminescence X-ray X-ray fluoroscence
UV/Vis Fluoroscence spectroscopyPhosphorescence spectroscopyAtomic fluoroscence spectroscopy
Photon measurement
� Absorbance:
� the attenuation of photons as they pass through a sample (A).
� Absorbance spectrum:
� a graph of a sample’s absorbance of electromagnetic radiation versus wavelength (or frequency or wavenumber).
Emission: � Emission:
� the release of a photon when an analyte returns to a lower-energy state from a higher-energy state.
Spectroscopies that don’t involve exchange
energy
Region of EM spectrum Type of interaction Spectroscopy technique
X-ray Diffraction X-ray diffraction
UV/Vis Refraction Refractometry
Scattering Nephelometry
Turbidimetry
dispersion Optical rotary dispersion
Basic components of spectroscopic
instrumentation
� Sources of energy� Electromagnetic radiation: (i) continuum source, emits radiation over a wide
range of wavelengths; (ii) line sources, emit radiation at a few selected, narrow wavelengths.
� Thermal energy: flames (2000–3400 K) and plasma (6000–10000 K).
� Chemical sources: exothermic reactions (chemiluminescence, bioluminescence)
� Wavelength selection� Nominal wavelength: the wavelength which a wavelength sector is set to pass.
Effective bandwidth: the width of the band of radiation passing through a � Effective bandwidth: the width of the band of radiation passing through a wavelength selector measured at half the band’s height.
� Resolution: in spectroscopy, the separation between two spectral features, such as absorption or emisson lines.
� Filter: a wavelength selector that uses either absorption, or constructive and destructive interference to control the range of selected wavelengths.
� Monochromator: a wavelength selector that uses a diffraction grating or prism, and that allows for a continuous variation of the nominal wavelength.
� Detectors
� Signal processors
Common sources of electromagnetic
radiation for spectroscopy
Source Wavelength region Useful for
H2 and D2 lamp Continuum from 160–380 nm UV molecular absorption
Tungsten lamp Continuum from 320–2400 nm Vis molecular absorption
Xe arc lamp Continuum from 200–1000 nm molecular fluoroscence
Nernst glower Continuum from 0.4–20 µm IR molecular absorption
Globar Continuum from 1–40 µm IR molecular absorption
Nichrome wire Continuum from 0.75–20 µm IR molecular absorption
Hollow cathode lamp Line source in UV/Vis Atomic absorption
Hg vapor lamp Line source in UV/Vis molecular fluoroscence
Laser Line source in UV/Vis Atomic and molecular absorption, fluoroscence and scattering
Spectroscopy based on absorptio
� Absorbance of electromagnetic radiation
� A beam of electromagnetic radiation passes through a sample in which much of the radiation is transmitted without a loss in intensity. At selected frequencies, the radiation is attenuated (the process is called absorption).
� Transmittance and absorbance� Transmittance and absorbance
� The attenuation of electromagnetic radiation as it passes through a sample is described quantitatively by two separate, but related terms: transmittance and absorbance.
� Transmittance: the ratio of the electromagnetic radiation’s power exiting the sample to that incident on the sample from the source.
Absorbance of electromagnetic radiation
• N=1 is the ground state of the atom. All other values of N represent various excited states. When an electron falls through paths a, b, c, or d, the atom emits visible light.
• If the atom absorbs energy, the orbit of the electron increases because the atom is in an excited state. If the atom emits energy, the electron falls into a more stable orbit closer
Energy level diagram showing difference between the absorption of IR, visible and UV radiations.
electron falls into a more stable orbit closer to the nucleus.
• When the electron falls from an outer to an inner orbit, the atom emits light. The energy of the emitted light is equal to the energy lost by the electron in its fall. The light may be ultraviolet, visible, or infrared. In the visible range it appears as a series of lines.
Infrared spectra
(a)
(b)
(c)
%Tr
an
smit
tan
ce
2410
1090
10601180
2915
621640C=O
CH2NH
Si–O–Si
0
1
2
3
4
5
6
7
8
9
10
Tran
smitt
ance
(%)
1022.313176.87
442580
OH
Fe3O4
Wavenumbers (cm-1)
500750100012501500175020002500300035004000
FTIR spectra of (a) silica, (b) gelatin and (c) silica-gelatin (Setyawan & Balgis, Asia-Pac
J Chem Eng, 2011, in press).
0
400900140019002400290034003900
Wavenumber (cm-1)
FTIR spectrum of magnetite particles preparedby electrochemical method (Fajaroh et al., Adv Powder
Technol, 2011, in press).
• The energy of IR radiation is sufficient to produce a change in the vibrational energy of a molecule or polyatomic ion.
• The energy for allowed vibrational modes, Ev, is
02
1 νhNEv
+=frequency lvibrationa lfundamenta sbond'
. . . 2, 1, 0, number quantum lvibrationa
0 ===
νN
UV/Vis spectra for molecules and ions
• When a molecule or ion absorbs UV or visible radiation it undergoes a change in its valence electron configuration.
• The valence electrons in organic molecules, and inorganic anions such as CO32-, occupy
quantized sigma bonding, σ, pi bonding, π, and nonbonding, n, molecular orbitals.• Unoccupied sigma antibonding, σ*, and pi antibonding, π*, molecular orbitals often lie
close enough in energy that the transition of an electron rom an occupied to n unoccupied orbital is possible.
UV/Vis spectra for molecules and ions
Transmittancethe ratio of the electromagnetic radiation’s power exiting the sample to that incident on the sample from the source
0P
PT
T= sample
P0 PTMultiplying the transmittance by 100 gives the percent transmittance (%T), which varies between 100% (no absorption) and 0% between 100% (no absorption) and 0% (complete absorption).
AbsorbanceAn alternative method for expressing the attenuation of electromagnetic radiation is absorbance, A, which is defined as
T
T
P
P
P
PTA
0
0
logloglog =−=−=
The more common unit for expressing the attenuation of radiation because it is a linear function of analyte’s concentration.
Absorbance and concentration: Beer’s law
When monochromatic electromagnetic radiation passes through an infinitesimally thin layer of sample, of thickness dx, it experiences a decrease in power of dP. The fractional decrease in power is proportional to the sample’s thickness and the analyte’s concentration, C; thus
CdxP
dP α=− • P = power incident on the thin layer sample• α = proportionality constant
∫∫==
=−bxPP
dxCdP
T
α ∫∫==
=−xPP
dxCP
dP
00
α
bCP
P
T
α=
0ln
P0 P P – dP PT
TP
PA
0log=
abCP
P
T
=
0log
abCA =
a = analyte’s absortivity (cm-1 conc-1)
bCA ε= C in molarity, a→ ε (molar absortivity, cm-1 M-1)
Depend on λ
Beer’s law and multicomponent samplesFor a two-component mixture of X and Y, the total absorbance is
YYXXYXtot bCbCAAA εε +=+=
Generalizing, the absorbance for a mixture of n components, Am, is given as
∑∑==
==n
i
ii
n
i
ibCAA
11
m ε
http://terpconnect.umd.edu/~toh/models/
Limitations to Beer’s law
The linearity of the Beer’s law is limited by chemical and instrumental factors. Causes of nonlinearity include:
� deviations in absorptivity coefficients at high concentrations (>0.01M) due to electrostatic interactions between molecules in close proximity
� scattering of light due to particulates in the sample
� fluoresecence or phosphorescence of the sample
� changes in refractive index at high analyte concentration
� shifts in chemical equilibria as a function of concentration
� non-monochromatic radiation, deviations can be minimized by using a relatively flat part of the absorption spectrum such as the maximum of an absorption band
� stray light
UV/Vis Instrumentation
schematic diagram of a double-beam UV/Vis spectrophotometer
schematic diagram of a single-beam UV/Vis spectrophotometer
SpectrophotometerAn instrument for measuring absorbance that uses a monochromator to select the wavelength.
Quantitative applicationsAnalyte Method λλλλ (nm)
Trace metals
aluminum Reaction with Eriochrome cyanide R dye at pH 6produces red to pink complex
535
arsenic Reduce to AsH3 using Zn and react with silver diethyldithiocarbamate to form red complex
535
cadmium Extraction into CHCl3 containing dithizone from sample made basic with NaOH; pink to red complex
518
chromium Oxidize to Cr(VI) and react with diphenylcarbazide in acidic solution to give red-violet product
540give red-violet product
copper React with neocuprine in neutral to slightly acid solution; extract into CHCl3/CH3OH to give yellow solution
457
iron React with o-phenanthroline in acidic solution to form orange-red complex
510
lead Extraction into CHCl3 containing dithizone from sample made basic with ammonical buffer; cherry red complex
510
manganese Oxidize to MnO4- with persulfate 525
mercury Extraction into CHCl3 containing dithizone from acidic sample; orange complex
492
zinc Reaction with zincon at pH 9 to form blue complex 620
Quantitative applications (cont’d)
Analyte Method λλλλ (nm)
Inorganic nonmetals
ammonia Reaction with with ammonia, hypochlorite and phenol produces blue indophenol; catalyzed by manganese salt
630
cyanide Convert to CNCl by reaction with chloramine-T, followed by reaction with a pyridine-barbituric acid to form red-blue dye
578
fluoride Reaction with red Zr-SPADNS lake results in formation of ZrF62- and
decrease in concentration of the lake570
Chlorine (residual)
Oxidation of leuco crystal violet to form product with a bluish color 592(residual)
nitrate Reduction to NO2- by Cd, colored azo dye formed by reaction with
sulfanilamide and N-(1-naphthyl)-ethylenediamine543
phosphate Reaction with ammonium molybdate followed by reduction with stannous chloride to form molybdenum blue
690
Organics
phenol Reaction with 4-aminoantipyrine and K3Fe(CN)6 to form antipyrine dye 460
surfactants Formation of blue ion pair between anionic surfactant and the cationic dye methylene blue, which is extracted into CHCl3
Quantitative applications (Clinical samples)Analyte Method λλλλ (nm)
Total serum protein
Reaction with protein, NaOH and Cu2+ produces blue-violet complex
540
Serum cholesterol
Reaction with Fe3+ in presence of isopropanol, acetic acid and H2SO4 produces blue-violet complex
540
Uric acid Reaction with phosphotungstic acid produces tungsten blue 710
Serum barbiturates
Barbiturates are extracted into CHCl3 and then into 0.45 M NaOH
260
glucose Reaction with o-toludine at 100°C produces blue-green complex 630
Protein-bound iodine
Decompose protein to release iodide; I- determined by ita catalytic effect on redox reaction between Ce4+ and As3+
420