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INSTRUMENTAL ANALYSIS
CHEM 4811
CHAPTER 2
DR.AUGUSTINEOFORIAGYEMAN
Assistantprofessorofchemistry
Departmentofnaturalsciences
Claytonstateuniversity
CHAPTER 2
INTRODUCTION TO SPECTROSCOPY
DEFINITIONS
Spectroscopy
- The study of the interactions of electromagnetic radiation
(radiant energy) and matter (molecules, atoms, or ions)
Spectrometry
- Quantitative measurement of the intensity of one or more
wavelengths of radiant energy
Spectrophotometry
- The use of electromagnetic radiation to measure
chemical concentrations
(used for absorption measurements)
Spectrophotometer
- Instrument used for absorption measurements
Optical Spectrometer
- Instrument that consists of prism or grating dispersion devise,
slits, and a photoelectric detector
Photometer
- Instrument that uses a filter for wavelength selection instead
of a dispersion device
DEFINITIONS
ELECTROMAGNETIC RADIATION
- Also known as radiant heat or radiant energy
- One of the ways by which energy travels through space
- Consists of perpendicular electric and magnetic fields that are
also perpendicular to direction of propagation
Examples
heat energy in microwaves
light from the sun
X-ray
radio waves
Gamma
rays
X rays
Ultr-
violet
Infrared Microwaves
Radio frequency
FM Shortwave AM
Visible
Visible Light: VIBGYOR
Violet, Indigo, Blue, Green, Yellow, Orange, Red
400 – 750 nm
- White light is a blend of all visible wavelengths
- Can be separated using a prism
Wavelength (m)
Frequency (s-1)
10-11 103
1020
104
ELECTROMAGNETIC RADIATION
one second
λ1
λ3
λ2
ν1 = 4 cycles/second
ν2 = 8 cycles/second
ν3 = 16 cycles/second
amplitude
peak
trough
ELECTROMAGNETIC RADIATION
node
Wavelength (λ)
- Distance for a wave to go through a complete cycle
(distance between two consecutive peaks or troughs in a wave)
Frequency (ν)
- The number of waves (cycles) passing a given point
in space per second
Cycle
- Crest-to-crest or trough-to-trough
Speed (c)
- All waves travel at the speed of light in vacuum (3.00 x 108 m/s)
ELECTROMAGNETIC RADIATION
ELECTROMAGNETIC RADIATION
Plane Polarized Light
- Light wave propagating along only one axis (confined to one plane)
Monochromatic Light
- Light of only one wavelength
Polychromatic Light
- Consists of more than one wavelength (white light)
Visible light
- The small portion of electromagnetic radiation to which
the human eye responds
- Inverse relationship between wavelength and frequency
λ α 1/ν
c = λ ν
λ = wavelength (m)
ν = frequency (cycles/second = 1/s = s-1 = hertz = Hz)
c = speed of light (3.00 x 108 m/s)
ELECTROMAGNETIC RADIATION
ELECTROMAGNETIC RADIATION
- Light appears to behave as waves and also considered
as stream of particles (the dual nature of light)
- Is sinusoidal in shape
- Light is quantized
Photons
- Particles of light
h = Planck’s constant (6.626 x 10-34 J-s)
ν = frequency of the radiation
λ = wavelength of the radiation
E is proportional to ν and inversely proportional to λ
)
(m
wavenumber
λ
1
ν
~ 1



ν
~
hc
λ
hc
hν
)
(E
photon
one
of
Energy photon 


ELECTROMAGNETIC RADIATION
- Takes place in many ways
- Takes place over a wide range of radiant energies
- Is not visible to the human eye
- Light is absorbed or emitted
- Follows well-ordered rules
- Can be measured with suitable instruments
INTERACTIONS WITH MATTER
INTERACTIONS WITH MATTER
- Atoms, molecules, and ions are in constant motion
Solids
- Atoms or molecules are arranged in a highly ordered array (crystals)
or
arranged randomly (amorphous)
Liquids
- Atoms or molecules are not as closely packed as in solids
Gases
- Atoms or molecules are widely separated from each other
INTERACTIONS WITH MATTER
Molecules
Many types of motion are involved
- Rotation
- Vibration
- Translation (move from place to place)
- These motions are affected when molecules interact
with radiant energy
- Molecules vibrate with greater energy amplitude when
they absorb radiant energy
INTERACTIONS WITH MATTER
Molecules
- Bonding electrons move to higher energy levels when molecules
interact with visible or UV light
- Changes in motion or electron energy levels result in
changes in energy of molecules
Transition
- Change in energy of molecules
(vibrational transitions, rotational transitions, electronic transitions)
INTERACTIONS WITH MATTER
Atoms or Ions
- Move between energy levels or in space but cannot
rotate or vibrate
The type of interactions of materials with radiant energy
are affected by
- Physical state
- Composition (chemical nature)
- Arrangement of atoms or molecules
INTERACTIONS WITH MATTER
Light striking a sample of matter may be
- Absorbed by the sample
- Transmitted through the sample
- Reflected off the surface of the sample
- Scattered by the sample
- Samples can also emit light after absorption (luminescence)
- Species (atoms, ions, or molecules) can exist in certain
discrete states with specific energies
Transmission
- Light passes through matter without interaction
Absorption
- Matter absorbs light energy and moves to a higher energy state
Emission
- Matter releases energy and moves to a lower energy state
Luminescence
- Emission following excitation of molecules or atoms by
absorption of electromagnetic radiation
INTERACTIONS WITH MATTER
Energy
Absorption Emission
Excited
state
Ground
state
INTERACTIONS WITH MATTER
Ground State: The lowest energy state
Excited state: higher energy state (usually short-lived)
INTERACTIONS WITH MATTER
- Change in state requires the absorption or emission of energy
λ
hc
hν
E)
(
energy
in
Change 


- Matter can only absorb specific wavelengths or frequencies
- These correspond to the exact differences in energy between
the two states involved
Absorption: Energy of species increases (ΔE is positive)
Emission: Energy of species decreases (ΔE is negative)
INTERACTIONS WITH MATTER
- Frequencies and the extent of absorption or emission of
species are unique
- Specific atoms or molecules absorb or emit specific frequencies
- This is the basis of identification of species by spectroscopy
Relative energy of transition in a molecule
Rotational < vibrational < electronic
- The are many associated rotational and vibrational sublevels
for any electronic state (absorption occurs in
closely spaced range of wavelenghts)
INTERACTIONS WITH MATTER
Absorption Spectrum
- A graph of intensity of light absorbed versus frequency
or wavelength
- Emission spectrum is obtained when molecules emit energy by
returning to the ground state after excitation
Excitation may include
- Absorption of radiant energy
- Transfer of energy due to collisions between atoms or molecules
- Addition of thermal energy
- Addition of energy from electrical charges
ATOMS AND ATOMIC SPECTROSCOPY
- The electronic state of atoms are quantized
- Elements have unique atomic numbers
(numbers of protons and electrons)
- Electrons in orbitals are associated with various energy levels
- An atom absorbs energy of specific magnitude and a valence
electron moves to the excited state
- The electron returns spontaneously to the ground state
and emits energy
ATOMS AND ATOMIC SPECTROSCOPY
- Emitted energy is equivalent to the absorbed energy (ΔE)
- Each atom has a unique set of permitted electronic energy levels
(due to unique electronic structure)
- The wavelength of light absorbed or emitted are characteristic
of a specific element
- The absorption wavelength range is narrow due to the absence
of rotational and vibrational energies
- The wavelength range falls within the ultraviolet and visible
regions of the spectrum (UV-VIS)
ATOMS AND ATOMIC SPECTROSCOPY
- Wavelengths of absorption or emission are used for
qualitative identification of elements in a sample
- The intensity of light absorbed or emitted at a given wavelength
is used for the quantitative analysis
Atomic Spectroscopy Methods
- Absortion spectroscopy
- Emission spectroscopy
- Fluorescence spectroscopy
- X-ray spectroscopy (makes use of core electrons)
Gamma
rays X rays
Ultr-
violet
Infrared Microwaves
Radio frequency
FM Shortwave AM
Visible
10-11 103
1020
104
Bond
breaking
and
ionization
Electronic
excitation
vibration
rotation
Molecular Processes Occurring in Each Region
MOLECULES AND MOLECULAR SPECTROSCOPY
MOLECULES AND MOLECULAR SPECTROSCOPY
- Energy states are quantized
Rotational Transitions
- Molecules rotate in space and rotational energy is associated
- Absorption of the correct energy causes transition to a higher
energy rotational state
- Molecules rotate faster in a higher energy rotational state
- Rotational spectra are usually complex
MOLECULES AND MOLECULAR SPECTROSCOPY
Rotational Transitions
- Rotational energy of a molecule depends on shape,
angular velocity, and weight distribution
- Shape and weight distribution change with bond angle
- Molecules with more than two atoms have many possible
shapes
- Change in shape is therefore restricted to diatomic molecules
- Associated energies are in the radio and microwave regions
MOLECULES AND MOLECULAR SPECTROSCOPY
Vibrational Transitions
- Atoms in a molecule can vibrate toward or away from each
other at different angles to each other
- Each vibration has characteristic energy associated with it
- Vibrational energy is associated with absorption in the
infrared (IR region)
Increase in rotational energy usually accompanies increase
in vibrational energy
MOLECULES AND MOLECULAR SPECTROSCOPY
Vibrational Transitions
- IR absorption corresponds to changes in both rotational and
vibrational energies in molecules
- IR absorption spectroscopy is used to deduce the structure
of molecules
- Used for both qualitative and quantitative analysis
MOLECULES AND MOLECULAR SPECTROSCOPY
Electronic Transitions
- Molecular orbitals are formed when atomic orbitals
combine to form molecules
- Absorption of the correct radiant energy causes an outer
electron to move to an excited state
- Excited electron spontaneously returns to the ground state
(relax) emitting UV or visible energy
- Excitation in molecules causes changes in the rotational
and vibrational energies
MOLECULES AND MOLECULAR SPECTROSCOPY
Electronic Transitions
- The total energy is the sum of all rotational, vibrational, and
electronic energy changes
- Associated with wide range of wavelengths
(called absorption band)
- UV-VIS absorption bands are simpler than IR spectra
MOLECULES AND MOLECULAR SPECTROSCOPY
Molecular Spectroscopy Methods
- Molecular absorption spectroscopy
- Molecular emission spectroscopy
- Nuclear Magnetic Resonance (NMR)
- UV-VIS
- IR
- MS
- Molecular Fluorescence Spectroscopy
ABSORPTION LAWS
Radiant Power (P)
- Energy per second per unit area of a beam of light
- Decreases when light transmits through a sample
(due to absorption of light by the sample)
Intensity (I)
- Power per unit solid angle
- Light intensity decreases as light passes through an
absorbing material
Transmittance (T)
- The fraction of incident light that passes through a sample
Io I
o
I
I
T 
0 < T < 1
Io = light intensity striking a sample
I = light intensity emerging from sample
ABSORPTION LAWS
Transmittance (T)
- T is independent of Io
- No light absorbed: I = Io and T = 1
- All light absorbed: I = 0 and T = 0
Percent Transmitance (%T)
0% < %T < 100%
100%
x
I
I
%T
o

ABSORPTION LAWS
Absorbance (A)
- No light absorbed: I = Io and A = 0
Percent Absorbance (%A) = 100 - %T
- 1% light absorbed implies 99% light transmitted
- Higher absorbance implies less light transmitted
logT
I
I
log
I
I
log
A
o
o



















ABSORPTION LAWS
Beer’s Law
A = abc
A = absorbance
a = absorptivity
a = ε [molar absorptivity (M-1cm-1) if C is in units of M (mol/L)]
b = pathlength or length of cell (cm)
c = concentration
ABSORPTION LAWS
Beer’s Law
- I or T decreases exponentially with increasing pathlength
- A increases linearly with increasing pathlength
- A increases linearly with increasing concentration
- More intense color implies greater absorbance
- Basis of quantitative measurements (UV-VIS, IR, AAS etc.)
ABSORPTION LAWS
Absorption Spectrum of 0.10 mM Ru(bpy)3
2+
λmax = 452 nm
ABSORPTION LAWS
λmax = 540 nm
Absorption Spectrum of 3.0 mM Cr3+ complex
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
350 400 450 500 550 600
Wavelength (nm)
Absorbance
ABSORPTION LAWS
Maximum Response (λmax)
- Wavelength at which the highest absorbance is observed
for a given concentration
- Gives the greatest sensitivity
ABSORPTION LAWS
Deviations from Beer’s Law
- Deviations from linearity at high concentrations
- Usually used for concentrations below 0.01 M
- Deviations occur if sample scatters incident radiation
- Error increases as A increases
(law generally obeyed when A ≤ 1.0
ABSORPTION LAWS
Calibration
- The relationship between the measured signal (absorbance
in this case) and known concentrations of analyte
- Concentration of an unknown analyte can then be
calculated using the established relationship and
its measured signal
CALIBRATION METHODS
Calibration with External Standards
- Solutions containing known concentrations of analyte are
called standard solutions
- Standard solutions containing appropriate concentration
range are carefully prepared and measured
- Reagent blank is used for instrumental baseline
- A plot of absorbance (y-axis) vs concentration (x-axis) is
made
CALIBRATION METHODS
Calibration with External Standards
CALIBRATION METHODS
Calibration with External Standards
- Equation of a straight line in the form y = mx + z is
established
m = slope = ab
z = intercept on the absorbance axis
- Concentration of unknown analyte should be within working
range (do not extrapolate)
- Must measure at least three replicates and report uncertainty
CALIBRATION METHODS
Method of Standard Additions (MSA)
- Known amounts of analyte are added directly to the
unknown sample
- The increase in signal due to the added analyte is used to
establish the concentration of unknown
- Relationship between signal and concentration of analyte
must be linear
- Analytes are added such that change in volume is negligible
CALIBRATION METHODS
Method of Standard Additions (MSA)
- Different concentrations of analyte are added to different
aliquots of sample
- Nothing is added to the first aliquot (untreated)
- Concentrations in increments of 1.00 is usually used for
simplicity
- Plot of signal vs concentration of analyte is made
CALIBRATION METHODS
curve
n
calibratio
of
slope
sample
untreated
to
due
signal
sample
unknown
of
ion
Concentrat 
Method of Standard Additions (MSA)
Useful
- In emergency situations
- When information about the sample matrix is unknown
- For elimination of certain interferences in the matrix
CALIBRATION METHODS
Internal Standard Calibration
- Signal from internal standard is used to correct for
interferences in an analyte
- The selected internal standard must not be already present
in all samples, blanks, and standard solutions
- Internal standard must not interact with analyte
Internal Standard
- Known amount of a nonanalyte species that is added to all
samples, blanks, and standards
CALIBRATION METHODS
Internal Standard Calibration
- For an analyte (A) and internal standard (S)
Signal ratio (A/S) is plotted against concentration ration (A/S)
Concentration ratio (A/S) of unknown is obtained from the
linear equation
CALIBRATION METHODS
standard
of
(A/S)
ratio
signal
sample
unknown
of
(A/S)
ratio
signal
standard
of
(A/S)
ratio
ion
Concentrat
sample
unknown
of
(A/S)
ratio
ion
Concentrat

Internal Standard Calibration
Corrects errors due to
- Voltage fluctuations
- Loss of analyte during sample preparation
- Change in volume due to evaporation
- Interferences
CALIBRATION METHODS
- Indeterminate (random) errors are associated with all
spectroscopic methods
Examples
- Noise due to instability of light source
- Detector instability
- Variation in placement of cell in light path
- Finger prints on cells
ERRORS ASSOCIATED WITH BEER’S LAW
EVALUATION OF ERRORS
TlogT
T
0.434
c
Δc
ion
concentrat
in
error
Relative



- ΔT is the error in transmittance measurement
- The relative error is high when T is very high or very low
- For greatest accuracy, measurements should be within
15% - 65% T or 0.19 - 0.82 A
- Samples with high concentration (A > 0.82) should be
diluted and those with low concentrations (A < 0.19) should
be concentrated
EVALUATION OF ERRORS
Ringbom Method
(100 – %T) is plotted against log(c)
- The result is an s-shaped curve (Ringbom plot)
- The nearly linear portion of the curve (the steepest portion)
is the working range where error is minimized
(100-%T)
Log(c)
OPTICAL SYSTEMS IN SPECTROSCOPY
Fundamental Concepts of Optical Measurements
- Measurement of absorption or emission of radiation
- Providing information about the wavelength of absorption
or emission
- Providing information about the intensity or absorbance at
the wavelength
OPTICAL SYSTEMS IN SPECTROSCOPY
Main Components of Spectrometers
- Radiation source
- Wavelength selection device
- Sample holder (transparent to radiation)
- Detector
OPTICAL SYSTEMS IN SPECTROSCOPY
- FT spectrometers do not require wavelength selector
- Radiation source is the sample if emission is being measured
- External radiation source is required if absorption is
being measured
- Sample holder is placed after wavelength selector for UV-VIS
absorption spectrometry so that monochromatic light falls
on the sample
- Sample holder is placed before the wavelength selector for IR,
fluorescence, and AA spectroscopy
COMPONENTS OF THE SPECTROMETER
Po P
Light
source
monochromator
(λ selector)
sample readout
detector
b
Absorption (UV-Vis)
Light
source
monochromator
(λ selector)
sample readout
detector
Absorption (IR)
COMPONENTS OF THE SPECTROMETER
Source
& sample
monochromator
(λ selector)
readout
detector
Emission
- Sample is an integral portion of the source
- Used to produce the EM radiation that will be measured
COMPONENTS OF THE SPECTROMETER
Source
λ selector
sample
monochromator
(λ selector)
readout
detector
Fluorescence
COMPONENTS OF THE SPECTROMETER
- Must emit radiation over the entire wavelength range being studied
- Intensity of radiation of the wavelength range should be high
- A reliable and steady power supply is essential to provide
constant signal
- Intensity should not fluctuate over long time intervals
- Intensity should not fluctuate over short time intervals
Flicker: short time fluctuation in source intensity
RADIATION SOURCE
Two types of radiation sources
Continuum Sources
and
Line Sources
RADIATION SOURCE
Continuum Sources
- Emit radiation over a wide range of wavelengths
- Intensity of emission varies slowly as a function of wavelength
- Used for most molecular absorption and fluorescence
spectrometric instruments
Examples
- Tungsten filament lamp (visible radiation)
- Deuterium lamp (UV radiation)
- High pressure Hg lamp (UV radiation)
- Xenon arc lamp (UV-VIS region)
- Heated solid ceramics (IR region)
- Heated wires (IR region)
RADIATION SOURCE
Line Sources
- Emit only a few discrete wavelengths of light
- Intensity is a function of wavelength
- Used for molecular, atomic, and Raman spectroscopy
Examples
- Hollow cathode lamp (UV-VIS region)
- Electrodeless discharge lamp (UV-VIS region)
- Sodium vapor lamp (UV-VIS region)
- Mercury vapor lamp (UV-VIS region)
- Lasers (UV-VIS and IR regions)
RADIATION SOURCE
RADIATION SOURCE
Tungsten Filament Lamp
- Glows at a temperature near 3000 K
- Produces radiation at wavelengths from 320 to 2500 nm
- Visible and near IR regions
Dueterium (D2) Arc Lamp
- D2 molecules are electrically dissociated
- Produces radiation at wavelengths from 200 to 400 nm
- UV region
Mercury and Xenon Arc Lamps
- Electric discharge lamps
- Produce radiation at wavelengths from 200 to 800 nm
- UV and Visible regions
Silicon Carbide (SiC) Rod
- Also called globar
- Electrically heated to about 1500 K
- Produces radiation at wavelengths from 1200 to 40000 nm
- IR region
RADIATION SOURCE
Also for IR Region
- NiChrome wire (750 nm to 20000 nm)
- ZrO2 (400 nm to 20000 nm)
RADIATION SOURCE
Laser
- Produce specific spectral lines
- Used when high intensity line source is required
Can be used for
UV
Visible
FTIR
RADIATION SOURCE
WAVELENGTH SELECTION DEVICES
Two types
Filters
and
Monochromators
FILTERS
- The simplest and most inexpensive
Two major types
Absorption Filters
and
Interference Filters
FILTERS
Absorption Filters
- A piece of colored glass
- Stable, simple and cheap
- Suitable for spectrometers designed to be carried to the field
Disadvantage
- Range of wavelengths transmitted is very broad (50 – 300 nm)
FILTERS
Interference Filters
- Made up of multiple layers of materials
- The thickness and the refractive index of the center layer of the
material control the wavelengths transmitted
- Range of wavelengths transmitted are much smaller (1 – 10 nm)
- Amount of light transmitted is generally higher
- Transmits light in the IR, VIS, and UV regions
MONOCHROMATORS
- Disperse a beam of light into its component wavelengths
- Allow only a narrow band of wavelengths to pass
- Block all other wavelengths
Components
- Dispersion element
- Two slits (entrance and exit)
- Lenses and concave mirrors
MONOCHROMATORS
Dispersion Element
- Disperses (spreads out) the radiation falling on it
according to wavelength
Two main Types
Prisms
and
Gratings
MONOCHROMATORS
Prisms
- Used to disperse IR, VIS, and UV radiations
- Widely used is the Cornu prism (60o-60o-60o triangle)
Examples
Quartz (UV)
Silicate glass (VIS or near IR)
NaCl or KBr (IR)
MONOCHROMATORS
Prisms
- Refraction or bending of incident light occurs when a
polychromatic light hits the surface of the prism
- Refractive index of prism material varies with wavelength
- Various wavelengths are separated spatially as they are
bent at different degrees
- Shorter wavelengths (higher energy) are bent more than
longer wavelengths (lower energy)
MONOCHROMATORS
Diffraction Gratings
- Consists of a series of closely spaced parallel grooves cut
(or ruled) into a hard glass, metallic or ceramic surface
- The surface may be flat or concave
- Reflective coating (e.g. Al) is usually on the ruled surface
- Used for UV-VIS radiation (500 – 5000 grooves/mm) and
IR radiation (50 – 200 grooves/mm)
MONOCHROMATORS
d
Top view Side view
Diffraction Gratings
MONOCHROMATORS
Diffraction Gratings
- Size ranges between 25 x 25 mm to 110 x 110 mm
- Light is dispersed by diffraction due to constructive interference
between reflected light waves
- Separation of light occurs due to different wavelengths being
dispersed (diffracted) at different angles
MONOCHROMATORS
Diffraction Gratings
- Constructive interference occurs when
nλ = d(sini ± sinθ)
n = order of diffraction (integer: 1, 2, 3, …)
λ = wavelength of radiation
d = distance between grooves
i = incident angle of a beam of light
θ = angle of dispersion of light
MONOCHROMATORS
Dispersive Resolution
Resolving Power (R):
- Ability to disperse radiation
- Ability to separate adjacent wavelengths from each other
δλ
λ
R 
λ = average of the wavelengths of the two lines to be resolved
δλ = difference between the two wavelengths
MONOCHROMATORS
Resolution of a Prism
dλ
dη
t
R 
t = thickness of the base of the prism
dη/dλ = rate of change of the refractive index (η) with λ
- Resolving power increases with thickness of the prism and
decreases at longer wavelengths
- Resolution depends on the prism material
MONOCHROMATORS
Resolution of a Grating
R = nN
n = the order
N = total number of grooves in the grating that are illuminated
by light from the entrance slit (whole number)
Increased resolution results from
- Longer gratings
- Smaller groove spacing
- Higher order
MONOCHROMATORS
Dispersion of a Grating
dy
dλ
)
(D
dispersion
Reciprocal 1
-

dλ = change in wavelength
dy = change in distance separating the λs along the dispersion axis
Units: nm/mm
MONOCHROMATORS
nF
d
D 1
-

Dispersion of a Grating
Spectral bandwidth (bandpass) = sD-1
s = slit width of monochromator
d = distance between two adjacent grooves
n = diffraction order
F = focal length of the monochromator system
- D-1 is constant with respect to wavelength
ECHELLE MONOCHROMATOR
Echellette Grating
- Grooved or blazed such that it has relatively broad faces
from which reflection occurs
- Has narrow unused faces
- Provides highly efficient diffraction grating
ECHELLE MONOCHROMATOR
- Contains two dispersion elements arranged in series
- The first is known as echelle grating
- The second (called cross-dispersion) is a low-dispersion
prism or a grating
Echelle grating
- Greater blaze angle
- The short side of the blaze is used rather than the long side
- Relatively coarse grating
- Angle of dispersion (θ) is higher
- Results in 10-fold resolution
OPTICAL SLITS
- Slits are used to select radiation from the light source both
before and after dispersion by the λ selector
- Made of metal in the shape of two knife edges
- Movable to set the desired mechanical width
OPTICAL SLITS
Entrance Slit
- Allows a beam of light (polychromatic) from source to
fall on the dispersion element
- Radiation is collimated into a parallel beam with lenses or
front-faced mirrors
- One (selected) wavelength of light (monochromatic) is focused
on the exit slit after dispersion
OPTICAL SLITS
Exit Slit
- Allows only a very narrow band of light to pass through
sample and detector
- The dispersed light falls on the exit slit
- The light is redirected and focused onto the detector for
intensity measurements
- Slits are kept as close as possible to ensure resolution
CUVET (SAMPLE CELL)
- Cell used for spectrometry
Identical or Optically Matched Cells
- Cells that are identical in their absorbance or transmittance of light
Fused silica Cells (SiO2)
-Transmits visible and UV radiation
Plastic and Glass Cells
- Only good for visible wavelengths
NaCl and KBr Crystals
- IR wavelengths
DETECTORS
- Used to measure the intensity of radiation coming out of the exit slit
- Produces an electric signal proportional to the radiation intensity
- Signal is amplified and made available for direct display
- A sensitivity control amplifies the signal
- Noisy signal is observed when amplification is too much
- May be controlled manually or by a microprocessor
(the use of dynodes)
DETECTORS
Examples
- Phototube (UV)
- Photomultiplier tube (UV-VIS)
- Thermocouple (IR)
- Thermister (IR)
- Silicon photodiode
- Photovoltaic cell
- Charge Transfer Devices (UV-VIS and IR)
Charge-coupled devices (CCDs)
Charge injector devices (CIDs)
SINGLE-BEAM OPTICS
- Usually used for all emission methods where sample is at
the location of the source
Drift
- Slow variation in signal with time
- Can cause errors in single-beam methods
Sources of Drift
- Changes in Voltage which changes source intensity
- Warming up of source with time
- Deterioration of source or detector with time
Single-Beam Spectrometer
- Only one beam of light
- First measure reference or blank (only solvent) as Io
Io I
Light
source
monochromator
(selects λ) sample computer
detector
b
SINGLE-BEAM OPTICS
DOUBLE-BEAM OPTICS
- Widely used
- Beam splitter is used to split radiation into two approximately
equal beams (reference and sample beams)
- Radiation may also alternate between sample and reference
with the aid of mirrors (rotating beam chopper)
- Other variations are available
- The reference cell may be empty or containing the blank
- More accurate since it eliminates drift errors
Double-Beam Spectrometer
- Houses both sample cuvet and reference cuvet
Po
P
Light
source
monochromator
(selects λ) sample computer
detector
reference
b
DOUBLE-BEAM OPTICS
SPECTROPHOTOMETERS
Photodiode Array Spectrophotometers
- Records the entire spectrum (all wavelengths) at once
- Makes use of a polychromator
- The polychromator disperses light into component wavelengths
Dispersive Spectrophotometers
- Records one wavelength at a time
- Makes use monochromator to select wavelength
FOURIER TRANFORM SPECTROPHOTOMETERS
- Have no slits and fewer optical elements
Multiplex
- Instrument that uses mathematical methods to interpret and
present spectrum without dispersion devices
- Wavelengths of interest are collected at a time without dispersion
- The wavelengths and their corresponding intensities overlap
- The overlapping information is sorted out in order to plot a spectrum
FOURIER TRANFORM SPECTROPHOTOMETERS
- Sorting out or deconvoluting the overlapping signals of varying
wavelengths (or frequencies) is a mathematical procedure
called Fourier Analysis
- Fourier Analysis expresses complex spectrum as a sum of sine and
cosine waves varying with time
- Data acquired is Fourier Transformed into the spectrum curve
- The process is computerized and the instruments employing
this approach are called FT spectrometers
FOURIER TRANFORM SPECTROPHOTOMETERS
Advantages of FT Systems
- Produce better S/N ratios (throughput or Jacquinot advantage)
- Time for measurement is drastically reduced
(all λs are measured simultaneously)
- Accurate and reproducible wavelength measurements

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IR-Ch-16-Part-2_IMP.ppt

  • 1. INSTRUMENTAL ANALYSIS CHEM 4811 CHAPTER 2 DR.AUGUSTINEOFORIAGYEMAN Assistantprofessorofchemistry Departmentofnaturalsciences Claytonstateuniversity
  • 3. DEFINITIONS Spectroscopy - The study of the interactions of electromagnetic radiation (radiant energy) and matter (molecules, atoms, or ions) Spectrometry - Quantitative measurement of the intensity of one or more wavelengths of radiant energy Spectrophotometry - The use of electromagnetic radiation to measure chemical concentrations (used for absorption measurements)
  • 4. Spectrophotometer - Instrument used for absorption measurements Optical Spectrometer - Instrument that consists of prism or grating dispersion devise, slits, and a photoelectric detector Photometer - Instrument that uses a filter for wavelength selection instead of a dispersion device DEFINITIONS
  • 5. ELECTROMAGNETIC RADIATION - Also known as radiant heat or radiant energy - One of the ways by which energy travels through space - Consists of perpendicular electric and magnetic fields that are also perpendicular to direction of propagation Examples heat energy in microwaves light from the sun X-ray radio waves
  • 6. Gamma rays X rays Ultr- violet Infrared Microwaves Radio frequency FM Shortwave AM Visible Visible Light: VIBGYOR Violet, Indigo, Blue, Green, Yellow, Orange, Red 400 – 750 nm - White light is a blend of all visible wavelengths - Can be separated using a prism Wavelength (m) Frequency (s-1) 10-11 103 1020 104 ELECTROMAGNETIC RADIATION
  • 7. one second λ1 λ3 λ2 ν1 = 4 cycles/second ν2 = 8 cycles/second ν3 = 16 cycles/second amplitude peak trough ELECTROMAGNETIC RADIATION node
  • 8. Wavelength (λ) - Distance for a wave to go through a complete cycle (distance between two consecutive peaks or troughs in a wave) Frequency (ν) - The number of waves (cycles) passing a given point in space per second Cycle - Crest-to-crest or trough-to-trough Speed (c) - All waves travel at the speed of light in vacuum (3.00 x 108 m/s) ELECTROMAGNETIC RADIATION
  • 9. ELECTROMAGNETIC RADIATION Plane Polarized Light - Light wave propagating along only one axis (confined to one plane) Monochromatic Light - Light of only one wavelength Polychromatic Light - Consists of more than one wavelength (white light) Visible light - The small portion of electromagnetic radiation to which the human eye responds
  • 10. - Inverse relationship between wavelength and frequency λ α 1/ν c = λ ν λ = wavelength (m) ν = frequency (cycles/second = 1/s = s-1 = hertz = Hz) c = speed of light (3.00 x 108 m/s) ELECTROMAGNETIC RADIATION
  • 11. ELECTROMAGNETIC RADIATION - Light appears to behave as waves and also considered as stream of particles (the dual nature of light) - Is sinusoidal in shape - Light is quantized Photons - Particles of light
  • 12. h = Planck’s constant (6.626 x 10-34 J-s) ν = frequency of the radiation λ = wavelength of the radiation E is proportional to ν and inversely proportional to λ ) (m wavenumber λ 1 ν ~ 1    ν ~ hc λ hc hν ) (E photon one of Energy photon    ELECTROMAGNETIC RADIATION
  • 13. - Takes place in many ways - Takes place over a wide range of radiant energies - Is not visible to the human eye - Light is absorbed or emitted - Follows well-ordered rules - Can be measured with suitable instruments INTERACTIONS WITH MATTER
  • 14. INTERACTIONS WITH MATTER - Atoms, molecules, and ions are in constant motion Solids - Atoms or molecules are arranged in a highly ordered array (crystals) or arranged randomly (amorphous) Liquids - Atoms or molecules are not as closely packed as in solids Gases - Atoms or molecules are widely separated from each other
  • 15. INTERACTIONS WITH MATTER Molecules Many types of motion are involved - Rotation - Vibration - Translation (move from place to place) - These motions are affected when molecules interact with radiant energy - Molecules vibrate with greater energy amplitude when they absorb radiant energy
  • 16. INTERACTIONS WITH MATTER Molecules - Bonding electrons move to higher energy levels when molecules interact with visible or UV light - Changes in motion or electron energy levels result in changes in energy of molecules Transition - Change in energy of molecules (vibrational transitions, rotational transitions, electronic transitions)
  • 17. INTERACTIONS WITH MATTER Atoms or Ions - Move between energy levels or in space but cannot rotate or vibrate The type of interactions of materials with radiant energy are affected by - Physical state - Composition (chemical nature) - Arrangement of atoms or molecules
  • 18. INTERACTIONS WITH MATTER Light striking a sample of matter may be - Absorbed by the sample - Transmitted through the sample - Reflected off the surface of the sample - Scattered by the sample - Samples can also emit light after absorption (luminescence) - Species (atoms, ions, or molecules) can exist in certain discrete states with specific energies
  • 19. Transmission - Light passes through matter without interaction Absorption - Matter absorbs light energy and moves to a higher energy state Emission - Matter releases energy and moves to a lower energy state Luminescence - Emission following excitation of molecules or atoms by absorption of electromagnetic radiation INTERACTIONS WITH MATTER
  • 20. Energy Absorption Emission Excited state Ground state INTERACTIONS WITH MATTER Ground State: The lowest energy state Excited state: higher energy state (usually short-lived)
  • 21. INTERACTIONS WITH MATTER - Change in state requires the absorption or emission of energy λ hc hν E) ( energy in Change    - Matter can only absorb specific wavelengths or frequencies - These correspond to the exact differences in energy between the two states involved Absorption: Energy of species increases (ΔE is positive) Emission: Energy of species decreases (ΔE is negative)
  • 22. INTERACTIONS WITH MATTER - Frequencies and the extent of absorption or emission of species are unique - Specific atoms or molecules absorb or emit specific frequencies - This is the basis of identification of species by spectroscopy Relative energy of transition in a molecule Rotational < vibrational < electronic - The are many associated rotational and vibrational sublevels for any electronic state (absorption occurs in closely spaced range of wavelenghts)
  • 23. INTERACTIONS WITH MATTER Absorption Spectrum - A graph of intensity of light absorbed versus frequency or wavelength - Emission spectrum is obtained when molecules emit energy by returning to the ground state after excitation Excitation may include - Absorption of radiant energy - Transfer of energy due to collisions between atoms or molecules - Addition of thermal energy - Addition of energy from electrical charges
  • 24. ATOMS AND ATOMIC SPECTROSCOPY - The electronic state of atoms are quantized - Elements have unique atomic numbers (numbers of protons and electrons) - Electrons in orbitals are associated with various energy levels - An atom absorbs energy of specific magnitude and a valence electron moves to the excited state - The electron returns spontaneously to the ground state and emits energy
  • 25. ATOMS AND ATOMIC SPECTROSCOPY - Emitted energy is equivalent to the absorbed energy (ΔE) - Each atom has a unique set of permitted electronic energy levels (due to unique electronic structure) - The wavelength of light absorbed or emitted are characteristic of a specific element - The absorption wavelength range is narrow due to the absence of rotational and vibrational energies - The wavelength range falls within the ultraviolet and visible regions of the spectrum (UV-VIS)
  • 26. ATOMS AND ATOMIC SPECTROSCOPY - Wavelengths of absorption or emission are used for qualitative identification of elements in a sample - The intensity of light absorbed or emitted at a given wavelength is used for the quantitative analysis Atomic Spectroscopy Methods - Absortion spectroscopy - Emission spectroscopy - Fluorescence spectroscopy - X-ray spectroscopy (makes use of core electrons)
  • 27. Gamma rays X rays Ultr- violet Infrared Microwaves Radio frequency FM Shortwave AM Visible 10-11 103 1020 104 Bond breaking and ionization Electronic excitation vibration rotation Molecular Processes Occurring in Each Region MOLECULES AND MOLECULAR SPECTROSCOPY
  • 28. MOLECULES AND MOLECULAR SPECTROSCOPY - Energy states are quantized Rotational Transitions - Molecules rotate in space and rotational energy is associated - Absorption of the correct energy causes transition to a higher energy rotational state - Molecules rotate faster in a higher energy rotational state - Rotational spectra are usually complex
  • 29. MOLECULES AND MOLECULAR SPECTROSCOPY Rotational Transitions - Rotational energy of a molecule depends on shape, angular velocity, and weight distribution - Shape and weight distribution change with bond angle - Molecules with more than two atoms have many possible shapes - Change in shape is therefore restricted to diatomic molecules - Associated energies are in the radio and microwave regions
  • 30. MOLECULES AND MOLECULAR SPECTROSCOPY Vibrational Transitions - Atoms in a molecule can vibrate toward or away from each other at different angles to each other - Each vibration has characteristic energy associated with it - Vibrational energy is associated with absorption in the infrared (IR region) Increase in rotational energy usually accompanies increase in vibrational energy
  • 31. MOLECULES AND MOLECULAR SPECTROSCOPY Vibrational Transitions - IR absorption corresponds to changes in both rotational and vibrational energies in molecules - IR absorption spectroscopy is used to deduce the structure of molecules - Used for both qualitative and quantitative analysis
  • 32. MOLECULES AND MOLECULAR SPECTROSCOPY Electronic Transitions - Molecular orbitals are formed when atomic orbitals combine to form molecules - Absorption of the correct radiant energy causes an outer electron to move to an excited state - Excited electron spontaneously returns to the ground state (relax) emitting UV or visible energy - Excitation in molecules causes changes in the rotational and vibrational energies
  • 33. MOLECULES AND MOLECULAR SPECTROSCOPY Electronic Transitions - The total energy is the sum of all rotational, vibrational, and electronic energy changes - Associated with wide range of wavelengths (called absorption band) - UV-VIS absorption bands are simpler than IR spectra
  • 34. MOLECULES AND MOLECULAR SPECTROSCOPY Molecular Spectroscopy Methods - Molecular absorption spectroscopy - Molecular emission spectroscopy - Nuclear Magnetic Resonance (NMR) - UV-VIS - IR - MS - Molecular Fluorescence Spectroscopy
  • 35. ABSORPTION LAWS Radiant Power (P) - Energy per second per unit area of a beam of light - Decreases when light transmits through a sample (due to absorption of light by the sample) Intensity (I) - Power per unit solid angle - Light intensity decreases as light passes through an absorbing material
  • 36. Transmittance (T) - The fraction of incident light that passes through a sample Io I o I I T  0 < T < 1 Io = light intensity striking a sample I = light intensity emerging from sample ABSORPTION LAWS
  • 37. Transmittance (T) - T is independent of Io - No light absorbed: I = Io and T = 1 - All light absorbed: I = 0 and T = 0 Percent Transmitance (%T) 0% < %T < 100% 100% x I I %T o  ABSORPTION LAWS
  • 38. Absorbance (A) - No light absorbed: I = Io and A = 0 Percent Absorbance (%A) = 100 - %T - 1% light absorbed implies 99% light transmitted - Higher absorbance implies less light transmitted logT I I log I I log A o o                    ABSORPTION LAWS
  • 39. Beer’s Law A = abc A = absorbance a = absorptivity a = ε [molar absorptivity (M-1cm-1) if C is in units of M (mol/L)] b = pathlength or length of cell (cm) c = concentration ABSORPTION LAWS
  • 40. Beer’s Law - I or T decreases exponentially with increasing pathlength - A increases linearly with increasing pathlength - A increases linearly with increasing concentration - More intense color implies greater absorbance - Basis of quantitative measurements (UV-VIS, IR, AAS etc.) ABSORPTION LAWS
  • 41. Absorption Spectrum of 0.10 mM Ru(bpy)3 2+ λmax = 452 nm ABSORPTION LAWS
  • 42. λmax = 540 nm Absorption Spectrum of 3.0 mM Cr3+ complex 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 350 400 450 500 550 600 Wavelength (nm) Absorbance ABSORPTION LAWS
  • 43. Maximum Response (λmax) - Wavelength at which the highest absorbance is observed for a given concentration - Gives the greatest sensitivity ABSORPTION LAWS
  • 44. Deviations from Beer’s Law - Deviations from linearity at high concentrations - Usually used for concentrations below 0.01 M - Deviations occur if sample scatters incident radiation - Error increases as A increases (law generally obeyed when A ≤ 1.0 ABSORPTION LAWS
  • 45. Calibration - The relationship between the measured signal (absorbance in this case) and known concentrations of analyte - Concentration of an unknown analyte can then be calculated using the established relationship and its measured signal CALIBRATION METHODS
  • 46. Calibration with External Standards - Solutions containing known concentrations of analyte are called standard solutions - Standard solutions containing appropriate concentration range are carefully prepared and measured - Reagent blank is used for instrumental baseline - A plot of absorbance (y-axis) vs concentration (x-axis) is made CALIBRATION METHODS
  • 47. Calibration with External Standards CALIBRATION METHODS
  • 48. Calibration with External Standards - Equation of a straight line in the form y = mx + z is established m = slope = ab z = intercept on the absorbance axis - Concentration of unknown analyte should be within working range (do not extrapolate) - Must measure at least three replicates and report uncertainty CALIBRATION METHODS
  • 49. Method of Standard Additions (MSA) - Known amounts of analyte are added directly to the unknown sample - The increase in signal due to the added analyte is used to establish the concentration of unknown - Relationship between signal and concentration of analyte must be linear - Analytes are added such that change in volume is negligible CALIBRATION METHODS
  • 50. Method of Standard Additions (MSA) - Different concentrations of analyte are added to different aliquots of sample - Nothing is added to the first aliquot (untreated) - Concentrations in increments of 1.00 is usually used for simplicity - Plot of signal vs concentration of analyte is made CALIBRATION METHODS curve n calibratio of slope sample untreated to due signal sample unknown of ion Concentrat 
  • 51. Method of Standard Additions (MSA) Useful - In emergency situations - When information about the sample matrix is unknown - For elimination of certain interferences in the matrix CALIBRATION METHODS
  • 52. Internal Standard Calibration - Signal from internal standard is used to correct for interferences in an analyte - The selected internal standard must not be already present in all samples, blanks, and standard solutions - Internal standard must not interact with analyte Internal Standard - Known amount of a nonanalyte species that is added to all samples, blanks, and standards CALIBRATION METHODS
  • 53. Internal Standard Calibration - For an analyte (A) and internal standard (S) Signal ratio (A/S) is plotted against concentration ration (A/S) Concentration ratio (A/S) of unknown is obtained from the linear equation CALIBRATION METHODS standard of (A/S) ratio signal sample unknown of (A/S) ratio signal standard of (A/S) ratio ion Concentrat sample unknown of (A/S) ratio ion Concentrat 
  • 54. Internal Standard Calibration Corrects errors due to - Voltage fluctuations - Loss of analyte during sample preparation - Change in volume due to evaporation - Interferences CALIBRATION METHODS
  • 55. - Indeterminate (random) errors are associated with all spectroscopic methods Examples - Noise due to instability of light source - Detector instability - Variation in placement of cell in light path - Finger prints on cells ERRORS ASSOCIATED WITH BEER’S LAW
  • 56. EVALUATION OF ERRORS TlogT T 0.434 c Δc ion concentrat in error Relative    - ΔT is the error in transmittance measurement - The relative error is high when T is very high or very low - For greatest accuracy, measurements should be within 15% - 65% T or 0.19 - 0.82 A - Samples with high concentration (A > 0.82) should be diluted and those with low concentrations (A < 0.19) should be concentrated
  • 57. EVALUATION OF ERRORS Ringbom Method (100 – %T) is plotted against log(c) - The result is an s-shaped curve (Ringbom plot) - The nearly linear portion of the curve (the steepest portion) is the working range where error is minimized (100-%T) Log(c)
  • 58. OPTICAL SYSTEMS IN SPECTROSCOPY Fundamental Concepts of Optical Measurements - Measurement of absorption or emission of radiation - Providing information about the wavelength of absorption or emission - Providing information about the intensity or absorbance at the wavelength
  • 59. OPTICAL SYSTEMS IN SPECTROSCOPY Main Components of Spectrometers - Radiation source - Wavelength selection device - Sample holder (transparent to radiation) - Detector
  • 60. OPTICAL SYSTEMS IN SPECTROSCOPY - FT spectrometers do not require wavelength selector - Radiation source is the sample if emission is being measured - External radiation source is required if absorption is being measured - Sample holder is placed after wavelength selector for UV-VIS absorption spectrometry so that monochromatic light falls on the sample - Sample holder is placed before the wavelength selector for IR, fluorescence, and AA spectroscopy
  • 61. COMPONENTS OF THE SPECTROMETER Po P Light source monochromator (λ selector) sample readout detector b Absorption (UV-Vis)
  • 63. Source & sample monochromator (λ selector) readout detector Emission - Sample is an integral portion of the source - Used to produce the EM radiation that will be measured COMPONENTS OF THE SPECTROMETER
  • 65. - Must emit radiation over the entire wavelength range being studied - Intensity of radiation of the wavelength range should be high - A reliable and steady power supply is essential to provide constant signal - Intensity should not fluctuate over long time intervals - Intensity should not fluctuate over short time intervals Flicker: short time fluctuation in source intensity RADIATION SOURCE
  • 66. Two types of radiation sources Continuum Sources and Line Sources RADIATION SOURCE
  • 67. Continuum Sources - Emit radiation over a wide range of wavelengths - Intensity of emission varies slowly as a function of wavelength - Used for most molecular absorption and fluorescence spectrometric instruments Examples - Tungsten filament lamp (visible radiation) - Deuterium lamp (UV radiation) - High pressure Hg lamp (UV radiation) - Xenon arc lamp (UV-VIS region) - Heated solid ceramics (IR region) - Heated wires (IR region) RADIATION SOURCE
  • 68. Line Sources - Emit only a few discrete wavelengths of light - Intensity is a function of wavelength - Used for molecular, atomic, and Raman spectroscopy Examples - Hollow cathode lamp (UV-VIS region) - Electrodeless discharge lamp (UV-VIS region) - Sodium vapor lamp (UV-VIS region) - Mercury vapor lamp (UV-VIS region) - Lasers (UV-VIS and IR regions) RADIATION SOURCE
  • 69. RADIATION SOURCE Tungsten Filament Lamp - Glows at a temperature near 3000 K - Produces radiation at wavelengths from 320 to 2500 nm - Visible and near IR regions Dueterium (D2) Arc Lamp - D2 molecules are electrically dissociated - Produces radiation at wavelengths from 200 to 400 nm - UV region
  • 70. Mercury and Xenon Arc Lamps - Electric discharge lamps - Produce radiation at wavelengths from 200 to 800 nm - UV and Visible regions Silicon Carbide (SiC) Rod - Also called globar - Electrically heated to about 1500 K - Produces radiation at wavelengths from 1200 to 40000 nm - IR region RADIATION SOURCE
  • 71. Also for IR Region - NiChrome wire (750 nm to 20000 nm) - ZrO2 (400 nm to 20000 nm) RADIATION SOURCE
  • 72. Laser - Produce specific spectral lines - Used when high intensity line source is required Can be used for UV Visible FTIR RADIATION SOURCE
  • 73. WAVELENGTH SELECTION DEVICES Two types Filters and Monochromators
  • 74. FILTERS - The simplest and most inexpensive Two major types Absorption Filters and Interference Filters
  • 75. FILTERS Absorption Filters - A piece of colored glass - Stable, simple and cheap - Suitable for spectrometers designed to be carried to the field Disadvantage - Range of wavelengths transmitted is very broad (50 – 300 nm)
  • 76. FILTERS Interference Filters - Made up of multiple layers of materials - The thickness and the refractive index of the center layer of the material control the wavelengths transmitted - Range of wavelengths transmitted are much smaller (1 – 10 nm) - Amount of light transmitted is generally higher - Transmits light in the IR, VIS, and UV regions
  • 77. MONOCHROMATORS - Disperse a beam of light into its component wavelengths - Allow only a narrow band of wavelengths to pass - Block all other wavelengths Components - Dispersion element - Two slits (entrance and exit) - Lenses and concave mirrors
  • 78. MONOCHROMATORS Dispersion Element - Disperses (spreads out) the radiation falling on it according to wavelength Two main Types Prisms and Gratings
  • 79. MONOCHROMATORS Prisms - Used to disperse IR, VIS, and UV radiations - Widely used is the Cornu prism (60o-60o-60o triangle) Examples Quartz (UV) Silicate glass (VIS or near IR) NaCl or KBr (IR)
  • 80. MONOCHROMATORS Prisms - Refraction or bending of incident light occurs when a polychromatic light hits the surface of the prism - Refractive index of prism material varies with wavelength - Various wavelengths are separated spatially as they are bent at different degrees - Shorter wavelengths (higher energy) are bent more than longer wavelengths (lower energy)
  • 81. MONOCHROMATORS Diffraction Gratings - Consists of a series of closely spaced parallel grooves cut (or ruled) into a hard glass, metallic or ceramic surface - The surface may be flat or concave - Reflective coating (e.g. Al) is usually on the ruled surface - Used for UV-VIS radiation (500 – 5000 grooves/mm) and IR radiation (50 – 200 grooves/mm)
  • 82. MONOCHROMATORS d Top view Side view Diffraction Gratings
  • 83. MONOCHROMATORS Diffraction Gratings - Size ranges between 25 x 25 mm to 110 x 110 mm - Light is dispersed by diffraction due to constructive interference between reflected light waves - Separation of light occurs due to different wavelengths being dispersed (diffracted) at different angles
  • 84. MONOCHROMATORS Diffraction Gratings - Constructive interference occurs when nλ = d(sini ± sinθ) n = order of diffraction (integer: 1, 2, 3, …) λ = wavelength of radiation d = distance between grooves i = incident angle of a beam of light θ = angle of dispersion of light
  • 85. MONOCHROMATORS Dispersive Resolution Resolving Power (R): - Ability to disperse radiation - Ability to separate adjacent wavelengths from each other δλ λ R  λ = average of the wavelengths of the two lines to be resolved δλ = difference between the two wavelengths
  • 86. MONOCHROMATORS Resolution of a Prism dλ dη t R  t = thickness of the base of the prism dη/dλ = rate of change of the refractive index (η) with λ - Resolving power increases with thickness of the prism and decreases at longer wavelengths - Resolution depends on the prism material
  • 87. MONOCHROMATORS Resolution of a Grating R = nN n = the order N = total number of grooves in the grating that are illuminated by light from the entrance slit (whole number) Increased resolution results from - Longer gratings - Smaller groove spacing - Higher order
  • 88. MONOCHROMATORS Dispersion of a Grating dy dλ ) (D dispersion Reciprocal 1 -  dλ = change in wavelength dy = change in distance separating the λs along the dispersion axis Units: nm/mm
  • 89. MONOCHROMATORS nF d D 1 -  Dispersion of a Grating Spectral bandwidth (bandpass) = sD-1 s = slit width of monochromator d = distance between two adjacent grooves n = diffraction order F = focal length of the monochromator system - D-1 is constant with respect to wavelength
  • 90. ECHELLE MONOCHROMATOR Echellette Grating - Grooved or blazed such that it has relatively broad faces from which reflection occurs - Has narrow unused faces - Provides highly efficient diffraction grating
  • 91. ECHELLE MONOCHROMATOR - Contains two dispersion elements arranged in series - The first is known as echelle grating - The second (called cross-dispersion) is a low-dispersion prism or a grating Echelle grating - Greater blaze angle - The short side of the blaze is used rather than the long side - Relatively coarse grating - Angle of dispersion (θ) is higher - Results in 10-fold resolution
  • 92. OPTICAL SLITS - Slits are used to select radiation from the light source both before and after dispersion by the λ selector - Made of metal in the shape of two knife edges - Movable to set the desired mechanical width
  • 93. OPTICAL SLITS Entrance Slit - Allows a beam of light (polychromatic) from source to fall on the dispersion element - Radiation is collimated into a parallel beam with lenses or front-faced mirrors - One (selected) wavelength of light (monochromatic) is focused on the exit slit after dispersion
  • 94. OPTICAL SLITS Exit Slit - Allows only a very narrow band of light to pass through sample and detector - The dispersed light falls on the exit slit - The light is redirected and focused onto the detector for intensity measurements - Slits are kept as close as possible to ensure resolution
  • 95. CUVET (SAMPLE CELL) - Cell used for spectrometry Identical or Optically Matched Cells - Cells that are identical in their absorbance or transmittance of light Fused silica Cells (SiO2) -Transmits visible and UV radiation Plastic and Glass Cells - Only good for visible wavelengths NaCl and KBr Crystals - IR wavelengths
  • 96. DETECTORS - Used to measure the intensity of radiation coming out of the exit slit - Produces an electric signal proportional to the radiation intensity - Signal is amplified and made available for direct display - A sensitivity control amplifies the signal - Noisy signal is observed when amplification is too much - May be controlled manually or by a microprocessor (the use of dynodes)
  • 97. DETECTORS Examples - Phototube (UV) - Photomultiplier tube (UV-VIS) - Thermocouple (IR) - Thermister (IR) - Silicon photodiode - Photovoltaic cell - Charge Transfer Devices (UV-VIS and IR) Charge-coupled devices (CCDs) Charge injector devices (CIDs)
  • 98. SINGLE-BEAM OPTICS - Usually used for all emission methods where sample is at the location of the source Drift - Slow variation in signal with time - Can cause errors in single-beam methods Sources of Drift - Changes in Voltage which changes source intensity - Warming up of source with time - Deterioration of source or detector with time
  • 99. Single-Beam Spectrometer - Only one beam of light - First measure reference or blank (only solvent) as Io Io I Light source monochromator (selects λ) sample computer detector b SINGLE-BEAM OPTICS
  • 100. DOUBLE-BEAM OPTICS - Widely used - Beam splitter is used to split radiation into two approximately equal beams (reference and sample beams) - Radiation may also alternate between sample and reference with the aid of mirrors (rotating beam chopper) - Other variations are available - The reference cell may be empty or containing the blank - More accurate since it eliminates drift errors
  • 101. Double-Beam Spectrometer - Houses both sample cuvet and reference cuvet Po P Light source monochromator (selects λ) sample computer detector reference b DOUBLE-BEAM OPTICS
  • 102. SPECTROPHOTOMETERS Photodiode Array Spectrophotometers - Records the entire spectrum (all wavelengths) at once - Makes use of a polychromator - The polychromator disperses light into component wavelengths Dispersive Spectrophotometers - Records one wavelength at a time - Makes use monochromator to select wavelength
  • 103. FOURIER TRANFORM SPECTROPHOTOMETERS - Have no slits and fewer optical elements Multiplex - Instrument that uses mathematical methods to interpret and present spectrum without dispersion devices - Wavelengths of interest are collected at a time without dispersion - The wavelengths and their corresponding intensities overlap - The overlapping information is sorted out in order to plot a spectrum
  • 104. FOURIER TRANFORM SPECTROPHOTOMETERS - Sorting out or deconvoluting the overlapping signals of varying wavelengths (or frequencies) is a mathematical procedure called Fourier Analysis - Fourier Analysis expresses complex spectrum as a sum of sine and cosine waves varying with time - Data acquired is Fourier Transformed into the spectrum curve - The process is computerized and the instruments employing this approach are called FT spectrometers
  • 105. FOURIER TRANFORM SPECTROPHOTOMETERS Advantages of FT Systems - Produce better S/N ratios (throughput or Jacquinot advantage) - Time for measurement is drastically reduced (all λs are measured simultaneously) - Accurate and reproducible wavelength measurements