Post on 14-Jan-2016
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Frequency and time dependece of signals
Frequency Domain Spectroscopy – radiant power data are recorded as a function of frequency (or wavelength).
Time Domain Spectroscopy – concerned with changes in radiant power with time. Achieved by Fourier transform.
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Non-Dispersive Methods Fourier-Transform Interferometry
What if we could measure the oscillatingwavefunction of EMR directly?
Frequency DomainTime Domain
FourierTransform
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Fourier composition of a square Fourier composition of a square wave wave
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Direct Measurement:Feasible?
Suppose we had EMR with λ = 10 μm
Hz 103
m 1010
m/s 1000.3
13
6
8
c
Freq
That’s 1 cycle every 33 x 10-15 s(33 femtoseconds!)
Upshot: we can’t measure the oscillatingEMR field directly for optical radiation
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Enter Interferometry
We need a signal that is much slower, so that it can be measured . . . How?
Interfer-ometer
Detector Computer
High Freq.~ 1013 Hz
h h@ f
Low Freq.~ 102 Hz
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Source
Fixed Mirror
Movable mirror
Beam splitting mirror
21 3-1
Detector
Michelson Interferometer
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Resulting Interferogram
δ = pathlength difference (retardation)
δ = 2(M-F)
δ = 2x (mirror displacement)
So, we get maxima when δ = nλ and minima whenδ = ½nλ (recall that the actual mirror movement is ½δ)
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Modulation Frequency• Moving Mirror moves continuously at a fixed velocity (VM), so the signal at the detector will oscillate at a related frequency (f):
If VM = 0.1 cm/s, λ = 10 μm EMR will be modulatedat: f = 2(1.0 x 10-3 m/s)/(10 x 10-6 m) = 200 Hz
f = 2VM/λ
f = (2VM/c)ν
Or:
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To the Frequency Domain!
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From Interferogram toSpectrum
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Why Bother withFT-Interferometry?
1. Signal-to-Noise Enhancement Multiplex Advantage (“Fellgett’s Advantage”)-All wavelengths viewed simultaneously, so
measurement time/resolution element is greater
If measurement is limited by detector noise:
S/N enhancement ∝ (n)1/2
where n = number of resolution elementsChemistry Department, University of
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Multiplex Advantage: Time Suppose we spent 6000 seconds acquiring the
spectrum and we really don’t need the enhancedS/N:
We can get the same S/N as with a dispersive system in 1/(n)1/2 of the time
In this case, this means it would take: 6000 s/54.8 ≈ 110 s
So, 100 minutes (dispersive) versus 2 minutes (FT-interferometry)!
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Fellgett Advantage – all of the resolution elements for a spectrum are measured simultaneously, thus reducing the time required to derive a spectrum at any given signal-to-noise ratio.
Jacquinot Advantage – the large energy throughput ofinterferometric instruments (which have few optical elementsand no slits to attenuate radiation.
High wavelength precision, making signal averaging feasible.
Ease and convenience that data can be computer-manipulated.
Summary of Advantages of Fourier Transform Spectroscopy
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Five components
1. a stable source of radiant energy
2. a transparent container for holding the sample
3. a device that isolates a restricted region of the spectrum for measurement
5. a signal processor and Fiber Optics
Optical instrument
4. a radiation detector
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Detectors for spectroscpic instruments
VAC UV VIS Near IR IR Far IRSpectral region
Detectors
Photondetectors
Thermaldetectors
Photographic plate
Photomultiplier tube
Phototube
Photocell
Silicone diode
Photoconductor
Thermocouple (voltage) or barometer (resistance)
Golay pneumatic cell
Pyroelectric cell (capacitance)
Charge transfer detector
, nm 100 200 400 700 1000 2000 4000 7000 10,000 20,000 40,000
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Detectors convert light energy to an Detectors convert light energy to an electrical signal. electrical signal.
In spectroscopy, they are typically placed In spectroscopy, they are typically placed after a wavelength separator to detect a after a wavelength separator to detect a selected wavelength of light. selected wavelength of light.
Different types of detectors are sensitive in Different types of detectors are sensitive in different parts of the electromagnetic different parts of the electromagnetic spectrum. spectrum.
Radiation Detectors
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high sensitivity high S/N ratio constant response over a considerable range of fast response minimum output signal in the absence of
illumination (low dark current) electric signal directly proportional to the radiation
power
Ideal Detectors
?
radiation power (intensity)dark current
S =kP + kd
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Two major types: one responses to photons, the other to heat
photon detectors: UV, visible, IR(when used for 3 µm or longer , cooling to dry ice
or liquid nitrogen is necessary to avoid interference with thermal signal)
signal results from a series of individual eventsshot noise limited
thermal detectors: IRsignal responds to the average power of the
incident radiationthermal noise limited
Types of radiation detectors
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(a) Photovoltaic cells: radiant energy generates a current atthe interface of a semiconductor layer and a metal;
(b) Phototubes: radiation causes emission of electrons from a photosensitive solid surface;
(c) Phtomultiplier tubes: contain a photoemissive surface as well as several additional surfaces that emit a cascade of electrons when struck by electrons from the photosensitive area;
(d) Photoconductivity detectors: absorption of radiation by a semiconductor produces electrons and holes, thus leading
to enhanced conductivity;
(e) Silicon photodiods: photons increase the conductance across a reverse biased pn junction. Used as diode array to observe the entire spectrum simultaneously
(f) Multichannel photon detector
Photon detectors
Chemistry Department, University of Isfahan
Plastic case
Glass Thin layer of silver
Selenium
Iron
+ -
Barrier Layer CellBarrier Layer Cell
V
Photoelectric EffectPhotoelectric Effect
90 Vdc
Wire anodeCathode
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Vacuum Phototubes
• The number of electrons ejected from a photoemissive surface is directly proportional to the radiant power of the beam striking that surface;
• As the potential applied across the two electrodes of the tube increases, the fraction of the emitted electrons reaching the anode rapidly increases;
• when the saturation potential is achieved, essentially
all the electrons are collected at the anode.
• The current then becomes independent of potential and directly proportional to radiation power. Chemistry Department, University of
Isfahan
Dynode Potential(V) Number of electrons
1 90 10
2 180 100
3 270 103
4 360 104
5 450 105
6 540 106
7 630 107
8 720 108
9 810 109
Anode 900V Gain =108
12
3
4
5
6
8
7
9
Anode
PhotoemissiveCathode
GrillQuartz envelope
+_
900V dc
Anode
PhotoemissiveCathodeDynodes 1-9
To readout
Photomultiplier Tube
Features of Photomplier Tubes
• High sensitivity in UV, Vis, and NIR– Limited by dark current – Cooling to -30oC improves response
• Extremely fast time response
• Limited to measuring low-level signals
p region n region
pn junction
Metal contactLead wire
Fig. 7.30
Silicon DiodeSilicon Diode
Depletion layer
Reverse bias
Silicon diode under Revese BiasSilicon diode under Revese Bias
Forward bias
ee
Silicon Diode under Forward BiasSilicon Diode under Forward Bias
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Photodiode and Photovoltaic Detectors
When a photon strikes a semiconductor, it can
promote an electron from the valence band (filled
orbitals) to the conduction band (unfilled orbitals)
creating an electron(-) - hole(+) pair.
The concentration of these electron-hole pairs is
dependent on the amount of light striking the
semiconductor, making the semiconductor
suitable as an optical detector. Chemistry Department, University of Isfahan
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Semiconductor Detector
A reverse-biased linear diode-array detector:
(a) cross section and
(b) top view.
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Multichannel Photon Detector
Photodiode Arrays
Charge-injection devices
Charge-coupled devices (CCDs)
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Photodiode Array Detectors (PDA)
A photodiode array (PDA) is a linear array of discrete A photodiode array (PDA) is a linear array of discrete photodiodes on an integrated circuit (IC) chip. photodiodes on an integrated circuit (IC) chip.
For spectroscopy it is placed at the image plane of a For spectroscopy it is placed at the image plane of a spectrometer to allow a range of wavelengths to be spectrometer to allow a range of wavelengths to be detected simultaneously. detected simultaneously.
In this regard it can be thought of as an electronic In this regard it can be thought of as an electronic version of photographic film. version of photographic film.
Array detectors are especially useful for recording the Array detectors are especially useful for recording the full uv-vis absorption spectra of samples that are full uv-vis absorption spectra of samples that are rapidly passing through a sample flow cell, such as in rapidly passing through a sample flow cell, such as in an HPLC detector.an HPLC detector.
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Diode Array DetectorsDiode Array Detectors
Advantage
speed
sensitivity
The Multiplex advantage
Disadvantage
resolution is 1 nm, vs 0.1 nm for normal UV
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Five components
1. a stable source of radiant energy
2. a transparent container for holding the sample
3. a device that isolates a restricted region of the spectrum for measurement
4. a radiation detector
Optical instrument
5. a signal processor and Fiber Optics
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Signal processing
An electronic device that amplifies the electric signal from the detector
photon counting:
• has a number of advantages over analog signal: • improved S/N• sensitivity to low radiation level• improved precision for a given time
measurement time
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Fiber Optics
The field of fiber optics depends upon the total internal reflection of light rays traveling through tiny optical fibers.
Once the light is introduced into the fiber, it will continue to reflect almost losslessly off the walls of the fiber and thus can travel long distances in the fiber.
Bundles of such fibers can accomplish imaging of otherwise inaccessible areas.
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Fiber optic
• Optical fibers are circular dielectric waveguides that can transport optical energy and information.
• They have a central core surrounded by a concentric cladding with slightly lower (about 1%) refractive index.
• Fibers are typically made of silica with index modifying dopants such as GeO2.
• total internal reflection• incident angle larger than critical angle• core material: n1; cladding material: n2
• n1 > n2 for total internal reflection
• numerical aperture: a measure of the magnitude of the light gathering ability of the fiber. It also indicates how easy it is to couple light into a fiber.
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Fiber Optics
• Good for transmission of light over long distances• Flexible
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Fiber OpticsChemistry Department, University of Isfahan