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Faculty of Science and Engineering 
Absorption and Fluorescence 
Lecture 
Dr Mark Selby 
E413D (GP) 
m.selby@qut.edu.au
Faculty of Science and Engineering 
Spectrochemical Analysis 
• In spectrochemical analysis, the electromagnetic 
spectrum of radiation is used to identify and/or quantify 
chemical species. 
• A "spectrum" is a plot of some measurable property of 
the radiation, as a function of the frequency f(ν), or 
wavelength, f(λ) , of the radiation . 
For instance, the Near-infrared 
absorbance 
f(λ), spectrum of 
chloroform over the 
wavelength (λ) range 
from 1100 nm to about 
1700 nm shown
Faculty of Science and Engineering 
Spectrochemical Analysis
Faculty of Science and Engineering 
The Star Trek Tricorder 
• The perfect biochemical scanner! 
We don’t have a 
tricorder – BUT 
we do have UV-vis 
absorption 
and Fluorescence 
Spectrometry!
Faculty of Science and Engineering 
Spectrochemical Analysis 
• For a photon of electromagnetic radiation, the frequency 
(ν) is related to the energy by the Planck equation: 
E = h ν 
where E is the energy of the photon, ν is its frequency and 
h is the Planck constant (6.624 × 10-34 J s). 
• Since ν λ = c (where c is the speed of light in vaccuum 
and λ is the wavelength then: 
1 
E  h   
hc hc 
 
c 
 
Faculty of Science and Engineering 
Absorption Spectrophotometry 
• If a beam of radiation is sent into a chemical 
sample, it is possible that the sample will 
absorb some portion of that radiation, as shown 
Thickness 
b 
P 
o Chemical Sample 
P 
Concentration, c 
• The incident radiant power of the beam being 
Po and that transmitted being P.
Faculty of Science and Engineering 
Fundamental Laws For Absorption 
of Radiation 
• The transmission of electromagnetic radiation 
through a sample depends upon the number of 
encounters between photons and species 
capable of absorbing them. This is turn 
depends upon: 
(i) the power of the radiation; 
(ii) the concentration of the sample species and 
(iii) the thickness of the sample container.
Faculty of Science and Engineering 
Fundamental Laws For Absorption 
of Radiation 
Thickness 
b 
P 
o Chemical Sample 
P 
Concentration, c 
• The relationship between radiant power, 
concentration and rate of absorption is known 
as the Beer-Lambert law, or often, simply as 
Beer's Law: 
A = log(I0/I) = εbc
Faculty of Science and Engineering 
Fundamental Laws For Absorption 
of Radiation 
• where I0 is the power of the incident radiation, I is the power of the 
transmitted radiation, A is the absorbance, b is the thickness of the cell, c is 
the concentration (in mol L-1) of the sample and is the molar absorptivity 
constant (in units of mol-1 L cm-1). 
• If the concentration, c, of the sample is expressed in g L-1, then Beer's Law 
can be written as: 
A = log(I0/I) = abc 
• where A is the absorbance (as before) and a is the absorptivity in 
g-1 L cm-1.
Faculty of Science and Engineering 
Fundamental Laws For Absorption 
of Radiation 
• The ratio I/I0 is called the transmittance, 
T, whereas 100T is the percent 
transmittance (%T). 
• Instruments for absorption spectro-photometry 
are generally calibrated in 
terms of both transmittance and 
absorbance: 
• A = log(I0/I) = log(1/T) = log(100/%T).
Faculty of Science and Engineering 
Absorption and Transmittance 
• Absorption (NOT absorbance) and 
transmittance are complementary: 
absorption = 1 – T 
This is usually expressed as a percentage: 
% absorption = 100 - %T
Faculty of Science and Engineering 
Analytical Working Curves 
• It is seldom safe to assume adherence to 
Beer's law. In general, a number of 
calibration standards should be prepared 
and measured in turn. The concentration 
of an unknown sample is then determined 
from an analytical working curve (also 
known as a calibration curve).
Faculty of Science and Engineering 
Analytical Working Curves 
• Example: The determination of formaldehyde by the addition of 
chromatropic acid and conc. sulfuric acid recording the absorbance 
on a spectrophotometer at 570 nm.
Faculty of Science and Engineering 
Deviations from Beer's Law 
Beer’s Law Obeyed 
A 
Conc. of absorbing species 
A 
Deviations from 
Beer’s Law 
c1 
Conc. of absorbing species 
• Generally, the data over a wide range of concentrations will 
deviate from Beer's law, similarly to the plot above. This indicates 
that Beer's law is only applicable up to a concentration of c1.
Faculty of Science and Engineering 
Deviations from Beer's Law 
• Nevertheless, it is still possible to determine the 
concentration of the absorbing substance from 
such a curve. 
• The most common reason for departures from 
Beer's law is the use of non-monochromatic light. 
Beer's law is rigorously applicable only for 
absorption of radiation at a single frequency. 
• In practice, therefore, some deviation from Beer's 
law will generally be found in instrumental 
systems
Faculty of Science and Engineering 
EFFECT OF POLYCHROMATIC 
UV-vis Spectroscopy - 
Dr Mark Selby 
RADIATION 
• In the diagram below, the Beer’s Law 
linear relationship is maintained for Band 
A but not for Band B
Faculty of Science and Engineering 
Single-beam Spectrophotometer 
• Instruments with a continuous source have a dispersing element 
and aperture or slit to select a single wavelength before the light 
passes through the sample. 
• Either type of single-beam instrument, the instrument is 
calibrated with a reference cell containing only solvent to 
determine the I0 value. 
UV-vis Spectroscopy - Dr Mark Selby 
The simplest 
instruments use a 
single-wavelength 
light source, such 
as a light-emitting 
diode (LED), a 
sample container, 
and a photodiode 
detector.
Faculty of Science and Engineering 
Double-beam Spectrophotometer 
•The double-beam design greatly simplifies this process by 
simultaneously measuring I and I0 of the sample and reference 
cells, respectively. Most spectrometers use a mirrored rotating 
chopper wheel to alternately direct the light beam through the 
sample and reference cells. The detection electronics or software 
program can then manipulate the I and I0 values as the 
wavelength scans to produce the spectrum of absorbance or 
transmittance as a function of wavelength. 
UV-vis Spectroscopy - Dr Mark Selby
Faculty of Science and Engineering 
LUMINESCENCE 
SPECTROSCOPY 
Absorption first - 
Followed by emission 
in all directions, u sually 
at a lower frequency
Faculty of Science and Engineering 
LUMINESCENCE 
SPECTROSCOPY 
• Collectively, fluorescence and 
phosphorescence are known as 
photoluminescence. 
• A third type of luminescence - 
Chemiluminescence - is based upon 
emission of light from an excited species 
formed as a result of a chemical reaction.
Faculty of Science and Engineering 
Jablonski Diagram 
(energy levels) 
s2 
SINGLET STATES TRIPLET STATES 
Ground 
State 
    
T 
s1 T 
1 
2 
INTERSYSTEM 
CROSSING 
VIBRATIONAL 
RELAXATION 
FLUORESCENCE PHOSPHORESCENCE 
INTERNAL 
INTERNAL 
CONVERSION CONVERSION
Faculty of Science and Engineering 
Fluorescence and 
Phosphorescence - 1 
• Following absorption of radiation, the 
molecule can lose the absorbed energy by 
several pathways. The particular 
pathway followed is governed by the 
kinetics of several competing reactions. 
(Note: in the next slides 1- 10 you need to 
identify each slide with its place with the 
energy level diagram from the previous 
slide)
Faculty of Science and Engineering 
Fluorescence and 
Phosphorescence - 2 
• One competing process is vibrational 
relaxation which involves transfer of 
energy to neighbouring molecules which 
is very rapid in solution (10-13 sec). 
– In the gas phase, molecules suffer fewer 
collisions and it is more common to see the 
emission of a photon equal in energy to that 
absorbed in a process known as resonance 
fluorescence. 
(Energy level diagram)
Faculty of Science and Engineering 
Fluorescence and 
Phosphorescence - 3 
• In solution, the molecule rapidly relaxes 
to the lowest vibrational energy level of 
the electronic state to which it is excited 
(in this case S2). The kinetically favoured 
reaction in solution is then internal 
conversion which shifts the molecule 
from S2 to an excited vibrational energy 
level in S1. 
(Energy level diagram)
Faculty of Science and Engineering 
Fluorescence and 
Phosphorescence - 4 
• Following internal conversion, the 
molecule loses further energy by 
vibrational relaxation. Because of 
internal conversion and vibrational 
relaxation, most molecules in solution 
will decay to the lowest vibrational 
energy level of the lowest singlet 
electronic state before any radiation is 
emitted. 
(Energy level diagram)
Faculty of Science and Engineering 
Fluorescence and 
Phosphorescence - 5 
• When the molecule has reached the 
lowest vibrational energy level of the 
lowest singlet electronic energy level then 
a number of events can take place: 
(Energy level diagram)
Faculty of Science and Engineering 
Fluorescence and 
Phosphorescence - 6 
• the molecule can lose energy by internal 
conversion without loss of a photon of 
radiation, however, this is the least likely 
event; 
(Energy level diagram)
Faculty of Science and Engineering 
Fluorescence and 
Phosphorescence - 7 
• the molecule can emit a photon of 
radiation equal in energy to the difference 
in energy between the singlet electronic 
level and the ground-state, this is termed 
fluorescence; 
(Energy level diagram)
Faculty of Science and Engineering 
Fluorescence and 
Phosphorescence - 8 
• the molecule can undergo intersystem 
crossing which involves and electron spin 
flip from the singlet state into a triplet 
state. Following this the molecule decays 
to the lowest vibrational energy level of 
the triplet state by vibrational relaxation; 
(Energy level diagram)
Faculty of Science and Engineering 
Fluorescence and 
Phosphorescence - 9 
• the molecule can then emit a photon of 
radiation equal to the energy difference 
between the lowest triplet energy level 
and the ground-state in a process known 
as phosphorescence. 
(Energy level diagram)
Faculty of Science and Engineering 
Fluorescence and 
Phosphorescence - 10 
• In fluorescence, the lifetime of the 
molecule in the excited singlet state is 
10-9 to 10-7 sec. 
• In phosphorescence, the lifetime in the 
excited singlet state is 10-6 to 10 sec 
(because a transition from T1 to the 
ground state is spin forbidden). 
(Energy level diagram)
Faculty of Science and Engineering 
Quantum Efficiency 
• Fluorescence, phosphorescence and 
internal conversion are competing 
processes. The fluorescence quantum 
efficiency () and the phosphorescence 
quantum efficiency are defined as the 
fraction of molecules which undergo 
fluorescence and phosphorescence 
respectively. 
(Energy level diagram) 
, 
 
. , 
 
.
Faculty of Science and Engineering 
CONCENTRATION AND 
FLUORESCENCE INTENSITY 
• The power of fluorescent radiation, F, is 
proportional to the radiant power of the 
excitation beam absorbed by the species able to 
undergo fluorescence: 
F = k(I0 - I) 
where I0 is the power incident on the sample, I 
is the power after it traverses a length b of the 
solution and k is a constant which depends upon 
experimental factors and  the quantum 
efficiency of fluorescence.
Faculty of Science and Engineering 
CONCENTRATION AND 
FLUORESCENCE INTENSITY 
• Beer's law can be rearranged to give: 
I/I0 = 10-bc 
where A = bc is the absorbance. 
Substitution gives: 
F = kI0(1 - 10- bc) 
• This is the fluorescence law 
• Unlike Beer’s Law fluorescence isn’t in 
general linear with concentration.
Faculty of Science and Engineering 
CONCENTRATION AND 
FLUORESCENCE INTENSITY 
For low concentration this simplifies to: 
F = kI0 bc 
which demonstrates two important points: 
– that at low concentrations fluorescence 
intensity is proportional to concentration; 
– that fluorescence is proportional to the 
incident power in the incident radiation at the 
absorption frequency.
Faculty of Science and Engineering 
CONCENTRATION AND 
FLUORESCENCE INTENSITY 
F 
c1 
Conc. of fluorescing species 
For a 
concentration 
above c1 the 
calibration 
curve is no 
longer linear.
Faculty of Science and Engineering 
INSTRUMENTATION 
Schematic Diagram of Fluorescence Spectrometer. M1 = 
excitation monochromator, M2 emission monochromator, 
L light source. s = sample cell, PM photo multiplier 
detector.
Faculty of Science and Engineering 
INSTRUMENTATION 
• The fluorescence is often viewed at 90° 
orientation (in order to minimise interference 
from radiation used to excite the fluorescence). 
• The exciting wavelength is provided by an 
intense source such as a xenon arc lamp 
(remember F  I0). 
• Two wavelength selectors are required - filters 
(in fluorimeters) or monochromators (in 
spectrofluorometers).
Faculty of Science and Engineering 
Types of Fluorescent Molecules 
• Experimentally it is found that fluorescence is 
favoured in rigid molecules, eg., 
phenolphthalein and fluorescein are structurally 
similar as shown below. However, fluorescein 
shows a far greater fluorescence quantum 
efficiency because of its rigidity. 
• 
phenolphthalein
Faculty of Science and Engineering 
Types of Fluorescent Molecules 
• It is thought that the extra rigidity 
imparted by the bridging oxygen group in 
Fluorescein reduces the rate of 
nonradiative relaxation so that emission 
by fluorescence has sufficient time to 
occur. 
Fluorescein
Faculty of Science and Engineering 
APPLICATIONS 
A. Determination of polyaromatic hydrocarbons 
– Benzo[a]pyrene is a product of incomplete 
combustion and found in coal tar.
Faculty of Science and Engineering 
APPLICATIONS 
• Benzo[a]pyrene, is a 5- 
ring polycyclic aromatic 
hydrocarbon that is 
mutagenic and highly 
carcinogenic 
• It is found in tobacco 
smoke and tar 
• The epoxide of this 
molecule intercalates in 
DNA, covalently 
bonding to the guanine 
base nucleotide
Faculty of Science and Engineering 
APPLICATIONS 
Excitation and fluorescence 
spectra for benzo(a)pyrene 
in H2SO4. In the diagram 
the solid line is the 
excitation spectrum (the 
fluorescence signal is 
measured at 545 nm as the 
exciting wavelength is 
varied). The dashed line is 
the fluorescence spectrum 
(the exciting wavelength is 
fixed at 520 nm while the 
wavelength of collected 
fluorescence is varied). 
Benzo(a)pyrene
Faculty of Science and Engineering 
APPLICATIONS 
B. Fluorimetric Drug 
Analysis 
– Many drugs possess 
high quantum 
efficiency for 
fluorescence. For 
example, quinine can 
be detected at levels 
below 1 ppb. 
Quinine
Faculty of Science and Engineering 
APPLICATIONS 
• In addition to ethical 
drugs such as 
quinine, many drugs 
of abuse fluoresce 
directly. For 
example lysergic 
acid diethylamide 
(LSD) whose 
structure is:
Faculty of Science and Engineering 
APPLICATIONS 
Because LSD is active in minute quantities (as little as 50 
g taken orally) an extremely sensitive methods of analysis 
is required. Fluorimetrically LSD is usually determined in 
urine from a sample of about 5mL in volume. The sample 
is made alkaline and the LSD is extracted into an organic 
phase consisting of n-heptane and amyl alcohol. This is a 
"clean-up" procedure that removes potential interferents 
and increases sensitivity. The LSD is then back-extracted 
into an acid solution and measured directly using and 
excitation wavelength of 335 nm and a fluorescence 
wavelength of 435 nm. The limit of detection is 
approximately 1 ppb: An old method – but still a 
goodie in certain circumstances!

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CVB222 UV-vis Absorption and Fluorescence Lecture

  • 1. Faculty of Science and Engineering Absorption and Fluorescence Lecture Dr Mark Selby E413D (GP) m.selby@qut.edu.au
  • 2. Faculty of Science and Engineering Spectrochemical Analysis • In spectrochemical analysis, the electromagnetic spectrum of radiation is used to identify and/or quantify chemical species. • A "spectrum" is a plot of some measurable property of the radiation, as a function of the frequency f(ν), or wavelength, f(λ) , of the radiation . For instance, the Near-infrared absorbance f(λ), spectrum of chloroform over the wavelength (λ) range from 1100 nm to about 1700 nm shown
  • 3. Faculty of Science and Engineering Spectrochemical Analysis
  • 4. Faculty of Science and Engineering The Star Trek Tricorder • The perfect biochemical scanner! We don’t have a tricorder – BUT we do have UV-vis absorption and Fluorescence Spectrometry!
  • 5. Faculty of Science and Engineering Spectrochemical Analysis • For a photon of electromagnetic radiation, the frequency (ν) is related to the energy by the Planck equation: E = h ν where E is the energy of the photon, ν is its frequency and h is the Planck constant (6.624 × 10-34 J s). • Since ν λ = c (where c is the speed of light in vaccuum and λ is the wavelength then: 1 E  h   hc hc  c  
  • 6. Faculty of Science and Engineering Absorption Spectrophotometry • If a beam of radiation is sent into a chemical sample, it is possible that the sample will absorb some portion of that radiation, as shown Thickness b P o Chemical Sample P Concentration, c • The incident radiant power of the beam being Po and that transmitted being P.
  • 7. Faculty of Science and Engineering Fundamental Laws For Absorption of Radiation • The transmission of electromagnetic radiation through a sample depends upon the number of encounters between photons and species capable of absorbing them. This is turn depends upon: (i) the power of the radiation; (ii) the concentration of the sample species and (iii) the thickness of the sample container.
  • 8. Faculty of Science and Engineering Fundamental Laws For Absorption of Radiation Thickness b P o Chemical Sample P Concentration, c • The relationship between radiant power, concentration and rate of absorption is known as the Beer-Lambert law, or often, simply as Beer's Law: A = log(I0/I) = εbc
  • 9. Faculty of Science and Engineering Fundamental Laws For Absorption of Radiation • where I0 is the power of the incident radiation, I is the power of the transmitted radiation, A is the absorbance, b is the thickness of the cell, c is the concentration (in mol L-1) of the sample and is the molar absorptivity constant (in units of mol-1 L cm-1). • If the concentration, c, of the sample is expressed in g L-1, then Beer's Law can be written as: A = log(I0/I) = abc • where A is the absorbance (as before) and a is the absorptivity in g-1 L cm-1.
  • 10. Faculty of Science and Engineering Fundamental Laws For Absorption of Radiation • The ratio I/I0 is called the transmittance, T, whereas 100T is the percent transmittance (%T). • Instruments for absorption spectro-photometry are generally calibrated in terms of both transmittance and absorbance: • A = log(I0/I) = log(1/T) = log(100/%T).
  • 11. Faculty of Science and Engineering Absorption and Transmittance • Absorption (NOT absorbance) and transmittance are complementary: absorption = 1 – T This is usually expressed as a percentage: % absorption = 100 - %T
  • 12. Faculty of Science and Engineering Analytical Working Curves • It is seldom safe to assume adherence to Beer's law. In general, a number of calibration standards should be prepared and measured in turn. The concentration of an unknown sample is then determined from an analytical working curve (also known as a calibration curve).
  • 13. Faculty of Science and Engineering Analytical Working Curves • Example: The determination of formaldehyde by the addition of chromatropic acid and conc. sulfuric acid recording the absorbance on a spectrophotometer at 570 nm.
  • 14. Faculty of Science and Engineering Deviations from Beer's Law Beer’s Law Obeyed A Conc. of absorbing species A Deviations from Beer’s Law c1 Conc. of absorbing species • Generally, the data over a wide range of concentrations will deviate from Beer's law, similarly to the plot above. This indicates that Beer's law is only applicable up to a concentration of c1.
  • 15. Faculty of Science and Engineering Deviations from Beer's Law • Nevertheless, it is still possible to determine the concentration of the absorbing substance from such a curve. • The most common reason for departures from Beer's law is the use of non-monochromatic light. Beer's law is rigorously applicable only for absorption of radiation at a single frequency. • In practice, therefore, some deviation from Beer's law will generally be found in instrumental systems
  • 16. Faculty of Science and Engineering EFFECT OF POLYCHROMATIC UV-vis Spectroscopy - Dr Mark Selby RADIATION • In the diagram below, the Beer’s Law linear relationship is maintained for Band A but not for Band B
  • 17. Faculty of Science and Engineering Single-beam Spectrophotometer • Instruments with a continuous source have a dispersing element and aperture or slit to select a single wavelength before the light passes through the sample. • Either type of single-beam instrument, the instrument is calibrated with a reference cell containing only solvent to determine the I0 value. UV-vis Spectroscopy - Dr Mark Selby The simplest instruments use a single-wavelength light source, such as a light-emitting diode (LED), a sample container, and a photodiode detector.
  • 18. Faculty of Science and Engineering Double-beam Spectrophotometer •The double-beam design greatly simplifies this process by simultaneously measuring I and I0 of the sample and reference cells, respectively. Most spectrometers use a mirrored rotating chopper wheel to alternately direct the light beam through the sample and reference cells. The detection electronics or software program can then manipulate the I and I0 values as the wavelength scans to produce the spectrum of absorbance or transmittance as a function of wavelength. UV-vis Spectroscopy - Dr Mark Selby
  • 19. Faculty of Science and Engineering LUMINESCENCE SPECTROSCOPY Absorption first - Followed by emission in all directions, u sually at a lower frequency
  • 20. Faculty of Science and Engineering LUMINESCENCE SPECTROSCOPY • Collectively, fluorescence and phosphorescence are known as photoluminescence. • A third type of luminescence - Chemiluminescence - is based upon emission of light from an excited species formed as a result of a chemical reaction.
  • 21. Faculty of Science and Engineering Jablonski Diagram (energy levels) s2 SINGLET STATES TRIPLET STATES Ground State     T s1 T 1 2 INTERSYSTEM CROSSING VIBRATIONAL RELAXATION FLUORESCENCE PHOSPHORESCENCE INTERNAL INTERNAL CONVERSION CONVERSION
  • 22. Faculty of Science and Engineering Fluorescence and Phosphorescence - 1 • Following absorption of radiation, the molecule can lose the absorbed energy by several pathways. The particular pathway followed is governed by the kinetics of several competing reactions. (Note: in the next slides 1- 10 you need to identify each slide with its place with the energy level diagram from the previous slide)
  • 23. Faculty of Science and Engineering Fluorescence and Phosphorescence - 2 • One competing process is vibrational relaxation which involves transfer of energy to neighbouring molecules which is very rapid in solution (10-13 sec). – In the gas phase, molecules suffer fewer collisions and it is more common to see the emission of a photon equal in energy to that absorbed in a process known as resonance fluorescence. (Energy level diagram)
  • 24. Faculty of Science and Engineering Fluorescence and Phosphorescence - 3 • In solution, the molecule rapidly relaxes to the lowest vibrational energy level of the electronic state to which it is excited (in this case S2). The kinetically favoured reaction in solution is then internal conversion which shifts the molecule from S2 to an excited vibrational energy level in S1. (Energy level diagram)
  • 25. Faculty of Science and Engineering Fluorescence and Phosphorescence - 4 • Following internal conversion, the molecule loses further energy by vibrational relaxation. Because of internal conversion and vibrational relaxation, most molecules in solution will decay to the lowest vibrational energy level of the lowest singlet electronic state before any radiation is emitted. (Energy level diagram)
  • 26. Faculty of Science and Engineering Fluorescence and Phosphorescence - 5 • When the molecule has reached the lowest vibrational energy level of the lowest singlet electronic energy level then a number of events can take place: (Energy level diagram)
  • 27. Faculty of Science and Engineering Fluorescence and Phosphorescence - 6 • the molecule can lose energy by internal conversion without loss of a photon of radiation, however, this is the least likely event; (Energy level diagram)
  • 28. Faculty of Science and Engineering Fluorescence and Phosphorescence - 7 • the molecule can emit a photon of radiation equal in energy to the difference in energy between the singlet electronic level and the ground-state, this is termed fluorescence; (Energy level diagram)
  • 29. Faculty of Science and Engineering Fluorescence and Phosphorescence - 8 • the molecule can undergo intersystem crossing which involves and electron spin flip from the singlet state into a triplet state. Following this the molecule decays to the lowest vibrational energy level of the triplet state by vibrational relaxation; (Energy level diagram)
  • 30. Faculty of Science and Engineering Fluorescence and Phosphorescence - 9 • the molecule can then emit a photon of radiation equal to the energy difference between the lowest triplet energy level and the ground-state in a process known as phosphorescence. (Energy level diagram)
  • 31. Faculty of Science and Engineering Fluorescence and Phosphorescence - 10 • In fluorescence, the lifetime of the molecule in the excited singlet state is 10-9 to 10-7 sec. • In phosphorescence, the lifetime in the excited singlet state is 10-6 to 10 sec (because a transition from T1 to the ground state is spin forbidden). (Energy level diagram)
  • 32. Faculty of Science and Engineering Quantum Efficiency • Fluorescence, phosphorescence and internal conversion are competing processes. The fluorescence quantum efficiency () and the phosphorescence quantum efficiency are defined as the fraction of molecules which undergo fluorescence and phosphorescence respectively. (Energy level diagram) ,  . ,  .
  • 33. Faculty of Science and Engineering CONCENTRATION AND FLUORESCENCE INTENSITY • The power of fluorescent radiation, F, is proportional to the radiant power of the excitation beam absorbed by the species able to undergo fluorescence: F = k(I0 - I) where I0 is the power incident on the sample, I is the power after it traverses a length b of the solution and k is a constant which depends upon experimental factors and  the quantum efficiency of fluorescence.
  • 34. Faculty of Science and Engineering CONCENTRATION AND FLUORESCENCE INTENSITY • Beer's law can be rearranged to give: I/I0 = 10-bc where A = bc is the absorbance. Substitution gives: F = kI0(1 - 10- bc) • This is the fluorescence law • Unlike Beer’s Law fluorescence isn’t in general linear with concentration.
  • 35. Faculty of Science and Engineering CONCENTRATION AND FLUORESCENCE INTENSITY For low concentration this simplifies to: F = kI0 bc which demonstrates two important points: – that at low concentrations fluorescence intensity is proportional to concentration; – that fluorescence is proportional to the incident power in the incident radiation at the absorption frequency.
  • 36. Faculty of Science and Engineering CONCENTRATION AND FLUORESCENCE INTENSITY F c1 Conc. of fluorescing species For a concentration above c1 the calibration curve is no longer linear.
  • 37. Faculty of Science and Engineering INSTRUMENTATION Schematic Diagram of Fluorescence Spectrometer. M1 = excitation monochromator, M2 emission monochromator, L light source. s = sample cell, PM photo multiplier detector.
  • 38. Faculty of Science and Engineering INSTRUMENTATION • The fluorescence is often viewed at 90° orientation (in order to minimise interference from radiation used to excite the fluorescence). • The exciting wavelength is provided by an intense source such as a xenon arc lamp (remember F  I0). • Two wavelength selectors are required - filters (in fluorimeters) or monochromators (in spectrofluorometers).
  • 39. Faculty of Science and Engineering Types of Fluorescent Molecules • Experimentally it is found that fluorescence is favoured in rigid molecules, eg., phenolphthalein and fluorescein are structurally similar as shown below. However, fluorescein shows a far greater fluorescence quantum efficiency because of its rigidity. • phenolphthalein
  • 40. Faculty of Science and Engineering Types of Fluorescent Molecules • It is thought that the extra rigidity imparted by the bridging oxygen group in Fluorescein reduces the rate of nonradiative relaxation so that emission by fluorescence has sufficient time to occur. Fluorescein
  • 41. Faculty of Science and Engineering APPLICATIONS A. Determination of polyaromatic hydrocarbons – Benzo[a]pyrene is a product of incomplete combustion and found in coal tar.
  • 42. Faculty of Science and Engineering APPLICATIONS • Benzo[a]pyrene, is a 5- ring polycyclic aromatic hydrocarbon that is mutagenic and highly carcinogenic • It is found in tobacco smoke and tar • The epoxide of this molecule intercalates in DNA, covalently bonding to the guanine base nucleotide
  • 43. Faculty of Science and Engineering APPLICATIONS Excitation and fluorescence spectra for benzo(a)pyrene in H2SO4. In the diagram the solid line is the excitation spectrum (the fluorescence signal is measured at 545 nm as the exciting wavelength is varied). The dashed line is the fluorescence spectrum (the exciting wavelength is fixed at 520 nm while the wavelength of collected fluorescence is varied). Benzo(a)pyrene
  • 44. Faculty of Science and Engineering APPLICATIONS B. Fluorimetric Drug Analysis – Many drugs possess high quantum efficiency for fluorescence. For example, quinine can be detected at levels below 1 ppb. Quinine
  • 45. Faculty of Science and Engineering APPLICATIONS • In addition to ethical drugs such as quinine, many drugs of abuse fluoresce directly. For example lysergic acid diethylamide (LSD) whose structure is:
  • 46. Faculty of Science and Engineering APPLICATIONS Because LSD is active in minute quantities (as little as 50 g taken orally) an extremely sensitive methods of analysis is required. Fluorimetrically LSD is usually determined in urine from a sample of about 5mL in volume. The sample is made alkaline and the LSD is extracted into an organic phase consisting of n-heptane and amyl alcohol. This is a "clean-up" procedure that removes potential interferents and increases sensitivity. The LSD is then back-extracted into an acid solution and measured directly using and excitation wavelength of 335 nm and a fluorescence wavelength of 435 nm. The limit of detection is approximately 1 ppb: An old method – but still a goodie in certain circumstances!