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Spectroscopy What is Spectroscopy?

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1 Spectroscopy What is Spectroscopy?
The study of the interaction of electro-magnetic radiation with matter. We use spectroscopy as a tool to look indirectly at molecules.

2 Electromagnetic Radiation
Transports energy. Electric and magnetic fields oscillate: that’s the “wave”. Moves at speed of light. Wavelength, frequency, energy all related. E = Electric field H E H = Magnetic field y x z l Direction of propagation Wavelength Wavelength Distance between crests Amplitude Half the height of trough to crest Frequency Number of crests that pass a point in space every second

3 E = h c / l l = c / n n = c / l c = speed of light (3 x 108 m/s)
E = energy l = wavelength n = frequency h = Planck’s constant (4 x eV sec)

4 Energy as wavenumbers (cm-1)
Spectroscopy Each region Wavelength (nm) Energy as wavenumbers (cm-1) Microwave Infrared Visible Ultraviolet X-rays Vibrational transitions 104 105 103 102 10 1 106 107 Rotational Electronic Inner shell Outer shell Different spectroscopic technique The spectroscopic technique used to study a particular transition will depend on the energy difference between the ground and excited states (DE).

5 electronic excitation IR: molecular vibrations
Different frequencies of light (electromagnetic radiation) interact with different aspects molecular motion (potential and kinetic energy). UV-Vis: valance electronic excitation Radio waves: Nuclear spin states (in a magnetic field) X-ray: core electron excitation IR: molecular vibrations

6 Ultraviolet-Visible Spectroscopy
Transitions between energy levels which involve electrons, electronic transitions, between molecular orbitals. In UV/Vis spectroscopy we talk in terms of the wavelength (l) of the transition. Nuc Level 1 Level 2 Level 3 Gain energy Move to level 2 or 3 Lose energy Drop to level 2 or 1 Energy levels of electrons Transitions occur between nm in the UV region nm in the visible region For a transition to occur the incident radiation must have the correct energy to excite the molecule from the ground state to a higher, ‘excited’ state

7 UV-Vis Absorption Spectroscopy
Molecular Geometry Energy S0 (Ground Estate) S1 (Excited Estate) rotational levels vibrational levels hn

8 Important Terms and Symbols in UV-Vis Absorption Spectroscopy
Term and Symbol Radiant Power (P, P0) Absorbance (A) Transmittance (T) Path length (b) Absorptivity (a) Molar absorptivity (e) Definition Energy of radiation Log (P0/P) P/P0 - A/lc Alternative Name and Symbol Radiation Intensity (I, I0) Optical density (OD); Extinction (E) Transmission (T) l, d Extintion coefficient (k) Molar Extintion coefficient

9  c l Beer-Lambert Law A = = absorbance (no units).
= Molar extintion coefficient (M-1 cm-1). = Concentration (M). = pathlength (cm). A c l

10 This ratio represents the probability of photon capture.
Beer-Lambert Law I0 I S l dx Block of absorbing matter A beam of incident intensity I0 passes through length l of an absorbing medium, which decreases the transmitted intensity to I. Considering a cross-section of area S and infinitesimal thickness dx containing dn molecules, each of which has a cross-sectional surface of photon capture of a. Based on the probability of photon capture, we can imagine the total area of the molecular photon capturing surface to be dS, and thus the ratio of photon capture surface area to total surface area is dS/S. This ratio represents the probability of photon capture.

11 Beer-Lambert Law dS S I0 I S l dx = probability of photon capture. Now consider the light intensity passing through distance dx. The intensity entering the section is Ix, proportional to number of photons per square centimeter. Loss of intensity through absorption is given by dIx, which is an absolute quantity; thus the relative loss of power is: dIx Ix (minus sign indicates loss) dIx Ix dS S = The relative loss of power must be equal to the relative probability for capture.

12 dS = adn (concept of absorptivity)
Beer-Lambert Law Note that dS is the sum of all capture areas for all molecules, and must therefore be proportional to the number of molecules dS = adn (concept of absorptivity) where a is the photon capture cross section (molecular absorptivity co-efficient). I0 I S l dx Integrating over all of the molecules within the entire block (to obtain the total absorbance over an infinite number of slices of thickness dx), we get: dIx Ix = Io I adn S n which gives: I I0 = an S -ln I0 I = an 2.303S log Now convert to base 10 and invert the fraction to change the sign:

13 Beer-Lambert Law V l S I0 I anl 2.303V log c n mol x 6.02 x 1023 alc
The cross-sectional area S can be expressed as a volume (cm3 or mL) divided by a length (pathlength b in cm), thus: I0 I S l dx = V l S in cm2 Which leads to: I0 I = anl 2.303V log Finally, since n/V has units of concentration (molecules per cm3), we can convert n/V to moles per liter according to: 1000 cm3/L V(cm3) = c n 6.02 x 1023 mol x Combining everything together, we get: 6.02 x 1023 alc 2.303 x 1000 I0 I = log

14 Beer-Lambert Law  c l  c l 6.02 x 1023 acl 2.303 x 1000 I0 I log A
S l dx 6.02 x 1023 acl 2.303 x 1000 I0 I = log Finally, collecting all of the constants into a single term, , we get: A  c l I0 I = log A  c l = = absorbance (no units). = Molar extintion coefficient (M-1 cm-1). (wavelength dependent) = Concentration (M). = pathlength (cm). c l

15 Limitations / Beer-Lambert Law
Limitations / Beer-Lambert Law 1) Real Limitations Beer-Lambert law is derived on the basis of having a dilute solution. At high concentrations, (>0.01 M) intermolecular interactions can occur between molecules (dipole-dipole interactions), directly altering e. Intermolecular interactions can also occur when secondary species (i.e., salts) interact with charged chromophores, thus altering e. The value of e is also dependent on refractive index of the medium, thus solvent effects on absorbance can be observed (correct using en/(n2 + 2)2 instead of e).

16 Limitations / Beer-Lambert Law
2) Apparent Chemical Deviations Arise as a result of chemical reactions involving the absorbing sample (association, dissociation, oxidation, reduction, addition, elimination, etc…). Classic example is pH sensitive chromophores (indicator dyes). Figure shows the absorbance at 430 nm and 570 nm for a dye that undergoes a protic equilibrium that depends on total dye concentration. 0.00 4.00 8.00 12.00 16.00 0.000 0.200 0.400 0.600 0.800 1.000 Absorbance Indicator (M x 105) l = 430 nm l = 570 nm

17 Limitations / Beer-Lambert Law
3) Instrumental Deviations due to Polychromatic Radiation Strict adherence to Beer-Lambert Law requires perfectly monochromatic light. In cases where the spectral band width of the incoming light is many nanometers, then the sample can have a range of e values. In practice: Narrower spectral bandwidth will lead to better linearity. Taking measurements at the maximum wavelength (at emax) will lead to better linearity. Absorbance Wavelength Concentration Band B Band A

18 Limitations / Beer-Lambert Law
4) Instrumental Deviations due to Stray Light Imperfections in monochromator gratings often lead to – 0.2% stray light. Differs greatly in wavelength from the value of the principal radiation, and may not even pass through sample (i.e., depends on how light-tight the instrument is). Observed absorbance in presence of stray light is given by: 2.5 5.0 7.5 10.0 1.0 2.0 Absorbance Concentration (M x 103) 5 % 1 % 0.2 % 0.0 % Is I0 x 100 % A’ I0 + Is I + Is log = Where Is is the intensity of non-absorbed stray radiation. This leads to a negative deviation in A vs C, as shown in the Figure

19 Reflection losses at interfaces Scattering losses in solution
Measurement of absorbance by molecular samples requires that the sample be placed in some kind of recipient. Reflection of light occurs at four different interfaces, leading to ~8.5% loss in transmitted light. Attenuation of light can also occur via scattering or absorbance by species other than the solution. Reflection losses at interfaces Incident beam, I0 Emergent beam, I Scattering losses in solution

20 Instruments for absorption measurements
Instrument components: UV-VIS signal processor optical source hn1 sample hn2 detector l selector

21 Tungsten filament lamps
Instrument components: UV-VIS Sources A source must: Generate a beam of radiation with sufficient power for easy detection and measurement. Provide output power that is both stable and intense. Types of spectroscopic sources 1. continuous sources Wavelength Relative energy H2 and D2 lamp / Xe arc lamp Tungsten filament lamps 2. lines sources Intensity Hollow cathode lamp Hg vapor lamp / Laser

22 Instrument components: UV-VIS
Sources 6000 K 4000 K 3000 K 2000 K Xenon arc Carbon arc Tungsten lamp Nerst glower Relative energy Wavelength (nm) 500 1000 1500 2000 2500 3000 1 10 102 103 104

23 Instrument components: UV-VIS
Sample containers Glass nm Quartz nm Polystyrene - Visible Metacrylate - UV

24 Instrument components: UV-VIS
Wavelength selectors 1. Filters The simplest method for isolating a narrow band of radiation. 1.1 Interference filters Use constructive and destructive interference to isolate a narrow range of wavelengths. 1.2 Absorption filters Work by selectively absorbing radiation from a narrow region.

25 Instrument components: UV-VIS
Wavelength selectors 2. Monochromators 2.1 Prism Quartz or glass cut at an angle (Refraction). 2.2 Gratings Finely grooved highly reflective surface (Diffraction). Collimating mirrors Entrance slit Exit slit Grating surface l >

26 Instrument components: UV-VIS
Wavelength selectors 0.5 1.0 Absorbance Wavelength Nominal wavelength Effective bandwidth 1/2 Peak height

27 Instrument components: UV-VIS
Detectors The detector changes the radiation transmitted from the UV-Vis Spectrophotometer into a current or voltage. 1. Phototube - + hn e- Light strikes photocathode (-) that emits electrons. Electrons are accelerated towards the anode (+). Current proportional to photons. 2. Photomultiplier Electrons that are accelerated towards a series of increasingly positive anodes (+). Electrons are directed towards the collecting anode. 3. Photodiode array Multi-element detector composed of an array of solid-state detectors.

28 Instrument components: UV-VIS
Signal processors Amplifies the voltage produced by the detector. Converts the voltage into absorbance units.

29 Single beam UV-Vis spectrophotometer
Instruments: UV-VIS Single beam UV-Vis spectrophotometer

30 Double beam UV-Vis spectrophotometer
Instruments: UV-VIS Double beam UV-Vis spectrophotometer

31 Instruments: UV-VIS

32 Ultraviolet-Visible Spectroscopy
Bonding electrons appear in s and p molecular orbitals nonbonding in n Energy s* p* n p s Antibonding Nonbonding Bonding Electronic transitions can occur between various states. The energy of the transitions increases in the following order: (n  p*) < (p  p*) < (n  s*) < (s  s*)

33 Electronic Transitions
Most absorption spectroscopy of organic compounds is based on these transitions. The absorption peaks for these transitions fall in an experimentally convenient region of the spectrum ( nm). These transitions need an unsaturated group in the molecule to provide the p electrons. Excitation from the ground state to the excited state requires EM radiation with a wavelength of 150 nm. Not useful for routine spectroscopy The number of organic functional groups with n  s* peaks in the UV region is small. Excitation requires EM radiation with a wavelength in the range nm. p  p* band n  p* band n  s* band s  s* band

34 Some Spectroscopic Terminology
Chromophore Group on molecule responsible for electronic transition These molecules generally contain conjugated systems. Adjacent double bonds are conjugated. The net effect is to bring the ground state and excited states closer in energy. The longer the chain of conjugation the longer the wavelength of the absorption band. Bathochromic shift Hypsochromic shift Hyperchromic effect Hypochromic effect Shift in absorption to a longer wavelength. Shift in absorption to a shorter wavelength. An increase in the intensity of absorption. An decrease in the intensity of absorption. Some Spectroscopic Terminology

35 Isosbestic Point When one absorbing species reacts to form another absorbing species, there usually is a point(s) at which the spectra cross. This is the isobestic point. Example, acid/base indicators.

36 Absorption Spectra of Biopolymers
Most proteins and nucleic acids are colorless in the visible region, however they absorb in the near-UV region. Chromophores in proteins and nucleic acid absorb light only at wavelengths lower than 300 nm. On the other hand, measurements have to be done in wavelengths longer than 170 nm, below which the absorbance of water becomes too high. UV absorption spectra of proteins There are 3 classes of protein chromophores peptide bonds, amino acid side chains and prosthetic groups. Absorbance Wavelength (nm) 2.0 1.5 1.0 0.5 0.4 0.3 0.2 0.1 250 300 200 4.5 x 10-7 M 2.25 x 10-6 M For a typical protein there is a distinctive absorption peak at 280 nm (due to the p  p* transitions in aromatic amino acids), a stronger one at 190 (due to the p  p* transition in the amide group), and a shoulder at nm (due to the weaker n  π* transition in the amide group).

37 Chromophores in proteins
The peptide bond

38 Amino acid side chains A number of amino acids – Asp, Glu, Asn, Gln, Arg & His have electronic transitions around 210 nm. Usually these cannot be observed in proteins because they are masked by Intense peptide bond absorption. The most useful range for proteins is above 230nm where there are absorptions from the aromatic side chains of Phe, Tyr and Trp. The absorption of Phe is low and if Tyr & Trp are present in a protein it contributes little to the absorption above 230nm. The disulphide group of Cys also has a weak absorption ~250 nm which can be important in protein optical activity. The absorption spectra of Tyr & Trp contain contributions from at least three electronic transitions. Assignment of individual transitions in proteins containing many Tyr and Trp in a variety of environments is not possible.

39 e - Molar absorptivity (M-1 cm-1)
Amino acid side chains The aromatic Trp, Tyr, and Phe are the only residues absorbing significantly at wavelengths higher than 230 nm. The maximum at 280 nm is due to Trp and Tyr. e - Molar absorptivity (M-1 cm-1) Tyrosine Phenylalanine Tryptophan 200 220 240 260 280 300 320 10000 5000 2000 1000 10 20 50 100 500 40000 20000 4000 3000 190 210 230 Alanine Lysine HCl Methionine Wavelength (nm)

40 Absorption Spectra of Biopolymers
SECONDARY STRUCTURE The local environment of the amino acids in a native protein depends on the electric properties of the peptide chain near by and the associated solvent. The resulting change in spectra is sufficient to diagnose whether a protein is folded or not, but CD is more informative. UV spectra of poly-L-lysine hydrochloride (random coil) changes upon formation of secondary structure (raising pH induces helix formation - reducing the net positive charge of the lysine side chain -; raising the temperature induces beta sheet).

41 Absorption Spectra of Biopolymers
Many proteins include prosthetic groups such as iron porphyrins in hemeproteins, flavin in flavoproteins, or phosphate groups, that have strong absorption in the visible and near UV. Because these bands are sensitive to the environment, they can be used in the study of enzymatic reactions. e x 10-4

42 Chromophores in genetic material

43 Absorption Spectra of Biopolymers
UV absorption spectra of nucleic acids The strong near-UV absorption of nucleic acids is due to the purine and pyrimidine bases. The electronic states of these bases are much more complex than those of protein chromophores, and apparent gaussians in the spectra are really composites of several electronic transitions. 180 200 220 240 260 280 300 0.2 0.4 0.6 0.8 1.0 E. coli DNA 82°C Enzymatic digest 25°C Native 25°C l (nm) Absorbance The nucleotides all have similar absorption spectra, dominated by an absorption peak at 260 nm and a shoulder at 200 nm. The free base, the nucleoside (attached to sugar), the nucleotide (attached to a sugar phosphate), and the denatured polynucleotide all have similar spectrum. In general polynucleotides and nucleic acids absorb less per nucleotide that their constituent nucleotides. Also, native double-stranded DNA absorbs less per nucleotide than denatured (melted strands). This results from the interactions between adjacent bases. Stacked base pairs in a double helix absorb less than partially stacked bases in a single strand, which absorb less than the mononucleotides.

44 What determines absorbance?
The absorbance spectrum for a chromophore under standard conditions is only partly determined by its chemical structure. The environment of the chromophore also affects the precise spectrum obtained. pH Solvent polarity Orientation effects Chromophores can act as reporter molecules which can give information about their immediate environment. Defined conditions (pH and solvent). Protonation/deprotonation effects resulting from pH changes or oxidation/reduction effect electron distribution in chromophores. Solvent polarity –Altered spectra in different solvents (DMSO, dioxane, ethylene glycol, glycerol and sucrose) compared to water = Solvent perturbation. Orientation effects result from the relative geometry of neighboring chromophore molecules. E.g. hyperchromicity of nucleic acids.

45 Applications of absorption spectra
Quantitative Reaction rate calculation Standard curve Structural studies Enzymatic Identification Beer-Lambert law to determine concentration. Continuous or stopped. measure concentration. folding, assembly, denaturation, ligand binding pathways, reaction intermediates of compounds (vitamins, hormones) not much use for proteins/nucleic acids, unless they contain groups with absorption in the visible region of spectrum. Immunodetection commercial detection kits.

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