Colorful principles of absorption and fluorescence Ctirad Hofr Advanced methods of biophysics in experimental biology 1 Light is electromagnetic waves • Light consists of an electric component and a magnetic component, which oscillate in phase in perpendicular planes • Light is characterized by frequency f and wavelength λ • Frequency f determines how many times per second wave oscilates, unit is Hertz Hz = s-1 • Wavelength determines the spatial period of the wave - the distance over which the wave's shape repeats, expressed in nanometers nm = 10-9 m • Frequence f and wavelength λ is given by c = λ f where c is the speed of light (c=299 792 458 m s-1 in vacuum) • Energy E = h f, where h Planck’s constant (6.626 10-34 J s) 3 4 λ Animation of electromagnetic waves http://www.edumedia-sciences.com/a185_l2-transverse-electromagnetic-wave.html Electromagnetic wave z xy c = λ f c is constant, if wavelength increases, frequency must be reduced to get constant product. Wavelength λ is inversely proportional to the frequency f E = h f The greater the frequency, the greater the energy of the radiation. The greater the wavelength λ, the lower the energy of the radiation. B E 5 Visible spectrum Only a small portion of entire spectrum of radiation is visible. The visible spectrum is bordered by wavelength of 400 nm and 700 nm. http://science.hq.nasa.gov/kids/imagers/ems/visible.html 400 nm 7.5 1014 Hz 700 nm 4.3 1014 Hz 6 Intensity Intensity – the number of photons passing through an unit area in a given direction per unit time 7 Absorpion • A substance absorbs light • For absorption of monochromatic light • Beer-Lamber Law: Absorbance is directly proportional to the concentration and thickness of the solution layer lc II ⋅⋅− ⋅= ε 100 I I lcA 0 10log=⋅⋅= ε ε=molar extinction coefficient, c-concentration, l-length of optical path 8 Absorbance dependence on the relative intensity of the incident and transmitted light 0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 0 1 2 3 4 5 6 7 8 9 10 I0/I Abs 9 Luminiscence • Light emission from a substance; occurs from the electron excited states Luminiscence is divided to: 1.fluorescence 2.phosphorescence According to the origin, luminiscence is divided to 1. photoluminescence 2. chemiluminiscence 10 Fluorescence • Emission from excited singlet states • Practically: fluorescence is observed during excitation and disappears quickly after the shutdown • Time decay τ (Lifetime) is the average time that elapses from the excitation to emission the order of 1 to 10 nanoseconds • note: light traveles 30 cm in 1 ns 11 Phosphorescence • Emission from excited (prohibited) triplet states • Practically: the lifetime of phosphorescence is much longer than the lifetime of fluorescence Lifetime in order of milliseconds to seconds note: light traveles 300 až 300 000 km in that time 12 Frank-Condon principle of laziness of nuclei during absorption Absorption of a photon by an electron (excitation of a molecule) is a very quick process in the order of femtoseconds (10- 15s). Because the atomic nucleus is much heavier than the electron, it doesn’t move during photon absorption. After absorption of a photon – excitation, the whole molecule is in an unstable state („is hot") and vibrates to get rid of energy (to "cool"). 13 Absorption and emission of energy by the molecule Energy 0 1 2 0 1 2 Distance Ground state Excited state 14 Radiative and non-radiative transitions between electronic-vibrational states of a molecule absorption fluorescence phosphorescence λ τ ≈ 10-15 s τ ≈ 10-8 s τ ≈ 10-3-100 s absorption fluorescence phosphorescence T1 S2 inner conversion intersystem conversion S1 Vibration relaxation EnergieE=hf Formation of the absorption = excitation spectrum 15Výukový materiál společnosti Invitrogen Formation of the emission spectrum 16 Výukový materiál společnosti Invitrogen The dependence of the emission spectrum on the excitation light 17 Výukový materiál společnosti Invitrogen 18 19 Stokes shift The emitted light has always lower energy (longer wavelength) than the energy of the absorbed light (smaller λ). Difference between absorption maximum and fluorescence emission maximum of the spectrum is given by specific characteristic of the fluorophore. Formation of Stokes shift 20 Educational material of Invitrogen 21 Stokes law The wavelength of the emitted light is greater than or equal to the wavelength of the excitation light λem ≥ λex This is due to the fact that after the light absorption, a partial loss of energy (heat) often occurs during transition from higher excited electron states to the lowest excited metastable state. λEx 520 nm λEm 560 nm 22 Stokes shift Emission has always smaller energy (longer wavelength) than is absorbed energy (smaller λ). Difference between absorption maximum and fluorescence emission maximum of the spectrum is given by specific characteristic of the fluorophore. 23 Experiment G. G. Stokese Sun Blue glass windows in the church Transmits light with λ < 400 nm Excitation filtr Quinine solution Glass of wine Transmits light with λ > 400 nm Emission filtr G.G. Stokes 1852, Cambridge 24 After filtr exchange – fluorescence disappears After filter exchange, ie. if we put a glass of wine in the path of the sun's rays, transmitted light can no longer excite the solution of quinine. 25 Colorful animated introduction to the principle of fluorescence http://probes.invitrogen.com/resources/educ ation/tutorials/1Intro/player.html 26 Typical fluorophores Fluorophores or fluoreoscent dyes are molecules, that emit fluorescence. Fluorescence is exhibited especially by aromatic compounds (polyaromatic hydrocarbons or heterocycles).. Typical flourophores are for example: •quinine (tonic) •fluorescein, rhodamine B (antifreeze, fluorescent labeling) •POPOP (scintillators) •Acridine orange, ethidium bromide (DNA) •umbelliferone (ELISA) •anthracene, perylene (environmental pollution by oils) 27 The use of fluorescence in geography 28J.R. Lakowicz, Principles of Fluorescence Spectroscopy, Third Edition,Springer, 2006 29 Quantum yield Quantum yield Q is the ratio of emitted and absorbed photons. Indicates the efficiency with which photons excite fluorescence. Quantum yield can be up 1. In fact, it is lower thanks to the non-radiative transitions of molecules from the excited state. Rhodamine flourophores (~1) and fluorescein (0.95) has the highest quantum yields http://www.iss.com/resources/reference/data_tables/FL_QuantumYieldStandards.html Reduction of the quantum yield with temperature-thermal quenching of luminescence – is characteristic 30 Excitation spectrum The dependence of fluorescence intensity on the excitation wavelength at the constant wavelength of the emitted light λEm= const.λEx scan 31 Emission spectrum The dependence of fluorescence intensity on the wavelength at the constant excitation wavelength λEx= const. λEm scan Spectraviewer 32 Unchanged shape of the emission spectrum The shape of the emission spectrum is independent of the excitation wavelength. This phenomenon is due to the fact that the duration of the excited state and the quantum yield of the complex molecules in solution does not depend on the wavelength of the excitation light 33 The shape of the emission spectrum is unchanged at different excitation light http://probes.invitrogen.com/resources/educ ation/tutorials/2Spectra/player.html 34 Mirror symmetry of absorption and excitation spectrum Energy 0 2 0 2 0 1 2 0 1 2 Distance Abs Emis. 0 2 0 10 1 0 2 0 0 Wavelength λ Ground state Excit. state 35 The law of mirror symmetry between absorption and emission spectrum Structure of vibration levels is the same in ground and excited state, therefore the absorption and emission of corresponding vibration levels may occur with equal probability. This results in a mirror symmetry of absorption spectrum and fluorescence emission spectrum. Practically: at very low concentrations of the sample, we can determine the shape of absorption spectrum from flourescent emission spectrum without using the amount of the samples higher in several orders of magnitude. 250 300 350 400 450 500 550 -200 0 200 400 600 800 1000 1200 1400 1600 1800 Excitation Emission FluorescenceIntensity λ Quinine Solution 36 Fluorescent excitation and emission spectrum of the real solution Mirror symmetry distorts during measurements of real samples due to fluorophore ionization at different pH, fluorophore complexation with other molecules in solution, or by simple contribution of other non-fluorescent molecules to the absorption (excitation) spectrum. 37 Next: • What is needed to be able to measure the spectrum of the fluorophore? • How can we detect fluorescent molecules in the gel?