Spectroscopy Theory PDF
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This document provides a theoretical introduction to spectroscopy, focusing on the interaction of various types of radiation with substances. It covers wave properties of light, frequency, and wave number, and includes examples related to concepts like wavelength, frequency calculations, and the electromagnetic spectrum.
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Section 1 Spectroscopy is the science that studies the interaction of various types of radiation (light energy) with a substance (atoms and molecules) to be analysed for its identification (i.e qualitative analysis) as well as determination of its amount (i.e quantitative analysis). Electromagneti...
Section 1 Spectroscopy is the science that studies the interaction of various types of radiation (light energy) with a substance (atoms and molecules) to be analysed for its identification (i.e qualitative analysis) as well as determination of its amount (i.e quantitative analysis). Electromagnetic radiation is a type of energy that is transmitted through space at enormous velocities in form of waves. (as light). Light is described as electromagnetic waves of energetic particles ; photons and is usually described in terms of wave properties and photon properties I- Wave properties (Light as a wave) 1- Wave properties : Electromagnetic radiation consists of perpendicularly oscillating electric and magnetic fields that propagate through space along a linear path and with a constant velocity. Figure 1 a) Wavelength , λ , lambda. the lenght of the cycle or wave. It is defined as the distance between two successive maxima or minima. Figure 2. Fig 2 : wavelength and wave amplitude are shown on the electric field oscillation Region Unit Definition X-ray Angstrom unit A0 10-10m UV/ Visible Nanometer nm 10-9m IR Micrometer µm 10-6m b) Wave number , ύ. The number of waves per cm. It is the reciprocal of wavelength expressed in cm-1. ύ = 1/ λ waves / cm c) Frequency , ν The number of waves passing a point in space in one second. ν =c/λ waves per sec. c = velocity of light in vacuum = 3 ×1010cm / sec = 3× 108 m/ sec ν = c / λ = cm.s-1/cm = s-1 or Hertz (Hz) The wave properties of light is described by three parameters 1- λ wavelength 2- ν frequency 3- ύ wave number ύ = 1/λ = ν /c The unit of frequency , ν , is the Hertz (Hz ) which corresponds to one cycle per second. That ,is 1 Hz = s-1 The refractive index η It measures the extent of interaction between electromagnetic radiation and the medium through which it passes For example , η of water at room temp is 1.33 , which means that radiation passes through water at a rate of c/1.33 or 2.26×1010 cm s-1. (In other words light travels 1.33 times slower in water than it does in vacuum) N.B. The velocity and wavelength of radiation become proportionally smaller as the radiation passes from vacuum , or from air , to a denser medium while the frequency remains constant. II- Photons Properties (Light as energy) 2. Photons Properties : - In many radiation / matter interaction , it is useful to consider light as consisting of photons or quanta.(energy packets) - Relation between energy of photon ( E ) to its wavelength , frequency and wave number is E=hν =hc/λ =hcύ Where h is Planck's constant (6.63 ×10-34 J s ). N.B. ν & ύ are directly proportional to E λ is inversely proportional to E i.e. the shorter the wavelength , the greater the energy of the photons and the more powerful the radiation. Example : The λ of the sodium D line is 589 nm. What are the E , ν , ύ for this line ? hc (6.626 × 10-34 J. s ) ( 3.00 × 108 m/s) E = ------ = ----------------------------------------------- λ 5.89 × 10-9 m = 3.37 × 10 -19 J c 3.00 × 108 m/s ν = ------ = ------------------- = 5.09× 1014 s-1 λ 589 × 10-9 ( cycle / sec. ) 1 1 ύ = ------ = -------------------- =1.7 × 10-4 cm-1 λ 589 × 10-7 cm Electromagnetic radiation is divided into different regions based on the type of atomic or molecular transition that gives rise to the absorption or emission of photons. N.B. The boundaries describing electromagnetic spectrum are not rigid, and an overlap between spectral regions is possible. - Regions of electromagnetic spectrum Spectroscopy Absorption spectroscopy When monochromatic beam of ,light bass through a sample cell part will be absorbed - part transmitted - This beam of light is a part of the electromagnetic waves Colorimetry When we have a solution of a colored compound so it can absorb a beam from the visible light region and the absorbed light intensity is directly proportional to the concentration of the compound Spectrophotometry the compounds can absorb a beam from the ultraviolet light region and the absorbed light intensity is also directly proportional to the concentration of the compound 21