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Instrumental Analysis (CHM4001)
Text book Principles of Instrumental Analysis, 6th Edition, by Dougals A. Skoog and others
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Analytical Chemistry (分析 化學)
Qualitative Analysis Identify chemical signature Supporting other fields Quantitative Analysis Clearly measure content (concentration) Need to understand analytical instruments Instrumentation Develop new analytical instruments Need Combined knowledge
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Instrumental Analysis
Molecular Spectroscopy IR, NIR, Raman, Ultra-Violet/Visible, NMR Fluorescence, Mass Atomic Spectroscopy Atomic Absorption, Atomic Emission Separation GC, HPLC, GPC, Electrophoresis Electrochemical Voltammetry, Potentiometry
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Electromagnetic Radiation
Wave Property (Reflection, Scattering, Diffraction………) Particle Property (Photon) (Emission, Absorption…)
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Wave Parameters
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Important Terminologies
Amplitude (A): Maximum length of electric vector Period (P) : Time (second) required for the passage of successive maxima or minima. Frequency () : Number of oscillation per second (1/P, Hz) wavelength () : Linear distance between two equivalent points Velocity of propagation: vi=i in vacuum c = = 3 ×108 m/s Wavenumber (cm-1) : Reciprocal of wavelength in centimeters Power (P) : energy of the beam reaches a given area per second
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Electromagnetic Spectrum
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Mathematical Descriptions of Wave
y: electric field, A: amplitude, t: time : phase angle, : angular velocity (=2)
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Superposition of Waves
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Constructive Interference:
(1-2)= 0, 360, or n360 Destructive Interference: (1-2)= 180, or 180 + n360
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Same Amplitude, different frequency
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Fourier Transform
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Square Wave
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Magnitude Wavelength
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Diffraction Parallel beam is bent as it passes by a sharp barrier or through a narrow opening Consequence of interference
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Diffraction Grating and Monochromator
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Ml = d sinθ
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n
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Coherent Radiation Two radiations must have identical frequency
Phase relationships must remain constant
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Transmission of Radiation
Velocity of radiation is decreased when it passes a medium The decrease depends on kinds and concentrations of atom, ion, molecules No Frequency change Refractive Index (RI) (liquid:1.3~1.8, solid:1.3~2.5 or higher)
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Transmission of Radiation
Periodic Polarization Temporal deformation of electron cloud by alternating electromagnetic field 10-14 ~ second No net energy change Rate of propagation is slowed Stepwise process involving polalization
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Dispersion Variation of RI with wavelength or frequency Good for Prism
Good for Lens, window
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Refraction Snell’s Law
Abrupt change in light direction from difference in velocity Snell’s Law
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Structure of Optical Fibers
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Reflection Abrupt change in light direction from difference in velocity I0: intensity of incident beam, Ir : reflected intensity
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Scattering Rayleigh Scattering (elastic scattering) - scattering by molecules small than wavelength - proportional to 1/4, (polarizability of the particle)2 Scattering by Large Molecules: Tyndall Effect - determine the size and shape of polymer molecules and colloidal particles Raman Scattering (inelastic scattering) - scattering with frequency change
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Polarization
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Quantum-Mechanical Properties
Photoelectric Effect Photocathode - coated with alkali metals h impinges on the surface - electrons are emitted with a range of kinetic energy Large Voltage - produce a current in circuit Decrease Voltage - small current Stopping Voltage (Vo) - photocurrent = zero
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E = h = eV0 + Work Function () : minimum work needed to eject electron from metal Photocurrent is proportional to the intensity of radiation Stopping voltage depends on the frequency of radiation Stopping voltage depends on the chemical composition of the coating Stopping voltage is independent of the intensity of incident radiation
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Energy States of Chemical Species
Atoms, ions, and molecules can exists only in certain discrete states characterized by definite amounts of energy When atoms, ions, and molecules absorb or emit radiation from one energy state to a second E1 – E0 = h = hc/ Electronic State Vibrational State Rotational State Ground State Excited State
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Emission of radiation M + Energy M* M + h
Bombardment of electron beam X-ray Electrical current, flame, arc, furnance UV, visible, IR Beam of electromagnetic radiation fluorescence Exothermic chemical reaction chemiluminescence
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Line Spectra Band Spectra Continuum Spectra
Radiating from individual atomic particle that are well separated Sharp spectral lines Band Spectra Gaseous radicals or small molecules Not fully resolved Bands from many quantized vibrational levels superimposed on the electronic energy level Continuum Spectra Radiation from heated solid: incandescence Called black-body radiation High temperature needs to emit UV region
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Continuum Spectra
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Absorption of Radiation
Atomic Absorption Molecular Absorption Absorption Induced by a magnetic field E = Eelectronic + Evibrational + Erotational
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Relaxation Process
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Quantitative Aspects of Spectrochemical Measurement
electrical signal (S) radiant power (P) S= k P S= k P + kd dark current (kd ) Signal without radiation
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Transmittance (T) Absorbance (A)
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Beer’s Law a:(absorptivity, L g-1cm-1) b: thickness,
c: concentration(g/L) molar absorptivity (L mol-1cm-1)
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