Atoms and Molecules Lecture Notes PDF
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Loughborough University
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These lecture notes cover a variety of topics related to atoms and molecules, including molecular structure, quantum mechanics, and various wave-particle phenomena. Diagrams and equations aid in understanding. The information is presented by Loughborough University.
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Module structure Fundamentals of light Propagation of light in waveguides Light interaction with matter Lasers Photobiology basics Biophotonics applications Bioimaging Tissue engineering Topics to be covered Atoms and Molecules Molecular level...
Module structure Fundamentals of light Propagation of light in waveguides Light interaction with matter Lasers Photobiology basics Biophotonics applications Bioimaging Tissue engineering Topics to be covered Atoms and Molecules Molecular level interactions Absorption, spontaneous emission, stimulated emission Fate of excited molecules Fluorescence Light scattering Rayleigh, Mie, Raman, spectroscopy At the start ‘Indivisible’ particle – the atom Making up different types of elements ‘Plum pudding’ Democritus Wikipedia Failures of Classical Mechanics Classical Mechanics Areas such as: Blackbody radiation Photoelectric effect Discrete emission bands Quantum Mechanics Quantization of energy Max Planck whole multiples of Revolutionary idea Einstein – the photoelectric effect Planck's constant = 6.626068 × 10-34 m2 kg / s Rutherford model ‘Planetary model’ https://www.britannica.com/science/Rutherford-model/images- videos Bohr model (1913) Distances from the nucleus Different energy Radiation https://physicalsciencepaula.weebly.com/shellslevels.html Electron transitions Photon emission Energy of the photon E=hf Discrete energy Spectroscopy ν (Nu) = frequency P. Atkins and J. de Paula, Physical Chemistry 8th ed., Oxford University Press, 2006 Quantum Mechanics model De Broglie - waves (1924) Schrödinger's wave equations (1926) Orbitals High energy: Complex orbital shape https://courses.lumenlearning.com/chemistryatomsfirst/chapter/ development-of-quantum-theory-2/ Wave-particle duality of matter Matter Particle like behaviour Wave-like behaviour 1 Kinetic Energy mv 2 h 2 Wavelength mv Momentum mv Translational energy Quantized energy described by obtained through classical quantum mechanics mechanics Photons can behave like particles and electrons can behave like waves Parts of the Atom Atoms have electrons, protons and neutrons Electrons (-) and Protons (+) Same mass ~1836 times lighter (rest mass) # electrons = # protons ‘ion’ ‘isotopes’ Filling orbitals with electrons Na Mg Al Si P S Cl Ar n=3 Li Be B C N O F Ne n=2 H He n=1 P. Atkins and J. de Paula, Physical Chemistry 8th ed., Oxford University Press, 2006 Orbital shapes 1s 2s 3s 3p 2p https://winter.group.shef.ac.uk/orbitron/ 3d Allowed transitions in the Hydrogen atom Spectral emission bands Radiative electron transitions Numbers are given by 1/λ P. Atkins and J. de Paula, Physical Chemistry 8th ed., Oxford University Press, 2006 Molecular energies Energies: Electronic Vibrational Rotational Translational Quantized effects Rotational movements Electronic and vibrational energies Molecular potential energy curve Molecular potential energy curve Equilibrium bond length Re Minimum point of the energy curve P. Atkins and J. de Paula, Physical Chemistry 8th ed., Oxford University Press, 2006 Molecular vibrational states Quantized vibrational states Bond disassociation energy Do Finite number of quantized vibrational energy states P. Atkins and J. de Paula, Physical Chemistry 8th ed., Oxford University Press, 2006 Typical normal vibrational modes CO2 H2O Vibrational displacement Linear: 3N-5 vibrational modes Non-linear: 3N-6 vibrational modes How many normal vibrational modes does a diatomic (e.g. H2) molecule have? v1 = symmetric stretch v2 = bending v3 = asymmetric stretch P. Atkins and J. de Paula, Physical Chemistry 8th ed., Oxford University Press, 2006 Summary Energy is absorbed and emitted in discrete quanta; E = hf Quantum mechanics is used to describe the electron orbital ‘shape’ in an atom Electrons can transition between certain energy levels – absorbing or emitting a photon of equal energy in the process A molecule’s bonds can bend and stretch as determined by its vibrational energy