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Lectures on Medical Biophysics Dept. Biophysics Medical faculty,  Masaryk University in Brno
Structure of matter http://www.accessexcellence.org/AE/AEC/CC/historical_background.html Lectures on Medical Biophysics Dept. Biophysics, Medical faculty,  Masaryk University in Brno
Matter and Energy ,[object Object],[object Object]
Elementary Particles of Matter ,[object Object],[object Object],[object Object],[object Object]
The Four Fundamental Energy / Force Fields Strong : weak : electromagnetic : gravitational = 10 40  : 10 15  : 10 3  : 1  (for interaction distance of 10 -15  m, i.e. approx. the diameter of atom nucleus) gravitational electromagnetic strong weak
Photons ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Particles and Field Energy Quanta ,[object Object]
Quantum Mechanics ,[object Object],(http://www.matter.org.uk/diffraction/electron/electron_diffraction.htm) On the left pattern formed on a photographic plate by an ensemble of electrons hitting a crystal lattice. Notice that it is very similar to the diffraction pattern produced by a light wave passed through optical grating.
Quantum Mechanics  tunnel effect :
Quantum Mechanics :  Heisenberg   uncertainty relations ,[object Object],[object Object],[object Object]
Schr ödinger equation (to admire) „ one-dimensional “ S.  equation Radial co-ordinates of an electron in a hydrogen atom    - wave function S.  equation   for   the  electron  in the  hydrogen  a tom according  http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hydsch.html
Solution of the  Schr ö dinger  Equation ,[object Object],[object Object]
Quantum numbers for Hydrogen ,[object Object],[object Object],[object Object],[object Object],[object Object]
Ionisation of Atoms Example of ionisation: photoelectric effect  h.f = E b  + m.v 2 /2 The binding energy of an electron  E b   is the energy that would be required to liberate the electron from its atom  –  depends mainly on the principal quantum number. Secondary electron Primary photon excitation ionisation
Emission Spectra De xcitations  between discrete energy levels result in emitted photons with only certain energies, i.e. radiation of certain frequencies / wavelengths. Visible emission spectrum of  hydrogen . http://chemed.chem.purdue.edu/genchem/topicreview/bp/ch6/bohr.html slits prism Hydrogen discharge tube
Hydrogen spectrum again magenta ,   cyan   and   red   line according h ttp://cwx.prenhall.com/bookbind/pubbooks/hillchem3/medialib/media_portfolio/text_images/CH07/FG07_19.JPG Excitation of electrons Emission of light
Excitation (absorption) Spectra for Atoms Absorption   lines in visible spectrum of sun light . Wavelengths are given in Angstr öms (Å ) = 0.1 nm http://cwx.prenhall.com/bookbind/pubbooks/hillchem3/medialib/media_portfolio/07.html Transitions between discrete energy states !!
Excitation ( A bsorption) Spectrum for Molecules According : http://www.biochem.usyd.edu.au/~gareth/BCHM2001/pracposters/dyeZ.htm A bsorption spectrum of a dye Absorbance Wavelength
Atom nucleus Proton ( atomic )  number  – Z Nucleon  ( mass )  number  – A Neutron  number  – N   N = A - Z Atomic  mass unit  u = 1.66 x 10 -27  kg,  i.e.   the  1/12 of the  carbon  C-12   atom  mass Electric  charge of the nucleus   Q = Z x 1.602 x 10 -19  C If r elative  mass of electron  = 1    Relative mass of proton = 1836      Relative mass of neutron = 1839
Mass defect of nucleus ,[object Object],[object Object],Sources : http://cwx.prenhall.com/bookbind/pubbooks/hillchem3/medialib/media_portfolio/text_images/CH19/FG19_05.JPG http://cwx.prenhall.com/bookbind/pubbooks/hillchem3/medialib/media_portfolio/text_images/CH19/FG19_06.JPG fission nucleon number nuclear synthesis scale change Binding energy per one nucleon [MeV]
Nuclides ,[object Object],[object Object],[object Object],[object Object]
Isotope composition of mercury % of atoms vs. isotope nucleon number According  to: http://cwx.prenhall.com/bookbind/pubbooks/hillchem3/medialib/media_portfolio/text_images/CH07/FG07_08.JPG
What else is necessary to know ? ,[object Object],[object Object],[object Object]
Author:  Vojtěch Mornstein Content collaboration and language revision:  Carmel J. Caruana Presentation  design:  Lucie Mornsteinová Last revision:  March  200 8 Author:  Vojtěch Mornstein Content collaboration and language revision:  Carmel J. Caruana Presentation  design:  Lucie Mornsteinová Last revision:  March  200 8

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Structure ofmatter fin

  • 1. Lectures on Medical Biophysics Dept. Biophysics Medical faculty, Masaryk University in Brno
  • 2. Structure of matter http://www.accessexcellence.org/AE/AEC/CC/historical_background.html Lectures on Medical Biophysics Dept. Biophysics, Medical faculty, Masaryk University in Brno
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  • 5. The Four Fundamental Energy / Force Fields Strong : weak : electromagnetic : gravitational = 10 40 : 10 15 : 10 3 : 1 (for interaction distance of 10 -15 m, i.e. approx. the diameter of atom nucleus) gravitational electromagnetic strong weak
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  • 9. Quantum Mechanics tunnel effect :
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  • 11. Schr ödinger equation (to admire) „ one-dimensional “ S. equation Radial co-ordinates of an electron in a hydrogen atom  - wave function S. equation for the electron in the hydrogen a tom according http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hydsch.html
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  • 14. Ionisation of Atoms Example of ionisation: photoelectric effect h.f = E b + m.v 2 /2 The binding energy of an electron E b is the energy that would be required to liberate the electron from its atom – depends mainly on the principal quantum number. Secondary electron Primary photon excitation ionisation
  • 15. Emission Spectra De xcitations between discrete energy levels result in emitted photons with only certain energies, i.e. radiation of certain frequencies / wavelengths. Visible emission spectrum of hydrogen . http://chemed.chem.purdue.edu/genchem/topicreview/bp/ch6/bohr.html slits prism Hydrogen discharge tube
  • 16. Hydrogen spectrum again magenta , cyan and red line according h ttp://cwx.prenhall.com/bookbind/pubbooks/hillchem3/medialib/media_portfolio/text_images/CH07/FG07_19.JPG Excitation of electrons Emission of light
  • 17. Excitation (absorption) Spectra for Atoms Absorption lines in visible spectrum of sun light . Wavelengths are given in Angstr öms (Å ) = 0.1 nm http://cwx.prenhall.com/bookbind/pubbooks/hillchem3/medialib/media_portfolio/07.html Transitions between discrete energy states !!
  • 18. Excitation ( A bsorption) Spectrum for Molecules According : http://www.biochem.usyd.edu.au/~gareth/BCHM2001/pracposters/dyeZ.htm A bsorption spectrum of a dye Absorbance Wavelength
  • 19. Atom nucleus Proton ( atomic ) number – Z Nucleon ( mass ) number – A Neutron number – N N = A - Z Atomic mass unit u = 1.66 x 10 -27 kg, i.e. the 1/12 of the carbon C-12 atom mass Electric charge of the nucleus Q = Z x 1.602 x 10 -19 C If r elative mass of electron = 1  Relative mass of proton = 1836  Relative mass of neutron = 1839
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  • 22. Isotope composition of mercury % of atoms vs. isotope nucleon number According to: http://cwx.prenhall.com/bookbind/pubbooks/hillchem3/medialib/media_portfolio/text_images/CH07/FG07_08.JPG
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  • 24. Author: Vojtěch Mornstein Content collaboration and language revision: Carmel J. Caruana Presentation design: Lucie Mornsteinová Last revision: March 200 8 Author: Vojtěch Mornstein Content collaboration and language revision: Carmel J. Caruana Presentation design: Lucie Mornsteinová Last revision: March 200 8