PPT-Atomic QM to Molecular QM

164166 Solution of SE for molecules is more complicated due to much larger number of electrons and multiple nuclei SE is still not exactly solvable since more than one electron is involved Atomic orbitals are not appropriate since multiple nuclei are involved. Simultaneous eigenstates Consider two operators that com mute A 0 1328 Let satisfy the following eigenvalue equation 1329 Multiplying both sides by 1330 where we have assumed 12297 8801 Now lets try and use the commutation relation 1331 Fr Grand Valley State University . Lecture Presentation. Chapter . 10-3. Chemical . Bonding II: Molecular Shapes, Valence Bond Theory, and Molecular Orbital Theory. sp. 2. Atom with three electron groups around it . Atoms, Elements, Molecules, Ions, and Compounds. Early in the 19. th. century John Dalton developed atomic theory. His theory explained the best available experimental data at that time. His theory has been modified since then with the discovery of other data, but his work was the initial ground work that we will examine first.. Atoms and Reactions Lesson 1. 1.1.2. Atomic Masses. WARM UP:. Work out the relative molecular mass of:. Calcium carbonate - CaCO. 3. Magnesium chloride - MgCl. 2. . Methane – CH. 4. Copper sulphate - CuSO. From Astronomy To Biomedicine. Light and Matter .  Spectroscopy. . Generalized interactions  Radiation. . Atomic physics. . Astrophysics. . Plasma physics. . Molecular physics. . Biophysics. Lesson objectives relative mass. Understand the term ‘isotopes’. Define the terms ‘relative isotopic mass’ and ‘relative atomic mass’ based on the . 12. C scale. Understand the terms ‘relative molecular mass’ and ‘relative formula mass’ including calculating these from relative atomic masses . Newtonian mechanics. Relatively small #of . atoms (. 100K . – . 10M). At each time-step. Calculate forces on each atom . Bonds:. Non-bonded: electrostatic and van der Waal. ’. s. Short-distance: every . On behalf of the organizers. Future of Electron . Scattering and . Diffraction Workshop. (FESW). S. ummary. BESAC Meeting. July 30, 2014. Workshop overview. Key breakthrough science opportunities . and . Section 2a. Levels. Chemical. Cells. Tissue. Organ. Organ system. Organism . Today we are working on… . Matter. The “stuff” of the universe. Anything that has mass and takes up space. States of matter. Calcium acetate. Hydrogen peroxide. Oxygen hexafluoride. Hydroselenic. acid. (NH. 4. ). 3. N. Cr(OH). 3. H. 2. SO. 3. NaClO. 4. HCl. N. 2. O. H. 2. CO. 3. SF. 6. 2. P. rotons. : charge of 1. Neutr. Atomic mass. Atoms of different elements have different masses. . Mass of a single atom is incredibly small so a special unit called atomic mass unit (. amu. ) is used. . Atomic Mass. Atoms are composed of three particles:. ). (Section 18.2, bits of 18.7,18.8). Space between stars is not a . vacuum but. is filled with gas.. Why . is the ISM important? . Stars form out of it. Stars end their lives by returning gas to . Bond LengthsGuanine Bond Lengths Thymine Bond LengthsCytosineBond Lengths N1-C2 1.34 = 0.62 + 0.72 N1-C2 1.37 = 0.67 + 0.70 N1-C2 1.37 = 0.67 + 0.70 N1-C2 1.37 = 0.67 + 0.70 * 1.34,1.34,1.32,1.34 1.32 Unit II: Gas-filled detectors. CLRS 321. Nuclear Medicine Physics and Instrumentation 1. Objectives. (Mostly from your text). Distinguish . between covalent and delocalized molecular bonding, and briefly describe the electrical conductivity of insulators, conductors, and semiconductors..