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Unit 4A: ATOMIC STRUCTURE Describe matter as containing discrete positive and negative charges Periodic Table: Theories of atomic structure began with an attempt to explain the chemical properties (reactivity) of the elements. Mendeleev was able to arrange the 63 known elements in his time, into a table. Horizontally the elements were arranged according to increasing atomic mass. Vertically the elements were arranged according to chemical properties. Today the horizontal arrangement is by atomic number rather than atomic mass. Scientific experiments help develop our modern theory of the atom. We will explore those different experiments and how the atom’s model changed. CATHODE RAYS: Explain how the discovery of cathode rays contributed to the development of atomic models Explain J.J. Thomson’s experiment and the significance of the results for both science and technology Perfom an experiment, or simulation, to determine the charge-to-mass ratio of the electron Determine the mass of an electron and/or ion, given appropriate empirical data Derive a formula for the charge-to-mass ratio that has input variables that can be measured in an experiment using electric and magnetic fields. The invention of cathode ray tubes (discharge tubes) in the mid 1800’s led to the discovery of the electron. With CRT’s scientists were able to investigate electric discharge across a spark gap. CRT: The tube contains a low pressure gas. Discharge tubes always discharge from the cathode. Cathode rays were found to have a number of characteristics – some are similar to EMR and some different: Similar: Cathode rays travel in straight lines Cathode rays cause similar chemical reactions to light. Different: Cathode rays could be deflected by magnetic fields Cathode rays could be deflected by electric fields The characteristics of cathode rays are always the same, regardless of the material comprising the cathode. Because of the differences, it was determined that cathode rays were NOT EMR. Two scientists associated with cathode rays are; Crookes who believed that cathode rays consisted of particles and J.J. Thomson who measured the charge to mass ratio of cathode rays as q/m = 1.76 x 1011 C/kg. Cathode rays became known as electrons! Thomson passed high energy/high speed cathode rays through a circular anode with a hole in the center. The rays then passed through a magnetic field which deflected them in a circular arc. The centripetal force causing the ray to travel in a circular arc is given by: The centripetal force is caused by the magnetic field so that Fc= Fm: B and r were easy to measure but v could not be measured directly. Thomson adjusted the experiment by adding a section in which he passed the electrons through BOTH electric and magnetic fields FIRST. The fields were adjusted until the forces were equal, causing the electrons to travel in a straight line: mathematically: Since both the electric field strength E and the magnetic field strength B could be found, Thomson was able to find the speed of the electrons. Knowing the electrons speed Thomson was able to use the relationship from above to calculate the q/m (e/m) ratio for an electron. Pg 285-288 (#1-7 ) Thomson Model of the Atom After doing his experiment with CRT and finding the q/m ratio for the particles, Thomson formulated a theory on the structure of the atom. In Thomson’s model the atom was full of a positive fluid. The ‘electrons’ (negative particles of the cathode ray) were embedded in the positive fluid. Thomson’s model was otherwise known as the ‘raisin bun model’ or the ‘plum pudding model’. If you recall Millikan’s experiment where he balanced the gravitational forces with the electrostatic forces on oil drops, Millikan was able to determine the elementary charge (smallest possible charge). By combining the two experimental results of Thomson and Millikan, one could find the mass of the negative cathode particles – electrons – assuming that they are elementary particles and therefore have the elementary charge! The mass of the electron has now been theorized! Workbook page 120 #4-12 Rutherford’s Scattering Experiment Explain, qualitatively, the significance of the results of Rutherford’s scattering experiment, in terms of scientists’ understanding of the relative size and mass of the nucleus and the atom. In 1911, Ernest Rutherford and his associates did a series of experiments in which they fired alpha particles from a radium source contained in a lead block. The alpha particles were directed at a thin gold foil. If the Thomson model were true, the alpha particles should have passed through the foil with very little deflection since the mass of the Thomson’s atom is evenly distributed. However, in Rutherford’s experiment, some of the particles were scattered at quite large angles and some even bounced backwards! This did not fit with Thomson’s model. Rutherford concluded that the mass of the atom was not evenly distributed through the atom as in Thomson’s model. In order for the large angles of deflection, the mass must be concentrated in a very small region of the atom which he called the nucleus. Rutherford suggested that alpha particles passing close to the nucleus could be deflected through large angles due to electrostatic repulsion and momentum. Alpha particles hitting the nucleus could be deflected backwards. Rutherford was also able to determine that the nucleus contained all the positive charge of the atom. To prevent the electrons from collapsing in to the nucleus (due to electrostatic attraction), it was theoretically necessary that the electrons orbit the nucleus like the earth orbits the sun. Rutherford’s model had a serious physical problem. According to classical physics, a particle in orbit has centripetal acceleration; and according to Maxwell’s theory of EMR, any charged particle accelerating should emit energy (EMR). If it emits energy continuously, then the electron should eventually lose its orbit and fall into the nucleus. Draw Rutherford’s model (Classical Model of atom) and name 3 new conclusions that Rutherford incorporated into his atomic model. Pg 285-288 (rest) Spectra and atomic models Describe that each element has a unique line spectrum Explain, qualitatively, the characteristics of, and the conditions necessary to produce continuous line-emission and line-absorption spectra Predict the conditions necessary to produce line-emission and lineabsorption spectra Observe spectra Identify elements represented in a sample line spectra by comparing them to representative line spectra of elements The spectrum of hydrogen gas led to the explanation of the problem with the Rutherford model and the development of the Bohr model. There are 3 types of spectra: 1. Continuous: this spectra is produced when the light from a heated/glowing solid is passed through a prism or diffraction grating. In this spectrum all frequencies are given off and one color fades into another continuously as in a rainbow. 2. Emission: (Bright-line spectra) produced when the light from an excited gas passes through a diffraction grating or prism. The spectrum consists of certain frequencies only, so there is no continuous rainbow, but rather specific bands of color. Each gaseous element is unique in that it has its own spectrum. This is used in chemical analysis to determine what types of elements are present. 3. Absorption: (Dark-line spectra) produced when light from a glowing solid passes through a cooler unexcited gas before passing though a diffraction grating or prism. The continuous spectrum that would ordinarily be produced has dark lines (absorption lines or Fraunhofer lines) because the gas absorbs certain frequencies. This is seen with solar spectrum and allows us to determine the atmosphere around solar objects. What is most interesting is that the emission spectra and the absorption spectra of the same gas are completely opposite. The dark lines of the absorption match the bright lines of the emission for the same gas. See pg 749-752. Hydrogen spectra: http://csep10.phys.utk.edu/astr162/lect/light/absorption.html Bohr atom: Explain, qualitatively, how emission of EMR by an accelerating charged particle invalidates the classical model of the atom Explain, qualitatively, the concept of stationary states and how they explain the observed spectra of atoms and molecules Calculate the energy difference between states, using the law of conservation of energy and the observed characteristics of an emitted photon. Predict the possible energy transitions in the hydrogen atom, using a labelled diagram showing energy levels The emission spectra for hydrogen gas became known as the BALMER series. Bohr’s theory came mainly for the explanation of the spectrum for hydrogen. Niels Bohr developed a theory about atomic structure to explain why orbiting electrons do not collapse into the nucleus. Bohr’s model was based on two conclusions: 1. There are certain allowed orbits around the nucleus in which the electron can move without giving off energy. This means that the energy of the electron is quantized. (start of the Quantum model) 2. In order for the electron to occupy a given orbit, it must have the energy allowed for that orbit. In this model, the electron can move up to a higher energy level (orbit) by absorbing energy or down to a lower energy level (orbit) by emitting energy; but it cannot be found between energy levels (orbits). http://www.upscale.utoronto.ca/PVB/Harrison/BohrModel/Flash/BohrModel.ht ml The Bohr model states that only photons of certain frequency can be absorbed or emitted. It also explains why the atom does not collapse as only certain orbits are allowed. There are numerous possible transitions even for the hydrogen atom of only one electron. The visible light seen in the emission spectra is called the Balmer series but many others exist and produce EMR of other forms. Conservation of Energy can be used to calculate the energies involved in the electron transitions. An electron in the first energy level for hydrogen is -13.6 eV or -2.18 x 10-18 J. What would the negative sign mean? If red light of 654 nm is given off in the Balmer transition from level 3 to level 2, and level two has an energy of -3.4 eV, what is the energy of level 3? The important point to remember is that the energy an electron gains or loses during a transition is the result of a loss or gain by another particle or photon. Transition energy(often EMR) = energy of upper level-energy of lower level The energy of any other orbit in hydrogen can be calculated using the formula En=E1/n2. The squared function should be a reminder that the energy between levels is NOT uniform, but exponential. Bohr’s model was also used to explain the periodicity of the periodic table. Bohr suggested that chemical properties depended on the number of electrons in the outer energy level (orbit). The outer orbit is called the valence orbit and the electrons in this orbit are called valence electrons. Only certain numbers of electrons are allowed in a given level. Elements that have the same number of valence electrons in their outer orbit have similar chemical properties. The Bohr model has both strengths and weaknesses. Strengths: 1. It explained the repetition of chemical properties in the periodic table and is very easy to draw and useful to use in Chemistry 2. It explained the hydrogen spectra Weaknesses: 1. It could not explain the spectra of elements other than hydrogen. 2. It could not explain why only certain orbits were allowed. 3. It could not explain why spectral lines are split into several lines in the presence of an electric or magnetic field. 4. It could not explain the differences in the brightness of spectral lines. The Bohr model was improvement on earlier models but it was not the final model. 292-295 QUANTUM MODEL OF THE ATOM Explain, qualitatively, how electron diffraction provides experimental support for the deBroglie hypothesis Describe, qualitatively, how the two-slit electron interference experiment shows that quantum systems, like photons and electrons, may be modelled as particles or waves, contrary to intuition. In unit 3 we looked at how DeBroglie explained that particles could exhibit wave behavior.(this is only significant for sub-atomic particles) By applying this to electrons, it is explained that electrons can only exist in certain orbits because they need to form a standing wave (no destructive interference amoung each other). Therefore: C = 2πrn which needs to = nλ : 2πrn= nλ for orbitals By substituting De Broglie’s definition for wavelength of particles λ=h/mv into the orbital equation you get: 2πrn = nh/mv The wave nature of matter provides a natural explanation for the quantized energy levels. The wavelength of the electron gets longer in each successive energy level because the electron’s speed decreases as the radius of the orbit increases. Schrodinger derived an equation for determining how electron waves behave in the electric field surrounding the nucleus. The equations involve functions. Max Born interpreted these functions to involve probability of distribution of the electrons. An orbital is now defined as the probability distribution of an electron in an atom. Unlike the Bohr model, the quantum model does not have electrons orbiting at precisely defined distances, but behaving as waves which do not have a precise location. This is called quantum indeterminacy – Heisenberg uncertainty principle. Disadvantage: the quantum model cannot be visualized like the Bohr model. http://plus.maths.org/content/schrodinger-1 Read pg 782 Compare and contrast, qualitatively, the classical and quantum models of the atom. Debroglie 296-298 Pg 300-302 Unit 4B Radioactivity: Radioactivity was discovered in 1896 by Henri Becquerel. Rutherford discovered the nucleus in 1911. Henry Moseley discovered the charge on the nucleus was always a multiple of the same charge of an electron in 1913. Frederick Soddy discovered isotopes and Chadwick discovered the neutron in 1932. So, by 1932, a fairly good understanding of the nucleus and elementary particles was underway. Three Elementary particles as of 1932: Electron Proton Neutron Charge (C) Mass (kg) -1.60 x 10-19 +1.60 x 10-19 0 9.11 x 10-31 1.673 x 10-27 1.675 x 10-27 Atomic Mass Units (u) 0.000549 1.0073 1.0087 1u = 1.660 x 10-27kg Protons and neutrons are both contained in the nucleus and are known collectively as nucleons. The nucleus of an atom may be represented using: X = symbol of element A = mass number number of nucleons Z = atomic number number of protons Isotopes: Isotopes are atoms of the same element that differ in the number of neutrons. Because they belong to the same element, they must have the same number of protons. Eg. Pg 313 Mass Spectrometers A mass spectrometer separates particles according to their masses. The spectrometer has four basic components: Ion source velocity selector ion separation region and ion detector Ions are produced by heating or electrical discharge. The ions are accelerated by an accelerating voltage. Because the ions have different velocities, a velocity selector is used. The velocity selector consists of magnetic and electric fields which deflect particles that do not have the right velocity. Particles which are not deflected (pass straight through) have a velocity given by: After the velocity selector, the ions enter a perpendicular magnetic field which deflects the particles in a circular path given by If the mass of particles is different, then the radii will be different. If the charge of particles is different, then the radii/direction of deflection will be different. (remember the CRT tube experiment of Thomson – very similar) Pg 154-159 Forces Relate, qualitatively and quantitatively, the mass defect of the nucleus to the energy released in nuclear reactions, using Einstein’s concept of massenergy equivalence. Express mass in terms of mega electron volts per c2 when appropriate Binding neutrons and protons together in a nucleus requires a very large force to overcome the electrostatic repulsions of protons. This force is called the strong nuclear binding force. It is one of the four natural forces in the Universe that scientist have identified. 1. 2. 3. 4. Gravitational forces Electromagnetic forces (electric, magnetic, and contact forces) Strong nuclear forces Weak nuclear forces http://hyperphysics.phy-astr.gsu.edu/hbase/forces/funfor.html The strong nuclear force is not fully understood but it does have a very limited range (1 x 10-15 m) and it is by far the STRONGEST of the four forces. Sometimes even this force is not adequate to keep the nucleus together and the nucleus either disintegrates and /or rearranges itself. This activity is known as radioactivity. Radioactivity often releases some of the energy involved in holding the nucleus together (binding energy). How to measure binding energy: We take the difference in mass when the nucleus is together versus the mass of separate individual particles. The difference between the two numbers tells us the MASS DEFECT. According to Einstein, mass defect and energy can be equated with his famous formula: E=mc2 Where m= mass defect The energy involved in binding the nucleus lowers the relativistic mass of the atom as compared to the mass of the individual particles. mdefect = mindividual particles- mrelativistic (measured) ( or Ebinding= Enucleons- Enucleus) Whenever the nucleus undergoes some change, some mass is converted into energy (heat). Eg1. Sodium 23 Na 11 has an atomic mass of 22.989769 u. Using the information below; 1u=1.660539 x 10-27 1p=1.007825 u 1n= 1.008665 u c=2.997925 x 108m/s a. find the mass defect for this nucleus.(in kg) b. Find the binding energy.(in J) Energy equivalence for a particle is often expressed in MeV/c2. This is the calculated energy using E=mc2. Eg. 1u=931.4941 MeV (communicated as MeV/c2) Prove : Therefore if you find the mass defect for the question above, in ‘u’, a shortcut is to just multiply it by 931.4941: Pg 333-336 Types of Radioactivity Describe the nature and properties, including the biological effects, of alpha, beta and gamma radiation Write nuclear equations, using isotope notation, for alpha, beta-negative and beta-positive decays, including the appropriate neutrino and antineutrino Use the law of conservation fo charge and mass number to predict the particles emitted by a nucleus Predict the penetrating characteristics of decay products Interpret common nuclear decay chains The radiation given off when a nucleus changes comes in 3 types: 1. Alpha rays2. Beta rays3. Gamma raysBiological damage is caused when radiation deposits its energy in living tissue. The nature and size of the charge on the three types of radiation affect their damaging abilities. Alpha particles will interact more strongly, then beta, while gamma interactions are NOT described by electrical interactions (no charge). Factor 1-Electrically charged radiation (alpha and beta) deposit energy continuously, but not uniformally, as they travel through tissue. -Beta are much less massive than alpha and are therefore more easily scattered during interactions with atomic nuclei (less direct paths through materials). (a fly through a crowded room) Much lower ionization effects. -Alpha particles ionize virtually every molecule they pass. (a tank through a crowded room) Factor 2- Energy content in the radiation also affects the tissues. Gamma radiation damage is determined by the energy it has. -Gamma radiation has to be high enough to free an electron and therefore ionize molecules. Three ionization effects: 1. Production of free radicals from water (unstable charges) 2. Breaking bonds in large molecules destroying their function. 3. Genetic damage to DNA molecules They differ in terms of penetrating ability with gamma rays being the most penetrating and alpha rays being the least penetrating. When an unstable nucleus rearranges itself, one or more of these radiation types are emitted. The atom changes from one element to another if alpha or beta rays are emitted. The atom is then said to have transmuted or decayed. Bioeffects pg 310-311 Safety is improved when working with radioactive material by: Decreasing exposure time Increasing distance between people and the radioactive material Increasing the shielding used. 1. Alpha decay 2. Beta decay Gamma decay With just a gamma decay the nucleus emits a high-energy photon but does not change element – therefore there is no reaction to write. However, gamma rays are generally associated with the other forms of decay because it is believed that the atom is in an excited state when it decays and that it emits a photon as it drops to a lower state. In alpha and beta decay, the original nucleus is called the parent nucleus and the product is called the daughter nucleus: Often during the decays the daughter isotope is also radioactive (unstable) leading to further decays. The decay process continues until a stable isotope is reached. This is called a decay series and is often graphed: http://en.wikipedia.org/wiki/File:Radioactive_decay_chains_diagram.svg pg 315-318 Half-life Perform simple, nonlogarithmic half-life calculations Graph data from radio-active decay and infer an exponential relationship between measure radioactivity and elapsed time The rate of radioactive decay may be expressed as the ‘half-life’ or ‘activity’ of the substance. 1. Activity – the number of nuclei that change in a given period of time. This is often measured with a Geiger-Mueller counter for radiation. 2. Half-life – the time required for ONE HALF of a radioactive sample to decay. To calculate the amount remaining after a given time has passed, we can use a formula that involves the half-life: Amount remaining can be measured in a variety of units as the N/No is a ratio and the units only have to match each other. The ratio of N/No may be made in terms of activity, mass of the substance, or a % remaining. http://mcat-review.org/atomic-nuclear-structure.php pg 320-328 Other types of Nuclear Reactions: Compare and contrast the characteristics of fission and fusion reactions Compare the energy released in a nuclear reaction to the energy released in a chemical reaction on the basis of energy per unit mass of reactants. 1. Artificial Transmutation In 1919 Rutherford was the first scientist to artificially transmute an atom. He did so by bombarding nitrogen-14 with an alpha particle to produce oxygen-17. Today particle accelerators are used to accelerate bombarding particles to high speed. All elements beyond Uranium in the periodic table are the result of artificial transmutation. http://www.lhc.ac.uk/ 2. Fission Nuclear fission was discovered in 1938 when Fermi bombarded Uranium with low energy neutrons. This process split the uranium nucleus into two roughly equal parts and released large amounts of energy. The energy is produced because some of the mass is changed into energy during the transmutation. The amount of energy produced may be calculated using Einstein’s equation! In this nuclear reaction 3 neutrons are also freed: These three neutrons can cause further splitting –the beginning of a chain reaction. In a reaction where the 3 neutrons are NOT controlled an EXPLOSION (nuclear bomb) occurs. If the 3 neutrons are controlled you have a nuclear reactor. Read Pg 812 In a nuclear reactor 1.0 kg of U235 produces 2million times as much energy as burning 1 kg of coal!!! One of the major problems with nuclear fission is that it produces radioactive isotopes which produce harmful alpha, beta and gamma radiation. This means that the spent fuel must be stored for centuries. http://www.howstuffworks.com/nuclear-power.htm 3. Fusion Fusion is the opposite of fission. In fusion small nuclei are joined together to form a larger nucleus. Pg814 (above process) This reaction occurs in the sun. High temperature are needed for fusion reactions (100million K) because the positive charges of the nuclei naturally repel one another and it takes great energy to get the nuclei close enough for the strong nuclear force to bond them together. Pg 330-331, 337 PAIRS PRODUCTION: Explain how the analysis of particle tracks contributed to the discovery and identification of the characteristics of subatomic particles Predict the characteristics of elementary particles, from images of the tracks in a bubble chamber, within an external magnetic field Analyze, qualitatively, particle tracks for subatomic particles other than proton, electron and neutrons Use hand rules to determine the nature of the charge on a particle Positrons were discovered in 1929 by Carl Anderson (Nobel Prize): an electron and a positron may be created when high energy photons (gamma rays or high energy X-rays) collide with matter. For law of conservation of charge, when an electron is produced, a positron must also be produced with it. In a magnetic field these two particles would deflect in opposite directions (opposite charge) but with the same radius (mass is the same). The photon produces an electron and positron! Energy is converting to mass! With modern physics it is possible to observe other pairs-production (energy to mass); production of a pair with opposite charge/equal mass. Calculate the energy that must be in the photon to produce the electron/positron pair: E=mc2 m=2x9.11 x 10-31kg E=1.64 x 10-13 J or 1.02 MeV therefore since 2 particles of equal mass are produced their unit for mass could be 0.51 MeV/c2. m=E/c2 this is the common unit for mass of subatomic particles. Electron =0.511 MeV/c2 ;proton = 938.3 MeV/c2 ;and neutron=939.6MeV/c2 1 MeV/c2=1.7827 x 10-30 kg The opposite must also be true too! (Mass to energy) and is termed annihilation. When the two antiparticles meet they annihilate each other and become energy. Building Blocks of Matter Explain, qualitatively, in terms of the strong nuclear force, why high-energy particle accelerators are required to study subatomic particles Particle Accelerators: Must have-a source of charged particles, a means of accelerating them, and a tube or container in which they accelerate. Particle Detectors: read pg830-831 pearson cloud chambers (1910-1960); a device that uses trails of droplets of condensed vapour to show the paths of charged particles. The chamber is dust-free air supersaturated with vapour from a liquid such as water or ethanol. A charged particle speeding through will ionize some molecules along its path. These trigger condensation forming a cloud along the path of the particle. Like a jet-liner through the air. Bubble chamber (developed in 1952); contains a liquefied gas like hydrogen, helium, propane, or xenon. Ions form by a charged particle zipping through and causing it to boil. It forms a trail of tiny bubbles or what is known as particle tracks. These particle tracks can be analyzed and a charge-to-mass ratio obtained from them. Neutral particles do not create tracks in either chamber! Pg339 workbook Pg 339-343 Standard Model: Describe the modern model of the proton and neutron as being composed of quarks Compare and contrast the up quark, the down quark, the electron and the electron neutrino, and their antiparticles, in terms of charge and energy (mass-energy) Describe beta-positive and beta-negative decay, using first-generation elementary fermions and the principle of charge conservation -in the 1950’s more elementary particles were discovered and our view of the atom as having 3 particles became confusing. This is due to the particle collision research using particle accelerators and pairsproduction. 1. Elementary particles (proton,neutron, electron) are made up of smaller particles called quarks-The standard model. It is consistent with quantum theory and special theory of relativity. 2. There are two kinds of elementary particles: fermions and bosons fermions-responsible for matter bosons-responsible for forces 3. fermions have two kinds: quarks and leptons quarks: symbol u d s c b t Up Down Strange charm Bottom Top Charge 2/3 -1/3 -1/3 2/3 -1/3 2/3 There are also six antiquarks –have a line over the symbol and an opposing charge. *All elementary particles have an antiparticle. -protons, neutrons, and pions are called hadrons and are made up of quarks. A quark can not be isolated, it just exists inside a hadron. If they consist of 3 quarks they are called a baryon eg. Proton and neutron.Proton: uud note the charge! Neutron: udd *write the neutron to proton/electron reaction using the quark model If they consist of a quark and antiquark they are called mesons eg. Pion:ud Leptons: can be isolated. Also six types: Electron Muon Tau Electron neutrino Muon neutrino Tau neutrino Symbol e e charge -1 -1 -1 0 0 0 The only stable lepton is the electron. The neutrinos have no charge and almost no mass. They too have antileptons (line over top of the symbol and opposite charges-if applicable) 4. Of the four fundamental forces, they all act within the atom except gravitational forces. These forces have carriers (Bosons) that are other particles: The force carrier for the electromagnetic forces is the photon. The force carrier for the strong nuclear force is the gluon The force carrier for the weak nuclear force is the W+, Wo, and Z bosons The standard model is not complete as it does not include the gravitational force. Another theory that tries to unify the description of the universe as forces is the string theory; elementary particles are thought of as very short strings (one-dimensional) that can vibrate in different modes. Each mode corresponds to a certain particle. (‘New periodic table’ in folder) Pg 346-350 workbook