Chapter 7 Atomic Structure and Periodicity What is New for 2015 AP Chemistry Exam 1-Students do not need to memorize all the exceptions to the Aufbau principle. 2-Students do not need to know how to assign quantum numbers to electrons. 3-Students will not be tested on phase diagrams. 4-Colligative properties will not be tested on the exam. 5-Students are not required to solve problems involving molality, percent by mass, and percent by volume. 6-Problems involving hydrogen bonding are limited to interactions between molecules that include hydrogen atoms covalently bonded to nitrogen, oxygen or fluorine. Students are not required to know other cases of much weaker hydrogen bonding. 7-Students do not need to memorize the different types of crystal structures. 8-Students will not be tested on the use of formal charge to explain why certain molecules do not obey the octet rule. 9-Students do not need to learn how to defend Lewis models based on the assumptions about the limitations of the models. 10-Academics are still debating whether to teach hybridization but until this issue is cleared, AP students are required to know the difference between sp, sp2, and sp3 hybridizations and the bond angles. However, students do not need to know how these orbitals are derived or depicted. 11-Aspects such as recall or filling of the molecular orbital diagrams related to the molecular orbital theory will not be tested. 12-Students will not be tested on the specific varieties of crystal lattices for ionic compounds. 13-Students will not be tested on Lewis acid-base concepts. 14-The terms “reducing agent” and “oxidizing agent” will not be used in this course or on the test. 15-Students do not need to label electrodes as positive or negative in electrochemistry cells. 16-Students will not be tested about the Nernst equation. 17-Students are not required to solve problems involving Arrhenius equation. 18-Collection of data involving reaction intermediates will not be covered on the test. 19-Students are not required to calculate the concentrations of each species present in the titration curve for polyprotic acids. 20-Students are not required to calculate the change in pH resulting from the addition of an acid or a base to a buffer. 21-Students do not need to know how to derive the Henderson-Hasselbalch equation. 22-Students do not need to memorize all the solubility rules. Students will only be assessed on the solubility of sodium, potassium, ammonium, and nitrate salts. 23-Students will not be required to calculate solubility or solubility as a function of pH. Section 5.6 The Kinetic Molecular Theory of Gases Section 6.1 The Nature of Energy Section 6.1 The Nature of Energy Section 6.1 The Nature of Energy Light matter Section 6.1 The Nature of Energy Not on AP Exam Practice Section 6.1 The Nature of Energy Section 6.1 The Nature of Energy for degenerate orbitals, the lowest energy is attained when the number of electrons with the same spin is maximized. Section 6.1 The Nature of Energy & Coulomb’s Law & Electronegativity PES Absorbance Review Questions Section 6.1 The Nature of Energy Section 6.1 The Nature of Energy https://www.youtube.com/watch?v=yteVW9CVuE4 Section 6.1 The Nature of Energy https://www.youtube.com/watch?v=5V-UZ-t5AJ4 Section 6.1 The Nature of Energy https://www.youtube.com/watch?v=NCZkCEaknxE Electron Configuration Section 6.1 The Nature of Energy https://www.youtube.com/watch?v=9WKzgVf8Iyg Section 6.1 Periodic Table Trends Questions The Nature of Energy https://www.youtube.com/watch?v=ELGHGflwYtw Section 6.1 The Nature of Energy https://www.youtube.com/watch?v=K-3jRZdscJA Periodic Table Elements Section 6.1 The Nature of Energy https://www.youtube.com/watch?v=f4BWgxhrCt8 Section 7.1 Electromagnetic Radiation Different Colored Fireworks Copyright © Cengage Learning. All rights reserved 19 Section 7.1 Electromagnetic Radiation Questions to Consider Why do we get colors? Why do different chemicals give us different colors? Copyright © Cengage Learning. All rights reserved 20 Section 7.1 Electromagnetic Radiation Electromagnetic Radiation One of the ways that energy travels through space. Three characteristics: Wavelength Frequency Speed Copyright © Cengage Learning. All rights reserved 21 Section 7.1 Electromagnetic Radiation Characteristics Wavelength () – distance between two consecutive peaks or troughs in a wave. Frequency ( ) – number of waves (cycles) per second that pass a given point in space Speed (c) – speed of light (2.9979×108 m/s) c = Copyright © Cengage Learning. All rights reserved 22 Section 7.1 Electromagnetic Radiation The Nature of Waves 23 Section 7.1 Electromagnetic Radiation Classification of Electromagnetic Radiation Copyright © Cengage Learning. All rights reserved 24 Section 7.2 The Nature of Matter Pickle Light Copyright © Cengage Learning. All rights reserved 25 Section 7.2 The Nature of Matter Energy can be gained or lost only in whole number multiples of hν . A system can transfer energy only in whole quanta (or “packets”). Energy seems to have particulate properties too. Copyright © Cengage Learning. All rights reserved 26 Section 7.2 The Nature of Matter Energy is quantized. Electromagnetic radiation is a stream of “particles” called photons. hc Ephoton = hν = Planck’s constant = h = 6.626 × 10-34 Js Copyright © Cengage Learning. All rights reserved 27 Section 7.2 The Nature of Matter The Photoelectric effect To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 28 Section 7.2 The Nature of Matter Energy has mass E = mc2 Dual nature of light: Electromagnetic radiation (and all matter) exhibits wave properties and particulate properties. Copyright © Cengage Learning. All rights reserved 29 Section 7.3 The Atomic Spectrum of Hydrogen Continuous spectrum (results when white light is passed through a prism) – contains all the wavelengths of visible light Line spectrum – each line corresponds to a discrete wavelength: Hydrogen emission spectrum Copyright © Cengage Learning. All rights reserved 30 Section 7.3 The Atomic Spectrum of Hydrogen Refraction of White Light To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 31 Section 7.3 The Atomic Spectrum of Hydrogen The Line Spectrum of Hydrogen To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 32 Section 7.3 The Atomic Spectrum of Hydrogen Significance Only certain energies are allowed for the electron in the hydrogen atom. Energy of the electron in the hydrogen atom is quantized. Copyright © Cengage Learning. All rights reserved 33 Section 7.3 The Atomic Spectrum of Hydrogen CONCEPT CHECK! Why is it significant that the color emitted from the hydrogen emission spectrum is not white? How does the emission spectrum support the idea of quantized energy levels? Copyright © Cengage Learning. All rights reserved 34 Section 7.4 The Bohr Model Electron in a hydrogen atom moves around the nucleus only in certain allowed circular orbits. Bohr’s model gave hydrogen atom energy levels consistent with the hydrogen emission spectrum. Ground state – lowest possible energy state (n = 1) Copyright © Cengage Learning. All rights reserved 35 Section 7.4 The Bohr Model Electronic Transitions in the Bohr Model for the Hydrogen Atom a) An Energy-Level Diagram for Electronic Transitions Copyright © Cengage Learning. All rights reserved 36 Section 7.4 The Bohr Model Electronic Transitions in the Bohr Model for the Hydrogen Atom b) An Orbit-Transition Diagram, Which Accounts for the Experimental Spectrum Copyright © Cengage Learning. All rights reserved 37 Section 7.4 The Bohr Model For a single electron transition from one energy level to another: 1 1 18 E = 2.178 10 J 2 2 ninitial nfinal ΔE = change in energy of the atom (energy of the emitted photon) nfinal = integer; final distance from the nucleus ninitial = integer; initial distance from the nucleus Copyright © Cengage Learning. All rights reserved 38 Section 7.4 The Bohr Model The model correctly fits the quantized energy levels of the hydrogen atom and postulates only certain allowed circular orbits for the electron. As the electron becomes more tightly bound, its energy becomes more negative relative to the zero-energy reference state (free electron). As the electron is brought closer to the nucleus, energy is released from the system. Copyright © Cengage Learning. All rights reserved 39 Section 7.4 The Bohr Model Bohr’s model is incorrect. This model only works for hydrogen. Electrons move around the nucleus in circular orbits. Copyright © Cengage Learning. All rights reserved 40 Section 7.4 The Bohr Model EXERCISE! What color of light is emitted when an excited electron in the hydrogen atom falls from: a) n = 5 to n = 2 b) n = 4 to n = 2 c) n = 3 to n = 2 blue, λ = 434 nm green, λ = 486 nm orange/red, λ = 657 nm Which transition results in the longest wavelength of light? Copyright © Cengage Learning. All rights reserved 41 Section 7.5 The Quantum Mechanical Model of the Atom We do not know the detailed pathway of an electron. Heisenberg uncertainty principle: There is a fundamental limitation to just how precisely we can know both the position and momentum of a particle at a given time. x m h 4 Δx = uncertainty in a particle’s position Δ(mν) = uncertainty in a particle’s momentum h = Planck’s constant Copyright © Cengage Learning. All rights reserved 42 Section 7.5 The Quantum Mechanical Model of the Atom Physical Meaning of a Wave Function (Ψ) The square of the function indicates the probability of finding an electron near a particular point in space. Probability distribution – intensity of color is used to indicate the probability value near a given point in space. Copyright © Cengage Learning. All rights reserved 43 Section 7.5 The Quantum Mechanical Model of the Atom Probability Distribution for the 1s Wave Function Copyright © Cengage Learning. All rights reserved 44 Section 7.5 The Quantum Mechanical Model of the Atom Radial Probability Distribution Copyright © Cengage Learning. All rights reserved 45 Section 7.5 The Quantum Mechanical Model of the Atom Relative Orbital Size Difficult to define precisely. Orbital is a wave function. Picture an orbital as a three-dimensional electron density map. Hydrogen 1s orbital: Radius of the sphere that encloses 90% of the total electron probability. Copyright © Cengage Learning. All rights reserved 46 Section 7.6 Quantum Numbers Principal quantum number (n) – size and energy of the orbital. Angular momentum quantum number (l) – shape of atomic orbitals (sometimes called a subshell). Magnetic quantum number (ml) – orientation of the orbital in space relative to the other orbitals in the atom. 47 Section 7.6 Quantum Numbers Quantum Numbers for the First Four Levels of Orbitals in the Hydrogen Atom Section 7.6 Quantum Numbers EXERCISE! For principal quantum level n = 3, determine the number of allowed subshells (different values of l), and give the designation of each. # of allowed subshells = 3 l = 0, 3s l = 1, 3p l = 2, 3d Copyright © Cengage Learning. All rights reserved 49 Section 7.6 Quantum Numbers EXERCISE! For l = 2, determine the magnetic quantum numbers (ml) and the number of orbitals. magnetic quantum numbers = –2, – 1, 0, 1, 2 number of orbitals = 5 Copyright © Cengage Learning. All rights reserved 50 Section 7.7 Orbital Shapes and Energies 1s Orbital To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 51 Section 7.7 Orbital Shapes and Energies Three Representations of the Hydrogen 1s, 2s, and 3s Orbitals Copyright © Cengage Learning. All rights reserved 52 Section 7.7 Orbital Shapes and Energies 2px Orbital To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 53 Section 7.7 Orbital Shapes and Energies 2py Orbital To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 54 Section 7.7 Orbital Shapes and Energies 2pz Orbital To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 55 Section 7.7 Orbital Shapes and Energies The Boundary Surface Representations of All Three 2p Orbitals Copyright © Cengage Learning. All rights reserved 56 Section 7.7 Orbital Shapes and Energies 3dx -y Orbital 2 2 To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 57 Section 7.7 Orbital Shapes and Energies 3dxy Orbital To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 58 Section 7.7 Orbital Shapes and Energies 3dxz Orbital To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 59 Section 7.7 Orbital Shapes and Energies 3dyz Orbital To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 60 Section 7.7 Orbital Shapes and Energies 3dz2 To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 61 Section 7.7 Orbital Shapes and Energies The Boundary Surfaces of All of the 3d Orbitals Copyright © Cengage Learning. All rights reserved 62 Section 7.7 Orbital Shapes and Energies Representation of the 4f Orbitals in Terms of Their Boundary Surfaces Copyright © Cengage Learning. All rights reserved 63 Section 7.8 Electron Spin and the Pauli Principle Electron Spin Electron spin quantum number (ms) – can be +½ or -½. Pauli exclusion principle - in a given atom no two electrons can have the same set of four quantum numbers. An orbital can hold only two electrons, and they must have opposite spins. Copyright © Cengage Learning. All rights reserved 64 Section 7.9 Polyelectronic Atoms Atoms with more than one electron. Electron correlation problem: Since the electron pathways are unknown, the electron repulsions cannot be calculated exactly. When electrons are placed in a particular quantum level, they “prefer” the orbitals in the order s, p, d, and then f. Copyright © Cengage Learning. All rights reserved 65 Section 7.9 Polyelectronic Atoms Penetration Effect A 2s electron penetrates to the nucleus more than one in the 2p orbital. This causes an electron in a 2s orbital to be attracted to the nucleus more strongly than an electron in a 2p orbital. Thus, the 2s orbital is lower in energy than the 2p orbitals in a polyelectronic atom. Copyright © Cengage Learning. All rights reserved 66 Section 7.9 Polyelectronic Atoms Orbital Energies To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Copyright © Cengage Learning. All rights reserved 67 Section 7.9 Polyelectronic Atoms A Comparison of the Radial Probability Distributions of the 2s and 2p Orbitals Copyright © Cengage Learning. All rights reserved 68 Section 7.9 Polyelectronic Atoms The Radial Probability Distribution of the 3s Orbital Copyright © Cengage Learning. All rights reserved 69 Section 7.9 Polyelectronic Atoms A Comparison of the Radial Probability Distributions of the 3s, 3p, and 3d Orbitals Copyright © Cengage Learning. All rights reserved 70 Section 7.10 The History of the Periodic Table Originally constructed to represent the patterns observed in the chemical properties of the elements. Mendeleev is given the most credit for the current version of the periodic table because he emphasized how useful the periodic table could be in predicting the existence and properties of still unknown elements. Copyright © Cengage Learning. All rights reserved 71 Section 7.11 The Aufbau Principle and the Periodic Table Aufbau Principle As protons are added one by one to the nucleus to build up the elements, electrons are similarly added to hydrogen-like orbitals. An oxygen atom has an electron arrangement of two electrons in the 1s subshell, two electrons in the 2s subshell, and four electrons in the 2p subshell. Oxygen: 1s22s22p4 Copyright © Cengage Learning. All rights reserved 72 Section 7.11 The Aufbau Principle and the Periodic Table Hund’s Rule The lowest energy configuration for an atom is the one having the maximum number of unpaired electrons allowed by the Pauli principle in a particular set of degenerate (same energy) orbitals. Copyright © Cengage Learning. All rights reserved 73 Section 7.11 The Aufbau Principle and the Periodic Table Orbital Diagram A notation that shows how many electrons an atom has in each of its occupied electron orbitals. Oxygen: 1s22s22p4 Oxygen: 1s 2s 2p Copyright © Cengage Learning. All rights reserved 74 Section 7.11 The Aufbau Principle and the Periodic Table Valence Electrons The electrons in the outermost principal quantum level of an atom. 1s22s22p6 (valence electrons = 8) The elements in the same group on the periodic table have the same valence electron configuration. Copyright © Cengage Learning. All rights reserved 75 Section 7.11 The Aufbau Principle and the Periodic Table The Orbitals Being Filled for Elements in Various Parts of the Periodic Table Copyright © Cengage Learning. All rights reserved 76 Section 7.11 The Aufbau Principle and the Periodic Table EXERCISE! Determine the expected electron configurations for each of the following. a) S 1s22s22p63s23p4 or [Ne]3s23p4 b) Ba [Xe]6s2 c) Eu [Xe]6s24f7 Copyright © Cengage Learning. All rights reserved 77 Section 7.12 Periodic Trends in Atomic Properties Periodic Trends Ionization Energy Electron Affinity Atomic Radius Section 7.12 Periodic Trends in Atomic Properties Ionization Energy Energy required to remove an electron from a gaseous atom or ion. X(g) → X+(g) + e– Mg → Mg+ + e– Mg+ → Mg2+ + e– Mg2+ → Mg3+ + e– I1 = 735 kJ/mol(1st IE) I2 = 1445 kJ/mol (2nd IE) I3 = 7730 kJ/mol *(3rd IE) *Core electrons are bound much more tightly than valence electrons. Section 7.12 Periodic Trends in Atomic Properties Ionization Energy In general, as we go across a period from left to right, the first ionization energy increases. Why? Electrons added in the same principal quantum level do not completely shield the increasing nuclear charge caused by the added protons. Electrons in the same principal quantum level are generally more strongly bound from left to right on the periodic table. Section 7.12 Periodic Trends in Atomic Properties Ionization Energy In general, as we go down a group from top to bottom, the first ionization energy decreases. Why? The electrons being removed are, on average, farther from the nucleus. Section 7.12 Periodic Trends in Atomic Properties The Values of First Ionization Energy for the Elements in the First Six Periods Section 7.12 Periodic Trends in Atomic Properties CONCEPT CHECK! Explain why the graph of ionization energy versus atomic number (across a row) is not linear. electron repulsions Where are the exceptions? some include from Be to B and N to O Section 7.12 Periodic Trends in Atomic Properties CONCEPT CHECK! Which atom would require more energy to remove an electron? Why? Na Cl Section 7.12 Periodic Trends in Atomic Properties CONCEPT CHECK! Which atom would require more energy to remove an electron? Why? Li Cs Section 7.12 Periodic Trends in Atomic Properties CONCEPT CHECK! Which has the larger second ionization energy? Why? Lithium or Beryllium Section 7.12 Periodic Trends in Atomic Properties Successive Ionization Energies (KJ per Mole) for the Elements in Period 3 Section 7.12 Periodic Trends in Atomic Properties Electron Affinity Energy change associated with the addition of an electron to a gaseous atom. X(g) + e– → X–(g) In general as we go across a period from left to right, the electron affinities become more negative. In general electron affinity becomes more positive in going down a group. Section 7.12 Periodic Trends in Atomic Properties Atomic Radius In general as we go across a period from left to right, the atomic radius decreases. Effective nuclear charge increases, therefore the valence electrons are drawn closer to the nucleus, decreasing the size of the atom. In general atomic radius increases in going down a group. Orbital sizes increase in successive principal quantum levels. Section 7.12 Periodic Trends in Atomic Properties Atomic Radii for Selected Atoms Section 7.12 Periodic Trends in Atomic Properties CONCEPT CHECK! Which should be the larger atom? Why? Na Cl Section 7.12 Periodic Trends in Atomic Properties CONCEPT CHECK! Which should be the larger atom? Why? Li Cs Section 7.12 Periodic Trends in Atomic Properties CONCEPT CHECK! Which is larger? The hydrogen 1s orbital The lithium 1s orbital Which is lower in energy? The hydrogen 1s orbital The lithium 1s orbital Section 7.12 Periodic Trends in Atomic Properties Atomic Radius of a Metal To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Section 7.12 Periodic Trends in Atomic Properties Atomic Radius of a Nonmetal To play movie you must be in Slide Show Mode PC Users: Please wait for content to load, then click to play Mac Users: CLICK HERE Section 7.12 Periodic Trends in Atomic Properties EXERCISE! Arrange the elements oxygen, fluorine, and sulfur according to increasing: Ionization energy S, O, F Atomic size F, O, S Section 7.13 The Properties of a Group: The Alkali Metals The Periodic Table – Final Thoughts 1. It is the number and type of valence electrons that primarily determine an atom’s chemistry. 2. Electron configurations can be determined from the organization of the periodic table. 3. Certain groups in the periodic table have special names. Copyright © Cengage Learning. All rights reserved 97 Section 7.13 The Properties of a Group: The Alkali Metals Special Names for Groups in the Periodic Table Copyright © Cengage Learning. All rights reserved 98 Section 7.13 The Properties of a Group: The Alkali Metals The Periodic Table – Final Thoughts 4. Basic division of the elements in the periodic table is into metals and nonmetals. Copyright © Cengage Learning. All rights reserved 99 Section 7.13 The Properties of a Group: The Alkali Metals Metals Versus Nonmetals Copyright © Cengage Learning. All rights reserved 100 Section 7.13 The Properties of a Group: The Alkali Metals The Alkali Metals Li, Na, K, Rb, Cs, and Fr Most chemically reactive of the metals React with nonmetals to form ionic solids Going down group: Ionization energy decreases Atomic radius increases Density increases Melting and boiling points smoothly decrease Copyright © Cengage Learning. All rights reserved 101 Photoelectron Spectroscopy Straightforward evidence for the validity of orbital diagram Konsler 2013 2014 AP Exam PES 2014 AP Exam PES Electron Configuration Is there any direct evidence that this diagram is accurately showing potential energy of electrons on the atom? Some Available Evidence • Atomic Emission Spectra • Successive Ionization • Photoelectron Spectroscopy The topic is probably best introduced in1st year Chemistry under Atomic Electronic Structure Atomic Emission Spectra Atomic emission spectra are evidence that there are specific allowed PE values by showing the energy difference between some of them. Limitations Differences between PE values, not the values themselves. Ambiguous origin and destination orbitals. Impossible to visually compare PE of orbitals on multiple atoms; large data sets will require many calculations. Successive Ionization Using successive ionization it is usually possible to determine the number of valence electrons an atom has. This is evidence that our PE diagram is an accurate representation Limitations Each ionization causes a reorganization of the remaining electrons, meaning the successive ionization is not a measurement of the characteristics of the original atom. We infer there is a relationship between the ions and the parent atom. Limitations It’s not feasible to do more than 5 successive ionizations, making core electrons (and sometimes even valence electrons) impossible to obtain values for. Limitations It’s not possible to determine if electrons at the same energy level on the atom have the same PE initially, because we remove them one at a time. As a result, the method is really a support only for n, not the other 3 quantum numbers. Photoelectron Spectroscopy Ephoton = hv Atom Monochromatic Beam of X-Rays IEelectron = Ephoton - KE Each event happens once for a single atom. This is a quantum event. Since Ephoton > IEelectron for all the electrons on the atom, the electron removed is random and the KE of the electron is a characteristic of that electron as it exists on the atom at the moment of the event. KE = mv2 2 e- Negatively Charged Hemisphere (Constant V) Retarding Voltage is directly proportional to KEelectron Independent Variable (x) Retarding Voltage of Lens Negatively Charged Hemisphere (Constant V) Dependent Variable (y) Intensity Beam of Atoms Electron Detector Electrons scan past detector Electrostatic Lens (Focuses and slows electrons) The intensity is measured as the retarding voltage on the lens is reduced at a constant rate X-Rays (monochromatic) Electrons ejected Photoelectron Spectroscopy is still limited by Ephoton. If IEelectron is too large, the electron will not be detected. This means that electrons with low values of n on atoms with high value of Z may be off the left hand side of the chart. High Ionization Energy Low electron PE 20 MJ/mol Low Ionization Energy High electron PE 10 MJ/mol IEelectron = Ephoton - KEelectron 0 MJ/mol However, a fluorescence source emits X-Rays with energy of over 1000 eV, several times greater than for successive ionization instrumentation. In addition, core electrons are removed from a neutral atom, requiring less energy. High Ionization Energy Low electron PE 20 MJ/mol Low Ionization Energy High electron PE 10 MJ/mol IEelectron = Ephoton - KEelectron 0 MJ/mol Photoelectron Spectrum Valence Helium possesses the valence electron with the lowest PE of all elements. The measured value for He is 2.37 MJ/mol. Any values observed with greater values (to the left of this line) must be core electrons. Note, d-subshell core electrons will be to the right of this line. 20 MJ/mol 10 MJ/mol 0 MJ/mol “Valence Line”: He(1s) = 2.37 MJ/mol Photoelectron Spectrum Relative Intensity = 2 Since each event removes a random electron from a separate atom, the relative intensity shows the proportion of electrons at that PE. Relative Intensity = 1 20 MJ/mol 10 MJ/mol 0 MJ/mol Photoelectron Spectrum Valence 19.3 MJ/mol 1.36 MJ/mol RI = 2 RI = 2 0.80 MJ/mol RI = 1 20 MJ/mol 10 MJ/mol 0 MJ/mol Photoelectron Spectrum Boron (Z=5) 19.3 MJ/mol RI = 2 Analysis: 1) Valence has 2 values: 2) RI is 2 to 1 in valence: 3) Closest core has RI 2 not 6: 4) s2s2p1 must be 1s22s22p1 sp s2p1 not pxs2p1 10 MJ/mol RI = 2 0.80 MJ/mol RI = 1 2s2 1s2 20 MJ/mol 1.36 MJ/mol 2p1 0 MJ/mol Photoelectron Spectrum 2p6 3.67 MJ/mol 1s2 2s2 104 MJ/mol Sodium (Z=11) 3s1 6.84 MJ/mol 0.50 MJ/mol {} 8 MJ/mol 4 MJ/mol 0 MJ/mol But there aren’t even any instruments! • • • All PES spectra will probably be “simulated” for the following reasons: PES post-dates atomic theory. Most PES is a solid-phase technique. Having so many nearby atoms will cause interference. For example, an electron promoted out of a low lying orbital will leave a vacancy which can be occupied by an outer orbital electron with concomitant production of a photon. If that photon is of high enough energy, it might eject a more easily ionized electron in the same atom or a nearby atom. This will result in the production of background interference and even spurious peaks. As a result, PES spectra derived from solids would be impossible for a non-expert to interpret. Why do it? • • • • Although it requires “simulated spectra” it is superior to other methods we describe in General Chemistry because, even in principle, atomic emission and successive ionization do not provide data which could be used to identify an atom in the context of an exam. At best they would allow a student to choose the most likely among a set of possibilities. Photoelectron spectroscopy allows questions to be written using visual as opposed to tabular data (as is required for successive ionization). Students can be asked to interpret a spectrum but they can also legitimately be asked to draw one. It’s a decently easy grade if you give the axes and requires essentially no “give away” information in the stimulus. Therefore, while the instruments aren’t accessible, understanding the principle allows more thoughtful questions to be asked about electronic structure than were previously possible. Photoelectron Spectroscopy (PES) Spectroscopy • Method of analyzing matter using electromagnetic radiation. Photoelectron Spectroscopy • PES apparatus: iramis.cea.fr Photoelectron Spectroscopy How it works: 1. Sample is exposed to EM radiation 2. Electrons jump out of sample and go through analyzer http://chemwiki.ucdavis.edu PES Data Electrons generally closer to the nucleus Electrons generally farther from the nucleus Each peak represents the electrons in a single sublevel in the atom The bigger the peak – the more electrons Number of electrons Energy to remove an electron (binding energy) (increases to the left!) Hydrogen vs. Helium Helium Hydrogen #e- #e- energy 1 electron in 1s energy 2 electrons in 1s The helium peak is twice as tall because there are twice as many electrons in the 1s sublevel Hydrogen vs. Helium Helium Hydrogen #e- #e- energy 1 electron in 1s energy 2 electrons in 1s The helium peak is farther to the left (higher energy) thus more energy is needed to remove the 1s electrons in helium. They must be held more tightly because there is a higher effective nuclear charge. (Helium has 2 protons pulling on 1s but hydrogen only has 1) Oxygen (1s22s22p4) Number of electrons 2 electrons in 1s 2 electrons in 2s Energy to remove an electron (binding energy) (increases to the left!) 4 electrons in 2p Scandium (1s22s22p63s23p64s23d1) Number of electrons *Notice that it takes more energy to remove an electron from 3d than from 4s. This is because as electrons are added to 3d they shield 4s thus it’s 2 in 3s easier (takes less energy) to remove 2 in1s 4s electrons compared to 3d 2 in 2s 6 in 2p electrons. Remember when transition metals make positive ions - it’s the s electrons that are lost first! 2 in 4s 6 in 2p 1 in 3d Energy to remove an electron (binding energy) (increases to the left!) Example 1: Number of electrons Identify the element whose PES data is shown to the right. Sodium Why is one peak much larger Than the others? This peak represents 6 electrons In the 2p sublevel the other Peaks represent only 1 or 2 electrons In which sublevel are the electrons Represented by peak A 3s A Energy Example 2: Oxygen Nitrogen #e- #e- energy energy The PES data above shows only the peak for the 1s electrons. Why is the peak for Oxygen farther to the left? It takes less energy to remove a 1s electron from nitrogen because it has a lower Effective nuclear charge (less protons) than oxygen Example 3: Number of electrons Draw the expected PES Spectrum for the element boron Energy Disregard This Hydrogen emission spectrum Line Spectra Helium was first detected in the Sun due to its characteristic spectral lines Greek word for the Sun, ήλιος (ílios or helios) . Emit color light ..\..\..\Videos\Javier Sotomayor - High Jump World Record - 2.45 m (8.046 ft).flv ..\..\..\Videos\World Record High Jump.flv Spectrum Excited Staten=4 UV Excited Staten=3 Excited State unstable and drops back down Excited State n=2 But only as far as n = 2 this time •Energy released as a photon •Frequency proportional to energy drop V i s i b l e IR n=1 Ground State . Emit color light Continuous Spectrum Emission Line Spectrum . Emit color light DNA Hydrogen emission spectrum Electron Orbitals ..\..\..\..\..\2013 2014\Worksheet\Videos\Solar System Video.flv Heisenberg Uncertainty Principle Definition: The scientific principle stating that it is impossible to determine with perfect accuracy both the position and momentum of a particle at any given point in time. Azimuthal Orbital Shapes & Energies n = number – shell - energy level ..\..\..\..\..\2013 2014\Worksheet\Videos\Atomic orbitals - electron configuration of Orbital Energies Electron Configuration Practice writing Electron Configuration Trends Periodic Table Trends Questions Effective Nuclear charge Electron Shielding Energy/Attractive/Repulsive forces https://www.youtube.com/watch?v=K-3jRZdscJA Effective Nuclear charge Electron Shielding Energy/Attractive/Repulsive forces The Values of First Ionization Energy for the Elements in the First Six Periods Practice Activities Not on New AP Exam Not on New AP Exam Absorba nce