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Lecture Presentation Chapter 6 Electronic Structure of Atoms © 2015 Pearson Education, Inc. James F. Kirby Quinnipiac University Hamden, CT Electronic Structure of Atoms Introduction to chapter 6 -- Electronic Structure • This chapter is all about electronic structure—the arrangement and energy of electrons. The arrangement of electrons is dependent on the electromagnetic forces between the electrons and the nucleus of the atom, which is explained using Coulomb’s Law • Coulomb’s law: the force between two charged particles is proportional to the magnitude of each of the two charges (q1 and q2), and inversely proportional to the square of the distance, r, between them. If the two charges are of opposite sign, the force between them is attractive; if they are of the same sign, the force is repulsive. • What this has to do with an atom: The closer an electron is to the nucleus, the more attraction it has to the nucleus The closer electrons are to each other, the more they repel one another • It may seem odd to start by talking about waves. However, extremely small particles have properties that can only be explained in this Electronic manner! Structure of Atoms © 2015 Pearson Education, Inc. 6.1 – The Wave Nature of Light • Electromagnetic Radiation = radiant energy that exhibits wavelike behavior and travels through space at the speed of light in a vacuum (3.00x108 m/s). Doesn’t require a medium for traveling. Ex. The light from the sun, microwaves, x-rays Electronic Structure of Atoms © 2015 Pearson Education, Inc. • Properties of electromagnetic radiation: a. wavelength ( ) = the distance between 2 consecutive crests or troughs of a wave. Common units are nm and m. b. frequency ( ) = the # of waves that pass a given point in space per second. SI unit = s-1 (hertz or Hz) for electromagnetic radiation, c = x (c=the speed of light (3 x 108m/s), λ is in m) So, λ and ν are inversely related Electronic Structure of Atoms © 2015 Pearson Education, Inc. 6.2 - Quantized Energy and Photons (the particle nature of light) The wave nature of light does not explain how an object can glow when its temperature increases. Electronic Structure of Atoms © 2015 Pearson Education, Inc. Max Planck explained it by assuming that energy comes in packets called quanta (singular: quantum). Electronic Structure of Atoms © 2015 Pearson Education, Inc. • The wave nature of light also does not explain the following: • Photoelectric effect = the ability of certain materials to emit electrons from their surfaces when struck by electromagnetic radiation of a minimum frequency. This demonstrates a particle-like quality of light. The particles are called photons. These photons transfer their energies to electrons, which are then ejected. Ephoton = h , where h=Planck’s constant (6.626 x 10-34 J s), and is frequency. • energy can be gained or lost only in whole-number multiples of h. Electronic Structure of Atoms © 2015 Pearson Education, Inc. 6.3 - Line Spectra and the Bohr Model Another mystery in the early twentieth century involved the emission spectra observed from energy emitted by atoms and molecules. Electronic Structure of Atoms © 2015 Pearson Education, Inc. Continuous vs. Line Spectra • For atoms and molecules, one does not observe a continuous spectrum (the “rainbow”), as one gets from a white light source. • Only a line spectrum of discrete wavelengths is observed. Each element has a unique line spectrum. • This cannot be explained by the wave theory Electronic Structure of Atoms © 2015 Pearson Education, Inc. The Bohr Model • Niels Bohr explained the line specta in this way: 1. Electrons in an atom can only occupy certain orbits (corresponding to certain energies). 2. Electrons in permitted orbits have specific, “allowed” energies; these energies will not be radiated from the atom. 3. Energy is only absorbed or emitted in such a way as to move an electron from one “allowed” energy state to another; the energy is defined by E = h Electronic Structure of Atoms © 2015 Pearson Education, Inc. The Bohr Model • When electrons go from a lower to a higher energy level, they absorb energy • When electrons go from a higher to a lower energy level, they emit the excess quantum of energy as a photon of light with an amount of energy equal to the difference in energy between the higher and lower energy level. Electronic Structure of Atoms © 2015 Pearson Education, Inc. Important Ideas from the Bohr Model Points that are incorporated into the current atomic model include the following: 1) Electrons exist only in certain discrete energy levels. 2) Energy is involved in the transition of an electron from one level to another. Electronic Structure of Atoms © 2015 Pearson Education, Inc. 6.4 - The Wave Behavior of Matter • Louis de Broglie theorized that if light can have material properties, matter should exhibit wave properties. • He said that a moving electron has a wavelength (very small) • Heisenberg (with his Uncertainty Principle) showed that the more precisely the momentum of a particle is known, the less precisely is its position is known • The work of these 2 scientists led to looking at the location of electrons in terms of probabilities instead of exact locations and paths, and describing electron behavior in terms of waves Electronic Structure of Atoms © 2015 Pearson Education, Inc. 6.5 - Quantum Mechanics • Erwin Schrödinger developed a mathematical equation into which both the wave and particle nature of matter could be incorporated. • This approach to electronic structure of an atom is known as quantum mechanics. • The solutions of his wave equation are designated with a lowercase Greek psi () (called a wave function). • The square of the wave function, 2, gives the electron density, or probability of where an electron is likely to be at any given time. © 2015 Pearson Education, Inc. Electronic Structure of Atoms • Atomic Orbitals – mathematically derived, they allow us to visualize a 3-dimensional region in which there’s a significant probability of finding an electron • n = the main energy level occupied by the electron (called the Principal Quantum Number). As n, the eenergy and distance from the nucleus . Electronic • n2 = the total # of orbitals in a main energy level. Structure of Atoms © 2015 Pearson Education, Inc. Sublevels – in each main energy level, there are n sublevels. Each sublevel has a different orbital shape and energy. The different shapes (from lowest energy to highest) are: s – spherical (s sublevels consist of 1orbital) p – dumb-bell shaped (p sublevels consist of 3 orbitals) d- complex shape (consists of 5 orbitals) f- complex shape (consists of 7 orbitals) orbital shapes Each atomic orbital is represented by the principal quantum number followed by the letter of the sublevel. Ex. 1s, 2p • Each orbital holds 2 electrons. Electronic Structure of Atoms © 2015 Pearson Education, Inc. 6.6 – Representation of Orbitals s Orbitals • They are spherical in shape. • The radius of the sphere increases with the value of n. • s orbitals are found in every main energy level © 2015 Pearson Education, Inc. Electronic Structure of Atoms p Orbitals • They have two lobes with a node between them. • p orbitals begin in the 2nd energy level Electronic Structure of Atoms © 2015 Pearson Education, Inc. d Orbitals • Four of the five d orbitals have four lobes; the other resembles a p orbital with a doughnut around the center. • d orbitals begin in the 3rd energy level Electronic Structure of Atoms © 2015 Pearson Education, Inc. f Orbitals • Very complicated shapes (not shown in text) • Seven equivalent orbitals in a sublevel • f orbitals begin in the 4th energy level Electronic Structure of Atoms © 2015 Pearson Education, Inc. 6.7 – Many-Electron Atoms • Energies of Orbitals— Hydrogen • For a one-electron hydrogen atom, orbitals on the same energy level have the same energy. • Chemists call them degenerate orbitals. Electronic Structure of Atoms © 2015 Pearson Education, Inc. Energies of Orbitals—Many-electron Atoms • Orbital energies are lower (more negative) than in hydrogen (because of the increased nuclear attractive force) • As the number of electrons increases, so does the repulsion between them. • Therefore, in atoms with more than one electron, not all orbitals on the same energy level are degenerate. • Orbital sets in the same sublevel are still degenerate. • Energy levels start to overlap in energy (e.g., 4s is lower in energy than 3d.) Electronic Structure of Atoms © 2015 Pearson Education, Inc. 6.8 - Electron Configurations • The way electrons are distributed in an atom is called its electron configuration. • The most stable organization is the lowest possible energy, called the ground state. • Each component of the electron configuration consists of 1) a number denoting the energy level 2) a letter denoting the type of orbital 3) a superscript denoting the number of electrons in those orbitals Example: 4p5 means 5 electrons in the p sublevel of Electronic energy level 4 Structure of Atoms © 2015 Pearson Education, Inc. • The Rules for Electron Configurations • 1. Aufbau principle: Electrons occupy orbitals of lowest energy first • Exceptions: One reason for exceptions is that filled and halffilled orbitals are more stable than partially filled. Electronic Structure of Atoms © 2015 Pearson Education, Inc. • 2. Pauli exclusion principle: An orbital only holds 2 electrons, and the electrons in the same orbital have opposite spins • 3. Hund’s rule: When entering orbitals of equal energy, the espread out when possible. Electrons in half-filled orbitals have the same spins. Electronic Structure of Atoms © 2015 Pearson Education, Inc. Orbital Diagrams • Each box in the diagram represents one orbital. • Half-arrows represent the electrons. • The direction of the arrow represents the relative spin of the electron. Electronic Structure of Atoms © 2015 Pearson Education, Inc. Types of Electron Configurations: • spdf notation – shows how many e- are in each sublevel, not how they are distributed in that sublevel • ex. Nitrogen = 1s22s22p3 • spdf notation (expanded) – shows the distribution in the last sublevel • ex. Nitrogen = 1s22s22px12py12pz1 • noble-gas-core abbreviated electron configuration (condensed electron configuration): replace part of the config. with a noble gas in brackets. • Ex. Nitrogen = He 2s22p3 © 2015 Pearson Education, Inc. Electronic Structure of Atoms 6.9 Electron Configurations and the Periodic Table • Elements in the same group of the periodic table have the same number of electrons in the outer most shell. These are the valence electrons. • The inner shell electrons are called core electrons. These include electrons in d or f sublevels, even though they might be of higher energy than the valence electrons. Electronic Structure of Atoms © 2015 Pearson Education, Inc. Periodic Table • Different blocks on the periodic table correspond to the filling of different types of orbitals: s = blue, p = pink (s and p are representative elements); d = orange (transition elements); f = tan (lanthanides and actinides, or inner transition elements) Electronic Structure of Atoms © 2015 Pearson Education, Inc. Exceptions to the Aufbau rule: exceptions sometimes occur when orbitals can be half-filled or filled by moving electrons up in energy (for sublevels that are close in energy) • For example, the electron configuration for chromium is [Ar] 4s1 3d5 rather than the expected [Ar] 4s2 3d4. • This occurs because the 4s and 3d orbitals are very close in energy. • These anomalies occur in f-block atoms with f and d orbitals, as well. Electronic Structure of Atoms © 2015 Pearson Education, Inc.