Chapter 13: Electrons in Atoms Waves Properties() Frequency-number of waves that pass a given point per unit of time. () Wavelength- distance between similar points in a set of waves (crest to crest.) Properties of waves, cont. Amplitude- distance from crest or trough to the normal Energy- Waves do not carry energy, they transmit energy. The amount of energy determines the amplitude and the frequency. Energy vs. Amplitude Energy and amplitude are DIRECTLY related. As energy increases, amplitude increases. As energy decreases, amplitude decreases Review waves at home: http://www.glenbrook.k12.il.us/gbssci/p hys/Class/waves/u10l2a.html Speed of the wave Speed = frequency x wavelength= S= as frequency increases wavelength decreases inverse relationship- what does inverse mean? c = Speed of light 3.00 x 108 m/s (in a vacuum) Practice Problems What is the wavelength of a radio wave whose frequency is 1.01 x 108 Hz? Remember scientific notation-here it is again… Speed = wavelength x frequency 3.0 x 10 m 8 s 8 1.01 x 10 Hz speed 2.97 m Practice Problems What is the frequency of a green light which has a wavelength of 4.90 x 10-7 m? Speed = wavelength x frequency 3.0 x 10 m 8 s -7 4.9 x 10 m speed 3.0 8 ( 7 ) 10 Hz 4.9 6.12 x 10 Hz 14 Practice Problems An X-ray has a wavelength of 1.15 x 10-10 m. What is its frequency? Check your answer! Light as Particles quantum – term coined by Max Planck in the early 1900’s; it is the minimum amount of energy that can be gained or lost by an atom. 1. Planck’s constant (h) relates energy and frequency. 2. h = 6.626 x 10-34 Js 3. E = h 4. Frequency and energy are DIRECTLY related. Electromagnetic Spectrum Page 120 Frequency and energy have a direct relationship. About Light Light- Characteristics of light waves Visible light when bent (refracted) gives different colors, each color corresponds to a different frequency. (pg 120) ROYGBIV (E) (E) Light travels in bundles called photons. Energy = Planck's constant x frequency E=hv (unit for energy is the joule) Photon photon – a particle of electromagnetic radiation with no mass that carries a quantum of energy; a bundle of energy; a stream of tiny particles the idea of a photon was developed when Einstein, in 1905, said that electromagnetic radiation has both wavelike and particlelike natures Quantum leap When an electron is excited, by heat or electricity, it absorbs energy and jumps to a higher energy level. When the electron jumps down to a lower energy level it gives off energy in the form of light. Each jump is a different color. The colors given off are called the bright line spectra; it acts as a finger print for the element. Remember the flame tests we did? Atomic Spectra http://www.physics.lsa.umich.edu/demolab/graphics2/7b10_u2a.jpg http://www.physics.lsa.umich.edu/demolab/graphics2/7b10_u2b.jpg Flame tests Show colors unique to each element http://www.unit5.org/christjs/flam e%20tests.htm Ba2+ greenish-yellow Ca2+ brick-red Cu2+ green Sr2+ crimson Na1+ yellow K1+ Violet Bohr Models Because of the quantum leap Bohr theorized that the electron traveled in different energy levels. Bohr video Must watch at school! Try this video! A bohr diagram gives us a fair idea about where electrons are in their clouds The shells are labeled K, L, and M K has 2 e-, L has 8 e-, M has 18 e- Bohr Diagrams Try this practice site Draw a diagram of Carbon, Magnesium, and Silicon Modern Concept: Quantum Mechanical Model Bohr’s Model had two problems: Electrons are always moving Tests to “see” electrons move electrons Bohr's theory only works well in explaining one or two electrons. Modern theory is based on... Origins of Quantum Model 1. de Broglie- Dual nature of matter which says that that light can act like a particle and that particles can act like light waves. 2. Heisenberg's uncertainty principle - It is impossible to know both the speed and location of an electron at the same time. 3. Schodinger wave equation- predicts the location of the electron most of the time. Dealt with the probability of finding a blurry electron cloud which he called an orbital. 4. Orbital- a region of space in which the electron can be found 90% of the time. Quantum numbers From Schrodinger's equation each electron is assigned a set of quantum numbers to distinguish each from all other electrons (address) no 2 electrons have the same set of quantum numbers Pauli's Exclusion Principle Electrons in the same orbital must have opposite spin. (an orbital will hold only ____ electrons.) http://nobelprize.org/physics/laureates/1933/schrodinger-bio.html Quantum Numbers Decoded "Never say, 'I tried it once and it did not work.'" -- Ernest Rutherford Energy Level Quantum #n Sublevel type quantum # l s sublevel Spherical shaped 1 orbital Sublevel p dumbell shaped 3 orbitals Sublevel d Sublevel f 5 orbitals Remember an orbital can only contain 2 electrons! 7 orbitals Pictures of Orbital shapes P orbitals (2 of3) S orbital D orbitals (1 of 5) http://www.colorado.edu/physics/2000/elements_as_atoms/orbitals.html Labeling Electrons Orbital filling diagram and electron configuration. Both methods use the following rules. Aufbau Principle- fill lowest energy level first Hund's Rule- fill equal orbitals before pairing up. http://intro.chem.okstate.edu/WorkshopFolder/El ectronconfnew.html http://tinyurl.com/9v6zu Electron Configurations The Electron Dorm Always follow the order 1s 2s 2p 3s 3p 4s 3d 4p 5s 4d 5p 6s 4f 5d 6p 7s 5f 6d 7p Orbital Diagrams and Electron Configurations Let’s Practice Do the electron Configurations of elements 11-19 Lewis Dot Structures The dots around the atom’s symbol represent the electrons in the atoms outermost energy level. There will be no more than 8 Note how these dot structures follow the main group elements (A columns) of the periodic table. Lewis Dot Structures IA VA See your teacher to learn what the IIA dot structures look VIA like or look them up in your book! VIIA IIIA VIIIA IV A Elements with fewer than 4 electrons in the outer shell tend to lose electrons whereas elements with more than 4 outershell electrons tend to gain electrons! Practice Problem 1: Write the orbital filling diagram Write the electron configuration Write the noble gas notation. How many electrons in the outer shell In what period and group does this element appear on the periodic table? Metal, nonmetal or metalloid? Electron dot structure? Gain or lose electrons? Highest energy level filled? 80 35 Br Practice Problem 2: Write the orbital filling diagram Write the electron configuration Write the noble gas notation. How many electrons in the outer shell In what period and group does this element appear on the periodic table? Metal, nonmetal or metalloid? Electron dot structure? Gain or lose electrons? Highest energy level filled? 128 52 Te Practice Problem 3: Write the orbital filling diagram Write the electron configuration Write the noble gas notation. How many electrons in the outer shell In what period and group does this element appear on the periodic table? Metal, nonmetal or metalloid? Electron dot structure? Gain or lose electrons? Highest energy level filled? 133 55 Cs Answer to Practice Problem An X-ray has a wavelength of 1.15 x 10-10 m. What is its frequency? 3.0 x 10 m 8 18 s 2.73 x 10 Hz -10 1.10 x 10 Hz