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Chapter 5 Arrangement of Electrons I. II. III. IV. V. VI. Electromagnetic Waves Dual Nature of Light Bohr Model of the Atom Quantum Model Quantum Numbers Determining Number of Orbital Types and Electrons VII. Electron Configurations Review: History of the Atomic Theory 1803 1897 1909 1913 1935 Today solid particle electron proton e- orbit nucleus neutron Quantum Atom theory Dalton Thomson Rutherford Bohr Chadwick Schrodinge r and others I. Electromagnetic Waves A. Definition of a Wave 1. method by which energy is transferred from one point to another B. Definition of Electromagnetic Wave 1. a form of energy that exhibits wavelike behavior as it travels through space Origin - the base line of the energy Crest - high point on a wave Trough - low point on a wave Amplitude - distance from origin to crest Wavelength - distance from crest to crest abbreviated l Greek letter lambda. C. Properties of Electromagnetic Waves 1. Travels at 3 x 1010 cm / second (or 3.00 x 108m/s) in a vacuum Known as the “Speed of Light” 2. Vary in wavelength and frequency a. wavelength – distance between corresponding points on waves b. frequency – the number of waves that pass a point in a given amount of time (usually one second) • The number of waves that pass a given C. Frequency point per second is frequency • SI units are hertz (hz) or cycles/sec • Abbreviated n the Greek letter nu • Relationship between wavelength and frequency is expressed by c = ln Electromagnetic Wave Disturbance in a magnetic field is perpendicular to a disturbance in an electric field D. Examples of Electromagnetic Waves 1. radio waves 2. microwaves 3. infrared 4. white light (visible spectrum) 5. ultraviolet light 6. X-rays 7. gamma radiation EMS High Low energy energy Radio Micro Infrared Ultra- XGamma waves waves . violet Rays Rays Low High Frequency Frequency Long Short Wavelength Wavelength Visible Light Continuous Electromagnetic Spectrum ---------> increasing wavelength -----------> E. Wavelength, Frequency and Energy 1. wavelength and frequency a. the frequency increases as the wavelength decreases b. inverse relationship c = ln 2. frequency and energy a. as the frequency increases the energy increases b. direct relationship E = hn ---------------- > decreasing energy --------------------- ----------------> decreasing frequency ----------------> ---------------> increasing wavelength ----------------> Diagram Showing Wavelength and Frequency F. Types of Spectra 1. Continuous – all wavelengths within a given range are included 2. Electromagnetic – all electromagnetic radiation arranged according to increasing or decreasing wavelength a. unit for wavelength ranges from meters to nanometers b. unit for frequency is hertz (Hz) (# waves per second) 3. Visible spectrum - light you can see (ROY-G-BIV) a. red has the longest wavelength and the smallest frequency b. violet has the shortest wavelength and the greatest frequency 4. Bright Line spectrum (emission spectrum) a. bands of colored light emitted by excited electrons when they return to the ground state Passing Light Through a Prism • White light is made up of all the colors of the visible spectrum. • Passing it through a prism separates the colors in white light If the light is not white • By heating a gas with electricity we can get it to give off colors. • Passing this light through a prism does something different. Producing an Emission Spectrum • Each element gives off its own characteristic colors. • Can be used to identify the atom. • This is how we know what stars are made of. G. Spectroscopy 1. emission spectra of a substance is studied to determine its identity 2. spectroscope – instrument that separates light into a spectrum 3. spectral lines – represent wavelength of light emitted when excited electrons fall back to the ground state How Does a Spectroscope Work? Emission Spectrum (Line Spectrum) Emission Spectrum Max Planck (1858-1947) Albert Einstein Light and Electron Arrangement II. Light Has a Dual Nature!!!!! A. Light can act like a particle or a wave 1. emission and absorption of light by matter can not be explained by wave theory 2. only certain frequencies of light produce the photoelectric effect a. emission of electrons by some metals when they are exposed to light 3. In 1900 Max Planck observed that a hot object loses energy in packets called quanta a. this energy is directly related to the wave frequency ( E = hv) b. in 1905 Einstein said this relationship held for all electromagnetic radiation Ephoton = hv Light Has a Dual Nature (Particle + Wave) Light Interference Pattern (Wave Nature) Photoelectric Effect – Particle Nature Light hits a metal and electrons are released and an electric current may be produced Photoelectric Effect – Particle Nature of Light Only light of a certain frequency or higher will cause the photoelectric effect 4. Vocabulary a. quantum – quantity of energy gained or lost by an atom when electrons are excited b. photon – a quantum of light c. ground state – lowest energy level of an atom d. excited state – a heightened state of energy in an atom III. The Bohr Model of the Atom A. Electrons of hydrogen circle the nucleus in orbits 1. orbits have a fixed amount of energy in the ground state 2. orbits are a fixed distance from the nucleus 3. orbits furthest from the nucleus have the greatest energy Niels Bohr (1885 – 1962) Bohr Model of the Atom 4. Electrons in the ground state can absorb quanta of energy – become excited- and move to a higher orbit 5. Electrons emit quanta of energy when they return to the ground state 6. Model applies only to hydrogen atoms Bohr’s Model Nucleus Electron Orbit Energy Levels Bohr’s Model Increasing energy Fifth Fourth Third Second First Nucleus • Further away from the nucleus means more energy. • There is no “in between” energy • Energy Levels The Electron Becomes Excited • The energy level and electron starts from is called its ground state. • As it absorbs energy it goes up to an excited state energy level. • Then what happens? Ground State of the Electron in the Hydrogen Atom The black dot in energy level 1 is the electron • Energy in the form of heat, light or electricity can excite the electron so that it moves to higher energy levels (it becomes excited) • As the electron falls back to ground state it gives the energy back as light • Electron may fall down in steps • Each with a different energy Lyman, Balmer, Paschen Series for Hydrogen IV. Quantum Model of the Atom A. Problem With the Bohr Model – Why could the electron in hydrogen orbit in only a small number of allowed paths? B. Solving the Problem 1. Louis de Broglie – electrons have a dual nature - they can act like particles or waves !!! Diffraction Patterns x-rays through Al electrons through Al 2. Schrodinger – developed equations that treat electrons in atoms like waves a. describe the shapes of the orbitals in which electrons have a high probability of being found b. quantum theory – mathematical explanation for the wave properties of electrons that apply to all atoms Louis de Broglie (1892-1987) Electrons have a dual nature (particle + wave) Erwin Schrodinger (1887-1961) Schrodinger equation describes wave properties of electrons mathematically The Quantum Mechanical Model • The atom is found inside a blurry “electron cloud” • A area where there is a chance of finding an electron C. Principles of the Quantum Model 1. electrons act like waves and particles 2. probability of an electron being found at various distances from the nucleus 3. orbitals – a 3-D region about the nucleus where a specific electron may be found 4. electrons have greater energy as their distance from the nucleus increases 5. energies of orbitals are quantized within main energy levels 6. the exact location of electrons can not be pinpointed – they are found in regions of high probability called orbitals or electron clouds Similarities -Bohr and Quantum Model Quantum Atomic Model 1. The closer the orbital to the nucleus the lower the energy 2. To move from a lower to a higher level the energy absorbed must be equal to the difference between the levels 3. When e- drops from a higher to lower level electromagnetic radiation is emitted equal to the difference in energy levels 4. The most probable location of the e- is a distance equal to the lowest energy level. S orbitals • 1 s orbital for Every energy level • Spherical shaped • Each s orbital can hold 2 electrons • Called the 1s, 2s, 3s, etc.. orbitals. P orbitals • • • • Start at the second energy level 3 different directions 3 different shapes Each can hold 2 electrons P Orbitals D orbitals • Start at the third energy level • 5 different shapes • Each can hold 2 electronshttp://www.falstad.com/qmatom/ F orbitals Orbitals (s, p, d, f) Orbitals (s, p, d types) s orbitals (one type) p orbitals (3 types) d orbitals ( 5 types) Orbitals in Sodium (Na) V. Quantum Numbers A. Principal Quantum Number 1. main energy level B. Orbital Quantum Number 1. shape of orbital (s,p,d,f) C. Magnetic Quantum Number 1. orientation of orbital about the nucleus D. Spin Quantum Number 1.indicates clockwise or counterclockwise spin of the electron (+ or – ½) VI. Determining Number of Orbital Types and Electrons A. If n = the number of the principal energy level or shell ( 1-7) and there is a maximum of 2 electrons per orbital then: 1. n = the possible number of orbital types for that shell 2. n2 = total number of orbitals possible 3. 2n2 = total number of electrons possible Orbital shapes and maximum number of electrons in the in the first four energy levels # of Max shapes electrons Starts at energy level s 1 2 1 p 3 6 2 d 5 10 3 f 7 14 4 B. Examples If n = 3 then in energy level 3: • 3 orbital types possible (s,p,d) • 9 orbitals are possible • 18 electrons are possible (n) (n2) (2n2) If n = 4 then in energy level 4: • 4 orbital types possible (s,p,d,f) (n) • 16 orbitals are possible (n2) • 32 electrons are possible (2n2) VII. Electron Configuration A. Rules and Principles 1. Aufbau Principle – an electron occupies the lowest energy orbital that can receive it 2. Hund’s Rule – orbitals of equal energy are each occupied by one electron before any orbital is occupied by a second electron 3. Pauli Exclusion Principle – no two electrons in the same atom can have the same set of four quantum numbers 4. Heisenberg Uncertainty Principle Both the velocity and position of a particle (electron) can not be measured at the same time Werner Heisenberg (1901-1976) Heisenberg Uncertainty Principle • It is impossible to know exactly the position and velocity of a particle at the same time. • To measure where a electron is, we use light. • But the light moves the electron • And hitting the electron changes the frequency of the light. Before Photon Moving Electron After Photon changes wavelength Electron Changes Velocity B. Types of Electron Configurations 1. Electron –configuration notation a. indicates number of the principal energy level, the orbitals, and the number of electrons possible 2. Orbital Notation – arrows indicate location and spin of electrons 3. Electron-dot structure – indicates valence shell electrons ASSIGNING CONFIGURATIONS RULES TO REMEMBER 1) Electron occupies the lowest energy orbital that can receive it 2) An orbital can hold a maximum of 2 e3) Orbitals of equal energy are each occupied by one electron before any orbital is occupied by a second electron 4) No two electrons in the same atom can have the same set of quantum numbers 5) Always start with 1s Electron Configuration Notation Writing Electron Configuration Notation Examples • • • • Hydrogen • Helium • 1s2 Lithium • 1s22s1 Berylium • 1s22s2 1s1 Writing Electron Configuration Notation More Examples • Boron • 1s2 2s2 2p1 • Carbon • 1s2 2s2 2p2 • Nitrogen • 1s2 2s2 2p3 • Oxygen • 1s2 2s2 2p4 How to Remember Order to Assign Electrons (The easy Way) 7s 7p 7d 7f 6s 6p 6d 6f 5s 5p 5d 5f 4s 4p 4d 4f 3s 3p 3d 2s 2p 1s • 2 1s • 2 electrons Fill from the bottom up following the arrows 7s 7p 7d 7f 6s 6p 6d 6f 5s 5p 5d 5f 4s 4p 4d 4f 3s 3p 3d 2s 2p 1s • 2 2 1s 2s • 4 electrons Fill from the bottom up following the arrows 7s 7p 7d 7f 6s 6p 6d 6f 5s 5p 5d 5f 4s 4p 4d 4f 3s 3p 3d 2s 2p 1s • 2 2 6 2 1s 2s 2p 3s • 12 electrons Fill from the bottom up following the arrows 7s 7p 7d 7f 6s 6p 6d 6f 5s 5p 5d 5f 4s 4p 4d 4f 3s 3p 3d 2s 2p 1s • 2 2 6 2 1s 2s 2p 3s 6 2 3p 4s • 20 electrons Fill from the bottom up following the arrows 7s 7p 7d 7f 6s 6p 6d 6f 5s 5p 5d 5f 4s 4p 4d 4f 3s 3p 3d 2s 2p 1s • 2 2 6 2 1s 2s 2p 3s 6 2 10 6 3p 4s 3d 4p 5s2 • 38 electrons Fill from the bottom up following the arrows 7s 7p 7d 7f 6s 6p 6d 6f 5s 5p 5d 5f 4s 4p 4d 4f 3s 3p 3d 2s 2p 1s • 2 2 6 2 1s 2s 2p 3s 6 2 10 6 3p 4s 3d 4p 5s2 4d10 5p6 6s2 • 56 electrons Increasing energy 7s 6s 5s 4s 3s 2s 1s 7p 6p 5p 4p 6d 5d 4d 3d 3p • The first two electrons go into the 1s orbital 2p • Notice the opposite spins • only 13 more 5f 4f Increasing energy 7s 6s 5s 4s 3s 2s 1s 7p 6p 5p 4p 6d 5d 4d 5f 4f 3d 3p • The next electrons go into the 2s orbital 2p • only 11 more Increasing energy 7s 6s 5s 4s 3s 2s 1s 7p 6p 5p 4p 6d 5d 4d 3d 3p • The next electrons go into the 2p orbital 2p • only 5 more 5f 4f Increasing energy 7s 6s 5s 4s 7p 6p 6d 5d 5p 4d 4p 3p • 3s 2s 1s 2p • • • 5f 4f 3d The last three electrons go into the 3p orbitals. They each go into separate shapes 3 unpaired electrons 1s22s22p63s23p3 Writing Orbital Notation Writing Orbital Notation Writing Electron-dot Notation (show only valence electrons- outer shell) Writing Shorthand Configurations • Chlorine (Cl) 1s22s22p63s23p5 • Calcium (Ca) 1s22s22p63s23p64s2 • Iron (Fe) 1s22s22p63s23p63d64s2 Shorthand Configuration [Ne] 3s23p5 [Ar] 4s2 [Ar] 3d64s2 Practice Writing Shorthand Configuration 1. Magnesium (z = 12) [Ne] 3s2 2. Iodine (z = 53) [Kr] 4d105s25p7 3. Lead (z = 82) [Xe] 4f14 5d10 6s2 6p2