Parts of a Wave Unit 4: Electron in Atoms • How are electrons related to electromagnetic radiation? • Does the location of an electron influence the behavior of an atom? • How do we most accurately describe the location of electrons around a nucleus? •Wavelength (l) •Length of one wave •Measured in unit of distance (m, nm, etc.) l •Frequency(n) •Number of cycles in one second •Measured in Hertz (1 Hz = 1 cycle/sec = s-1) EMR EMR • All waves have different l and n • What is relationship between l and n? • Electromagnetic Radiation (EMR) – Energy with wave-like behavior as it travels through space – Higher Frequency = Lower Wavelength • Electromagnetic Spectrum • Visible Light is only part our eyes can detect – Organizes emr according to l and n – We only see about 1.5% of the spectrum EMR • To find n or l of a wave Atomic Spectra Ground State • – c = ln – Excited State • – c = Speed of Light = 3 x 108 m/s – If you know l or n, you can determine what type of EM wave it is Lowest possible energy level Normal energy level of e- – – – Higher energy Level Caused by energy gain of eUnstable and short-lived state 1 Atomic Spectra • Emission Process Atomic Spectra • Atomic Emission Spectrum – e- start in ground state – e- absorb energy from source and jump to excited state – e- release energy due to instability • Return to ground state • Released energy appears as light – Shows wavelengths of visible light released by excited electrons – Unique for each element • Intensive property – used to identify – Viewed with Spectroscope • Prism that separates colors of light Energy • Photoelectric Effect – Heinrich Hertz – 1887 – Electrons are emitted by matter when emr is absorbed – Short wavelength needed • Often blue light or UV – Used in solar cells, cameras, etc. Energy • Photon – Albert Einstein - 1905 – Particle of radiation – Zero mass – Carrying a quantum of energy • Radiation is a stream of photons Energy • Quantum – Max Planck – 1900 – Minimum amount of energy that can be gained or lost by an atom – Packet of energy Energy • To calculate energy of a photon: E = hn – h – Planck’s constant = 6.626 x 10-34 J‧s • For wavelength: E = hc l •Higher E –Higher n and lower l 2 Energy • Is energy a wave or a particle? – Yes • Wave-Particle Duality – Louis de Broglie -1924 – Matter moves like a wave – Like standing waves of a stringed instrument Quantum Mechanical Model • Quantum Mechanical Model – AKA: Electron Cloud Model – Erwin Schrödinger – 1933 – Described changes to system over time – Schrödinger equation is solved to indicate probable regions where e- is located Quantum Numbers • Principal quantum number (n) – Energy level of e– Determines size of area where e- can be found – Higher n = larger area for movement – Number from 1–7 Bohr Model • Bohr’s Ring Model – Electrons travel like planets around nucleus – Electrons move between energy levels in atom – Only works for hydrogen atoms Quantum Numbers • Quantum Numbers – Describe region where e- should be located – Regions called Suborbitals – 4 numbers needed to best describe location of e - Quantum Numbers • Angular momentum quantum number(l) – Shape of suborbital – Shapes are bigger for higher energy levels 3 Suborbitals • S Suborbitals Suborbitals • P Suborbitals – Spherical – 1 orbital per energy level – 2 e- per energy level – n>0 – Dumbbell-shaped – 3 orbitals per energy level – 6 e- per energy level – n>1 Suborbitals • D suborbitals – 5 orbitals per energy level – 10 e- per energy level – n>2 Quantum Numbers Magnetic quantum number (mI) Which orbital the electron is in Gives the axis orientation (X,Y,Z) Suborbitals • F Suborbitals – 7 orbitals per energy level – 14 e- per energy level – n>3 Quantum Numbers • Electron spin quantum number (ms) – Which e- in orbital – Either +1/2 or -1/2 4 Electrons • Where exactly are the electrons? – Hard to tell – Electrons are almost like spinning fans Electron Configuration • Electrons fill in an atom in a specific order • We follow 3 rules to get the correct electron configuration for each atom: 1. Aufbau Principle 2. Pauli’s Exclusion Principle 3. Hund’s Rule Electron Configuration • Pauli’s Exclusion Principle – Wolfgang Pauli – 1925 – Only 2 electrons per orbital – Electrons in same orbital must have opposite spins – Spin is represented by an arrow Electrons • Uncertainty Principle – Werner Heisenberg – 1927 – More you know about position of e-, less you know about where it’s going – Can’t really know all 4 quantum numbers Electron Configuration • Aufbau Principle – As electrons are added to atom they arrange themselves in orbitals – Fill up in order of lowest energy (1s) to the highest energy Electron Configuration • Hund’s Rule – Friedrich Hund – 1925 – Lowest energy configuration is the one with maximum unpaired electrons – Pair e- in orbital only when necessary 5 Electron Configuration • Orbital Diagrams – Show arrangement of electrons in orbitals – Max of 2 e- per box – Draw all boxes in suborbital (even if empty) – Ex: P – 15 e1s2 2s2 2p6 3s2 3p3 Valence Electrons • Core electrons – Inner electrons • Valence electrons – The electrons in the outermost energy level – Determine how atoms bond – Count electrons by level to determine valence Noble Gas Configuration • Noble Gases – Stable, unreactive gases • e- config won’t change – Far right of table – group 18 (He, Ne, etc.) • Noble Gas Configurations 1. Place symbol of previous noble gas in brackets 2. Continue configuration after last e- of noble gas Valence Electrons • You can also use periodic table to determine valence e• Valence e- are same as column of main group elements (s- and p- block) • d- and f- block elements always have 2 valence e- Lewis Dot Diagrams • Lewis Dot Diagrams – Indicate arrangement of valence e- in atom – Draw valence e- as dots around chemical symbol – Spread out in 4 directions – MAX 8 dots – Pair only when needed – Ex: C • 4 valence e– Ex: O • 6 valence e- 6
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