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Chapter 4 Electrons In Atoms Properties of Light Electromagnetic Radiation: a form of energy that exhibits wavelike behavior as it travels through space. (ex. Visible light, x-rays, UV, IR, radio) Electromagnetic Spectrum: all forms of electromagnetic radiation together make up the spectrum. 4-2 Properties of Light Characteristics of Waves There are 4 main characteristics of waves: 1) Amplitude: The height of the wave measured from it’s origin to it’s peak. When you increase the intensity, or brightness of light, you are increasing it’s amplitude. 4-4 Characteristics of Waves 3 4 Characteristics of Waves 2) Wavelength: the distance between corresponding points on adjacent waves. Wavelength is designated by the Greek symbol lambda. Wavelength = λ 4-6 Characteristics of Waves 5 4 Characteristics of Waves 3) Frequency: the number of waves that pass a given point in a specific time. Measured in cycles per second (cycle/second, or s-1) The SI unit for this is Hertz. 1.0 Hz = 1.0 s-1 Frequency is designated by the Greek symbol nu. Frequency = υ 4-8 Characteristics of Waves Characteristics of Waves 4) Speed: the speed of light is constant. It is rounded to 8 3.00 x 10 m/s. The speed of light is represented by the letter c. c = λυ 4-10 The Photoelectric Effect Refers to the emission of electrons from a metal when light shines on the metal. Quantum: the minimum amount of energy that can be lost or gained by an atom Max Planck, a German physicist studied quanta of light and found: 4-11 The Photoelectric Effect E = hυ Where h is Plank’s Constant and has a value -34 of 6.6262 x 10 Js (energy) 4-12 The Photoelectric Effect Einstein expanded upon this to propose that light has a dual nature, acting as a wave under some circumstances and a particle under others. Photon: a particle of electromagnetic radiation having zero mass and carrying a quantum of energy. 4-13 Line Emission Spectrum Ground State: the lowest energy state of an atom Excited State: a state in which an atom has a higher potential energy than it has in it’s ground state. 4-14 Line Emission Spectrum Emission Line Spectrum: a graph that indicates the degree to which a substance emits radiant energy with respect to wavelenth. Continuous Spectrum: the emission of a continuous range of frequencies of electromagnetic radiation. 4-15 H Emission Spectrum Niels Bohr: a Danish physicist who proposed a hydrogen-atom model that linked the atom’s electron to photon emission. (electrons circle the nucleus in “orbits”) 4-16 H Emission Spectrum Emission Line Spectrum: a graph that indicates the degree to which a substance emits radiant energy with respect to wavelenth. Continuous Spectrum: the emission of a continuous range of frequencies of electromagnetic radiation. 4-17 H Emission Spectrum Emission Line Spectrum: a graph that indicates the degree to which a substance emits radiant energy with respect to wavelenth. Continuous Spectrum: the emission of a continuous range of frequencies of electromagnetic radiation. 4-18 The Quantum Model Heisenberg’s Uncertainty Principle: states that it is impossible to determine simultaneously both the position and velocity of an electron or any other particle. Quantum Theory: describes mathematically the wave properties of electrons and other very small particles. 4-19 The Quantum Model Quantum Numbers: specify the properties of atomic orbitals and the properties of electrons in orbitals. Quantum numbers were developed based on the Shrödenger Wave Equation, developed by Austrian physicist Erwin Shrödenger. 4-20 The Quantum Model Principal Quantum Number (n): indicates the main energy level occupied by the electron. Values are positive integers only (1, 2, 3, 4… with 1 being the lowest energy level closest to the nucleus) Angular Momentum Quantum Number (l): indicates the shape of the orbital. Values are 0, 1…n-1) 4-21 The Quantum Model l=0=s l=1=p l=2=d l=3=f The Quantum Model Magnetic Quantum Number (m): indicates the orientation of an orbital around the nucleus. Values, including zero, are –l to +l l = 0 = s orbital has only one orientation (sphere) l = 1 = p has three orientations l = 2 = d has five orientations l = 3 = f has seven orientations 4-23 The Quantum Model The Quantum Model The Quantum Model The Quantum Model Spin Quantum Number: indicates the two fundamental spin states of an electron in an orbital. Values are +1/2 or -1/2. Electron Configurations: the arrangement of electrons in an atom. 4-27 Orbital Filling Diagrams There are 3 basic rules, named after the scientists that discovered them, that govern the filling of these orbitals with electrons… 1) The Aufbau Principle: an electrons occupies the lowest energy orbital that can receive it. 4-28 Orbital Filling Diagrams 2) The Pauli Exclusion Principle: no two electrons in the atom can have the same set of four quantum numbers. 3) Hund’s Rule: Electrons occupy equal energy orbitals so that a maximum numbered of unpaired electrons results, and all e- in singly occupied orbitals must have the same spin. 4-29 Orbital Filling Diagrams When using this form, each electron is designated as an arrow ( or ) pointing up or down to show opposite spins. Each orbital is designated with a labeled line: ____ or __ __ __ 1s 2p Multiple lines show multiple orbitals (1 for s, 3 for p, 5 for d) 4-30 Orbital Filling Diagrams Orbitals fill going straight across each period (row) on the periodic table, from the lowest energy level up. (Aufbau). Don’t forget, when they pair, they have opposite spins (Pauli), but they won’t pair until each available orbital has an unpaired electron in it first (Hund) 4-31 Orbital Filling Diagrams 4-32 Orbital Filling Diagrams Hydrogen, with one electron, would have an orbital filling diagram of: 1s Helium, with 2 electrons, would be: 1s Now your at the end of the first period, start again in the 2nd period with 2s… 4-33 Orbital Filling Diagrams Lithium: 1s 2s Be: 1s 2s B: _ _ 1s 2s 2p Orbital Filling Diagrams Which of these would be correct for oxygen (with 8 e-): O: ? 1s 2s 2p OR 1s 2s 2p The first one is correct, the second example violates the Pauli Exclusion Principle. 4-35 Practice Write the orbital filling notation for the following elements: 1) Be:_________________________ 2) F:__________________________ 3) Ar:_________________________ 4) Cu:_________________________ 4-36 Electron Configurations Now your ready to write electron configurations. These are simply the orbital diagrams written out with superscripts: Lithium: 1s 2s would be written out as 1s2 2s1 Be: 1s 2s would be written out as 1s2 2s2 B: _ _ 1s 2s 2p would be written out as 1s22s22p1 4-37 Practice Write the electron configuration for the following elements: 5) Mg:________________________ 6) N:_________________________ 7) Cr:________________________ 8) Cl:________________________ 4-38 Electron Configurations Noble-Gas Configuration: refers to an outer main energy level occupied by eight e Once a subshell is complete at the end of a period, you can write subsequent configurations as having the core of the previous noble gas with the additional valence electrons. Sodium Na would have a noble gas notation of: Ne3s1 4-39 Practice Write the noble gas notation for the following elements: 9) Na:_________________________ 10) Sb:_________________________ 11) Y:__________________________ 12) F:__________________________ 4-40 Ch. 38 The End 4-41