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Topic 2/12 Overview 2.2: Electron configuration 2.1: The Nuclear Atom
12.1: Electrons in Atoms
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Continuous Spectrum
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Bright-line (emission) Spectra
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Hydrogen’s Line Spectrum
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Data Booklet and Light Info
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Light as a Wave λ m or nm ν 1/s = s-1 = Hz Properties Def. Symbol
Units Wavelength λ m or nm Frequency ν 1/s = s-1 = Hz
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Frequency (f) increases
Wavelength (λ) increases Frequency (f) increases
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Sample light and energy calculation
An FM radio station broadcasts at 95.1 MHz. Calculate the wavelength and identify the type of radiation using Table 3. Determine the energy of a photon this radiation.
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Sample light and energy calculation
An FM radio station broadcasts at 95.1 MHz. Calculate the wavelength and identify the type of radiation using Table 3. 95.1 MHz = 9.51 x 107 1/s λ = c/ν = 3.15 m Determine the energy of a photon this radiation. E = hν = 6.31 x J
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Learning Check An excited atom gives off a photon of light with a wavelength of nm. Find its frequency and energy.
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Learning Check An excited atom gives off a photon of light with a wavelength of nm. Find its frequency and energy. (λ= x 10-7m) ν = 6.89 x 1014 s-1 E = 4.57 x J
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The Bohr Model of the Atom
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Energy level transitions
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Energy level transitions
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Energy level transitions
Event Description Excitation: An electron moves to a higher energy level. Absorption: Atom takes in energy from heat, light, or electricity (moving electrons). Emission: The atom releases a photon of light with a wavelength determined by the the size of the energy difference between the two levels of the transition. Relaxation: An electron returns from a higher energy to a lower energy level.
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Balmer series (visible) e- drop into the n = 2
Lyman series (ultraviolet) e- drop into the n = 1 Paschen series (infrared) e- drop into the n = 3
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Convergence As n becomes larger, the spacing between neighboring levels decreases Energy levels in H atom converge at higher energies & shorter λ as n → ∞.
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Significance of Convergence
Convergence limit (def.)- the wavelength at which the discrete lines in the spectrum merge into a continuum as n → ∞.
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Significance of Convergence
The convergence limit corresponds to the energy required to completely remove the electron from the atom, a.k.a its ionization energy.
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Calculation of Ionization Energy from Convergence Limit
Sample problem: Calculate the ionization energy of hydrogen (in kJ mol-1) given that the convergence limit occurs at 91.2 nm. Compare answer with Data Booklet.
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Write a equation of the ionization energy of helium. [2]
Learning Check Blank sheet, open notes. Show ALL work, formulas, etc. BOX answers. Use UNITS and SIG FIGS. Independent. Write a equation of the ionization energy of helium. [2] Given that the convergence limit of helium is 50.4 nm, calculate the frequency of the convergence limit [1] ionization energy (in kJ mol-1) [2]
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Some definitions Ionization enthalpy, IE
energy change when 1 mol of e- removed from 1 mol of atoms in the gas phase
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Ionization Energies and your Data Booklet
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MCQ Which equation represents the first ionization energy of calcium?
A. Ca(g) →Ca+(g) + e– B. Ca(g) →Ca–(g) + e– C. Ca(g) + e– → Ca–(g) D. Ca+(g) + e– → Ca(g) E. Ca(g) → Ca2+(g) + 2e–
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Why is energy needed to ionize an atom?
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Ionization Energy (a.k.a 1st IE)
Amount of energy needed to remove 1 mol of electrons from 1 mole of atoms in the gaseous state.
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Successive Ionization Energy
Successive - one after another, sequential (IE1, IE2, IE3, IE4,...etc.)
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Successive Ionization Energy
2nd ionization energy (IE2) - energy required to remove a 2nd mole of e- from the ions produced by the loss of 1 e-.
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Successive Ionization Energy
2nd ionization energy (IE2) - energy required to remove a 2nd mole of e- from the ions produced by the loss of 1 e-. IE1: IE2:
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MCQ Which equation represents the third ionization energy for an atom of phosphorus? A. P(g) → P3+(g) + 3e- B. P2+(g) → P3+(g) + e- C. P3+(g) → P4+(g) + e- D. P3+(g) + e- → P2+(g) E. P(g) + 3e- → P3-(g)
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Why is IE1 < IE2 < IE3 < ...?
Be → Be+ + e- Be+ → Be e-
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Discontinuities in 1st IE graph
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Simple Rule If atom has n valence electrons, it will have a large “jump” at IEn+1.
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FRQ The graph represents the energy needed to remove nine electrons, one at a time, from an atom of an element. Not all of the electrons have been removed. Which element could this be?
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Actual electron configs
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Hydrogen’s Ionization Energy
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Helium’s Ionization Energy
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Lithium’s Ionization Energy
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Lithium’s Ionization Energy
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Beryllium’s Ionization Energy
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FRQ Complete the “Trends in 1st IE Activity” on the website. After graphing the IE for the 1st 20 elements, answer the question: What do you think are some possible claims we can make about the arrangement of electrons in atoms based on the patterns in IE’s?
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IE trends and energy level model
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Energy level model of the atom
Evidence from 1st IE’s reveals an electronic shell structure of:
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IE trends and energy level model
The presence of a decrease in IE from atomic #2 to #3 atomic #10 to #11 atomic #18 to #19 suggests a) that there is an abrupt change in distance of the electron being removed (i.e. energy levels)
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IE trends and energy level model
b) that the electron arrangement per energy level is: n = 1 2 e- max n = 2 8 e-max n = 3 8 e- max
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IE and sublevels Irregular pattern of increase indicates that not all e- in energy level have the same energy. Provides evidence for existence of energy sublevels.
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