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ATOMIC STRUCTURE
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Problem solving companion
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Electromagnetic Radiation
Waves have a frequency and a wavelength Use “nu”, , for frequency, and units are “cycles per sec” or Hertz (Hz) Use “lamda”, , for wavelength,(m) All radiation: • = c c = speed of light = 3.00 x 108 m/sec
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Electromagnetic Radiation
wavelength Visible light Wavelength, Ultaviolet radiation Amplitude Node , for frequency
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Electromagnetic Spectrum
• = c = 3.00 x 108 m/sec
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Electromagnetic Spectrum
Short wavelength --> high frequency high energy increasing frequency increasing wavelength Long wavelength --> small frequency low energy
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Electromagnetic Radiation
Red light has = 700 nm. Calculate the frequency. • = c = 3.00 x 108 m/sec
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Quantization of Energy
Max Planck ( ) An object can gain or lose energy by absorbing or emitting radiant energy in QUANTA. Energy of radiation is proportional to frequency E = h • h = Planck’s constant = x J•s
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Quantization of Energy
E = h • Light with large (small ) has a small E. Light with a short (large ) has a large E.
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Photons and Energy = 700. nm
Understand experimental observations if light consists of particles called PHOTONS of discrete energy. PROBLEM: Calculate the energy of 1.00 mol of photons of red light. = nm = x 1014 sec-1
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Energy of 1.00 mol of photons of red light.
E = h• = (6.63 x J•s)(4.29 x 1014 sec-1) = x J per photon (2.85 x J/ph)(6.02 x 1023 ph/mol) E per mol = kJ/mol This is in the range of energies that can break bonds.
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Excited Gases & Atomic Structure
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Atomic Line Emission Spectra and Niels Bohr
Bohr’s contribution; a simple model of the atom based on an understanding of the SHARP LINE EMISSION SPECTRA of excited atoms. Niels Bohr ( )
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Spectrum of Excited Hydrogen Gas
Excited atoms emit light of only certain wavelengths The wavelengths of emitted light depend on the element. Spectrum of Excited Hydrogen Gas
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Line Spectra of Other Elements
Figure 7.9
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Atomic Spectra and Bohr
One view of atomic structure in early 20th century was that an electron (e-) traveled about the nucleus in an orbit. Any orbit should be possible and so is any energy.
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Atomic Spectra and Bohr
If e-’s are in quantized energy states, then ∆E of states can have only certain values. This explain sharp line spectra.
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Atomic Spectra and Bohr
. Atomic Spectra and Bohr n = 1 2 E - C ( / ) N R G Y Calculate ∆E for e- “falling” from high energy level (n = 2) to low energy level (n = 1). ∆E = Efinal - Einitial ∆E = negative therefore Note that the process is EXOTHERMIC
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Line Emission Spectra of Excited Atoms
High E Short High Low E Long Low Visible lines in H atom spectrum are called the BALMER series.
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Problem solving companion
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Atomic Line Spectra and Niels Bohr
Rec’d Nobel Prize, 1922 Problems with theory — theory only successful for Hydrogen. So, we go on to QUANTUM or WAVE MECHANICS Niels Bohr ( )
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n (major) ---> shell l (angular) ---> subshell
QUANTUM NUMBERS The shape, size, and energy of each orbital is a function of 3 quantum numbers: n (major) ---> shell l (angular) ---> subshell ml (magnetic) ---> orbital within a subshell
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Shells n = 1 n = 2 n = 3 n = 4
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“Your Best Friend” Periodic table
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