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Atomic Theory
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I. Waves & Particles (p. 91 - 94)
Ch. 4 - Electrons in Atoms C. Johannesson
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B. EM Spectrum HIGH ENERGY LOW ENERGY C. Johannesson
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B. EM Spectrum HIGH LOW ENERGY ENERGY R O Y G. B I V red orange yellow
green blue indigo violet C. Johannesson
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C. Quantum Theory Planck (1900)
Observed - emission of light from hot objects Concluded - energy is emitted in small, specific amounts (quanta) Quantum - minimum amount of energy change C. Johannesson
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C. Quantum Theory Einstein (1905) Observed - photoelectric effect
C. Johannesson
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“wave-particle duality”
C. Quantum Theory Einstein (1905) Concluded - light has properties of both waves and particles “wave-particle duality” Photon - particle of light that carries a quantum of energy C. Johannesson
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C. Quantum Theory The energy of a photon is proportional to its frequency. E = h E: energy (J, joules) h: Planck’s constant ( J·s) : frequency (Hz) C. Johannesson
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II. Bohr Model of the Atom (p. 94 - 97)
Ch. 4 - Electrons in Atoms C. Johannesson
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A. Line-Emission Spectrum
excited state ENERGY IN PHOTON OUT ground state C. Johannesson
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B. Bohr Model e- exist only in orbits with specific amounts of energy called energy levels Therefore… e- can only gain or lose certain amounts of energy only certain photons are produced C. Johannesson
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B. Bohr Model 6 Energy of photon depends on the difference in energy levels Bohr’s calculated energies matched the IR, visible, and UV lines for the H atom 5 4 3 2 1 C. Johannesson
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C. Other Elements Helium
Each element has a unique bright-line emission spectrum. “Atomic Fingerprint” Helium Bohr’s calculations only worked for hydrogen! C. Johannesson
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III. Quantum Model of the Atom (p. 98 - 104)
Ch. 4 - Electrons in Atoms C. Johannesson
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A. Electrons as Waves QUANTIZED WAVELENGTHS Louis de Broglie (1924)
Applied wave-particle theory to e- e- exhibit wave properties QUANTIZED WAVELENGTHS C. Johannesson
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A. Electrons as Waves QUANTIZED WAVELENGTHS C. Johannesson
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A. Electrons as Waves EVIDENCE: DIFFRACTION PATTERNS VISIBLE LIGHT
C. Johannesson
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B. Quantum Mechanics Heisenberg Uncertainty Principle
Impossible to know both the velocity and position of an electron at the same time C. Johannesson
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B. Quantum Mechanics Schrödinger Wave Equation (1926)
finite # of solutions quantized energy levels defines probability of finding an e- C. Johannesson
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Radial Distribution Curve
B. Quantum Mechanics Orbital (“electron cloud”) Region in space where there is 90% probability of finding an e- Orbital Radial Distribution Curve C. Johannesson
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C. Quantum Numbers Four Quantum Numbers:
Specify the “address” of each electron in an atom UPPER LEVEL C. Johannesson
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C. Quantum Numbers 1. Principal Quantum Number ( n ) Energy level
Size of the orbital n2 = # of orbitals in the energy level C. Johannesson
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C. Quantum Numbers 2. Angular Momentum Quantum # ( l ) Energy sublevel
Shape of the orbital f d s p C. Johannesson
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C. Quantum Numbers n = # of sublevels per level
n2 = # of orbitals per level Sublevel sets: 1 s, 3 p, 5 d, 7 f C. Johannesson
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C. Quantum Numbers 3. Magnetic Quantum Number ( ml )
Orientation of orbital Specifies the exact orbital within each sublevel C. Johannesson
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C. Quantum Numbers px py pz C. Johannesson
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C. Quantum Numbers Orbitals combine to form a spherical shape. 2s 2px
2pz 2py 2px C. Johannesson
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C. Quantum Numbers 4. Spin Quantum Number ( ms )
Electron spin +½ or -½ An orbital can hold 2 electrons that spin in opposite directions. C. Johannesson
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C. Quantum Numbers Pauli Exclusion Principle 1. Principal #
No two electrons in an atom can have the same 4 quantum numbers. Each e- has a unique “address”: 1. Principal # 2. Ang. Mom. # 3. Magnetic # 4. Spin # energy level sublevel (s,p,d,f) orbital electron C. Johannesson
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Feeling overwhelmed? Read Section 4-2! C. Johannesson
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