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Foundations Models of the Atom and the Foundations for the Periodic Chart
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Foundations Models of the Atom and the Foundations for the Periodic Chart.

Dec 28, 2015

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Page 1: Foundations Models of the Atom and the Foundations for the Periodic Chart.

Foundations

Models of the Atom and the Foundations for the

Periodic Chart

Page 2: Foundations Models of the Atom and the Foundations for the Periodic Chart.

Copyright © Houghton Mifflin Company. All rights reserved. 2 | 2

The Periodic Table of the Elements Lists All Known Elements in Rows and Columns

Page 3: Foundations Models of the Atom and the Foundations for the Periodic Chart.

Copyright © Houghton Mifflin Company. All rights reserved. 2 | 3

Periodic Table Terminology

Page 4: Foundations Models of the Atom and the Foundations for the Periodic Chart.

Copyright © Houghton Mifflin Company. All rights reserved. 2 | 4

Discover of Subatomic Particles

• ~1897 J.J. Thompson measured the mass of cathode rays. He found them to be 1800 times lighter than the lightest known element. These were subsequently called electrons.

• ~1932 The development of the mass spectrometer showed integer variations of mass of particles.• The ratio of charge to mass determined the deflection

of an ionized particle in a magnetic field.• It was determined that a “+” charged particle accounted

for the deflection. This was the proton.• The integer mass differences unaffected by the

magnetic field had to be uncharged particles of mass equal to that of the proton. This was the neutron

Page 5: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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Having the particles, the question of where were they had to be answered.J.J. Thompson initially proposed the “Plum Pudding” model where the atomic mass was distributed evenly through the atom.

The Structure of the Atom

Page 6: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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Rutherford’s Gold Foil Experiment

Rutherford passed alpha particles through an extremely thin gold foil. He found most passed through but occasionally one would be deflected back.

Rutherford Conclusions: All of the mass of the atom is concentrated at the center or “nucleus”.

Page 7: Foundations Models of the Atom and the Foundations for the Periodic Chart.

Copyright © Houghton Mifflin Company. All rights reserved. 2 | 7

Schematic Magnified Cross-section of an Atom

Page 8: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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Atomic Particle Mass and Change

Page 9: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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Color and Energy and Visible Light Form a Continuous Spectrum

Page 10: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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Quantum Model and the Failure of Classical Physics

• Around the early 1900’s, many observations were unable to be explained using classical physics• Black body radation• Diffraction of electrons• Line Spectra

• Cumulated observation necessitated a new mechanics to explain them. The result was the birth of Quantum Mechanics

Page 11: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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(a) Light From a Hydrogen Lamp When Dispersed by a Prism is Split into its Components (b) The

Emission Spectrum of Hydrogen Consists of Just Four Colors of Visible Light: Red, Green,

Cyan, and Violet (Magenta)

Page 12: Foundations Models of the Atom and the Foundations for the Periodic Chart.

Copyright © Houghton Mifflin Company. All rights reserved. 2 | 12

(a) We Can View The Restricted Energy of an Atom as Steps on a Ladder, To the Left of the Ladder Is an Energy-level

Schematic for the Steps (b) The Line Spectrum Relates to the Difference Between the Positions of the Steps, Transition Energies for Five Transitions Ending on Level B are Shown Here as a Line Spectrum Below the Energy-level Schematic

Page 13: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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(a) Bohr's Model Shows the Electron Increasingly Far From the Nucleus in Higher-

energy Orbits (b) The Energy of the Electron is Shown in this Energy-level Diagram

Page 14: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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1927 Solvay Conference

Page 15: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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In the Oscillation of a Drumhead with No Friction, the Drumhead Cycles Indefinitely from a

Crest to Flat to a Trough, and Back Again

Page 16: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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Four Successively Higher Energy Modes of a Drum Shown as Surface Plots and Contour Plots, Contour Plots are Similar to

Maps with Elevation Lines

Vibrating Drumhead(You-Tube) mp4

Page 17: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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Image of a Copper Surface with a Ring of 48 Iron Atoms, Taken with a Scanning

Tunneling Microscope (STM)IBM Research Center

Page 18: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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An s Orbital Is Spherically Symmetric

Page 19: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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(a) The 1s Orbital is the Lowest Energy, n=1, State of the Electron (b) The Spherical Surface has been Cut by a Contour to Show the Space-filling Nature of the 1s Electron Wave (c) Looking Down on the Electron Contour Plot Clarifies the Circular Symmetry of the Electron Density (d) A Plot of the Amplitude of the Wave as a Function of the Distance from

the Center of the Sphere Illustrates the Exponential Drop in Density with Distance Away from the Nucleus

Page 20: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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The First Excited State of the Electron has One Node, When the Node Is a Spherical Node, the State Consists of Two Large-amplitude Spheres

and Is Called a 2s Orbital

Page 21: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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The Node of an Electron Orbital Can Be a Plane that Cuts Through the

Center of the Atom

Page 22: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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The Three p Orbitals Illustrated by the Bounding Surface that Contains 90% of the

Electron Wave, Orbitals are Labeled According to their Direction

Page 23: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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(a) A px Orbital Shownwith a Slicing Surface

in the x-z Plane (b) The Contour Map Shows the Node in

the y-z Plane (c ) The py and pz Orbitals are

Similar, with Lobes and Nodes Rotated

90 Degrees

Page 24: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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Orbitals are represented in Spherical Coordinates

Page 25: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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P-orbital equationsProblem 2.85 asks you to show that when the squares of

the probabilities are added, it results in a sphere of probability

Page 26: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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The Five 3d Orbitals. The Turquoise and Yellow Lobes are Crests and Troughs, Respectively.

The Labels for These Orbitals Reflect the Directions in which the Quadratic Function

has a Maximum Value

Page 27: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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A Plan Slicing Through One of the d Orbitals

Page 28: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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Four Quantum Numbers Indicate the Electron Orbital and Spin

Page 29: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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(a) Energy Levels in Hydrogen Depend Only on the Shell or Principal Quantum Number, n .(b) In Multi-electron Atoms, as Electrons Occupy Orbitals Nearer to the Nucleus, Outer Electrons are Shielded from the Nuclear Charge

Electron Shielding and Energy Levels

Page 30: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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The Ionization Energy of the Three Electrons in the Lithium Atom Demonstrate the Shielding of the Outer-

shell Electron by the Two Inner-shell Electrons

Page 31: Foundations Models of the Atom and the Foundations for the Periodic Chart.

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Ionization Energy Jumps After the First Ionization in Group 1, After the Second Ionization in Group

2, and After the Third Ionization in Group 13

Page 32: Foundations Models of the Atom and the Foundations for the Periodic Chart.

Copyright © Houghton Mifflin Company. All rights reserved. 2 | 32

Electron Filling Occurs in Blocks in the Periodic Table