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Copyright 2004 - John Say les 1 Review Unit 1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

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Page 1: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

Copyright 2004 - John Sayles 1

Review Unit 1Review Unit 1

Atomic Theory, Atomic Structure,

Quantum Mechanics,

and Periodicity

Page 2: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

Copyright 2004 - John Sayles 2

Evidence for AtomsEvidence for Atoms Law of Constant Composition

– Water is always 8 grams O for every 1 gram H– MASS relationship

Law of Conservation of Mass– Mass of products = Mass of reactants– MASS relationship– Not obeyed in nuclear processes

Law of Multiple Proportions– Mass ratio of C/O in carbon monoxide divided by mass ratio of

C/O in carbon dioxide is a small whole number– Ratio of mass ratios is a small whole number– MASS relationship

Page 3: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

Copyright 2004 - John Sayles 3

Postulates of Atomic TheoryPostulates of Atomic Theory

Matter is composed of atoms. – Formerly thought to be indivisible

Elements are composed of only one type of atom.

Compounds are composed of 2 or more types of atoms chemically combined.

Chemical reaction is a rearrangement of atoms

Page 4: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

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Atomic StructureAtomic Structure

Atoms made of p+, n, e-

– p+ ~ 1amu n ~ 1amu e- ~ 0 amu e- are the most important component

– Arranged in shells, as per QM History of atomic models

– Dalton: indivisible atom; meteorological data– Thompsen: plum-pudding model with e-; Crooke’s tube– Rutherford: planetary model; Gold foil exp’t– Bohr: quantized atom; based on Spectro data– Schrodinger: QM; applied wave physics to the e-

Page 5: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

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Quantum MechanicsQuantum Mechanics

Wave<-->Particle duality leads us to treat e- as waves, not as particles with trajectory

Each e- has wave eq’n, , built by considering all PE’s and KE’s of the e-

2 gives probability density = orbital picture H gives Energy of the e-

gives rise to 4 quantum numbers

Page 6: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

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Quantum NumbersQuantum Numbers

n = principal QN = gives energy level– Restricted to 1,2,3 …

l = angular momentum QN = gives orbital– Restricted to 0,1,2 … n-1

ml = magnetic spin QN = gives specific orbital– Restricted to -l,…,0,…+l

ms = spin QN = allows only 2 e- per orbital– Restricted to +1/2 or -1/2

Page 7: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

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QM - Aufbau PrinciplesQM - Aufbau Principles

Fill lowest energy orbitals first– 2nd law of Thermodynamics

e- spread out among degenerate orbitals– Hund’s Rule of Maximum Multiplicity– Like to have lots of unpaired e-’s with parallel spins

Only 2 e-’s per orbital– Pauli Exclusion Principle says you can’t have identical

e-’s in an atom– Having two diff. spins allows the 2 e-’s in an orbital to be

non-identical

Page 8: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

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QM MiscellaneousQM Miscellaneous

Heisenberg Uncertainty Principle– Determining the position of an e- changes its momentum

and vice-versa

– Mathematically,(∆x)(∆p)=h/(4π)

Magnetic properties– Ferromagnetism is conventional magnetism

– Paramagnetism is caused by unpaired e- with parallel spins

– Diamagnetism is due to the absence of unpaired e-

Page 9: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

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PeriodicityPeriodicity

Periodic Law: when elements are arranged in order of increasing atomic number, many of their properties repeat in a periodic manner (Dmitri Mendeleev)

For each periodic property, we need– Definition– Trends down family/group and across period– Explanation of both trends

Page 10: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

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Electron Configuration (Valence)Electron Configuration (Valence)

Electron config is the mother of all periodic properties

Every 2,8,18,32 elements we get another element with the same e- config– Li is 2s1, Na is 3s1, K is 4s1, Rb is 5s1, etc…

Valence is repeated in the same way– All alkali metals are +1

Page 11: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

Copyright 2004 - John Sayles 11

Atomic radiusAtomic radius

The father of all periodic propertiesIn explaining the other trends, you’ll always

get back to radius and Coulomb– Fes attraction = k Q1Q2/r2

Def’n: distance from nucleus to outermost e-

Trends: – increases down family (no surprise)– Decreases across period (¿que?)

Page 12: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

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Explaining Atomic RadiusExplaining Atomic Radius

Vertical trend is easy; adding entire shell of e-

Horizontal trend is trickier– Shielding: Inner shell e- shield the valence e-

from the pull of the nucleus– Effective Nuclear Charge: the pull the valence

e-’s feel is the actual nuclear charge - # of shielding e-

– Effective nuclear charge increases across a period, therefore radius decreases

Page 13: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

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Ionization EnergyIonization Energy

Def’n: Energy needed to remove outermost e-

Trends:– Decreases down family– Increases across period

Explanation– Outer e- in large atom is farther away and

therefore less tightly held– Fr has lowest IE (biggest r); F has ~ highest

Page 14: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

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Electron AffinityElectron Affinity

Def’n: Energy released when an atom gains an e-

– Opposite of IE

Trends:– Decreases down family– Increases across period

Explanation– Smaller radius atoms grab e- more tightly

Page 15: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

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ElectronegativityElectronegativity

Def’n: scale created to indicate an atoms ability to attract e-

Similar to electron affinityTrends and explanation same as for EAUseful later for predicting

– Whether ionic or covalent bonds will form and– How polar a covalent bond will be

Page 16: Copyright 2004 - John Sayles1 Review Unit 1 Atomic Theory, Atomic Structure, Quantum Mechanics, and Periodicity

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Mettalic CharacterMettalic Character

Def’n: metals are – Shiny (have luster)– Conduct heat and electricity– Are malleable and ductile (opposite of brittle)– React by losing e-’s

Trends– MC increases down family– MC decreases across period– Metals are at lower left of the staircase

Explanation: large atoms lose e-’s better