Bonding Bringing the atoms together More than one atom Until now, - - PowerPoint PPT Presentation

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Bonding Bringing the atoms together More than one atom Until now, - - PowerPoint PPT Presentation

Bonding Bringing the atoms together More than one atom Until now, we have been consumed with describing individual atoms of elements. However, isolating individual atoms in most elements is an arduous task given the scale. Most matter is


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Bonding

Bringing the atoms together

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Until now, we have been consumed with describing individual atoms of elements. However, isolating individual atoms in most elements is an arduous task given the scale. Most matter is composed of many, many atoms.

Matter

Pure substances*

Elements Compounds

Mixtures

Homogeneous Heterogeneous

*Pure is very hard to achieve in quantity

More than one atom

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Pure substances – typically more than one atom

So what is holding the polyatomic elements together?

Image by E.B. Watson

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Covalent bonds – the sharing of electrons 1s1 to 1s2 ([He]) 1s1 & [He] 2s2 2p5 to [Ne] [He] 2s2 2p5 to [Ne]

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Two hydrogen atoms in close proximity can share their electrons so that each takes on an electronic structure similar to He – a noble gas. The diatomic H-H system:

Covalent bonding

Images by E.B. Watson

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Electron Swapping

Best with elements of nearly identical electronegativity. e.g. H2 Hydrogen is 1s1 Another proton and electron would make He, a much more stable configuration- so when you bring two hydrogens together they share their electrons so each has 2 (sort of). The Covalent Bond Model

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This electron sharing is a very strong bond. This tends to by asymmetrical, and therefor difficult to pack into repeating lattices H2 O2 Cl2 F2

Image from Gill, 1996

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Image from Pauling, 1970

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Image modified from Zoltai and Stout, 1984

Diamond’s excited state

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Sharing an electron in 2p Sharing an electron in two vacancies with 1s in 2p

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Image after Zoltai and Stout, 1984

Electron distribution

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Double bonding

Two electron pairs are shared

Triple bonding

Three electron pairs are shared

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Coordinate covalent bonds – the shared electron is donated by atom. Most carry an overall negative charge (CO3)2-, (OH)-, (HCO3)-, (PO4)3-

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lithium (Li) 1s22s1 The 2s electrons are delocalized – move around For atoms with appropriate electron structure, electron swapping is quite easy when matter is condensed

Metallic bonding

Image by E.B. Watson

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Image by E.B. Watson

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Covalently bonded atoms have no charge, but most examples will orient themselves in an electric field Couloumb’s law So there must be an ionic character to the bond

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Ionization - losing

  • r gaining valence

electrons Can only attract so far – “solid spheres”

Ionic bonding

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Electronegativity! Ionic and covalent bonding are endmembers there is a range of between these two

  • extremes. How do we know if the bonding is

dominated by one form or another. Measuring electronegativity EAB > E(A2) + E(B2) EAB = E(A2) + E(B2) + is excess energy due to ionic attraction (+ and -) = 23(XA - XB) ---X is electronegativity --

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Periodicity of electronegativity

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Ionic-covalent character makes molecules dipolar

F, X = 4 H, X = 2.1

= 23|XA - XB|

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Silcates Si-O Sulfides M-S Fe 1.65 Fe-S:|1.8-2.5| = 0.7 S 2.5 Si 1.8 Si-O: |1.8-3.5| = 1.7 O 3.5 Silcates vs. Sulfides

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A compound containing just two elements "-ide“. The metal is named first: NaCl sodium chloride Multiple valence state Fe3+ or Fe2+. Higher valence state with the suffix "- ic" and the lower with "-ous": Fe2O3 ferric oxide FeO ferrous oxide Today we tend to use a more explicit approach Fe2O3 iron(III) oxide FeO iron(II) oxide

Ionic compounds

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More than two elements with polyatomic anions such as hydroxide OH- carbonate (CO3)2- nitrate (NO3)- phosphate (PO3)3- The compound names follow pretty logically: KOH potassium hydroxide CaCO3 calcium carbonate Polyatomic anions can have more than one configuration, e.g. nitrate (NO3)- nitrite (NO2)-

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CO2 carbon dioxide (Greek "di" for 2) CO carbon monoxide (Greek "mono" for 1) CCl4 carbon tetrachloride (Greek "tetra" for 4) Empirical Formulas Always used in ionic compounds NaCl CaF2 CH2O Covalent compounds

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Used for largely covalent compounds While CH2O accurately describes the ratio

  • f elements in glucose, it fails to

characterize the whole molecule Molecular Formulas

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Structural formulas show the geometry and bonding

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You are already familiar with atomic mass… Recall that the atomic mass of an element is the mass of the individual isotopes proportionally distributed. Molecular mass is obtained by summing the atomic mass for the number of atoms of each element. CaF2

  • at. mass
  • tot. mass

1 atom Ca 40.1 au 40.1 au 2 atoms F 19.0 au 38.0 au m.m. 78.1 au

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Avogadro's number Mg + O2 MgO A mole is the number of atoms or molecules (6.02 x 1023) needed to make a mass (g) equivalent to the atomic or molecular mass.

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Image from Gill, 1996

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Generally, directionality of bonds may be important in covalent species - bonds are generally weaker* Directionality less important for ionic bonds - radius ratios determine structures. * exception diamond

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As atoms approach, there is a coulombic attraction Ep (potential energy) = -e2/r But as ions approach, their electron distributions overlap, so there is a repulsion. Ep=-e2/r + (be2)/r12

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Balance between the

  • verall attraction of

atoms and the inter- electron repulsions Attraction F = kc q1 q2 r-2 Repulsion F is elastic rebound

Images by E.B. Watson

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Image from Gill, 1996

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NaCl vs. NaF F:1s2 2s2 2p5 Cl:1s2 2s2 2p6 3s2 3p5 Both are strongly electronegative So what differences might you expect?

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As it tuns out, the ions are not hard spheres, but more squishy! There is some variation allowed in the range of “acceptable” radius ratios (cation/anion) in this configuration.

Image from Blackburn and Dennen, 1994

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Ionic bonding is a reduction of excess energy because of (+) or (-) charges. Ionically-bonded compounds are charge balanced controls stoichiometry, or ratio of atoms in the compound Na+ + Cl- = NaCl Ca++ + 2F- = CaF2

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The Ionic Bond Model Changing coordination

Bonding

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The atoms are not stationary.

T Vibration 25oC 0.025 nm 600oC 0.060 nm

Image from Blackburn and Dennen, 1994

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Coordination

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Coordination

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Certain anion/cation ratios produce a predictable polyhedra in IONIC bonding.

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No Yes Yes, but... Preferred

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Symmetrically-packed structures

  • Atoms are spheres
  • Bonds must be either non-directional or highly

symmetical

Cubic packing Hexagonal packing

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Molecular structures

  • Composed of atoms characterized by strongly

directional bonding with low symmetry.

  • Result is clusters, chains, and layers of atoms

that are strongly bonded internally, but weakly bonded to one another.

  • Examples: ice, organic molecules
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Cubic Closest Packing

Colors here denote different layers of atoms

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Hexagonal Closest Packing

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Symmetrically-packed structures can be monatomic or multiatomic. Symmetrical packing applies to the larger anions. Monoatomic - Native Elements (Au, Ag, S) Multiatomic - Most oxides and many silicates

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Quartz: Two oxygens for every silicon. Charge of Si = +4, O = -2 We then say the stoichiometery is 1:2 Important: Si, Ti, Al, Fe, Mg, Ca, Na, K, P, O, S Today’s $10K question: how do we reconcile the overall stoichiometry (i.e. the chemical formula SiO2) with the coordination of SiO4?

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The tetrahedra link together such that the

  • xygens are shared

This illustrates the general principles of the architecture of crystals

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Endmember types

Polyhedra-frame structures

  • Bonding dominantly ionic
  • Anions group around cations

to make coordination polyhedra Silicates (SiO2 minerals) built of silicate tetrahedra which share corners with one another - this makes a framework. It imparts certain properties to the minerals: strong, hard, etc.

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Image from Klein and Hurlbut, 1985

Halite (NaCl)

Two ways to model NaCl: left, atoms of Na and Cl shown, right, atoms of Cl shown with coordination polyhedra (octahedra)

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How are these related?

Q U A R T Z

Six-fold symmetrical arrangement of tetrahedra all joined by common oxygen atoms.

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Rule 1. Interatomic Distance. A coordination polyhedron of anions is formed about each cat-ion. The cation-anion distance being determined by the radius sum and the coordination number of the cation by the radius ratio. Rule 2. Electrostaic Valency Principle. In a stable coordination structure, the total strength of the valence bonds that reach an anion from all neigh-boring cations is equal to the charge of the anion. Rule 3. Sharing of Polyhedral Elements I. The existence of edges. and particularly of faces, common to two coordination polyhedra decreases the stability of ionic structures. Rule 4. Sharing of Polyhedral Elements II. In a crystal containing different cations, those with large valence and small coordination tend not to share polyhedral elements with each other. Rule 5. Principle of Parity. The number of essentially different kinds

  • f constituents in a crystal structure tends to be small.

Pauling's Rules