Chapter 2: Atomic Structure And Interatomic Bonding

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Chapter 2: Atomic Structure andInteratomic Bonding Atomic StructureElectron ConfigurationPeriodic TablePrimary Bonding– Ionic– Covalent– Metallic Secondary Bonding or van der Waals Bonding– Three types of Dipole Bonding MoleculesChapter 2 -

Why Study Atomic Structure andInteratomic Bonding?Two Allotropes of CARBONGraphite- Relatively soft- Greasy feel to it- Reasonably goodconductor of electricityDiamond- The hardest known material- Poor conductor of electricityThe disparities in properties are attributed to a type ofinteratomic bonding found in graphite that does not exist inChapter 2 diamond

Atomic Structure (Freshman Chem.) atom –electrons – 9.11 x 10-31 kgprotons-27 kg1.67x10neutrons} atomic number # of protons in nucleus of atom # of electrons of neutral species A [ ] atomic mass unit amu 1/12 mass of 12CAtomic wt wt of 6.023 x 1023 molecules or atoms1 amu/atom 1g/molCH12.0111.008 etc.Chapter 2 - 3

Atomic ModelsChapter 2 -

Timeline of Atomic TheoryDemocritus’ Aristotle and PlatoatomosDaltonJ.J. Thomson460 BC360 BC180818971909 1913 1923E. RutherfordN. BohrWave MechanicalChapter 2 5

400 BC - Democritus Ancient Greek philosopher Democritus coined the term átomos whichmeans "uncuttable" or "the smallest indivisibleparticle of matter".Structure of MatterPhysical world“VOID BEING”Chapter 2 -

Democritus Democritus postulated that atomswere completely solid, hard and smallparticles with no internal structure andhas an infinite variety of shapes andsizes. This theory was ignored for more than2000 years!Chapter 2 - 7

The Atomic Theory of MatterAristotle and Plato There can be no ultimatelyindivisible particles. Believed that fire, earth, air andwater were the four mainelements that world was madeup of.Chapter 2 - 8

1803 – John Dalton English instructor and naturalphilosopher “Each element consists ofatoms of single unique typeand can join to form chemicalcompounds.” Beginning the modern atomictheoryChapter 2 -

The Atomic Theory of MatterDalton’s Atomic Theory Postulates1. Elements are composed ofextremely small particles calledatoms.2. All atoms of a given element areidentical, having the same size,mass and chemical properties. Theatoms of different elements aredifferent. Different elements havedifferent atomic properties such asatomic mass.Chapter 2 - 10

Assist. Prof. Dr. İlkay KALAYThe Atomic Theory of MatterDalton’s Atomic Theory3. Atoms of an element are neither created nor destroyedby any chemical reactions. Chemical reactions onlyinvolve the combination, rearrangement or separation ofatoms.4. Compounds are formed from thecombination of atoms of more than oneelement. A compound always has thesame relative number and kind ofatoms.Chapter 2 - 11

1869 - Mendeleev Building upon earlierdiscoveries by scientists,Mendeleev published the firstfunctional PERIODIC TABLE. Certain chemical properties ofelements repeat periodicallywhen arranged by atomicnumber. The periodic table was firstdeveloped by Mendeleev andMeyer on the bases ofsimilarity in chemical andphysical properties exhibitedon certain elements.Chapter 2 -

Periodic TableDraft of the first periodic table, Mendeleev, 1869Chapter 2 -

1869 Chapter 2 -

Today: Periodic Table of theElementsChapter 2 -

1897 – Sir J. J. Thomson Although Dalton had postulated that atomswere indivisible, the studies have shown amore complex structure for an atom. J. J. Thomson conducted a series ofexperiments which showed that the atomswere not indivisible Discovered the electron (1906 Nobel Prizein Physics).Chapter 2 -

Atom is composed of even smaller particles buthow the particles fit together?J. J. Thomson proposed the atom consisted of a uniform positivesphere of matter in which the electrons were embedded.Plum Pudding (1904): “Theatom as being made up ofelectrons swarming in a sea ofpositive charge.J. J. Thomson's "plum-pudding"model of the atomChapter 2 - 17

1909 – E. Rutherford Tested and disproved the PlumPudding Model.Rutherford's experiment on the scatteringof α particles by metal foil Results:– Majority of a particles transmitted (pass through) ordeflected through small angles– Tiny fraction deflected through large anglesChapter 2 -

1909 – E. Rutherford Conclusion:– Disproved the Plum-Pudding Model– Large amount of the atom's charge and mass isconcentrated into a small region– Atom was mostly empty space Objections to Rutherford model– The laws of classical mechanics predict that theelectron will release electromagnetic radiation whileorbiting a nucleus. Because the electron would loseenergy, it would gradually spiral inwards, collapsinginto the nucleus.– This atom model is unsuccessful, because it predictsthat all atoms are unstable.Chapter 2 -

The Modern View of Atomic StructureThe structure of an (amu)ElectronNegative (-1)5.486 x10-4ProtonPositive ( 1)1.0073NeutronNeutral (0)1.0087ParticleCharge (C)Electron-1.6022 x 10-19Proton1.6022 x 10-19Neutron0Chapter 2 - 20

Assist. Prof. Dr. İlkay KALAYThe Modern View of Atomic StructureThe structure of an atomThe atoms are small and the atomic dimensions are expressedin terms of Angstrom (Å) unit.1 Å 10-10 mNucleus 10-4 Å1-5 ÅSchematic view of anChapter 2 - 21

Assist. Prof. Dr. İlkay KALAYThe Modern View of Atomic StructureThe structure of an atomü All atoms of an element have the same number of protons in thenucleus.ü The number of protons in the nucleus of an atom is calledatomic number (Z).ü Because the atoms have no net electrical charge, # of protons # of electrons.ü The total number of protons and neutrons in a nucleus is calledmass number (A).Mass number AAtomic number Z126CChapter 2 - 22

Assist. Prof. Dr. İlkay KALAYThe Modern View of Atomic Structureü All nuclei of the atoms of a particular element have the sameatomic number, but the the number of neutrons and so massnumbers may be different. Atoms of a given element with adifferent mass numbers are called isotopes.ü Most elements occur in nature as mixtures of isotopes.Symbol116126136146CCCC# ofelectrons# of protons# ofneutrons665666667668An atom of a specific isotope is called anuclide.Chapter 2 - 23

The Periodic TableThe periodic table, developed in 1869, shows the arrangement of elementswith similar chemical and physical properties in order of increasing atomicnumber.Periodic table presentsatomic number, atomicsymbol and atomicweight for eachelement.40Atomic number91.224Atomic symbolAtomic weightZrChapter 2 - 24

1912 – N. Bohr Many phenomena involvingelectrons in solids could not beexplained in terms ofCLASSICAL MECHANICS. We need QUANTUM MECHANICS Chapter 2 -

LineSpectraandTheBohrModelBohr’s ModelBohr proposed a model of the hydrogen atom that explains its line spectrum.Bohr’s postulates Rutherford atom is correct Classical EM theory not applicable to orbiting e Newtonian mechanics applicable to orbiting e Eelectron Ekinetic Epotential Only orbits of certain radii, corresponding to certain definite energies arepermitted for electrons in an atom. An electron in a permitted orbit has a specific energy and is in allowedenergy state. An electron in an allowed energy state will not radiateenergy and therefore will not spiral into the nucleus. During the transition of an electron from one allowed energy state toanother, energy is only emitted or absorbed by an electron. This energy isemitted or absorbed as a photon, ΔE Ef-Ei hν hc/λ where c νλChapter 2 26

LineSpectraandTheBohrModelEnergy States of the Hydrogen - ‐ llowedenergystatetoanother.- ‐ Thestatesshownarethoseforwhichn 1throughn 6,andthestateforn ,forwhichtheenergy,E,equalszero.Chapter 2 27

Bohr’sModelThe lower the value of n, the smallerthe radius of the orbit, and the lowerthe energy level.n 1 ground state (lowest energy state)(orbit closest to the nucleus)n 2, 3, or higher excited ydrogenatomfromtheBohrmodel.Chapter 2 28

BOHR ATOMorbital electrons:n principalquantum number12n 3Adapted from Fig. 2.1,Callister 6e.Nucleus: Z # protonsN # neutronsAtomic mass A Z NChapter 2 - 2

1913 - Sommerfeld German theoretical physicist Modified the Bohr Model “suppose we have plurality of orbits” – a shellcontaining multiple orbits: ORBITALS How to capture these new ideas quantitatively? We need new quantum numbers: n, l, m, sn principal quantum number, distance of anelectron from the nucleusl subshell, describes the shape of the subshellm number of energy states in a subshellChapter 2 s spin moment

Wave mechanics to arrive at same place:E E(n,l,m,s) The Bohr model – significant limitations Resolution: Wave-mechanical model(electron is considered to exhibit both wave-like andparticle-like characteristics).– De Broglie: “If a photon which has no mass, canbehave as a particle, does an electron which has masscan behave as a wave (1920)?” λ h/p h/mv– Heisenberg: Uncertainty Principle“I donʼt know where any of one of electrons is, but Ican tell you an average where any of one of them islikely to be”– SchrodingerChapter 2 -

Beyond Bohrʼs ModelDeBrogliewavelength:h! letoknowsimultaneouslytheexactposi7onandh!x.!m! "4" itsspeed(largerΔu)andviceversa.Wavemo aConincorporatesboththewave- ‐likeandpar.cle- ‐likebehavioroftheelectron.Wave function, ψ,Ψ2 provides information about an electron’s location when it s in anChapter 2 allowed energy state

QuantumMechanicsandAtomicOrbitalsElectron density: probability of the electronbeing at a pointHigher density of dots region: largervalues of Ψ2Electron- Chapter 2 -

Bohr Model vs. Wave Mechanical Atom ModelWith WM model electron nolonger treated as a particlemoving in a discrete orbital,rather position is described bya probability distributionBohrWMChapter 2 -

QuantumNumbersAccording to quantum mechanics, each electron in an atom is describedby four different quantum numbers, three of which (n, l, ml) specify thewave function that gives the probability of finding the electron at variouspoints in space.n . The principal quantum number (K, L, M, N, O and so on that correspond to 1, 2,3,4, 5 As n increases:- The orbital becomes larger- The electron spends more time farther from the nucleus- The electron has a higher energy and is therefore less tightly bound to the nucleus.l . The second quantum number l can have integral values from 0 to n-1 for each value of n defines the shape of the orbital The value of l of a particular orbital is designated by s, p, d and f, corresponding lvalues of 0, 1, 2 and 3 respectivelys: sharp p:principal d:diffuse f: fundamentalml . The magnetic quantum number Have integral values between l and –l including zero. Describes the orientation of the orbital in spaceChapter 2 -

What is the filling sequence of electrons inorbitals by n, l, m, s is not adequate?AUFBAU PRINCIPLE3 principles:1. Pauli Exclusion Principle:only one electroncan have a given set of four quantum numbers.2. Electrons-have discrete energy states-fill orbitals from lowesten. to highest en.3. Hundʼs ruleChapter 2 -

ElectronConfigura onsHund’s rule states that the lowest energy is attained by maximizing thenumber of electrons with the same electron spin.For example, for a carbon atom to achieve its lowest energy, theChaptertwo 2p237electrons will have the same spin.

Quantum Numberslmlms ½Chapter 2 -

Quantum NumbersElectrons fill quantum levels in order of increasingenergy ( only n and l make significant differencesin energy configurations).1s, 2s, 2p, 3s,3p,4s,3d,4p,5s,4d,5p,6s,4f,5d, .When all electrons are at the lowest possibleenergy levels ground stateExcited states do exist such as in glow dischargesetc Valence electrons occupy the outermost filled shell.Valence electrons are responsible for all bonding !Chapter 2 -

Electronic Structure Electrons have wavelike and particulateproperties.– This means that electrons are in orbitals defined by aprobability.– Each orbital at discrete energy level determined byquantum numbers.Quantum #Designationn principal (energy level-shell)l subsidiary (orbitals)ml magneticK, L, M, N, O (1, 2, 3, etc.)s, p, d, f (0, 1, 2, 3, , n -1)1, 3, 5, 7 (-l to l)ms spin½, -½Chapter 2 - 40

Electron Energy StatesElectrons. have discrete energy states tend to occupy lowest available energy state.4d4pN-shell n 43d4sEnergy3p3sM-shell n 3Adapted from Fig. 2.4,Callister 7e.2p2sL-shell n 21sK-shell n 1Chapter 2 - 41

SURVEY OF ELEMENTS Most elements: Electron configuration not stable.ElementAtomic eon10Sodium11Magnesium12Aluminum13.Electron configuration1s 11s 2(stable)1s 2 2s 11s 2 2s 21s 2 2s 2 2p 11s 2 2s 2 2p 2.Argon.Krypton1s 2 2s 2 2p 6 3s 2 3p 6(stable).1s 2 2s 2 2p 6 3s 2 3p 6 3d 10 4s 2 4p 6 (stable)18.36Adapted from Table 2.2,Callister 7e.1s 2 2s 2 2p 6(stable)1s 2 2s 2 2p 6 3s 11s 2 2s 2 2p 6 3s 21s 2 2s 2 2p 6 3s 2 3p 1. Why? Valence (outer) shell usually not filled completely.Chapter 2 - 42

Assist. Prof. Dr. İlkay KALAYElectronConfigura ons Elements in any given group in the periodic table have thesame type of electron arrangements in their outermostshells. The outer shell electrons those that lie outside the orbitalsoccupied in the next lowest noble gas element are called itsvalence electrons, whereas the electrons in the inner shellsare called the core electrons.Chapter 2 43

Electron Configurations Valence electrons – those in unfilled shells Filled shells more stable Valence electrons are most available forbonding and tend to control the chemicalproperties– example: C (atomic number 6)1s2 2s2 2p2valence electronsChapter 2 - 44

Assist. Prof. Dr. İlkay KALAYElectronConfigura onsandthePeriodicTableChapter 2 45

Atomic Structure Valence electrons determine all of thefollowing Chapter 2 - 46

Electronic Configurationsex: Fe - atomic # 26 1s2 2s2 2p6 3s2 3p6 3d 6 4s24d4pN-shell n 4 valenceelectrons3d4sEnergy3p3sM-shell n 32p2sL-shell n 21sK-shell n 1Chapter 2 - 47

give up 1egive up 2egive up 3e Columns: Similar Valence StructureHaccept 2eaccept 1einert gasesThe Periodic TableHeLi BeOF NeNa MgSCl ArK Ca ScRb SrYCs BaSe Br KrTeIAdapted fromFig. 2.6,Callister 7e.XePo At RnFr RaElectropositive elements:Readily give up electronsto become ions.Electronegative elements:Readily acquire electronsto become - ions.Chapter 2 - 48

Electronegativity- Tells us whether a given bond will be nonpolar covalent,polar covalent or ionic.- The ability of an atom in a molecule to attract electrons toitself.- Ranges from 0.7 to 4.0.Smaller electronegativityLarger electronegativityChapter 2 - 49

REVIEW OF ATOMIC STRUCTURE (FRESHMANCHEMISTRY)ATOMS (PROTONS NEUTRONS) ELECTRONSNUCLEUSBONDING Mass of an atom:– Proton and Neutron: 1.67 x 10-27 kg– Electron: 9.11 x 10-31 kg Charge:– Electrons and protons: ( ) 1.60 x 10-19 C– Neutrons are neutralThe atomic mass (A): total mass of protons total mass of neutronsAtomic weight Atomic mass# of protons are used to identify elements (Z)# of neutron are used to identify isotopes ( e.g. 14C6 and 12C6 )Isotopes are written as follows: AXZ , i.e. 1H1, 2H1, 3H1Chapter 2 -

Atomic bonding in solidsThings are made of atoms—little particles that move around,attracting each other when they are a little distance apart, butrepelling upon being squeezed into one another. In that onesentence . there is an enormous amount of information about theworld.— Richard P. FeynmanChapter 2 -

Why Study Atomic Structure andInteratomic Bonding?Two Allotropes of CARBONGraphite- Relatively soft- Greasy feel to it- Reasonably goodconductor of electricityDiamond- The hardest known material- Poor conductor of electricityThe disparities in properties are attributed to a type ofinteratomic bonding found in graphite that does not exist inChapter 2 diamond

Atomic Bonding in SolidsInteratomic forces that bind the atoms together are importantto understand many properties of materials. Start with two atoms infinitely separatedAt large distances, interactions are negligibleAt small distances, each atom exerts forces on the other.Two types of forces: attractive, FA, and repulsive, FRInteratomic separation, r Attractive component is dueto type of the bonding(minimize energy thruelectronic configuration) Repulsive component is dueto negatively chargedelectron clouds for twoatoms and important only atsmall values of rChapter 2 -

Bonding Forces and EnergiesFN FA FRAt equilibriumFA FR 0EN EA ERChapter 2 - 54

Atomic BondingEssentially atoms either want to give up (transfer) or acquire (share) electronsto complete electron configurations; minimize their energyTransfer of electrons ionic bondSharing of electrons covalentMetallic bond sea of electronsMagnesium iumCopperMETALLIC BONDINGSharing of electronsbetween two atomsBonding of metal atoms toneighbor atomsPotassiumdichromateNickel(II) oxideIONIC BONDINGElectrostatic forcesbetween ionsChapter 2 -

Ionic BondingOccurs between and – ions (anion and cation).Requires electron transfer.Large difference in electronegativity required.Example: NaClNa (metal)unstableNa (cation)stableCl (nonmetal)unstableelectron CoulombicAttraction-Cl (anion)stableChapter 2 - 56

Ionic bond – metal donateselectronsnonmetalacceptselectronsDissimilar electronegativitiesex: MgOMg1s2 2s2 2p6 3s2[Ne] 3s2Mg2 1s2 2s2 2p6[Ne]O1s2 2s2 2p4O2- 1s2 2s2 2p6[Ne]Chapter 2 - 57

IONIC BONDINGOppositely charged ions attract, attractive force is coulombic.Ionic bond is non-directional, ions get attracted to one another in any direction.Bonding energies are high 2 to 5 eV/atom,molecule,ionHard materials, brittle, high melting temperature, electrically and thermally insulatingChapter 2 - 8

Ionic Bonding Energy – minimum energy most stable– Energy balance of attractive and repulsive termsEN EA ER -Ar-BrnRepulsive energy ERInteratomic separation rNet energy ENAdapted from Fig. 2.8(b),Callister 7e.Attractive energy EAChapter 2 - 59

Examples: Ionic Bonding Predominant bonding in CeramicsNaClMgOCaF 2CsClGive up electronsAcquire electronsAdapted from Fig. 2.7, Callister 7e. (Fig. 2.7 is adapted from Linus Pauling, The Nature of the ChemicalBond, 3rd edition, Copyright 1939 and 1940, 3rd edition. Copyright 1960 by Cornell University.Chapter 2 - 60

Covalent Bonding Requires shared electrons Example: CH4C: has 4 valence e-,needs 4 moreCH 4H: has 1 valence e-,needs 1 moreHElectronegativitiesare comparable.HCHshared electronsfrom carbon atomHshared electronsfrom hydrogenatomsAdapted from Fig. 2.10, Callister 7e.Chapter 2 - 61

COVALENT BONDINGDiamond, sp3Covalent bonds are formed by sharing of the valenceelectronsCovalent bonds are very directionalCovalent bond model: an atom can have at most 8-Nʼcovalent bonds, where Nʼ number of valence electronsCovalent bonds can be very strong, eg diamond, SiC, Si, etc,also can be very weak, eg BismuthPolymeric materials do exhibit covalent type bonding.Chapter 2 - 10

EXAMPLES: COVALENT .7Sr1.0Fr0.7Ra0.9 Ba0.9column 8I2.5At2.2Ne-Cl2ArKrXe-Rn-GaAsAdapted from Fig. 2.7, Callister 6e. (Fig. 2.7 isadapted from Linus Pauling, The Nature of the Chemical Bond, 3rd edition, Copyright1939 and 1940, 3rd edition. Copyright 1960 by Cornell University.Molecules with nonmetalsMolecules with metals and nonmetalsElemental solids (RHS of Periodic Table)Compound solids (about column IVA)Chapter 2 - 11

Primary Bonding Ionic-Covalent Mixed Bonding% ionic character #(X A "X B )2 &"%(41"e%( x (100%)%( 'where XA & XB are Pauling electronegativities of thecorresponding elements!Ex: MgOXMg 1.3XO 3.5 (3.5 1.3)2 4% ionic character 1 e x (100%) 70.2% ionic Chapter 2 - 64

METALLIC BONDING Arises from a sea of donated valence electrons(1, 2, or 3 from each atom).Non valence and atomicnuclei form ion cores.Ion cores in the “sea ofelectrons”.Valance electrons belong noone particular atom but driftthroughout the entire metal.“Free electrons” shield ʼlycharged ions from repellingAdapted from Fig. 2.11, Callister 6e.each other Primary bond for metals and their alloysChapter 2 - 12

SECONDARY BONDINGArises from interaction between dipoles Fluctuating dipolesasymmetric electronclouds -secondarybonding -ex: liquid H 2H2H2H HH HsecondarybondingAdapted from Fig. 2.13, Callister 7e. Permanent dipoles-molecule induced-general case:-ex: liquid HCl-ex: polymer -H Clsecondarysecondarybonding secondarybondingH Clbonding-Adapted from Fig. 2.14,Callister 7e.secondary bondingChapter 2 - 66

Summary: BondingCommentsTypeBond EnergyIonicLarge!Nondirectional thDirectional(semiconductors, ceramicspolymer Nondirectional (metals)SecondarysmallestDirectionalinter-chain (polymer)inter-molecularChapter 2 - 67

Bonding EnergiesChapter 2 -

Bonding in SolidsThe physical properties of crystalline solids, such as melting pointand hardness, depend both on the arrangements of particles andon the attractive forces between them.Chapter 2 - 69

Properties From Bonding: Tm Bond length, r Melting Temperature, TmEnergyr Bond energy, EoroEnergyrsmaller Tmunstretched lengthrorEo “bond energy”larger TmTm is larger if Eo is larger.Chapter 2 - 70

PROPERTIES FROM BONDING: E Elastic modulus, EElastic modulusFΔL EAoLo E curvature at roEnergyunstretched lengthrorE is larger if Eo is larger.smaller Elastic Moduluslarger Elastic ModulusChapter 2 - 16

Summary: Primary BondsCeramicsLarge bond energy(Ionic & covalent bonding):Metalslarge Tmlarge Esmall αVariable bond energy(Metallic bonding):PolymersDirectional Properties(Covalent & Secondary):secondarymoderate Tmmoderate Emoderate αbondingSecondary bonding dominatessmall Tmsmall Elarge αChapter 2 - 72

The Atomic Theory of Matter Dalton’s Atomic Theory Postulates 10 2. All atoms of a given element are identical, having the same size, mass and chemical properties. The atoms of different elements are different. Different elements have different atomic properties such as atomic mass.

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