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1 Chapter 7-1 Chemistry 481, Spring 2017, LA Tech Instructor: Dr. Upali Siriwardane e-mail: [email protected] Office: CTH 311 Phone 257-4941 Office Hours: M,W 8:00-9:00 & 11:00-12:00 am; Tu,Th, F 9:30 - 11:30 a.m. April 4 , 2017: Test 1 (Chapters 1, 2, 3, 4) April 27, 2017: Test 2 (Chapters (6 & 7) May 16, 2016: Test 3 (Chapters. 19 & 20) May 17, Make Up: Comprehensive covering all Chapters Chemistry 481(01) Spring 2017 Chapter 7-2 Chemistry 481, Spring 2017, LA Tech Chapter 7. An introduction to coordination compounds The language of coordination chemistry 7.1 Representative ligands 7.2 Nomenclature Constitution and geometry 7.3 Low coordination numbers 7.4 Intermediate coordination numbers 7.53Higher coordination numbers 7.6 Polymetallic complexes Isomerism and chirality 7.7 Square-planar complexes 7.8 Tetrahedral complexes 7.9 Trigonal-bipyrmidal and square-pyramidal complexes 7.10 Octahedral complexes 7.11 Ligand chirality Chapter 7-3 Chemistry 481, Spring 2017, LA Tech Chapter 7. An introduction to coordination compounds Thermodynamics of complex formation 7.12 Formation constants 7.13 Trends in successive formation constants 7.14 Chelate and macrocyclic effects 7.15 Steric effects and electron delocalization Chapter 7-4 Chemistry 481, Spring 2017, LA Tech Coordination compound A compound formed from a Lewis acid and Lewis base . A metal or metal ion acting Lewis acid (being an electron pair acceptor) and a atom or group of atoms with lone electron pairs Lewis base electron pair donor forms an adduct with dative or coordinative covalent bonds. Ni(ClO 4 ) 2 ( aq )+ 6NH 3 → [Ni(NH 3 ) 6 ](ClO 4 ) 2 ( aq ) The Lewis bases attached to the metal ion in such compounds are called ligands. Chapter 7-5 Chemistry 481, Spring 2017, LA Tech The coordination number (CN) CN of a metal ion in a complex is defined as the number of ligand donor atoms to which the metal is directly bonded . [Co(NH 3 ) 5 Cl] 2+ CN is 6, 1 chloride and 5 ammonia ligands each donating an electron pair. For organometallic compounds. An alternative definition of CN would be the number of electron pairs arising from the ligand donor atoms to which the metal is directly bonded . Chapter 7-6 Chemistry 481, Spring 2017, LA Tech 1) What is a coordination compound?

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Page 1: Chapter 7. An introduction to Coordination compoundupali/chem481/slides/chem481-chapter7.pdf · 2017-04-25 · molecules in this substitution reaction that form the hexacyanoferrate(II)

1

Chapter 7-1Chemistry 481, Spring 2017, LA Tech

Instructor: Dr. Upali Siriwardane

e-mail: [email protected]: CTH 311 Phone 257-4941

Office Hours:

M,W 8:00-9:00 & 11:00-12:00 am;

Tu,Th, F 9:30 - 11:30 a.m.

April 4 , 2017: Test 1 (Chapters 1, 2, 3, 4)

April 27, 2017: Test 2 (Chapters (6 & 7)

May 16, 2016: Test 3 (Chapters. 19 & 20)

May 17, Make Up: Comprehensive covering all Chapters

Chemistry 481(01) Spring 2017

Chapter 7-2Chemistry 481, Spring 2017, LA Tech

Chapter 7. An introduction to coordination compounds

The language of coordination chemistry 7.1 Representative ligands

7.2 Nomenclature

Constitution and geometry7.3 Low coordination numbers

7.4 Intermediate coordination numbers

7.53Higher coordination numbers

7.6 Polymetallic complexes

Isomerism and chirality7.7 Square-planar complexes

7.8 Tetrahedral complexes

7.9 Trigonal-bipyrmidal and square-pyramidal complexes

7.10 Octahedral complexes

7.11 Ligand chirality

Chapter 7-3Chemistry 481, Spring 2017, LA Tech

Chapter 7. An introduction to coordination compounds

Thermodynamics of complex formation

7.12 Formation constants

7.13 Trends in successive formation constants

7.14 Chelate and macrocyclic effects

7.15 Steric effects and electron delocalization

Chapter 7-4Chemistry 481, Spring 2017, LA Tech

Coordination compound

A compound formed from a Lewis acid and Lewis base.

A metal or metal ion acting Lewis acid (being an electron pair acceptor) and a atom or group of atoms with lone electron pairs Lewis base electron pair donor forms an adduct with dative or coordinative covalent bonds.

Ni(ClO4)2 (aq)+ 6NH3 → [Ni(NH3)6](ClO4)2 (aq)

The Lewis bases attached to the metal ion in such

compounds are called ligands.

Chapter 7-5Chemistry 481, Spring 2017, LA Tech

The coordination number (CN)

CN of a metal ion in a complex is defined as the

number of ligand donor atoms to which the metal

is directly bonded.

[Co(NH3)5Cl]2+

CN is 6, 1 chloride and 5 ammonia ligands each

donating an electron pair.

For organometallic compounds. An alternative

definition of CN would be the number of electron

pairs arising from the ligand donor atoms to which

the metal is directly bonded.

Chapter 7-6Chemistry 481, Spring 2017, LA Tech

1) What is a coordination compound?

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Chapter 7-7Chemistry 481, Spring 2017, LA Tech Chapter 7-8Chemistry 481, Spring 2017, LA Tech

Coordination sphere

• Coordination sphere - the sphere around the

central ion made up of the ligands directly

attached to it. Primary and secondary coordination

sphere.

Chapter 7-9Chemistry 481, Spring 2017, LA Tech

Preparation of Complexes

• The figure at left shows cyanide ions (in the form of KCN), being added to an aq. solution of FeSO4.

• Since water is a Lewis base, the Fe2+ ions were originally in the complex [Fe(H2O)6]

2+

• The CN- ions are driving out the H2O molecules in this substitution reaction that

form the hexacyanoferrate(II) ion, [Fe(CN)6]4- .

[Fe(H2O)6]2+ + 6 CN- [Fe(CN)6]

4- + 6 H2O

Chapter 7-10Chemistry 481, Spring 2017, LA Tech

Various Colors of d-Metal Complexes

The color of the complex depends

on the identity of the ligands as

well as of the metal..

Impressive changes of color often

accompany substitution reactions.

Chapter 7-11Chemistry 481, Spring 2017, LA Tech Chapter 7-12Chemistry 481, Spring 2017, LA Tech

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Chapter 7-13Chemistry 481, Spring 2017, LA Tech

Structures and symmetries

• Six-coordinate complexes are almost all

octahedral (a).

• Four-coordinate complexes can be tetrahedral (b)

or square planar (c).

• (Square planar usually occurs with d8 electron

configurations, such as in Pt2+ and Au3+.)

Chapter 7-14Chemistry 481, Spring 2017, LA Tech

Representing Octahedral Shapes

• Instead of a perspective drawing (a), we can

represent octahedral complexes by a simplified

drawing that emphasizes the geometry of the

bonds (b).

Chapter 7-15Chemistry 481, Spring 2017, LA Tech

Ligands

The Brønsted bases or Lewis base attached to the

metal ion in such compounds are called ligands.

These may be

Simple ions such as Cl–, CN–

Small molecules such as H2O or NH3,

Larger molecules such as H2NCH2CH2NH2

N(CH2CH2NH2)3

Macromolecules, EDTA and biological molecules

such as proteins.

Chapter 7-16Chemistry 481, Spring 2017, LA Tech

Representative Ligands and Nomenclature

Bidentate Ligands

Polydentate Ligands

• Some ligands can simultaneously occupy more than one binding site.

• Ethylenediamine (above) has a nitrogen lone pair at each end, making it bidentate. It is widely used and abbreviated “en”, as in [Co(en)3]

3+.

Chapter 7-17Chemistry 481, Spring 2017, LA Tech Chapter 7-18Chemistry 481, Spring 2017, LA Tech

Ethylenediaminetetraacetate Ion (EDTA)

• EDTA4- is another example of a chelating agent. It is hexadentate.

• This ligand forms complexes with many metal ions, including Pb2+, and is used to treat lead poisoning.

• Unfortunately, it also removes Ca2+ and Fe2+ along with the lead.

• Chelating agents are common in nature.

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Chapter 7-19Chemistry 481, Spring 2017, LA Tech

Porphyrins and phthalocyanins

Chapter 7-20Chemistry 481, Spring 2017, LA Tech

Chelates• The metal ion in [Co(en)3]

3+ lies

at the center of the three

ligands as though pinched by

three molecular claws. It is an

example of a chelate,

• A complex containing one or

more ligands that form a ring

of atoms that includes the

central metal atom.

Chapter 7-21Chemistry 481, Spring 2017, LA Tech

Naming Transition Metal Complexes

• Cation name first then anion name.

• List first the ligands, then the central atom

• The ligand names are made to end in -O if negative

• Anion part of the complex ends in -ate

Eg. Cu(CN)64- is called the hexacyanocuprate(II) ion

• The ligands are named in alphabetic order

• Number of each kind of ligand by Greek prefix

• The oxidation state of the central metal atom

shown in parenthesis after metal name

• Briding is shown with ( -oxo)

Chapter 7-22Chemistry 481, Spring 2017, LA Tech

Some Common Ligand Names

Chapter 7-23Chemistry 481, Spring 2017, LA Tech

Names of Ligands (continued)

Chapter 7-24Chemistry 481, Spring 2017, LA Tech

Coordination Sphere Nomenclature

• Cationic coordination sphere

• -ium ending

Anionic coordination sphere

• -ate ending

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Chapter 7-25Chemistry 481, Spring 2017, LA Tech

Examples

• [Co(NH3)4Cl2]Cl:

• dichlorotetramminecobalt(III) chloride

• [Pt(NH3)3Cl]2[PtCl4]:

di(monochlorotriammineplatinum(II))

tetrachloroplatinate(II).

• K3[Fe(ox)(ONO)4] :

• potassium tetranitritooxalatoferrate(III)

Chapter 7-26Chemistry 481, Spring 2017, LA Tech

Use bis and tris for di and tri

for chelating ligands• [Co(en)3](NO3)2 :

• tris(ethylenediamine)cobalt(II) nitrate

• [Ir(H2O)2(en)2]Cl3

• bis(ethylenediamine)diaquairidium(III)

chloride

• [Ni(en)3]3[MnO4] :

• Tris(ethylenediamine)nickel(II)

tetraoxomanganate(II)

Chapter 7-27Chemistry 481, Spring 2017, LA Tech

Naming

• [Cu(NH3)4]SO4

tetraaminecopper(II) sulfate

• [Ti(H2O)6][CoCl6]

hexaaquatitanium(III)

hexachlorocobaltate(III)

K3[Fe(CN)6]

• potassium hexacyanoferrate(III)

Chapter 7-28Chemistry 481, Spring 2017, LA Tech

2) Give the formula of following coordination

compounds

a)Dichlorobis(ethylenediammine)nickle

b) Potasium trichloro(ethylene)platinate(1-)

Chapter 7-29Chemistry 481, Spring 2017, LA Tech

c) Tetrakis(pyridine)platinum(2+)

tetrachloroplatinate(2-)

d) Tetraamminebis(ethylenediamine)

--hydroxo- -amidodicobalt(4+) chloride

Chapter 7-30Chemistry 481, Spring 2017, LA Tech

3) Give the names of following coordination

compounds

a) [Co(NH3)6]Cl3;

b) trans-[Cr(NH3)4(NO2)2]+ ;

c) K[Cu(CN)2] ;

d) cis-[PtCl2(NH3)2] ;

e) fac-[Co(NO2)3(NH3)3]Cl3

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Chapter 7-31Chemistry 481, Spring 2017, LA Tech

The Eta(h) System of Nomenclature

• For for p bonded ligands number of

atoms attached to the metal atom is

shown by hn

(h5 -cyclopentadienyl) tricarbonyl manganese

tetracarbonyl (h3-allyl) manganese, Mn(C3H5)(CO)4

Chapter 7-32Chemistry 481, Spring 2017, LA Tech

Isomers

• Both structural and stereoisomers are found.

• The two ions shown below differ only in the

positions of the Cl- ligand, but they are distinct

species, with different physical and chemical

properties.

Chapter 7-33Chemistry 481, Spring 2017, LA Tech

4) What is the geometry and coordination

number of compounds in the problem above?

a) [Co(NH3)6]Cl3;

b) trans-[Cr(NH3)4(NO2)2]+ ;

c) K[Cu(CN)2] ;

d) cis-[PtCl2(NH3)2] ;

e) fac-[Co(NO2)3(NH3)3]Cl3

Chapter 7-34Chemistry 481, Spring 2017, LA Tech

5) Draw the formula and find the BITE of following

ligands.

a) 2,2'-bipyridine (bipy) ;

b) terpy;

c) cyclam;

d) edta;

Chapter 7-35Chemistry 481, Spring 2017, LA Tech Chapter 7-36Chemistry 481, Spring 2017, LA Tech

Ionization Isomers• These differ by the exchange of a ligand with an

anion (or neutral molecule) outside the

coordination sphere. [CoSO4(NH3)5]Br has the Br-

as an accompanying anion (not a ligand) and

[CoBr(NH3)5]SO4 has Br - as a ligand and SO42-as

accompanying anion.

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Chapter 7-37Chemistry 481, Spring 2017, LA Tech

Ionization IsomersThe red-violet solution of

[Co(NH3)5Br]SO4 (left) has

no rxn w/ Ag+ ions, but

forms a ppt. when Ba2+ ions

are added.

The dark red solution of

[CoSO4(NH3)5]Br (right)

forms a ppt. w/ Ag+ ions,

but does not react w/ Ba2+

ions.

Chapter 7-38Chemistry 481, Spring 2017, LA Tech

Hydrate Isomers• These differ by an ex-change

between an H2O molecule and

another ligand in the

coordination sphere.

• The solid, CrCl3. 6H2O, may be

any of three compounds.

• [Cr(H2O)6]Cl3 (violet)

• CrCl(H2O)5]Cl2.H2O (blue-green)

• CrCl2 (H2O)4Cl.2H2O (green)

• Primary and secondary

coordination spheres

Chapter 7-39Chemistry 481, Spring 2017, LA Tech

Linkage Isomers

The triatomic ligand is the isothiocyanato, NCS-

. In (b) it is the thiocyanato, SCN-.

Other ligands capable or forming linkage isomers are

NO2- vs. ONO -

CN - vs. NC - .

(a) NSC-

ligand (the N is closest to the center); (b) SCN- ligand (S is closest the

center)

Chapter 7-40Chemistry 481, Spring 2017, LA Tech

Coordination Isomers

• These occur when one or more ligands are exchanged between a cationic complex and an anionic complex.

• An example is the pair [Cr(NH3)6][Fe(CN)6] and[Fe(NH3)6][Cr(CN)6].

Chapter 7-41Chemistry 481, Spring 2017, LA Tech

Stereoisomers• Ionization, hydrate, linkage, and coordination

isomers are all structural isomers.

• In stereoisomers, the formulas are the same. The atoms have the same partners in the coordination sphere, but the arrangement of the ligands in space differs.

• The cis- and trans- geometric isomers shown in next slide differ only in the way the ligands are arranged in space.

• There can be geometric isomers for octahedral and square planar complexes, but not for tetrahedral complexes.

Chapter 7-42Chemistry 481, Spring 2017, LA Tech

Square Planar Complexes

Geometric Isomers

• Properties of geometric isomers can vary greatly.

• The cis- isomer below is pale orange-yellow, has a

solubility of 0.252 g/100 g water, and is used for

chemotherapy treatment.

• The trans- isomer is dark yellow, has a solu-bility

of 0.037 g/100 g water, and shows no

hemotherapeutic effect.

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Chapter 7-43Chemistry 481, Spring 2017, LA Tech

6) Describe the geometrical isomerism in following

compounds:

a) [Co(NH3)4Cl2]+ ;

b) [IrCl3(PPh3)3] ;

c) [Cr(en)2Cl2] ;

Chapter 7-44Chemistry 481, Spring 2017, LA Tech

cis and trans-PtCl2(NH3)2

Chapter 7-45Chemistry 481, Spring 2017, LA Tech

Trans Effect & Influence

Chapter 7-46Chemistry 481, Spring 2017, LA Tech

Preparation Geometrical Isomers

Chapter 7-47Chemistry 481, Spring 2017, LA Tech

Optical IsomerismThe two complexes at left are mirror

images. (The gray rectangle represents

a mirror, through which we see

somewhat darkly.)

No matter how the complexes are

rotated, neither can be superimposed

on the other.

Note only four of the six ligands are

different.

Chapter 7-48Chemistry 481, Spring 2017, LA Tech

Combined Stereoisomerisms• Both geometrical and optical isomerism can

occur in the same complex, as below. The trans-

isomer is green.

• The two cis- isomers, which are optical isomers of

each other, are violet.

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Chapter 7-49Chemistry 481, Spring 2017, LA Tech Chapter 7-50Chemistry 481, Spring 2017, LA Tech

Identifying Optical IsomerismIf a molecule or ion belong to a point group with a Sn

axis is not optically active

Chapter 7-51Chemistry 481, Spring 2017, LA Tech Chapter 7-52Chemistry 481, Spring 2017, LA Tech

Molecular Polarity and Chirality

Polarity• Polarity:Only molecules belonging to the point

groups Cn, Cnv and Cs are polar. The dipole

moment lies along the symmetry axis

formolecules belonging to the point groups Cn and

Cnv.

• Any of D groups, T, O and I groups will not be

polar

Chapter 7-53Chemistry 481, Spring 2017, LA Tech

ChiralityOnly molecules

lacking a Sn axis

can be chiral.

This includes mirror

planes

and a center of

inversion as

S2=s , S1=I and Dn

groups.

Not Chiral: Dnh,

Dnd,Td and Oh.

Chapter 7-54Chemistry 481, Spring 2017, LA Tech

Optical Activity

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Chapter 7-55Chemistry 481, Spring 2017, LA Tech

Reactions of Metal Complexes

Formation constants

– the chelate effect

– Irving William Series

– Lability

Chapter 7-56Chemistry 481, Spring 2017, LA Tech

7) Pick the chiral compounds among the

following:

a) [Co(en)3]3+ ;

b) cis-[Cr(en)2Cl2] ;

c) c) trans-[Cr(en)2Cl2] ;

Chapter 7-57Chemistry 481, Spring 2017, LA Tech

Formation of Coordination Complexes

typically coordination compounds are more labile or

fluxional than other molecules X is leaving group

and Y is entering group

MX + Y MY + X

One example is the competition of a ligand, L for a

coordination site with a solvent molecule such as

H2O

[Co(OH2)6]2+ + Cl- [Co(OH2)5Cl]+ + H2O

Chapter 7-58Chemistry 481, Spring 2017, LA Tech

Formation Constants

Consider formation as a series of formation

equilibria:

Summarized as:

Chapter 7-59Chemistry 481, Spring 2017, LA Tech

Typically: Kn>Kn+1

Expected statistically, fewer coordination sites

available to form MLn+1

eg sequential formation of Ni(NH3)n(OH2)6-n 2+

Values of Kn

Chapter 7-60Chemistry 481, Spring 2017, LA Tech

Breaking the Rules

Order is reversed when some electronic or chemical

change drives formation

Fe(bipy)2(OH2)22+ + bipy Fe(bipy)3

2+

jump from a high spin to low spin complex

Fe(bipy)2(OH2)2 t2g4eg2 high spin

Fe(bipy)3 t2g6 low spin

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Chapter 7-61Chemistry 481, Spring 2017, LA Tech Chapter 7-62Chemistry 481, Spring 2017, LA Tech

Chapter 7-63Chemistry 481, Spring 2017, LA Tech

Irving William Series

Values of log Kf for 2+ ions including transition

metal species Lewis acidity (acceptance of e-)

increases across the per. table, thus forming more

and more stable complexes for the same ligand

system

Kf series for transition metals:

Mn2+< Fe2+ < Co2+ < Ni2+ < Cu2+ >Zn2+

Chapter 7-64Chemistry 481, Spring 2017, LA Tech

Irving William Series

Chapter 7-65Chemistry 481, Spring 2017, LA Tech

Bonding and electronic structure

Bonding Theories of Transition Metal Complexes

• Valance Bond Theory

• Crystal Field Theory

• Ligand Field Theory or Molecular Orbital Theory

Chapter 7-66Chemistry 481, Spring 2017, LA Tech

Valance Bond Theory

”Outer orbital" (sp3d2) and ”Inner orbital" (d2sp3)

[CoF6]3- - Co3+ : d6

[Co(NH3)6]3+ - Co3+ : d6

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Chapter 7-67Chemistry 481, Spring 2017, LA Tech

Spectrochemical Series for Ligands

• It is possible to arrange representative ligands in

an order of increasing field strength called the

spectrochemical series:

I¯ < Br¯ < -SCN¯ < Cl¯ < F¯ < OH¯ < C2O42¯ < H2O < -

NCS¯ < py < NH3 < en < bipy < o-phen < NO2¯ <

CN¯ < CO

Chapter 7-68Chemistry 481, Spring 2017, LA Tech

8) Use valence bond theory (VBT) to predict the

electron configurations, the type of bonding (Inner

and outer orbital) and number of unpaired electrons

in following compounds:

a) [Co(CN)6]3- ;

b) [CoCl6]3-;

c) [Fe(NH3)6]3+;

Chapter 7-69Chemistry 481, Spring 2017, LA Tech

Crystal Field Theory

• In the electrical fields created by ligands

• The orbitals are split into two groups: a

set consisting of dxy, dxz, and dyz stabilized

by 2/5Do, known by their symmetry

• classification as the t2g set, and a set

consisting of the dx2-y2 and dz2, known as

the eg set, destabilized by 3/5Do where Do

is the gap between the two sets.

Chapter 7-70Chemistry 481, Spring 2017, LA Tech

Crystal Field Splitting of d Orbitals

Chapter 7-71Chemistry 481, Spring 2017, LA Tech

Octahedral Crystal Field Splitting

Chapter 7-72Chemistry 481, Spring 2017, LA Tech

9) What are the symmetry labels of s,p, and d

orbitals in tetrahedral (NiCO)4) and square-planar

([PtCl4]2-) and octahedral (Cr(CO)6) compounds.

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Chapter 7-73Chemistry 481, Spring 2017, LA Tech

10) Explain the effect of ligands on the d orbitals

in octahedral, tetrahedral, trigonal-bipyramid and

square-planar coordination compounds using

Crystal Field Theory.

Octahedral,

Tetrahedral,

Trigonal-bipyramid

Square-planar

Chapter 7-74Chemistry 481, Spring 2017, LA Tech

11) [Ti(H2O)6]3+ shows a absorption at 20300 cm-1.

Absorption values for similar coordination

compounds of Ti3+ with different ligands are given

below. Based on their absorption values arrange

the following ligands in a Spectrochemical Series.

Absorption(cm-1)

Ligand H2O CN- PPh3 F- NH3

20300 20500 20455 20100 20400

Chapter 7-75Chemistry 481, Spring 2017, LA Tech

Crystal Field Stabilization Energy

• Crystal Field stabilization parameter Do

Chapter 7-76Chemistry 481, Spring 2017, LA Tech

Crystal Field Stabilization Energy

d7 case.

Weak field case

The configurations would be written t2g5 eg

2

5(-2/5Do) + 2(+3/5Do) = -4/5Do

Strong field case

The configurations would be written t2g6 eg

1

6(-2/5Do) + 1(+3/5Do) = -9/5Do

Chapter 7-77Chemistry 481, Spring 2017, LA Tech

CFSE & Paring Energy

[Fe(H2O)6]2+. Iron has a d6 configuration, the value of

Do is 10,400 cm-1 and the pairing energy is 17600cm-

1. (1 kJ mol-1 = 349.76 cm-1.) We must compare the

total of the CFSE and the pairing energy for the two

possible configurations.

Chapter 7-78Chemistry 481, Spring 2017, LA Tech

high spin (more stable)

CFSE = 4 x -2/5 x 10400 + 2 x 3/5 x 10400 = -4160cm-1

(-11.89 kJ mol-1)

Pairing energy (1 pair) = 1 x 17600 = 17600 cm-1

(50.32 kJ mol-1

Total = +13440 cm-1 (38.43 kJ mol-1)

low spin

CFSE = 6 x -2/5 x 10400= -24960 cm-1 (-71.36 kJ mol-

1)

Pairing energy (3 pairs) = 3 x 17600 = 52800 (151.0 kJ

mol-1)

Total = +27840 cm-1 (79.60 kJ mole-1)

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Chapter 7-79Chemistry 481, Spring 2017, LA Tech

Tetrahedral complexes

• Splitting order or reversed. eg is now lower energy

and t2g is hgher energy

• Because a tetrahedral complex has fewer ligands,

the magnitude of the splitting is smaller. The

difference between the energies of the t2g and eg

orbitals in a tetrahedral complex (t) is slightly less

than half as large as the splitting in analogous

octahedral complexes (o)

• Dt = 4/9Do

Chapter 7-80Chemistry 481, Spring 2017, LA Tech

Tetrahedral Ligand Arrangement

Dt = 4/9Do

Mostly forms high spin complxes

Chapter 7-81Chemistry 481, Spring 2017, LA Tech

Octahedral Crystal Field Splitting

Chapter 7-82Chemistry 481, Spring 2017, LA Tech

Square-planar Complexes-D4h

Chapter 7-83Chemistry 481, Spring 2017, LA Tech

Generalizations about Crystal Field

Splittings

• The actual value of D depends on both the metal

ion and the nature of the ligands:

• The splitting increases with the metal ion

oxidation state. For example, it roughtly doubles

going from II to III.

• The splitting increases by 30 - 50% per period

down a group.

• Tetrahedral splitting would be 4/9 of the

octahedral value if the ligands and metal ion were

the same.

Chapter 7-84Chemistry 481, Spring 2017, LA Tech

Spectrochemical Series for Ligands

• It is possible to arrange representative ligands in

an order of increasing field strength called the

spectrochemical series:

I¯ < Br¯ < -SCN¯ < Cl¯ < F¯ < OH¯ < C2O42¯ < H2O < -

NCS¯ < py < NH3 < en < bipy < o-phen < NO2¯ <

CN¯ < CO

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Chapter 7-85Chemistry 481, Spring 2017, LA Tech

Spectrochemical Series for Metals

It is possible to arrange the metals according to a

spectrochemical series as well. The approximate

order is

Mn2+ < Ni2+ < Co2+ < Fe 2+ < V2+ < Fe3+ < Co3+ < Mn3+

< Mo3 + < Rh3 + < Ru3 + < Pd4+ < Ir3+ < Pt 3+

Chapter 7-86Chemistry 481, Spring 2017, LA Tech

Spectrum of [Ti(H2O)6]3+.

d1

: t2g1

eg0–> t2g

0eg

1

Chapter 7-87Chemistry 481, Spring 2017, LA Tech

Hydration Enthalpy.

• M2+(g) + 6 H2O(l) = [M(O2H)6]2+(aq)

Chapter 7-88Chemistry 481, Spring 2017, LA Tech

Irving-Williams Series

Chapter 7-89Chemistry 481, Spring 2017, LA Tech

Ligand Field Splitting and Metals

the transition metal also impacts Do increases

with increasing oxidation number

Do increases as you move down a group (i.e.

with increasing principal quantum number n)

Chapter 7-90Chemistry 481, Spring 2017, LA Tech

MO forML6 diagram Molecules

D0

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16

Chapter 7-91Chemistry 481, Spring 2017, LA Tech

Ligand Field Stabilization Energies

LFSE is a function

of Do

weighted average

of the splitting

due to the

fact that they are

split into groups

of 3 (t2g)

and 2 (eg)

Chapter 7-92Chemistry 481, Spring 2017, LA Tech

Weak Field vs. Strong Fieldnow that d orbitals are not degenerate how do we

know what an electronic ground state for a d metal

complex is? need to determine the relative

energies of pairing vs. Do

Chapter 7-93Chemistry 481, Spring 2017, LA Tech

Splitting vs. Pairing

when you have more than 3 but fewer than 8 d

electrons you need to think about the relative merits

pairing vs. Do

• high-spin complex – one with maximum number of

unpaired electrons

• low-spin complex – one with fewer unpaired

electronsChapter 7-94Chemistry 481, Spring 2017, LA Tech

Rules of Thumb for Splitting vs Pairing

• depends on both the metal and the ligands

• high-spin complexes occur when o is small Do is

small when:

• n is small (3 rather than 4 or 5)– high spin only

really for 3d metals

• oxidation state is low– i.e. for oxidation state of

zero or 2+

• ligands is low in spectrochemical series– eg

halogens

Chapter 7-95Chemistry 481, Spring 2017, LA Tech

Four Coordinate Complexes:

Tetrahedral

Same approach but different set of orbitals with

different ligand field

• Arrangement of tetrahedral field of point charges

results in splitting of energy where dxy, dzx, dyz are

repelled more by Td field of negative charges

• So the still have a split of the d orbitals into triply

degenerate (t2) and double degenerate (e) pair but

now e is lower energy and t2 is higher.

Chapter 7-96Chemistry 481, Spring 2017, LA Tech

Tetrahedral Crystal Field Splitting

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17

Chapter 7-97Chemistry 481, Spring 2017, LA Tech

Ligand Field Splitting: Dt

describes the separation between

reviouslydegenerate d orbitals

• Same idea as Do but Dt < 0.5 Do for comparable

systems

• So …Almost Exclusively Weak Field

Chapter 7-98Chemistry 481, Spring 2017, LA Tech

Electron configurations in octahedral fields

Weak field and strong fieled cases

Chapter 7-99Chemistry 481, Spring 2017, LA Tech

Tetragonal Complexes

Start with octahedral geometry and follow the

energy as you tetragonally distort the octahedron

Tetragonal distortion: extension along z and

compression on x and y

Orbitals with xy components increase in

energy, z components decrease in energy

Results in further breakdown of degeneracy

– t2g set of orbitals into dyz, dxz and dxy

– eg set of orbitals into dz2 and dx2-y2

Chapter 7-100Chemistry 481, Spring 2017, LA Tech

Tetragonal Complexes

Chapter 7-101Chemistry 481, Spring 2017, LA Tech

Square Planar Complexes• extreme form of tetragonal distortion

• Ligand repulsion is completely removed from

• z axis

Common for

4d8

and

5d8

complexes:

Rh(I), Ir(I)

Pt(II), Pd(II)

Chapter 7-102Chemistry 481, Spring 2017, LA Tech

Jahn Teller Distortion

geometric distortion may occur in systems

based on their electronic degeneracy

This is called the Jahn Teller Effect:

If the ground electronic configuration of a

nonlinear complex is orbitally degenerate, the

complex will distort to remove the degeneracy

and lower its energy.

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18

Chapter 7-103Chemistry 481, Spring 2017, LA Tech

Jahn Teller Distortions

Orbital degeneracy: for octahedral geometry

these are:

– t2g3eg

1 eg. Cr(II), Mn(III) High spin complexes

– t2g6eg

1 eg. Co(II), Ni(II)

– t2g6eg

3 eg. Cu(II)

basically, when the electron has a choice between

one of the two degenerate eg orbitals, the

geometry will distort to lower the energy of the

orbital that is occupied.

Result is some form of tetragonal distortion

Chapter 7-104Chemistry 481, Spring 2017, LA Tech

Ligand Field Theory

Crystal field theory: simple ionic model, does not

accurately describe why the orbitals are raised or

lowered in energy upon covalent bonding.

• LFT uses Molecular Orbital Theory to derive the

ordering of orbitals within metal complexes

• Same as previous use of MO theory, build ligand

group orbitals, combine them with metal atomic

orbitals of matching symmetry to form MO’s

Chapter 7-105Chemistry 481, Spring 2017, LA Tech

LFT for Octahedral Complexes

Consider metal orbitals and ligand group orbitals

Under Oh symmetry, metal atomic orbitals transform

as:

Degeneracy Mulliken Label Atomic

Orbital

2 eg dx2-y2, dz2

3 t2g dxy, dyz, dzx

3 t1u px, py, pz

1 a1g s

Chapter 7-106Chemistry 481, Spring 2017, LA Tech

Sigma Bonding: Ligand Group

Orbitals

Chapter 7-107Chemistry 481, Spring 2017, LA Tech

Combinationsof Metal andLigand SALC’s

Chapter 7-108Chemistry 481, Spring 2017, LA Tech

Molecular Orbital Energy Level Diagram: Oh

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19

Chapter 7-109Chemistry 481, Spring 2017, LA Tech

PI Bonding

pi interactions alter the

MOELD that results from

sigma bonding

• interactions occur between

frontier metal orbitals and the

pi orbitals of L

• two types depends on the ligand

–pi acid - back bonding accepts e- density from M

–pi base -additional e- density donation to the M

• type of bonding depends on relative energy level

of pi orbitals on the ligand and the metal orbitals

Chapter 7-110Chemistry 481, Spring 2017, LA Tech

: PI Bases and the MOELD Oh

pi base ligands

contribute more

electron density to

the metal

• t2g is split to form a

bonding and

antibonding pair of

orbitals

Do is decreased

• halogens are good

pi donors

Chapter 7-111Chemistry 481, Spring 2017, LA Tech

PI Acids and the MOELD: Oh• pi acids accept electron

density back from the

metal

• t2g is split to form a

bonding and antibonding

pair of orbitals

• the occupied bonding

set of orbitals goes

down in energy so ..

• Do increases

• typical for phosphine

and carbonyl ligands

Chapter 7-112Chemistry 481, Spring 2017, LA Tech

Magnetic Properties of Atoms

• a) Diamagnetism?

• Repelled by a magnetic field due to paired electrons.

b)Paramagnetism?• attracted to magnetic field due to un-paired electrons.

c) Ferromagnetism? • attracted very strongly to magnetic field due to un-paired

electrons.

• d)Anti-ferromagnetic?• Complete cancelling of unpaired electrons in magnetic

domains

Chapter 7-113Chemistry 481, Spring 2017, LA Tech

Magnetic Suceptibility Vs Temperature

Chapter 7-114Chemistry 481, Spring 2017, LA Tech

Types of magnetism

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20

Chapter 7-115Chemistry 481, Spring 2017, LA Tech

Magnetic Properties

A paramagnetic substance is characterised

experimentally by its (molar) magnetic

susceptibility, cm. This is measured by

suspending a sample of the compound under a

sensitive balance between the poles of a powerful

electro-magnet,

Chapter 7-116Chemistry 481, Spring 2017, LA Tech

Number of Unparied ElectronsThe magnetic moment of the substance is given by

the Curie Law:

= 2.54(cmT)½ (in units of Bohr magnetons)

The formula used to calculate the spin-only

magnetic moment can be written in two forms

= n(n+2) B.M.

Chapter 7-117Chemistry 481, Spring 2017, LA Tech

Magnetic Properties of Atoms

• Paramagnetism?

• Ferromagnetism?

• Diamagnetism?

• Gouvy Balance

Chapter 7-118Chemistry 481, Spring 2017, LA Tech

Octahedral Complexes

Chapter 7-119Chemistry 481, Spring 2017, LA Tech

Tetrahedral Complexes