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Tuesday, 6 November 2018

Lanthanides

Inner transition elements or d-block elements The elements from Ce to Lu and from Th to Lr are called inner transition elements have been shown at a separate pkace at the bottom of the periodic table. The first series of 14 elements lies between La and Hf ib 6th period while the other series of 14 elements lies between Ac and Ku in 7th period . Both the sreies are present in IIIB (3) group. The element of 1st series are called lanthanides or lanthanones while those of second series are called actindes or actinones. The name lanthanide and actinides has been given since these element follow La and Ac respectively with which these elements show close similarties . Chemistry ofLanthanides

F block elements

Lanthanides series

elements are also called fblock elements. Thus the last electron enters (n 2) f  subshell in inner-transition elements.

Valence shell electronic conjiguration of the atoms of f block elements can be represented as (n2)]"‘“ (n1)d"‘2 us 2which shows that in  these elements the intermost three shells are partially-filled while the remaining inner shells are E ' partially filled.

.Classification of f-Block Elements '1Inner transition elements (f-block elements) have been classified into the following two series.

(i) Lanthanide series (CeEB to Lu ). The 14 elements from Ce t0 Lu are the  members 0f this series, i. e 14 elements7 from Ce“ to L 1.,1 are called lanthanides. or  elements are called lanthanides, since these elements are placed after

lanthamum (Lam) 1n group 3 and period 6 of the periodic table (See Fig. 9.1) and how close similarities with La“.

Since lanthanides are present Ln 6th period (n: 6) of the periodic table, these elements have six shells 1n their electronic configurationthe last electron in these elements enters (6-2) f or 4f subshell Thus lanthanides are als'o called 4f ?%lock elements, 1. e. lanthanides are a series of 14 elements (Ce5 ate Lu“) m which the last electron goes to 4f subshell or to f sub shell of 4th shell. ‘

It has been observed that all the 15 elements from La to Lu71 have similar properties. Hence the study of lanthanides consists of the study all the 15 elements om La to Lu together. La57 is the prototype of lanthanides.

Lanthanides are also called lanthanones or rare earths. The name are earth

Elements given to them because they were originally extracted from oxides for which  “ancient name was earth and which were considered to rare. The term rare earth was  avoided now because manv of these elements are no longer  rare but are abudant nn  ---




Position of lanthanides
Production of Lanthanide Metals
position of Lanthanides in the Periodic Table

All the fifteen lanthanides atomic numbers have atomic weights between those of barium( atomic number Z= 56 and hafnium Z= 72 ) and, therefore, must be placed between these two elements as was also proved by Moseley.

Production of Lanthanides Metals

 The following methods may used for this purpose: »

1. Electrolysis of fused chlorides. This method is similar to that used  the metallurgy of Ca by the electrolysis of CaCl2.

2. Reduction of anhydrous chlorides with Na. Lighter lanthanides such a.‘ La, Ce and Gd can easily be prepared by the reduction of their anhydrous chloride With Na at 100°C.
 LaCla + 3Na i‘E-a La + 3NaCl f}

3. Reduction of anhydrous iiuorides and chlorides with Mg or C5;
Hence  lanthanides such as Lu are prepared when their anhydrous fluorides  chlorides are reduced by Ca or Mg metals at a temperature above 1000°C, sing: the fluorides are less volatile than the chlorides and consequently the loss cause by evaporation in case of fluorides 18 small. * -.

Properties of Lanthanides

1.Electronic Configurations

Electronic configurations of lanthanum (La) and fourteen Ianthanides (Ceto Lu) are given in Table 9.1. Valence shell electronic configurations (V. S. E C. )these elements are also given in the same Table. 33

After the completion of 6S orbital at Ba [Ba = [Xe} in La according to Aufbau principle must enter  according to Aufbuu principle, must 4f orbitals to give  configuration to La but in La , the energy“ 5d orbitals IS lower than that 4f orbitals as shown 1n Fig 9. 3. Consequently  5th electron 1n La enters 5d orbitals instead of 4f orbitals. Thus the electronic configuration of La Xe 4f 5d 6s is 1X91“ 4f"5d‘632 and not [Xe],N f" 1°65 as predicted by  aufbau principle



Excepting Gd“ and Lu, other lanthanides have empty 5d orbitals (5d° configuration). Electronic configurtion of Eu 1s [Xe] 4f75d°65and that of Gd [Xe154f’ 5d‘ 6532 Both these configurations are stable due to the presence of stable halftilled 4f orbitals (4f’ configuration) in them. Electronic configuration of wa  41‘“ 5d° Gs2 and that of Lu711s [Xe]5 4f“ 5d‘ Gs2. Both these configurations are
stable due tobthe presence of stable of these elements can be written as: ‘
)
the experimental fact that Sm ion  has a tendency to get reducedd to Ce  ion in aqueous solution.

28m" + 2H20 ---» 28m" + 0n + "2 (RA) (H +1) (H I 0) Ce"+ Fem ~-> Ce" + F0" ‘ Prue ,

Thus sm" is a good RA and Ce is a good OA In aqueous solution. Pr‘ ‘and Tb" are ex on more powerful oxithsing agents

3. Atomic and Ionic Radii: Lanthnnide Contraction

Atomic radIi of Ln atoms and ionic radii of Ln" are given below In Table 9. It may be seen that as we move along lanthanide series. there is a stead decrease In the value of radii.
The steady decrease in atomic and ionic radii of lanthanide elements with increasing atomic number is called lanthanum  contraction. ,

Cause of Lanthanide Cohtraction ~

'1

‘We know that as we proceed from one element to the next one in lanthanide  series, the nuclear charge (Le., atemic number) increases by +1 at each element . Thus as we move from Ce to Lu, the attraction between the nucleus aIl in  the outermost shell electron Increases gradually at each step. It Is also known th 7 as we move from Ce to Lu, the addition of extra electron takes place to 4f orbitals

Since 4 orbitals have ve diffused shape. the electrons In these orbitals are” not to shield (decrease) attraction between the nucleus and the  outerMost shell in the 4 ‘ outermost 3 el as 1e atomIc number of lanthanides only du to the Increase. In tITYIuclcnrcharge I..e, mcmasemte attraction between nucleus and the outer-most shell electrons) that the size of the lanthanide atoms’ and M" Ions decreases gradually with atomic number The above discussion shows * He: that it is due to the poor shielding effect of 4felectrons and gradual Increase in  nuclear charge that the lanthanide contraction takes place among lanthanides.

Consequences of Lanthanide Contraction

Lanthanide contraction plays an important role In determining the chemistry  end heavier transition series elements. Some important oonsequen 0 La on are discussed below:(V nic radii of the two  in pairs an  the same. The above discussion shows that its due to the poor shielding effect of 4f electron and gradual increase in the nuclear charge that the lanthanide contraction takes place among lanthanides.

.x

2nd and 3rd transition series are given in Table 9 4. This table shows that the atomic radius of La (element of 3rd transition series) 15 greater than that of Y On thebasis of trend  the atomic  radii of the two elements present in  each of the pairs viz ZrHf NbTa, M0 W

Ku should be in the order Hf> Zr Ta > Nb W > Mo etc, but the atomic radii of the element is due to the lanthanide contraction seen in lanthanides which lies between La and Hf. Thus we can say that due to lanthanide cnntraclmn the atomic radius 0f 3rd transition series following La is nearly the same ac that of the 11 responding element lying in the same group

Lanthanide contraction

(ii) Similarity in properties of the two elements in the pairs viz Zr-Hf, .-Ta, Mo-W etc,

We have said above that, due to lanthanide contraction, the atomic size of the two elements present in the pairs mz Zr-H.f, NbTa Mo'W etc.are almost the same. Due to similarity in their atomic size, the properties of the f1 elements in each of the above pairs are very sunilar.

(iii) Difficulty in the separation of lanthanides. We know that the

1 properties of metal ion is determined by their size and charge. Now since, on proceeding Erom Ce to Lu the change. In the size of Ln ion  is very small and these ions have the same charge (= +3) chemical properties of lanthanides are
most identical. Due to identical properties. the separation of lanthanides from one another' in the pure state is ditiicult.

(iv) Comparison between the densities of the elements of 2nd and  transition series.

The densities of d-block elements are given in Table 9 5. it may be seen from the table that the densities of elements belonging to the same sub-group icreases on moving down the sub-group .The densities of the d block elements transition series are only slightly higher than those of the corresponding elements of lst transition series while these values for the transition elements from Hf to Hg“ (elements of 3rd transitmn series) are almost double these values T0  the elements from Zr 0 to Cd“ respectively (elements of 2nd transition series ) 1 Note that the density of La (= 6.“17)' 15 not double that of the value for Y (= 4. 47).

The variation of densities oftransition series element' 1.11 the given subgrous as discussed above, can be explained as follows on the basis of lanthanide contraction.

because of lanthanide contraction occurring in lanthanides, the atomic sizes Elements (f ,d transition series coming after La. Consequently the packing off, the atoms in their metallic crystals become so much compact that their densities become very high.
(v) Basic character of hydroxides, M(OH)3 decreases from La(OH) t‘ 'Lu(OH).

Due to lanthanide contraction, the size of +3 lanthanide 1on3 (M3 ions ) decreases regularly with increase in atomic number. As a result of this decrease in  size the covalent character between M3‘ ion and OH‘ mus increases from La(0H). (Fajan ’3 rules). Therefore, the basic character of the hydroxides decrease a with increase in atomic number. Consequently, La(OH.)3 is most basic while Lu(0 IE: _ is the least basic. i: '

hydroxides of lanthanides are stronger bases than Al(OH) but weaker th.

‘ Ca(OH) 1' L . 4. Colour of Tripositive Lanthanide Ions (M Ions)  Most of the trivalent cations of lanthanide elements are coloured in the 501i as well as in aqueous solution while only a few 1on 5 are colourless. (See Fig. 9 4) . f It may be seen from Fig. 9. 4 that the colour depends on the number of electron present' 1n 4f orbitals The elements  having n electrons' in 4f orh1tals has the same colou Tr as the which has (14n) electrons 1n 4f orbitals For example La (4P) which has no electron in its 4f orbitals (n: 0) 1s colourless and Lu3* ion (4)“) which has (140): 14 electrons 1n 4f orb1tals 18 also colourless.Similar1y P1“ 1011 (4F) Which has two electrons' 1n its 4f orbitals (n: 2) and Tm“ 10!] MI“) which has (142): .5; 12 electrons 1n its 4f orbitals have the same colour (green). (See Fig. 9. 3).
Origin of colour.
Colour of lanthanide tripositive ions is due to f f transitin .The absorption bands in the visible region of electronic spectra of the 1ons in their compounds arise due to the absorption of light in the visible range. This results in the transition of the electrons of the ions from the lower energy 4f-orbitals to their  higher energy 4f-orbitals. Thus lanthanide ions have colour which is complement  to the colour of the absorbed light. This type of electronic transition, which takes  place due to absorption of light, is called f-f transition. Evidently absorption bands  seen in the electronic spectra arise due to electronic transition within 4f orbitals ‘3’} f-f transitions of lanthanides are more forbidden than dd transition of  metal ion because 4f electrons of lanthanide ions are much less affected}; a liganad elecrons than the electrons in d-orbitals of transition metal ions groups the selection rules are more strictly followed for transitionin the compounds of lanthanides than in the compounds or f transition metals.
5. Magnetic Properties of Tripositive Lanthanide
M ions)
We known that in Lais empty and that Lu ion is completely filled (4 coniiguration). Thus since all the eléctrons present p 4f orbitals 1n Lu are paired, La shows diamagnetic character. Due the absence of any electron in 4f orbitals of La. This  is also diamagnet. The remaining M are paramagnetic, since 4f orbitals in the remaining ions are partly filled.

To Calculate the value of amu for M" ions.
In-M3" ions, since 4f orbitals are Well shielded from the surroundings by the overlapping 5s and 5p orbitals electric field of ligands surrounding M3+ ions does not restrict (destroy 01' quench  the orbital motion of electrons present in partly filled 4f orbitals of M3+ ions. Thus  M ions, in addition to spin motion, orbital motion of electrons also contribu to the value of pm of M? ions, 1'. e. both types of motion of electrons contribute to 1 Value of pm of M3" 10118. 4felectrons are free to undergo L and S coupling to g? overall (tota1)angular momentum quantum number, which decides the value of for W 10118. um fer Ma? ions is thus represented as which amu given by

It may be seen from Table 9. 6 that the calculated values of amu of some M3 are in good agreement With the experimental values.

In Fig. 9. 5 experimental value of magnetic moments (in BM) of M3  are plotted against the number of unpaired electrons (n) m 4]" orbitals. From figure it may be seen that Laa+ ion (4f°) IS diamagnetic (p: 0), since it has electron  4f orbitals. Pm value increases upto Nd3+ ion and then decrease. It starts rising again and becomes maximum at about

10.5 BM for Dy“. It again starts decreasing and becomes zero (diamagnetic) at ion due to 4 1‘ configuration

The type of paramagnetism which is found in M3” ions is that in which the energy difference (AE) between the lowest energy J level of the metal ion. and the adjascent excited state is larger than thermal energy (kT) at room temperature . Thus since the excited states are much above the ground state, it is only the lowest energy state which is occupied by metal ions. Other states are not occupied by metals ions. Note that  a magnetic field of strength H, each J level is split into 2J +'f‘ states in which each levels separated from its neighbours by BH. In case of su, metal ions the value of u frist given by equation (12).

Equation (1') IS not applicable for Sm3+ and Eu3’“ ions, since the lowest  state (ground state) 1s close to the  j excited state and hence the energy separation (AE)= kT. In such cases, calculated by taking J of the ground state only will not give the correct value oftenE for Sm3+ and Eu8+ lons.
The value of Per calculated from equation (i) for Sm3+ and Eu“ ions are; 0.86 BM and 0.0 BM F respectively (See Table 9. 6). In the calculation of these values W .1 l: have used J: 5/2 fors Sm3” and J: -0 for Eu3+ Total values of J for these ions are as.

Experimental values of amu for Sm" and Eu” ions are 16 BM and 3. 60 BM :respectively. These values show that Physical Properties
All the lanthanides are soft, malleable and ductile, and have low tensile.They are not good conductors of heat and electricity In general the atomic numbers  and densities of these elements increase with the increases in atomic number. : Lanthanides have high melting and boiling points. However, they donot exhibit 3 regular trend with rise in atomic number. Lanthanides have low ionization
energy which compare well with those of the alkaline earth metals particularly Calcium

properties Dependent on Standard Oxidation Potential Values
The standard oxidation potentials (E values) of lanthanides (M) for the oxidation half-reaction,

M(s)‘ -> M3' (aq) + 3e

are given below.

' ' 1‘ ---------EZ, values involts decrease --------> .

15-12“:La-252 Ce'=2.48, Pr=2.46, Nd: 2.43, Pm: 2.42 Sm: 2.41,Eu= 2.40,

I

5i." .3" =2.39 Tb: 2.39, Dy: 2.,35 H0: 232, Er: 230, Tm: 2.28 Yb: 2.2:7Lu 2.25

g‘ These E“ values explain the following properties of lanthanides:

E: (1') Reducing property.
Since lanthanides have positive E" values these elements (M) have a strong tendency to lose their three electrons  hence act as strong reducing agents. Due to the decrease of E" values from La If Lu, the reducing power of lenthanides also decreases from La to Lu.

h(11') Electropositive character.
Since E" values are high, lanthanides can readily lose their electrons and hence show strong electropositive (or metallic) character With the decrease of E" values from La to Lu, the electropositive

. Solubility of Compounds of Lanthanides

_ The nitrates, chlorides, sulphates, perchlorates and salts of oxy acids of lanthanides are soluble but the oxalates, carbonates and fluorides are insoluble 1n

é ,Water. Note that the sulphates of the elements of group 2 are insoluble in water.

Fnrmation of Double Salts
Lanthanides form a number of double salts.1mportant double salts formed by given  below (M 15 the lanthanide element) (1) Cdrbonates, e..g K2

nitrates, e.g. 31 Mg(NO )2. 2M(N0). 24H,O (111) Sulphates, gr Ni1SO Mi so”) 8 water.
10. Chemical Reactivity

Lanthunides differ from one number only in the number of 4f electrons. Since those elements (are very effectively shielded from Interaction with other elements by the overlying 5S, 5p and 6:5 Neutrons they show very little difference in tthe chemical reactivity. Some of the chemical properties of lanthunides are given below
(ii Lauthanides are highly reactive, silverywhite metals. These meta1s ta . Tu readily on exposure to air In the finely divided state, these metals burn in form sesquioxide (MO ). Ce forms CeO. Ytterbium (Yb) resists the action of even at 1000 due to the formation of a protective coating of its oxide.
(ii) Lanthanides combine with H on heating. The hydrides formed are of MH2 and MH3 type. These hydrides are stable.

(iii) Lanthanides react with non metals like S, X2, P N2, C and Si to form  corresponding compounds .

(1v) Lanthanides decompose H2O to evolve H2. Evolution of H2 takes Place slowly in cold and rapidly on heating.

Formation of Complexes

Although tripositive lanthanide cations have a high charge equal to +3 on them, yet their size is so large that their chargeto-radius ratio becomes so sm that these 1on 5 have very poor tendency to form complexes Common ligands which M3 was form stable complexes are: (1') chelating oxygen containing liga like EDTA citric acid, oxalic acid. acetylacetone, (ii) nitrogen containing liga like ethylenediamine, NCS, etc.

Bonding between M3+ mas and the coordinating ligands mainly depends the electronegativity of the bonding atom of the ligands The following order of bond formation of mouodentate ligands has been observed: F< OH‘ < HZO < [9 < C1 etc.

Complex formation in aqueous solution is possible only With those ligating which bind to metal through O-atoms. For example carboxylate anions (RCOO )

13-diketones are such type of ligands. Due to the resonating structures, the chel 21.: ring is stabilised to such extent that it cannot be replaced by OH‘ or 1-120 But fcomplexes m which the ligands are bonded to the metal through N and S dissocia in aqueous solution. Hence such complexes are prepared 1n non-aqueous solutimii ’ ‘~ 1

Generally coordination number (C. N. ) of lanthanide mus in their complexgé ranges from 6 to 9. Maximum C. N of lanthanide ions in complexes formed v. monodentate ligands like F', H201 Cl etc. is 9 Bidentate hgands form complex in which C N. of lanthanide Ions is generallyS, 7 and 8. :3»? Complexes formed by lanthanides 111 +4, +3 and +2 oxidation states 3  discussed below.

(i) Complexes of lanthanides in +4 oxidation state.
Ce is the  lanthanide which forms complexes in  +4 oxidation state. Pr Nd and Dy form some flouro complexes like Na ”[PrF], Cs HINdF ] and C53 [Dy F 71. Carrie ammonia!” i 1' nitrate 0le(NH)621 and cerric ammonium sulphate,7,(NH1{Ce (SO )1 5f inportant compiexes of Ce. These compounds are soluble in water. Iodates, beta di kitone so form stable complexes having Ce m +4 oxidation state Ce“ £15“ ‘ form: complex ions like [CeF 8]“ [CeF 6:12[CeCl 612etc.

1:. (ii) Complexes of lanthanides in +3 oxidation state. Since +3 is the most   oxidation state of lanthanides, lanthanides form the maximum number of  complexes having lanthanides in +3 oxidatidn state. All the lanthanides form a complex cation, [M(H20)"]3+ where n is generally 8 or 9.

M3+ ions form complex ions with various organic and inorganic anions as like state, citrate tartrate, nitrate and sulphate In all these complexes C. N. of M3“ -. is quite high. For example C N. of C9 ion  in [Ge (NO 3);?" and [Ge(NO ) 613" Is  Fa "d 6 respectively. Diketonate anion (RCOCHCOR) reacts With M3*1ons to form {M (L3 diketo13‘) l [M (Bdiketonato)a L] (L: H2 0, pyridine etc )and M (Bdiketonato). These
complexes are more stable than all other types of M3*-complexes.. [EDTA anions

:3 1') forms complex anions of [M(EDTA). 3H 2'0] type with all M ions.
Although nitrogen containing monodentate ligands do not form stable complex with M1“ ions, bidentate ligands having two donor N-atoms form stable chelates.

For example, ethylene diamine (en) forms complex cation, [M( en )13‘ With ions in polar organic solvents

' (iii) Complexes of lanthanides' m +2 oxidation state Complexes having thamdes 111 +2 oxidation state are rare.

Compounds of Lanthanides in +2 Oxidation State

5 Compounds of Sm”, Eu2+ and Yb“ have been characterised. Compounds of “ese ions are obtained by (i) the reduction of fused trihalides or oxides with the esponding metal (ii) electrolytic reduction of Eu” and Yb” in aqueous solution ‘ ) by thermal decomposition of anhydrous trihalides (2M}(: --> 2MX:+ X2) Of the valent compounds of lanthamdes those ofEu2" are the most stable All c‘ompounds M2+ IODS decompose in H O with evolution of H2.

2M2+ eee+ 2H 0 ~~~> 2M3“ + 220B“ + H2

Compounds of Sm” Eu and Yb” lODS exist in solution. These ions are oxidised M“ ions in aqueous solution

SmWaq) ---> Sm3*(aq) +e‘, E3, 2 1.55V
1 Eu2*(aq) ~-) Eu3*(aq) + e’, ng = 0.43 V 0.
Yb” (aq) --> Yb3+ (aq) +e*. E3, = 1.15 V

E values given above show that reducing strength of M  ions in the order:
               Sm◀Yb◀Eu

Dalides
These compound are obtained by the reaction between molten MX and elemental lanthanides . Difluoride of all lanthanides are iso structure with each other .
Divalent Chalco genides
These compound have  been prepared for all Ianthanides except for Pm, most by direct Combination Thesecompounds are almost black with the exception; :51 I SmZ, EuZ. YbZ, 'I‘mSIand. They have high metallic conductivity. CrystaI of these compounda have cubic NaCI type structure.

M0 oxides

MO oxides are obtained by the reduction of M2 0 oxides with the metal at ;, elevated temperature.

Compounds of Lanthanides in +3 Oxidation State

Nearly all known anions form the compounds with M3‘ cation These compound; are stable In solid as well as in solution state Compounds of M3“ cation With th: anions such as OH‘, COJ'J', 8043', C204}, NOa‘ etc. decompose on heating, give fir; “ basic salts and finally oxides. Hydrated salts that contain thermally stable anion such as F, Cl‘, Br, PO 3” etc. also give similar products on heating because of .: hydrolysis. 1.

Compounds of M“ cation with the anions Cl, Br, I, NOJ‘, CH 3'C00 ,,B0 7‘ :2: are generally soluble In water while those with F, 0H, 02‘, C :0 1’ ,COf‘ ,CrO 1' PO"? etc. are generally insoluble. ‘

1. Trihalides, MX

Fluorides are precipitated by the addition ofHF or a soluble fluoride to a M" I salts solution. The fluorides particularly of heavier lanthauides, are sparingly soluble 5' ‘ in HF due to the formation of Iiuoto complexes. ' The anhydrous chlorides can be prepared by the direct combination of the M elements on heating. These are best prepared by heating the oxides (M203) with The

carbonyl chloride (COCIZ) or NH ‘Cl. and
M20a + 300012 --> 2MC13 + 3002 s N D};
M203 + 6NH4CI JOEL, mm, + 3H20 + 6NH3

'The anhydrous chlorides cannot be obtained from the hydrated chlorides, sinc aque IhI-se lose HCI on heating to give the oxychlorides (MOCI) more easily.
Excepting CeO and TbO  other oxides are obtaIned by burning lanthanides in O(ii) igniting carbonates, nitrates and salts containing anions (e g CO3a CO ’r so 2 etc. ) In air

2M+302 --) M303
M2(CO3)3 -> M303+CO3
4M(NO33) -> 2M330 +2NO +30

. M2 03 oxides are strongly basic and their basic character decreases as atomic (sumber Increases. For example Lu is strongly basic while Lu is least basic. ~m’des are soluble In H2O and form M(OH)3. Oxides dissolve In aqueous acids to ,Jve solution which contains [M (H2 0) 3‘ Ion. 3M(OH) can be prepared by prolonged ,3 geatment of M2 03 with cone NaOH at high temperature and pressure.

‘ . Trivalent chalcogenides, M3Z 3(ZS, Se, Te)

LIE 7“: M283, M2 Se3 and M 33Te have been obtained for most of lantham'des. These .I‘ Impounds arze obtained by (i) the direct combination of elements (ii) the reaction of Is .113" z: or H2 Se on lanthanide metals (iii) by the reduction of 0x0 salts In general these of lid compounds are stable m dry air but are hydrolysed In presence of mmsture Ifheated ‘;_,In air, they (especially sulphides) are oxidised to basic salts of the corresponding anion and they are attacked by acids With the evolution of H3Z.

. 4. Nitrides

Nitrides are prepared by direct combination of elements at about 1200°C or 3ij the action of N2 or N H on hydrides of lanthamdes.

13 5. Carbonates, M3(CO3)3

The normal carbonates can be prepared by passing CO2 into an aqueous solution be ofM(OH)3. They can also be prepared by adding N 213003 solution to M“ saltsolution.

.th The carbonates are insoluble in H30, but dissolvein acids with liberation of CO2 and Forming Ma’ salts.

Nitrates, M(NO )

The hydrated nitrates, M(NO 3) 6H3 O are obtained by the evaporation of aqueous solutions These compounds are soluble m H O, alcohols, ketones and esters

Phosphates and Oxalate

These compounds are insoluble' In water. All lanthanides are quantatively  precipitated as oxalales from M" solution containing CO ion. The precipitate on

dring and ignition gives MO

Double Salts
Lamhunide salts form a large number of dauble salts. The most importing ‘ double salts are:
(i) Double nitrates such as 2M(NO) 3(N03): . 24H20 (15!" 1 Mg. Zn. Ni: Mn) and “(310, ). 2N}! N0. 4!! 0. ‘1
r (ii) Double sulphates such as M (SO «3) .3M‘SQ 12HO (alkali metal) .The double sulphates. M (SO ). 3N3 “SO .12H :0 where \l = LaEu are on); sparingly soluble ln Na ”SO IN MI: those where M: Gd Lu are appreciably soluble; Time a separation of lanthanides Into two groups: Cerium group having L8,.-;Eu lnnthanidcs and Yttrium group having Gd “-Lu. lanthanides Is possible. Since the double salts crystallisc well. these are sued to separate the ramanhs from one another. In the above description M represents lanthanide atom.

Compounds of Lanthanides in +4 Oxidation State '

Chemistry of compounds in +4 oxidation state is mainly the chemistry o§ Co (IV) compounds Double salts like Ge(NO ). 2N}! ”NO and Ce(SO )2  SO 2H 0 have also been prepared.

The standard oxidation potentials at 25'C. in acid solution. of Ce“ and Pr: ions are given as under:

. 7i’).,

Ce" = Ce" 4» e". EL: +1.74 v
Pr“ = Pr“+e.E;-+2.86V
E vaues show that Co (Ni and Pr (IV) are strong oxidising agents. the latter being further stronger of the two CeiSO ). is generally used In volumetric analysis.Ce" ion is mutually reduced to ion. The tetravalentm  ions of Ce are stable In the solId state as well as In solution Pr", Nd“. Tb" and D)“ are stable only In solution.

Uses of Lanthanides

Linthnnides are used In metallothermic reactions due to their extraordnairy reducing property (Co is a stronger reducing agent than All Lanthanido thermic process can yield sufficiently pure Nb. Zr. Fe, Co. NI. Mn. Y. W. L'. B and 5‘.

Those metals are also used as de-oxidising agents particularly in the manufacture of (Eu and its alloys.

Use of lanthanides. Alloys of lanthanides are known as rnIsh-mewl: The major constituents of mish~metals are Ce (45-50%). La (25% . Nd 5%) IL.“ 'cmll qunnunes of other lanthanide metals and F e and Ca impurities.
mish metal are used for the production of different brands of steel like heat and Instrumental steels. The addition of 0.75% of mish-metals

i M steel raises its yield point and its working  in heated state and improves its resistance to oxidation mIisch metal is an excellant scanvengers for absorping oxygen and  sulphur 1n metallurgy.

: 1 1': Mg-allops containing about 30% misch metal and 1% Zr are useful in making

y m of Jet engine When 11110} ed with 30% iron, it is sumciently pvrophoric to be

" _ éseful 111 lighter flints.

-' 595 of the Lanthanide Compounds

‘3. The uses of the compounds of lanthanides can broadly be classifled as follows; 1. Nonnuclear applications. The following uses are important

,. (1:) )Ceramic applications. CeOZ. Lagos, Nd203 and 131303 are widely used for ecolorising glass Approximately 1% CeO is used in the manufacture ofprotectiv e ', ansparent glass blocks to be used In nuclear technology because these blocks are ‘ ot affected b) pro-longed exposure to radiations Because Ianthanjde oxides can .gibsorb ultTa-violet rays, these are used as additives in glasses for special purposes, :35 g. for making (1) sun-glasses (by adding, NdZOS) (ii) goggles for glass blowing and :weldmg work 11:11:03 + P1203) (iii) glasses protecting eyes h'orn neutron radiation 4:11:03 + 5:11:03) etc. 5‘1: The addition of more than 1% CeO2 to glass gives it a brown colour. NdEOS and £31203 give respectively red and green colours. (Nd203 + Pr203) gives a blue colour. E“; (b) Refractories. C138 (11:. pt = 2000°C) is used in the manufacture of a special 5: ye of crucibles which are used for melting metals m a reducing atmosphere at Wfémperatures upto 1800°C Borides, carbides and nitrides of lanthanides are also gused as refractories

K1:

1-.“ (c) Abrasives. Lantham'de oxides are used as abrasi ves for polishing glasses, gig. the mixture of oxides, CeO2 (47%), LaZO. + Nd20 + Pr 0 (51%) + 3102,0210,

1Ee_0 etc (= 2%) which is callezd poljrite has been used for polishing glassezs.

(d) Paints. Lanthanide compounds are used 111 the manufacture oflakes, dyes {and paints for porcelain, e.g. cerium molybdate gives light yellow colour, cerium isiungstate gives gTeenjsh blue colour and salts of Nd give red colour.

(e) In textiles and leather industries. Ceric salts are used for dying in "textile industries and as tanning agents in leather industries. Ge(NOJ)‘ is used as a mordant for alizarin dyes. Chlorides and acetates oflanthanjdes make the fabrics Waterproof and acid resistant

(f) In medicine and agriculture.

DimaJs which are salicylates of Pr and Nd iare used as germicides. Cerium salts are used for the treatment of vomiting and Sea sickness. Salts of Er and Ce increase the red-blood corpuscles and haemoglobin content of blood.
In agriculture lantham'de compotmds are used as insecto-fungicides and as trace elements in fertilizers.
In lamps
Salts of La, Ce, Eu and Sm are used as activators ofluminophores 1): 0' ed 11. .h: manufacture of gas mantles in the coatings of luminescent 101 paunting  1r5 the screens of cathode-ray tubes.

"‘ In analytical chemistry_ Ge(SO‘)2 is used as an oxidising agent, in voImetric titrations.











Lanthanides

Chemistry ofLanthanides

F block elements

Lanthanides series

elements are also called fblock elements. Thus the last electron enters (n 2) f  subshell in inner-transition elements.

Valence shell electronic conjiguration of the atoms of f block elements can be represented as (n2)]"‘“ (n1)d"‘2 us 2which shows that in  these elements the intermost three shells are partially-filled while the remaining inner shells are E ' partially filled.

.Classification of f-Block Elements '1Inner transition elements (f-block elements) have been classified into the following two series.

(i) Lanthanide series (CeEB to Lu ). The 14 elements from Ce t0 Lu are the  members 0f this series, i. e 14 elements7 from Ce“ to L 1.,1 are called lanthanides. or  elements are called lanthanides, since these elements are placed after

lanthamum (Lam) 1n group 3 and period 6 of the periodic table (See Fig. 9.1) and how close similarities with La“.

Since lanthanides are present Ln 6th period (n: 6) of the periodic table, these elements have six shells 1n their electronic configurationthe last electron in these elements enters (6-2) f or 4f subshell Thus lanthanides are als'o called 4f ?%lock elements, 1. e. lanthanides are a series of 14 elements (Ce5 ate Lu“) m which the last electron goes to 4f subshell or to f sub shell of 4th shell. ‘

It has been observed that all the 15 elements from La to Lu71 have similar properties. Hence the study of lanthanides consists of the study all the 15 elements om La to Lu together. La57 is the prototype of lanthanides.

Lanthanides are also called lanthanones or rare earths. The name are earth

Elements given to them because they were originally extracted from oxides for which  “ancient name was earth and which were considered to rare. The term rare earth was  avoided now because manv of these elements are no longer  rare but are abudant nn  ---




Position of lanthanides
Production of Lanthanide Metals
position of Lanthanides in the Periodic Table

All the fifteen lanthanides atomic numbers have atomic weights between those of barium( atomic number Z= 56 and hafnium Z= 72 ) and, therefore, must be placed between these two elements as was also proved by Moseley.

Production of Lanthanides Metals

 The following methods may used for this purpose: »

1. Electrolysis of fused chlorides. This method is similar to that used  the metallurgy of Ca by the electrolysis of CaCl2.

2. Reduction of anhydrous chlorides with Na. Lighter lanthanides such a.‘ La, Ce and Gd can easily be prepared by the reduction of their anhydrous chloride With Na at 100°C.
 LaCla + 3Na i‘E-a La + 3NaCl f}

3. Reduction of anhydrous iiuorides and chlorides with Mg or C5;
Hence  lanthanides such as Lu are prepared when their anhydrous fluorides  chlorides are reduced by Ca or Mg metals at a temperature above 1000°C, sing: the fluorides are less volatile than the chlorides and consequently the loss cause by evaporation in case of fluorides 18 small. * -.

Properties of Lanthanides

1.Electronic Configurations

Electronic configurations of lanthanum (La) and fourteen Ianthanides (Ceto Lu) are given in Table 9.1. Valence shell electronic configurations (V. S. E C. )these elements are also given in the same Table. 33

After the completion of 6S orbital at Ba [Ba = [Xe} in La according to Aufbau principle must enter  according to Aufbuu principle, must 4f orbitals to give  configuration to La but in La , the energy“ 5d orbitals IS lower than that 4f orbitals as shown 1n Fig 9. 3. Consequently  5th electron 1n La enters 5d orbitals instead of 4f orbitals. Thus the electronic configuration of La Xe 4f 5d 6s is 1X91“ 4f"5d‘632 and not [Xe],N f" 1°65 as predicted by  aufbau principle



Excepting Gd“ and Lu, other lanthanides have empty 5d orbitals (5d° configuration). Electronic configurtion of Eu 1s [Xe] 4f75d°65and that of Gd [Xe154f’ 5d‘ 6532 Both these configurations are stable due to the presence of stable halftilled 4f orbitals (4f’ configuration) in them. Electronic configuration of wa  41‘“ 5d° Gs2 and that of Lu711s [Xe]5 4f“ 5d‘ Gs2. Both these configurations are
stable due tobthe presence of stable of these elements can be written as: ‘
)
the experimental fact that Sm ion  has a tendency to get reducedd to Ce  ion in aqueous solution.

28m" + 2H20 ---» 28m" + 0n + "2 (RA) (H +1) (H I 0) Ce"+ Fem ~-> Ce" + F0" ‘ Prue ,

Thus sm" is a good RA and Ce is a good OA In aqueous solution. Pr‘ ‘and Tb" are ex on more powerful oxithsing agents

3. Atomic and Ionic Radii: Lanthnnide Contraction

Atomic radIi of Ln atoms and ionic radii of Ln" are given below In Table 9. It may be seen that as we move along lanthanide series. there is a stead decrease In the value of radii.
The steady decrease in atomic and ionic radii of lanthanide elements with increasing atomic number is called lanthanum  contraction. ,

Cause of Lanthanide Cohtraction ~

'1

‘We know that as we proceed from one element to the next one in lanthanide  series, the nuclear charge (Le., atemic number) increases by +1 at each element . Thus as we move from Ce to Lu, the attraction between the nucleus aIl in  the outermost shell electron Increases gradually at each step. It Is also known th 7 as we move from Ce to Lu, the addition of extra electron takes place to 4f orbitals

Since 4 orbitals have ve diffused shape. the electrons In these orbitals are” not to shield (decrease) attraction between the nucleus and the  outerMost shell in the 4 ‘ outermost 3 el as 1e atomIc number of lanthanides only du to the Increase. In tITYIuclcnrcharge I..e, mcmasemte attraction between nucleus and the outer-most shell electrons) that the size of the lanthanide atoms’ and M" Ions decreases gradually with atomic number The above discussion shows * He: that it is due to the poor shielding effect of 4felectrons and gradual Increase in  nuclear charge that the lanthanide contraction takes place among lanthanides.

Consequences of Lanthanide Contraction

Lanthanide contraction plays an important role In determining the chemistry  end heavier transition series elements. Some important oonsequen 0 La on are discussed below:(V nic radii of the two  in pairs an  the same. The above discussion shows that its due to the poor shielding effect of 4f electron and gradual increase in the nuclear charge that the lanthanide contraction takes place among lanthanides.

.x

2nd and 3rd transition series are given in Table 9 4. This table shows that the atomic radius of La (element of 3rd transition series) 15 greater than that of Y On thebasis of trend  the atomic  radii of the two elements present in  each of the pairs viz ZrHf NbTa, M0 W

Ku should be in the order Hf> Zr Ta > Nb W > Mo etc, but the atomic radii of the element is due to the lanthanide contraction seen in lanthanides which lies between La and Hf. Thus we can say that due to lanthanide cnntraclmn the atomic radius 0f 3rd transition series following La is nearly the same ac that of the 11 responding element lying in the same group

Lanthanide contraction

(ii) Similarity in properties of the two elements in the pairs viz Zr-Hf, .-Ta, Mo-W etc,

We have said above that, due to lanthanide contraction, the atomic size of the two elements present in the pairs mz Zr-H.f, NbTa Mo'W etc.are almost the same. Due to similarity in their atomic size, the properties of the f1 elements in each of the above pairs are very sunilar.

(iii) Difficulty in the separation of lanthanides. We know that the

1 properties of metal ion is determined by their size and charge. Now since, on proceeding Erom Ce to Lu the change. In the size of Ln ion  is very small and these ions have the same charge (= +3) chemical properties of lanthanides are
most identical. Due to identical properties. the separation of lanthanides from one another' in the pure state is ditiicult.

(iv) Comparison between the densities of the elements of 2nd and  transition series.

The densities of d-block elements are given in Table 9 5. it may be seen from the table that the densities of elements belonging to the same sub-group icreases on moving down the sub-group .The densities of the d block elements transition series are only slightly higher than those of the corresponding elements of lst transition series while these values for the transition elements from Hf to Hg“ (elements of 3rd transitmn series) are almost double these values T0  the elements from Zr 0 to Cd“ respectively (elements of 2nd transition series ) 1 Note that the density of La (= 6.“17)' 15 not double that of the value for Y (= 4. 47).

The variation of densities oftransition series element' 1.11 the given subgrous as discussed above, can be explained as follows on the basis of lanthanide contraction.

because of lanthanide contraction occurring in lanthanides, the atomic sizes Elements (f ,d transition series coming after La. Consequently the packing off, the atoms in their metallic crystals become so much compact that their densities become very high.
(v) Basic character of hydroxides, M(OH)3 decreases from La(OH) t‘ 'Lu(OH).

Due to lanthanide contraction, the size of +3 lanthanide 1on3 (M3 ions ) decreases regularly with increase in atomic number. As a result of this decrease in  size the covalent character between M3‘ ion and OH‘ mus increases from La(0H). (Fajan ’3 rules). Therefore, the basic character of the hydroxides decrease a with increase in atomic number. Consequently, La(OH.)3 is most basic while Lu(0 IE: _ is the least basic. i: '

hydroxides of lanthanides are stronger bases than Al(OH) but weaker th.

‘ Ca(OH) 1' L . 4. Colour of Tripositive Lanthanide Ions (M Ions)  Most of the trivalent cations of lanthanide elements are coloured in the 501i as well as in aqueous solution while only a few 1on 5 are colourless. (See Fig. 9 4) . f It may be seen from Fig. 9. 4 that the colour depends on the number of electron present' 1n 4f orbitals The elements  having n electrons' in 4f orh1tals has the same colou Tr as the which has (14n) electrons 1n 4f orbitals For example La (4P) which has no electron in its 4f orbitals (n: 0) 1s colourless and Lu3* ion (4)“) which has (140): 14 electrons 1n 4f orb1tals 18 also colourless.Similar1y P1“ 1011 (4F) Which has two electrons' 1n its 4f orbitals (n: 2) and Tm“ 10!] MI“) which has (142): .5; 12 electrons 1n its 4f orbitals have the same colour (green). (See Fig. 9. 3).
Origin of colour.
Colour of lanthanide tripositive ions is due to f f transitin .The absorption bands in the visible region of electronic spectra of the 1ons in their compounds arise due to the absorption of light in the visible range. This results in the transition of the electrons of the ions from the lower energy 4f-orbitals to their  higher energy 4f-orbitals. Thus lanthanide ions have colour which is complement  to the colour of the absorbed light. This type of electronic transition, which takes  place due to absorption of light, is called f-f transition. Evidently absorption bands  seen in the electronic spectra arise due to electronic transition within 4f orbitals ‘3’} f-f transitions of lanthanides are more forbidden than dd transition of  metal ion because 4f electrons of lanthanide ions are much less affected}; a liganad elecrons than the electrons in d-orbitals of transition metal ions groups the selection rules are more strictly followed for transitionin the compounds of lanthanides than in the compounds or f transition metals.
5. Magnetic Properties of Tripositive Lanthanide
M ions)
We known that in Lais empty and that Lu ion is completely filled (4 coniiguration). Thus since all the eléctrons present p 4f orbitals 1n Lu are paired, La shows diamagnetic character. Due the absence of any electron in 4f orbitals of La. This  is also diamagnet. The remaining M are paramagnetic, since 4f orbitals in the remaining ions are partly filled.

To Calculate the value of amu for M" ions.
In-M3" ions, since 4f orbitals are Well shielded from the surroundings by the overlapping 5s and 5p orbitals electric field of ligands surrounding M3+ ions does not restrict (destroy 01' quench  the orbital motion of electrons present in partly filled 4f orbitals of M3+ ions. Thus  M ions, in addition to spin motion, orbital motion of electrons also contribu to the value of pm of M? ions, 1'. e. both types of motion of electrons contribute to 1 Value of pm of M3" 10118. 4felectrons are free to undergo L and S coupling to g? overall (tota1)angular momentum quantum number, which decides the value of for W 10118. um fer Ma? ions is thus represented as which amu given by

It may be seen from Table 9. 6 that the calculated values of amu of some M3 are in good agreement With the experimental values.

In Fig. 9. 5 experimental value of magnetic moments (in BM) of M3  are plotted against the number of unpaired electrons (n) m 4]" orbitals. From figure it may be seen that Laa+ ion (4f°) IS diamagnetic (p: 0), since it has electron  4f orbitals. Pm value increases upto Nd3+ ion and then decrease. It starts rising again and becomes maximum at about

10.5 BM for Dy“. It again starts decreasing and becomes zero (diamagnetic) at ion due to 4 1‘ configuration

The type of paramagnetism which is found in M3” ions is that in which the energy difference (AE) between the lowest energy J level of the metal ion. and the adjascent excited state is larger than thermal energy (kT) at room temperature . Thus since the excited states are much above the ground state, it is only the lowest energy state which is occupied by metal ions. Other states are not occupied by metals ions. Note that  a magnetic field of strength H, each J level is split into 2J +'f‘ states in which each levels separated from its neighbours by BH. In case of su, metal ions the value of u frist given by equation (12).

Equation (1') IS not applicable for Sm3+ and Eu3’“ ions, since the lowest  state (ground state) 1s close to the  j excited state and hence the energy separation (AE)= kT. In such cases, calculated by taking J of the ground state only will not give the correct value oftenE for Sm3+ and Eu8+ lons.
The value of Per calculated from equation (i) for Sm3+ and Eu“ ions are; 0.86 BM and 0.0 BM F respectively (See Table 9. 6). In the calculation of these values W .1 l: have used J: 5/2 fors Sm3” and J: -0 for Eu3+ Total values of J for these ions are as.

Experimental values of amu for Sm" and Eu” ions are 16 BM and 3. 60 BM :respectively. These values show that Physical Properties
All the lanthanides are soft, malleable and ductile, and have low tensile.They are not good conductors of heat and electricity In general the atomic numbers  and densities of these elements increase with the increases in atomic number. : Lanthanides have high melting and boiling points. However, they donot exhibit 3 regular trend with rise in atomic number. Lanthanides have low ionization
energy which compare well with those of the alkaline earth metals particularly Calcium

properties Dependent on Standard Oxidation Potential Values
The standard oxidation potentials (E values) of lanthanides (M) for the oxidation half-reaction,

M(s)‘ -> M3' (aq) + 3e

are given below.

' ' 1‘ ---------EZ, values involts decrease --------> .

15-12“:La-252 Ce'=2.48, Pr=2.46, Nd: 2.43, Pm: 2.42 Sm: 2.41,Eu= 2.40,

I

5i." .3" =2.39 Tb: 2.39, Dy: 2.,35 H0: 232, Er: 230, Tm: 2.28 Yb: 2.2:7Lu 2.25

g‘ These E“ values explain the following properties of lanthanides:

E: (1') Reducing property.
Since lanthanides have positive E" values these elements (M) have a strong tendency to lose their three electrons  hence act as strong reducing agents. Due to the decrease of E" values from La If Lu, the reducing power of lenthanides also decreases from La to Lu.

h(11') Electropositive character.
Since E" values are high, lanthanides can readily lose their electrons and hence show strong electropositive (or metallic) character With the decrease of E" values from La to Lu, the electropositive

. Solubility of Compounds of Lanthanides

_ The nitrates, chlorides, sulphates, perchlorates and salts of oxy acids of lanthanides are soluble but the oxalates, carbonates and fluorides are insoluble 1n

é ,Water. Note that the sulphates of the elements of group 2 are insoluble in water.

Fnrmation of Double Salts
Lanthanides form a number of double salts.1mportant double salts formed by given  below (M 15 the lanthanide element) (1) Cdrbonates, e..g K2

nitrates, e.g. 31 Mg(NO )2. 2M(N0). 24H,O (111) Sulphates, gr Ni1SO Mi so”) 8 water.
10. Chemical Reactivity

Lanthunides differ from one number only in the number of 4f electrons. Since those elements (are very effectively shielded from Interaction with other elements by the overlying 5S, 5p and 6:5 Neutrons they show very little difference in tthe chemical reactivity. Some of the chemical properties of lanthunides are given below
(ii Lauthanides are highly reactive, silverywhite metals. These meta1s ta . Tu readily on exposure to air In the finely divided state, these metals burn in form sesquioxide (MO ). Ce forms CeO. Ytterbium (Yb) resists the action of even at 1000 due to the formation of a protective coating of its oxide.
(ii) Lanthanides combine with H on heating. The hydrides formed are of MH2 and MH3 type. These hydrides are stable.

(iii) Lanthanides react with non metals like S, X2, P N2, C and Si to form  corresponding compounds .

(1v) Lanthanides decompose H2O to evolve H2. Evolution of H2 takes Place slowly in cold and rapidly on heating.

Formation of Complexes

Although tripositive lanthanide cations have a high charge equal to +3 on them, yet their size is so large that their chargeto-radius ratio becomes so sm that these 1on 5 have very poor tendency to form complexes Common ligands which M3 was form stable complexes are: (1') chelating oxygen containing liga like EDTA citric acid, oxalic acid. acetylacetone, (ii) nitrogen containing liga like ethylenediamine, NCS, etc.

Bonding between M3+ mas and the coordinating ligands mainly depends the electronegativity of the bonding atom of the ligands The following order of bond formation of mouodentate ligands has been observed: F< OH‘ < HZO < [9 < C1 etc.

Complex formation in aqueous solution is possible only With those ligating which bind to metal through O-atoms. For example carboxylate anions (RCOO )

13-diketones are such type of ligands. Due to the resonating structures, the chel 21.: ring is stabilised to such extent that it cannot be replaced by OH‘ or 1-120 But fcomplexes m which the ligands are bonded to the metal through N and S dissocia in aqueous solution. Hence such complexes are prepared 1n non-aqueous solutimii ’ ‘~ 1

Generally coordination number (C. N. ) of lanthanide mus in their complexgé ranges from 6 to 9. Maximum C. N of lanthanide ions in complexes formed v. monodentate ligands like F', H201 Cl etc. is 9 Bidentate hgands form complex in which C N. of lanthanide Ions is generallyS, 7 and 8. :3»? Complexes formed by lanthanides 111 +4, +3 and +2 oxidation states 3  discussed below.

(i) Complexes of lanthanides in +4 oxidation state.
Ce is the  lanthanide which forms complexes in  +4 oxidation state. Pr Nd and Dy form some flouro complexes like Na ”[PrF], Cs HINdF ] and C53 [Dy F 71. Carrie ammonia!” i 1' nitrate 0le(NH)621 and cerric ammonium sulphate,7,(NH1{Ce (SO )1 5f inportant compiexes of Ce. These compounds are soluble in water. Iodates, beta di kitone so form stable complexes having Ce m +4 oxidation state Ce“ £15“ ‘ form: complex ions like [CeF 8]“ [CeF 6:12[CeCl 612etc.

1:. (ii) Complexes of lanthanides in +3 oxidation state. Since +3 is the most   oxidation state of lanthanides, lanthanides form the maximum number of  complexes having lanthanides in +3 oxidatidn state. All the lanthanides form a complex cation, [M(H20)"]3+ where n is generally 8 or 9.

M3+ ions form complex ions with various organic and inorganic anions as like state, citrate tartrate, nitrate and sulphate In all these complexes C. N. of M3“ -. is quite high. For example C N. of C9 ion  in [Ge (NO 3);?" and [Ge(NO ) 613" Is  Fa "d 6 respectively. Diketonate anion (RCOCHCOR) reacts With M3*1ons to form {M (L3 diketo13‘) l [M (Bdiketonato)a L] (L: H2 0, pyridine etc )and M (Bdiketonato). These
complexes are more stable than all other types of M3*-complexes.. [EDTA anions

:3 1') forms complex anions of [M(EDTA). 3H 2'0] type with all M ions.
Although nitrogen containing monodentate ligands do not form stable complex with M1“ ions, bidentate ligands having two donor N-atoms form stable chelates.

For example, ethylene diamine (en) forms complex cation, [M( en )13‘ With ions in polar organic solvents

' (iii) Complexes of lanthanides' m +2 oxidation state Complexes having thamdes 111 +2 oxidation state are rare.

Compounds of Lanthanides in +2 Oxidation State

5 Compounds of Sm”, Eu2+ and Yb“ have been characterised. Compounds of “ese ions are obtained by (i) the reduction of fused trihalides or oxides with the esponding metal (ii) electrolytic reduction of Eu” and Yb” in aqueous solution ‘ ) by thermal decomposition of anhydrous trihalides (2M}(: --> 2MX:+ X2) Of the valent compounds of lanthamdes those ofEu2" are the most stable All c‘ompounds M2+ IODS decompose in H O with evolution of H2.

2M2+ + 2H 0 ~~~> 2M3“ + 220B“ + H2

Compounds of Sm” Eu and Yb” lODS exist in solution. These ions are oxidised M“ ions in aqueous solution

SmWaq) ---> Sm3*(aq) +e‘, E3, 2 1.55V
1 Eu2*(aq) ~-) Eu3*(aq) + e’, ng = 0.43 V 0.
Yb” (aq) --> Yb3+ (aq) +e*. E3, = 1.15 V

E values given above show that reducing strength of M  ions in the order:
               Sm◀Yb◀Eu

Dalides
These compound are obtained by the reaction between molten MX and elemental lanthanides . Difluoride of all lanthanides are iso structure with each other .
Divalent Chalco genides
These compound have  been prepared for all Ianthanides except for Pm, most by direct Combination Thesecompounds are almost black with the exception; :51 I SmZ, EuZ. YbZ, 'I‘mSIand. They have high metallic conductivity. CrystaI of these compounda have cubic NaCI type structure.

M0 oxides

MO oxides are obtained by the reduction of M2 0 oxides with the metal at ;, elevated temperature.

Compounds of Lanthanides in +3 Oxidation State

Nearly all known anions form the compounds with M3‘ cation These compound; are stable In solid as well as in solution state Compounds of M3“ cation With th: anions such as OH‘, COJ'J', 8043', C204}, NOa‘ etc. decompose on heating, give fir; “ basic salts and finally oxides. Hydrated salts that contain thermally stable anion such as F, Cl‘, Br, PO 3” etc. also give similar products on heating because of .: hydrolysis. 1.

Compounds of M“ cation with the anions Cl, Br, I, NOJ‘, CH 3'C00 ,,B0 7‘ :2: are generally soluble In water while those with F, 0H, 02‘, C :0 1’ ,COf‘ ,CrO 1' PO"? etc. are generally insoluble. ‘

1. Trihalides, MX

Fluorides are precipitated by the addition ofHF or a soluble fluoride to a M" I salts solution. The fluorides particularly of heavier lanthauides, are sparingly soluble 5' ‘ in HF due to the formation of Iiuoto complexes. ' The anhydrous chlorides can be prepared by the direct combination of the M elements on heating. These are best prepared by heating the oxides (M203) with The

carbonyl chloride (COCIZ) or NH ‘Cl. and
M20a + 300012 --> 2MC13 + 3002 s N D};
M203 + 6NH4CI JOEL, mm, + 3H20 + 6NH3

'The anhydrous chlorides cannot be obtained from the hydrated chlorides, sinc aque IhI-se lose HCI on heating to give the oxychlorides (MOCI) more easily.
Excepting CeO and TbO  other oxides are obtaIned by burning lanthanides in O(ii) igniting carbonates, nitrates and salts containing anions (e g CO3a CO ’r so 2 etc. ) In air

2M+302 --) M303
M2(CO3)3 -> M303+CO3
4M(NO33) -> 2M330 +2NO +30

. M2 03 oxides are strongly basic and their basic character decreases as atomic (sumber Increases. For example Lu is strongly basic while Lu is least basic. ~m’des are soluble In H2O and form M(OH)3. Oxides dissolve In aqueous acids to ,Jve solution which contains [M (H2 0) 3‘ Ion. 3M(OH) can be prepared by prolonged ,3 geatment of M2 03 with cone NaOH at high temperature and pressure.

‘ . Trivalent chalcogenides, M3Z 3(ZS, Se, Te)

LIE 7“: M283, M2 Se3 and M 33Te have been obtained for most of lantham'des. These .I‘ Impounds arze obtained by (i) the direct combination of elements (ii) the reaction of Is .113" z: or H2 Se on lanthanide metals (iii) by the reduction of 0x0 salts In general these of lid compounds are stable m dry air but are hydrolysed In presence of mmsture Ifheated ‘;_,In air, they (especially sulphides) are oxidised to basic salts of the corresponding anion and they are attacked by acids With the evolution of H3Z.

. 4. Nitrides

Nitrides are prepared by direct combination of elements at about 1200°C or 3ij the action of N2 or N H on hydrides of lanthamdes.

13 5. Carbonates, M3(CO3)3

The normal carbonates can be prepared by passing CO2 into an aqueous solution be ofM(OH)3. They can also be prepared by adding N 213003 solution to M“ saltsolution.

.th The carbonates are insoluble in H30, but dissolvein acids with liberation of CO2 and Forming Ma’ salts.

Nitrates, M(NO )

The hydrated nitrates, M(NO 3) 6H3 O are obtained by the evaporation of aqueous solutions These compounds are soluble m H O, alcohols, ketones and esters

Phosphates and Oxalate

These compounds are insoluble' In water. All lanthanides are quantatively  precipitated as oxalales from M" solution containing CO ion. The precipitate on

dring and ignition gives MO

Double Salts
Lamhunide salts form a large number of dauble salts. The most importing ‘ double salts are:
(i) Double nitrates such as 2M(NO) 3(N03): . 24H20 (15!" 1 Mg. Zn. Ni: Mn) and “(310, ). 2N}! N0. 4!! 0. ‘1
(ii) Double sulphates such as M (SO «3) .3M‘SQ 12HO (alkali metal) .The double sulphates. M (SO ). 3N3 “SO .12H :0 where \l = LaEu are on); sparingly soluble ln Na ”SO IN MI: those where M: Gd Lu are appreciably soluble; Time a separation of lanthanides Into two groups: Cerium group having L8,.-;Eu lnnthanidcs and Yttrium group having Gd “-Lu. lanthanides Is possible. Since the double salts crystallisc well. these are sued to separate the ramanhs from one another. In the above description M represents lanthanide atom.

Compounds of Lanthanides in +4 Oxidation State '

Chemistry of compounds in +4 oxidation state is mainly the chemistry o§ Co (IV) compounds Double salts like Ge(NO ). 2N}! ”NO and Ce(SO )2  SO 2H 0 have also been prepared.

The standard oxidation potentials at 25'C. in acid solution. of Ce“ and Pr: ions are given as under:

. 7i’).,

Ce" = Ce" 4» e". EL: +1.74 v
Pr“ = Pr“+e.E;-+2.86V
E vaues show that Co (Ni and Pr (IV) are strong oxidising agents. the latter being further stronger of the two CeiSO ). is generally used In volumetric analysis.Ce" ion is mutually reduced to ion. The tetravalentm  ions of Ce are stable In the solId state as well as In solution Pr", Nd“. Tb" and D)“ are stable only In solution.

Uses of Lanthanides

Linthnnides are used In metallothermic reactions due to their extraordnairy reducing property (Co is a stronger reducing agent than All Lanthanido thermic process can yield sufficiently pure Nb. Zr. Fe, Co. NI. Mn. Y. W. L'. B and 5‘.

Those metals are also used as de-oxidising agents particularly in the manufacture of (Eu and its alloys.

Use of lanthanides. Alloys of lanthanides are known as rnIsh-mewl: The major constituents of mish~metals are Ce (45-50%). La (25% . Nd 5%) IL.“ 'cmll qunnunes of other lanthanide metals and F e and Ca impurities.
mish metal are used for the production of different brands of steel like heat and Instrumental steels. The addition of 0.75% of mish-metals

i M steel raises its yield point and its working  in heated state and improves its resistance to oxidation mIisch metal is an excellant scanvengers for absorping oxygen and  sulphur 1n metallurgy.

: 1 1': Mg-allops containing about 30% misch metal and 1% Zr are useful in making

y m of Jet engine When 11110} ed with 30% iron, it is sumciently pvrophoric to be

" _ éseful 111 lighter flints.

-' 595 of the Lanthanide Compounds

‘3. The uses of the compounds of lanthanides can broadly be classifled as follows; 1. Nonnuclear applications. The following uses are important

,. (1:) )Ceramic applications. CeOZ. Lagos, Nd203 and 131303 are widely used for ecolorising glass Approximately 1% CeO is used in the manufacture ofprotectiv e ', ansparent glass blocks to be used In nuclear technology because these blocks are ‘ ot affected b) pro-longed exposure to radiations Because Ianthanjde oxides can .gibsorb ultTa-violet rays, these are used as additives in glasses for special purposes, :35 g. for making (1) sun-glasses (by adding, NdZOS) (ii) goggles for glass blowing and :weldmg work 11:11:03 + P1203) (iii) glasses protecting eyes h'orn neutron radiation 4:11:03 + 5:11:03) etc. 5‘1: The addition of more than 1% CeO2 to glass gives it a brown colour. NdEOS and £31203 give respectively red and green colours. (Nd203 + Pr203) gives a blue colour. E“; (b) Refractories. C138 (11:. pt = 2000°C) is used in the manufacture of a special 5: ye of crucibles which are used for melting metals m a reducing atmosphere at Wfémperatures upto 1800°C Borides, carbides and nitrides of lanthanides are also gused as refractories

K1:

1-.“ (c) Abrasives. Lantham'de oxides are used as abrasi ves for polishing glasses, gig. the mixture of oxides, CeO2 (47%), LaZO. + Nd20 + Pr 0 (51%) + 3102,0210,

1Ee_0 etc (= 2%) which is callezd poljrite has been used for polishing glassezs.

(d) Paints. Lanthanide compounds are used 111 the manufacture oflakes, dyes {and paints for porcelain, e.g. cerium molybdate gives light yellow colour, cerium isiungstate gives gTeenjsh blue colour and salts of Nd give red colour.

(e) In textiles and leather industries. Ceric salts are used for dying in "textile industries and as tanning agents in leather industries. Ge(NOJ)‘ is used as a mordant for alizarin dyes. Chlorides and acetates oflanthanjdes make the fabrics Waterproof and acid resistant

(f) In medicine and agriculture.

DimaJs which are salicylates of Pr and Nd iare used as germicides. Cerium salts are used for the treatment of vomiting and Sea sickness. Salts of Er and Ce increase the red-blood corpuscles and haemoglobin content of blood.
In agriculture lantham'de compotmds are used as insecto-fungicides and as trace elements in fertilizers.
In lamps
Salts of La, Ce, Eu and Sm are used as activators ofluminophores 1): 0' ed 11. .h: manufacture of gas mantles in the coatings of luminescent 101 paunting  1r5 the screens of cathode-ray tubes.

"‘ In analytical chemistry_ Ge(SO‘)2 is used as an oxidising agent, in voImetric titrations.











Friday, 2 November 2018

Potentiometric Method

Introduction

we mentioned measurement of the potential of a solution and described a platinum electrode whose potential was determined by the half-reaction of interest. This was a special case, and there are a number of electrodes available for measuring solution potentials. In this chapter, we list the various types of electrodes that can be used for measuring solution potentials and how to select the proper one for measuring a given analyte. The apparatus for making potentiometric measurements is described along with limitations and accuracies of potentiometric measurements. The important glass pH electrode is described, as well as standard buffers required for its calibration. The various kinds of ion-selective electrodes are discussed. The use of electrodes in potentiometric titrations is described in Chapter 14. Potentiometric electrodes measure activity rather than concentration, a unique Review activities in Chapter 6, for an understanding of potentiometric measurements. feature, and we will use activities in this chapter in describing electrode potentials. An understanding of activity and the factors that affect it are important for direct potentiometric measurements, as in pH or ion-selective electrode measurements. You should, therefore, review the material on activity and activity coefficients in Chapter 6. Potentiometry is one of the oldest analytical methods, with foundations of electrode potentials and electrochemical equilibria laid down by J. Willard Gibbs (1839–1903) and Walther Nernst (1864–1941).

 Metal Electrodes for Measuring the Metal Cation 

An electrode of this type is a metal in contact with a solution containing the cation of the same metal. An example is a silver metal electrode dipping in a solution of silver nitrate. For all electrode systems, an electrode half-reaction can be written from which the potential of the electrode is described. The electrode system can be represented by M/Mn+, in which the line represents an electrode–solution interface. For the silver electrode, we have                                    Ag|Ag+ (13.1) 
and the half-reaction is 
                                          Ag+ + e− Ag (13.2)
 The potential of the electrode is described by the Nernst equation: 
E = E0 Ag+,Ag − 2.303RT nF log 1 aAg+ (13.3)
 where aAg+ represents the activity of the silver ion (see Chapter 6). The value of n here is 1. Because, in the interpretation of direct potentiometric measurements, significant errors would result if concentrations were used in calculations. Increasing cation activity always 
The potential calculated from Equation 13.3 is the potentialrelative to the normal causes the electrode potential to become more positive (if you write the Nernst equation properly). hydrogen electrode (NHE—see Section 13.3). The potential becomes increasingly positive with increasing Ag+ (the case for any electrode measuring a cation). That is, in a cell measurement using the NHE as the second half-cell, the voltage is Emeasd. = Ecell = Eind vs. NHE = Eind − ENHE (13.4) where Eind The indicator electrode is the one is the potential of the indicator electrode (the one that responds to the test that responds to the analyte. solution, Ag+ ions in this case). Since ENHE is zero, Ecell = Eind (13.5) corresponds to writing the cells as Eref |solution|Eind (13.6) and Ecell = Eright − Eleft = Eind − Eref = Eind − constant (13.7) where Eref The reference electrode completes is the potential of the reference electrode, whose potential is constant. Note the cell but does not respond to the analyte. It is usually separated from the test solution by a salt bridge. that Ecell (or Eind) may be positive or negative, depending on the activity of the silver ion or the relative potentials of the two electrodes. This is in contrast to the convention used in Chapter 12 for a voltaic cell, in which a cell was always set up to give a positive voltage and thereby indicate what the spontaneous cell reaction would be. In potentiometric measurements, we, in principle, measure the potential at zero current so as not to disturb the equilibrium, i.e., don’t change the relative concentrations of the species being measured at the indicating electrode surface—which establishes the potential (see measurement of potential, below). We are interested in how the potential of the test electrode (indicating electrode) changes with analyte concentration, as measured against some constant reference electrode. Equation 13.7 is arranged so that changes in Ecell reflect the same changes in Eind, including sign. This point is discussed further when we talk about cells and measurement of electrode potentials. Any pure substance does not The activity of silver metal above, as with other pure substances, is taken as numerically appear in the Nernst equation (e.g., Cu, H2O); their activities are taken as unity. unity. So an electrode of this kind can be used to monitor the activity of a metal ion in solution. There are few reliable electrodes of this type because many metals tend to form an oxide coating that changes the potential.

 METAL–METAL SALT ELECTRODES FOR MEASURING THE SALT ANION 

 The general form of this type of electrode is M|MX|Xn−, where MX is a slightly soluble salt. An example is the silver–silver chloride electrode: 
                                       Ag|AgCl(s)|Cl− (13.8)
 The (s) indicates a solid, (g) is used to indicate a gas, and (l) is used to indicate a pure liquid. A vertical line denotes a phase boundary between two different solids or a solid and a solution. 

The half-reaction is AgCl + e− Ag + Cl− (13.9) where the underline indicates a solid phase and the potential is defined by E = E0 AgCl,Ag − 2.303RT F log aCl− (13.10) The number of electrons, n, does not appear in the equation because here n = 1. This electrode, then, can be used to measure the activity of chloride ion in Increasing anion activity always causes the electrode potential to decrease. solution. Note that, as the activity of chloride increases, the potential decreases. This is true of any electrode measuring an anion—the opposite for a cation electrode. A silver wire is coated with silver chloride precipitate (e.g., by electrically oxidizing it in a solution containing chloride ion, the reverse reaction of Equation 13.9). Actually, as soon as a silver wire is dipped in a chloride solution, a thin layer of silver chloride and is usually not required. Note that this electrode can be used to monitor either aCl− or aAg+ . It really The Ag metal really responds to Ag+, whose activity is determined by K◦ sp and aCl− . senses only silver ion, and the activity of this is determined by the solubility of the slightly soluble AgCl. Since aCl− = Ksp/aAg+ , Equation 13.10 can be rewritten:
 E = E0 AgCl,Ag − 2.303RT F log Ksp aAg+ (13.11) E = E0 AgCl,Ag − 2.303RT F log Ksp − 2.303RT F log 1 aAg+ (13.12) Comparing this with Equation 13.3, we see that
 E0 Ag+,Ag = E0 AgCl,Ag − 2.303RT F log Ksp (13.13) 
Ksp here is the thermodynamic solubility product K◦ sp  since activities, rather than concentrations, were used in arriving at it in these equations. We could have arrived at an alternative form of 

Equation 13.10 by substituting Ksp/aCl− for aAg+ in Equation 13.3 
 In a solution containing a mixture of Ag+ and Cl− (e.g., a titration of Cl− with Ag+), the concentrations of each at equilibrium will be such that the potential of a silver wire dipping in the solution can be calculated by either Equation 13.3 or Equation 13.10.
 This is completely analogous to the statement in that the potential of one half-reaction must be equal to the potential of the other in a chemical reaction at equilibrium.
 Equations 13.2 and 13.9 are the two half-reactions in this case, and when one is subtracted from the other, the result is the overall chemical reaction.
                            Ag+ + Cl− AgCl (13.14)
 Note that as Cl− is titrated with Ag+, the former decreases and the latter increases. 
Equation 13.10 predicts an increase in potential as Cl− decreases; and similarly, Equation 13.12 predicts the same increase as Ag+ increases. The silver electrode can also be used to monitor other anions that form slightly soluble salts with silver, such as I−, Br−, and S2−. The E0 in each case would be that for the particular half-reaction
                             AgX + e− Ag + X−. 
Another widely used electrode of this type is the calomel electrode, Hg, Hg2Cl2(s)|Cl−. This will be described in more detail when we talk about reference electrodes.

 

 pH MeasurementofBlood—Temperature Is Important The pH measurement of blood 

 Because the equilibrium constants of the blood buffer samples must be made at body temperature to be meaningful. systems change with temperature, the pH of blood at the body temperature of 37◦ C is different than at room temperature. Hence, to obtain meaningful blood pH Christian7e c13.tex V2 - 08/13/2013 1:49 P.M. Page 423 13.16 PH MEASUREMENTS IN NONAQUEOUS SOLVENTS 423 measurements that can be related to actual physiological conditions, the measurements should be made at 37◦ C and the samples should not be exposed to the atmosphere. (Also recall that the pH of a neutral aqueous solution at 37◦ C is 6.80, and so the acidity scale is changed by 0.20 pH unit.) 

Some useful rules in making blood pH measurements are as follows: 

1. Calibrate the electrodes using a standard buffer at 37◦ C, making sure to select the proper pH of the buffer at 37◦ C and to set the temperature on the pH meter at 37◦ C (slope = 61.5 mV/pH). It is a good idea to use two standards for calibration, narrowly bracketing the sample pH; this assures that the electrode is functioning properly. Also, the electrodes must be equilibrated at 37◦ C before calibration and measurement. The potential of the internal reference electrode inside the glass electrode is temperature dependent, as may be the potential-determining mechanism at the glass membrane interface; and the potentials of the SCE reference electrode and the liquid junction are temperature dependent. (We should note here that if pH or other potential measurements are made at less than room temperature, the salt bridge or the reference electrode should not contain saturated KCl, but somewhat less concentrated KCl, because solid KCl crystals will precipitate in the bridge and increase its resistance.)
 2. Blood samples must be kept anaerobically to prevent loss or absorption of CO2. Make pH measurements within 15 min after sample collection, if possible, or else keep the sample on ice and make the measurements within 2 h. The sample is equilibrated to 37◦ C before measuring. (If a pCO2 measurement is to be performed also, do this within 30 min.) 
3. To prevent coating of the electrode, flush the sample from the electrode with saline solution after each measurement. A residual blood film can be removed by dipping for only a few minutes in 0.1 M NaOH, followed by 0.1 M HCl and water or saline.

 Ion-Selective Electrodes

 Various types of membrane electrodes have been developed in which the membrane an excellent tutorial (130-page beginners guide) on principles of pH and ion-selective electrodes, calibration, and measuring procedures. potential is selective toward a given ion or ions, just as the potential of the glass membrane of a conventional glass electrode is selective toward hydrogen ions. These electrodes are important in the measurement of ions, especially in small concentrations. Generally, they are not “poisoned” by the presence of proteins, as some other electrodes are, and so they are ideally suited to measurements in biological media. This is especially true for the glass membrane ion-selective electrodes. It is important to know what other None of these electrodes is specific for a given ion, but each will possess a certain analytes an ISE responds to and the relative response compared to the analyte of interest. See Professor’s Favorite Example at the end of this chapter - it is fortunate that that particular ISE produced a physically impossible result - had it produced a reasonable result, the presence of perchlorate in Martian soil would not have been so apparent. selectivity toward a given ion or ions. So they are properly referred to as ion-selective electrodes (ISEs).

 GLASS MEMBRANE ELECTRODES 

These are similar in construction to the pH glass electrode. Varying the composition of the glass membrane can cause the hydrated glass to acquire an increased affinity for various monovalent cations, with a much lower affinity for protons than the pH glass electrode has. The membrane potential becomes dependent on these cations, probably through an ion exchange mechanism similar to that presented for the glass pH electrode; that is, a boundary potential is produced, determined by the relative activities of the cations on the surface of the gel and in the external solution. Increased cation activity results in increased positive charge on the membrane and a positive increase in electrode potential. The construction is similar to Figure 13.6. The internal filling solution will The glass membrane pH electrode is the ultimate ion-selective electrode. usually be the chloride salt of the cation to which the electrode is most responsive. The sodium-sensitive type of electrode can be used to determine the activity of H+ is a common interferent with ISEs, and so the pH must be above a limiting value, depending on the concentration of the primary ion (the one being measured). sodium ion in the presence of appreciable amounts of potassium ion. Its selectivity for sodium over potassium is on the order of 3000 or more.

SOLID-STATE ELECTRODES 

The construction of these electrodes is shown in Figure 13.12. The most successful The fluoride ion-selective electrode is one of the most successful and useful since the determination of fluoride is rather difficult by most other methods. example is the fluoride electrode. The membrane consists of a single crystal of lanthanum fluoride doped with some europium(II) fluoride to increase the conductivity of the crystal. Lanthanum fluoride is very insoluble, and this electrode exhibits Nerstian response to fluoride down to 10−5 M and non-Nerstian response down to 10−6 M (19 ppb!). This electrode has at least a 1000-fold selectivity for fluoride ion over chloride, bromide, iodide, nitrate, sulfate, monohydrogen phosphate, and bicarbonate anions and a 10-fold selectivity over hydroxide ion. Hydroxide ion appears to be the only serious interference. The pH range is limited by the formation of hydrofluoric acid at the acid end and by hydroxide ion response at the alkaline end; the useful pH range is 4 to 9.


Thursday, 1 November 2018

Selective ElectroChemical Analysis

Selective ElectroChemical Analysis

In this chapter we introduced three electrochemical methods of analysis: 
potentiometry
,coulometry
voltammetry. 
1:In potentiometry we measure the potential of an indicator electrode without allowing any significant current to pass through the electrochemical cell. In principle we can use the Nernst equation to calculate the analyte’s activity—junction potentials, however, require that we standardize the electrode.

There are two broad classes of potentiometric electrodes:
1:Metallic electrodes
1:Membrane electrodes

 Metallic electrodes

 The potential of a metallic electrode is the result of a redox reaction at the electrode’s surface. An electrode of the first kind responds to the concentration of its cation in solution; thus, the potential of a Ag wire is determined by the activity of Ag+ in solution. If another species is in equilibrium with the metal ion, the electrode’s potential also responds to the concentration of that species. 

For example 

 The potential of a Ag wire in a solution of Cl responds to the concentration of Cl because the relative concentrations of Ag+ and Cl are fixed by the solubility product for AgCl. We call this an electrode of the second kind.

Determination


The potential of a membrane electrode is determined by a difference in the composition of the solution on each side of the membrane. Electrodes using a glass membrane respond to ions that bind to negatively charged sites on the membrane’s surface. A pH electrode is one example of a glass membrane electrode. 

Membrane electrodes

Other kinds of membrane electrodes include those using insoluble crystalline solids or liquid ion-exchangers incorporated into a hydrophobic membrane. The F ion-selective electrode, which uses a single crystal of LaF3 as the ion-selective membrane, is an example of a solid-state electrode. The Ca2+ ion-selective electrode, in which the chelating di-(n-decyl)phosphate is immobilized in a PVC membrane, is an example of a liquid-based ion-selective electrode.

Determined


Potentiometric electrodes can be designed to respond to molecules by using a chemical reaction that produces an ion whose concentration can be determined using a traditional ion-selective electrode. A gas-sensing electrode, for example, include a gas permeable membrane that isolates the ion-selective electrode from the gas. When the gas diffuses across the membrane it alters the composition of the inner solution, which is monitored with an ion-selective electrode. An enzyme electrodes operate in the same way.


Coulometric methods 


Coulometric methods are based on Faraday’s law that the total charge or current passed during an electrolysis is proportional to the amount of reactants and products in the redox reaction. If the electrolysis is 100% efficient—meaning that only the analyte is oxidized or reduced—then we can use the total charge or current to determine the amount of analyte in a sample. In controlled-potential coulometry we apply a constant potential and measure the resulting current as a function of time. In controlled-current coulometry the current is held constant and we measure the time required to completely oxidize or reduce the analyte.

 Voltammetry Method

In voltammetry we measure the current in an electrochemical cell as a function of the applied potential. There are several different voltammetric methods that differ in terms of the type of working electrode, how we apply the potential, and whether we include convection (stirring) as a means for transporting of material to the working electrode.

Techniques

Polarography is a voltammetric technique that uses a mercury electrode and an unstirred solution. Normal polarography uses a dropping mercury electrode, or a static mercury drop electrode, and a linear potential scan. Other forms of polarography include normal pulse polarography, differential pulse polarography, staircase polarography, and square-wave polarography, all of which use a series of potential pulses.

In hydrodynamic voltammetry the solution is stirred using either a magnetic stir bar or by rotating the electrode. Because the solution is stirred a dropping mercury electrode can not be used; instead we use a solid electrode. Both linear potential scans and potential pulses can be applied.

In stripping voltammetry the analyte is first deposited on the electrode, usually as the result of an oxidation or reduction reaction. The potential is then scanned, either linearly or by using potential pulses, in a direction that removes the analyte by a reduction or oxidation reaction.

Amperometry is a voltammetric method in which we apply a constant potential to the electrode and measure the resulting current. Amperometry is most often used in the construction of chemical sensors for the quantitative analysis of single analytes. One important example is the Clark O2 electrode, which responds to the concentration of dissolved O2 in solutions such as blood and water.

Lanthanides

Inner transition elements or d-block elements The elements from Ce to Lu and from Th to Lr are called inner transition elements have been s...