24 - Solid State Questions Answers

in a cubic closed packing of mixed oxide, it is found that lattice has O-2 ion & one half of the octahedral voids are occupied by trivalent cation A+3 & ONE EIGHTH of the FORMULA OF COMPOUND IS

1) AB2O4

2)  A2B2O4

3) A2BO4

4)ABO4

Asked By: SARIKA SHARMA
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Joshi sir comment

the question is incomplete, after ONE EIGHTH, i guess, it will be one eighth of the tetrahedral void are occupied by B

so let no. of O = 1

then no. of octahedral voids = 1 and half of this = 1/2

similarly tetrahedral voids = 2 so 1/8 of it = 2*1/8 = 1/4

so formula = A.5B.25O1  or A2B1O4

if my assumption for question is correct then answer would be 3)     here B is divalent positive ion.

what are d cordination no. of NaCl, ZnS, CsCl, CaF2,,Li2O   upto four places, is there any trick to remember all these? 

Asked By: SARIKA SHARMA
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Joshi sir comment

NaCl    fcc structure   6 for Na and 6 for Cl

ZnS      In ZnS , S forms the face centered cube and Zn occupies half of the tetrahedral holes..The unit cell can be devided into eight equal small cubes,each with 1 Zn and 4 S ions so the coordination no will be 4 for Zn and 4 for S

CsCl  bcc structue  8 for Cs and 8 for Cl

CaF2   fcc structure of Ca with 100% filled tetrahedral voids by F, so coordination no. of Ca is 8 and that of F is 4 

Li2O  anti fluorite structure, fcc structure of O with 100% filled tetrahedral voids by Li so coordination of O is 8 and that of Li is 4 

 

 

IF VOLUME OF 1 MOLE OF STRNTIUM CHLORIDE (HAS FLUORITE STR) IS X CM3 & VOL OF UNIT CELL IS Y CM3 D NA CONSTANT IS GIVEN BY

ANS   ( X/Y) X4

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Joshi sir comment

since 1 unit cell of SrClcontains 4 molecules of the same so ratio will be 4X/Y

IN A FACE CENTRED CUBIC LATTICE A UNIT CELL IS SHARED EQUALLYBY HOW MANY UNIT CELLS

ANS 6

Asked By: SARIKA SHARMA
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Joshi sir comment

due to the reason that a unit cell contribute to 6 of the face attached memers

IN  CRYSTAL OF WHICH ONE OF D FOLLOWING IONIC COMPD. WOULD U EXPECT MAXm DISTANCE B/W CENTRE OF ANION &CATION

1)CsI

2)CsF

3)LiF

4)LiI

Asked By: SARIKA SHARMA
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Joshi sir comment

accordong to my opinion it will be CsI

C forms ccp, A is at 25%terahedral  viod &B is at 50% octahedral viod . if the particles along one of the fce diagonal are removed then formula?

ans A8B8C13

Asked By: SARIKA SHARMA
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Joshi sir comment

normal formula has C atom  =  1

                                     A atom = 2*1/4 = 1/2

                                     B atom = 1*1/2 = 1/2

so structure = C2AB = C4A2B2

now we have to remove atoms from one of the face diagonal so 

remove 2 corner C, so removed C = 1/8*2 = 1/4  and 1 face centre = 1/2                            sum = 3/4 

nothing else

so new formula = C4-3/4A2B2   = A8B8C13

 

if x is length of body diagonal ,then distance b/w 2 nearest cation in rock salt str is

ans    x/(61/2)

Asked By: SARIKA SHARMA
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Joshi sir comment

two nearest cations will be at corner and face centre so distance between these two will be  y   =    a/21/2

here a is side length and according to the given condition x = a31/2  

so a = x/ 31/2   

so  y = x  /  61/2

in the crystal str of Fe3O4 Fe2+& Fe3+ occupy resp.

50% octatrahedral  &12.5% tetrahedral viods

Asked By: SARIKA SHARMA
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Joshi sir comment

let atom of O = 1

so 50% Fe++ in octahedral void  = 1*1/2 = 1/2

and 12.5 % Fe+++ in tetrahedral voids = 2*1/8 = 1/4

so total Fe = 1/2 + 1/4 = 3/4

so name of the compound = Fe3/4O  = Fe3O4

d possible types of two dmensional lattice &3 D primitive unit cells are resp.

ans 5& 7

Asked By: SARIKA SHARMA
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Joshi sir comment

and in 3 D these are 7 crystal system, I have given an article for these 7 already

how many atoms are there in a cubic unitcell having one atom on each corner &two atoms on each body diagonal of cube?

& also if instead 2 there are 3 atoms at body diagonal?

Asked By: SARIKA SHARMA
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Joshi sir comment

corner atoms = 8*1/8 = 1

diagonal atoms = 4*2 = 8

total = 9

in second case calculate similarly

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