4.some of important crystall structure

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  • 7/23/2019 4.Some of Important Crystall Structure

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    HPWX]ICCFKPIUJW GAMPF]RH]GFA ]JBPFW

    G. AiHc Xtruhturb TGfagh hflpfuam Ai

    +

    , Hc

    gfas\ >

    9. Af. fo Itfl Ubr Ragt Hbccs >

    ]jbrb irb : Ai +gfas it tjb hfrabr iam bihj hfrabr itfl sjirbm `y : uagt hbccs.

    Jbahb hfatrg`utgfa fo hfrabr itfls gs (g.b.9: :

    Ga AiHc, kgvba iagfa gs surrfuambm y ?hitgfas fr vghb-vbrsi. Jbahb,

    Xflb hfllfa litbrgic cgdb LkF, ObF, CgO bxjg`gts tjgs struhturb.

    .

    < = Ai + = Hc < :

    Hf-frmgaitgfa Aul`br < ?

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    HPWX]ICCFKPIUJW GAMPF]RH]GFA ]JBPFW

    8. Itflgh Pimgus r) >

    Orfl Ogk.

    i < 0r+ + 0r0r+ < Pimgus fo Ai+0r < Pimgus fo Hc

    [b hiat tidb rimgus r `bhiusb rimgus fo Ai+& Hc irb mgoobrbat.=. Itflgh Uihdgak Oihtfr >

    Itflgh pihdgak Oihtfr

    i) ]jb spihb cittghb fo AiHc struhturb gs OHH, wgtj `isgs hfasgst fo Ai+iam Hc, Fabcfhitbm it cittghb pfgat (5, 5, 5) iam ftjbr it fab jico fo tjb `fmy mgikfaic fo tjb

    hu`b.

    `) ]jb struhturb liy icsf `b vgbwbm is ia gatbrpbabtritgfa fo twf OHH su`-

    cittghbs, fab hflpfsbm batgrbcy fo Ai+gfas jivgak tjbgr frgkga ith) (5, 5, 5) iam fab hflpfsbm fo

    Hcgfas jivgak tjbgr frgkga it , siy, i

    0 ,5,5

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    HPWX]ICCFKPIUJW GAMPF]RH]GFA ]JBPFW

    m) ]jbrb irb =-lfcbhucbs it AiHc.

    b) Ga tjb ofrlitgfa fo AiHc hrystic, Ai-

    itfl cfsbs gts futbrlfst

    biam ihqugrbs

    i bxhbssgvb +vb hjirkbs wjgcb Hc-itfl ihhbpts fab b orfl Ai iam, ihqugrb vbhjirkb .

    o) ]jbrb irb bcbhtrfstitgh ofrhb fo ittrihtgfa `btwbba tjb fppfsgtb hjirkbs iam

    strfak rbpucsgvb ofrhbs `btwbba tjb bcbhtrfagh sjbccs fo twf gfas wjba tjby

    hflb hcfsbr.

    k) [jba ittrihtgvb iam rbpucsgvb ofrhbs `iciahb, bqugcg`rgul, rbihjbm, rbsuctgak

    ga sti`cb struhturb.

    Glpfrtiahb fo sti`cb struhturb.

    GG. Mgilfam Xtruhturb TOHH\ >

    Hir`fa itfl fambm tf ofur ftjbr hir`fa itfl tf hfvicbat famgak.

    9. Af. fo Itfls Ubr Ragt Hbcc >

    Ga mgilfam struhturb, tjbrb irb bgkjt hfrabr itfls, bihj hfrabr itfls sjirbm

    `y :-uagt hbccs. Jbahb tjb hfatrg`utgfa fo oihb habtrbm itfl gs 9.

    (g.b.9:: < 9 )

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    HPWX]ICCFKPIUJW GAMPF]RH]GFA ]JBPFW

    Iam tjbrb irb = gasgmb itfl wjghj gs aft sjirbm `y iay ftjbr uagt hbcc

    Jbahb a < 9 + 8 + = < :

    Af.fo itflsRagt hbcc < :

    0. Hf-frmgaitgfa Aul`br HA) >

    Ofr iay hfrabr itfl fo mgilfam, tjrbb abirbst abgkj`furs irb oihb batbrbm

    itfl iam fab abirbst abgkj`fr gs gasgmb itfl `bcfakgak tf tjit hfrabr itfl.

    Jbahb,

    Hf-frmgaitgfa Aul`br < =

    Ofr iay hfrabr itfl fo mgilfam, tjrbb abirbst abgkj`furs irb oihb batbrbm

    itfl iam fab abirbst abgkj`furs gs gasgmb itfl `bcfakgak tf tjit hfrabr itfl.

    Jbahb, Hf-frmgaitgfa Aul`br < =

    8. Itflgh Pimgus r) >

    Ga @hh, `fmy hbatbrbm itfl tfuhjbs tf tjb hfrabr itfls iam hfrabr itfls mf

    aft tfuhj tf bihj ftjbr.

    Orfl Ogk.

    I@

    Itflgh pihdgak Oihtfr

    _fgm Xpihb < 9 IUO< (9 5.8=)< 5.??

    2. Uihdgak Booghgbahy >

    Uihdgak booghgbahy < IUO 955%

    < 5.8= 955%

    < 8= %

    _fgm Xpihb < 5.??

    Uihdgak booghgbahy < 8=%

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    HPWX]ICCFKPIUJW GAMPF]RH]GFA ]JBPFW

    GGG. ^gah Xucpjgmb T^aX\ >

    i)

    ]jb struhturb fo ^gah sucpjgmb gmbatghic tf tjb Mgilfam Hu`gh struhturb.

    `) ]jgs gs ia gfagh hflpfuam.

    h) ]jb @rivigs cittghb fo ^aX gs i oihb hbatbrbm hu`gh TOHH\

    m) Gt hfasgst fo twf gatbrpbabtritgak OHH Xu`-cittghb wjghj irb fhhupgbm `y twf

    mgoobrbat bcblbats iam irb mgspcihbm orfl bihj ftjbr `y fab quirtbr fo

    `fmy mgikfaic.

    b) ]jbrb irb ofur ^aX lfcbhucbs Ofr uagt Hbcc.

    9. Af. fo Itfl Ubr Ragt Hbccs>

    Hichucitgfa ofr ^a >

    Hfatrg`utgfa fo hfrabr itfls gs (g.b.9: :

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    HPWX]ICCFKPIUJW GAMPF]RH]GFA ]JBPFW

    0. Hf-frmgaitgfa Aul`br HA) >

    Ga ^aX, kgvba hitgfa gs surrfuambm `y = iagfas fr vghb-vbrsi. Jbahb,

    8. Itflgh Pimgus r) >

    Jbahb, X-prbsbat it9=tj fo `fmy mgikfaic

    r^ + r < 9=8 i

    =.

    Itflgh Uihdgak Oihtfr >

    Itflgh pihdgak Oihtfr

    i)

    Hfasgmbr i ciybrs fo sglgcir itfls wgtj bihj itfls surrfuambm y ? itfls ga

    fab pciab. (ciybr I) .

    `) Iaftjbr sglgcir ciybr @ hia `b pcihbm fa tfp fo ciybr I suhj tjit tjb itfls fo

    ciybr @ fhhupy tjb ictbraitb viccbys ofrlbm `y tjb itfls fo ciybr I.

    h) Go i abw ciybr gs pcihbm fa tfp fo tjb @-ciybr suhj tjit bihj itfl fo gt gs bxihtcy

    i`fvb tjb itfls fo ciybr I, tjba tjgs abw ciybr wgcc `b bxihtcy gmbatghic tf tjb ciybr

    I & tjgs typb fo stihdgak gs rbpbitbm suhhbssgvbcy .

    m) ]jb ofccfwgak ciybrbm irriakblbat gs f`tigabm.

    ---------- I@I@I@ ---------------

    b) ]jgs typb fo stihdgak gs hiccbm JHU stihdgak & tjb struhturb gs dafwa is Jbxikfaic hcfsb pihdbm struhturb.TAftb > Ga OHH tjb tjgrm ciybr gs aft gmbatghic tf I

    --------------- I@HI@HI@H -------------- \

    Jbxikfaic Hcfsb Uihdbm Xtruhturb TJHU\ >

    Jbxikfaic hcfsb pihdbm (JHU) struhturb gs fab fo tjb lfst lbticcgh struhturb

    i`fut 02 lbtics bxjg`gt tjgs struhturb.

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    HPWX]ICCFKPIUJW GAMPF]RH]GFA ]JBPFW

    9. Af. fo Itfls Ubr Ragt Hbcc >

    Ga JHU, bihj hfrabr itfls fo jbxikfaic oihb gs sjirbm `y sgx uagt hbccs. Jbahb tjb

    mgstrg`utgfa fo hfrabr itfls gs. ]jbrb irb sgx hfrabr itfls fa bihj oihb. (g.b

    uppbr iam cfwbr oihb)

    ]jbrbofrb hfatrg`utgfa fo hfrabr itfls tf tjb uagt hbcc

    Ofr iay oihb hbatbrbm itfl, tjbrb irb ?-abirbst abgkj`furs ga silb jbxikfaic

    pciab, 8-abirbst abgkj`furs irb i`fvb tjb pciab & 8-abbirbst abgkj`furs irb

    `bcfw tjb pciab.

    Jbahb,

    Hf-frmgaitgfa Aul`br < 90

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    HPWX]ICCFKPIUJW GAMPF]RH]GFA ]JBPFW

    8. Itflgh Pimgus r) >

    ]jb itfls irb ga hfatiht icfak tjb bmkbs fo jbxikfaic.

    i < 0r

    r < i0

    2. Itflgh Uihdgak Oihtfr >

    Itflgh pihdgak Oihtfr

    _fculb fo Jbxikfa < Irbi fo `imb jgkjt fo hbcc ---(0)

    Irbi fo @isb < ? Irbi fo I@H

    Irbi fo I@H < `isb jbgkjt ---(8)

    Mriw rIM tf @H .

    Xga ?5 < <

    Itflgh Pimgus

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    HPWX]ICCFKPIUJW GAMPF]RH]GFA ]JBPFW

    Jbgkjt fo ,IM < i sga ?5

    IM