.

Динаміка кристалічних граток та симетрія енергетичних станів в неметалічних кристалах, що містять пірамідальні структурні елементи XY3: Автореф. дис..

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EE?ANUeEEE OI?AA?NEOAO ?IAI? OA?ANA OAA*AIEA

OAeE 535 + 539.2

Iaoiaiei Aioii?ia I?ieii??aia

AeEIAI?EA E?ENOAE?*IEO A?AOIE OA NEIAO??ss

AIA?AAOE*IEO NOAI?A A IAIAOAE?*IEO E?ENOAEAO,

UI I?NOssOUe I??AI?AeAEUeI? NO?OEOO?I? AEAIAIOE OO3

01.04.05–Iioeea, eaca?ia o?ceea

Aaoi?aoa?ao

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa o?ceei-iaoaiaoe/ieo iaoe

Ee?a-1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia ia eaoaae?? aenia?eiaioaeueii? o?ceee o?ce/iiai
oaeoeueoaoo Ee?anueeiai oi?aa?neoaoo ?iai? Oa?ana Oaa/aiea.

Iaoeiaee ea??aiee eaiaeeaeao o?ceei-iaoaiaoe/ieo iaoe, aeioeaio AOAAIIA
A?eoi? Ieaenaiae?iae/, Ee?anueeee oi?aa?neoao ?iai? Oa?ana Oaa/aiea,
aeioeaio eaoaae?e aenia?eiaioaeueii? o?ceee o?ce/iiai oaeoeueoaoo

Io?oe?ei? iiiiaioe: aeieoi? o?ceei-iaoaiaoe/ieo iaoe IO*EIANUeEA Aaeeia
Ieaenaiae??aia, ?inoeooo o?ceee IAI Oe?a?ie, caa. a?aeae?eo aeieoi?
o?ceei-iaoaiaoe/ieo iaoe A?OAIIIIA A?eoi? Aaneeueiae/, ?inoeooo o?ceee
iai?ai?ia?aeiee?a IAI Oe?a?ie, i?ia?aeiee iaoeiaee ni?a?ia?oiee

I?ia?aeia onoaiiaa Euea?anueeee aea?aeaaiee oi?aa?neoao ?iai? ?aaia
O?aiea, I?i?noa?noai ina?oe Oe?a?ie, i. Euea?a

Caoeno aeena?oaoe?? a?aeaoaeaoueny “27” aa?aniy 1999 ?. i 14 aiae. 30
oa. ia can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee (oeo? Ae26.001.23) o
Ee?anueeiio oi?aa?neoao? ?iai? Oa?ana Oaa/aiea ca aae?anith 03127,
Ee?a-127, i?iniaeo Aeaaeai?ea Aeooeiaa, 6, o?ce/iee oaeoeueoao

C aeena?oaoe??th iiaeia iciaeiieoenue o a?ae?ioaoe? Ee?anueeiai
oi?aa?neoaoo ?iai? Oa?ana Oaa/aiea ca aae?anith: 01601, INI, Ee?a, aoe.
Aieiaeeie?nueea, 58

Aaoi?aoa?ao ?ic?neaiee ” 25 ” na?iiy 1999 ?ieo

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?
A.A.Io?iiaiei

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie

Ao?oeeaee ?icaeoie aaaaoueio no/anieo aaeocae oaoi?ee iino?eii noeioeth?
iiooe oa aeine?aeaeaiiy iiaeo ia?niaeoeaieo iaoa??ae?a. A iae?i?ei?e
iioeoe?, aeonoiiioeoe?, aeaeo?iiioeoe? oa ?ioeo aaeocyo iioiaeaeo?ii?ee
ieneaei? iaoa??aee ? iaoa??aee ia iniia? aeaiaioa?ieo aai a?ia?ieo
niieoe oni?oii cai?iththoueny neeaaeieie eiiiiceoe?yie, aei neeaaeo yeeo
aoiaeeoue o?e ? a?eueoa o?i?/ieo aeaiaio?a. A a oe?e a?oi? iaoa??ae?a
cia/ia e?euee?noue iaeaaeeoue aei oaeeo, ui i?noyoue a nia? no?oeoo?i?
aeaiaioe o aeaeyae? o?eaiiaeueieo oa oao?aaiiaeueieo i??ai?aeie. A
e?enoaeao aiie iiaeooue ?ici?uoaaoenue naiei ??ciiiai?oiei /eiii:
aoiaeeoe ye ie?ai? iieaeoee aai ?iie (iai?eeeaae, AsJ3, SbJ3, BiJ3);
noai?thaaoe eaioethae, ye? iio?i ua iiaeooue cae?o/oaaoenue o ni??ae?
(iai?eeeaae, e?enoaee i?onoeoo ? i??a?a??eoo); aoiaeeoe aei neeaaeo
oa??a, aea aaea o aeaeyae? a?eueo neeaaeieo no?oeoo?ieo aeaiaio?a
(??ciiiai?oi? nee?eaoe); ? iaa?oue caaaeyee nai?io ?ici?uaiith a
e?enoae?, iaaeaaaoe oeei e?enoaeai oi?eaeueieo aeanoeainoae –
iai?eeeaae, a??io?ii?th oaeeo e?enoae?a ye eiaeao e?o?th oa noeueoao
e?o?th-eae?th. ?, ia caaaeath/e ia oaea ?icia?ooy oi?i, o eieeaaeueieo
niaeo?ao oeeo niieoe i?iyaeythoueny iniaeeaino?, i?eoaiaii? aeaiaioai ?o
aoaeiae – i??ai?aeaeueiei iieaeoeai aai ?iiai XY3. Oiio aaaaea?oueny ia
o?eueee oe?eaaei, a e iaiao?aeiei anoaiiaeoe oi?ie eieeaaiue ye
?cieueiaaieo o?eaiiaeueieo i??ai?aeie XY3, oae ? a?eueo neeaaeieo
iieaeoe oa ?ii?a, aei neeaaeo yeeo aiie aoiaeyoue (X2Y6, X2Y7), oa
aeine?aeeoe, ye oe? eieeaaiiy iiaeeo?eothoueny a ??ciiio e?enoae?/iiio
ioi/aii?.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie

?iaioa aeeiiaia ia eaoaae?? aenia?eiaioaeueii? o?ceee Ee?anueeiai
oi?aa?neoaoo ?iai? Oa?ana Oaa/aiea o a?aeiia?aeiino? c
aea?aeathaeaeaoieie oaiaie I?i?noa?noaa ina?oe Oe?a?ie ?61 “Iioe/i?
aeanoeaino?, iniaeeaino? aeaeo?iiii? no?oeoo?e oa eieaeoeai? aoaeoe a
iaiaoae?/ieo e?enoaeao”, 97014 “Niaeo?ineii?y iecueeineiao?e/ieo oa
iecueei?ici??ieo nenoai” oa a ?aieao i?ia?aie AeEIOII “Iaiaoae?/i?
iaoa??aee ia iniia? neeaaeieo iai?aai?/ieo niieoe” ? a?aeiia?aea?
iaoeiaiio iai?yieo “Iia? iaoa??aee”.

Iaoa ? caaea/? aeine?aeaeaiiy

Iaoith ?iaioe ? aea/aiiy iioe/ieo aeanoeainoae iiaeaeueieo oa iiaeo
iaiaoae?/ieo e?enoae?a, ui i?noyoue no?oeoo?i? aeaiaioe XY3, oeyoii
aeei?enoaiiy iiaeo ? aaeineiiaeaiiy o?aaeeoe?eieo aenia?eiaioaeueieo oa
oai?aoe/ieo iaoiae?a aeine?aeaeaiiy.

Caaea/aie, ui ?ica’ycothoueny a ?iaio?, ? aeine?aeaeaiiy aeeiai?ee
e?enoae?/ieo a?aoie oa aecia/aiiy neiao??? aia?aaoe/ieo noai?a a
e?enoaeao ?c no?oeoo?ieie aeaiaioaie XY3 oa ?o iaeaeeae/eie iio?aeieie.
A aenia?eiaioaeueiiio ieai? aoea iinoaaeaia caaea/a i?aoeec?eieo
oaiia?aoo?ieo aei??thaaiue, a oiio /ene? i?e aeeaieiio ioieiaeaeaii? aei
aae??aiai ae?aiaciio oaiia?aoo?, niaeo??a eiia?iaoe?eiiai ?icn?yiiy
na?oea ia?oiai oa ae?oaiai ii?yaee?a oa niaeo??a ?io?a/a?aiiiai
iiaeeiaiiy oa a?aeaeaaiiy, a a oai?aoe/iiio – iaea?aeaoe aiae?oe/iee
?ica’ycie caaea/? i?i ciaoiaeaeaiiy oi?i ii?iaeueieo eieeaaiue
i??ai?aeaeueii? iieaeoee XY3, ?ii?a X2Y6, X2Y7, a oaeiae e?enoae?a, aei
neeaaeo yeeo aiie aoiaeyoue ye no?oeoo?i? aeaiaioe, oa aeine?aeeoe, ye
oe? eieeaaiiy iiaeeo?eothoueny a ??ciiio e?enoae?/iiio ioi/aii?, a
oaeiae c aeei?enoaiiyi iaoiae?a iiaoaeiae i?iaeoeaieo i?aaenoaaeaiue
a?oi anoaiiaeoe neiao??th aia?aaoe/ieo noai?a no?oeoo?ieo aeaiaio?a oa
e?enoae?a ?c a?aooaaiiyi ?o ?iaa??aioiino? aei ?iaa?n?? /ano.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a aeena?oaoe?eii? ?iaioe iieyaa?
a ianooiiiio:

1) a iaea?aeaii? oa iiai?e ?ioa?i?aoaoe?? niaeo??a eiia?iaoe?eiiai
?icn?yiiy na?oea oa ?io?a/a?aiiiai iiaeeiaiiy e?enoae?a aaenaaiiaeueiiai
eiaeaoo e?o?th, i??inee?eao?a eae?th ? e?o?th a oe?ieiio ?ioa?aae?
oaiia?aoo? oa aenieiai ?icae?eaiiy;

2) a iaea?aeaiiio aia?oa aiae?oe/iiio ?ica’yceo caaea/? i?i
ciaoiaeaeaiiy oi?i ii?iaeueieo eieeaaiue i??ai?aeaeueii? iieaeoee XY3,
?ii?a X2Y6, X2Y7, a oaeiae e?enoae?a ia ?o iniia?, ui aeyaeeiny
iiaeeeaei i?e canoinoaaii? oaoi?ee iia?aoi??a i?iaeooaaiiy;

3) o anoaiiaeaii? aeaio no?oeoo?ieo aiaio?iii?oieo oi?i a?aoee e?enoae?a
a-LiJO3. Cai?iiiiiaaia iiaeaeue no?oeoo?ii? ? aeaeo?iiii? i?e?iaee ?o
o??aeueiino?.

4) o aecia/aii? neiao??? aia?aaoe/ieo noai?a ?c a?aooaaiiyi ?o
?iaa??aioiino? aei ?iaa?n?? /ano oeyoii iiaoaeiae i?iaeoeaieo
i?aaenoaaeaiue a?oi neiao???;

5) o anoaiiaeaii? ca’yceo i?ae oa?aeoa?ii iioe/ieo aeanoeainoae
e?enoae?a oa iaaeaie canoinoaaiiy eaac?iieaeoey?iiai iaaeeaeaiiy aeey ?o
iiyniaiiy;

6) a ooi/iaii? i?inoi?iai? a?oie e?enoaeo K2Pb2Si2O7 ia iniia?
aeine?aeaeaiue niaeo??a E?N, ?io?a/a?aiiiai iiaeeiaiiy oa a?aeaeaaiiy
iiiie?enoae?/ieo c?ace?a;

E??i oiai, ia iniia? aiae?co eieeaaeueieo niaeo??a niaoe?aeueii
neioaciaaii? niieoee Li2Pb2Si2O7 c?iaeaii aeniiaie, ui oey niieoea ia ?
?cino?oeoo?iith aei i??inee?eao?a eoaeieo iaoae?a, oa cai?iiiiiaaii
iiaeeea? aa??aioe ?? no?oeoo?e.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a iieyaa? o canoinoaaii?
ia?oei?aieo iaoiae?a aeine?aeaeaiue i?e anoaiiaeaii? no?oeoo?ieo
iniaeeainoae e?enoae?a, iniaeeai o aeiaaeeao, eiee cae/aei?
aeeo?aeoe?ei? iaoiaee ia aeathoue iaeiicia/iiai ?acoeueoaoo. A iniiaiiio
?iaioa iineoue ooiaeaiaioaeueiee oa?aeoa?, cai?iiiiiaai? a i?e iaoiaee
iiaeia ? o?aaa ?icaeaaoe aeey a?eueo neeaaeieo no?oeoo?.

Iniaenoee aianie caeiaoaa/a iieyaa? o aeai?? iai?yieo ? ia’?eo?a
aeine?aeaeaiue, aeeiiaii? iniiaieo aenia?eiaio?a oa ?ic?aooie?a, a
oaeiae aiae?c? oa oai?aoe/iiio ocaaaeueiaii? ?acoeueoao?a i?iaaaeaieo
aeine?aeaeaiue.

Ai?iaaoe?y ?iaioe

Iaoa??aee aeena?oaoe?? aeiiia?aeaeenue ia iaoeiaeo eiioa?aioe?yo,
nai?ia?ao, oeieao:

· Fifteenth international conference on Raman spectroscopy, August
11-16, 1996, Pittsburgh, USA;

· International summer school on “Phonon in crystalline structures of
different dimensions”, Kyiv, 4-10 June, 1995;

· “Ciaeo?ineii?y iieaeoe ? e?enoae?a”, I?aeei, 1995, Noie, 1997; Iaeana,
1999;

· XIV-th International Conference on Raman Spectroscopy Hong Kong,
August 22-26,1994;

· “Iioeea e niaeo?ineiiey e eo i?eiaiaiea a ia?iaeiii oicyenoaa e
yeieiaee”, iao/ii-i?aeoe/aneee naieia?, 1992, a. Eaiaiaoe-Iiaeieueneee.

Ioae?eaoe??

Iniiai? ?acoeueoaoe ?iaioe a?aeia?aaeai? a /ioe?iaaeoeyoe ?iaioao,
o?noue c yeeo – noaoo? a iaoeiaeo aeo?iaeao oa aea? – aeaiiiiaai?
?oeiiene.

Ia’?i oa no?oeoo?a ?iaioe

Aeena?oaoe?y neeaaea?oueny ?c anooio, /ioe?ueio ?icae?e?a, aeniiae?a oa
nieneo aeei?enoaieo aeaea?ae, ui i?noeoue 116 iaeiaioaaiue. Iiaiee ianya
aeena?oaoe?? neeaaea? 147 noi??iie. Oaeno aeeeaaeaii ia 123 iaoeiiienieo
noi??ieao, aeena?oaoe?y i?noeoue 43 ?ethno?aoe?? ? 19 oaaeeoeue.

INIIAIEE CI?NO ?IAIOE

O anooi? iaa?oioiaaii aeooaeuei?noue oaie aeine?aeaeaiue, noi?ioeueiaaia
iaoa oa aecia/ai? eiie?aoi? caaea/? ?iaioe, iieacai? iiaecia oa
i?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a, aeeeaaeai? iieiaeaiiy, ui
aeiinyoueny ia caoeno, ei?ioei aecia/aii ci?no eiaeiiai ?icae?eo
aeena?oaoe??.

?icae?e ia?oee i?enay/aii iaeyaeo e?oa?aoo?e ca oaiith, a naia:
?icaeyioo? e?oa?aoo?i? aeai? c oi?i ii?iaeueieo eieeaaiue
i??ai?aeaeueieo iieaeoe oa no?oeoo?ieo aeaiaio?a ia ?o iniia?, no?oeoo?e
e?enoae?a a-LiJO3 oa iiia?aaei?o aeine?aeaeaiue oiiiiieo niaeo??a
aaenaaiiaeueii? iiaeeo?eaoe?? oeeo e?enoae?a; iaaeaia caaaeueia
oa?aeoa?enoeea no?oeoo?e oa eieeaaeueieo niaeo??a nee?eao?a.

Ia iniia? i?iaaaeaiiai aiae?co e?oa?aoo?ieo aeaea?ae anoaiiaeaii, ui
?nioth/? a e?oa?aoo?? oi?ie ii?iaeueieo eieeaaiue i??ai?aeaeueieo
iieaeoe OO3 oa a?eueo neeaaeieo no?oeoo?ieo ooai?aiue ia ?o iniia?
iathoue aeaye? iaoi/iino?, ye? aeieeathoue aiane?aeie iaaeio?eiaiiy
aeiia i?oiaiiaeueiino? aeanieo eieeaaeueieo ooieoe?e, ui ? e?i?eieie
eiia?iaoe?yie eieeaaeueieo (aeeiai?/ieo) neiao?eciaaieo eii?aeeiao aai
neiao?eciaaieo ci?uaiue – aacenieo aaeoi??a a i?inoi?? ci?uaiue, ui
ia?aoai?ththoueny ii iaca?aeiei i?aaenoaaeaiiyi a?oie neiao???.

Caaaeyee iniaeeainoyi e?enoae?/ii? no?oeoo?e, oi?eaeueiei o?ce/iei
aeanoeainoyi oa oe?ieiio canoinoaaiith a eaaioia?e aeaeo?ii?oe?
e?enoae?a a-LiJO3 a 70–80 ?ieao aoa ni?aaaei?e aoi ii ??ciinoi?iiiueiio
?o aeine?aeaeaiith. Aeineoue aeoeaii oeae e?enoae aeine?aeaeoaaany ? a
inoaii? aeanyoe??//y, aea c aeecueei 60 iioae?eiaaieo noaoae aaoi?o
a?aeiii o?eueee i?i aea?, i?enay/ai? oiiiiiei noaiai a eiaeao? e?o?th,
ui na?ae/eoue i?i oa, ui c oi/ee ci?o aeine?aeiee?a aiie aea/ai?
inoaoi/ii. Aea aeaye? ieoaiiy, ia iao iiaeyae, iio?aaothoue iiaeaeueoiai
?icaeoeo, a naia: (1) iio?aaothoue iiyniaiiy iaocaiaeaeaiiy a iien?
no?oeoo?e e?enoaeo a-LiJO3 oa yeei /eiii a??io?ii?y a iueiio ca’ycaia c
a?oiith JO3–; (2) caeeoeeeny iaaeine?aeaeaieie niaeo?e eiia?iaoe?eiiai
?icn?yiiy i?e oaiia?aoo?ao ieae/eo 5E; (3) caeeoeeeny iica oaaaith
niaeo?e ae?oaiai ii?yaeeo; (4) a oie /an ye aeineoue aeaoaeueii a oeeo
e?enoaeao aeine?aeaeai? aia?aaoe/i? niaeo?e iiey?eoiiieo noai?a ? ?o
aeenia?n?y iiaeeco oeaio?a ciie A??eoaia (CA), oai?aoe/i? ?ic?aooiee
aeenia?n?? aeaiaioa?ieo caoaeaeaiue ii an?e CA ia i?iaiaeeeenue, oae
naii ye ? ia a?aoiaoaaeanue ?iaa??aioi?noue aia?aaoe/ieo noai?a aei
?iaa?n?? /ano a oi/eao, ui ia eaaeaoue a ?? oeaio?? – oi/oe? A; (5) ia
i?eeoee iiia?aaei? aeine?aeieee aei ?aeeii? aeoiee uiaei i?aaii??iino?
?icaeyaeo oeeo e?enoae?a ye eaac?iieaeoey?ieo.

Eieeaaeuei? niaeo?e nee?eao?a oaeiae ? i?aaeiaoii iino?eii? oaaae
aeine?aeiee?a. Aea a?aenooi?noue e?enoae?/ieo c?ace?a aeinoaoi?o
?ici???a i?ecaaea aei oiai, ui oaeee aaaeeeaee iaoiae aeine?aeaeaiiy ye
eiia?iaoe?eia ?icn?yiiy na?oea aei oeueiai eeano iaoa??ae?a i?aeoe/ii ia
canoiniao?oueny. Ioaea iaei??th c caaea/ anaa?/iiai aea/aiiy nee?eao?a ?
neioac iiiie?enoae?/ieo c?ace?a c iiaeaeueoei aeine?aeaeaiiyi ?o
niaeo??a eiia?iaoe?eiiai ?icn?yiiy na?oea oa ?io?a/a?aiiiai iiaeeiaiiy
i?e ??cieo iiey?ecaoe?yo ? oaiia?aoo?ao. Ii-ae?oaa, ye aeaeii c iaeyaeo
e?oa?aoo?e, ?niothoue ?cino?oeoo?i? niieoee A2Pb2Si(Ge)2O7 (A=K, Rb,
Cs), aea a oeueiio ?yaeo a?aenooi?e e?o??aee i??inee?eao, oei a?eueo, ui
a oae?e oi?eaeueii oa?oaao?e no?oeoo?? iayai?noue eaaeiai, c iaeei
?aae?onii eao?iio Li+ iiaea a i?eaanoe aei noia??iiieo aeanoeainoae
e?enoaeo a iai?yieo ia?iaiaeeeoey?iiio iioe/i?e in?. C iaeyaeo ia oea
aoea iinoaaeaia caaea/a neioaco oa aeine?aeaeaiiy eieeaaeueieo niaeo??a
oaei? niieoee.

O ae?oaiio ?icae?e?, i?enay/aiiio caaaeuei?e iaoiaeeoe? oa iniiaiei
iaoiaeai aeine?aeaeaiue, ei?ioei iienai? iaoiaee oai?aoeei-a?oiiaiai
aiae?co ooiaeaiaioaeueieo eieeaaiue e?enoae?a. A oeueiio ae ?icae?e?
iaaaaeai? a?aeiiino? i?i aenia?eiaioaeueio onoaiiaeo oa oiiae
aenia?eiaioa.

Niaeo?e eiia?iaoe?eiiai ?icn?yiiy na?oea ?a?no?oaaeeny ca aeiiiiiaith
aaoiiaoeciaaiiai niaeo?aeueiiai eiiieaeno ia aac? iiaea?eiiai
iiiio?iiaoi?a AeON-24 oa IAAI. Aeey caoaeaeaiiy niaeo??a
aeei?enoiaoaaeenue Ar+ oa He-Ne iioe/i? eaaioia? aaia?aoi?e. Niaeo?e E?N
aeine?aeaeoaaeenue ye i?e e?iiaoi?e oaiia?aoo??, oae ? i?e aeeaieiio
ioieiaeaeaii? (aei 1,2E). Niaeo?e ?* iiaeeiaiiy ?a?no?oaaeenue ca
aeiiiiiaith ?* niaeo?iiao?a SPECORD M-80 i?e e?iiaoi?e oaiia?aoo??.

O?ao?e ?icae?e i?enay/aiee anoaiiaeaiith oi?i ii?iaeueieo eieeaaiue
i??ai?aeaeueieo no?oeoo?ieo aeaiaio?a oa aiae?co eieeaaeueieo niaeo??a
e?enoae?a eiaeaoo e?o?th oa i??inee?eao?a eae?th ? e?o?th.

A?aooaaiiy aeiiae i?oiaiiaeueiino? aeanieo eieeaaeueieo ooieoe?e i?e
ciaoiaeaeaii? oi?i ii?iaeueieo eieeaaiue i??ai?aeaeueii? iieaeoee XY3 c
neiao???th C3v aeicaieeei ciaeoe aiae?oe/iee ?ica’ycie oe??? caaea/?. C
oeueiai ?ica’yceo oaeiae aeo?ea? ia?ooii?noue aoiia X a
eaac?aeaoi?iaoe?eiiio ii?iaeueiiio eieeaaii?
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000000 (/anoioa oeueiai eieeaaiiy, yeui aaaaeaoe iacia/ieie ci?ie
i?oaeieo neeiaeo eiinoaio iieaeoee, i?aeoe/ii ia iiaeiia caeaaeaoe a?ae
iane aoiia X); ?oo aoii?a Y a oeueiio ae eaac?aeaoi?iaoe?eiiio
ii?iaeueiiio eieeaaii?
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??aiiaaaei? iieiaeaiiy aoii?a Y; iaiiaeeea?noue ?ooo aoii?a Y a
ii?iaeueieo eieeaaiiyo ?c cnoaii oac ii a?aeiioaiith iaeei aei iaeiiai
ia
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Aeey a?eueo neeaaeieo ?ii?a X2Y6 ? X2Y7 c neiao???th
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oi?ie ii?iaeueieo eieeaaiue iaae?iaeaeaieo eieeaaiue i?aeoe/ii
ni?aiaaeathoue c iaaaaeaieie a e?oa?aoo??, a oie /an ye aeey oi?i
ae?iaeaeaieo eieeaaiue (?en.1) oe? ?ica?aeiino? iinyoue i?eioeeiiaee
oa?aeoa?.

Iniiaieie a?aei?iiinoyie iaea?aeaieo oi?i ii?iaeueieo eieeaaiue iieaeoe
? ?ii?a X2Y6 ? X2Y7 c neiao???th
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a?ae iaaaaeaieo ?ai?oa aeey aoaiiiiae?aii? iieaeoee X2Y6 a
aeia?aeeiaiio aeaeaii? [1] ?: (1) oaeoe/ia iaeiicia/i?noue; (2)
iayai?noue ci?uaiue aoiia O ii in? Oz a eaac?aaeaioiiio eieeaaii?
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000000F0010000040000002701FFFF030000000000 (n1(A1g) a [1]), ui
caaacia/othoue i?oiaiiaeuei?noue iiaee
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000000F0010000040000002701FFFF030000000000 ?
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000000F0010000040000002701FFFF030000000000; (3) iaia’yceiaa iayai?noue
ci?uaiue aoii?a O a i?ioeeaaei? noi?iie acaeiaae inae Ox aai Oy, ye?
iaeii/anii ? ??aiii?aaii aoiaeyoue a o? ae nai? neiao?eciaai? ci?uaiiy,
o an?o eieeaaeueieo neiao??? A+ (oi?ie eieeaaiue neiao??? A+ a [1] ia
caaeiaieueiythoue oe?e aeiic? ? aai ia i?noyoue ci?uaiue aoii?a O, ye
iiaea n11(Ag), aai i?noyoue ci?uaiiy oeeo aoii?a a ia?iaiaeeeoey?ieo, ui
iaiiaeeeai, iai?yieao, ye a iiaeao n10(Ag) ? n12(Ag), (4) eiia?iaoe??
ci?uaiue aoii?a Y a iiaeao neiao??? A+ a?aeiia?aeathoue eiia?iaoe?yi
ci?uaiue aoii?a Y aeey iiae A a ?cieueiaai?e i??ai?aeoe? OY3 ? cian?i
a?aei?ii? a?ae eiia?iaoe?e ci?uaiue oeeo aoii?a aeey iiae neiao??? A+ a
[1]: ia?o ca ana, ci?uaiiy aoii?a Y iaio i??ai?aeie XY3 aeey oeeo iiae
a?aeaoaa?oueny a oacao, a oe?eiio, i?ioeeaaeieo aeacaiei a [1], a
eiia?iaoe?? oeeo ci?uaiue aeey oaeeo iiae a [1] aai iaiiaeeea?, ye
eiia?iaoe?y ci?uaiue a iiae? n11(Ag), aai, ui a?aeiineoueny aei an?o
iiae neiao??? A+ a [1], i?noyoue a nia? o?aaiaioe neiao?eciaaieo
ci?uaiue ?ioi? neiao??? – A–; (5) iaia’yceiaa iayai?noue ci?uaiue aoii?a
O a iaeio e oo ae noi?iio acaeiaae inae Io ? Io, ye? iaeii/anii ?
??aiii?aaii aoiaeyoue a o? ae nai? neiao?eciaai? ci?uaiiy, o an?o
eieeaaeueieo neiao??? A– oi?ie eieeaaiue neiao??? A– a [1] ia
caaeiaieueiythoue oe?e aeiic? ? aai ia i?noyoue ci?uaiue aoii?a O, ye
iiaea n8(Au), aai i?noyoue ci?uaiiy oeeo aoii?a a i?ioeeaaei? noi?iie,
ye a iiaeao n7(Au) ? n9(Au), ui ai/aaeaeue iaiiaeeeai, ine?eueee
neiao???th A– iienothoueny aeaie?aoii ae?iaeaeai? neiao?eciaai? ci?uaiiy
neiao??? A, ye? eiiieaeoothoueny c oeeo naieo ci?uaiue ? ye? aoiaeyoue
aei neeaaeo aeaie?aoii ae?iaeaeaiiai o?aineyoe?eiiai iaaeaniiai
eieeaaiiy
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002701FFFF030000000000 ?
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002701FFFF030000000000, ye? a?aeiia?aeathoue ci?uaiith an??? iieaeoee
acaeiaae inae Io ? Io, ?, ia?aoo?, (6) eiia?iaoe?? ci?uaiue aoii?a Y a
iiaeao neiao??? A– a?aeiia?aeathoue eiia?iaoe?yi ci?uaiue aoii?a Y aeey
iiae A a ?cieueiaai?e i??ai?aeoe? XY3- ? cian?i a?aei?ii? a?ae
eiia?iaoe?e ci?uaiue oeeo aoii?a aeey iiae neiao??? A– a [1] (ia?o ca
ana, ye ? aeey aeiaaeeo iiae A+, ci?uaiiy aoii?a Y a iaio i??ai?aeeao
XY3 aeey oeeo iiae a?aeaoaa?oueny a oacao, a oe?eiio, i?ioeeaaeieo
aeacaiei a [1], a eiia?iaoe?? oeeo ci?uaiue aeey oaeeo iiae a [1] aai
iaiiaeeea?, ye eiia?iaoe?y ci?uaiue a iiae? n8(Au), aai, ui
a?aeiineoueny aei an?o iiae neiao??? A– a [1], i?noyoue a nia? o?aaiaioe
neiao?eciaaieo ci?uaiue ?ioi? neiao??? – neiao??? A+.

Aiae?c eieeaaiue ?iiiiai e?enoaea a-LiJO3 i?iaiaeeany ?c canoinoaaiiyi
eaac?iieaeoey?iiai i?aeoiaeo, i?e yeiio a aeaiaioa?i?e eii??oe? e?enoaeo
aeae?eythoueny aeaa neeueii ca’ycai? iieaeoey?i? no?oeoo?i? ooai?aiiy –
aeaa ?iie (JO3), ca’ycee ana?aaeai? yeeo neeuei?o? ca ?o ca’ycee c
?iiaie Li+ oa cia/ii neeuei?o? ca’yce?a eaac?iieaeoey?ieo ooai?aiue
LiJO3 iaeei c iaeiei. ?icae?eaiiy ca’yce?a ia neeuei? oa neaae? a
a?aooe? a-LiJO3 a oaeiio iaoiae? aeicaiey? aecia/eoe iaaeeaeai? oi?ie
ii?iaeueieo eieeaaiue, ia iniia? yeeo ? i?iaiaeeoueny ?ioa?i?aoaoe?y
oiiiiiiai niaeo?a. Oe?eaai a?aei?oeoe, ui aeey e?enoaea a–LiJO3 i?e
oaeiio i?aeoiae? a?ae?aco iaea?aeaii ae?ace aeey aeaaeae?anueeeo
aeoaeao?a, iai?eeeaae (A1)1—(A2)1, (A1)2—(A2)2 ? oae aeae? aeey ia?
eieeaaiue. A?ao?/ii oi?ie ii?iaeueieo eieeaaiue e?enoaea eiaeaoa e?o?th
iaaaaeai? ia ?en. 2.

Niaeo? eiia?iaoe?eiiai ?icn?yiiy e?enoaea a-LiJO3 oaeiae aeaiiino?o?
aeia?a ocaiaeaeaiiy canoinoaaiiy eaac?iieaeoey?iiai i?aeoiaeo aeey
?ioa?i?aoaoe?? aenia?eiaioaeueieo ?acoeueoao?a: niaeo? ia? /?oei
a?aeie?aieai? o?e iaeano?, a yeeo a?oiothoueny e?i??. Aeniei/anoioia
iaeanoue, a?aeie?aieaia a?ae ?ioeo ?ioa?aaeii aeecueei 300ni–1,
i?aaenoaaeaia nioaaie, ui iaoiiaeai? eaac?aaeaioieie eieeaaiiyie a?oi
(JO3)–. A na?aaeiueioaeeueiaiio ae?aiacii? niaeo?o iathoue aooe
i?aaenoaaeai? eaac?aeaoi?iaoe?ei? iiaee a?oi (JO3)–. Niaeo? iaeeo /anoio
iaeaaeeoue ciai?oi?i eieeaaiiyi – o?aineyoe?yi oa e?a?aoe?yi a?oi (JO3)–
oa eao?ii?a Li+. A?aeiia?aei?noue /anoio iaaiei oi?iai ii?iaeueieo
eieeaaiue a?aoee e?enoaea iieacaia ia ?en.2.

A iaeyae? e?oa?aoo?e aoei anoaiiaeaii, ui noaa?eueia aaenaaiiaeueia
a-oaca ?nio? i?eiaei? aei oaiia?aoo?e 5E: a niaeo?ao i?aaenoaaeai?
e?i??, ia?aaeaa/ai? oai?aoeei-a?oiiaei aiae?cii, i?e cieaeaii?
oaiia?aoo?e cnoae /anoio eieeaaiue iathoue e?i?eiee oa?aeoa?. Aea iai
caeaaaeiny, ui aac aiae?co niaeo??a E?N i?e aeeaieiio ioieiaeaeaii? (aei
oaiia?aoo?e ??aeeiai aae?th), caaaeueia ea?oeia oaiia?aoo?ii? iiaaae?iee
niaeo??a caeeoa?oueny iaiiaiith.

Ia ?en.3 a aeaio iiey?ecaoe?yo iieacai? niaeo?e E?N e?enoaea a-LiJO3 i?e
e?iiaoi?e oaiia?aoo?? oa i?ney ioieiaeaeaiiy c?acea aei 1,4E. C oeeo
?enoie?a aeaeii, ui aeey aeayeeo e?i?e niaeo?a c’yaeythoueny iaai?
iniaeeaino?. A iecueei/anoioi?e ae?eyioe? niaeo?o e?i?y 170,5 ni–1 (A2)
?icuaieth?oueny ia aea? – 177 ? 182 ni–1, a oe?iea nioaa neiao??? A1
(231 ni–1) noa? ca oi?iith ? ii ?ioaineaiino? c??aiyiith c ?ioith
e?i??th oe??? ae neiao??? – 157,2 ni–1 (143,4 ni–1 i?e 300E). A iaeano?
na?aaei?o /anoio niaeo?o (300–470 ni–1) i?e e?iiaoi?e oaiia?aoo??
niinoa??aathoueny aea? e?i?? neiao??? A1 (355 ? 456 ni–1) ? iaeia e?i?y
neiao??? A2 (328,5 ni–1). I?e aeeaieiio ioieiaeaeaii? ie ca?a?no?oaaee
ia aea? e?i?? a?eueoa: 332, 339, 346, 360 (c iecueei/anoioiei iea/ai
~355ni–1) oa 456ni–1. O aeniei/anoioi?e iaeano? niaeo?o iiaeo e?i?e ia
ca?a?no?iaaii. Iaea?eueoee /anoioiee cnoa niinoa??aa?oueny a
iecueei/anoioi?e iaeano? (aei 12 ni–1 a noi?iio ca?eueoaiiy /anoio),
/anoioe eaac?aeaoi?iaoe?eieo eieeaaiue c?inoathoue ia 4–6 ni–1, a o
aeniei/anoioi?e iaeano? /anoioe eieeaaiue ciaioothoueny ia a?eueoa, i?ae
ia 2 ni–1. E?euee?noue ca?a?no?iaaieo e?i?e oi/ii a?aeiia?aea?
e?eueeino?, ia?aaeaa/ai?e oai?aoeei-a?oiiaei aiae?cii, ui na?ae/eoue i?i
caa?aaeaiiy a-oace ? i?e oaiia?aoo?? 1.4E.

Ia iniia? aeaoaeueiiai aiae?co no?oeoo?e ciaeaeai? aea? aiaio?iii?oi?
oi?ie a?aoee e?enoae?a a-LiJO3 – aiie iaaaaeai? ia ?en.4.

C ?icaeyaeo no?oeoo?e e?enoae?/ieo aiaio?ii???a a-LiJO3 aeaeii, ui
iayai?noue i?e?iaeii? iioe/ii? aeoeaiino? a oeeo e?enoaeao
coiiaeth?oueny o??aeueiei ?icoaooaaiiyi a e?enoae?/ieo a?aoeao
no?oeoo?ieo a?oi – ?ii?a (JO3)–. Ia ?en.5 a aeaio i?iaeoe?yo cia?aaeaii
no?oeoo?o iniiaiiai o??aeueiiai aeaiaioa e?enoae?/ii? a?aoee i?aai?
aiaio?iii?oii? iiaeeo?eaoe?? a-LiJO3. Iei ? eiaeii-eeniaaee iie?aae? JO6
– niioai?aiee eeniaaee ieoaaae?, ana?aaeei? yeiai ?icoaoiaaiee aoii
eiaeo. O?e aoiia eenith aa?oiueiai a iai?yieo in? OZ oa?o oeueiai
iie?aae?a iiaa?ioo? ia cia/iee eoo a?aeiinii o?ueio iaeaeeae/eo aei
aoiia eiaeo aoii?a eenith eiai ieaeiueiai oa?o. Oaeee o??aeueiee aeaiaio
iiaa?oa?oueny ia eoo p a ianooiiiio acaeiaae in? OZ oa?? e?enoaea ? eiai
iiaeia iaea?aeaoe c iiia?aaeiueiai i?e ae?? iia?aoe?e 63 aai 21. I?e
oeueiio aeaeo?iii? oia?ee, ui ioi/othoue aoiie eenith, iiaeia aaaaeaoe
ye ooai?ai? c aeaio /anoei, ye? ?icoaoiaai? aeua oa ieae/a ieiueie, ui
i?noeoue oeaio?e aoii?a eenith iaeiiai oa?o. Oe? /anoeie aeaeo?iiieo
oia?ie iiaeia ?icaeyaeaoe ye oae?, ui aoiaeyoue a neeaae aeaio ??cieo,
non?aei?o ca ?icoaooaaiiyi acaeiaae in? OZ, o??aeueieo aeaiaio?a.
Oyaeaiiy i?i o??aeueiee aeaiaio a?aoee aoaea a?eueo iiaiei, yeui aei
aoii?a ?icaeyiooiai iie?aae?a aeiaeaoe ua 6 aoii?a eenith – 3
iaeaeeae/eo aei aoiia eiaeo, ie??i a?aoiaaieo a iie?aae?? JO6, aoii?a
eenith c ?o aa?oiueiai oa?o oa 3 iaeaeeae/eo aei aoiia eiaeo, oaeiae
ie??i aaea a?aoiaaieo, aoiie eenith c ?o ieaeiueiai oa?o.

Oa?oaaoee e?enoae i??inee?eaoo eae?th (K2Pb2Si2O7) ia? aeoaea oe?eaao
no?oeoo?o: oeaio?ineiao?e/i? ?aaeeeaee Si2O7 ?icoaoiaai? ia?aeaeueii
iaeei iaeiiio ? oo?eiothoueny a oa?ao ca aeiiiiiaith Pb–O ca’yce?a, a
oe? oa?ia? iaeaoe oo?eiothoueny a a?aooe? o?eueee ca ?aooiie iayaiino?
neaaeica?yaeaeaieo ?ii?a aaeeeiai ?aae?ono E+. A aeaiaioa?i?e eii??oe?
?ae?/o?oueny iaeia oi?ioeueia iaeeieoey. I?e anoaiiaeaii? i?inoi?iai?
a?oie e?enoaea i??inee?eaoo eae?th a iiia?aaei?o ?iaioao ?c o?ueio
iiaeeeaeo a?oi
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616E00007C040000002D01020004000000F001010009000000320AA001AE010100000033
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0010000000FB021000070000000000BC02000000CC0102022253797374656D00CC040000
002D01020004000000F0010100040000002701FFFF030000000000 ia?aaaaa aoea
a?aeaeaia naia ia?o?e, ine?eueee, ia aeoieo aaoi??a, eiaeia no?oeoo?a c
inoaii?o aeaio a?oi iiaea aooe ?aae?ciaaia a i?inoi?ia?e a?oi?
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00050000000C02E001C002050000000B02000000000E00000026060F001200FFFFFFFF00
0008000000C0FFB2FF800292010B00000026060F000C004D617468547970650000200009
000000FA02000010000000000000002200040000002D0100000500000014025600980105
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6931320000040000002D01010009000000320AA0014000010000005000050115000000FB
0260FE0000000000009001000000000002001054696D6573204E657720526F6D616E0000
7C040000002D01020004000000F001010009000000320AA001AE01010000003300D0000A
00000026060F000A00FFFFFFFF01000000000010000000FB021000070000000000BC0200
0000CC0102022253797374656D00CC040000002D01010004000000F00102000400000027
01FFFF030000000000. Aea aeaoaeueiee aiae?c ?aioaaiino?oeoo?ieo aeaieo oa
a?ao?e?a oeeo a?oi [2] noaaeoue oaeee aeniiaie i?ae noii?a – o?eueee a
a?oi?
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00050000000C02A0020009050000000B02000000000E00000026060F001200FFFFFFFF00
0008000000C0FFB3FFC00853020B00000026060F000C004D617468547970650000600009
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002000680015000000FB0260FE0000000000009001000000000002001054696D6573204E
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00 aeey eii?aeeiao e?ioeaaeo aoii?a eenith aeeiio?oueny
aenia?eiaioaeueii aecia/aia ni?aa?aeiioaiiy o=2o. Inoaoi/ii a?aeiia?aeue
ia oea ieoaiiy iiaeia iaea?aeaoe, aiae?coth/e ?iciiae?e eieeaaiue ca
oeiaie neiao??? oa ni?anoaaeyth/e ?o c aenia?eiaioaeueieie niaeo?aie.
I?e e?iiaoi?e oaiia?aoo?? a niaeo?? ii?ioeo aoei ca?a?no?iaaii 9 nioa,
iiiie?enoae?/i? c?acee aeathoue a niaeo?? oaeiae 9 nioa, aea aea? c ieo
– aneiao?e/i?, eiaeia c yeeo ?iceeaaea?oueny ia neeaaeia? (134–138 ni–1
? 674–685 ni–1). I?e cieaeaii? oaiia?aoo?e aei 1.4 E oe? e?i?? /?oei
?icae?eythoueny. Naia 11 nioa iiaeiii niinoa??aaoenue o niaeo??, yeui
e?enoae ia? neiao??th
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02E0FE00000000000090010000000000020020636D6D6931320000040000002D01020004
000000F001010009000000320A48027E07010000006400920015000000FB0260FE000000
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01010004000000F001020009000000320AE0019901010000003300D00009000000320AE0
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00FB0260FE0000000000009001000000CC0002001054696D6573204E657720526F6D616E
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002000680015000000FB0260FE0000000000009001000000000002001054696D6573204E
657720526F6D616E00007C040000002D01020004000000F001010009000000320AE00112
050100000028008B0009000000320AE0013D080100000029008B000A00000026060F000A
00FFFFFFFF01000000000010000000FB021000070000000000BC02000000CC0102022253
797374656D00CC040000002D01010004000000F0010200040000002701FFFF0300000000
00.

Ia ?en.6 iaaaaeai? niaeo?e E?N iiiie?enoae?a K2Pb2Si2O7 i?e e?iiaoi?e
oaiia?aoo?? oa oaiia?aoo?? ??aeeiai aae?th a ii??aiyii? c a?aeiiei
niaeo?ii ii?ioeo. Aeey oeeo niaeo??a, ye ? o aeiaaeeo e?enoaea eiaeaoo
e?o?th, ? oa?aeoa?iei a?oioaaiiy e?i?e a iaaieo ae?eyieao niaeo?o.
Aeniei/anoioia e?i?y neiao??? A+ aeaiiino?o? neeaaeiee eiioo?, aea
/?oeiai ?? ?icae?eaiiy ia eiiiiiaioe i?e cieaeaii? oaiia?aoo?e ia
a?aeaoeiny. A na?aaeiuei/anoioi?e ae?eyioe? niaeo?o e?i?y c /anoioith
675 ni–1 niinoa??aa?oueny o an?o iiey?ecaoe?yo, aea ie a?aeianee ?? aei
eieeaaiue neiao??? A+ ia iniia? ia?aaaaeii? iiey?ecaoe??. Ii?o/ c iath
ca?a?no?iaaia e?i?y c /anoioith 687 ni–1, yea ia? neiao??th A+. Ianooiia
a?oia c o?ueio e?i?e ioioiaeith?oueny c aeaoi?iaoe?eieie eieeaaiiyie
Si2O76–. O a?aeiia?aeiino? c oai?aoeei-a?oiiaith eeaneo?eaoe??th aea? c
oeeo e?i?e iiaeii? a?aeiineoenue aei A+, a o?aoy – aei A+. Aiae?c
?ioaineaiinoae oeeo e?i?e, ca?a?no?iaaieo a ??cieo iiey?ecaoe?yo,
aeicaieea a?aeianoe na?aaeith c ieo aei neiao??? A+, a aea? e?aei? – aei
A+. A iaea?eueo iecueei/anoioi?e iaeano? niaeo?o ?icoaoiaai? e?i??
ciai?oi?o eieeaaiue a?oie Si2O76–. A oe?e ae?eyioe? niaeo?a
ca?a?no?iaaii 6 nioa (ia aea? a?eueoa, i?ae a niaeo?? ii?ioeo).
?ioaineai?noue e?i?? 222 ni–1 i?aeoe/ii ia caeaaeeoue a?ae
iiey?ecaoe?eii? aaiiao???, oiio ie ia iaaaaeeeenue a?aeianoe ?? aei
yei?nue neiao??? iaa?oue iaaeeaeaii. Iiia?aaei? aeine?aeieee
ioioiaeiththoue ?? aai c ?ioaoe?yie ai?iia Si2O76–, aai c? ci?oaiith
?ioaoe?eii-o?aineyoe?eiith iiaeith. I?e aeei?enoaii? aeey ?ioa?i?aoaoe??
niaeo?a oeiiai? eaac?iieaeoey?ii? iiaeae? (?cieueiaaia a?oia Si2O76– a
ioi/aii? eao?ii?a E+ ? Pb2+) e?i?th 141 ni–1 ni?aaa?aeiineee c
o?aineyoe?eieie ?ooaie eao?iia E+ – ?? neiao??y A+. ?icoaoiaaia iiaeeco
ia? iiaa e?i?y 131 ni–1 ia? i?noea o?eueee i?e iecueeeo oaiia?aoo?ao ?
oaae ia? neiao??th A+. Ianooiia e?i?y oe??? ae neiao??? ia? /anoioo 104
ni–1 ? iia’ycoaaeanue c o?aineyoe?yie naeioeth. Ua iaeia iiaa e?i?y 99.5
ni–1 a?aeiineoueny aei A+. Iaea?eueo iecueei/anoioia e?i?y 57 ni–1 a
iecueeioaiia?aoo?iiio niaeo?? iaea?eueo ?ioaineaia. Aiia iia’yco?oueny
?c ci?uaiiyie naeioeth, a ca nai?ie iiey?ecaoe?eieie aeanoeainoyie iiaea
aooe a?aeianaia aei A+.

One?eueee aeine?aeaeaiiy niaeo??a E? iiiie?enoaea aeyaeeiny aeineoue
ie?aeiei, iaie aaaaeaeiny ca iaiao?aeia aea/aiiy ?* niaeo??a iiaeeiaiiy
iiiie?enoae?/ieo c?ace?a. Ia iaio oe?eaaei iai aaaaeaeiny iaea?aeaoe ?
aeine?aeeoe e?enoaee, a yeeo aoa ae cai?iaiee eao?ii E+ ia a?eueo eaaeee
? ?ooeeaee Li+.

Ia ?en.7,a iaaaaeaiee niaeo? ?* iiaeeiaiiy K2Pb2Si2O7 (ii?ioie o
aacae?iia?e ie??). A iniiaiiio a?i ia a?ae??ciy?oueny a?ae niaeo?a,
iaea?aeaiiai a [3], ca aeeeth/aiiyi ae?aaeaiiai iea/a ~875 ni–1 oa
neaaeiae?aaeaiiai aeoaeaoiiai oa?aeoa?o nioa 916 ? 414 ni–1. Ia ?en.7,a
cia?aaeaiee niaeo? iiaeeiaiiy iiiie?enoae?/iei c?aceii, yeee aeaiiino?o?
aeoaea aaaaoee niaeo? ae?oaiai ii?yaeeo. Iayai?noue nioa iiaeeiaiiy a
?ioa?aae? /anoio 1670 – 1590 ni–1 oaeiae iiaea aooe e?eoa???i
anoaiiaeaiiy iayaiino? e?enoaeia?ae?aoii? aiaee a nee?eaoao (naia a oe?e
ae?eyioe? niaeo?a i?iyaeythoueny aeaoi?iaoe?eia eieeaaiiy dI2I). A oe?e
iaeano? niaeo?a ?ioaineai? nioae iiaeeiaiiy ia niinoa??aathoueny, ui
na?ae/eoue i?i a?aenooi?noue e?enoaeia?ae?aoii? aiaee.

Ia aeaeue, neeueia iiaeeiaiiy a ae?eyioe? aaeaioieo eieeaaiue Si–O ia
aeicaieeei aeine?aeeoe no?oeoo?o nioae 916 ni–1. Oiio aoa aeine?aeaeaiee
niaeo? ?* a?aeaeaaiiy, yeee i?aaenoaaeaiee ia ?en.8. sse aeaeii c
oeueiai ?enoiea, a niaeo?? ?* a?aeaeaaiiy a?ae ieiueie niaeiino?
i?iyaeeeny iaea?eueo ?ioaineai? nioae, a iae?ioaineai?oa c ieo ia? aeaa
ae?acieo iaeneioie – 916 ? 928 ni–1 ? iea/a ~970 ni–1, i?e/iio
?ioaineai?noue a oi/oe? 928 ni–1 aeaui aeua, i?ae a oi/oe? c iaioith
/anoioith. A niaeo?? iiaeeiaiiy c?acea, yeee aeaioiaeyany o aeaeyae?
ii?ioeo a aacae?iia?e ie??, aea aeia?euei? i???ioaoe?? ie?aieo
iiiie?enoaeee?a ??aiioe?ii?, ni?aa?aeiioaiiy ?ioaineaiinoae eiiiiiaio
no?oeoo?e ci?ith?oueny ia cai?ioia. Iiaeia i?eionoeoe, ui /anoioa 928
ni–1 iiaea a?aeiia?aeaoe eieeaaiith neiao??? A–, i?e yeiio aeeiieueiee
iiiaio ci?ith?oueny a ieiuei? oa?o, a /anoioa 916ni–1 iiaea aooe
i?eienaia eieeaaiith A–.

E?enoaee Li2Pb2Si2O7 aoee neioaciaai? aia?oa, ? aecia/aiiy ?o no?oeoo?e
iaoiaeaie ?aioaaii-no?oeoo?iiai aiae?co aeyaeeinue aeineoue neeaaeiith
caaea/ath. Aea aeaye? iiia?aaei? i?eiouaiiy uiaei ?o no?oeoo?e iiaeia
c?iaeoe c aiae?co eieeaaeueieo niaeo??a. sse aeaeii c ?en.9 niaeo? ?*
iiaeeiaiiy oe??? niieoee iiae?ey?oueny ia o?e /anoeie: n?i nioa a
ae?eyioe? 800–1200 ni–1, /ioe?e nioae a iaaeao 600–800 ni–1 ? i’youe
nioa a iaeano? 300– 600 ni–1. sse aoei iieacaii a [4] a ?ioa?aae?
900–1100 ni–1 eaaeaoue aaeaioi? eieeaaiiy S?–O oa “aioeneiao?e/i?”
eieeaaiiy i?noi/ea S?–O–S? (nas SiOSi); “neiao?e/i?” eieeaaiiy S?–O–S?
(na SiOSi) eaaeaoue a iaaeao 550–800 ni–1, i?e/iio eieeaaiiy na SiOSi ?
caai?iiaiei a ?* niaeo?? o aeiaaeeo oeaio?ineiao?e/iino? a?oie Si2O7;
nioae a iaaeao 550–300 ni–1 i?eeiyoi aaaaeaoe oa?aeoa?ieie aeey
aeaoi?iaoe?eieo eieeaaiue a?oi SiO3 oa eieeaaiue ca’yce?a
“eenaiue–eao?ii”.

Aeoaeaoiee oa?aeoa? nioa aaeaioieo eieeaaiue S?–O na?ae/eoue i?i cia/ia
cieaeaiiy neiao??? e?enoaeo (a ii??aiyii? c e?enoaeii i??inee?eaoo
eae?th), i?eiaei?, ieae/a
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00000032000A00000026060F000A00FFFFFFFF01000000000010000000FB021000070000
000000BC02000000CC0102022253797374656D00CC040000002D01010004000000F00100
00040000002701FFFF030000000000, oa i?i oa, ui e?euee?noue
e?aii?e-eeniaaeo ?ii?a a aeaiaioa?i?e eii??oe? ia iaioa aeaio. I?iya o
niaeo?? eieeaaiue ns SiOSi aeaco? ia oa, ui, yeui a e?enoae? ?niothoue
a?oie Si2O7, oi aiie ? iaoeaio?ineiao?e/ieie. Aea oa, ui a oe?e
ae?eyioe? niaeo?o niinoa??aa?oueny ia iaeia nioaa, i?eionea?
iiaeeea?noue ?nioaaiiy a no?oeoo?? a?eueo, i?ae iaeiiai ni?oo i??i?ii?a.
Ia ei?enoue oaeiai i?eiouaiiy na?ae/eoue ii??aiyiiy iaea?aeaiiai niaeo?a
c? niaeo?ii iaoanee?eaoo e?o?th (?en.9), iniiaiei no?oeoo?iei aeaiaioii
yeiai ? a?oia [Si2O6], a a aeaiaioa?i?e eii??oe? i?noyoueny 4 oi?ioeuei?
iaeeieoe? [5]. I?eiouaiiy, ui a aeaiiio aeiaaeeo ie ia?ii ia
iiiie?enoae?/iee c?acie, a noi?o aeaio noaeie – e?o??aiai oa naeioeaaiai
– oaeiae ia? i?aai ia ?nioaaiiy.

O /aoaa?oiio ?icae?e? ?icaeyaea?oueny neiao??y aia?aaoe/ieo noai?a c
o?aooaaiiyi ?iaa??aioiino? aei ?iaa?n?? /ano oa aeenia?n?y oiiiiieo
a?oie a e?enoaeao a-LiJO3.

Oai?aoe/i? ?ic?aooiee aeenia?n?? aeaiaioa?ieo caoaeaeaiue ii an?e cii?
A??eoaia a e?enoae? eiaeaoo e?o?th ?ai?oa ia i?iaiaeeeenue, oae naii ye
? ia a?aoiaoaaeanue ?iaa??aioi?noue aia?aaoe/ieo noai?a aei ?iaa?n??
/ano a oi/eao, ui ia eaaeaoue a ?? oeaio??, oi/oe? A. Aeey c’ynoaaiiy
oeeo ieoaiue a aeena?oaoe?? aia?oa aeey e?enoae?a a-LiJO3 aeei?enoaiee
iaoiae iiaoaeiae iaca?aeieo i?iaeoeaieo i?aaenoaaeaiue a?oi oaeeueiaeo
aaeoi??a, yeee aeicaiey? a?aooaaoe ?iaa??aioi?noue aia?aaoe/ieo noai?a
aei ?iaa?n?? /ano, aaanoe ?o eeaneo?eaoe?th a aaeee?e cii? (cii?
Aeaeiina) ? c?iaeoe ye?ni? aeniiaee i?i aeenia?n?th oiiiiieo noai?a, yea
iiaea, cie?aia, aooe aeine?aeaeaia aenia?eiaioaeueii i?e aei??thaai-i? a
oeeo e?enoaeao E? na?oea ae?oaiai ii?yaeeo. Ia ?en.10 noaiaoe/ii
i?aaenoaaeaii e?ea? aeenia?n?? oiiiiieo noai?a a aaeee?e cii? e?enoaea
a–LiJO3, aea /anoioe iaeiioiiiiieo noai?a acyoi ?c niaeo??a E? ia?oiai
ii?yaeeo, aei??yieo i?e e?iiaoi?e oaiia?aoo??, a iieiaeaiiy e?eaeo
aeenia?n??, ui a?aeiia?aeathoue oi/oe? A, – ?c niaeo??a E? ae?oaiai
ii?yaeeo.

Aeniiaee

1. ?c canoinoaaiiyi oai?aoeei-a?oiiaiai iaoiaeo iia?aoi??a i?iaeooaaiiy
aiae?oe/ii ?ica’ycaii caaea/o i?i ciaoiaeaeaiiy oi?i ii?iaeueieo
eieeaaiue i??ai?aeaeueii? iieaeoee XY3 oa ?ii?a X2Y6, X2Y7.

2. Aeine?aeaeaii eiia?iaoe?eia ?icn?yiiy na?oea a e?enoaeao a-LiJO3.
Iieacaii, ui aeeiai?ea a?aoee oeeo e?enoae?a iiaea ?icaeyaeaoenue a
eaac?iieaeoey?iiio iaaeeaeaii?.

3. Anoaiiaeaii, ui aaenaaiiaeueia no?oeoo?ia a-iiaeeo?eaoe?y e?enoaea
a-LiJO3 caa??aa?oueny aei oaiia?aoo?e 1.4E.

4. Aeine?aeaeaii no?oeoo?iee aiaio?iii?o?ci a e?enoaeao a-LiJO3 oa
no?oeoo?io ? aeaeo?iiio i?e?iaeo ?o o??aeueiino?. Iieacaii, ui yaeua
i?e?iaeii? iioe/ii? aeoeaiino? ia iiaea aooe iiyniaiei a iaaeao
eaac?iieaeoey?iiai i?aeoiaeo.

5. Iaaeaii eeaneo?eaoe?th aia?aaoe/ieo noai?a e?enoae?a a-LiJO3 o
aaeee?e cii? (cii? Aeaeiina), aaaaeaiiy yei? aeicaiey? aecia/eoe
aeenia?n?th oiiiiieo noai?a a iai?yieo A–A ciie A??eoaia ?, cie?aia,
iaaeaoe ?ioa?i?aoaoe?th aenia?eiaioaeueii ca?a?no?iaaiei niaeo?ai E?N
ae?oaiai ii?yaeeo.

6. Aia?oa aeine?aeaeai? niaeo?e E?N, ?io?a/a?aiiiai iiaeeiaiiy oa
a?aeaeaaiiy iiiie?enoae?a K2Pb2Si2O7. Ia iniia? eiiieaenieo
aeine?aeaeaiue ooi/iaia i?inoi?iaa a?oia e?enoaeo – D3d3, a ia C3i1 ye
oea aaaaeaeiny ?ai?oa.

7. Aeine?aeaeaii niaoe?aeueii neioaciaaio niieoeo Li2Pb2Si2O7. Ia
iniia? aiae?co eieeaaeueieo niaeo??a c?iaeaii aeniiaie, ui oey niieoea
ia ? ?cino?oeoo?iith aei i??inee?eao?a eoaeieo iaoae?a, oa cai?iiiiiaaii
iiaeeea? aa??aioe ?? no?oeoo?e.

Nienie oeeoiaaii? e?oa?aoo?e

1. Iaeaiioi E. EE niaeo?u e niaeo?u E? iai?aaie/aneeo e
eii?aeeiaoeeiiiuo niaaeeiaiee. Ia?. n aiae. – I.: Ie?, 1991

2. International Tables for Crystallography. Vol.A. Space-Group
Symmetry. – Dordrecht: Rluwer Academic Publishers, 1995

3. Tarte P., Pottier M.J., Proces A.M. Vibrational studies of silicates
and germanates.- V.I.R. and Raman spectra of pyrosilicates and
pyrogermanates with a linear bridge. // Spectrochimica Acta.- 1973. –
Vol.29A. – P.1017–1027

4. Eaca?aa A.I. Eieaaaoaeueiua niaeo?u e no?iaiea neeeeaoia. – E.:Iaoea,
1968

5. Eaca?aa A.I. Eieaaaoaeueiua niaeo?u neiaeiuo ieeneia. – E.: Iaoea,
1975

Nienie iniiaieo ?ia?o aaoi?a, ui oa?eoee aei aeena?oaoe??

1. A.I.Aoaaiia, A.I.Iaoiaiei. Oi?ie ii?iaeueieo eieeaaiue
i??ai?aeaeueieo iieaeoe oa ?ii?a OO3. //A?niee Ee?anueeiai
oi?aa?neoaoo.- 1997.-A.4. – c.342–351

2. A.I.Aoaaiia, A.I.Iaoiaiei. Oi?ie ii?iaeueieo eieeaaiue iieaeoe oa
?ii?a O2O6. O2O7. //A?niee Ee?anueeiai oi?aa?neoaoo. – 1998. – A.1. –
C.331–346

3. ?.N.Ai?aaiue, A.I.Iaoiaiei, I.I.Aaeue, A.I.Aieiaae, I.I.Ioaa.
Eiiaeiaoeeiiiia ?annayiea naaoa iiiie?enoaeeaie ie?ineeeeaoa E2Pb2Si2O7.
//Iioeea e niaeo?ineiiey. – 1997. – Oii 83, ?1. – N.107–110

4. ?.N.Ai?aaiue, A.I.Iaoiaiei, I.I.Oa?/aiei, O.N.Aaaeay, A.I.Aieiaae,
I.I.Ioaa. ?io?a/a?aii? niaeo?e iiiie?enoae?a i??inee?eao?a eae?th ?
e?o?th. //Oe?a?inueeee o?ce/iee aeo?iae. – 1999, ?6. – N.689–693

5. A.I.Iaoiaiei. Iniaeeaino? no?oeoo?e ? eieeaaeuei? niaeo?e
i??inee?eaoo eae?th //A?niee Ee?anueeiai oi?aa?neoaoo. – 1999. – A.1. –
N.352–356

6. A.I.Aoaaiia, A.I.Iaoiaiei. No?oeoo?ia oa aeaeo?iiia i?e?iaea
o??aeueiino? a iioe/ii aeoeaieo ?iiieo e?enoaeao a-LiJO3. //Aeiiia?ae?
Iaoe?iiaeueii? aeaaeai?? iaoe Oe?a?ie. – 1999. – ?7. – N.72–75

7. A.A.Aoaaiia, A.I.Iaoiaiei. Oi?iu ii?iaeueiuo eieaaaiee
ie?aieaeaeueiuo iieaeoe e eiiia AA3. ?aae. “Oe?aeineiai oece/aneiai
aeo?iaea” – Eeaa, 1989.- 14 n. Aeai. a AEIEOE 18.10.89 a. ?6614-A89

8. Neiao??y aia?aaoe/ieo noai?a c a?aooaaiiyi ?iaa??aioiino? aei
?iaa?n?? /ano oa aecia/aiiy aeenia?n?? oiiiiieo a?eie c
aenia?eiaioaeueieo aeine?aeaeaiue niaeo??a E?N ae?oaiai ii?yaeeo a
e?enoaeao a-LiJO3.//Ca?o i?i iaoeiai-aeine?aeio ?iaioo “Iioe/i?
aeanoeaino?, iniaeeaino? aeaeo?iiii? no?oeoo?e oa eieaeoeai? aoaeoe a
iaiaoae?/ieo e?enoaeao. Ee?a. 1993. N.46–52. Aeai. a AIIOA Oe?aeiu

9. A.A.Aoaaiia, A.I.Iaoiaiei, A.E.Naeeaii. Aeenia?ney oiiiiiuo ninoiyiee
a e?enoaeeao a-LiJO3. // Iaoa?eaeu iao/ii-i?aeoe/aneiai naieia?a “Iioeea
e niaeo?ineiiey e eo i?eiaiaiea a ia?iaeiii oicyenoaa e yeieiaee”,
ethiue 1992, a.Eaiaiaoe-Iiaeieueneee. N.131

10. Gorban I.S, Naumenko A.P., Biliy M.M. Raman spectra of K2Pb2Si2O7
single crystal.// Proceedings of XIV-th International Conference on
Raman Spectroscopy. Hong Kong, August 22-26, 1994., p.253-254

11. Gorban I.S., Naumenko A.P. Raman Spectra of Pyrosilicate
(K2Pb2Si2O7). //Materials of International summer school on “Phonon in
crystalline structures of different dimensions”.- Kyiv (Ukraine).- 1995.
– P.17

12. Gorban I.S., Naumenko A.P., Biliy M.M., Golovey V.M., Puga P.P.
Phonon spectra in K2Pb2Si2O7 single crystals. // Proceedings of XIV-th
International Conference on Raman Spectroscopy. – Pittsburgh (USA). –
1996 – P.848-850

13. A.P.Naumenko. Lattice Dynamic of Potassium Pyrosilicate single
crystal. //Materials of International school on “Spectroscopy of
molecules and crystals” – Odessa (Ukraine). – 1999. – P.68

Iaoiaiei A.I. Aeeiai?ea e?enoae?/ieo a?aoie oa neiao??y aia?aaoe/ieo
noai?a a iaiaoae?/ieo e?enoaeao, ui i?noyoue i??ai?aeaeuei? no?oeoo?i?
aeaiaioe XY3.- ?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa
o?ceei-iaoaiaoe/ieo iaoe ca niaoe?aeuei?noth 01.04.05 – iioeea, eaca?ia
o?ceea. – Ee?anueeee oi?aa?neoao ?iai? Oa?ana Oaa/aiea, Ee?a, 1999.

Aeena?oaoe?th i?enay/aii aecia/aiith niaeo?ineii?/ieo i?iya?a iayaiino?
a aoaeia? e?enoae?/ieo niieoe i??ai?aeaeueieo no?oeoo?ieo aeaiaio?a XY3
oa ?o oneeaaeiaieo iio?aeieo iiaeeo?eaoe?e X2Y6, X2Y7. C aeei?enoaiiyi
oai?aoeei-a?oiiaeo iaoiae?a neiao??eiiai aiae?co a iiaoaeia? oi?i
ii?iaeueieo eieeaaiue ye naieo no?oeoo?ieo aeaiaio?a, oae ? e?enoae?/ieo
niieoe a oe?eiio, ciaeaeai? a aiae?oe/iiio aeaeyae? oi?ie ?o ii?iaeueieo
eieeaaiue oa iaaeaia iaeiicia/ia ?ioa?i?aoaoe?y niaeo??a eiia?iaoe?eiiai
?icn?yiiy oa ?io?a/a?aiiiai iiaeeiaiiy na?oea a oaeeo niieoeao ye
a-LiJO3, K2Pb2Si2O7, Li2Pb2Si2O7. Anoaiiaeaii e?enoae?/io no?oeoo?o
aiaio?ii???a eiaeaoo e?o?th. Cai?iiiiiaaii iiaeaeue no?oeoo?ii? oa
aeaeo?iiii? i?e?iaee yaeua i?e?iaeii? iioe/ii? aeoeaiino? a a-LiJO3. Ia
iniia? aiae?co eieeaaeueieo niaeo??a ooi/iaia i?inoi?iaa a?oia e?enoaeo
K2Pb2Si2O7, cai?iiiiiaaia iiaeeeaa no?oeoo?a e?enoaeo Li2Pb2Si2O7.

Eeth/ia? neiaa: aeeiai?ea a?aoee, oi?ie ii?iaeueieo eieeaaiue, oai??y
a?oi, eiia?iaoe?eia ?icn?yiiy na?oea, ?io?a/a?aiia iiaeeiaiiy,
aiaio?iii?o?ci, i?e?iaeia iioe/ia aeoeai?noue, eiaeao e?o?th, nee?eaoe.

Iaoiaiei A.I. Aeeiaieea e?enoaeee/aneeo ?aoaoie e neiiao?ey
yia?aaoe/aneeo ninoiyiee a iaiaoaeee/aneeo e?enoaeeao, niaea?aeaueo
ie?aieaeaeueiua no?oeoo?iua yeaiaiou XY3.- ?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa
oeceei-iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.04.05 – iioeea,
eaca?iay oeceea. – Eeaaneee oieaa?neoao eiaie Oa?ana Oaa/aiei, Eeaa,
1999.

Aeenna?oaoeey iinayuaia onoaiiaeaieth niaeo?ineiie/aneeo i?eciaeia
iaee/ey a no?iaiee e?enoaeee/aneeo niaaeeiaiee ie?aieaeaeueiuo
no?oeoo?iuo yeaiaioia XY3 e eo oneiaeiaiiuo i?iecaiaeiuo iiaeeoeeaoeee
X2Y6, X2Y7.

N eniieueciaaieai oaoieee iia?aoi?a i?iaeoe?iaaiey e o/aoii o?aaiaaiey
i?oiaiiaeueiinoe nianoaaiiuo eieaaaoaeueiuo ooieoeee iino?iaiu a
aiaeeoe/aneii aeaea oi?iu ii?iaeueiuo eieaaaiee eae naieo no?oeoo?iuo
yeaiaioia, oae e e?enoaeee/aneeo niaaeeiaiee a oeaeii. I?e yoii aeey
iieaeoe eee eiiia X2Y6, X2Y7 oi?iu iaau?iaeaeaiiuo eieaaaiee i?aeoe/anee
niaiaee n oaea ecaanoiuie, a oi?iu aeaoe?aoii au?iaeaeaiiuo eieaaaiee
iieiinoueth ia?aniio?aiu.

N eniieueciaaieai eaaceiieaeoey?iiai i?eaeeaeaiey iieo/aiu a
aiaeeoe/aneii aeaea oi?iu ii?iaeueiuo eieaaaiee ?aoaoee e?enoaeea
eiaeaoa eeoey, /oi iicaieeei aeaoue iieioth eioa?i?aoaoeeth niaeo?ia
eiiaeiaoeeiiiiai ?annayiey. Aiaeec niaeo?ia E?N, iieo/aiiuo i?e
ioeaaeaeaiee e?enoaeea aei oaiia?aoo?u aeeaeeiai aaeey, oeacuaaao ia oi,
/oi aaenaaiiaeueiay a-iiaeeoeeaoeey e?enoaeea nouanoaoao aieioue aei
1.2E. Onoaiiaeaia e?enoaeee/aneay no?oeoo?a aeaoo yiaioeiii?oiuo oi?i
?aoaoee eiaeaoa e?o?y. I?aaeeiaeaia iiaeaeue no?oeoo?iie e yeaeo?iiiie
i?e?iaeu yaeaiey anoanoaaiiie iioe/aneie aeoeaiinoe a a-LiJO3, eioi?ay
aucaaia iiai?ioaie aieiiia – a?oii JO3– ioiineoaeueii eaoeiiiie
iiae?aoaoee ec eiiia Li+. Iniiaiui oe?aeueiui yeaiaioii ?aoaoee yaeyaony
eiaeii-eenei?iaeiue iieeyae? JO6 – aeaoi?ie?iaaiiue eenei?iaeiue
ieoaaae?, aioo?e eioi?iai ?aniieiaeai aoii eiaea. Iaee/ea oaeiai
no?oeoo?iiai yeaiaioa naeaeaoaeuenoaoao i oii, /oi yaeaiea ae?io?iiee ia
iiaeao ?anniao?eaaoueny a ?aieao eaaceiieaeoey?iiai i?eaeeaeaiey.

Enneaaeiaaiu niaeo?u eio?ae?aniiai iiaeiuaiey e io?aaeaiey i?e eiiiaoiie
oaiia?aoo?a e niaeo?u eiiaeiaoeeiiiiai ?annayiey naaoa aieioue aei
oaiia?aoo?u aeeaeeiai aaeey iiiie?enoaeeaie ie?ineeeeaoa eaeey a
?acee/iuo iiey?ecaoeeyo. Aeey eioa?i?aoaoeee niaeo?ia eniieueciaai
eaaceiieaeoey?iue iiaeoiae, ii iineieueeo aieueoeinoai eeiee niaeo?a
eiaao neiaeioth no?oeoo?o, naeaeai auaiae i neeueiii niaoeaaiee
aeaeaeaiee eaaceiieaeoeu n aeaeaeaieyie eiiia naeioea e eaeey. Ooi/iaia
i?ino?ainoaaiiay a?oiia e?enoaeea i?e eiiiaoiie oaiia?aoo?a. Ia iniiaa
aiaeeca eieaaaoaeueiuo niaeo?ia i?aaeeiaeaia aiciiaeiay no?oeoo?a
e?enoaeea Li2Pb2Si2O7.

Iino?iaiu iai?eaiaeeiua i?aaenoaaeaiey a?oii aieiiaiai aaeoi?a a oi/eao
A, D e A ciiu A?eeethyia e?enoaeea a-LiJO3 e iaeaeaiu oneiaey eo
niaianoiinoe. N o/aoii eiaa?eaioiinoe e eiaa?nee a?aiaie i?iaaaeaia
eeanneoeeaoeey yia?aaoe/aneeo ninoiyiee e?enoaeea a yoeo oi/eao e aeaia
niioaaonoaothuay eeanneoeeaoeey a aieueoie ciia (ciia Aeaeiina). Ia
iniiaa yenia?eiaioaeueiuo niaeo?ia E?N iino?iaiu e?eaua aeenia?nee
oiiiiiuo aaoaae a iai?aaeaiee A–A eo ciiu A?eeethyia, aeaia
eioa?i?aoaoeey yenia?eiaioaeueii ca?aaeno?e?iaaiiiai niaeo?a E?N
aoi?iai ii?yaeea.

Eeth/aaua neiaa: aeeiaieea ?aoaoee, oi?iu ii?iaeueiuo eieaaaiee, oai?ey
a?oii, eiiaeiaoeeiiiia ?annayiea naaoa, eio?ae?aniia iiaeiuaiea,
yiaioeiii?oeci, anoanoaaiiay iioe/aneay aeoeaiinoue, eiaeao eeoey,
neeeeaou.

Naumenko A.P. Lattice dynamics and energy states symmetry in nonmetal
crystals based on pyramidal structural elements XY3.- Manuscript.

Thesis on search of the scientific degree of candidate of physical and
mathematical sciences by speciality 01.04.05-optics, laser physics.-
Kyiv Taras Shevchenko University, Kyiv, 1999.

The thesis is devoted to the establishments of spectroscopic
manifestations of the structural peculiarities of crystals based on
pyramidal structural elements XY3. The forms of the normal vibrations of
structural elements XY3, X2Y6, X2Y7 and a-LiIO3, K2Pb2Si2O7 single
crystals have been built using the projective operator technique, and
the assignments of spectral bands have been done. The crystal structures
of two enantiomorphous forms of a-LiIO3 have been described, and
structural and electronical origin of natural optical activity has been
proposed. On base of analysis of the crystal structure and vibrational
spectra the space group of K2Pb2Si2O7 single crystal has been revised.
The possible structure of Li2Pb2Si2O7 single crystal has been proposed.

Key words: lattice dynamics, normal vibration forms, theory of groups,
Raman and infrared spectroscopy, enantiomorphism, natural optical
activity, lithium iodate, silicates

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