Термодинамічна стійкість твердих розчинів заміщення на основі титану та її вплив на кристалічну будову мартенситу: Автореф. дис… канд. фіз.-мат. нау

IAOe?IIAEUeIA AEAAeAI?ss IAOE OE?A?IE

?INOEOOO IAOAEIO?CEEE ?i. A.A. EO?AeTHIIAA

Ia i?aaao ?oeiieno

OAA*AIEI NA?A?E AAEA??EIAE*

OAeE 548.4:669.295.4:669.017.3

OA?IIAeEIAI?*IA NO?EE?NOUe OAA?AeEO ?IC*EI?A CAI?UAIIss IA INIIA? OEOAIO
OA ?? AIEEA IA E?ENOAE?*IO AOAeIAO IA?OAINEOO

niaoe?aeuei?noue 01.04.13 — o?ceea iaoae?a

AAOI?AOA?AO

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa o?ceei-iaoaiaoe/ieo iaoe

Ee?a-1999

Aeena?oaoe??th ? ?oeiien

?iaioa aeeiiaia a

?inoeooo? iaoaeio?ceee ?i. A.A. Eo?aethiiaa IAI Oe?a?ie.

Iaoeiaee ea??aiee: aeieoi? oaoi?/ieo iaoe,

i?ioani? ?aaneoei I.I., cano.
aee?aeoi?a

(?inoeooo iaoaeio?ceee ?i. A.A.
Eo?aethiiaa

IAI Oe?a?ie).

Io?oe?ei? iiiiaioe: aeieoi? o?ceei-iaoaiaoe/ieo iaoe,

i?ioani? Ono?iia A.?., cano.
aee?aeoi?a

(I?aeia?iaeiee Oeaio?
aeaeo?iiii-i?iiaiaaeo

oaoiieia?e ?AC ?i. A.I. Iaoiia IAI
Oe?a?ie)

aeieoi? o?ceei-iaoaiaoe/ieo iaoe,

i?ioani? Ieaineie I.?., caa.
eaoaae?ith

o?ce/ii? aeaeo?ii?ee (Noinueeee
aea?aeaaiee

oi?aa?neoao)

I?ia?aeia onoaiiaa: Ee?anueeee Iaoe?iiaeueiee oi?aa?neoao

?i. O.A. Oaa/aiea, i. Ee?a

Caoeno a?aeaoaeaoueny 15 a?oaeiy 1999 ?. i 1400 aiae. Ia can?aeaii?
Niaoe?ae?ciaaii? a/aii? ?aaee Ae 26.168.01 a ?inoeooo? iaoaeio?ceee ?i.
A.A. Eo?aethiiaa IAI Oe?a?ie (252680, Ee?a-142 i?., Aa?iaaenueeiai, 36,
eiioa?aioecae ?inoeoooo iaoaeio?ceee ?i. A.A. Eo?aethiiaa IAI Oe?a?ie).

C aeena?oaoe??th iiaeia iciaeiieoenue a iaoeia?e a?ae?ioaoe?

?inoeoooo iaoaeio?ceee ?i. A.A. Eo?aethiiaa IAI Oe?a?ie

Aaoi?aoa?ao ?ic?neaiee 13 eenoiiaaea 1999 ?.

A/aiee nae?aoa?

Niaoe?ae?ciaaii? ?aaee Ae 26.168.01

aeieoi? o?c.-iao. iaoe I?UAE A.E.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. Oeoaiia? nieaae ? iaeiei c iaeaaaeeea?oeo
eiino?oeoe?eieo iaoa??ae?a caaaeyee ?o aenie?e ieoii?e i?oeiino? oa
ei?ic?ei?e no?eeino? a aa?aneaieo na?aaeiaeuao. Aea/aiiy oaciaeo
ia?aoai?aiue o oeoaiiaeo nieaaao noaiiaeoue aaeeeee i?aeoe/iee ?ioa?an,
ine?eueee naia aiane?aeie ?icaeoeo oaeeo ia?aoai?aiue i?e oa?i?/i?e
ia?iaoe? a?aeaoaa?oueny oi?ioaaiiy no?oeoo?ieo noai?a ?c iaiao?aeieie
o?ceei-iaoai?/ieie oa?aeoa?enoeeaie. Aaaeeeaeie eaaoth/eie eiiiiiaioaie
oeoaiiaeo nieaa?a, ye? cia/iith i??ith coiiaeththoue ?o no?oeoo?o oa
aeanoeaino?, ? aeaiaioe, ui noaa?e?cothoue aenieioaiia?aoo?io
aeio?ii?/io iiaeeo?eaoe?th oeoaio symbol 190 \f «Symbol» \s 13
symbol 98 \f «Symbol» \s 13 -oaco ( symbol 98 \f «Symbol» \s 13
-noaa?e?caoi?e). Oaeeie ?, iai?eeeaae, iie?aaeai, aaiaae?e, oaioae oa
i?ia?e ( symbol 98 \f «Symbol» \s 13 -noaa?e?caoi?e ?ciii?oiiai oeio),
a oaeiae cae?ci oa o?ii ( symbol 98 \f «Symbol» \s 13 -noaa?e?caoi?e
aaoaeoi?aeiiai oeio).

Ia nueiaiaei? ?yae aniaeo?a oaciaeo ia?aoai?aiue o oeoaiiaeo nieaaao ua
ia c’yniaaii inoaoi/ii. A cia/i?e i??? oea noino?oueny e?enoae?/ii?
aoaeiae ? iaoai?cio oi?ioaaiiy no?oeoo?e ia?oaineoieo oac. ?acoeueoaoii
ia?oaineoiiai ia?aoai?aiiy a a?ia?ieo nieaaao oeoaio c aeacaieie aeua
aeaiaioaie i?e iaeeo ?o eiioeaio?aoe?yo ? ia?oaineoia symbol 97 \f
«Symbol» \s 13 symbol 162 \f «Symbol» \s 13 -oaca ?c aaenaaiiaeueiith
u?eueii oiaeiaaiith (AUO) a?aoeith. I?e aeinyaiaii? iaaii? e?eoe/ii?
eiioeaio?aoe?? iiaeeeaa ii?ooaiiy ni?aa?aeiioaiue ia?aiao??a AUO a?aoee
? aeieeiaiiy i?oi?iia?/iiai, oae caaiiai symbol 97 \f «Symbol» \s 13
symbol 162 \f «Symbol» \s 13 symbol 162 \f «Symbol» \s 13
-ia?oaineoo. Oaeee ia?ao?ae a?ae symbol 97 \f «Symbol» \s 13 symbol
162 \f «Symbol» \s 13 — aei symbol 97 \f «Symbol» \s 13 symbol 162
\f «Symbol» \s 13 symbol 162 \f «Symbol» \s 13 — ia?oaineoii? oace ?
oi?eaeueiei o oiio ?icoi?ii?, ui eiai oa?aeoa?eco? iinooiiaa ci?ia
aaaaoueio o?ce/ieo oa?aeoa?enoee ia?oaineoii? oace. I?oi?iia?/iee
ia?oaineo ooai?th?oueny a nieaaao oeoaio c ?ciii?oieie symbol 98 \f
«Symbol» \s 13 -noaa?e?caoi?aie, a oie /an ye o nieaaao oeoaio c
aaoaeoi?aeiooai?thth/eie aeaiaioaie ia?oaineoia oaca, ye i?aaeei,
caa??aa? AUO a?aoeo a onueiio ae?aiacii? eiioeaio?aoe?e eaaoth/iai
aeaiaioo.

Ia ii/aoie ?iaioe iaae aeena?oaoe??th aeai? i?i e?enoaeiaaiiao?e/i?
oa?aeoa?enoeee oac, ui aeieeathoue o i?ioean? ia?oaineoiiai
ia?aoai?aiiy, aoee aaaaoi a /iio noia?a/eea?. Iaiiaieie aoee aeai? i?i
oa?iiaeeiai?/i? oa?aeoa?enoeee oac o a?ia?ieo nenoaiao, iniiaith yeeo ?
oeoai. I?e?iaea i?oi?iia?/ii? neiao??? symbol 97 \f «Symbol» \s 13
symbol 162 \f «Symbol» \s 13 symbol 162 \f «Symbol» \s 13 -ia?oaineoo
caeeoaeanue aeeneon?eiith. Aoea a?aeiia noaia oi?ioaaiiy i?oi?iia?/iiai
ia?oaineoo, cai?iiiiiaaia Aaaa?yoeueeei ?c ni?a?ia?oieeaie, ca?aeii yei?
i?oi?iia?/iee ia?oaineo ? ?acoeueoaoii iacaaa?oaiiai cnoao aoiiieo
ieiuei i?e IOeE-AUO ia?aoai?aii?. I?e/eie iiae?aii? iacaaa?oaiino?
caeeoaeeny, i?ioa, iac’yniaaieie. C ?ioiai aieo, aoee a?aeii?
aeaeo?iiiii?e?ineii?/i? aeine?aeaeaiiy A. Oeaoa?a oa ?i. i?i ?nioaaiiy
aeenia?nieo iiaeoeueiaaieo no?oeoo? a i?oi?iia?/iiio ia?oaineo?
aeae?eueeio a?ia?ieo nenoai, i?ioa ?o oi?ioaaiiy aaoi?e ca symbol 162 \f
«Symbol» \s 13 ycoaaee ia c i?e/eiaie, a c iane?aeeaie ooai?aiiy
i?oi?iia?/ii? a?aoee ia?oaineoo. Ne?ae a?aei?oeoe, ui oi?ioaaiiy oaeeo
iiaeoeueiaaieo no?oeoo? iiaea aooe iaeiei c ia?niaeoeaieo oeyo?a
iie?auaiiy iaoai?/ieo aeanoeainoae oeoaiiaeo nieaa?a.

?acoeueoaoe aeine?aeaeaiiy Oeaoa?a, ui aia?oa iieacaee ?nioaaiiy
i?inoi?iai iiaeoeueiaaieo (ii eiioeaio?aoe?? eaaoth/iai aeaiaioa)
no?oeoo? o ia?oaineo?, iineoaeeee iiooiaoii aeey iiaoaeiae iiaeae?
i?oi?iia?/iiai ia?oaineoo ?aaneoeia oa Einaiei. Aiie iieacaee, ui o
aeiaaeeo oi?ioaaiiy a AUO oaa?aeiio ?ic/ei? i?inoi?iai iiaeoeueiaaii?
no?oeoo?e i?oaeia aca?iiae?y eiaa?aioii ii?aeiaieo ca?aeiaieo ?
caaaa/aieo (ui a?ae??ciythoueny, a?aeiia?aeii, ia?aiao?aie a?aoee) ??
neeaaeiaeo, i?ecaiaeeoue aei ?o eieaeueieo noaoe/ieo aeaoi?iaoe?e, o
?acoeueoao? yeeo ?iciiae?e ?ioaineaiinoae ia ?aioaaiia?aiao iaaoaa?
aeaeyaeo, oa?aeoa?iiai aeey i?oi?iia?/ii? a?aoee. Oaeei /eiii, i?iaeaia
oi?ioaaiiy i?oi?iia?/iiai ia?oaineoo caiaeeoueny aei i?iaeaie no?eeino?
AUO oaa?aeiai ?ic/eio aei oaciaeo ia?aoai?aiue oeio ni?iiaeaeueiiai
?iciaaeo oa aoiiiiai aii?yaeeoaaiiy, ui iiaeooue aooe i?e/eiith
oi?ioaaiiy oaeeo no?oeoo?. Aeey ae??oaiiy oe??? i?iaeaie a aeai?e ?iaio?
aia?oa aeei?enoaii i?aeo?ae, yeee aaco?oueny ia oai?aoe/iiio
aeine?aeaeaii? oa?iiaeeiai?/ii? no?eeino? oaa?aeeo ?ic/ei?a cai?uaiiy ia
iniia? oeoaio uiaei ?icaeoeo oaciaeo ia?aoai?aiue, caeaoieo aieeiooe ia
e?enoae?/io no?oeoo?o ia?oaineoieo oac.

Iaoa ?iaioe iieyaa? o aecia/aii? eiioeaio?aoe?eii-oaiia?aoo?ieo iaeanoae
noaa?eueiino? AUO ? IOeE oaa?aeeo ?ic/ei?a oeoaio ?ciii?oiiai oa
aaoaeoi?aeiiai oei?a ii a?aeiioaiith aei ?cino?oeoo?ieo oaciaeo
ia?aoai?aiue (?iciaae ca ni?iiaeaeueiei iaoai?ciii, aeieeiaiiy
aeaeueiueiai ii?yaeeo, oiui), a oaeiae ?o iiaeeeaiai aieeao ia
e?enoae?/io aoaeiao ia?oaineoieo oac. O a?aeiia?aeiino? aei iinoaaeaii?
iaoe iaiao?aeii aoei ae??oeoe oae? caaea/?:

1. Io?eiaoe aeai? i?i aia?aaoe/i? ia?aiao?e aca?iiae?? aoii?a cai?uaiiy
a AUO oa IOeE a?ia?ieo oaa?aeeo ?ic/eiao ? i?iaiae?coaaoe ia ?o iniia?
iiaeeea?noue aeieeiaiiy a oaeeo ?ic/eiao i?inoi?iaeo iiaeoeyoe?e
eiioeaio?aoe?? aoii?a cai?uaiiy.

2. Anoaiiaeoe eiioeaio?aoe?eii-oaiia?aoo?i? iaeano? oa?iiaeeiai?/ii?
no?eeino? AUO oa IOeE a?ia?ieo oaa?aeeo ?ic/ei?a ia iniia? oeoaio oa,
aeoiaey/e c oeueiai, aeaoe iiyniaiiy ie?aiei aeaoaeyi oaciaeo ae?aa?ai
oeoaiiaeo nieaa?a.

3. Aea/eoe aieea nooiaith i?oi?iia?/iino? ia?oaineoo ia eiai
e?enoaeiaaiiao?e/i? ia?aiao?e, oae? ye i???ioaoe?y aaa?oonii? ieiueie
e?enoae?a ia?oaineoo, a oaeiae a?aeiinia ia’?iia /anoea aeiiai?a c
aea?eieeiaith i???ioaoe??th a a?aieoeyo e?enoaeo ia?oaineoo.

Iaoeiaa iiaecia ?iaioe. O ?iaio? aia?oa io?eiaii oae? ?acoeueoaoe:

1. Anoaiiaeaii ooieoe?? i?inoi?iaiai ?iciiae?eo aoii?a cai?uaiiy oa oeie
iaaeno?oeoo? aeey nieaa?a oeoaio c i?ia??i, iie?aaeaiii, o?iiii,
oaioaeii, cae?cii, oi?ioaaiiy yeeo ? oa?iiaeeiai?/ii iaeaea?aei?oei ia
ii/aoeiaeo noaae?yo aii?yaeeoaaiiy /e ?iciaaeo AUO oa IOeE oac.

2. Iieacaii, ui aeaoi?iaoe?eii-coiiaeaia neeaaeiaa aia?a?? aca?iiae??
aoii?a cai?uaiiy a AUO ia?oaineo? ? nooo?aith c oi/ee ci?o
oa?iiaeeiai?/ii? iiaaae?iee oaa?aeiai ?ic/eio ? neeaaea? aei 0.2 symbol
184 \f «Symbol» \s 13 0.6 aA/aoii.

3. Anoaiiaeaii eiioeaio?aoe?eii-oaiia?aoo?i? iaeano? oa?iiaeeiai?/ii?
no?eeino? IOeE oa AUO oaa?aeeo ?ic/ei?a ii a?aeiioaiith aei
?cino?oeoo?ieo oaciaeo ia?aoai?aiue aeey nieaa?a oeoaio c iie?aaeaiii,
i?ia??i, oaioaeii, cae?cii oa o?iiii. Iieacaii, ui aeey nieaa?a
aaoaeoi?aeiiai oeio, ia a?aei?io a?ae nieaa?a ?ciii?oiiai oeio, ao?aoa
noaa?eueiino? iiaeiia a?aeaoaaoenue ca aeoaea iecueeeo oaiia?aoo?, ui
?iaeoue i?aeoe/ii iaiiaeeeaei ia?ao?ae aei oa?iiaeeiai?/ii ??aiiaaaeieo
noai?a.

4. Anoaiiaeaii iiaeeea?noue ?nioaaiiy o?ee?eoe/ii? oi/ee ia ??aiiaaaeieo
ae?aa?aiao noaio nieaa?a oeoaio c oaioaeii, aaiaae??i oa o?iiii,
aecia/aii a?aeiia?aei? oaiia?aoo?e oa eiioeaio?aoe??.

5. Iieacaii, ui a a?ia?ieo nieaaao oeoaio c symbol 98 \f «Symbol» \s 13
-noaa?e?caoi?aie ?nio? caeaaei?noue a?aeiinii? ia’?iii? /anoee aeiiai?a
c aea?eieeiaith i???ioaoe??th a a?aieoeyo e?enoaeo ia?oaineoo, a?ae
eiioeaio?aoe?? symbol 98 \f «Symbol» \s 13 -noaa?e?caoi?a, i?e/iio
ca?eueoaiiy oe??? /anoee c eiioeaio?aoe??th iiaea iaoe nai?i iane?aeeii
iiiiaeiiai?caoe?th ia?oaineoieo e?enoae?a.

6. Anoaiiaeaii ??aiiaaaei? iieiaeaiiy aaa?oonieo ieiuei ia?oaineoo a
caeaaeiino? a?ae ai?noo symbol 98 \f «Symbol» \s 13 -noaa?e?caoi??a.
Ia?aaeaa/aii oa aenia?eiaioaeueii i?aeoaa?aeaeaii aiiiaeueio aeey
oeoaiiaeo nieaa?a ci?io iieiaeaiiy aaa?oonieo ieiuei a?ae iiethna {443}
symbol 98 \f «Symbol» \s 13 aei iiethna {413} symbol 98 \f «Symbol» \s
13 a nieaaao oeoaio c i?ia??i i?e ca?eueoaii? ai?noo i?ia?th.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a. I?iaaaeai? a ?aieao ?iaioe
oai?aoe/i? aeine?aeaeaiiy oa?iiaeeiai?/ieo aeanoeainoae ? no?oeoo?ieo
iniaeeainoae a?ia?ieo oaa?aeeo ?ic/ei?a ia iniia? oeoaio aeicaieythoue
c?icoi?oe caeiiii??iino? ?cino?oeoo?ieo oaciaeo ia?aoai?aiue o
aenieioaiia?aoo?i?e oa ia?oaineoi?e oacao o oeoaiiaeo nieaaao. Io?eiai?
aeai? i?i eiioeaio?aoe?eii-oaiia?aoo?i? iaae? noaa?eueiino? ie?aieo
?cino?oeoo?ieo noai?a a?aee?eaathoue iiaeeea?noue iioei?caoe?? ?aaeei?a
oa?i?/ii? ia?iaee oeoaiiaeo nieaa?a.

Iaea?aeai? a aeena?oaoe?ei?e ?iaio? ?acoeueoaoe iiaeooue aooe
aeei?enoai? a aeine?aeaeaiiyo, ui iathoue ca iaoo oe?eani?yiiaaio ci?io
i?e?ino?oeoo?e oeoaiiaeo nieaa?a c iaoith iie?auaiiy ?o iaoai?/ieo
aeanoeainoae.

Iniaenoee aianie caeiaoaa/a A aeena?oaoe?ei?e ?iaio? ocaaaeueiaii
?acoeueoaoe aeine?aeaeaiue, i?iaaaeaieo i?e aaciina?aaei?e o/ano?
aaoi?a, iniaenoee aianie yeiai iieyaa? o i?iaaaeaii? ?ic?aooie?a
oa?iiaeeiai?/ieo aeanoeainoae oa no?oeoo?ieo iniaeeainoae a?ia?ieo
oaa?aeeo ?ic/ei?a ia iniia? oeoaio, a oaeiae ?yaeo e?enoaeiaaiiao?e/ieo
ia?aiao??a oeeo nieaa?a, anoaiiaeaii? caeiiii??iinoae aieeao
oaiia?aoo?ii-eiioeaio?aoe?eieo oaeoi??a ia oa?aeoa? oaciaeo ia?aoai?aiue
o a?ia?ieo oeoaiiaeo nieaaao.

Oaa/aiei N.A. i?eeiaa aaciina?aaeith o/anoue a iaaiai?aii? oa iaienaii?
noaoae.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. Iaoa??aee aeena?oaoe??
aeiiia?aeaeenue oa iaaiai?thaaeenue ia:

1. ICOMAT’95 International Conference on Martensite, Lausanne,
Switzerland, 1995.

2. Coeepie-95, 3-e *epeacceee ceieiap copai coaepyaeecoaa «Aeoyaeueiue
aoipocu aeeooycee, oacoaux e copyeoypiux ipeapaueiee a cieaaax,
*epeaccu, 1995.

3. DIFTRANS’98 International workshop «Diffusion and diffusional phase
transformations in alloys, Cherkasy,1998.

4. Iopyaeoe a ieoaeeax e cieaaax, Meiopeaeueiue ceiioceyi a /ecoue
aeaaeeieea A.A. Ciepioaa, Keea, 1998.

5. Kurdyumov Memorial International Conference on Martensite, Moscow,
Russia, 1999.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. ?iaioa
aeeiioaaeanue a ?inoeooo? iaoaeio?ceee IAI Oe?a?ie a ?aieao athaeaeaoii?
oaie ?01964018946 oa i?iaeoo OIOOe ?51.

Ioae?eaoe??. Iniiai? ?acoeueoaoe aeena?oaoe?eii? ?iaioe aeeeaaeaii a 5
iaoeiaeo ioae?eaoe?yo (noaooyo), ia?ae?e yeeo iaaaaeaiee a e?ioe?
aaoi?aoa?aoo.

No?oeoo?a aeena?oaoe??. Aeena?oaoe?y neeaaea?oueny ?c anooio, i’youeio
?icae?e?a, caaaeueieo aeniiae?a, iaeiiai aeiaeaoeo oa nieneo
aeei?enoaieo e?oa?aoo?ieo aeaea?ae.

Ianya ?oeiieno — 133 noi??iee ae?oeiaaiiai oaenoo, a oiio /ene? 29
iaethie?a, 11 oaaeeoeue, iaeei aeiaeaoie, nienie aeei?enoaieo
e?oa?aoo?ieo aeaea?ae — 113 iaeiaioaaiue.

Iaoiaeieia?y aeine?aeaeaiue. A ?iaio? aeei?enoaii i?e?ineii?/io aoiiio
iiaeaeue oaa?aeiai ?ic/eio oa a?aeiia?aeio iaeiioeioaeueio oai??th
aca?iiae?? oi/eiaeo aeaoaeo?a i?iieeiaiiy oa cai?uaiiy a
i?oaeii-ai?cio?iiieo e?enoaeao, canoiniaaii iaoiae noaoeee a?aoee
(?ic?aooie?a Oo?’?-eiiiiiaio?a eii?aeeiaoieo caeaaeiinoae neeiaeo oa
aaiiao?e/ieo aaee/ei), yeee aeicaiey? a?aooaaoe aoaeoe, iia’ycai? c
ai?cio?ii??th i?oaeieo aeanoeainoae e?enoaeo. Aeey oai?aoe/iiai aiae?co
e?enoaeia?ao?/ieo ia?aiao??a ia?oaineoieo oac aeei?enoaii iaoiae
i?i?i?caoe?? i?oaeii? aia?a??, yea aeieea? i?e oi?ioaaii? ieanoei
ia?oaineoo ana?aaeei? iao?eoe? aeo?aeii? oace. Aeey aenia?eiaioaeueiiai
aecia/aiiy i???ioaoe?e ieiuei aaa?oono ia?oaineoo aeei?enoaii iaoiaee
aeaeo?iiii? i?e?ineii?? (ne?aeiaee aiae?c).

CI?NO ?IAIOE

O anooii?e /anoei? iaa?oioiaaii aeooaeuei?noue oaie aeena?oaoe??,
noi?ioeueiaaii iaoo ? caaea/? ?iaioe, noenei aeeeaaeai? aieiai?
?acoeueoaoe aeine?aeaeaiiy, iieacaii ?o iaoeiao iiaecio oa i?aeoe/io
oe?ii?noue, noi?ioeueiaaii aeniiaee ca ?acoeueoaoaie aeena?oaoe?eii?
?iaioe.

O ia?oiio ?icae?e? iaaaaeaii iaeyae e?oa?aoo?e, i?enay/aii? o?ce/i?e
i?e?iae? ?cino?oeoo?ieo oaciaeo ia?aoai?aiue a a?ia?ieo oaa?aeeo
?ic/eiao ? aenia?eiaioaeueiei aeaiei i?i oa?aeoa? oaeeo ia?aoai?aiue a
oeoaiiaeo nieaaao, i?iaiae?ciaaii e?enoaeiaaiiao?e/i? iniaeeaino?
ooai?aiiy ia?oaineoieo oac a oeeo nenoaiao.

Iieacaii, ui iniiaiith iniaeea?noth ia?oaineoiiai ia?aoai?aiiy a
oeoaiiaeo nieaaao ? ?noioia caeaaei?noue e?enoaeia?ao??, ii?oieia?? ?
noano?oeoo?e eiai i?iaeoeo?a a?ae ai?noo eaaoth/iai aeaiaioo. Ia?oaineo
c i?oi?iia?/iith a?aoeith ooai?th?oueny a nieaaao oeoaia c ?ciii?oieie
symbol 98 \f «Symbol» \s 13 -noaa?e?caoi?aie a oeo aeiaaeeao, eiee
a?aei?ii?noue ?o aoiiieo ?ici???a a?ae ?ici???a aoiio oeoaio iacia/ia.
I?ioa ? i?e eaaoaaii? aeaiaioaie, ui aeiioneathoue ooai?aiiy symbol 97
\f «Symbol» \s 13 symbol 162 \f «Symbol» \s 13 symbol 162 \f
«Symbol» \s 13 -ia?oaineoo, oea a?aeaoaa?oueny eeoa i?e aeinyaiaii?
iaaii? i?i?iaeueii iaiao?aeii? eiioeaio?aoe?? eaaoth/eo aeaiaio?a.

I?iaiae?ciaaii aenia?eiaioaeuei? aeai? uiaei i???ioaoe?? ieiueie
aaa?oono ? oa?aeoa?enoee aioo??oiuei? no?oeoo?e ieanoei symbol 97 \f
«Symbol» \s 13 symbol 162 \f «Symbol» \s 13 symbol 162 \f «Symbol»
\s 13 -ia?oaineoo a nieaaao oeoaio c symbol 98 \f «Symbol» \s 13
-noaa?e?caoi?aie. A e?oa?aoo?? ? aeai? i?i oa, ui a c?aceao oiai naiiai
nieaao iiaeooue iaeii/anii ?nioaaoe ia?oaineoi? ieanoeie c aeaiia
??cieie nenoaiaie aaa?oonieo ieiuei: {334} symbol 98 \f «Symbol» \s 13
? {344} symbol 98 \f «Symbol» \s 13 . A ?ioeo ?iaioao iia?aeiiey?oueny
o?eueee i?i ?nioaaiiy i???iooaaiiy aaa?oonieo ieiuei oeio {344} symbol
98 \f «Symbol» \s 13 . Aeaeo?iiii-i?e?ineii?/i? aeine?aeaeaiiy
aioo??oiuei? no?oeoo?e symbol 97 \f «Symbol» \s 13 symbol 162 \f
«Symbol» \s 13 symbol 162 \f «Symbol» \s 13 -ia?oaineoo iieacothoue
iayai?noue ye aea?eiee?a, oae ? aeeneieaoe?e ? aeaoaeo?a iaeoaaiiy, ui
ia aeicaiey? iaeiicia/ii a?aeiia?noe ia ieoaiiy i?i aeae aeaoi?iaoe?? c
?iaa??aioiith a?aoeith. Noia?a/eeaeie ? ? a?aeiiino? i?i nenoaie
aea?eieeoaaiiy. Nenoaiaoe/ieo aeaieo i?i ia’?iio /anoeo aea?eieeiaeo
aeiiai?a a ia?oaineo? oa ?? eiioeaio?aoe?eio caeaaei?noue a e?oa?aoo??
ia iaaaaeaii.

I?iaiae?ciaaii ??ci? a?iioace i?i iaoai?ci ia?aoiaeo a?ae symbol 97 \f
«Symbol» \s 13 symbol 162 \f «Symbol» \s 13 — aei symbol 97 \f
«Symbol» \s 13 symbol 162 \f «Symbol» \s 13 symbol 162 \f «Symbol»
\s 13 -ia?oaineoo, a?ae iiaeae? Aaaa?yoeueeiai i?i symbol 97 \f
«Symbol» \s 13 symbol 162 \f «Symbol» \s 13 symbol 162 \f «Symbol»
\s 13 -ia?oaineo ye ?acoeueoao iacaaa?oaiiai cnoao aoii?a, iaiao?aeiiai
aeey ia?aaoaeiae IOeE  symbol 174 \f «Symbol» \s 13  AUO, aei iiaeae?
?aaneoeia oa Einaiei i?i i?oi?iia?/ia niioai?aiiy e?enoae?/ii? a?aoee
aiane?aeie i?oaeii? aca?iiae?? eiaa?aioii ii?aeiaieo ca?aeiaieo ?
caaaa/aieo neeaaeiaeo iiaeoeueiaaii? no?oeoo?e, yea aeieea? i?e ?iciaae?
aaenaaiiaeueiiai oaa?aeiai ?ic/eio.

?icae?e caaa?oo?oueny aeniiaeaie oa iinoaiiaeith caaea/? aeine?aeaeaiiy.

(r) — a?aeiia?aeii aia?a?? aoaeoeaii? “ia?ii?” aca?iiae?? ?ii?a Me-Me,
Ti-Ti ? Me-Ti a?aenoaiue i?ae yeeie r = R- R symbol 162 \f «Symbol» \s
13 + rp- rp symbol 162 \f «Symbol» \s 13 , aea R ? R symbol 162 \f
«Symbol» \s 13 — ?aae?one-aaeoi?e a?aeiia?aeieo i?ei?oeaieo
aeaiaioa?ieo eii??ie, a rp ? rp symbol 162 \f «Symbol» \s 13 —
?aae?one-aaeoi?e aoce?a i?ei?oeaii? aeaiaioa?ii? eii??ee AUO a?aoee: r1
= 0, r2 = (ap/2; ap/(2 eq \r(3) ); cp/2).

(k)|| iio?aiey? a iaeio c neiao??eieo oi/ie ia iiaa?oi? BZ, ii anueiio
ia’?io oaa?aeiai ?ic/eio iiaeiii a?aeaoaaoenue aoiiia aii?yaeeoaaiiy.
sseui ae oeae i?i?ioi ciaoiaeeoueny a aoaeue-ye?e ?io?e oi/oe? BZ kmin
symbol 185 \f «Symbol» \s 13 ? 0, oi no?oeoo?iooai?aiiy iiaeiii
noi?iaiaeaeoaaoeny ia??iaee/iith iiaeoeyoe??th ei?ioeiia??iaeiiai
?iciiae?eo aoii?a. sseui a?ae’?iiee aaniethoiee oa eieaeueiee(i?)
(iaeiia?/iee(i?)) i?i?ioi(e) niinoa??aathoueny a oeaio?? BZ, oi a
nenoai? iiaea a?aeaoaaoeny ni?iiaeaeueiee ?iciaae. A?aenooi?noue
a?ae’?iieo i?i?ioi?a ooieoe?? L -(k) ii an?e BZ na?ae/eoue i?i
no?ee?noue iaeiioaciiai iaaii?yaeeiaaiiai oaa?aeiai ?ic/eio ii
a?aeiioaiith aei oaciaeo ia?aoai?aiue oeio aoiiiiai aii?yaeeoaaiiy /e
?iciaaeo.

Noaia ?ic?aooieo Oo?’?-eiiiiiaio?a aeeth/aea aecia/aiiy ye
aeaoi?iaoe?eii coiiaeaii?, oae ? «aeaeo?io?i?/ii?» neeaaeiaeo
i?aeaoiiii? aca?iiae??. Aeey aoii?a aeii?oee cai?uaiiy:

(R — R’) (1)

?

(k). (2)

Aoei aeei?enoaii iayai? aenia?eiaioaeuei? aeai? i?i iiaeoe? ai?cio?iiii?
i?oaeiino? CIJ, a oaeiae i?i eiioeaio?aoe?eii-oaiia?aoo?i? caeaaeiino?
iiaeoe?a ? ia?aiao??a e?enoae?/ii? a?aoee nieaa?a. I?e ?ic?aooieo
«aeaeo?io?i?/ii?» neeaaeiai? aeei?enoai? iai?aaii??e/i? aeaieo i?i
ia?aiao?e oeaio?aeueii-neiao?e/ieo iioaioe?ae?a oeio Ai?ia-Iae??a.

Ia ?en.1 iieacai? caeaaeiino? aeanieo cia/aiue iao?eoe? Oo?’?-eiiiiiaio
aia?a?e ci?ooaaiiy L w(k) acaeiaae iniiaieo neiao??eieo iai?yie?a o 1-e
BZ aeey aaoaeoi?aeieo ( symbol 97 \f «Symbol» \s 13 Ti-Fe, symbol 97
\f «Symbol» \s 13 Ti-Cr), a ia ?en. 2 — aeey ?ciii?oieo ( symbol 97 \f
«Symbol» \s 13 Ti-Mo, symbol 97 \f «Symbol» \s 13 Ti-Nb, symbol 97
\f «Symbol» \s 13 Ti-Ta) nenoai. No?oeoo?a 1-? BZ aeey AUO e?enoae?/ii?
a?aoee iaaaaeaia ia ?en. 3. sse aeaeii c ?en. 1 oa 2, iayai?noue
aaniethoieo (iaaaoeaieo) i?i?ioi?a aeanieo cia/aiue iao?eoe?
Oo?’?-eiiiiiaio aia?a?e aca?iiae?? na?ae/eoue i?i oa, ui a on?o
i?iaiae?ciaaieo oaa?aeeo ?ic/eiao iiaeeeaa aoiiia aii?yaeeoaaiiy c
ooai?aiiyi i?inoi?iaeo iiaeoeyoe?e, a?aeiia?aeii acaeiaae iai?yie?a AE
aeey aaoaeoi?aeieo nenoai ? AI aeey ?ciii?oieo nenoai. Iaeaeaa iai?yiee,
AE ? AI, eaaeaoue o aaceni?e ieiuei?, ui aeaco? ia iiaeeea?noue
iiaeoeyoe?e o ?iciiae?e? aoii?a naia a aaceni?e ieiuei?. Oea na?ae/eoue
i?i iiaeeea?noue aoiiiiai aii?yaeeoaaiiy a a?aeiia?aeieo nenoaiao, oiaoi
aii?yaeeoaaiiy i?ieaea ca ??cieie no?oeoo?ieie oeiaie, iano?eeeie ii
a?aeiioaiith aei iiae?eo ia aioeoaci? ?cino?oeoo?i? aeiiaie, c
aeiaaiia??iaee/iei ?iciiae?eii aioeoacieo iaae aaea a iaeiioaciiio
noai?.

Aeey ?ciii?oieo nenoai i?iaiico?oueny ?iciiae?e iaeiiai c oei?a:

), (3)

), (4)

); (5)

(aea Cst — noao?iiao?e/ia cia/aiiy eiioeaio?aoe??; h 1, …, h5 ? h —
ia?aiao?e aeaeaeiai ii?yaeeo a?aeiia?aeieo oei?a).

A oie aea /an, aeey aaoaeoi?aeieo nenoai:

). (6)

?aae?caoe?y iiaeoeueiaaiiai aii?yaeeiaaiiai aoiiiiai ?iciiae?eo oeio (6)
ia i?ecaiaeeoue aei ci?ie aaenaaiiaeueii? neiao??? e?enoae?/ii? a?aoee
oeoaio, a oie /an ?iciiae?ee (3-5) noeioeththoue i?oi?iia?/i?
niioai?aiiy. Oea ocaiaeaeo?oueny c oaea caaaeoaaieie aenia?eiaioaeueieie
niinoa?aaeaiiyie, a?aeiia?aeii aei yeeo i?oi?iia?/iee a symbol 178 \f
«Symbol» \s 13 -ia?oaineo ooai?th?oueny o?eueee a ?ciii?oieo nenoaiao.

Aiae?c io?eiaieo aeaieo i?i ia?aiao?e i?aeaoiiii? aca?iiae?? iieaco?,
ui, anoia?a/ iiia?aaei?i ioe?ieai, aeaoi?iaoe?eii coiiaeaia neeaaeiaa
iiaii? aia?a?? aca?iiae?? aoii?a oaa?aeiai ?ic/eio cai?uaiiy aeey AUO
a?aoee iiaea aooe nooo?aei. I?e oeueiio aeey nenoai ?ciii?oiiai oeio a?i
i?eaeecii a 2 symbol 184 \f «Symbol» \s 13 4 ?ace a?eueoee, i?ae aeey
aaoaeoi?aeieo, ? neeaaea? ~ 0,2 symbol 184 \f «Symbol» \s 13 0,6
aA/aoii.

O?ao?e ?icae?e i?enay/aii ?ic?aooieia? oa aiae?cia? ia?aiao??a
i?ae?iiii? aca?iiae?? a a?ia?ieo IOeE oaa?aeeo ?ic/eiao cai?uaiiy ia
iniia? symbol 98 \f «Symbol» \s 13 -oeoaio. Aoei aeei?enoaii o? ae
iaoiaee ?ic?aooieo, ui ? o iiia?aaeiueiio ?icae?e?, c o?aooaaiiyi ?ioi?
neiao??? e?enoae?/ii? a?aoee ?ic/eiieea – oeoaio. ?acoeueoaoe
i?aaenoaaeaii ia ?en. 4., a ia ?en. 5 i?aaenoaaeaii no?oeoo?o 1-e BZ
IOeE a?aoee.

Iieacaii, ui iiaaae?iea aeii?oeiai? i?aenenoaie IOeE oaa?aeiai ?ic/eio
cai?uaiiy aecia/a?oueny, a iniiaiiio, “aeaeo?io?i?/iith” neeaaeiaith
aia?a?? aca?iiae?? aeii?oeiaeo aoii?a o b-Ti.

Oa?aeoa? eiio?ao?aoe?eieo caeaaeiinoae aca?iiae?? aoii?a cai?uaiiy a
?ciii?oieo ? aaoaeoi?aeieo nenoaiao iaeiaeiaee: aaniethoi? (iaaaoeai?)
i?i?ioie Oo?’?-eiiiiiaio?a aia?a?e “ci?ooaaiiy” eaaeaoue o
aenieineiao?e/i?e oi/oe? H ia iiaa?oi? BZ (?en. 4), ui na?ae/eoue i?i
iano?ee?noue oeeo nieaa?a aei aoiiiiai aii?yaeeoaaiiy ca?aeii:

, (7)

(noao?iiao?e/iee neeaae cst =1/2, h1 symbol 190 \f «Symbol» \s 13
ia?aiao? aeaeueiueiai ii?yaeeo).

Oo?’?-eiiiiiaioe aia?a?e “ci?ooaaiiy” aeey an?o i?iaiae?ciaaieo nenoai
iathoue oaeiae iaaaoeaiee “eieaeueiee” i?i?ioi o oeaio?? BZ (oi/ea
symbol 71 \f «Symbol» \s 13 ). Aeecuee?noue cia/aiue aaniethoieo
eieaeueieo i?i?ioi?a Oo?’?-eiiiiiaio?a aia?a?e “ci?ooaaiiy” aeicaiey?
i?eionoeoe, ui ca iaaieo oiia (iai?eeeaae, i?e noeioethth/iio aieea?
aeii?oie i?iieeiaiiy) ni?iiaeaeueiee ?iciaae iiaea aooe ia?aeiiei. Naia
oeei iiaeia iiynieoe ?ica?aei?noue aenia?eiaioaeueieo aeaieo uiaei
oa?aeoa?o ia?aoai?aiiy o aenieioaiia?aoo?i?e IOeE-oac?.

Ioieiaeaeaiiy aii?yaeeiaaiiai nieaao (?c iayaiith iaaeno?oeoo?ith) ?
ai?noii eaaoth/iai aeaiaioo ieae/a cst, i?e aeaye?e, caeaaei?e a?ae
o?i?/iiai neeaaeo, oaiia?aoo??, iiaeiii noi?iaiaeaeoaaoeny iiaoi?ieie
oaciaeie ia?aoai?aiiyie, oaeeie ye aoi?eiia aii?yaeeoaaiiy aai
ni?iiaeaeueiee ?iciaae. Cacia/aia iiaeeea?noue ni?iiaeaeueiiai ?iciaaeo
aenieioaiia?aoo?ii? symbol 98 \f «Symbol» \s 13 -oace a nieaaao Ti ?c
symbol 98 \f «Symbol» \s 13 -noaa?e?caoi?aie ocaiaeaeo?oueny c aeayeeie
aenia?eiaioaeueieie niinoa?aaeaiiyie, i?ioa caeeoa?oueny a?aee?eoei
ieoaiiy i?i aeieeiaiiy iiaeoeueiaaieo no?oeoo? i?e ?iciaae? ? iiaeeeaiio
oniaaeeoaaii? ?o ia?oaineoieie oacaie.

*aoaa?oee ?icae?e aeena?oaoe?? i?enay/aii oa?iiaeeiai?/iiio aiae?cia?
a?ia?ieo oaa?aeeo ?ic/ei?a cai?uaiiy ia iniia? oeoaio. Aeaniei
?acoeueoaoai ia?aaeo? ei?ioeee iaeyae ?icaeiooi? Oa/aoo?yiii oai???
a?ia?ieo oaa?aeeo ?ic/ei?a o /anoei?, ui noino?oueny aecia/aiiy
eiioeaio?aoe?eii-oaiia?aoo?ieo iaae ?nioaaiiy ??aiiaaaeieo noai?a,
?ic?aooieo iaeanoae noaa?eueiino? IOeE oa AUO oaa?aeeo ?ic/ei?a ia
iniia? oeoaio, a oaeiae aiae?co iiaeeeainoae aoi?eiiiai
?iciaaeo/aii?yaeeoaaiiy iiai?noth aii?yaeeiaaieo IOeE oaa?aeeo ?ic/ei?a.

Aecia/aiiy iaae no?eeino? IOeE oaa?aeeo ?ic/ei?a ia iniia? oeoaio o
?iaio? i?iaiaeeeinue ia iniia? e?eoa??th ao?aoe noaa?eueiino?:

. (8)

Aeey AUO oaa?aeeo ?ic/ei?a e?eoa??e (8) aoei iiaeeo?eiaaii aeey aeiaaeeo
neeaaeii? e?enoae?/ii? a?aoee, ui i?noeoue aea? aocaeuei? i?aea?aoee:

. (9)

— Oo?’?-eiiiiiaioe aia?a?e “ci?ooaaiiy” a oi/oe? aaniethoiiai i?i?ioio
(aeey ae?aco (9) – aaniethoiiai i?i?ioio ieaeiuei? a?eee aeanieo
cia/aiue iao?eoe? Oo?’?-eiiiiiaio aia?a?e “ci?ooaaiiy”), ui ? ooieoe??th
oaiia?aoo?e oa eiioeaio?aoe??. Oaiia?aoo?a iiaeeeaiai aoi?eiiiai
?cino?oeoo?iiai ia?aoai?aiiy aeey aeiaaeeo IOeE oaa?aeiai ?ic/eio
aecia/aeanue ye:

. (10)

Ia’?aeiai? ??aiiaaaei? ae?aa?aie no?eeino? oaa?aeeo ?ic/ei?a o nieaaao
??cieo nenoai, iaaaaeaii ia ?en. 6. I?iaaaeaii aiae?c io?eiaieo
ae?aa?ai, c yeiai iiaeia c?iaeoe iniiaiee aeniiaie, ui
oaiia?aoo?ii-eiioeaio?aoe?ei? iaae? no?eeino? AUO oaa?aeeo ?ic/ei?a
?ciii?oiiai oa aaoaeoi?aeiiai oei?a aei ?cino?oeoo?ieo ia?aoai?aiue
nooo?ai ??ciyoueny: a ia?oiio aeiaaeeo ao?aoa no?eeino? a?aeaoaa?oueny
i?e a?aeiinii aenieeo oaiia?aoo?ao, oiae? ye AUO oaa?ae? ?ic/eie
aaoaeoi?aeiiai oeio caa??aathoue no?ee?noue aei iano?eueee iecueeeo
oaiia?aoo?, ui aii?yaeeoaaiiy aai ?iciaae oaa?aeiai ?ic/eio noathoue
i?aeoe/ii iaiiaeeea? aiane?aeie iecueei? aeeooc?eii? ?ooeeaino? aoii?a.
O aii?yaeeiaaieo IOeE oaa?aeeo ?ic/eiao aeayeeo nenoai (Ti-Ta, Ti-V,
Ti-Cr) iiaeeeaee aoi?eiiee ?iciaae ca ni?iiaeaeueiei iaoai?ciii,
?ic?aooiee iieacaee oaeiae iiaeeea?noue ?nioaaiiy o?ee?eoe/ii? oi/ee ia
??aiiaaaeieo ae?aa?aiao no?eeino? aeacaieo ?ic/ei?a.

I’yoee ?icae?e ia? ca iaoo aiae?c e?enoaeiaaiiao?e/ieo ia?aiao??a
i?oi?iia?/iiai ia?oaineoo, a oaeiae i?e?iaee eiai iiiiaeiiai?caoe?? i?e
ca?eueoaii? ai?noo eaaoth/iai aeaiaioo. Cai?iiiiiaaia a aeai?e ?iaio?
iiaeaeue i?oi?iia?/iiai ia?oaineoo o oi?i? ieineiia?aeaeueii?
iie?aeiiaiii? ieanoeie a?aeiia?aea? ?aaeuei?e oi?i? ia?oaineoieo
e?enoae?a. I?e oiia? iaoooaaiiy aia?a??th i?e?iniioai?aiue, ui
aeieeathoue o i?noeyo aeoiaeo aeiiai?a ia i?aeoacio a?aieoeth, ae?ac
aeey i?oaeii? aia?a??, ui aeieea? ia iiaa?oi? ieanoeie ia?oaineoo
i?aaenoaaeaii ianooiiei /eiii:

, (11)

— oaici? aoaeoeaieo ai?cio?iiieo iiaeoe?a i?oaeiino?:

, (12)

— oaici? na?aaeiuei? iae?ineii?/ii? aeanii? aeaoi?iaoe?? ieanoeie
ia?oaineoo. A iiaeae? i?eeiyo? iaaeeaeaiiy i?i oa, ui ai?cio?iii?
iiaeoe? i?oaeiino? ieanoeie ia?oaineoo oa ai?cio?iii? iiaeoe? i?oaeiino?
nieaao ??ai?, a na?aaeiy iae?ineii?/ia aeania aeaoi?iaoe?y ieanoeie
ia?oaineoo aecia/a?oueny ye:

, (13)

Aaaaeaiiy na?aaeiuei? aeanii? aeaoi?iaoe?? (13), yea aei?aaaeaii
iae?noth e?i?eieo ?ici???a aeiiai?a o aea?eieeia?e i???ioaoe?? a
ii??aiyii? c e?i?eieie ?ici??aie ieanoeie ia?oaineoo, aeicaiey?
nei?enoaoeny e?eoa???i ioeueiaiai cia/aiiy i?oaeiuei? aia?a?? (i?e
??aiiaaaei?e i???ioaoe?? ieiueie aaa?oono), iia’ycaii? ?c eiaa?aioiei
ni?yaeaiiyi e?enoae?/ieo a?aoie ia?oaineoo oa iao?eoe?. I?i?i?caoe?y
(11) ca ia?aiao?aie a oa n aeicaiey? io?eiaoe ?o ??aiiaaaei? cia/aiiy.
?acoeueoaoe ?ic?aooie?a iaaaaeaii ia ?en. 7 oa 8.

I/aaeaeiith ? ??cieoey a oa?aeoa?? ci?i e?enoaeia?ao?/ieo ia?aiao??a
nenoai Ti-Mo ? Ti-Ta oa, c ?ioiai aieo, Ti-Nb. sseui ?acoeueoaoe
?ic?aooieo aeey ia?oeo i?aeoe/ii i?aeoaa?aeeee iayai? aenia?eiaioaeuei?
aeai? (a oiio /ene?, ? ?acoeueoaoe E??no?aia i?i iiaeeea?noue
iiiiaeiiai?caoe?? a nieaaao Ti-Ta), oi aeey nieaa?a nenoaie Ti-Nb
ia?aaeaa/aia aiiiaeueia ci?ia ia?aiao??a ?c ?inoii eiioeaio?aoe??
i?ia?th, a naia: iacaeaaei?noue /anoee aea?eieeiaeo aeiiai?a a?ae
eiioeaio?aoe?? (?en. 7) oa iacae/aei? aeey oeoaiiaeo nieaa?a i??aioaoe??
aaa?oonieo ieiuei i?e aenieeo eiioeaio?aoe?yo i?ia?th (?en. 8).
Eiio?ieueiee aenia?eiaio i?aeoaa?aeea ?acoeueoaoe ?ic?aooie?a (?en. 9).

INIIAI? ?ACOEUeOAOE OA AENIIAEE

Iaea?aeai? a ?iaio? ?acoeueoaoe aeicaieythoue c?iaeoe ianooii? aeniiaee:

1. Iieacaii, ui AUO oaa?aeee ?ic/ei o nieaaao oeoaio c i?ia??i,
iie?aaeaiii, oaioaeii, cae?cii oa o?iiii ? iano?eeei ii a?aeiioaiith aei
aoiiiiai aii?yaeeoaaiiy ?c oi?ioaaiiyi aioeoacieo ?cino?oeoo?ieo
aeiiai?a, i?e/iio ?ici?uaiiy aoii?a o oeeo nenoaiao iiaeiii aooe
iiaeoeueiaaiei o ieiuei? aaceno, i?ioa acaeiaae ??cieo iai?yie?a aeey
nieaa?a ?ciii?oiiai oa aaoaeoi?aeiiai oei?a. Aeey ia?oeo oa?aeoa?
iiaeoeyoe?? ? oaeei, ui ni?ey? iiya? i?oi?iia?/ieo niioai?aiue
e?enoae?/ii? a?aoee.

2. Anoaiiaeaii oeie iaaeno?oeoo?, oi?ioaaiiy yeeo ia ii/aoeiaeo noaae?yo
aii?yaeeoaaiiy aai ?iciaaeo aenieioaiia?aoo?ii? IOeE symbol 98 \f
«Symbol» \s 13 -oace ? oa?iiaeeiai?/ii iaeaea?aei?eoei.

3. Iieacaii, ui aeaoi?iaoe?eii-coiiaeaia neeaaeiaa aia?a?? aca?iiae??
aoii?a cai?uaiiy a AUO oaa?aeiio ?ic/ei? ? nooo?aith c oi/ee ci?o eiai
oa?iiaeeiai?/ii? no?eeino? ? neeaaea? aei 0.2 – 0.6 aA/aoii ca
aaniethoiith aaee/eiith. Ha i?ci?oeo noaae?yo ?cino?oeoo?iiai oaciaiai
ia?aoai?aiiy ?ieue aeaoi?iaoe?eii-coiiaeaii? neeaaeiai? iiaea noaoe
aecia/aeueiith, ui iiaeiii i?ecaiaeeoe aei ?iciaaeo oaa?aeiai ?ic/eio ca
ni?iiaeaeueiei iaoai?ciii.

4. Anoaiiaeaii oaiia?aoo?ii-eiioeaio?aoe?ei? iaeano? noaa?eueiino? IOeE
oa AUO oaa?aeeo ?ic/ei?a oeoaio c iie?aaeaiii, i?ia??i, oaioaeii,
cae?cii ? o?iiii. Iieacaii, ui aeey nieaa?a aaoaeoi?aeiiai oeio, ia
a?aei?io a?ae nieaa?a ?ciii?oiiai oeio, ao?aoa no?eeino? iiaeiia
a?aeaoaaoenue ca aeoaea iecueeeo oaiia?aoo?, ui ?iaeoue ia?ao?ae aei
??aiiaaaeiiai noaio i?aeoe/ii iaiiaeeeaei.

5. Anoaiiaeaii iiaeeea?noue ?nioaaiiy o?ee?eoe/ii? oi/ee ia ??aiiaaaeieo
oaiia?aoo?ii-eiioeaio?aoe?eieo ae?aa?aiao no?eeino? nieaa?a oeoaio c
oaioaeii, aaiaae??i oa o?iiii.

6. Anoaiiaeaii, ui a a?ia?ieo nieaaao oeoaio c symbol 98 \f «Symbol» \s
13 -noaa?e?caoi?aie ?nio? caeaaei?noue a?aeiinii? ia’?iii? /anoee
aeiiai?a, ui iathoue aea?eieeia? i???ioaoe?? a a?aieoeyo e?enoaeo
ia?oaineoo, a?ae eiioeaio?aoe?? symbol 98 \f «Symbol» \s 13
-noaa?e?caoi?a, i?e/iio ca?eueoaiiy /anoee aeiiai?a c iaaiith
i???ioaoe??th c eiioeaio?aoe??th iiaea iaoe nai?i iane?aeeii
iiiiaeiiai?caoe?th ieanoei ia?oaineoo.

7. ?ic?aoiaai? ??aiiaaaei? iieiaeaiiy aaa?oonieo ieiuei ia?oaineoo a
caeaaeiino? a?ae ai?noo symbol 98 \f «Symbol» \s 13 -noaa?e?caoi??a.
Ia?aaeaa/aia oa aenia?eiaioaeueii i?aeoaa?aeaeaia aiiiaeueia aeey
oeoaiiaeo nieaa?a ci?ia i??aioaoe?? aaa?oonieo ieiuei a?ae iiethna {443}
symbol 98 \f «Symbol» \s 13 aei iiethna {413} symbol 98 \f «Symbol» \s
13 a nieaaao oeoaio c i?ia??i i?e ca?eueoaii? ai?noo i?ia?th.

INIIAI? ?ACOEUeOAOE AeENA?OAOe?? IIOAE?EIAAI? O ?IAIOAO:

1. Eaaneoei I.I., Einaiei I.N., Oaa/aiei N.A. E?enoaeeiaaiiao?e/aneea
ia?aiao?u symbol 97 \f «Symbol» \s 13 «-ia?oaineoa a aeia?iuo nieaaao
oeoaia n symbol 98 \f «Symbol» \s 13 -noaaeeece?othueie yeaiaioaie //
Iaoaeeioeceea e iiaaeoea oaoiieiaee. — 1995. — O. 17, ?7. — N. 62-68.
(Eni?aaeaiey e ?en. 3. // Iaoaeeioeceea e iiaaeoea oaoiieiaee. — 1998. —
O. 20, ?4. — N. 82.).

2. Ivasishin O.M., Kosenko N.S., Shevchenko S.V. Crystallographic
Features of symbol 97 \f «Symbol» \s 13 «-Martensite in Titanium
Alloys // Journal de Physique IV, Colloque C8. — 1995, — V. 5, P.
C8-1017 — C8-1022.

3. Eaaneoei I.I.., Einaiei I.N., Oaa/aiei N.A., Oaoa?aiei A.A., Oeeiiai
E.E. Aeaoi?iaoeeiiiia e «yeaeo?ioeie/aneia» acaeiiaeaenoaey symbol 98
\f «Symbol» \s 13 -noaaeeece?othueo aoiiia caiauaiey a AIO-oeoaiiauo
nieaaao // Iaoaeeioeceea e iiaaeoea oaoiieiaee. — 1997. — O. 19, ?1. —
N. 8-18.

4. Eaaneoei I.I., Einaiei I.N., Oaa/aiei N.A., Oaoa?aiei A.A.
Acaeiiaeaenoaea e ?ani?aaeaeaiea aoiiia a nieaaao caiauaiey ia iniiaa
IOeE-oeoaia // Iaoaeeioeceea e iiaaeoea oaoiieiaee. — 1998. — O. 20, ?8.
— N. 60-66.

5. Eaaneoei I.I., Einaiei I.N., Oaa/aiei N.A., Oaoa?aiei A.A. O-n
iaeanoe oaciaie iaonoie/eainoe AIO- e IOeE-iaeii?iaeiuo oaa?aeuo
?anoai?ia caiauaiey ia iniiaa oeoaia // Iaoaeeioeceea e iiaaeoea
oaoiieiaee. — 1999. — O. 21, ?2. — N. 71-77.

Oaa/aiei N.A. Oa?iiaeeiai?/ia no?ee?noue oaa?aeeo ?ic/ei?a cai?uaiiy ia
iniia? oeoaio oa ?? aieea ia e?enoae?/io aoaeiao ia?oaineoo. -?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa
o?ceei-iaoaiaoe/ieo iaoe ca niaoe?aeuei?noth 01.04.13 — o?ceea iaoae?a.
— ?inoeooo iaoaeio?ceee ?i. A.A. Eo?aethiiaa IAI Oe?a?ie, Ee?a, 1999.

Aeena?oaoe?th i?enay/aii oai?aoe/iiio aecia/aiith
eiioeaio?aoe?eii-oaiia?aoo?ieo iaeanoae no?eeino? AUO ? IOeE oaa?aeeo
?ic/ei?a oeoaio ?ciii?oiiai (O?-Mo, O?-Ta, O?-Nb, O?-V) oa
aaoaeoi?aeiiai (O?-Fe, O?-Cr) oei?a ii a?aeiioaiith aei ?cino?oeoo?ieo
oaciaeo ia?aoai?aiue oa ?o iiaeeeaiai aieeao ia e?enoae?/io aoaeiao
ia?oaineoieo oac. Iieacaii, ui AUO oaa?aeee ?ic/ei ? iano?eeei ii
a?aeiioaiith aei aoiiiiai aii?yaeeoaaiiy ?c oi?ioaaiiyi aioeoacieo
?cino?oeoo?ieo aeiiai?a o an?o aea/aieo nieaaao, i?ioa eeoa a nieaaao
?ciii?oiiai oeio oa?aeoa? iiaeoeyoe?? eiioeaio?aoe?? i?e aoiiiiio
aii?yaeeoaaii? ni?ey? i?oi?iia?/iiio niioai?aiith e?enoae?/ii? a?aoee, a
ia?ao?ae aei aii?yaeeiaaiiai noaio a?aeaoaa?oueny i?e a?aeiinii aenieeo
oaiia?aoo?ao, ui a ?acoeueoao? i?eaiaeeoue aei ooai?aiiy i?oi?iia?/iiai
ia?oaineoo. Cai?iiiiiaaia iaoiaeieia?y ?ic?aooieo e?enoaeiaaiiao?e/ieo
ia?aiao??a i?oi?iia?/iiai ia?oaineoo, c aeiiiiiaith yei? ciaeaeaii
iiyniaiiy aoaeoo iiiiaeiiai?caoe?? ieanoei ia?oaineoo, a oaeiae
ia?aaeaa/aii aiiiaeueio iiaaae?ieo nieaa?a nenoaie Ti-Nb ?c ca?eueoaiiyi
ai?noo i?ia?th.

Eeth/ia? neiaa: oeoai, oaa?aeee ?ic/ei, i?aeaoiiia aca?iiae?y,
ia?oaineo, e?enoaeiaaiiao??y, aaa?oonia ieiueia.

Shevchenko S.V. Thermodynamic stability of the titanium based
substitutional solid solutions and their effect on the martensite
crystalogeometry. -Manuscript.

Thesis for a phys.-math. candidate degree by speciality 01.04.13 –
physics of metals. – The Institute for Metal Physics, NAS of Ukraine,
Kyiv, 1999.

Thesis is devoted to theoretical determination of T-C regions of
stability of h.c.p. and b.c.c. titanium based solid solutions of
isomorphous (Ti-Mo, Ti-Ta, Ti-Nb, Ti-V) and eutectoid (Ti-Fe, Ti-Cr)
types relatively to isostructural phase transformations as well as to
effect of these transformations on martensite crystal structure. It was
shown, for all systems studied, that h.c.p. solid solution is unstable
in relation to atomic ordering with antiphase isostructural domains
formation. Nevertheless only in alloys of an isomorphous type the
spatial modulation character promotes orthorhombic distortions of
crystal lattice, and the disorder-order transition temperature is
respectively high, that conducts the orthorhombic martensite formation.
It was proposed the method for orthorhombic martensite crystalogeometric
parameters determination, by using of which the explanation of
martensite plates monodomenisation phenomena was offered, and also the
unusual behavior of Ti-Nb system alloys with the increase of Nb contents
were predicted.

Key words: titanium, solid solution, interatomic interaction,
martensite, crystalogeometry, habit plane.

Oaa/aiei N.A. Oa?iiaeeiaie/aneay onoie/eainoue oaa?aeuo ?anoai?ia
caiauaiey ia iniiaa oeoaia e aa aeeyiea ia e?enoaeee/aneia no?iaiea
ia?oaineoa. -?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa
oeceei-iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.04.13 – oeceea
iaoaeeia. – Einoeooo iaoaeeioeceee ei. A.A. Eo?aethiiaa IAI Oe?aeiu,
Eeaa, 1999.

Aeenna?oaoeey iinayuaia oai?aoe/aneiio ii?aaeaeaieth
eiioeaio?aoeeiiii-oaiia?aoo?iuo iaeanoae onoie/eainoe AIO e IOeE
oaa?aeuo ?anoai?ia oeoaia eciii?oiiai (Oa-Mo, Oa-Ta, Oa-Nb, Oa-V) e
yaoaeoieaeiiai (Oa-Fe, Oa-Cr) oeiia ii ioiioaieth e ecino?oeoo?iui
oaciaui i?aa?auaieyi e eo aiciiaeiiio aeeyieth ia e?enoaeee/aneia
no?iaiea ia?oaineoiuo oac. Iieacaii, /oi AIO oaa?aeue ?anoai? yaeyaony
iaonoie/eaui ii ioiioaieth e aoiiiiio oii?yaei/aieth n oi?ie?iaaieai
aioeoaciuo ecino?oeoo?iuo aeiiaiia ai anao eco/aiiuo nieaaao, oai ia
iaiaa eeoue a nieaaao eciii?oiiai oeia oa?aeoa? iiaeoeyoeee
eiioeaio?aoeee i?e aoiiiii oii?yaei/aiee niinianoaoao i?oi?iiae/aneiio
eneaaeaieth e?enoaeee/aneie ?aoaoee, a ia?aoiae e oii?yaei/aiiiio
ninoiyieth i?ienoiaeeo i?e ioiineoaeueii aunieeo oaiia?aoo?ao, /oi a
?acoeueoaoa aaaeao e ia?aciaaieth i?oi?iiae/aneiai ia?oaineoa. Aeey
iienaiey oa?iiaeeiaie/aneiai iiaaaeaiey i?eianiie iiaenenoaiu
eniieueciaaiu oai?ey aeaieiuo oaa?aeuo ?anoai?ia Oa/aoo?yia e iaoiae
noaoe/aneeo eiioeaio?aoeeiiiuo aiei.

Iieacaii, /oi aeaoi?iaoeeiiii iaoneiaeaiiue aeeaae a yia?aeth
acaeiiaeaenoaey aoiiia i?eiane caiauaiey a aaenaaiiaeueiii oaa?aeii
?anoai?a nieaaia symbol 97 \f «Symbol» \s 13 -Ti n b-noaaeeece?othueie
yeaiaioaie yaeyaony nouanoaaiiui e ninoaaeyao ~ 0,2 symbol 184 \f
«Symbol» \s 13 0,6 yA/aoii (ii aaniethoiie aaee/eia), i?e/ai
aeaoi?iaoeeiiiia e “yeaeo?ioeie/aneia” acaeiiaeaenoaey aoiiia
b-noaaeeecaoi?a symbol 97 \f «Symbol» \s 13 -Ti aeieaeiu i?eaiaeeoue e
iiaeoeyoeee ?ani?aaeaeaiey iineaaeieo a aaceniie ieineinoe.
Aeaoi?iaoeeiiiia e “yeaeo?ioeie/aneia” acaeiiaeaenoaey symbol 98 \f
«Symbol» \s 13 -noaaeeece?othueo aoiiia caiauaiey a symbol 98 \f
«Symbol» \s 13 -Ti niaianoii aeieaeiu i?eaiaeeoue e oii?yaei/aieth ii
naa?ono?oeoo?ai, naycaiiui ni caacaeie aieiiaiai aaeoi?a kH oi/ee
neiiao?ee I a ia?aoiii i?ino?ainoaa.

I?iaaaeai aiaeec oeiia naa?ono?oeoo?, oi?ie?iaaiea eioi?uo aiciiaeii a
?anniao?eaaaiuo oaa?aeuo ?anoai?ao.

I?aaeeiaeaia iaoiaeieiaey ?an/aoa e?enoaeeiaaiiao?e/aneeo ia?aiao?ia
i?oi?iiae/aneiai ia?oaineoa, n iiiiuueth eioi?ie iauyniai yooaeo
iiiiaeiiaiecaoeee ieanoei ia?oaineoa, a oaeaea i?aaeneacaii aiiiaeueiia
iiaaaeaiea nieaaia nenoaiu Ti-Nb n oaaee/aieai niaea?aeaiey ieiaey.

Iaoiaeii ieieiecaoeee yia?aee aioo?aiieo oi?oaeo iai?yaeaiee, naycaiiuo
n eiaa?aioiui nii?yaeaieai ia?oaineoiie e enoiaeiie oac, iieacaii, /oi a
aeaieiuo nieaaao oeoaia n symbol 98 \f «Symbol» \s 12 -noaaeeecaoi?aie
nouanoaoao caaeneiinoue ioiineoaeueiie iauaiiie aeiee aeiiaiia a
aeaieieeiaie i?eaioaoeee a a?aieoeao e?enoaeea ia?oaineoa io
eiioeaio?aoeee symbol 98 \f «Symbol» \s 12 -noaaeeecaoi?a e
onoaiiaeaiu ?aaiiaaniua iieiaeaiey ieineinoae aaaeoona ia?oaineoa.

?acoeueoaou aeenna?oaoeee iicaieytho eo/oa iiiyoue aeaoaee oaciauo
aeeaa?aii e iniaaiiinoe e?enoaeeiaaiiao?e/aneiai no?iaiey aeaieiuo
oeoaiiauo nieaaia.

Eeth/aaua neiaa: oeoai, oaa?aeue ?anoai?, iaaeaoiiiia acaeiiaeaenoaea,
ia?oaineo, e?enoaeeiaaiiao?ey, ieineinoue aaaeoona.

Добавить комментарий

Ваш e-mail не будет опубликован. Обязательные поля помечены *