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Matematicheskie osnovy strukturnogo analiza kristallov

Matematicheskie osnovy strukturnogo analiza kristallov

          
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About the Book

Matematicheskie osnovy strukturnogo analiza kristallov Na russkom yazyke ne suschestvuet geometricheskoj kristallografii, kotoraya byla by napisana ne dlya mineralogov, a dlya fizikov i lits, spetsializiruyuschihsya v strukturnom analize materialov. Sovremennyj fizik v voprosah, poddayuschihsya matematicheskomu analizu, bolee sklonen k tochnomu yazyku matematiki, chem k rassuzhdeniyam estestvennikov, i takoe polozhenie veschej ego konechno ne udovletvoryaet. My hotim etoj knizhkoj vospolnit etot nesomnenno suschestvuyuschij probel.Dve teorii, po nashemu mneniyu, vozvyshayutsya nad geometricheskoj kristallografiej: teoriya simmetrii kristallicheskogo veschestva i teoriya pravilnoj ustanovki kristalla. Pervoj izdavna bylo posvyascheno bolshoe kolichestvo rabot kak kristallografami, tak i matematikami. Vtoroj - gorazdo menshe, chto obyasnyaetsya temi malymi vozmozhnostyami tochno reshit vopros o pravilnoj ustanovke, kotorye suschestvovali do razvitiya rentgenovskogo analiza.Tolko Fedorov v znamenityh rabotah po pravilnoj ustanovke, nazvannyh im „kristallohimicheskim analizom" i zakonchivshihsya izdaniem nashej Akademiej Nauk kompendiuma "Das Kristallreich", sdelal konsekventnuyu popytku razreshit etot vopros, ishodya iz vneshnej formy kristalla. No, ishodya tolko iz vneshnej formy, odnoznachno reshit vopros o pravilnoj ustanovke a priori nelzya. Drugoe delo, esli polzovatsya dannymi rentgenoanaliza i himii kristalla. Togda eta zadacha-chisto matematicheskaya i v printsipe sovpadaet s znamenitoj uzhe reshennoj zadachej teorii chisel o privedenii trojnichnoj kvadratichnoj formy.Sobstvenno, dolzhna suschestvovat esche tretya teoriya, na kotoroj osnovyvaetsya opredelenie tonkoj struktury, no teoriya eta esche ochen malo razrabotana. V etom pervom izdanii nashej knigi my etoj teorii kasatsya pochti ne budem, no nadeemsya dat ee nachala v buduschem.Kniga eta predstavlyaet soboyu obrabotku seminariya, vedshegosya B. N. Delone zimoj 1932 - 33 g. v otdele diskretnogo analiza Instituta matematiki i mehaniki pri Leningradskom universitete.Obrabotka glavy I „Matematicheskih osnov" prinadlezhit v bolshej svoej chasti A. D. Aleksandrovu; v chastnosti emu prinadlezhit predlagaemyj v tekste vyvod osnovnoj teoremy o suschestvovanii parallelepipedalnoj perenosnosti. Vyvod ogranichennosti chisla razlichnyh Fedorovskih grupp sdelan po idee Frobeniusa (Berl. Ber., 1911). Ideya privedennogo dokazatelstva affinnosti abstraktno tozhdestvennyh Fedorovskih grupp prinadlezhit Biberbahu (Math. Ann., Bd. 72). Chislo 219 Fedorovskih grupp, u nas poluchaemoe, obuslovleno tem, chto my schitaem dve Fedorovskie gruppy razlichnymi togda i tolko togda, kogda oni razlichny kak abstraktnye gruppy. Esli prinyat vo vnimanie, chto 11 iz etih grupp realizuyutsya v trehmernom prostranstve v dvuh enantiomorfnyh formah, to i poluchaetsya obychno prinimaemoe chislo 230.Obrabotka pervoj chasti glavy II sdelana B. N. Delone, a vtoroj ee chasti N. N. Padurovym. My schitaem neobhodimym otmetit sleduyuschie punkty v etoj glave, kotorye po vidimomu yavlyayutsya nekotorym novovvedeniem: naprimer, razlichenie ponyatij, simvoly granej i simvoly pervyh setok, svyazannoe s ponyatiem o pervyh setkah, poluchenie setki Vejsa - Mebiusa pri pomoschi neposredstvennogo proektirovaniya parallelepipedalnoj sistemy, reshenie bolshinstva zadach na vychislenie kristallov vvedeniem tak nazyvaemyh affinnyh parametrov.Glava III predstavlyaet soboyu perevod raboty B.N. Delone.Osnovnye tri glavy napisany pod redaktsiej B.N. Delone.Statya "Opredelenie osnovnogo parallelepipeda povtoryaemosti pri pomoschi rentgenovskih luchej" sostavlena N. N. Padurovym; v nej razobran lish pervyj etap rentgenovskogo analiza.Voprosy opredeleniya tonkoj struktury, kak nuzhdayuschiesya v dalnejshej razrabotke, predpolagaetsya osvetit v dalnejshej podgotovlyaemoj k pechati rabote.My schitaem svoim priyatnym dolgom vyrazit blagodarnost professoru V. A. Tartakovskomu, vzyavshemu na sebya nemalyj trud perevychisleniya dlya proverki dannyh, pomeschennyh v tablitsah str. 180 i 181, a takzhe byvshemu prezidiumu Fedorovskogo instituta, v stenah kotorogo byli sdelany mnogochislennye doklady avtorov etoj knigi po voprosam, v nej rassmatrivaemym. This book, "Matematicheskie osnovy strukturnogo analiza kristallov. Fizika", by B. Delone, N. Padurov, A. Aleksandrov, is a replication of a book originally published before 1934. It has been restored by human beings, page by page, so that you may enjoy it in a form as close to the original as possible. This book was created using print-on-demand technology. Thank you for supporting classic literature.


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Product Details
  • ISBN-13: 9785458358439
  • Publisher: YoYo Media
  • Binding: Paperback
  • Language: Russian
  • Returnable: N
  • Weight: 475 gr
  • ISBN-10: 5458358430
  • Publisher Date: 01 Jan 2012
  • Height: 210 mm
  • No of Pages: 335
  • Spine Width: mm
  • Width: 148 mm


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