Маймистов Сборник задач по курсу Взаимодействие излучения с весчеством 1981
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2.i9:B rrpH6millreHHH 3lli:nllDioro nOIDI ,muTH IIpoCTJ>aHCTBeHlfYlO 3aBB CHMOCTIt aMUnHTy,D;bI BOnKbI CHrHllJIa B napaMe'lpH'leCICOM reaeparope,
2.20. Orrpenemm, ,HHKpeMeHT |
napaMetpit'leCICoro YCH1IBTeIDI B npa |
|||
6nH)l(eHHH sanaanoro nonK. OQeHHTb ero Bemf'lHHy WUI |
l t: All0 ~ ,~ = |
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, |
1011.-_ |
2- |
' |
' . , |
= t.ODjW"lo =10 |
urn/eM. |
, |
221. Onpenemrrs B rrpH6JIH)l(eHHH 3a,D;llHHOro nona HHTeHCHBHOCTIt air HanbHoii BOnKbI npa IIapaMeTpH'leCICOM neJIeHHH '1aCTOTIJI.
8
,"
2.22. HaRTH Ko3lfxtlHuueHT npe06pa30BaHHJI,,D;IDI cJl)"laeB napasserpa seocorc cno)l(eHBJI H Bbl'IHTaHHJI 'Ill.CTOT. (8 npH6nK)I(emm 3a,D;aHHoro nOJ!H).
2.23.Onpenemrrs BJIHJlHHe $a30BOro paccornacosaaaa Ha HHKpeMeHT
aapacraaaa B IIapaMe'lplflleCKoM ycamrrene.
2.24.Onpenenars Ko3$quiII,BeHT napaeserpaaecxoro rrpe06pa30BaHHH
'IllCTOTbI asepx, CQHTaH BbIIlOJIHeHHbIM ycnOBHC $a30Boro CKHXpoHH3Ma.
2.25.Bsmecra YCiIOBHe caMOB036Y'!C,o;eHHJI OIITH'leCKOrO nspasserpa
qeCKOrO reaeparopa,
2.26.BbIBeCTH COOTHomeHHe, MJHJlli-Poy ,D;ID1 napaMetpH'IeClCOii reae
paUHH H napasserpanecxoro yCHJIemm: eaeroasrx BOJIH.
2.27.Hcxo,D;JI H3 COOTHoIlIeHHii Mmmepa onpenenars, rne K03$cPHIJ;H
eHT npeo6pa30BaHBJI BO sropyio rapssoaaxy 60JIbIlIe: B 1"e |
ImH |
a |
LiNg o~? |
2.28. OQeHBTb K03$$HIJ;HeHT rrpe06pa30BaHHJI :80 BTO~ ~:fMOHHKY |
|||
B MOgenu raaa CBo60,D;HbIX anexrpoaoa KOHUeH'lpaIlHH N", 10 |
eM |
• |
|
2.29. Onpenenars Bemmmy Ko3$PHUHeHTa YCHJIeHBJI H:myqemUJ: Bon- |
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HbI cy6rapMoHHKH npa 06J1)"1emm ICpHCTaJIJIll npycrara H3J1)"1eHHeM |
CO z |
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rrasepa. |
|
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2.30. Bcerna na npa reaepanaa rapsaoaax MO::f<HO |
nossrcars :4>$eIC |
THBHOCTh npeoepaaosanas, nepeana K pe30HaHCHbIM yCJIOBHJlM, xorna nena
HeHHllH BOCnpHBM'lHBOCTb 3Ha'IHTeJIbHO B03paCTlleT?npHBeCTH npasepsr.
2.31. B rrpH6nu)l(emm 3a,D;aHHOrO nona onpenemrrs panayc JIY'UCa asrry
'1eHIDi aropok rapMOHHKH, eCJIH OCHOBHoe H3nY'leHBe - raYCOOB ny"'lOK.
3. KOMEI"I~AU.!I10HHOE
PACCEFiH~E
3.1.Bsrsecra ycnonae BOJIHOBOro CKHXpclHH3ME; AITn EKP.
3.2.Iloxasars, tI!O KOJlHHeapHbm cMIDi.POHIf3M JJ.ITK BKPHe MO>KeT ObITb
BbIIIonHeH B cpenax C HOPM~iJThHOH JJ:l'lCIIepcHeii..
33. Onperrernrn, yrOJI xonyca aHTHCTOKcoBCKOro EblHY'KJIeHHoro pac
ceJIHHJI H3 ycnOBHJI rrpocrpancrseaaoro (BOJIHOBoro) casxpoaassra.
3.4. B03MO)KHO 1IH cnoaraanoe aHTHCTOKCOBc-,coe paccesnae? OTBeT 060
CHOBaTb.
3.5.MO)KHO Jill CHH3HTI, nopor BbIHpX,lJ;eHHoro passaaoacxoro pacce-
HHBJI npa ycnosnn, 'ITO:
a)rrorepa otiycnoaneasr TOJIbKO aepxanasor:
5)norepa otiycnonneasr nOTepJIMH B cpene?
3.6.MO::f<HO nH CHH3HTl> rropor BblHy)K)1eHHOrO paraaaoacxoro pacce HHHH H3MeHHB )J)IHHy HllemcH C aKTHBHoH cpenoa?
3.7.Onpenerrars llaCTOTY, aa KOTOpOH HMeeTCH MaKCHMYM BbIHYJKJJ:eH
aoro KOM6HHaII,HOHHOrO paccesaaa,
'}
-
3.8. BbItlHCJIHTb K03qxpHUHeHT YCH.1JeHIDI Bblliyx<)J;eHHoro KOMoHHaIUl
OHHOro pacceaaas aa CTOKCOBOH KOMIIOHeHTe B aarpooeaaone npa nnoraocrn nasepaoro H3nyqeHHH 10 8 BT/CM 2 . Monexyna aarpooeasona OOna)1,l1eT non
HOCHMMeTOH'lHbIM KOneOOHHeM aa qaCTOTe |
W |
I |
no- |
1345 CM |
-1 |
|
27/ C. ::: |
H HMeeT |
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• |
|
|
|
·-30 |
Z |
|
nonaoe ceseaae CrrOHTaHHOrO KOMOHHaIl,HOHHOrO pacceaaas (5 =6 ·10 CM |
? |
mapasa xonetarensaoro yponna r/2JTc. :: 4 CM -1.
3.9. ITPH ycnoaasx npeW>ItJ;Yll.\eH 3a)1,l11JH onpenenars noporoayto MOT NOCTh rrOTOKa H3nyqemuI OKf )lITH B03HHKHOBeHHiI BbIHy;KgeHHOro KOMOH
aauaoaaoro pacceaaaa, eClIH K03$4>HllHeHT nornomeana HHTpo6eH30na pasea
0 |
" |
-1 |
• |
' |
,,,-CM |
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3.10. Orrpe,1J;eJIHTb MaKCHManbHoe saasenae OTHOCHTeJIbHOrO CLJ;BHfa |
||
llaCTOTbI CBeTa, paccemmoro 'na aKyCTHlJecKHX xonefiaaaax B xsapne. |
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|
|
3.11. OueHHTh rropanox BeJIHlJHHbI noporosoa MO~HOCTHBPMB B xsap |
ne. CKOpOCTb 3BYKa Ifc:: 3' 10 1 M/C, MO~lrrbyrrpyrocrn T:: 5·10 fOH/M ,
K03<P<PHUHeHT 3rreKTpoCTpHKUHH |
Y"::: |
10 |
cP/M. OIITHlJeCKaH H axycra |
|
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(J |
|
Lon.::: 1 M, |
-3 |
'1eCKaH}])lHHbI saryxaaas, COOTBeTCTBeHHo: |
Lc;v:: 10 M. |
|||
Jlmrna BOmIbI rrasepnoro H3rryqeHHH |
A.:: |
1,06 fit . |
|
4.ABYX~OTOHHOE
nOr.nOIl4EH~E
4.1.ITo reopaa B03My~eHHH HaRTH K03<p<pHI.{HeHT ABYX<POTOHHoro no rJIO~eHHH B CHCTeMe, oorra)J.alO~eH)Jy.CKpeTHbIM cnexrpoea.
4.2.Onesnrs ceseaae ilByx<poroHHoro nornonteaaa B aTOMe ue3~ Ha
rrepexone 6 S 1/:, - 9 D "/;. )lITH H3rryqeHHH pytiaaonoro naaepa ( A :: 6940 A ),
_ c MO~Hoc.rbID aanyseaaa 10 9 BTfCM 2. •
4.3.Bo3MOlKHO JIH )J;BYX¢oToHRoe norrrouteaae asnyneaaa nonapaso
BaHHOrO no xpyry?
4.4.HaJ1TH 3aKOH ocnafineaaa HHTeHcHBHocru nysacsera, npoxonmuero
xepea nayxdioroaao-rrorncmaiouryro cpeny,
4.5.HaRTH JaKOH H3MeHeHHH CTerreHII nonspasanaa nHHeiiHo! nonspaso
BaHHOTO caerosoro rryxa, npoxonmnero sepes ABYX<POTOHHO-ITOrnOIllalO~YlO
cpeny, ofinyvaesryio UKpKyJIHpHO nonapasauaoaasna CBeTOM TOR JKe qaCTOThI.
4.6.HaHTIi 'laCTOTH)'1O 3aaIICHMOCTh K03<P<PHlUieHTa AByx<poToHHoro
nOrJIOmeHHH B LJ;Byx,mtHOM nonynpoaonsaxe C rrapaOOml'leCKHM 3aKOHOM
nacnepcaa, ecrnrnnnonsasre nepexonsi:
a) paspenren - pa3pemeHHhIe, (0) |
sanpemea - paspeureausre , (E) 33. |
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rrpern;eH -- 3arrpemeHHb!e. |
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4c7< |
Onpenermrs ECPO£THCCTb B030ylK,[(emul nepxnero ypOBHH B rpex |
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yposaesoa cxcresre npz .cillOXHOl\1 pesoaaace: |
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10 |
-: .;:.4)Z~ 1 (..)2., |
=:: aJ3 2.. ~ |
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, |
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4.8. Iloxasars, 'ITO nonneposcxoe ymapeaae He CKIDKeTCH Ha 3lP<peK |
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THBHOCrn nBYX<PoTOHHoro nornomeaas CBeTOBbIX aona C qaCTOTaMH |
W, |
H |
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€AJz. |
,pacrrpocTpaHHIO~CH HaBcrpeqy npyr )J;pyry, H (,,)f + ""3. = (,.)0 |
, |
|
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rne |
c.J., - |
qaCTOTa pe30HaHCHOrO nepexona. |
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4.9. KaKaH HeJIHHeHHaJI BOCrrpHHMlJHBOCTh orsesaer aa mmeHHe nsyx |
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<pOTOHHOro rrorno~eHHH? |
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|
4.10. |
Ilorrysars <pnYKTaIJ;HOHHO-AHCCHHaTHBHyIO reopessy AIm nBYx<po |
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roaao-nornouraromea cpensr. |
|
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|
4.1 L |
OueHHTb HarrpJDKeHHOCTb 3JIeKrpHIJeCKOrO nons CBeTOBOH BOJIHbI, |
npa KOTOpOH K03<P<PHIl,HeHT nsyxdioroasoro nornomeaaa CpaBHHM C K03$ <pHI.\HeHTOM OIJ,HO<poTOHHoro rrornomenaa.
5.HEI1Ii1HEI7IHAR
rEOMETPW,IECKAA
OnT~KA
5.1.Hcxona H3 uemmeaaoro napationasecxoro ypaBHeHHH noxasars
aeycroiorasocrs nnocxoa BOlIHbI H HaRTH noporonoe 3HaqeHHe HHTeHCHBHOCl1L
5.2.Ha OCHOBe O)J;HOMepHoro napationasecxoro ypaBHeHHH onpene rmrs CTaIJ;HOHapHbrn: npoqiam, HMIIylIbca (yenaaenayre BOmIy) , B03HHKaIDillero
B pesyns'rare caMOMonyJIHIJ;HH,
5.3. Ocnoasreaacs aa pesynsrarax rrpe,1.\bl)J;j'lUeft 3a)1,l1'1H onpenemrrs,
KOTOpbIH H3 rmyx CraUHOHapHbIX HMTIynbcoB ABHlKeTCH obIcrpee, eCJIH:
a)HMIIynbCbI UMe.lOT pasayro aMIIJIHTYny,
0)HMIIyrrbcbl pa3J1H'lHOli nnarensaocra,
B)HMIIYlIbCbI OTJlHIJaIOTCli ITO saepraa.
5.4.Hcxona H) aerraaeauoro napafionasecxoro ypasaenaa onpene
JIHTb panayc xasana, B03HHKaIOli.\erO rrpH CaMo<POKycHpoBKe UKjlHHIlpHIJe· cxoro cseroaoro nyuxa. (paCCMOTpeTb CTIl4"JlOHapHbrn: pe)KHM C£iMoQ>OKyCHw
poBKH).
5.5.113 ypasaenaa Hemffiep.HOH reOMeTpHIJeCKOH OITTHKH onpenenars
npopans CBeTOBOH y;::r.apHOH BOlGli", |
|
|
||||||
5.6. Onpenerrars |
KpHTHlIecKyIO |
MOillHOCTh |
nasepaoro H3Jl)"leHHH Hl!. |
|||||
AITHHe BOmIbI |
A = |
0,69/'4.- |
|
B cepoyrnepoae C HeJIHHeHHbIM noxaaareness |
||||
npenosereaas |
n z.:: |
.,..,-10 |
|
~fC'" |
- |
A. |
||
IV |
|
en L |
J, npa KOTOpOH )J;H<ppaKUHOHHaH pacxona- |
MOCTb xosmeacapyercs caMOq)QKyGlpOBKOH.
5.7. 113 yCJIOBIDI npensrnyutea Ja,lll!tm orrpenenars paCCTO?JfHe no 06
nacra casrorpoxycapoaxa, ecna MOlUHOCTh H3JIY"eHHH npeasnnaer KpHTHlJe
cxyio B 2 pasa.
1 1
.1
5.8. Ha nnacraaxy H3 HemmeiiHoro seurecrsa TOJIIllHHOH t nepnen
nmcYIDIpHO K HeM nanaer nnocxaa BOnKa C aMlInHTynoii: snexrpasecxoro nona,
H3MeHmomeHCJI no 3llKOHY E ("t) |
,rjl;e |
7" |
- paCCTOJlHHe OT nenrpa CBe |
|||||
TOBOro nysxa. Ha paCCTOJlHHH f |
or nepenaea rpasa rrnaCTHHKH npOHCXO;lJ;HT |
|||||||
¢aKycHpoBKa 3TOro nysxa. Onpenenars BH,rJ; ¢ym<IJ.HH |
E ("t-J 2. |
,eCJIH noxa |
||||||
3aTeJIb npenceereaaa rrnaCTHHKH HMeeT RIm: . ri.. : |
no + nz..E |
|
||||||
5.9. il,Hmrn,!1.pHlJ:ecKHii: nyqoK CBeTa, paJJ;HycoM |
a... |
nanaer nepneana |
||||||
KyID!pHO aa IUIaCTHHKy H3 HenHHeHHoro aeuiecraa TOJlllJ;HHOH |
e |
If aa pac |
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cromnrn f |
or nepensea ee rpaaa $OKyc-rlpyeTCJi. Onpenenars panaansaoe |
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pacnpeneneaae flOKa3aTeJIH rrpenosaneaaa |
n..:il t z) |
, eCJIH rroJIHbm rroxasa |
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rens npenossrreuaa ecrs rt: '"no -v. n: 2. ( "t) E a |
• |
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5.10. Ha OIJ,HOpOIJ;HYI<J rrony6ecKOHe<lliYIO HenHHeHHYIO cpeny nanaer |
||||||||
rrepneamncynapno K ee rpaaaue cserosoa rrysox |
pa;lJ;HycoM |
|
a. If aa rnyolfHe |
f ¢OKycHpyeTcH. Iloxasarens rrpenOMJIeHHH 3aBHCHT OT aMIInHTYAbI suem
Hero ITOnJI KaK |
n: "" |
n Q + f1,2. |
1:2. |
. Onpenenars 3llBHCIIMOCTh :f OT MOmHO~ |
ern H3JIY'1eHHH |
P |
,eCnH |
P it" |
PKp , P1<1' - nopor CaMO<pOKycn:pOBKIf. |
5.11. Kaxas HenHHeMHaH BOCrrpHHM'lliBOCTh OTBeTCTBeHHa sa HBJIeHHe |
||||
caMC<pOKyCIlpOBKlf? |
|
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|
5.12. MOJKeT |
JIH cnysarsca, srro caMOlPOI<ycHpoBKa CBeTOBoro nysxa |
He npOlfCXOiJ,HT, xora MOmHOCTh ero npessnnaer noporoayro?
6.KOrEPEHTHbiE m:PEXOl4HbIE riPOIJ,ECCbI
6.1.On;eRHTb g,TIHH:y J'f'-!eHKH, conepscunea ras pe30HaHCHbIX aTOMOB, IIpHKOTOpOii: J$$eKTbI pacnpocrpaneaaa OIITH'leCKOro HMlIynbca necynte
CTBeHHbI.
6.2. Fas nayxypoaneasrx nOMOB HaxOiJ,HTCH B none nnOCKOH CBeTa BOB: BOlImI C Haup1VKeHHOCTblO 3neKTpHlJ:eCKOrO nona E . Onrraa, 'ITO penax cauaa ITOJIHpH311UKH H pa3HOCTH HaCeneHHOCTeiioTcyrCtByeT, a nee aTOMbI aa
XO~TCH II pesoaaace C BHeIIIHHM noness, onpenenars 3aKOH lf3MeHeHHH BO spe MeIDl lJ}IH aacenesaocra aepxnero saepreranecxoro ypOBHJI.
6.3. BbItrncnHTb 'laCTOTy Paoli )];Ill!: |
nepexona B nsyxypcanesoa arosie C |
|||||
AHTIOJThHbIM MOMemOM |
i |
at = 1 p;e6aii,B YC::IOBlfHX npelU>I.o;yru:eii 3llna'lH rrplf |
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E ::: 10 B!CM. |
/~ |
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6.4. |
Orrpe.o;enHTb |
HaIIpIDKeHHOCTh |
3neKTpWIecKoro nonH JIa3epHoro |
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H3JIy'!eHHH Ha 'laCTOTe |
W /2 7Fc. |
= 12988 eM -1, pe30HaHCHOH Alm rrepexolJ,a |
||||
25 1/2. -'?'P1/z |
B rrapax |
K |
,npH KOTOpOH '1aCTOTa Paoli paBHa orrTH'le~oiiqa. |
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CTOTe "-' |
• B03MO)I(H0 nu npoBep;eHHe TaKoro JKCrreplfMeHTa? |
,
6.5.Ou,eHHTh IDITeHCHBHOCTh ODTH'leCKOrO H3JIyqeHHJI, npH Konipol'
ace nBYXYPoBHeBbie aTOMbl ra311, HMeIOUlero Te~PaTYPY T:: 300 K H
AHDonllblii: MaMeHT d:« 1 ne6aii, BeA)'T ce6J1 KaK OAHH aTOM. IIpIlIlJIU, lITO Macca aTOMa paaaa Macce npOTOHa.
6.6.qepe3 IUUIHH}Jpll'leCKHii nyqOK nasepnoro H3JIyqeHHJI HHteHCHB
HOCThIO 1 fBr/CM 2 |
nponeraer }J;ByxypoBHeBbIH aTOM CO CKOPOCThIO V ,AM |
|
nonbHblM toIOMeHTOM |
cL:: 0,5 ne6aii H pe30HaHCHblM nepexonose ]:U1J1 nora |
|
H3JIY'leHHJI. Onpenemrn, BeJlllllHH}' V |
,npH KOTOpOii: 3TOT aTOM OKa:llreTCJI B |
Bo36yJKneHHOM COCTOJIHHH nocne nponera naaepaoro nyqKa lJ,HaMe'lpoM 1 MM.
6.7. OnpenenHTlt BpeMeHHOe nOBeneHHe nOMpH311IJ,IIH nBYXYPOBHeBOii:
CHCTeMbl, HCDblThlBaIODleii: OIITll'leCKHe HYTaIUIH B nasepaosr none HllIIpJDKeH
HOCThIO E = 100 D/CM. IInOTHOCTh pe30H3HCHblX aTOMOB n. = 10 'lo |
CM -3 |
, |
||||||
AHD~~~ MOMeHT |
cL:: 1 ne6aii:, BpeMJI 06paTHMoii ~naKClIIlRH |
T:- |
= |
|||||
: 10 |
C, BpeMeHll aeo6pamMOii penaKCllUHH T, |
=T~=DO |
• Heonaoponao |
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yl.llHpeHHIJI nHHHJI HMeeT rayccosy etx>PMy. OueHHTh 'laCTO~HyTllIlHii. |
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||||||
|
6.8. OueHHTh |
'laCTOTy ODTll'leCKHX HynIJ,Hii B ycnCJBHJIX npe.z:u,mymeii |
||||||
38,Qll'IH, ecna apesseaa Heo6paTHMoii peJJaKClUUIH |
T1 H TZ |
pasasr H T1 :: |
||||||
2..0= |
10-.c. |
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=t: |
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6.9. D JJa3epllblii: IIY'!0K lJ,HaMe'lpOM 1 M |
nepneJmHK}'JIJIPHo BJIeneT co |
||||||
CKOpOC1lo1O |
V |
= 10 &I CM/c xancyna C pe30HaHCHblMII aTOMaMH.IInoT |
||||||
HOCTh aTOMaB |
n. .. 10 5 CM- 3, AHDonbHblii MOMeHTd= 0,1 ne6aii.Onpene |
|||||||
nars HHTeHCHBHOCTlt |
H3JIY'1eHHJI, npH xoropoa BpeMJI nponera paDHO nepaony |
onrasecxax HYTllD,Hii:.
6.10. IIpH KaKOM ycnoBHH H3 CKOpoCTh HapaCTaHHJI nepenaero cl>poHn onnnecxoro HMllynbca onrasecxae HYTaIUIH nayxypoaaeaoa pe30HaHCHOii: CII
CTeMbl Ha6mo,u,aThCII He 6ynyT?
6.11. 8blBecm cl>oPMY caraana 3llTyxaHHJI CBo6onHoH HHnyKIJ,IIH H one
HHTb IDlTeHCHBHOCTh nasepaoro H3JIY'leHHJI, npa KOTOpOii: neKpeMeHT HX 3llTY |
|||||||
xaHHJI paaea 2 T2,' |
~ .. 1 ne6aH, |
f - t. |
=10 |
c , 2. |
=.. |
C • |
|
' |
-J |
W |
T .iT' |
-6 |
T* |
~D-1C |
|
6.12. HaiiTH 'laCTOTY H |
neKpeMeHT saryxaaaa caraana CBo6onHoii: HH |
nyKlJ,HH B ycnOBHJIX npenwnymeii: 3a/lll'IH, ecna IDlTeHCHBHOCTh xorepearaoro
H3JIY'leHHJI 6blna paaaa 10 MDTICM 2. •
6.13. Haiim ycnoaae, npa KOTOpoM '1aCTOTa onraaeocax HYTalJ,HH pasaa
'laCTOTe OCIJ,HnnJDJ,Hii: CHrHana 3llTyxaHHJI CB06onHoii: IDInyKIJ,IIH npa CKaqKOo6 pa3HOM BKnlO'IeHHH urrapxoacxoro nons. Ou,eHHTb HHTeHCHBHOCTh_nll~PHQ~..g
nOM, asrasaauiero 000 JlBneHHJI !/cnOBHJlX, 'ITO oL = 1 ne6aii, 1; '" Tl"10- C. |
||
If |
-,0 |
(*) |
T~ |
"10 cJ1t.Jst |
10T2. |
6.14. IIonyqHTb BbIpa)l(eHHe ]:U1J1 nomq'H3lllJ,HH JlBYXYPoBHeB()H cpeAbI If pa3HOCTH HaceneHHoCTeii 3HepreTll'leCKHX ypoBHeii B npH6nft)I(eHHH aAMa6a TH'leCKOrO cnenOBaHHJI. OueHHTb nOnpaRKY K mrneHHoMy nOKa3arenlO npeno MJIeHHJI, OTBe'lalOmylO 3ll jfilneHHe caMocl>OKyCllpOBKH, eCTIH ,lJ;HrrOnbBbm MOMeHT
12 |
13 |
..J |
0,1 Ae6aH, xoauearpanaa pe30HaHCRbIX aTOMOB n: = |
10 |
-16 -1 |
|
1.4.= |
CM .penasc |
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|
f |
-0 |
~w-10/ T 1 • |
|
canaoaasre apesseaa 11 ,. Tz. |
= 10 CH 'IllCTOTHlUI paccrpoiixa |
6.15.B yCJIOBHJl:X npeAbmymeH 3a~'IH onpenemrrs Mal<:CHMllJIbHYIO HH BepCHlOnOJIY'laeMYIO B ycnOBHJl:X aAH300lWleCKoro cnenoaaaaa.
6.16.B ycnOBHJl:X aAHaOOlWleCKOro CJIeAOBamUI nOJIY'lHTb BblpIDKeHHe 1J)Ill: CKOpOCTH HMnyJIbca, pacnpocrparenomeroca B AByxypoBHeBoH rrornoma IOmeH cpene. Onacars Ka'leCTBeHHO 3BOJIlOUHlO HMIlynbca, HCXOAll: H3 HaHAeH HOro BblpalKeHHll:.
7. Cl»OTOHHOE 3XO
7.1. OnpeAeJIHTb <poPMY CHrHaJIa <poToHHoro axa B npH6JIHJKeHHH CHJIb RbIX 3aAaHRbIX nOJIeH E( H Ez. B036y)1('J:lalOlIlHX HMfiynbCOB, eCJIH KOHTYP He
OAHOpOAHO ylIIHpeHHoH JIHHHH OnHCbIBaeTCll: (a) rayccoacxoii <pyHKIlHeH, (6) JIopeHUeBcKoH <pYHKIlHeH.
7.2. ITYCTb IJ)IHTeJIbHOCTb nepaoro J'i/ Z -HMnyJIbca pasaa 10 HC. One
HHTbBeJIHlIHHYH36bIT0'lHOH 3aAeplKKH CHrHaJIa<poToHHoro axa.
7.3. Bo CKOJIbKO paa YMeHbIIIaeTCll: MaKCHMaJIbHall: aMfiJIHTY~ CHrHa
r.":"/ |
;:0 |
-HMlIYJIbca |
na <PoToHHoro axa, ecna HHTepBaJI BpeMeHH MelKAY :11/2 |
H:/I |
|
YBeJIH'lHTbB 5 pas? |
|
|
7.4.OnpeAeJIHTb MOMeHT B03HllKHOBeHHll: CHrHaJIa CTHMYJIHpoBaHHOrO <PoToHHOro axa,
7.5.Ha CKOJIbKO ocnafiaer CHrHaJI CTHMYJIHpOBaHHoro <PoToHHoro axa, ecna BpeMeHHble HHTepBaJIbl MelKAY B036YJKA3I01UHMH HMfiYJIbcaMH YBeJIH 'lHTb B 2 pasa?
7.6.KaKOBbI nJIOmaAH B036yJK~lOmHX HMnyJIbCOB, He06xoAHMbIe 1J)Ill:
reaepauaa MaKCHMllJIbHOrO caraana <poToHHoro 3X8 H CTHMYJIHpOBaHHoro <po
-TOHHoro axa? .uaTb Ka'leCTBeHHyIO aarepnperaiaeo nOJIyqeRHoMY pesynsrary,
7.7.ITOJIYllHTb yCJIOBHe npocTpaHCTBeHHOrO CHHXpOHH3Ma B HBJIeHHH <poToHHoro axa, OueHHTb MaKCHMaJIbRbIH yrOJI MeJKAY aanpaaneaassor pac npocrpaaeaas B036yJK,II,alOmHX HMfiYJIbCOB H 3XO-HMfiYJIbca.
7.8.PelIIHTb npeAbIAY1UYIO sanasy )J,IDI crrynaa CTHMYJIHpOBaHHOrO <po TOHHOro axa.
7.9.HaHTH 3liKOH saryxaaaa BO BpeMeHH 3XO-CHrHaJIa, ecmr aa ABYX ypoaaeayio CHCTeMY AeHCTByeT pan HMfiYJIbCOB - nOCJIeAOBaTeJIbHOCTh Kappa
ITapceJIJIa.
7.10.HaHTH 3X~TKJIHK ABYXYPoBHeBoH CHCTeMbI aa part HMnynbcoB nocneAOBaTeJIbHOCTH Ba<pa-BoHra.
7.11.IIoKa3aTb, 'ITO ll:BJIeHHe <pOTOHHoro axa MOlKHO HCnOJIb30BaTb AJIll: 06pameHHll: BOJIHOBOrO <pPOHTa onnoro H3 B036YlKAalOmHX HMnyJIbCOB.
7.12.ITYCTh 3JIeKTp0MarHHTHbIe nona B036YlK.ualOlUHX HMfiYJIbCOB CABHHyTbI no <pa3e Ha .fIj2 . OnpeAeJIHTb <Pa3Y carnana sxa OTHOCHTeJIbHO
nepsoro H BTOpOro HMIlYJIbCOB.
8.CBEPXH311Y'4EHHE AHKH
8.1.Ilycrs JIHHeHHbIH passsep CHCTeMbl ABYXYPoBHeBbIX aTOMOB MeHb
we WIHHbl BOJIHbl pe30HaHcHOro H3JIY'leHHll:. HaHIH HHTeHCHBHOCTh CnOHTaH aoro H3JIY'1eHHll: H3 3TOH CHCTeMbI MaJIbIX paassepos B MOMeHT, COOTBeTCTBytO mHil: Ha'lany pacna.u.a COCTOll:HHll: )lHKH. PaCCMoTpeTb ABa npenensasrx cnysas:
(1) Bee aTOMbI HHBepTHpOBaHbIH (2) HaeeneHHOCTH sepxaero H HHlKHero ypoa-
HeR paaasr npyr npyry.
8:2. O:u;eHHTb BpeMll: 3llAeplKKH HMfiynbca cBepXH311yqeHHll:, B03HHKaro |
|
utero H3 AByxypoBHeBoH CHCTeMbI MaJIbIX pa3MepoB,COAepJKameH 10 |
10 |
a1O |
|
MOB. )lHnOJIbHbm MaTpH'lHbm anessear oL = 1 Ae6aH, 'IllCTOTa nepexoza co- |
OTBeTCTByeT BH,lUIMOMY AHana30HY.
8.3. B ycnOBHJl:X npeAbmymeH 3llAll'IH OueHHTb MaKCHMaJIbHYIO HHTeH-
CHBHOCTh H AJIHTeJIbHOCTb HMnyJIbca cBepXH3JIY'leHHll:.
8.4• .uoKa311Th, 'ITO AHnOJIb-AHnOJIbHoe B3llHMOAeRCTBHe npenarcrayer ua6JIIOAeHHIO CBepXH3llyqeHHll: B CHCTeMe C pa3MepaMH, 3Ha'lHteJIbHO MeHblIIH MH IJ)IHHbI BOJIHbl H311YlleHHll:. OueRHTb KpHTH'leCKHil: passsep CHCTeMbI (B yc
JIOBHJl:X npeAblAymeH 3llAa'IH), xorna CBepXH3JIY'1eRHe CTaHOBHTCll: Ha6JIIO):Ul
eMbIM.
8.5.IIoKa33Th, 'ITO B COCTOJl:HllH )lHKH cpenaee 3Ha'leRHe ,AHnOJIbHOrO
MatpH'lHoro 3lleMeHTa paBHO HYJIIO.
8.6. Y6eAHTbCll:, 'lTO B COCTOJl:HHH Bnoxa cpensee saaseaae AHnOJIbHOrO MaTpH'lHOrO 3lleMeHTa OTJIH'lHO OT nyna. CocTOJlIDle Bnoxa asnserca cynep n03HIlHeR COCTOJl:HHH )lHKH. 06MICHHTh KaJKYllleecll: nporasopexae MelKAY
pe3YJIbTaTaMH 3TOH H npeAbmymeH 3liAa'IH·
8.7. Pacosorpers npOTJl:JI(eHHYIO CHCTeMY AByxypoBHeBbIX aTOMOB, pe30HaHCHbIX )J,IDI H3JIY'1eHHll: C AJIHHOH BOJIHbI ). = 10,6 jlL ,H HMelOmyro BHA AJIHHHoro UHJ1HH/lPa C nnouranuo nonepe'lHOrO ce'leRHll: S '" 1 CM 2. • ITo
naraa 'lHcno <1>peHeJIll: nopamca eAHHHUbI, oueRHTb, BO CKOJIbKO pas YBeJIH'lH saerca BpeMll: 3aAeplKKH H AJIHTeJIbHOCTh HMllYJIbca cBepXH3nyt1eHHll: no <;paB'
HeHHIO co cnyqaeM CHCTeMbI MaJIbIX paassepos -.
8.8. B ycnOBHJl:X npeAbmymeii: 3ll.ua'lH oueRHTb MaKCHMaJIbHy"IO HHTeHCHB
OOCTb cBepx H3JIYlIeHlUl H3 CHCTeMbI, coAe~~eH 10 ZO pesosancnsrx aTOMOB. |
|
BpeMll: penaxcanaa uaceJIeHHOCTH Tj =10 |
c . |
8.9. PelIIHTh npeAbIAY!UYIO sanasy, |
nortaraa, 'ITO Bee aTOMbI reneps sa- |
KJIlO'IeHbI B MaJIbm 06'beM (cocpeAOTO'leHHlUl CHCTeMa) . CpaBHHTb 06a pesyns
rara.
8.10. ITo COOTHOWeRHIO <!>pHA6epra-XapTMaHa oneaars KpHTH'leCKyro
IJ)IHHY 06p33na H3rOTOBneHHoro H3 pyfiaaa, B KOTOpOM B03MOlKHO ua6JIIOAe |
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+ 3 |
oCOCTaBJIll:eT 10 |
11 - 3 |
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|
HHe cBepXH3nyqeHHll:. Koauearpauaa HOHOB C 1:.. |
CM |
, |
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IlllHHa BOJIHbI pe30HaHcHoro H3nyt1eHHll: .>..,. 7000 |
A, HeOAHOpOLUiOe BpeMJi |
||||
lII' |
-10 |
'7' |
,-:r |
15 |
|
peJIaKcaUHH Tz : 10 |
C,BpeMJI cnOHTaHHoro nepexona 'j: / 0 |
c. |
14
----~- - |
~-- - - |
."--_.'~ |
8.11. B ycnOBHIIX npe,ru,l,lJ;YIIleii 3ll,1ll'lH On;eHHTb KpHTHlJeCKYJO ,lJ;lIHHy
py6HHoBoro 06pa3n;a H MaKCHMlUIbHO B03MO)lQfYJO CKOpOCTh pacnana csepx H3JI}"IareJIbHOrO OOCToJIHHJI,Hcnonb3YJI KpHTepHii Apesa-Koypreaca.
9.KOrEPEHTHblE npOlJ,ECCbl PACnpOCTPAHEHHR KOPOTKOro CBETOBoro HMnyflbCA
9.1.On;eHHTh BenH1JHHY :meKTpHlJeCKOrO nons npsssoyronsaoro (cjloPMa Jlopeana H l}>0PMa Taycca) 21; -BMfiynbca, ecna AHnOnbHbIH MOMeHT nsyxypce aesoro arossa pasea O)J;HOMy )J;e6alO.
9.2.Bo CKonbKO pas H3!'>'1eHHTCJI ,lJ;lIHTenbHOCTh CTaII;HOHapHoro ynsrpa
KOpOTKOro HMnynbca, pacnpocrpaamomerocs B pe30HaHCHOii nayxypoBHeBoii cpene, ecmr ero aMnnHTyAY yaeJlH1lHTh B )J;Ba pasa?
9.3. Ilonysan, BbIpIDKeHHe ,lJ;lIJi CKOpOCTH pacnpocrpaaeaaa cranaoaap
aoro ynsrpaxoporxoro HMIIyJIbca B pe30HaHCHOii naYXYPoBHeBoii cpefe H one
HHTh nnOTHOCTh HJnY1Jareneii, npa xoropos sra |
CKOpOCTb paaaa 10 |
CM/C. |
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)1HnonbHbIH MOMeHT |
ol.:: |
1 )J;ew, pesoaaacsaa 1JaCTOTa |
l.v :: |
lO'~-1,}JJIH_ |
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TeITbHOCTh HMIIynbca T:p |
:: |
1 nc. |
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9.4. On;eHHTh |
B |
ycnOBHIIX npe,ru.I)J;YI1leii |
3a,B,a1JH |
MHHy |
pe30HaHCHOii |
nornomaiouiea cpema, npOXO)J;JI KOTOPYJO 21i -BMIIynbc acnsrraer Ja)J;ep)l(Ky pasayio ero ,lJ;lIHTenbHOCTH.
9.S. BbIBeCTH reopessy nnomaAeii MaK-Konna H Xaaa, H Ha ee OCHOBe Ou;eHHTb crenem. C)I(3THJ1 31f'-HMIIymca, npa ero pacnpocrpaaenaa B naCCHBHOM -nornorarene (fH66c H Cnawep, 1971). Crenens C)l(amJl onpe)J;eJIJleTCJI KaK OTHOWeHHe ,lJ;lIHTenbHOCTH 2.1i-BMfiynbca K ,IUDlTenbHOCTH 3$ -HMDynbca. C1JH
Tan, 'ITO 3HeprHJI HMfiYJIbca DpaKTHlJeCKH He H3MeHJlnaCb.
9.6. Onpenenars cxopoers pacnpocrpaaeaaa CTaQlfoHapRoro ynsrpa
KOpOTKOro HMfiymca |
V |
B HeO)J;Hopo)J;Ho ywHpeHHOii cpene, ecna «PoPMa |
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nHHHH OnHCbIBaeTCJI l}>ym<nnea I'aycea. Ilocrpoars rpa4>HK JaBHCHMOCTH |
V ~1 |
||||||||||
OT OTHOWeHHJI BpeMeHH 06paTHMoii penaxcanaa |
T; |
K WIHTenbHOCTH HM |
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Dynbca 'Lp . |
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e, |
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9.7. 1-13 reopesrer nnoIIl;a)J;eii cnpeaenars }JJIHuy pe30HaHCHOi cpensr |
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Ha xoropoa ynbTPaKOp~1IiiHMII}'nbc |
~O~,ru.IO3.1inpeBpamrCJI B 2 ii • |
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HMIIynbc. Pe30HaHCHaJI 1JaCTOTa W • |
10 C , AHnonbHbIH Ma~ :meMeHT |
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J |
1 |
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- |
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20 |
CM |
~3 |
, |
nepexona a-:: |
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new, nnoraocrs nayxypOBHeBbIX aroMaB n ..10 |
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Jf. |
-10 |
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BpeMJI T2. =10 c. |
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9.8. Kuc H3MeHHTCJI |
pe3YJIbTaT npe)J;bl,lJ;yIIl;eii 3a,o;aU, eCllH BeO)J;HOpO)J; |
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IDe ywHpeHHe oTcyTCTByer nOJDIoCTbIO'? |
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16 |
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t
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J
9.9. |
<meHHTb CKOpOCTh 21f ~ynbca WIHTeITblDCTbJO 1:P = 10 HC B |
O)J;H0POlIHO |
~peHHoa cpene, eClIH KO~JUU{eHT pe30HllHCHOro nornoareaaa |
COCTaBnJleT 10 3CM -1 _ |
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9.10. TIPH pacnpocrpaaeaaa 21; ~JIbca B cpene, nOMemeHHYJO BO |
|
aaeuraee MarHHTHOe none ua6mo,B,aeTCJI mraHTCKOe ,aPaAeeBCKOe spameaae |
sexropa IIOnJIPH311UHH. Ou;eHHTb nocToHHHYJO BePAe }J,1IJI pe30HaHCHorO nepexo |
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,B,a |
z |
z |
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Q |
*" |
51' - |
P1/z B napax KaJDIJI, HMeIOIUJP(, reMIIeparypy 300 |
C (T2. =3,5 x |
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x |
-10 / :1,. |
013 |
~3 |
_ |
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10 C). |
Koanearpanaa napoB n: == 1 |
C , )J;HDonbHbIH MarpH'lHbIH ane- |
MeHT nepexona ol :: 7,2· lO'18'CrC3 en, Jlwr naaaoro nepexona c..>/Z1i c ~
= 12988,7 CM- t (KoypreHc,1968).
9.1 L 2 11-BMfiymca ,u;rnrreJIbHOCThlllrp = 10 HCnHHeaHo nOnJIpH30BaH
aoro anexrpoeaarmrraoro H3nY1JellHJl pacnpocrpanaerca B cpeae, Haxo)J;JIWeii
CJI B nocroJIHHOM aKCHanbHOM MllI"HHTHOM none HaIlpJl)l(eHHOCTbJO H:: 1 spcren,
Onpenemrrs yron nosopora sexropa nonJIPHJaUHH, ecna CKOpOcn. pacnpocrpa- |
||
HeHHJI V |
HMIIynbca COCTaBHna 0,1 C (c:: 3 x 10 |
10 |
CMjC - CKOpOCTb caera B |
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BaKYYMe), aeonsoponnoro yWHpeHHJI HeT, )J;nHHa cpel1bl e::10 CM. |
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9.12. |
Ha CKOnbKO H3MeHHTCJI pesynsrar npe,ru.I)J;yIII;eii Ja,B,a1JH, eClIH |
|
IIIHpHHa Heo)J;Hopo)J;HO yIIIHpeHHoii nHHHH TaKOBa, 'ITO |
T:- = 10-2 Z;p ? |
9.13. 21i -HMIIymc ,u;rnrremHocThJO·lO HC nHHeiiHO nOJIJIpH30BaHHoro
H3nY1JeHHJI npoii)J;JI sepes JI1JeiiKy C pe30HaHCHbIMH aroMaMH acnsrrsraaer sa nepsocy, paBuyIO ero }J,1IHTenbHOCTH. ll,mma JI1JeiiKH
nOBepHeTCJI sexrop nOnJIpR311D;HH H3ny'1eHHJI aroro HMnynbca, ecnn ,B,aHHYJO JI'IeiiKy nOMeCTHTb DO BHeIIIHee MarHHTHOe none HanpJl)l(eHHOCTbIO 1-1=0,1 spc reTiJ (Heo)J;HOpo,r:un,IM ywHpeHHeM npeHe6pe'lb) •
9.14. llByxypoBHeBaJI cpena, HMeIOIIl;aJIKoJ4ll}>HII;HeHT pe30HaHCHOro no |
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_, |
3-1 |
rnOmeHHJI'1 go. ~ 10 |
CM H KoJ4lcPHD;HeHT Hepe30HaHCHOrO nOrnOmeHHJI r = |
|
'" 0,1 CM |
nOnHOCThJO HHBepmpoBaHa. Onpenemrrs npol}>Hnb C1llD;HOHapHOrO |
HMnynbca, pacnpocrpaaaenneroca B :noM: cpene co CKOpoCTbIO CReTa. C1JHTaTb, 'ITO Heo)J;HOpO)J;Hoe ymapeaae OTcyrCTByeT. Ou;eHHTb )J;JDITenbHOCTh H aMIInHTyAY sroro HMnyJIbca.
9.lS. B ycnOBIUIX crpororo pesoaaaca B OTCyTCTBHH HOO)J;HOpO)J;HOro yuIHpeHHJI 3BOnJOII;HJI ynsrpaxoponeoro OnTH1JeCKOrO HMnYmca B ,lJ,BYXYPOB HeBoii cpene OIIHChIBaeTCJI amyc-ypaRHeHHeM r Op)J;OHa :
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6J:'t =:t s l n: d, |
( SG) |
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r)J;e |
d·EItt:: iJ67a"[. |
.!lOKa)I(HTe sro, |
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9.16. Ecna |
~1 H 6'Z. |
JlBnJIIOTCJI ,lJ,BYMJI pa3JIH1JHbIMH 'laCTHbIMH pe- |
WeHHJlMH cHuyc-ypaBHeHHJI Fopnoaa, ro Me~y HHMH cyntecrayer coornome
HHe - npeo6pa3OBaHHe 6eKJIYHJlill:
af (6, - 6'.1.): 2 a,. sin[( 6,1- 6l)/2] , |
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a~ (6, + 62.) =2 0;1 5in[(<5 - 62. )/ 2 ] , |
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1 |
17 |
2 -¥.9!
r}J.e |
a... - npOH3BOJlhHbm napaMeTp. ,l],OKa311Tb :lTO yTBepX(}J.eHHe. |
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9.17.TIycTb 6 0 |
,6.,62 , |
63 |
-lIllCTHblepeWeHllJiypaBHeHHH |
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( SG) , npH'ieM |
(f 0 |
R (f1 |
,62. |
H |
63 |
CDH311Hbl npe06pa30BaHHeM |
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EeKJIYH}J.ll (TIE) Cnapasserpoee |
0,1 ' |
(fo |
H |
($2. ,61 H (5'3 CBH3aHbI |
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TIE |
C napaseerposr |
a, ~ |
. Hcxona H3 aaaoro BblpIDKeHHH IJlIH COOTBeTCTBylO |
uiax TIE, HCKnJOlJHB npoasaonasre, BbmeCTH "<p0PMYJIY raarencoa":
ig~ ((5"J-6'Q)=(Q,1+(L2.)(Q,1-a,2.H:''J~(61-62)·
HHor}J.ll rOBopHT, 'ITO <popMylla TaHreHCOB asrpaacaer "HellHHeHHbIH npHHUHII
cynepn03H~". |
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9.18. 3aMeTHM, 'ITO 6 0 |
:: |
0 HBJllieTCH qaCTHbIM peureaaesr ypasae- |
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HHH (S G ). Hcnonssya npeotipasosaaae Beicnysna RaHTH nropoe lIllCTHOe |
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pemeaae 6 1 |
' CDH311HHOe C ($0 |
,eClIH napaseerp |
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a... - }J.eHCTBHTellbHoe |
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tIHCllO. CpaBHHB crauaoaapaoe peurenae ypaBHeHHH |
caMOHHlJ.YUHPOBaHHOH |
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pp03pa'IHOCTH C nOJIY'leHHbIM 3}J.eCb: |
f |
=a 6 1 / fJ r: J |
onpenernrrs <pH3H'ie- |
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CKHH CMblcn napasserpa CL. |
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9.19. cIlopMYJIY TaHreHCOB MO)KHO HCnOJIb30BaTb |
IJlIH HaxOX(}J.eHHH ana |
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JIHTH'ieCI<;oro Bblpa)KeHHH 4 1i |
-HMllyJIbCa, He pemaa |
HBHO HHKaKHX llK<PlPepeH |
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IJ;HaJlhHbIX ypaBHeHHii. TIYCTh |
(5"0" |
0, |
cr1 H 6"2. |
- |
21i1l:MIIynbCbI.Torna |
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0'3 =£/a "[, c t 9 [CLt |
+ a. 2. |
sh(vt -ifZ )/2. ] |
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C h'((f, +If'z.) {2 |
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at -a2. • |
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rne |
v: :: a..: "[ - ~/ Q.,i. |
> i |
= 1,2· : |
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a) |
}J.OKa311Tb, 'ITO E 3 |
= fJ |
~3 / ar |
}J.eHCTBHTeJIbHO 4.1f-HMllYJIbC, xorna |
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a" f |
> O,a (1.,,t <. 0; |
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E3 |
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6) |
HaHTH HBHoe Bblpa)KeHHe IJlIH aMIIlIHTY}J.bI :meKTpH'ieCKOrO nOlIH |
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H nOKa311Th, 'ITO 41/-HMllYJIbC pa36HBaeTCH Ha }J.Ba 2111l:Mllynbca; |
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B) |
onpenemm, <pa30Bbm C}J.BHr, B03HHKalOll\HH npa CTOlIKHOBeHHH nsyx |
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21i"-HMnyllbcoB, eClIH HX }J.lIHTeJIbHOCTH pa3JIH'IllIOTCH B 10 paa; |
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r) npa KaKOM orj;lllHHqeHHH aa a6COJIIOTHble 3Ha'leHHH napasserpos |
a., 1 |
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H |
Q, 2. |
B03HHKalOmmi npa CIolIKHoBeHHH nsyx 211-HMllYJIbCOB 47/ -HMllynbC |
6y}J.eT HMeIb O}J.HH MaKCHMyM, rrpexne '1eM OH CHOBa pacnanerca aa }J.Ba COJIH-
TOHa? |
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9.20. EClIH B Bblpa)KeHHH IJlIH (5:1 |
H3 rrpensmyuiea 3a}J.ll'lH nOJIO)KHTb |
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napasserp a.,2.:> 0 (KaKH |
Q,.1 > 0),ToorH6alOll\aHHMIIYJIbcat3=1l~3/"r |
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6y}J.eT HMeTb nOllO)KHTeJIbHble |
H orpanarensssre 3Ha'leHHH. HaHTH nOJIHYIO |
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"nnomans HMnyJlhca". ,Il,rnl 3HaqeHHH napaseerpoa |
Q, 1 '" 3, |
Q.2 =1 nocrpoars |
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rpa<pHKH <PYHK~ f 3 (! ,1:) B 3llBHCHMOCTH OT |
r |
npa |
! |
= 0 H |
~:: 5.. |
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9.21. RaHTH orH6a1Oll\YIO |
E3 ,eCJIH Q, 1 -= |
a.~ .. ec ... Lj3 |
. Onpe |
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}J.elIHTb nnontarrs nora HMlIynbca. |
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9.22. 1f3 ypaBHeHHH (5 o )BbmeCTH CKeHmmrOBble CBOHCTBa}J.JIH :fi |
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HMllyJIbca, pacnpocrpanmouteroca B yCHJIHTeJIe 003 noreps. |
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9.23. YpaBHeHHe ( S(} |
) MO)KHO paccssarpaaars KaK ypaaaeaae 3iine |
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pa-Jlarparoea }J.lIH onaoseepaoa TeopHH nons CImOIHOCTbIO narpaaxaaaa: |
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;;e :: i |
6! 6'(; -+ |
( C Q S 6' - 1) . |
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EClIHonpenenars KaHOHHtIeCKHH HMllYJIbC |
:11= iJ ~ / |
a (51 |
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' TO ycnoaae, |
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onpenenmoutee rmomana CTaIJ;HOHapHbIX |
HMllYJIbCOB, npasser |
BJm ycnOBHH |
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KBaHTOBaHHH Bopa. .IJ.oKa311Tb no yTBepX(}J.eHHe. |
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9.24. B pasocax i m -CXeMbI noJIYtIHTb reopessy nJIOll\a]J.H, 0606ll\eHHYIO
aa cJIY'IllH Bblp0)K}J.eHHoH nayxyposaeeoa cpensi. Onpe}J.eJIHTh, B xaxaxcrrysaax caMoHH}J.yUHpoBaHHaH np03pa'IHOCTb B03MO)KHa.
9.25. Cpe}J.H CTaIJ;HOHapHbIX peweHHii ypaBHeHHii caMoHH}J.yIJ;HpOBaHHoH np03pa'IHOCTH 2 J( -HMnyJIbC - no O}J.HO H3 B03MO)KHbIX peureaaii. ECJIH peao HaHCHaH cpena 6bIJIa rrpensaparensao B036yX(}J.eHa (HO He HHBepTHpOBaHa) H HeO}J.HOpO}J.Hoe YIIlHpeHHe npeHe6peJKHMO MaJIO no cpaBHeHHIO C O}J.HOpO}J.HbIM, TO B yCJIOBHHX crpororo pesoaaaca HMeeT MeCTO HeJIHHeHHaK nepHO}J.H'leCKaK BOJIHa. HaRTH Bblpa)KeHHe }J.lIH aMlllIHTy}J.bI 3JIeKTpHtIeCKOrO nOJIK H 3aBHCH MOCTb nepaona nyJlhcaIJ.Hi{ OT creneaa npensaparemaoro B036yX(}J.eHHH B nOM cnysae.
10. OnTM~ECKAR
KOrEPEHTHOCTb
10.1. .IJ.oKa311Tb, 'ITO npa MniOBeHHOM H3MepeHHH ycpenaeaaoa no ne
pHO}J.y HHTeHCHBHOCTH BepoHTHOCTb norryxeaaa ee 3HaqeHHH B aarepaane OT I (t)}J.o I (t) -+ paaaa f [r (i:)] cJ., I (t.) ,me
(1/I) exp(-2/IJ
HI - HHTeHCHBHOCTb, ycpenaeanaa no 6oJIbwoMY HHTepBaJIY BpeMeHH.
10.2.qeMy paBHO Cpe}J.HeKBaAPaTHtIHOe OTKJIOHeHHe ycpenaeauoir no nepHOAY HHTeHCHBHOCTH XaOTHtIeCKOrO CBeTOBoro rryxxa?
10.3.Onpe}J.eJIHTb KOppeJIHIJ,HOHHYIO <PYHKIJ,HIO nepsoro nopanxa }J.lIH xaoTHtIeCKOrO CBeTOBoro HCTOtIHHKa C JIOpeHueBbIM '1aCTOTHbIM pacnpene JIeHHeM H RaHTH BpeMH KorepeHTHOCTH.
lOA. Onpe}J.eJIHTb BpeMH KorepeHTHoCTH }J.JIH XaOTHtIeCKOrO CBeTa C
rayccoasrsr '1aCTOTHbIM pacrrpeneneaaess.
19