Обработка данных / ElemTreat
.pdf($ &'#$( (5.66) !)+!9 &&- , #(2 2(2 *1+,#(#- !*3 &!0 Tk ! Jk ' 6 9(# 72' !3 (+,&- / %& '#!. +" ('4 #( / %& - '# 0 !'2 3-. ( (3 # $ ' ! J0 & ). 6!3 '&(4(+( $-4!'+!#, ' 6-
& 2$(6 (#!4&- #2+ & &!" Sb ! Sg 6+" 2 788!5! $ +!& 0& 0 *($!- '!3 '#! 8 31+(3 (5.16) ! (5.18) ' #$ #'#$ && . ('4 #- 6(&-
&-3 #()+. 1 6(:# #(2! *1+,#(#-:
Sb = 6,8 10−5 (2/ 32/c2) , Sg = 1,71 10−4 (2/ 32) . |
(5.67) |
, '+ 61 # *(6(#, 6 $ !# +,&1: $ "#& '#, α. -) 3 $ +!- 4!&1 α ($& 0 0,95. (2 2(2 )-+ $ 6 & # +,2 4 #- ( - !*3 -&!0 *&(4 &!0 k ! Jk (N = 4), # 2 788!5! #,:6 ( '+ 61 # ) (#, 6+" 4!'+( '# & 0 '$ ) 6- (N – 2) = 2. #()+!5 !+ 9 &!" 3
&(. 6!3 / *&(4 &! t0.95 , 2 = 4,303. 3& 9!3 &(06 &&-0 2 788!5!- #,:6 ( &( ' 6& 2$(6 (#!4&- #2+ & &!" (5.67) ! +14!3 ' -
#$ #'#$ && ()' +:#&- / %& '#! &(06 &&-. ( (3 # $ ' ! J0 81&25!! (5.65):
' = t0.95 , 2 Sb = 2,9 10−4 (2/ 32/c2);
J0 = t0.95 , 2 Sg = 7,4 10−4 (2/ 32).
-4!'+ &&- ()' +:#&- / %& '#! ' ! J0 ($&- +1%! !-
&(3 6 $ !# +,&-. ! $(+ $ 6+" !'2 3-. '# "&&-. ' ! J0 +(#- 8 3-, !' +,*1 3 0 $ 6(&& 0 +() (# & 0 () # .
+14 &&- *1+,#(#- 3 9& *( !'(#, $ ! $(+,& 0 8 3 :
0,0151 (2/ 32/c2) ≤ ' ≤ 0,0157 (2/ 32/c2) , 0,0252 (2/ 32) ≤ J0 ≤ 0,0267 (2/ 32)
! 6 $ !# +,& 0 $ "#& '#! α = 0,95.
9& 6 +&!# +,& $-4!'+!#, #& '!# +,&- / %& '#! $ +!-
4!& ' ! J0 , (*6 +!$ ()' +:#&- |
/ %& '#! |
' ! J0 &( ' #$ #'#- |
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$1:;! 4!'+ $- *&(4 &!" (5.66): |
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εÑ = Ñ Ñ = 0,019 , εJ 0 J0 J0 |
= 0,028 . |
(5.68) |
71
6 +(&&- ('4 #- !++:'# ! 1 3 / (8!2 3 *($!'!3 '#! (5.65) 6+" *&(4 &!0 ( (3 # $ (5.66). ( # 3 9 / (8!2 &(& ' 3 72'-!3 (+,&- 6(&&- ('3. !'. 3).
&-3! 2 192(3! ) *&(4 &- 72' !3 (+,&- *1+,#(#-.+ %& 0 +!&! 0 !* ) (9 &( +!& 0&(" ( 2'!3! 1:;(" 81&25!",+14 &&(" 3 # 6 3 &(!3 &,%!. 2$(6 (# $.
* !'. 3 $!6& , 4# *1+,#(#- !*3 &!0 4 &, 3(+ #2+ &":#'"# / (8!2( +!& 0& 0 *($!'!3 '#!, +14 && 0 3 # 6 3 &(!3 &,%!. 2$(6 (# $. 3 # / , ( (3 # - +!& 0& 0 *($!'!3 '#! (5.66) - 6 + &- ' 3(+ 0 #& '!# +,& 0 / %& '#,: (5.68). # '$!6 # +,'#- $1 # / (3 #& 0 3 # 6!2 $ 6 &!" 72' !3 ( ! #;(# +,& '#! !*3 &!0.
J (2/ 32)
T 2(c2)
!'. 3. ($!'!3 '#, 3 3 ( !& 5!! &() ( 6!'2 $ J # 2$(6 (#(! 6( 2 + )(&!0 +(#8 3- 2
2. . 6 $- +& &!" +() (# & 0 () #- « (# 3(#!4 - '2!0 3("#&!2» '#16 - !''+ 61:# 5 '' *(#1.(&!" 2 + )(&!0. -
/+('& # !!, (3 +!#16( 2 + )(&!0 ϕ ' # 4 &! 3 $ 3 &! t !'-$( #- '" 3 & # && 1)-$(:; 0 72' & &5!(+,& 0 81&25! 0
ϕ = ϕ0 exp(−δt) , |
(5.69) |
/6 ( (3 # δ &(*-$( #'" 2 788!5! 3 *(#1.(&!", ( $ +!4!&( ϕ06'#($+" # ' ) 0 (3 +!#161 $ &(4(+,&-0 3 3 $ 3 &!.
72
+,: 72' !3 ( "$+" #'" 6 + &! 2 788!5! ( *(#1.(&!"
δ. ("#&!2 #2+ &":# &( & 2 # -0 &(4(+,&-0 1/ + ! # 1'2(:# ' &1- + $ 0 &(4(+,& 0 '2 '#,:, 6& $ 3 && $2+:4(" ' 21&6 3 . - 5 '' *(#1.(&!" 2 + )(&!0 & '2 +,2 (* 6& $ 3 && !*3 ":#'" (3 +!#16( 2 + )(&!0 (1/ + #2+ & &!" # + 9 &!" ($& $ '!") ! $ 3", % 6% ' 3 3 ( &(4(+( 2 + )(&!0.
*1+,#(#- 6& / !* 6 )&-. 72' !3 $ '$ 6 &- $ #()+. 2.
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! 2 |
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3" t ( ) |
3 +!#16( ϕ |
Ln(ϕ) |
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(1/+ $- / (61'-) |
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4 |
55 |
4,007 |
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11 |
50 |
3,912 |
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20 |
45 |
3,807 |
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36 |
40 |
3,689 |
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49 |
35 |
3,555 |
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66 |
30 |
3,401 |
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83 |
25 |
3,219 |
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111 |
20 |
2,996 |
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148 |
15 |
2,708 |
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199 |
10 |
2,303 |
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280 |
5 |
1,609 |
*1+,#(#- "3-. !*3 &!0 !$ 6 &- $ $-. 6$1. '# +)5(..
# #, 3 '# +)5 12(*(&- ' #$ #'#$1:;! *&(4 &!" &(#1 (+,&-. + /(-!83 $. + 9!3 4!'+( $ / '# +)5( *&(4 &!"3! xk, ( # #, / —
*&(4 &!"3! zk (k = 1,..., N), /6 N = 11 — 2 +!4 '#$ $- +& &&-. ( !*3 &!0. + 61" 3 # 6!2 , !*+ 9 && 0 $ 6-61; 3 ( (/ (8 ,
$-4!'+!3 $ +!4!&1 b* = –8,57 10–3 '–1, ( *(# 3 $# 0 8 31+ !* (5.62) +14!3 !)+!9 && *&(4 &! 2 788!5! ( *(#1.(&!" 72' - & &5!(+,& 0 81&25!! (5.69):
δ ≈ –b* = 8,57 10–3 '–1.
# )- '# !#, 6 $ !# +,&-0 ! $(+ 6+" !'2 3 / 2 788!5!-( *(#1.(&!", '&(4(+( 6'4!#( 3 6+" '+14(0& 0 $ +!4!&- g* ' 6& -
73
2$(6 (#!4& #2+ & &! (5.16) Sb = 1,21 10–4 '–1 . -) 3 6 $ !-
# +,&1: $ "#& '#, α = 0,95. * #()+!5 !*$+ 4 3 *&(4 &! 2 788!5!-
( #,:6 ( tα, 9 = 2,262 6+" α = 0,95 ! 4!'+( '# & 0 '$ ) 6- N – 2 = 9. +1%! !&( 6 $ !# +,& / ! $(+( 6+" 2 788!5! ( *(#1.(&!" ($&( Sb tα, 9 = 2,73 10–4 '–1. (2!3 ) (* 3, +14!3 2 &4(-
# +,&-0 *1+,#(# $ $!6
8,29 10–3 '–1 ≤ δ ≤ 8,84 10–3 '–1
! 6 $ !# +,& 0 $ "#& '#! α = 0,95.
3. 6& 0 !* *(6(4 +() (# & 0 () #- « *14 &! *(2 & $ 6$!9 &!" ' 3 ;,: 3(%!&- #$16(» "$+" #'" 72' !3 (+,& !*14 &! .( (2# ( 6$!9 &!" # +( 6 6 0'#$! 3 '# "&& 0 '!+-. -
'+ 1'#(& $2! / 1*2( 6 + && 0 3(''- m !*3 " #'" $ +!4!&( t
— $ 3" 1'2(&!" / 1*( ' *(6(&& 0 $-' #- h. 1'+ $!"3 72' !- 3 ( / 1* &(4!&( # 6$!/(#,'" ' &1+ $ 0 &(4(+,& 0 '2 '#,:. -' #(#'4!#-$( #'" # + 9 &!", $ 2 # 3 '2 '#, ($&( &1+:.
/+('& 8!*!4 '2 0 # !! *($!'!3 '#, $-' #- h # 2$(6 (#( $ - 3 &! t "$+" #'" +!& 0& 0, !4 3 1/+ $ 0 2 788!5! ($ & 0,5 a, /6 a — 1'2 &! # +(:
h = at 2 2 . |
(5.70) |
( $ +!4!&1 $ 3 &! 1'2(&!" / 1*( $ 3(%!& #$16( $+!":# (*- +!4&- 8(2# -, 2 # - 3 9& +(/(#, '+14(0&-3! ('3. § 2.2), 4#
!$ 6!# 2 (*) '1 !*3 " 3-. *&(4 &!0 t ! & !*3 &&-. $ +!4!&(.
m ! h. + 61 # #3 #!#,, 4# 7# # (*) ' *&(4!# +,& $-%( # !- ) &1: / %& '#, !' +,*1 3 / 7+ 2# && / ' 21&6 3 (.
7#!3 !4!&(3 $ 72' !3 ! 8!2'! $(&& 0 3('' -
/ 1*2( m 6+" 2(96 / *&(4 &!" $-' #- hi (i = 1,…N) $ 3" 1'2(&!" tis !*3 " #'" & '2 +,2 (* (s = 1,…K), /6 N — 2 +!4 '#$ (*+!4-
&-. $-' #, ( K — 4!'+ !*3 &!0 $ 3 &! 6+" 6 + && 0 $-' #-.1'#, 6+" / 1*2( 3('' 0 12 / )-+! +14 &- *1+,#(#-, !$ -
6 &&- $ #()+. 3.
4 #- . + $-. '# +)5(. *( !'(&- *1+,#(#- "3-. !*3 &!0 $-' #- ! $ 3 &!. !6& , 4# $ 6(&& 0 ' !! -# $ N = 7 ! K = 3.
74
+" $-4!'+ &!" $ +!4!&- 1'2 &!" !' +,*1 #'" $( !( 3 # 6( &(!3 &,%!. 2$(6 (# $, !*+ 9 &&-0 $ 2 &5 § 5.5. /13 3 "$+" #'" $-' #(, 81&25! 0 — 2$(6 (# $ 3 &! 1'2(&!" / 1*(. &(4 &!" ( /1-
3 ( hi ' '#($+":# $-0 '# +) 5 #()+. 3. *3 &&- $ 3 &( 1'- 2(&!" tis $ *$ 6"#'" $ 2$(6 (# ! 1' 6&":#'" 6+" 2(96 0 $-' #- hi ' -
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/+('& 8 31+ (5.30). +14 &&- ' 6&! t 2 |
*( !'(&- $ |
"#-0 '# +- |
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i |
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) 5 #()+. 3. |
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! 3 |
-' #( hi (3) |
3" 1'2(&!" / 1*( tis (') |
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ti2 ('2) |
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qi2 ('4) |
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0,3 |
1,2 |
1,0 |
1,2 |
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1,293 |
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0,129 |
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0,6 |
2,0 |
2,0 |
2,2 |
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4,28 |
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0,47 |
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0,9 |
2,8 |
3,0 |
2,4 |
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7,533 |
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5,39 |
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1,2 |
3,2 |
3,4 |
3,0 |
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10,267 |
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3,278 |
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1,5 |
3,8 |
4,0 |
3,8 |
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14,96 |
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1,622 |
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1,8 |
3,8 |
4,0 |
4,0 |
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15,48 |
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1,622 |
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2,1 |
4,0 |
4,0 |
4,2 |
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16,547 |
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1,793 |
('4 # !)+!9 && / *&(4 &!" 1/+ $ / 2 788!5! ( +!& 0& 0
*($!'!3 '#! 2$(6 (#( $ 3 &! 1'2(&!" # $-' #- |
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t 2 = β h |
(5.71) |
$ 6!#'" $ 0 8 31+ !* (5.50). ! 7# 3 $ 2(4 '#$ $ +!4!& xk
! yk ) 1#'" *&(4 &!" $ / ! "# / '# +)5 $ ' #$ #'#$ &&
#()+. 3. !)+!9 &&-0 1/+ $ 0 2 788!5! b +14( #'" ($&-3 9,00 ('2/3).
C$"*, 1'2 &!" (6(:; / / 1*( ' 1/+ $-3 2 788!5! 3 β 6(-#'" ' ($& &! 3 81&25!0 (5.70) ! (5.71):
a = 2 β . |
(5.72) |
+,*1"', +14 &&-3 4!'+ 3 b = 9,00 ('2/3), $-4!'+" 3 !)+!- 9 && *&(4 &! 1'2 &!" (6(:; / / 1*(:
a ≈ 0,22 (3/'2) . |
(5.73) |
75
+" '# &!" ' #$ #'#$1:; / 6 $ !# +,& / ! $(+( & )-
. 6!3 $-4!'+!#, '133- (5.52) ! (5.53). 2(4 '#$ 3 91# 4&-.*1+,#(# $ $ '+ 6& 3 '# +)5 #()+!5- 3 !$ 6 3 .( (2# !'#!2!(*) '( 2$(6 (#( $ 3 &! 1'2(&!" #& '!# +,& ' 6&!. *&(4 &!0
ti2 , #. . $ +!4!&- qi2 , 2 # - $-4!'+":#'" 8 31+(3 (5.36). ('4 -
#- 6(:# '+ 61:;! *&(4 &!"
Q1 = 8,104 ('4), Q2 = 14,305 ('4) , Q0 = 38,618 ('4).
6& *&(4 &! ( /13 $, !$ 6 &&-. $ #()+. 3, $-4!'+" #'"
+ /2 : h = 1,2 (3). 6& 2$(6 (#!4& #2+ & &! SNb $-'4!#-$( #'"8 31+ (5.54)
SNb = 0,90 ('2/3).
, $ *,3 3 6 $ !# +,&1: $ "#& '#, α = 0,95 ! 6+" 4!'+( '# & 0 '$ ) 6- (N K – 2) = 19 !*$+ 4 3 !* #()+!5- 2 788!5!
#,:6 ( tα,19 = 2,093. /+('& 8 31+ (5.44) +14( 3 6 $ !# +,- &-0 ! $(+ 6+" 1/+ $ / 2 788!5! ( β +!& 0& 0 *($!'!3 '#!
t 2 = β h :
7,12 ('2/3) ≤ β ≤ 10,88 ('2/3). |
(5.74) |
+,*1"', ' #& % &! 3 (5.72), '4!#( 3 / (&!5- 6 $ !# +,- & / ! $(+( (5.74) $ / (&!5- 6 $ !# +,& / ! $(+( 6+" 1'2 - &!". 2 &4(# +,& +14( 3
0,18 (3/'2) ≤ ≤ 0,28 (3/'2) |
(5.75) |
! 6 $ !# +,& 0 $ "#& '#! α = 0,95.
&(4!# +,&(" %! !&( 6 $ !# +,& / ! $(+( 6+" 1'2 &!", !&(- 4 / $ ", ) +,%(" ()' +:#&(" / %& '#, (''4!#(&& / *&(4 &!" 1'2 &!" )1'+ $+ &( (*) ' 3 !*3 &&-. *&(4 &!0 $ 3 &! 1'- 2(&!" / 1*( ('3. #()+. 3), 4# , $ '$ : 4 6,, $-*$(& $+!"&! 3 (*- +!4&-. '+14(0&-. 8(2# $ &( !''+ 61 3 6$!9 &! # +(.
. '+! '# !#, 6 $ !# +,&-0 ! $(+ 6+" '$ ) 6& - / 4+ &( *($!'!3 '#! 2$(6 (#( $ 3 &! 1'2(&!" # $-' #-, +,*1"', 8 31+(3! (5.50), (5.46), (5.55), # 3- +14!3 / (&!4&- *&(4 &!": (−3,09; 1,60). +14 &&-0 *1+,#(# & #!$ 4!# 1#$ 96 &!:
76
# 3, 4# '$ ) 6&-0 4+ & !''+ 61 3 0 *($!'!3 '#! 2$(6 (#( $ 3 &!1'2(&!" # $-' #- !3 # &1+ $ *&(4 &! .
4. # # !3 6&(*&(4 & 6+" '#16 $ '#( %!. 21 ' $, ' 5!(+!*! 1:;!.'" 8!*!2 #$ 6 / # +(. +() (# & 3 (2#!- 213 6 6(25! 0 8 '' ( . . .+ $( 6&( !* () #'$"; &( !*14 &!: # 3 (#1 & 0 *($!'!3 '#, 7+ 2# $ 6& '#! (3 8&-. +1 $ 6&!2 $ $ (*+!4&-. # 3 (#1 &-. 6!( (* &(..! 2 3&(#& 0 ! & '2 +,2 ) + $-' 2 0 # 3 (#1 16 +,&(" - $ 6!3 '#, (3 8&-. +1 $ 6&!2 $, ' /+('& # !!, 16 $+ #$ !-
# +,& !'-$( #'" '+ 61:; 0 72' & &5!(+,& 0 *($!'!3 '#,::
σ = σ0 |
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− |
E |
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, |
(5.76) |
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exp |
k BT |
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/6 T – ()' +:#&(" # 3 (#1 (, |
kB – |
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'# "&&(" +,53(&(, |
E – |
7& /!" (2#!$(5!! $ 6!3 '#!. +!4!&( σ0 !3 # '3-'+ 6 +,& 0$ 6!3 '#! 6+" $-' 2!. # 3 (#1 .
# 6!2( !''+ 6 $(&!" # 3 (#1 & 0 *($!'!3 '#! 7+ 2# $ 6- & '#! 6 )& !'(&( $ 12 $ 6'#$ 2 12(*(&& 0 +() (# & 0 () -
# . *1+,#(#- !*3 &!0 6+" 6& / !* ) (*5 $ !$ 6 &- $ 6$1. - $-. '# +)5(. #()+!5- 4.
2' & &5!(+,&(" *($!'!3 '#, (5.76) 3 9 # )-#, ) (* $(&( $ +!& 0&1: (5! 0 + /( !83! $(&!", 2(2 7# )-+ !'(& $ § 5.6 !6 3 &'# ! $(& $ !3 2 6(&& / ( (/ (8( :
ln (σ) = ln (σ0) − |
E |
1 |
. |
(5.77) |
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k B T |
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4 $!6& , 4# (5.77) 6'#($+" # ' ) 0 +!& 0&1: *($!'!3 '#, &(- #1 (+,& / + /( !83( 16 +,& 0 $ 6!3 '#! # ) (#& 0 # 3 (#1--.
77
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! 4 |
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3 (#1 ( |
6 +,&(" |
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$ 6!3 '#, σi , |
1/Ti |
ln(σi) |
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Ti ,°K |
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10−3 3−1 '3−1 |
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289,1 |
3,459 |
0,003459 |
-17,28 |
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291,5 |
3,431 |
0,003431 |
-17,10 |
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293,9 |
3,403 |
0,003403 |
-16,95 |
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295,7 |
3,382 |
0,003382 |
-16,81 |
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298 |
3,356 |
0,003356 |
-16,69 |
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299 |
3,344 |
0,003344 |
-16,59 |
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302 |
3,311 |
0,003311 |
-16,45 |
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304 |
3,289 |
0,003289 |
-16,33 |
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305,9 |
3,269 |
0,003269 |
-16,22 |
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307,4 |
3,253 |
0,003253 |
-16,12 |
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309,5 |
3,231 |
0,003231 |
-16,00 |
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311,4 |
3,211 |
0,003211 |
-15,89 |
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313,4 |
3,178 |
0,003191 |
-15,77 |
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314,7 |
3,178 |
0,003178 |
-15,67 |
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316,7 |
3,158 |
0,003158 |
-15,58 |
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318,1 |
3,147 |
0,003144 |
-15,49 |
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320,9 |
3,116 |
0,003116 |
-15,33 |
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323,5 |
3,091 |
0,003091 |
-15,20 |
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325,2 |
3,075 |
0,003075 |
-15,08 |
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!'+ $- *&(4 &!" $ +!4!& 1/T ! ln(σ), +14 &&- !* *1+,#(# $ 72' !3 (, !$ 6 &- $ # #, 3 ! 4 #$ # 3 '# +)5(. #()+!5- 4.+(/(" 4!'+( # #, / '# +)5( *&(4 &!"3! ( /13 ( xi, ( 4!'+( 4 #-
$ # / − *&(4 &!"3! 81&25!! yi, |
!3 &!3 8 31+- (5.11) |
3 # 6( |
&(!3 &,%!. 2$(6 (# $ ! +14!3 |
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B = − 5632 , |
G = 2,213 . |
(5.78) |
+!4!&( b !* (5.78) $ ' #$ #'#$!! ' § 5.6 6'#($+" # ' ) 0 #- & % &! 7& /!! (2#!$(5!! 2 '# "&& 0 +,53(&( ' ) (#&-3 *&(- 2 3. 3& 9!$ 4!'+ b &( –kB, +14!3 7& /!: (2#!$(5!! ! $- (*!3$ 7+ 2# &$ +,#(.:
78
E = 0,485 7 .
+" $-4!'+ &!" / %& '#! +14 && 0 $ +!4!&- E (''4!#( 3
' 6& 2$(6 (#!4&1: / %& '#, Sb 8 31+ (5.16). ()+!5( 4 ' - 6 9!# *1+,#(#- !*3 &!0 6+" 19 *&(4 &!0 ( /13 $, 7# 31 2 - 788!5! #,:6 ( 6 +9 & !*$+ 2(#,'" !* #()+!5- !+ 9 &!" 3 6+" 4!'+( '# & 0 '$ ) 6-, ($& / 17. (6(6!3'" 6 $ !# +,& 0 $ -
"#& '#,:, ($& 0 α = 0,9, ! +14!3 2 788!5! #,:6 ( t = 1,74. 3& 9 &! 2 788!5! ( #,:6 ( &( ' 6& 2$(6 (#!4&1: - / %& '#, Sb = 2,9 10−3 6( # +1%! !&1 6 $ !# +,& / ! $(+( 6+" 7& /!! (2#!$(5!!. (2!3 ) (* 3, *1+,#(# 6 + &!" 7& /!! (2- #!$(5!! *( !'-$( #'" $ '+ 61:; 3 $!6
E = 0,485±5 10−3 7 ! 6 $ !# +,& 0 $ "#& '#! α = 0,9.
+14 && *&(4 &! 7& /!! (2#!$(5!! "$+" #'" .( (2# &-3 6+" (3 8& / 2 3&!".
+!4!&( σ0 $-4!'+" #'" ( (3 # 1 g (5.78):
σ0 = exp(g) = 9,143 3−1 '3−1.
('4 # 6 $ !# +,& / ! $(+( 6+" ( (3 # ( σ0 # )1 # 6$( !-
# +,& / $-4!'+ &!" ' 6& 2$(6 (#!4& 0 / %& '#! Sg 8 31+ (5.18), 4# 6( # Sg = 0,11. (&!5- 6 $ !# +,& / ! $(+( $ 7# 3 '+14( $-4!'+":#'" 3 # 61, !*+ 9 && 31 $ § 5.6. !9&"" / (&!5(($&(:
exp(g − t Sg) = 7,553 3−1 '3−1, $ .&"": exp(g + t Sg) = 11,073 3−1 '3−1.
+ 6 $(# +,& , ! 6 $ !# +,& 0 $ "#& '#! α = 0,9 $ +!4!&( (-(3 # ( σ0 + 9!# $ '+ 61:; 3 ! $(+ :
7,553 3−1 '3−1 < σ0 < 11,073 3−1 '3−1
79
&(4!# +,& #+!4! $ +!4!&- σ0 # *&(4 &!0 $# / '# +)5( #()+!5- 4 )<"'&" #'" # 3, 4# $ 72' !3 !*3 &!" 7+ 2# - $ 6& '#! $ 6!+!', $ 1*2 3 ! $(+ & $-' 2!. # 3 (#1 .
80