$B=iEyNL;RNO3X9V5AO?(B2005$BG/EYBh#52s(B


$B"+(B$BBh#42s$X(B$B!!(B$B=iEyNL;RNO3X!&NL;RNO3X(B(2005$BG/(B)$B$NL\$B!!(B$BBh#62s$X(B$B"*(B

$BBh#4>O(B $B%\!<%"$N86;RLO7?(B

$B!!A0>O$G=q$$$?$h$&$K!"8w$ON3;R@-$HGHF0@-$NN>LL$r;}$A!"Aju67@_Dj$K$h$C$F(B)$B$=$N$I$A$i$+$NB&LL$r82$o$9!#FC$K%(%M%k%.!<$NITO"B3@-$O!"8w$rGHF0$H$7$FB*$($k$HHs>o$KIT;W5D$J8=>]$G$"$k!#$7$+$7!"$3$NIT;W5D$J@-l9g$K$b$"$k!#J*uBV$G$"$k!#(B

4.1  $B86;RLO7?$N:$Fq(B

$B86;R3K$N$^$o$j$rEE;R$,2s$k(B$B!!%i%6%U%)!<%I(B(Rutherford)$B$O(B1911$BG/$K%"%k%U%!@~$rHs>o$KGv$$6bHD$K$"$F$k.$5$/$J$k!#$=$7$F!"8EE5NO3XE*4QE@$+$i$O!"EE;R$,$I$N$h$&$JH>7B$G2s$k$+$O!"A4$/G$0U$G$"$k!#$?$H$($P!"$[$\F1$8$h$&$J1?F0J}Dx<0$GI=$9$3$H$,$G$-$k!"OG@1$N1_1?F0(B($B7B$K$O$J$s$i@)8B$O$J$$$h$&$K;W$o$l$k!#(B
$B!!$J$*!"%F%-%9%H$G$O?^$K!V=E?4$OM[;R$NFbB&$KMh$k!W$J$s$F=q$$$F$"$C$?$,!"$3$l$O8m$j!#M[;R$OEE;R$N(B2000$BG\=E$$$N$G=E?4$O(B1:2000$B$KFbJ,$7$?E@$KMh$k$,!"M[;R$NH>7B$O86;R$NH>7B$N(B10$BK|G\$N#10J2



[$BLd$$(B4-1] $B7B(Br$B!"3QB.EY&X$N1_1?F0$r$7$F$$$k!W>l9g$N1?F0J}Dx<0$HF1$8$K$J$k$3$H$r<($;!#%/!<%m%s$NK!B'$NHfNcDj?t$r(Bk$B!"AGEE2Y$r(Be$B$H$9$k!#(B
[$BLd$$(B4-2] $B$3$N7O$N;}$DA4%(%M%k%.!<$r!"(Bk,r,e$B$GI=$;!#(B($BCm!'(BM,m,$B&X$O$A$c$s$H7W;;$9$l$P>C$($k(B)



$B!!>e$NLd$$$r2r$/$H$o$+$k$,!"86;R$N;}$D%(%M%k%.!<$OEE;R!&M[;R4V$N5wN%!J$[$\!"86;R$NH>7B$H9M$($h$$!K$@$1$G7h$^$j!"H>7B$,>.$5$$$[$I%(%M%k%.!<$bDc$/$J$k!#86;R3K$NH>7B$O!"86;R$NH>7B$KHf$Y!"(B10$B!](B5$BG\0J2<$G$"$k!#$J$ $B!!!VJ*BN$O%(%M%k%.!<$NDc$$J}$K9T$-$?$,$k!W$H$$$&86B'$+$i$9$k$H!"EE;R$O$3$NEE<'GH$rJ|=P$7$J$,$i!"$I$s$I$s86;R3K$K6a$E$/$O$:$G$"$k!#$=$7$F!"$=$N;~4V$O6C$/$[$IC;$$(B($B>OKv$N1i=,LdBj;2>H(B)$B!#(B
$B!!$7$+$78=l=j$r0BDj$7$F2s$C$F$$$k$h$&$G$"$k!#2?$+$,EE;R$K@)8B$r2C$($F$$$k$N$G$"$k!#$7$+$7!"8EE5NO3XE*$K9M$($k$H$1$C$7$FEE;R$N50F;$K@)8B$,=P$F$3$J$$!#$3$N$3$H$O7B$r2?$+$+$i7W;;$G$-$k$H$7$h$&!#$3$N>l9g!"$=$N7W;;7k2L$K;H$($k!V:`NA!W$H$J$kNL$O(B

$BMKSA$BC10L7O$G$N?tCM(B
$BM[;R$N[M]1.7$B!_(B10$B!](B27kg
$BEE;R$N[M]9.1$B!_(B10$B!](B31kg
$BAGEE2Y(Be[Q]1.6$B!_(B10$B!](B19C
$B%/!<%m%s$NK!B'$NHfNcDj?t(Bk[ML3 T$B!](B2Q$B!](B2]9.0$B!_(B109F$B!](B1m
$B$G$"$k!#Cf1{$NOH$N(B[   ]$B$K=q$$$?$N$O$=$l$i$NNL$N;}$D23$B!#%/!<%m%s$NK!B'$NHfNcDj?t$Ne$N$h$&$K$J$k$N$O!"(BF=[(ke2)/(r2)]$B$N$h$&$K!"(Be2[Q2]$B$r$+$1$F(Br2[L2]$B$G3d$k$HNO(B[MLT$B!](B2]$B$K$J$k$+$i$G$"$k!#(B
$B!!$b$786;R$NH>7B$,7W;;$G$-$k$H$7$?$i!"$3$l$i$NNL$r;H$C$F:n$i$l$?!"D9$5$NC$7$F$/$l$kAjC$7$F$/$l$kAj24$B!#(B
$B!!$3$N$h$&$J$*$+$7$J7k2L$K$J$C$?M}M3$H$7$F!"!V(B$B86;R$NFbIt$N$h$&$J%_%/%m$JNN0h$G$O!"%^%C%/%9%&%'%k$NEE<'M}O@$d%K%e!<%H%sNO3X$,@.N)$7$J$$$N$G$O$J$$$+!)(B$B!W$H$$$&9M$($,Ib$+$V!# $B!!$=$3$G!"%W%i%s%/$,!V8w$N%(%M%k%.!<$O(Bh$B&M$N@0?tG\$G$"$k!W$H$7$?$h$&$K!"(Bh$B$r4^$`>r7o$r$D$1$k$3$H$G$3$N>u67$,2sHr$G$-$k$N$G$O$J$$$+$H9M$($i$l$k!#$"$j$,$?$$$3$H$K(Bh$B$N2T$B!](B1]$B$G$"$j!">e$NNL$HAH$_9g$o$;$k$3$H$G25$B!#!!$G$O!"7B$,$I$&M=A[$G$-$k$+$r$7$a$=$&!#>e$K=q$$$?$h$&$K!"C5n$;$M$P$J$i$J$$!#(Bk$B$K(B[T$B!](B2]$B!"(Bh$B$K(B[T$B!](B1]$B$,F~$C$F$$$k$3$H$+$i!"(B[(h2)/k]$B$H$$$&AH$_9g$o$;$,I,MW$G$"$k!#$3$NAH$_9g$o$;$@$H!"2]$B$G$"$k$+$i!"(B[MQ2] $B$r>C$9$?$a$K(BM,m,e$B$r;H$&!#86;R$NH>7B$K4X78$"$k$N$O86;R3K$HEE;R$NAjBP1?F0$G$"$k$+$i!"AjBP1?F0$r5-=R$9$k;~$K=P$F$/$kC$9$N$,BEEv$@$m$&(B($B$?$@$7!"$3$N>l9g$N49;;4.1$B$r;2>H$;$h(B)$B!#(B
$B!!0J>e$+$i!"86;RH>7B(B($BEE;R$N1_1?F0$NH>7B(B)r$B$O(B($BL52)/(k$B&L(Be2)]$B$H$$$&7A$K$J$k$H9M$($i$l$k!#6qBNE*$J?t;z$r$$$l$F$_$k$H!"$3$NCM$O(B

h2
k$B&L(Be2
= (6.6$B!_(B10$B!](B34)2
9.0$B!_(B109$B!_(B9.1$B!_(B10$B!](B31$B!_(B(1.6$B!_(B10$B!](B19)2
=2.1$B!_(B10$B!](B9[m]
(4.1)
$B$H$J$k!#$3$NCM$O?eAG86;R$NH>7B$h$j$A$g$C$HBg$-$$$N$@$,!"r7o$H$$$&$N$r;H$C$F7W;;$9$k$H!"$3$NEz$($K$OL52)] ≅ 0.0253$B$,$+$+$j!"(B5.3$B!_(B10$B!](B11m$B$H$$$&Ez$($,=P$F!"8=7B$0$i$$$K$J$k$N$G$"$k!#$3$NCM(B[(h2)/(4$B&P(B2 k$B&L(Be2)]$B$r%\!<%"H>7B$H8F$V!#(B

4.2  $B%\!<%"$NNL;R>r7o(B

$B!!A0@a$G$O7B$rM=A[$7$?$o$1$@$,!"$=$NM=A[$N5r$j=j$K$J$C$?$N$O!V8w$N%((B $B%M%k%.!<$,(Bh$B&M$N@0?tG\$G$J$/$F$O$J$i$J$$$H$$$&>r7o$,$"$k$N$J$i!"EE;R$N1?F0$K$b2?$+(Bh$B$K4X78$9$k>r7o$,$"$k$N$G$O$J$$$+!)!W$H$$$&9M;!$@$C$?!#$=$N>r(B $B7o$O%\!<%"(B(Bohr)$B$NNL;R>r7o$H8F$P$l$k$b$N$G!"EE;R$,1_50F;$rIA$/$H9M$($?>l9g$K$O!"(B
$B&L(Bv $B!_(B2$B&P(Br = nh
(4.2)
$B$H=q$+$l$k(B$B!J%F%-%9%H$G$O(Bm$B$G$7$?$,!"EvA3$3$3$G$b&L$G$9!K(B$B!#(Bn $B$O<+A3?t$G$"$j!"(Bh$B$O%W%i%s%/Dj?t$G$"$k!#(Bh$B$,$A$g$&$I(B($B1?F0NL(B)$B!_(B($B:BI8(B)$B$H$$$&r7o$,=P$F$/$k$^(B $B$G$O!"D9!A!A!A$$OC$,$"$k$N$@$,!"$3$3$G$O$*$*$6$C$Q$K!"!V(Bh$B$,<0$KF~$C$F$/$k$H$7$?$i!"(B($B1?F0NL(B)$B!_(B($B:BI8(B)$B$H$$$&7A$K$J$C$F$$$l$P/$7J*M}E*$K$o$+$C$F$/$k$H;W$&!#(B
$B!!$3$N>r7o$K$h$C$FEE;R$N%(%M%k%.!<$O2<8B$r;}$D$3$H$K$J$k!#%\!<%"$N>r7o$O(Br$B$,>.$5$/$J$k$H(Bv$B$,H?HfNc$7$FBg$-$/$J$k$3$H$r<($7$F$$$k$,!"1?F0J}Dx<0$O(Br$B$H(Bv2$B$,H?HfNc$9$k$H$$$&@)8B$rM?$($F$$$k!#N>J}$r@.N)$5$;$k$K$OFCDj$N50F;$7$+2s$l$J$$$3$H$K$J$k!#(B
$B$3$3$G!"7W;;$NCf$K(Bh$B$,EP>l$7$F$-$?;~$K!"<+A3?t(Bn$B$,$$$C$7$g$K$/$C$D$$$F$-$?$3$H$r;W$($P!":G=*7k2L$G$b$=$&$J$C$F$$$k$@$m$&$H9M$($i$l$k!#7B$O(B[(h2)/(k$B&L(Be2)]$B$KHfNc$9$k$3$H$,$o$+$C$?$N$@$+$i!"7k6IH>7B$O(B($BL52h2)/(k$B&L(Be2)]$B$H$$$&<0$K$J$k$@$m$&!#$D$^$j!"EE;R$N1?F0$NH>7B$O!"(Bn2$B!_(B($B%\!<%"H>7B(B)$B$N$h$&$K!"(Bn2$B$KHfNc$9$k!#(B
$B!!0lJ}!"EE;R$N;}$D%(%M%k%.!<$O!](B[(ke2)/2r]$B$GI=$5$l$k(B($BLd$$(B4.1$B;2>H(B)$B$+$i!"A4%(%M%k%.!<$O(B
$B!](B($BL$Dj$NL5 k2 $B&L(Be4
n2 h2

(4.3)
$B$H$J$k!#(B($BL$Dj$NL52($B$3$NCM!"%F%-%9%H$G$O4V0c$($F$^$7$?!#D{@5$7$F$*$$$F$/$@$5$$!K(B$B$G$"$k$3$H$,$o$+$k(B($B>OKv1i=,LdBj$G $B!!%\!<%"$O!"NL;R>r7o$,K~$?$5$l$F$$$k;~$K$O8EE5NO3X$G$N1?F0J}Dx<0$,@.N)$7$F$$$F!"EE;R$OEE(B $B<'GH$rJ|=P$9$k$3$H$O$J$$$H9M$($?!#$?$@$7!"8e$G=R$Y$k$h$&$K$"$k50F;$+$iJL$N50F;$X(B($B$D$^$jNL;R>r7o$N(Bn$B$,0c$&>uBV$X(B)$B0\$k;~$K$O!"$=$N50F;4V$N%(%M%k(B $B%.!<:9J,$N%(%M%k%.!<$r5[<}$^$?$OJ|=P$9$k!#(B
$B!!86;R$,0BDj$7$FB8:_$G$-$k$N$O!"$3$N>r7o$,K~$?$5$l$J$$50F;$,B8:_$7$J$$$+$i$G$"$k!#FC(B $B$K!"(Bn=1$B$N50F;$h$j%(%M%k%.!<$NDc$$>uBV$,B8:_$7$J$$$N$@$+$i!"$=$l$h$j$b2<$KMn$A$k$3$H$O$G$-$J$$!#C1$K!V%\!<%"$N>r7o$,$_$?$5$l$F$$$l$PEE<'GH$,J|(B $B=P$5$l$J$$!W$H$@$1K\$K=q$$$F$"$k$3$H$,$h$/$"$k$,!"$h$j:,K\E*$JM}M3$H$7$F!V%\!<%"$N>r7o$K$h$C$F%(%M%k%.!<$K:GDcCM$,$G$-$k$N$G!"$=$N:GDcCM$K$J$C$?(B $B$i$b$&%(%M%k%.!<$r$b$C$?EE<'GH$rJ|=P$G$-$J$$!W$H$$$&$3$H$rM}2r$9$Y$-$G$"$k!#NL;R>r7o$,$J$1$l$P!"$3$N@$$K$"$k86;R$O$_$J!"86;R3K$N%5%$%:$^$G=L$s$G(B $B$7$^$&$3$H$K$J$k(B($B$=$NA0$K86;R3K$bB8:_$G$-$J$$$@$m$&$1$l$I(B)$B!#(B

4.3  $B>uBV$NA+0\$H86;R$N=P$98w(B

$B:#5a$a$?DL$j!"?eAG86;RFb$NEE;R$N;}$D%(%M%k%.!<$O!](B[$B&E(B/(n2)](E1= -$B&E$H$7$F?7$7$$J8;z&E$r;H$C$F=q$-D>$7$^$7$?!#D{@5$*4j$$$7$^$9(B)$B$GI=$5$l$k!#$7$?$,$C$F(Bn=1$B$KBP1~$9$k50F;(B($B4pDl>uBV(B)$B$O0BDj$G$"$k$,!"(Bn= 2,3,4,$B!D$N>uBV(B($BNe5/>uBV(B)$B$O$=$&$G$O$J$$!#EE;R$O$9$-$5$($"$i$P$h$j%(%M%k%.!<$NDc$$>uBV$X$HHt$S0\$m$&$H$9$k!#5U$K2?$+$+$i%(%M%k%.!<$r$b$i$&(B $B$H!"$h$j9b$$50F;$X$HHt$S0\$k!#$3$l$r!VA+0\!W(B(transition)$B$H$+!VNL;R%8%c%s%W!W$J$I$H8@$&!#ESCf$N50F;$ONL;R>r7o$,5v$5$J$$$N$GB8:_$G$-$J(B $B$$!#$?$H$($P(Bn=n2$B$+$i(Bn=n1($BEvA3(Bn2 > n1)$B$X$HA+0\$9$k$H!"%(%M%k%.!<$,(B
En2$B"*(B n1 = $B&E(B ( 1
(n1)2
$B!](B 1
(n2)2
)
(4.4)
$B$@$1M>$k!#(B($B%F%-%9%H$G$O&E$N$H$3$m$,(BE1$B$H$J$C$F$^$7$?$,!"$=$l$@$HId9f$,$"$$$^$;$s!#D{@5$7$F$*$$$F$/$@$5$$!K(B
$B86;R$+$i=P$k8w(B
$B%\!<%"$O86;R$,8w$r=P$9;~$O!"$3$N$h$&$J50F;$NA+0\$,5/$3$j!"$=$N;~$KM>$C$?%(%M%k%.!<$,8w;R0l8D$K$J$C$FJ|=P$5$l$k$H9M$($?!#$=$N;~=P$k8w$N?6F0?t$O%(%M%k%.!
h$B&M(Bn2$B"*(B n1 = $B&E(B ( 1
(n1)2
$B!](B 1
(n2)2
)
(4.5)
($B%F%-%9%H$G$O&E$N$H$3$m$,(BE1$B$H$J$C$F$^$7$?$,!"$=$l$@$HId9f$,$"$$$^$;$s!#D{@5$7$F$*$$$F$/$@$5$$!K(B
$B$rK~$?$9!#$3$N<0$O!"$=$l$h$j$bA0$+$i5a$a$i$l$F$$$?!"?eAG86;R$+$i=P$F$/$k8w$NGHD9$K4X$9$k<0(B

1
$B&K(B
= R( 1
(n1)2
$B!](B 1
(n2)2
)
(4.6)
$B$HHf3S$5$l$?(B(R$B$O%j%e!<%I%Y%jDj?t(B)$B!#&M(B = [c/$B&K(B]$B$r;H$&$H$3$NFs$D$N<0$O40`z$K0lCW$7!"%\!<%"$N86;RLO7?$,8=ZL@$7$F$$$k!#(B
$B1j?'H?1~$GBeI=$5$l$k$h$&$K!"86;R$O$=$l$>$lFCM-$N8w$r5[<}!&J|=P$9$k!#$=$l$O3F86;R$4$H$KEE;R$N2s$C$F$$$k50F;$H!"$=$N%(%M%k%.!<$NCM$,0c$C$F$$$k$+$i$G$"$k(B($B?eAG0J30$N86;R$N>l9g$O!"EE;R$,#28D0J>e2s$C$F$$$k$N$GOC$,$:$C$HJ#;($K$J$k(B)$B!#(B

4.5  $B1i=,LdBj(B

[$B1i=,LdBj(B4-1] $B%1%W%i!<$NBh#3K!B'(B($B8xE><~4|$N<+>h$H50F;D97B$N#3>h$,HfNc$9$k(B)$B$r!"l9g;H$($kJ*M}Dj?t$OK|M-0zNODj?t(BG$B$G$"$k(B)$B!#(B
[$B1i=,LdBj(B4-2] $B89$rEA$o$k2#GH$NEAGEB.EY$O!"89$N@~L)EY&Q$H89$ND%NO(BT$B$K0MB8$9$k(B($B%.%?!<$N89$r9M$($F$_$h(B)$B!#$I$N$h$&$K0MB8$9$k$+$r
[$B1i=,LdBj(B4-3] $BEE2Y(Bq$B$r;}$C$?N3;R$,2CB.EY(Ba$B$N2CB.1?F0$r$7$F$$$k;~!"C10L;~4V$"$?$j(B[(2k(aq)2)/(3c3)]$B$N%(%M%k%.!<$rEE<'GH$H$7$FJ|
[$B1i=,LdBj(B4-4] $BLd$$(B4.1$B$G7W;;$7$?EE;R$N;}$DA4%(%M%k%.!<$N<0$G!";~4V$K$h$C$FJQ2=$7(B $B$&$k$b$N$O(Br$B$@$1$G$"$k!#$3$NA4%(%M%k%.!<$N<0$N;~4VHyJ,$K%^%$%J%9Id9f$r$D$1$?$b$N$O!"$5$C$-7W;;$7$?C10L;~4V$KJ|7B(B5.0$B!_(B10$B!](B11m$B$N$H$3$m$r2s$C$F$$$?$H$7$F9M$($h!#(B
[$B1i=,LdBj(B4-5]
$BLd$$(B4.1$B$G:n$C$?8EE5NO3X$G$N1?F0J}Dx<0$H%\!<%"$NNL;R>r7o$r;H$C$F!"?eAG86;R$N;}$D%(%M%k%.!<$r7W;;$;$h!#7k2L$r!](B[(E1)/(n2)]$B$H$$$&7A(B(E1$B$ODj?t(B)$B$GI=$;!#(B
$B7k2L$r?tCM$G=q$/$H!"(B
En = $B!](B 13.6
n2
eV
(4.17)
$B$G$"$k$3$H$r<($;!#(B
[$B1i=,LdBj(B4-6] $B?eAG$G$O$J$/!"%X%j%&%`$r9M$($k!#$?$@$7EE;R$O0l8D$7$+2s$C$F$$$J$$$H$9$k(B(He+$B%$%*%s$N>uBV$G$"$k(B)$B!#$3$NEE;R$N;}$D%(%M%k%.!<$H4pDl>uBV$G$N86;R$NBg$-$5$r7W;;$;$h!#?eAG$HHf$Y$F!"2?G\0c$&$+!)(B
[$B1i=,LdBj(B4-7] $B?eAG86;R$N2s$j$KEE;R$G$J$/&LN3;R(B($B@-uBV$G$NBg$-$5$ODL>o$N?eAG86;R$KHf$Y$F2?G\$+!#(B
[$B1i=,LdBj(B4-8] $BB@M[(B($B30kg$B!#@E;_$7$F$$$k$H$_$J$9(B)$B$N$^$o$j$rCO5e(B($B24kg)$B$,H>7B(B1.5$B!_(B1011m$B$N1_1?F0$7$F$$$k$H$7$h$&!#$3$N1?F0$KBP$7$F$b%\!<%"$NNL;R>r7o$,@.N)$7$F$$$k$H$9$k$H!"(Bn$B$O$$$/$i$0$i$$$K$J$k$@$m$&$+!)(B($BK|M-0zNODj?t(BG$B$O(B6.7$B!_(B10$B!](B11Nm2kg$B!](B2)
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Footnotes:

23$BJU$NC10L$,B7$o$J$/$F$O$$$1$J$$!W$H$$$&$H$3$m$+$iM}2r$7$F$$$/$H$h$$!#(B
24$BG0$N$?$a$K=q$$$F$*$/$H!"EE;R$,86;R3K$N$^$o$j$r2s$C$F$$$kMM;R$J$I!"Ev;~$O$b$A$m$s!"8=:_$G$b8+$k$3$H$J$I$G$-$J$$!#!VF1$850F;$r2s$C$F$$$k!W$HH=CG$G$-$kM}M3$O!"EE;R$N;}$C$F$$$k%(%M%k%.!<$,7h$^$C$?CM$G$"$k$H9M$($i$l$k$+$i$G$"$k!#(B
25$B%W%i%s%/$O;O$a$F%W%i%s%/Dj?t(Bh$B$rF3F~$7$?;~!"!VCL$G$"$k$,!"(Bk$B$GI=$5$l$k(BBoltzmann$BDj?t$b!"
File translated from TEX by TTHgold, version 3.63.
On 20 May 2005, 14:04.