原子過程断面積データ集 2 - international atomic energy agency...1976$ 、...
TRANSCRIPT
-
1976$
、
原子過程断面積データ集
第2集
水紫・ヘリウム原子同位体とそのイオン
および光子・電子を含む過程
1976年
編集責任者
高柳和夫・鈴木洋・大谷俊介
-
K
1
Ra-Al-1
Ra-All
Ra-A2-3
IU-A4-1
E-Al-1
E-A2-2
E-A3-1
E- A3- 13a
E-A3-13t-
E-A3-18
E-A3-19
E-A3-20
E-Bl-1
I-Al-1
I-Al-2
I-Al-2
I-A2-6
Re-B-1
Re-D-2
M-D-l
M-D-l
M-D-l
O-Dl-3
An-1
IT JE ii m
$. d . i )
A (l.l) tnxmH
tun FCJII*
* * ! • . * " > r. f r l !
* > c h f r f > i 8 t r U
I-.*-*", 9 f i l l
F*-'"> 2 t i l l
mb > b 2 t i l l
F * b Z h fi
IWIW
ISO*
*>C hA'b 6 ff 13
TfrMfrB
K*vb 1 tiff
F*'b 5 TTHT A1 h 3 ff H Sn3(t
»>"> 2ffH
A ( 3 ) Rolh三 (E27)
McGowan (E~皇』
Koller (E30)
Dixlon (E29)
…実験的にいういろ… | ・実験的にいろいろ…
.. .p;・cenlini_,j十W:...一'Piacenlini~ ~十w:…測定されているE:I~ 1:11. E.・…i則定されているF.J , ~I'. [い..
-・・抵ムネルギーの司11.... …低工*.J~ ギーの.. (.…
…通常行なわれてい |…通常行なわれている
Energy 2!. Ran酔‘・・ I Energy Ranll". …推定 Lて日 l…t肯定 LてH ・
3) , . ,6,8. Schwa!tz: , , , I 3),.. 6.8. Schwa!tz: , , , .. Hiの金生成断面積,一 |… wの全生成断面積,・・・・田解躍すると考える このような…|…解躍すると考えるとこのような…
ドかι6fi臼 I d:>> 1 本文上から 6行11加筆 "(10"・an')などと…
…大きくこえ …大きくこえて
d
-
(L)
A:
1 1 )
( 2 )
i 3 )
B: He'
C: He
D:
E:
(ME)
A: He, He
P: He, He
A: -
R a - A 1 I") fl - |'j EfiiS ft (free-free transition)
p + He. + He'fn/) - H e " + e
Ra-A 3 *«-^W)Sf?(bound-bound transition)
Ra-A 4
He; 2'S,, 2'S
He-; 2'S,^
Ra-Ar,
He,. He,". He5\ He',". H«!*. HeH", HeH"
B:Multiphoton Exciution (DecxciUtion)
Multiphoton lonizition
第 2集を出すに当って
(L)エネルギー準位
A: Heのエネルギー潮位
11 ) 電子励起
12) ltI: i欠tu
i:ll 刻{-I拘起
B: He ・のエネルギー湘似
C: He""のエネルギー惜似
D: W のエネルギー撤(i~
E: H-ーのエネ)1-ギー潮位
(ME) 多量励起状態
目 次 (初版)
A: He. He の多重励起状態のエネルギー峨位
P: He. He-の多重励起状態の寿命
(Ra)紋射過程
A:一光子過程
R.-Al (1由ー1'1由選符(free-f開., tn田 ition)
• + He. ,+ Hザ.股射むよぴ吸収
R.-A 2 東神戸 n由選梓(bound-fr鴨 tran.ition) hν+ Hc("J) "-Hc' +', He" + 2e hレ『十 Hc'(nJ) ""~ He'・+.
R.-A3 来叫一束縛遷移(boundも由同dtransitlon )
*動子強度f
(!~放射標本 A
励起状態の寿命 t
Ra-A4 場安定状態の尊命
He: 2'SI, 2¥S(I
He'; 2'5,イ
R.-A!i :J(,i f-系の民事f過程He,. He;. Hc¥'. Ho¥". Hel'. HeH". i!eH'・
B:多光子過棺Multiphoton Exeitation (0瞬間itati。川
Multiphoton Ionlzation
-
A: e + U
E-AI
E-A2
B: e + He*
C: e + He*
(I)
A: H' +H,(He)W*
I-A iI-A 2
I-A 3
B: He*
I - B l He* t ' -
I -B 2 He' (He' * (2s) £ ftfc) fcf-
I - B 3 He- •<
C: He'*
I - C l
D: He"
He
I - D l He' \£-
E:
I
F:
G:
(Re)
A:
B:
C: -
E l
• + He'" - H e * W ) + *
+ e + He'(He" I - H
+ He- + He" - He(«/) + He
+ He" - He" - He* +h»,
He* - H e + *v,
- 2 -
(E)電子衝突(全衝突断面積・弾刊:散乱・励起・電雄)
A: e + He衝突
E-Al 総本過程
E-A2 高励起状態の生成
B: e + He"衝突
C: e+He+衝突
(I)イオン衝突
A: H' + H,(He)衝突l-A 1 稽伯作鋤
}-A 2 照的の励起
}-A 3 照的の電雌
B: He'ピーム衝突
I-B 1 He'ピームの散乱
1 -B 2 He' (He'・(2s)を;rむ)ビームの電術移動I-B 3 He'イオンとイオンとの衝突
C: He‘・ビーム衝突
I-C 1 He" ビームの電{nT移動
D: He-ビーム衝突
I-D 1 He-ビームの電術移動
E: H正およびH.ビーム衝突
{-E 1 H正ビームの電術移動および解雌
F:理諭の民主語
G:腕反応
(Re) 同結合
A:放射を伴う再結合 . + H~' .-H~( IIi) + ̂ν • + H~“→ Hぜ(r.1) + ~ ν
B:衝突放射再結合 r+'+ H.'(H.") .H.(~{)[He'("{IJ +~ ー+H.' + H~' → Hモ
-
(N)
A.-
(M)
A: ',> M *He- •* Hi- ) Ho . He.M Mr
Hi'- + H, • H.'ll' I II
Mr ( Me • He,' 1 h *
Hi'1 H II • HrH' -I h"
He,' + h" • He' + Hi'
Ho,' + r • He' + Hr f r
' - He* + He
HeH' 4 r • He' + H + c
He,' f M • He' + He + M
HeH- + M -He- + H +M
iM: Ar. Kr. NO. O,. CO, CO,.
C: He (He*) + H2ffi
-
C: He-TyXvtpOZ.*:? h
D: Zfy X-? ty
-
nft ••,&)• •*>
x
-
C f J 4 Pfl Off '1 Ail i i. ) i: I £„ it: ^f*«fi: S t->T i> 4 #*#* • £ + *!!*. ; « i 5 SJ&M'tofcftBlUJE'
T4fiAT. -MHW««(7)ltn ?• 0 lt T. ^«!fl'2 (6(t« 1 (fit |fl]MK WSJ
•TtL T f -
mm i-ft i-r » y--co(*(fti *,->*Him ? - ^ft-r-ttH ^ A-o^r-ttfifir- yatfeOTjisiHm f̂n^ H S » *'?f 5 M I 4 c i i: 5
f - y AfM5t J UMX l-.if b h 4 w t
l 52 ff- 9 li
fI-A iffl W fil >;
SCVfifW A- 'ff (ft it
タ績が惜:しいのであっτ、本物のデー宇が入手できなければ、経験則からlf.かれる近似ftrt,でもよいから収鍬すべき花。都 1t匹のように、範l哨を挟〈限って伴 Lい収息をしても実地の慢に立たな L、。これらの批判:t、都 H匹とそのブLプリン l在員、l荷Iする t勺
にできる限り l~ 'J入れるようにl..t~o また今慢の 11:事にもで与る tl け反映させでゆきたいρ
d 内し干ムたちのとっている考え方かιすれば、このような系統的な分矧に媒づく綱廠的な収集l止、将来必警になると予想され
る全般的なデータパンヲ作りの基礎となるものである。これらの耳障材を悲にして始めて、 占 ~4 1l的意占織値の lは4 つ F りしたデ-一F タ J
価という jガf向へi進量fむJことができるのだと 4考号える。このような性信づけの結製1:.lて、この:?o2!1W:o再I悠と 1.,)様、附遣するすへ
での週間を制緩L、実験データと理組計算結果を系統的に選択し, JJlillljとして生のまま収録することに Lたn この息11窃 II島と
ともに色.のf世われ力がありうると思う。明jTiに一致しない数字の11111Qが、{列え liひとつの断面繍付術史エネルギー曲線に'I!r,円
込人であることは、このヂ-j1~ プラ;;:..シュミレーンヨンに問う1I1~の人 lニと勺で lみ{町中IJでないかも知れない ニの".η・ι婦も
伺何できるデータと Lでどれを選ぶかは、+のところ利JIII'1の判断に(f:されているわわれれれスタデイグループの ~tl創,'1正、 lJ/.
s,の収自H 碁に vr;忙のt苦情でいわゆる押Ili,高みデータ告Il!る1l:棋に過f:1A円である n ごのために、'l-lflfrの SGの11*のひと
つとしてヂ-$' ~~価のあ円 1j についての研究が保円J. i r.;れている。杭出・lil火学プうズ-,.fi:;4(.;附にI.)-(Ntから斬し〈械倣fr研究,11>1桶情報セ〆タ・が目世間島 11、干の".の・1¥111"1として柿刷frのため
のIi;if回分 "'j'タセン eーの崎純atlつ制u帽の蝿泌が F泣きれでいるのごこではご *1:tt:'のSGのfl:事が1,l:1j(的に';1麟がれるとともに、 l同際的 Fータセン世凶闘の・湾,':L ,(、"ータ似棋の分机.,,"-l'
また、イト僚の鰍崎直介研悦の迫u.によ "Jて'1:j'る斬たなず-v (1)'lI~内 1 ,:付して ι 、 ての輔l織が小心とな, ,解決してゆ11.~ j.うな体hl1lllりが明まれるe、
鍋怖に、 l詞隙~ (-}J慣例(lA F:Al の J:.I~l によ p で厳近開始された、柑楓f干のための If,U 分 r 'l'- タ ~jl南jにつ i 、 7 ・汗した P.
このi/ti柑 1:微細 fr研究のよ値胤に仲つでお迎に '1,じてきた I~( r分 h'ータ申書備への¥N向l、IJューえるため、内11日に時W'j'晶ヂータ」七〆ターの|聞の協力と鯛憶をl湖町、|司際的セ〉ター側舎町俗 tるとと ιlよ、丸田副Udび散防 fータの組織的似11¥と配布Urなう 1事由IJをftiろうと tるものである。この"的で、 111'1[-:11 JIに1:1.U K Culh.m研'究所でAd¥'isaryGrour M~~tin_'\'lr なわれ、精悌介・
原子二分千およびデータ ~n関係MO敵名がIt "Jてi珂際テ タセシター劇作rりのためのIAEAへの勧作自まとめたのこの働;りに従 J
で今年 511にliWienて¥デ-, 9 センター質(1:1;の会{tが聞かれ、日ケ 11H1のセ〆ターか.-,賞作拘が参加して、いくつかの!~体的
なf十棋の発足を取り決めたのその中には、 [AEAが械融合のための国H 分子デー?の[nt.rn.tion.lBull.tin I季刊)を出版する
こと、さしあたり 1衝突関係の文献の刊町lultrindexについて l叫際f(l rmat をと '1 きめ、 1978旬、本までにその il.献indexの都 1 舎を H~
版することなどが合まれているc またこの会合では、歓航 Fータの.xch.ngeformAtの制定やデータ収民円分割l~ どにつ t ‘ても浪
論された。この点についてほ、この会捕では各センターから、J,ま門機倒的な造幣~引き H\すことが P きなか,たようだが、同1
If 5円のデータセン F一会合?は何らかの形で数値デーヤ収集のi同際的分jllのとり告的がliなわれることになろうのその際にも
!原子過程関係の干ータがl't先きに取,:げられることになる!lti!が慣れ‘。今後ともこのヂータ集の判111荷請11';の御批判・御崎健告
願うものである。
樹齢 この栂の仕事に当初から深い理解告示L‘持 LいHSI日lに激励と瓦怜をいただいた刈IIJ晶リ1・,li川芳彦・大林治夫.{j/n 弘の諸先生に感尉する。また広い IJI.野のもとに適時 tt (a!l批判!と叱正をいただいたい III~孝明先生に感謝する n
昭和!立年 9/j
制UH'f(f:荷,ili 開 府 } ; :
SG慨任!i鈴本 i芋
S G 'I~持 1.'3 J.:. ?t を介
-
(L)hkミネルギt単位
-
L-A
L-Al
Het *>ft#T> >-rn>i?ISIlUi-i->l?r-&m--n>TU, Moore," Martin,""' Bashkin and Stoner,Jr."' « i « * < * * , , Moore i Martin « t O l t (1 *, RI) 5(r . l i l? i f ) i ! i f8 f « HWt f t t . J i t 4 0 Baihkin-Stoner ^ (,(7)| i 11 s , „ /) 3 , ^ it Sr L-A-Table-1, L-A-Fig. ] , L-A-Fig. 2
-
L-A2
i > * He
r^TRyli 'J K^'l. r£ t t ( = 0.5a.u. 13.6 eV )?*>*„ ^ z c * £>f>fi4 *», fil-f-fcfli
(Quantum Defeet) 4«flf r lt®Z f fri: 4;ft+ 5 MttT-A 5*'.
JA:L-A-Table2i: *..i«fltfrT>"T". L-A-Flj. 4 i: ««.,
-
L - A 3
He «2«-f»&UTl>TtJMartin,E3>BashHnandStonerJr.E4>
zingstate)r-*>*), Z(Tifcth\:
He" - He* + e
(Photoioni-
zation) ^iff iMWW r-jiZVmt-it, l > h » 4 Beatler-Fano
•„.„,. «%», It r,,r,, t(:(Jffl?. i 4) A'ISlfitt«£ S S. -f 3r,,,r- r,., ia.tr£.ta
; : f k l tHc'+ c c^SBf-WAWtl'-Jtt. £ l i A.#J-_T. +. ;u -V~. Er+ i / ' 4 *,•< C t
ri;-9i .>TItM»ssey«ndBurhopT 8>,BurkeT 9>i:j:>Ti 4 f t » j h T l > 4 o ^ i i ^ S r L-A-Tsble 4 i:>j5
it^^^^'-HHHr.inSts^tf Grotri»n Diigr«m & L-A-Fig. 6 fc-J: y L-A-Fig. 6 IZ/jct.
4 b . Sbi:iffLi'HeC)f!8B*fc!4lte
-
LA-Table 1(a)
Energy levels of one-electron excitation in 'He
Desig.
^s^'S
Z3S -2s'S
2p3P"
2plP°
3s 3S3s'S
3p V
U>D
3rf'D
3p'/>0
Ap3P"
Ad3D
Ad'D
Af3F"4f'F°
AplP°
5s 3S5s'S
5rf3D
5rf'n
j
0
10
210
1
10
210
321
2
1
10
210
321
2
3
1
10
•210
321
2
Level {cm"4)*
0.00 ±0.15
159856.069166277.546
169086.8636169086.9400169087.9280
171135.000
183236.892184864.936
185564.6540185564.6760185564.9466
186101.6436186101.6460186101.6903
186105.065
186209.471
190298.210190940.331
191217.1237191217.1327191217.2430
191444.5334191444.5846191444.6029
191446.559
191451.98191451.99
191492.817
193347.089193663.627
193800.8021193800.8067193800.8621
193917.2427193917.2434193917.2528
193918.391
Leva! (eV>*
0.0000
19.819820.6160
20.9643020.9643'i20.96444
21.2182
22.718722.9206
23.0073123.0073123,00735
23.0739
23.0743
23.0873
23.594223.6738
23.7081
23.7363
23.7366
23.737323.7373
23.7423
23.972224.0115
24.0285
24.0429
24.0431
Level (cm"1)"*
-198310.76
- 38454.691- 32033.214
- 29223.8964- 29223.82- 29222 832
- 27175 76
- 15073.868- 13445.824
- 12746,106- 12746,084- 12745.8134
- 12209.1164- 12209,114- 12209.0697
- 12205.695
- 12101.289
- 8012.55- 7370.429
- 7093.6363- 7093,6273- 7093.517
- 6866.1766- 6866.1754- 6866.1571
- 6864.201
- 6858.78 i- 6858.77
- 6817.943
- 4963.671- 464- 133
- 4509.91.9
- 4509iif79
- 4393.5173- 4393.5166- 4393.5072
- 4392.369
I*•>
Level (eV)**
-24.5876
-4.7578-3.9716
-3.6233-3.62329-3.62316
-3.3694
-1.8689-1.667
-1.58029-1.58029-1.58026
-1*137
-1.6133
-1.5003
- .9934- .9138
- .8795
- .8513
- .8510
- £503- .8503
- .8453
- .6164- .5861
- .5591
- .5447
- .5445
* Level spacing measured from the ground state; He (Is2, '51.* * Levei spacing measured from Ate ionized state; He* (Is) + e.
-L -A-4 -
L・A.T・bl・1(・lEnergy levefs of one-efect.伺 nexcitation in・He
Desig. J Level !cm--l,. Le咽!(eV," Level (cm・1,“ Level (eV'""
IS215 。 O.∞:1:0.15 0.0000 -198310.76 -24.5876
2.: 35 1 159856.0関 19.8198 -38454.691 --4.7578 2s IS 。 166277.546 初訓60 -32033.214 -3.9716 2p 3po 2 16ω86.8636 20.96430 -29223.8964 -3.6233
1 16凱鴻6.94∞ 2O.9643i -29223.82 -3.62329 。 16凱鴻7.9280 孤 .96444 -29222832 -3.62316 2p Ipo 171135.0∞ 21.2182 -2717576 -3.3694 3s 3S 183236.892 22.7187 - 15073.868 -1.8曲目3s 's 。 184864.936 22.9206 - 13445.824 -1.667 3p 'p. 2 1865斜届40 23.00731 -12746.106 -1.58029
186684.67凶 23.00731 -12746、個4 -1.58029 。 '86684.9466 23.凶 736 -12745.8134 -1.58026 3d'O 3 186101.8436 同 12209.1164
2 186101.8460 23.0739 -12209.114 同 l.fi137186101.6卸 3 -12209.0697
3tJ10 2 186106.066 23.0743 -12205.696 -1.5133
司plp。 186209.471 23.0e73 - 12101.289 -1.5003
4s 's t 1叩 298.210 23.6942 ー田12.55 一朗344s IS o 1叩 940.331 23.6738 - 7370.429 ー .9138
4p3p。 2 191217.1237 - 7093.閃 63191217 .1327 23.7081 - 7093.6273 一 .8796。 191217.2430 - 7093.517
4d30 3 191444.5334 一切66.17662 191444.6846 23.7363 一回66.1754 一 .8513
' 191444.6029 - 6866.1571 4dIO 2 191446.559 23.7366 - 6864.201 一 .8510
4f3FC 191451.98 23.7373 一回目.78 ー息切34fIF。 3 191451.99 23.7:i13 - 6858.77 一.日開3
4plp。 191492.817 23.7423 - 6817.943 -.8453
5s3S 19:お47.0鴎 23.9722 - 4963.671 一 .615455 IS 。 193663.627 24.0115 - 4l;r 133 -.5861 fIO 3p。 2 193800.:回 21 - 4切9.9t,包
1 193800.8067 24.0285 - 4~ng.f~i33 -.5田 t。 193800.8621 - 4509.IW79 制 3D 3 193917.2427 - 4393.5173
2 193917.2'伺4 24.0429 - 4393.5166 ー.日47193917.2528 - 4393.5072
制 In 2 193918.391 24.0431 - 4392.369 一‘.5445
• lc制副 sPICingme・sur凶fTomthe QI司undst・t・;HHee.nsz,aS4. •• Le咽 isp・cingm・・su四d軒。m肋・ioniHdst・te;He. "s) +・.
ーしA-4-
-
L-A-Tible 1(b)
Energy levels of one-ekctron excitation in "He
Desig.
5flF°5s3-'G
5p'P°
6s 3S6s'S
6p3/>°
6cf 3D
6c/1 D
Gf'F"
6p'P°
7s 357s 'S
7piP°
7diD
7f'F"
7/3.1/
7p'/>°
8s 3S8s'S
*>3»°
8r"'F°
J
3
1
10
210
3
1
2
3
1
10
210
321
2
3
1
10
210
2
31
Level (cnT'l"
193921.18193921.19193921.73
193942.57
194936.23195115.00
195192.9055195192.9081195192.9398
195260.1657195260.1661195260.1713
195260.86
195262.49195262.50195262.84; 95262.89
195275.04
195868.35195979.04
196027.3970196027.3986196027.4183
196069.7298196069.7300196069.733i
196070.2230196071.272196071.2757196071.459196071.494196071.52
196079.24
196461.42196534.88
196566.8189196566.8200196566.8332
196595.18196595.54196596.17
196596.17196601.51
Level (i'V|*
24.043424.043424.0435
24.0460
24.169224.1914
24.2011
24.7094
24.2095
24.209724.209724.209724.2097
24.2113
24.284824.2985
24.3045
24.3098
24.309824.310024.310024.310024.310024.3100
24.3110
24.358424.3675
24.3714
24.374924.375024.3751
24.375124.3757
Level (cm~'l**
-4389.58-4389.57-4389.03
-4368.19
-3374.53-3195.76
3117.8545-3117.8519-3117.8202
-3050.5943-3050.5939-3050.5884
-3049,9
-3048,27-3048,26-3047,92-3047,87
-3035.72
-2442.41-2331.72
-2283.363-2283.3614-2283.3417
-2241.0302-2241.03-2241.0269
-2240.537-2239.488-2239.4843-2239,301-2239,266-2239.24
-2231.52
-1849.34-1775.88
-1743.9411-1743.94-1743.9268
-1715.58-1715.22-1714,59
-1714.59-1709.26
Level
-
L-A Table 1(c)
Energy levels of one-electron excitation in 4 He (continued)
Desig.
9 s 3 S9s'S
9p'P°
9d'O9dlD9f3F°9f 'F°9p 'P°
10s 'SlOs'SlOp *P°10rf ' 010rf'Diof'F°
10p XP°
i is 'SUs'S11pV°Hd'OUrf'D11fVnffiip'p-
12s3S12s'S12p'P°12d3D12rf' D12f V °12p'P°
13s 3S13s'S13p3P°13d JD13c/'D13f ! F °13p'P°
14s'S14s'514/3 3P°14d'D14d'O14f3f°14o'P°
15s3S15s'S\Sp*P°15rf3O15ty'O15f V °15p'P°
J
10
2I0
2
31
10
2
31
10
2
31
10
2
1
10
2
1
10
2
1
10
2
1
Level (cm"1!'
196862.0419691298
196935.4192196935.4200196935.429
196955.28196355.52196956.04196956.04196959.79
197145.28197182.17197198.34197212.88197213.0700197213.433197213.4341'97216.24
197352.89197380.44197392.72197403.47197403.6200197403.893197403.89401r7405.99
197509 52197530.68197540.19197548.41197548.54197548.76197550.36
197630.75197647.38197654.82197661.21197661.22197661.50197662.75
197726.37197739.67197745.65197750.69197750.75197750.92197751.94
197803.12197813.95197818.83197822.91197822.96197823.15197823.91
Level (eV)'
24.408024.4143
24.417!
24.4196n4.419624.419724.419724.4201
24.443124.447724.449724.451524.451524.451624.451624.4519
24.468924.472324.473824.475224.475224.475224.475224.4755
24.488324.490924.492124.493124.493124.493224.4934
24.503324.505424.506324.507124.507124.507124.5071
24.515224.516824.517624.518224.518224.518224.5184
24.524724.526024.526624.527224.527224.527224.5273
Level (cm"')"
-1448.72-1397.78
-1375.3408-1375.3400-1375.331
-1355.48-1355.24-1354.72-^354.72
1350.97
-1165.48-1128.59-1112.42-1097.88- 1097.69-1097.327-1097.3259-1094.52
-957.87-930.32-918.04-907.29-907.14-706.867-906.866
-904 77
-801.24-780.08-770.57-762.35-762.22-762.00-760.40
-680.01-663.38-655.93-649.55-649.54-649.22-648.01
-584.39-571.05-565.11-56007-560.01-559.84-558.82
-507.64-496.81-491.93-487.85-487.80-487.61-486.85
Level (eVT*
-0.1796-0.1733
-0.1705
-0.168-0.168-0.1679-0.1679-0.1675
-0.1445-0.1399-0.1379-0.1361-0.1361-0.136-0.136-0.1357
-0.1187-0.1153-0.1138-0.1124-0.1124-0.1124-0.1124-0.1121
-0.0993-0.0967-0.0955-0.0945-0.0945-0.0944-0.0942
-0.0843-0.0822-0.0813-0.0805-0.0805-0.0805-0.0803
-0.0724-0.0708-0.0700-0.0694-0.0694-0.0694-0.0692
-0.0629-0.0616-O.06 tO-0.0604-0.0604-0.0604-0.O603
* Level spacing measured from the ground; He (1s!, 'S\.' * Level spacing measured from the ground; He* (Is) + e.
- L - A - 6 -
L・A.T.bleHc)
Energv leve's 01 one吋electronexcitation in 4 He (continued'
白期g. J Level (cm ~ )" Level (eV," Level (cm →)"" Level (eV,""
9s 3S 196862.04 24.4080 -1448.i2 -0.1796 9s 's 。 196912.98 24.4143 -1.397.78 -0目17339p 'p。 2 196935.4192 -1375.3408
196935.42∞ 24.4171 -1375.3400 -0.1705 o 196935.429 -1375.331
9d 3D 196955.28 24.4196 -1355.48 -0.168 9d'D 2 1960155.52 内4.4196 一1355.24 -{).168 9f 'F。 196956.04 24.4197 -1354.72 -0.1679 9f' F。 3 196956.04 24.4197 -~ 354.72 -0.1679 9p 'po 196959.79 24.4201 一1350.97 -0.1675
10s ,'s 197145.28 24.4431 -.1165.48 --0.1445 10s 's 。 197182.17 24.4477 -1128.59 -0.1399 IOp "p。 197198.34 24.4497 -111~.42 -0.1379 1【)d"D 1ヨ7212.88 ~4.4515 -1097.88 -0.1361 1【hf'FD 。 2 197213.07∞ ~4.4515 1097.69 -0.1361 10f 3 197213.433 24.4516 -1097.327 -0.136 10f 'F。 3 197213.4341 24.4516 --1097.3259 司 0.136IOp 'p。 197216.24 ~4.4519 -1094.52 一0.1357
Ils ,'s 197352.89 24.4689 --957.87 -0.1187 Ils 's 。 197380.44 24.4723 -930.32 -0.1153 IIp 3p。 197392.72 74.4738 -918.04 -0.1138 lld"D 19ヲ403.47 24.4752 -907.29 -0.1124 11d'F D 。 2 197403.62∞ 24.4752 -907.14 -0.1124 11 f 3 197403.893 24.4752 -706.867 -0.1124 llf' FO 3 197403.8940 24.4752 -906.866 -0.1124 IIp 'p。 1れ7405.99 24.4755 -904 77 -0.1121
12s 3S 197509.52 24.4883 一郎1.24 -0.'凹9312s 's 。 197530.68 24.4909 -780.08 -0.0967 12p 3p。 197540.19 24.4921 -770.57 -0.0955 12d1D 197548.41 24.4931 -762.35 -0.0945 12d' D 2 197548.54 24.4931 762.22 -0.0945 12f lF。 197548.76 ~4.4932 -762.00 -0.0944 12p 'p。 197500.36 24.4934 -760.40 -0.0942
13s 's 1976羽).75 24.5033 --680.01 -0.0843 13s 's 。 197647.38 24.5054 --663.38 -0.0822 13p lp。 197654.8:? 24.5063 -655.93 -0.0813 13d1D 197661.21 24.5071 -649.55 -0.0凶 513d'D 2 197661.22 24.5071 -649.54 -0.0凶 513f lF。 197661.00 24.5071 -649.22 -0.0805 13p 'po 197662.75 24.5071 -648.01 -0.0鈎3
14s lS 197726.37 24.5152 -584.39 -0.0724 14s 's 。 197739.67 ~4.5168 一571.05 -0.07伺14p 'po 197745.65 24.5176 -565.11 -0.07∞ 14d1D 197700.69 24.5132 -56007 -0.0694 14d'D 2 197700.75 24.5182 -560.01 -0.0694 14f 3F。 197700.92 24.5182 -559.84 -0.0694 14p 'p。 197751.94 24.5184 -558.82 -0.0四2
15s lS t 197803、12 24.5247 -507.64 -0.0629 15s 's 。 197813.95 24.5260 -496.81 -0.0616 15pJp 0 197818.83 24.5266 -491.93 -0.0610 15d30 197822.91 24.5272 --487.85 -0.0氏A15d'O 2 197822.96 24.5272 -487朋 -0崎0415f"F
O 197823.15 24.5272 -487.61 -O.06C鳩
15,0 'po 197823.91 24.5273 -486.85 -OJJ603
• Level spacing measured from the ground; He (15', 'SI. 日 Levelspacing "田asuredfrom the ground; He+ (151 + e.
-L・A・6-
-
LATable 1(d)
Energy levels of one-electron excitation in 4 He (continued!
Desig.
16s JS16p3/>°
17s 3S17p3P°
17d'D17p'P°
18p'/'°
20p'P°
21p 3/>°
22p3P°
J
1
21
1
21
21
1
1
1 Limit
Level (cm"')*
197865.87197878.69197882 00197882.01197882.82
197917.53197928.26197930.96197931.00197931.65
197969.75197972.00197972.07197972.58
19S004.85198006.75198007.21
198034.80198036.4198036.79
198060.58198062.3
198082.89
19B31O.76±O.O2
Level (eV)'
24.532524.534124.534524.534524.5346
24.538924.540224.540624.540624.5406
24.545424.545624.545624.5457
24.549724.549924.5500
24.553424.553624.5537
24.556624.5568
24.5594
24.5876
Level (cm"1)"*
-444.89-432.07-428.76
-428.75-427.94
-393.23-392.50-379.80-379.76-379.11
-341.01-338.76- 338 69-338.18
-305.91-304.01-303.55
275.96-274.36-273.97
-250.18-248.46
-227.87
0
Level (eV)**
-0.0551-0.0535-0.0531-0.0531-0.0530
-0.0487
-0.0470-0.0470-0.0470
-0.0422-0.0420-O.0420-0.0419
-0.0379-0.0377-0.0376
-0.0342-0.0340-0.0339
-0.0310-0.0308
-0.0282
0
* Level spacing meatured from the ground state; He (1s :, 'S)." Level spacing measured from the ionized state; He* (Is) + e.
-L-A-7-
L-A-Table 1(d)
Energy levels 01 one吋electronexcitation in 4 He (continuec)
De~ig. J Level (cm -, )' Level (eV)' Level (cm →γ・ Level (eV)"
16s .15 197865.87 24.5325 -444.89 -0.0551 16,ρ3pO 197878.69 24.5341 -432.07 -0.0535 160'30 19788200 24.5345 -428.76 -0.0531 160' '0 2 197882.Q1 24.5345 -428.75 -0.0531 161' 'po 197882.82 24.5346 -427.94 -0.0530
17s 35 197917.53 24.5389 -393.23 -0.0487 17p 3p。 197928.26 24.5402 -392.50 -0.01'74 17d3n 197930.96 24.5406 379.80 -0.0470 17d'0 2 197931.00 24.5406 -379.76 -0.0470 17p 'p。 197931.65 24.5406 -379.11 -0.0470
1日P3po 197969.75 24.5454 -341.01 -0.0422 160'30 197972.00 24.5456 -318.76 -0.0420 160' '0 2 197972.07 24.5456 -338 (39 -0.0420 18p ", 0 1 197972.58 24.5457 一338.18 -0.0419 1%"P。 19!!1)Q4.85 24.5497 -305.91 -0.0379 190・'0 198006.75 24.5499 -304.01 -0.0377 19p Ip。 198007.21 :14.6600 一303.55 -0.0376
20ρ 3p。 198034.80 24.5534 275.96 -0.0342 2αj "0 198036.4 24.5536 -274.36 -0.0340 2()p 'po 198036.79 24.5537 -273.97 -0.0339
21p "p。 19関印.58 24.5566 -250.18 -0.0310 21d.10 198062.3 24.5568 -248.46 -0.0308
22p .1po 19808:1.89 24.5594 -227.87 -0.0282
He+(25IiJ Limit 19悶 10.7610.02 24.5876 。 。• Level spacing meatured from the ground state; He (1s', 15). 日 Level spacing measured from the ioniz~d state; Hぜ(15)+ e目
-L-A-7-
-
L-A-Table 2
Quantum Defects values (recomended values) of 8 . , for He**
triplet state 6.,/ for singlet jtate
0
1
7
3
4
5
6
7
8
0.297
0.690
0.29 x
0.45 x
0.122
0.437
0.187
0.909
0.484
x 10"'
10"2
' 0 - '
x 10-1
x 10 "
x l O ' 4
x 10 "*
x 10"5
0.140
-0.118 x 10"1
0.22 x 10"'
0.44 x 10"'
0.122 x 10' J
0.437 x 10""
0.187 x 10"1
0.909 x 10"'
0.484 x 10~5
-L -A -8 -
L・A.Table2
Quantum Defects values (同comendedvaluesl of Ii~. I for He"
s Ó~.t for 引nglet;tate
EapO
守
'no
0.140
-0.118 x 10'"
0.22)( 10-'
0.44)( 10-'
0.122 x 10']
0.437 X 10-4
0.187 X 10-4
0.909 X 10-<
0.484 x H'ベ
g
δ."tf町 tripletstate
0.297
0.690 x 10寸
0.29 x 10-'
0.45 x ',r' 0.122)( 10-"
0.437 )( 10~
0.187 X 10.4
0皿 9)(10-'
0.484)( 10目 5
0
1
?
3
4
-L-A.8-
-
L-ATable 3
Quantum Defects in He £>n t;Comparison between Experiments and Calculations
State Experimental values Calculated values
3S{ U, np)
'S(\s,r\p)
JP
JO(ls,nrf |
'D{U, nrf)
lF (Is, nf)
0.3108 (32S)0.3020 (33S)0.297 (n = °°)
0.1493 )
(n = »)
('2PI(' 3P)
( n - - |
(33O)
(n = ~)
('3D)
(n = « |
~* (n = •
~* (n =c
" Empirical limiting value T S :
- L - A - 9 -
l.A.Table 3
Ouantum Defects in He 0 11.1'
Comparison between Experirr,ents and Calculations
Sta担 Experimental values Calculated values
JS( Is, np) 0.3108 ('25) 0.311 t'25}
0.3020 ("'3S) 0.302 ('3S) 0.297 (n =∞) 0.3∞ (n =帽)
's (1s, np) 0.1493 ('25) 0.156 ('2S) 0.1434 ('3S) 0.52 ('3S) 0.140 (n立国) 0.142 (n =∞l
'P(ls,np) 0.062 1、2P) 0.0623 (' 2P) 0.067 ('3P) 0.06印 ('3P)
0.068+0.001 川=4-13)
0.064t 0.005 (nと14)0.069 (n ~同)' 0.070 (n =皿)
'P (1s, np) -0.0094 "2P) 0.0094 (' 2P)
0.0111 (' 3P) 一0.0111 ('3P) -0.012010.003 (n" 5-15)
-0.凹 98土日間5(nと16)0.0118 (n =∞)' 0.0127 (n ~国l
-'0 (ls, nd) O.C0219 ("30) 0.0022 (' 3D)
O.∞28010.0∞4 (n = 6-11) 0.0040土0.0007(n = 1;t-18) 0.0029 (11 =国)' O.∞30 (n =叫
'0 (ls, I1d) 0.00177 ('3D) 0.0018 ('301
O.∞2010.0003 (n = 3-12) 0.003110.0∞3 (n = 13-18) 0.0022 (n =∞) . O.∞18 (n =国i
-'F (ls, nf) 3.710.3焚 10' (11 = 4-61 5.0-8.0 x 10'" 4.5 x 10'" (n =∞} ,n = 7、15)
'F (ls, nf) 3.2-5.0 x 10‘ (n = 4-8) 9.5 X 10-5 (n = 9) 4.4 x 10'" (n =∞}
‘Empiricallimiting value TS~
ーしA-9ー
-
+ +
• —
—.
—•
I
W
—
-
'j|
In
U
l U
en tn y
i (71
tn tn
tn en
en o
i
to
"OCy
j T
i to
tn t
n
tn
en
"* C
o o
o T
> T
J o "O
"D O
-O to
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oO
n.
iO
°
°O
to "
6 o
T>
Tj t
o
**j
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cn
e^
tne
ne
ne
ntn
en
<n
cn
cn
cn
<n
cn
uru
roo
co
cp
OQ
-^o
Jcn
en
§8888
8e
ne
ne
nro
roe
nO
en
00
4k
ooocnoooooo
ggggg 8^88^3S888S 8^ 8 8
SSSSS 82222222222222 22222222222 22 2 2
28SSS8S8SS2S83 SS
8O
O O
O
0(
*-J
OJ
CJ1 U
l -»
C co e
Gi
ro
cn e
n t
n c
nco
C
OO
O^
Jco
bi t
o b
ooo
*^J -
»*o
88
88
88S
2ro
n
ro
Q
OQQOQOQOOOO
o
--O
OP
OO
-»
O-»
CO
-»
O-*
ro
oncn
cocnoiro o
en
OO
-*—
»r
en
CT
CO —
-J
O)
io o
co a
t to
x x
x x
x
xx
x x
xx
-• —
en
cno
oN
j c
n-*
-^*.
(ofj
iox x
co
^
jeo
roro
x>
x-
>-
*x
/;
xx
_»
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. o o
,o '
i i
~l
|OCO
-̂1
X X
o o
o
ro *—* /
CO en x o1
—*
ho
X o
X _* o
—*
; CD X O
X O
CO ; 5.0 X O
00 cn X 10"
m m
uu
m m
CO
CO
m COm u
m COm
m m
mco
to
co
eo
o
ni rn
PI ffl f
fl f
fl r
n rn
rn
rn
rri m
mto
totv
uto
toc
oc
oto
toc
oc
oc
o-• r
ob
o J:*
i»
Ox
1
oi
^J c
o c
n c
oto
co in
<o
X
1 K"°
3c
ox *
x
^ i
o
X o t
0000090000
00
00
O3 0
0 C
O 0
0S
CO
CO
Co'
CO
00 C
OC
O (
+ to mit CO 8 O cn r o f*. en 03 •vJ cn
sig. a. 3 t r - Q
-
LATible 4(b)
Energy levels of two-electron excited states in 4 H e .
Desig.
2,7 sp(+)2p7d
(2p7rf?)2,8sp(-)
(2,8sp(+|?)2p7rf
(2,8 sp
-
r
eV
0 -
- 1 -
0 -
-1 x iO 4 -
- 2
- 3
-2x10*-
. - 3x 10*-
20 x10*
ns'S np'P" nd'D nVf ns'S nd'D nf'r
-20 x tO
19 x10*
18x10*
17 x10*
16. J10*J
1Oll) 197193 j 03J .1 l 197208.0 -v/10(4J^I=-9(3^.11 19«9S0.36~9Mii)
19/176.36-v ,10(0) 197210.41-V/1OI1I 197207 0 8 - ( , 1 0 ( 2196907.13—910) 196953.95 9(1) 196049.49 9(2) .196629 Ol-r^aim 196595-56-0-8(1) 196589 73J=\8(21 196B9O 3.rT-8
-
ns'S20 x 10J-r
CO
L-A-Fig. 2 Grotrian diagram of He one-electron excited states.
nd'D nf'Fo np‘P" 同‘Snf '!= ~ nd 10 ns'S np 'P"
20x 10.
~E 18 x 10' u
忌
E w
17 x 10・
16 x 10・
19 x 10・
ー「・》・
-ωl
Grotrian di勾ramof He one-electron excited瑚 tes.L・A.Fig.2
。
-
161
10"
IO-1
10-'
3D
Jo
1
3S
is
3p
f
5
1
e
5
5
t
6
6
(ALLSUBLEVELSI
1 p
T
— -
= W-
T=TERM
5
5
5—i '
- W « , = 7^
ENERGYi
6
6
R
(cm-11
7
7
7
7
7
7. - •«
)
1
8
R
8
8
8
8«=:
1
i
1012 17
1012 16
1012 ~
22
)012 P2 0 -
l rTi8
L-A-Fig. 3 n-depence of quantum defect values for helium from NBSatomic energy tablesE2-E5>.
-L -A -14 -
100
10-1ト
10~・
10~'
3F 』
lF
10'"ト
10~
35 5 6 . 15 5 6
-ド
3p 5 6 守 .
(AιL 5U日ιEVEι51
7 8 1012 17 --肉・ー・4・・園、78 101216
7 8 1012 ←ーー→骨骨崎、
22
1p 5 678
5 6 7 . .
5 6 4 -
-R T=W-W田宮 {n+ol、4
T= TERM ENERGY (cm寸}
T
L・A-Fig.3 n-depence of Quantum defcct values for helium from NBS
atomic energy tablesE2 ,E5).
-L-A-14-
-
/ (orbital angular momentumi
0 1 2 3 4 5 6 7 8
10P
10"
10"
I6I10- '
10"
10"
10"
xO
* x Triplet State
\ \ O Singlet StateV
V\\
sNX
L-A- Fig. 4 /-depence of quantum defect values 8 ^ e
-L-A-15-
1ぴ
10'"
10-2
I O 110-~
104
10-'
10~
。
)(
o
F唱
。
1 (orbital angular momentuml
2 3 4 5 6
ふ血、丸、、、、、。、、
l( Triplet Stete
o Singlet St8te
、、、句、、、、
@ 、、、、@ 、
7
、、、• 、
しA-Fig‘4 l-depence of quantum defect valu哩sli帽 e.
-L・A・15-
8
、、命、
-
o>I
eV fn
175 -
60 X!
70
66
65
60
'P*He I4S/S,,) 4,,477.976c
/ 'D 'D-
1 above He Hv"S- >.
M3
56 x
53 x10-
47JO'
2• 10*•16 x' 10"
604924 082 — 4.6 w602046.960 - - 4.5 IP*
5949,9 388—4.4 >p*
—586407,064-1 r 3,8 IP1
585851.537^-3.7 p"57800, 2 7 2 — 3.4 IP*
5M143 0 6 7 — 3.3 SP*
526371.197-,r 2.10IP*S26O94.276-JL- 3,9 »*525707.07fri| 7J$
He'Up.-P.^I 411477.622cm - 1 abov« H**ni. :S-
He*(4*;S.6f 609787 95 cm above He ITi", JSt,l
H«*(3i. ]S,A1 390,40. 761cm'1 Jbc~e He'rit. J s
HV{3!. '5,41588461.730*,-' abovs He 11 i J . 'S ,
l 39O14OJB22 on*' abov« Hê^
* i20 ;f., I 32917,1
521340 — 2-2p3p
507720 ~ 2>3i
501200—2p'
506175.33 — 7
521*33
S16775
510111 i50892O
— 2o*d
— 2p3d 5 1 8 2 4 C
h-u- 2,3 ip-
52J920 2p5d
5144735—2p3d
i— ?p3p
Energy Level Icm
508920 2.3*p«"^—^JS«« Bibliography
Efwgv (.«ve( fem
470310 — 2>2p
19*310 76 cm"'
I2S587 eV,
l i 1 ' S o - H.' 1 f 'S % l
Tm'n. ' I o n duMHtJ is . &B>
L-A-Fig. 5 Energy leve. diagram of He two-electron excited states.
'Dι 'D 'P'
Fτ
"巴"4宣丸!s匂,.1 ~11"71 ,976cm 一 '""拘菅 H.."ll‘臥凡J‘5_.'' 1唱P /'ゆD 吻D"5 'P
一一一一一一一一一、¥、 HefI4p,!P'i.1 411.?7.622cm-1 abQorI!H.p・115.:5-曲岨2・岨2-4,6咽・ ¥ 宇% ・ー酎,0
-
I o
L-A-Fig. 6 Grotrian diagram of He two-electron excited state?
'0'
〉
OE凶Z山
!?'》・4
一wl
Grotrian diagram of He two-electron excited statl!S' L・A-Fig.6
-
L-B H
2e'He. 'He W»g-i:-3i«T MooreEI>
GrotrUn Diafram *' Baihkinand Stoner, Jr.E!>CJ; ->T ' M ^ H r i > 4 oL-B-T»ble 1, L-B-Fig. 1 tei'J1 L-B-Fig. 2 i:^+
-
LB-Tabto 1
Energy levels of * He* and 3 He*
Config.
Is
2P2»
3p3s3p,3c'3d
*P4s*P,*d4rf,4/¥
5p5c5p, 5rfSd.Sf5/. 5*tag
6p6c6p,6d
6/.W6j.«r6*
7i, etc.
8s. ttc.
9s. ttc.
10s, ttc.
11s, ttc.
12s, ttc.
13s, ttc.
14s, ttc.
Desig.
is's
2p2/>°2s2S
2P2P°
3p2P°3s
M 3 D . 3p2P°
4p2P°
4d2D. 4p3P°« 2 D, 4TF°
4TF°
5pJP°5tsS5rf2D, S p V
5*r2Gl
6s2S * " "« 3 D , 6p3P°6
-
eV
eV55
np1 P
rn
dJD
nf F"
ng
:G
-10
-15
45x10*-
SO
40 x
10
*
45
43349035*-, ,-9(1.-2)432051.054 -K
-BI1/2I
479951.707 711/21
426717.129 «(1/2>
421352665 — 5(1'2)
8(1/2.3/2. ffi}J&
^W.sb
m%
ii421352 e55
r^5l1/7. 3^1 J2Jg|Jg
|'>5C3'J.5/7l JJiSSTV
411477J31 .,,„ „
,, 411471.074 -,,„ .A
41147».H»_
41,477 .56
-4,1
/2!
JJJJ^
SJ—
«d/7. 3/7, JJ {i™™
— 4
-
- b
-10
-15
eV ctT
46x10 •
nsJS nd-'D
5 0 K
45
40
ng"G nh ;H
-55 IL-B-Fig. 2 He+ Grotrian Diagram (H sequence. Configuration: nl)
ns'S np'Pれ n、dごo nf平
卜fト仁ι瓦一二二記記」示Jij:i;二示示ιι己示::::ポzr十日一一1一叩世i ん九rL611I2円川川…11川山………I2目U一2口M山…3卸目]/21庖川2引 'T¥.S'JI1…5日刊11 ん~目…7η2 町へ問 9話21;"-一八 6一{ロ印叩伽3卸目釦jぽ山1.1 ? -711/2,3叩 - 71312.5121 - 7fs,,7.7."21 --:: 717 1'2.g/2~~,均二_7{9/2.1"21
一山 Z4314711123421 ・-J…究rタバ口〆""'(':317/2.9121 グ二ベ15-"2.1引
5印0ト//14加 3回 ゲ円'η115引/-.〆チ
1 一一一3訓叩昨川川f1仲川川'ド悶叩'1引2引1 I川!l~-:十一一一3訓叩11………11川山……/々目…一2口山…3口日2引' 必j/;/ 〆Wy
nh'H ng'G
。
1-'.'ー争~ l.mrt
WW/ ili--↓lll
4 0
4
E16 唱。
45
-!>
-10
一15
ー「・∞ふl
He+ Grotrian Diagram (H盟申er間 , Configuration: nl) L・8・Fig.2
-
L - C He"
TKSJS ii£ *3, » « « ^ T ' He' iL
&•+ 4 fi»SR-MI¥iS$tt (AutodeUtchment «Ute)i L TStK S n 5o
WKT'liiS;»)* (Transmision), 5W*»irftBri£S«ia:£ (Elastic cross section, * » f f i » ToUl, » » Differentia!) 4 i ' i : i
0, USSTiiS&IS&ri (Cloted-coupling), $ ^ j i (St»bil!z«tion), £ft$j%K'f*-r£ (Projection operator), S ^ i £ (Variation),
Schuli i : j : - . T t t f t ^ * l t W M - i : ( H ! a t t « l i l t j ( C » i : « i f t - L T l > » i < He-A'*>5 , Hr I ' P s , ,
* 5 O He ' ( l»2» . 'S ) i ; t 1 1 (B " f • > 4. .
I97fi'l!-«H ( i t IW >;)
E 1) G.J. Schul«:R#u. mod. Phys, 45, 378 (1973);Re«ononce m Electron Impact on Atomt and Diatomic Molecutet
(U.S. Department of Commerce, National Bureau of Standards, Washington D.C. 1973) NSRD—NBS 50.
E 2) J.B. Hasted: Phytict of Atomic CoUitions 2nd ed.(Butterworth, London. 1972) p. 453.
E 3) D.R. Sweetman: ProcPAyr Soe.(London)76, 998 (1960),
T 1) E. Holtfien and J. Mitdal: ft-oe Phys. Soc. (London) 68, 815(1955).
- L - C - 1 -
L-C Heーのエネルギー憎位
Heの基底状態1111'の閉殺栴遣をも・ 3ているので.負イ 4ン11形成しな1'0 しか l'励起状態1.1開継であるために電子親和力
が生じ負イ;j';,が形成される。 これらは He+.の弾性散乱の実"で共鳴現象として観測されたり, at..プラズマで H.' とLて観測されたりする。前者は Heの寿命の短t‘場合であ灼.他者1.1寿命の長い場合である。 理論的には He+.の散乱』先勝と結
合する自動電子解離単位 (Autodetatchment・tate)として計算される。
実験でI.t.透過法(Tr・町田i・ion),弾性散乱即i;:;;~測定 (Elastic 町O園陸ction , it断面積 Total,I世分 Differential)などによ
り,理論では強結合法 (Clo目 d-couplinll),安定法 (Stabil;zation),斜膨演算ri.土 (Projectionoperator),変分法 (V町ialion),
R 行列法などの方法で研究されている。これらはSchul~ '" 1ニよ〉てまとめられている。 実験的に共鳴tして観測されている
ものは沢山あり.その中には準{立の同定のはっきりしないものもある。ここでは '1;ι確かであり噸仰の同定も行なわれているも
のを態録した。
Schul~ によってま t められた以外に倣乱状態とは山:1.に結合していない H. が晶る H. 1・Ps.,lの4北陸がr...fl それである。 H.O(112.,・SIにもう If闘の.fーが附持して ( h2.2p,‘P",I の電子配慮をも 1 でいると宥えられる。 H♂(1I2.,'SI 1が量!志の励起状態であるために.これ以下の H.' .• H~ (1 '5 I + rの Decaychannel しか二L~, I~ ギー的にI'f・きれな
な1'0しかしこの necayChann・lは Parlty咲酬であるために刺lIiIt!用がJI・常lこω"0このためにこの H.(・P"JIが孤:.I.ーして作在する喝合の舟命は 1x 10 .秒と膏えられている n
nl:を L・c・T.ble1 に掲げた。なむ.さらに~H い H貯の噸f,r.,時命に E 八、 (Ii IME) Ilr, Hr のtl:酬lW:I!J(1),'.人にまとめられて川る a
1 !l7fi rr ~" (i晴{叩 IJI
E 1) G.J. Schulz: RO!u. mod. PltY" 45,378 (1 973);RcRonanc.. in EI町 lro"Impacl 0" Alom. and D抱lamicMoleculO!.
(U.S. Departmenl of Commerce, N・tionRIBureau of Stand..rd・, WaohinlltonD.C. 1973) NSRD-NBS 50.
E 2) J.B田Ha.ted:Phy.ic. o( Atomic Colli.ion. 2nd ed.(Bullerworth, London. 1972) p. 453.
E 3) D,R. Sweetman:丹唱cPlty.目 Soc.(London )76, 998 (1960)、
T 1) E. HolOi町、 andJ目 Mitdal:丹'ocPhy.. Soc. (London) 68, 815 (1955)・
-l-C-l-
-
L-C Table 1
Energy Levels and their widths in He"
Designation Level (eVI* Width T (eV)
1.(2.)2. «Ps/2
1.2.2p. «P5/J
1»(2plJ, 2P
1«(2plVD3'S
32P
1.4.J l S
I.5.3 aS
2.'2p2P
2«2p2 'D
19.285-19.4
19.74 ~ 19.66
20.34 ~ 20.45
20.3 ~ 21.0
22.34 ~ 22.42
22.50 ~ 22.65
22.951 0.02
23.94 ± 0.02
56.9 ~ 57.3
58.04 ~ 58.4
0.008 ~ 0.014
7 x 1 0 H 1
0.52
0.4
0.045± 0.007
0.02St 0.010
Measured from the Ionized state of He (la1 ' s ' |+ a (OeVf.
Since most data were obtained by the sattering and theory, the values were given only in eV, but In cm"1.
-L -C-2 -
。蝿ign・討開
1.(2・)3.4p5/21a2a2p. 4p 5/3
1・(2p)3.3p 1・(2p)3.30
33S
33p
1.4・33S1・E・33S 2a~ 2p 3p
2a2pZ Zo
L-t-T.bI・ 1
Energy Levels ・ndtheir widths in He-L・時I(・V).
19.285-19.4
19.74 -19.66
初 .34-20.45
20.3 -21.0
22.34 -22.42
22.回 -22.65
22.95土 0.02
23.94土 0.02
56.9 -67.3
58.04 -68.4
Wid倫 r(・V)
O.∞8 -0.014 7 x 10→1
0.52
0.4
0.045士 0.1∞70.025士 0.010
• M・・sur“fromtht ionized stlt・ofH・(1・Z ISI)+・(0・V).Since most d・t~ 刑問。bt・in・d by th・岨tt.rlngInd th・ory.th・v・lu・S川崎日i帽 nonly In.V. but In cm- I •
-L-C・2-
-
L - D
Decay channel *'A •) Z(7)«l*fj|»fttt» ( I ta t tB) t t e ^ L T i ' 5 SB*-? -«« t t l l (Auto-detachment state)
MKt L T W 3 S * n r * T l > * 0 C t t b l i Burke", Schulz1" t Hatted111 i: l< .Vで与えである。
1976年B円(糟部 力)
E 1) G_J. Schulz田 Rev.Mod. PhYI. 45, 378 (1973);'‘ResonanctS in Electron /mpacl on Atoml and D岨 tonic
Moleculeo (U.S. Department of Commerce, National Bure・uof Stand町山, Wa.hinrtonD.C. 1973) NSRDS--NBS 50.
E 2) J.B. Ha.t,.d: Phy.ics o{ Alomic Colli.ion. 2nd ed目 (Butterworlhl,London 1972) p. 451.
T 1) P.G. Burke: R.,onallce in Eleclron Scatttrillll by Alom. and Molecu.lar Phy.ic., in Adv. on Al品m.and Molecul. Phy・vol4. Ed. by D.R. Oale. and 1. Eoterm・nn(Academic Pre.., New York 1968).
ーしD・1-
-
L-DTibli 1
Energy Levels and their widths in H"
State*
n = 1'S
n = 2 ' S
n = 2 3 P
n = 2 ' D
n = 2 3 S
n = 2 ' P
n - 2 ' S
n - 2 ' P
n - 2 'P
n - 3 ' S
n - 3 'P
n - 3 ' 0
n - 3 ' P
n - 3 ' S
n - 3 3 P
Levels (eVS*"*
-0.754± 0.001
9.58± 0.001
9.738± 0.01
10.128± 0.0 i
10.150
10.177
10.178
10.190
10.222
11.733
11.764
11.819
11.915
12.037
12.048
Width, T(eV)
stable
0.043± 0.006
0.0056± 0.0005
O.OC73± 0.002
2.06 x 10"4
4.50 x 10"s
0.00219
0.0002
0.0151
0.0388
0.0483
0.0493
0.0383
0.00853
0.00713
Method **
E,T
E,T
E.T
E.T
T
T
T
T
T
T
T
T
T
T
T
* n means the resonances near the threshold of H*(n).
** E and T means Expesimental and Theoretical Data, respectively.
** Energies are measured from the ionized state H(U) + e (OeV).
-L -D -2 -
t・0・T・bl・1
Ene.羽VLevels ・ndtheir widths in W
5tate・ Lcvels (eV)'" Width, r(eV) Method ••
n= 1 '5 ~.754士 O.∞1 stable E,T n = 2 '5 9.58士 O.∞1 0.04310.∞6 E,T n = 2 3p 9.73810.01 O.∞56:t0脱却5 E,T n =2' 0 10.128士 0.0'; 0.OC73士O.∞2 E,T n = 2 35 10.1田 2.06 x 10~ T
n = 2 1 P 10.177 4.50 X 10-5 T
n -2 '5 10.178 0.00219 T
n. 2 3p 10.1旬 0瓜加2 T
n.2 ,p 10.222 0.0161 T n.3' 5 11.733 0.0388 T
n.33P 11.764 。目0483 T
n. 3' 0 11.819 0.0493 T
n.3'P 11.915 0.0383 T
n.31S 12.037 O.凶 853 T
n -3 3p 12.倒 B 0.00713 T
• n Il官・nstheresonancesne・rthe thr田 holdof H・(n).•• E and T means ExpesI IT鴨川・Iand Theoretical Dat・,respectiv・Iv.・・・ Energiesana IT睡asuredfrom the ion ized state H ( ") + e (Qe V ).
-L-D・2-
-
L —E H ' l
H" t »-?-£ M&?mX- Walton, Peart and DolderE" l±
H + e — H + It
CDeinaiS^BilSrffi i ' . #l»fc«&i)Hl£o « » K i : : t Taylor and Thom»t T "fc i t / Hazi »nd TaylorT2> C
-
(ME)$>
Kb
m
怖多量動起状態
-
ME-B Lifetimes of Multiply-Excited Statesof Helium Atoms and Negative Ions
I. Lifetimes of Doubly-excited States of Atomic Helium
Helium atoms in doubly-excited states may, in general,
decay by two possible mechanisms, the usual radiative decay
mechanism and autoionization. For most states, the auto-
ionization rate, A,, is of the order of 10 - 10 s~ and,
therefore, many orders of magnitude greater than the radiative
decay rate, A r Since the lifetime, T, is given by
\ ' Aa + Ar,
the dominant process is autoionization. However, for a few
states, the probability for autoionization is very low and in
such cases, radiative emission is the dominant decay mechanism.
Theoretical lifetime evaluations can be made directly
for the dominant decay process(es) involved, however, the
autoicnization decay rate can also be obtained from the width
of the e + He scattering resonance for the state concerned.
Most of the theoretical aucoionization rates in this compila-
tion were obtained from indirect results of this type.
There are five experimental techniques which have been
used to obtain information useful in the evaluation of
lifetimes. The energy analysis of electrons ejected from He
atoms excited by electron impact is the most frequently
employed technique. From the apparent widths of the resonances
in the energy spectrum, the true autoionization widths, fa ,
-ME-B-1-
ME-B Lifetimes of Multiply-Excited States
of Helium Atom
-
can be obtained by deconvolution. The values of A for aa
given state can be calculated using the relation
This technique is limited to the determination of A and,
due to instrumental resolution, to states with rather short
lifetimes. The energy analysis of electrons which have
undergone inelastic collisions with He atoms and lost kinetic
energy also gives a spectrum with resonances. After decon-
volution, the width, f, of a resonance gives, in principle,
the sum of the decay rates for both processes or, equivalently,
the lifetime, thus
T = h/2irr . '
In reality, however, the instrumental reaolution in such '
experiments is too small to measure radiative decay widths >
and, thus, this metMd is applicable only to the deuermina- ,
tion of the usual autoionization decay rates. Measurements
of the photoabsorption of He with photons of energy in the
vicinity of the resonances give analogous results, however,t
the instrumental resolution is far superior and permits
measurements including the radiative-decay contribution.
However, this method is limited by selectirn rules to excita-
tion of the 1P states. Measurements of the in-flight '
emission intenrity of a foil-excited beam as a function of >
the distance from the foil gives directly the lifetime of )
the excited state for all decay processes. This technique i
is, however, limited to states with lifetimes of the order
of about 10~ s or greater. However, by analyzing the
linewidth of the light emitted by a state in a foil-
-ME-B-2- J
can be obtained by de~onv01ution. The va1ues of A for 3 a
given state can be ca1cu1ated using the relation
Aa = 2宵ra/h
This technique is 1imited to t.he deterrnination of Aa and,
due to instrurn~nta1 res01ution, to states with rather short
1ifetimes. The en円rgyana1ysis of e1ectrons which have
undergone ine1astic c011isions with He atoms and 10st kinetic
energy also gives a spectrum W.l.th resonances. After decon-
volution, the width, r, of a resonance gives, in p~incip1e ,
the sum of the decay rdtes for buth proce~scß or, equivalent1y,
the 1ifetime, thus
T = h/2甘T
工nreality, however, the instru~enta1 res01ution in such
experiments i5 too sma11 to measure radia~ive decay widths
and, thus, this mett可d is apρ1icable cn1y to the de~e~mina-
tion of the usua1 autoionization decay rates. Measurements
of tne photoabsorption of He with photons of energy in the
vicini ty of the resonances g:i.ve ana10go:
-
excited beam, it is possible to extend this limit by 3 tc 4
orders of magnitude. The natural linewidth of a transition
is given by
r = (7 + i )/2*cTl T2
where T 1 and x2 are the lifetimes of the upper and lower
states. Thus it can be seen that once the lifetime of
either state is known from an independent determination,
the linewidth gives the lifetime of the other state. How-
ever, the high-velocity beams are strongly Doppler-broadened
and this, in practice, limits the technique to states with—12
lifetimes of about 10 s or Ie3s. It must also be noted
that the foil-excited beam techniques are limited to states
with substantial radiative decay rates, since a sufficient
photon current is required for the measurements.
To aid in the rapid identification of the states, the
various designations employed for the states are given in
ME-B-Table I along with representative values of the
energies of the state-3. While this list contains the most
important theoretical and experimental determinations of
the energy levels, it is not intended to be exhaustive, but
only to aid the reader in identifying an experimentally
observed state or a state quoted in an unfamiliar notation.
The states are ordered first according to L-value, i.e.,
S,P,D, etc., then for states with the same L-value according
to multiplicity, i.e., singlet and triplet, and finally,
for states with the same L-value and multiplicity according
to energy beginning with the lowest energy states.
-ME-B-3-
excited beam, it is possib1e to ext.end this 1imit by 1 tc 4
orders of magnitude. The natura1 linewidth of a transition
C
宵"
内
4Ir } 司4
1-τ +
噌
4
1
一τ{ =
y
r
b
n
e
v
--q
s
・1
where τ1 and τ2 are the 1ifetimes of the upper and 10wer
states. Thus it can be seen that once the 1ifetime of
either state is known from an independent d~termination ,
the 1inewidth gives the 1ifetime of the other state. How-
ever, the high-ve10city beams are strong1y Dopp1er-broadened
and this, in practice, 1imits the te~hnique to state8 with -12 1ifetimes of about 10-~.s or 1e3s. It must a180 be noted
that the foi1-excited beam techniques are 1imited to states
with substantia1 radiative decay rates, since a sufficient
photon current is required for the measurements.
To aid in the rapid identification of the states, the
various designations emp10yed foど thestates are given in
ME-B-Table I a10ng with representative va1ues of the
energies of the stateョWhi1ethis 1ist contains the most
important theoretica1 and experimenta1 determinations of
the energy 1eve1s, it is not intended to be exhaustive, but
on1y to aid the reader in identifying an experimenta11y
observed state or a state quoted in an unfami1iar notation.
The states are ordered first according to L-va1ue, i.e.,
S,P,D, 主主主・, then for states with the same L-va11Je according
to multiplicity,主主, sing1et and trip1et, and fina11y,
for states with the same L-va1ue and mu1tip1icity according
to energy beginning with the 10west energy states.
-ME-B-3-
-
)
In ME-B-Table II, the states are arranged in this same
order. For each state, all available significant determina-
tions of the lifetime and/or relevant decay rates are given, '
along with the type of determination, the method of determina-
tion and the reference from which the information was taken. '
Due to the great importance of configuration mixing and the i
universal character of the notation of Herrick and Sinanoglu (
(1975) [See also Sinanog'lu and Herrick (1975)], this notation
was used as the basis for designating the states given in
the table. Tr. this notation, a state is unambiguouslyi
designated by
N (K, T ) n 2 S + 1L*
where N and n are the principal quantum number of the '
electron with lower energy and that of the electron with '
higher energy, respectively, 2S + 1 is the multiplicity, >
L is the angular momentum quantum number and IT is the i
parity, designated either as odd (o) or even (e). K and ]
T are new quantum numbers such that T = 0, 1, ..., L andi
± K = N - T - l , N - T - 3 , . . . , O o r l . Also if ir = (-1)L+1
Ithen T>0. Therefore, for the singly-excited two-electron
states N = 1 and K = T = 0, and for the N = 2 singly-
excited states K = 0 and T = 1 or K = ±1 and T = 0, etc. '
In view of the fact that most references designate the *
r = 2 states in the hydrogen-like notation, this designation i
has been included for these rnd a few N = 3 states. In this )
notation, the P states 2nsp± designate states in which the v
principal configurations are 2snp ± 2pns. Other occasionally
encountered notations are included for those states for)
-ME-B-4-
工nME-B田 Table11, the states are arranged in this same
order. For each state, a11 avai1ab1e significant determina-
tions of the 1ifetime and/or re1evant decay rates are given,
a10ng with the type of determination, the method of determina-
tion and the reference from which the information was taken.
Due to the g:eat importance of configuration mixing and the
universa1 character of the nc'tation of Herrick and Sinanog1u
(1975) [See a1so Sinanoc;'11u and Herrick (1975) 1, this notation
was used as the basis for designating the states given in
the tab1e. 1n this notation, a state 1s unambiguously
designated by
2S+l甘N (K, T)n --'-L
where N and n are the principa1 quantum number of the
e1ectron with 10wer energy and that of the e1ectron with
higher energy, respective1y, 2S + 1 is the mu1tip1icity,
L is the angu1ar momentum quantum numb:r and n is the
parity, designated either as odd (0) or even (e). K and
T are new quan七umnumbers such that T 0, 1, ..., L and L+1
:tK = N 田 T-1, N -T -3,..., 0 or 1. A1so if甘= (-1)
then T>O. Therefore, Zor七hesing1y-excited two-electron
states N = 1 and K T 0, and for七heN 2 sing1y-
excited states K = 0 and T = 1 or K = :t1 and T = 0, etc.
工nview of the fac七 tha七 mos七 referencesdesignate the
ド =2 s七atesin七hehydrogen-1ike nota七ion; 七hisdesignatio'1
has been inc1uded for七heseend a few N = 3 s七ates. 1n七his
notation, the P s七ates2nsp:t designate states in which七he
principa1 configura七ionsare 2snp士 2pns. Other occasiona11y
encoun七eredno七a七ionsare inc1uded ror those states for
-ME.B-4-
-
which they have been cited. Notable among these is the designa-
tion for N = 3 lSe states of Ormonde et al.(1967) in which
3n+ and 3nn,± denote states for which the principal configura-
tions are 3sns + 3pnp and 3sns - 3pnp ± 3dnd, respectively.
The type or determination is either theoretical (T) or
experimental (E).
All experimental determinations are included, but the
following categories of theoretical exterminations are not
included in the table: (1) results based on estimates in
cases waare a substantial number of accurate and precise
determinations are available, (2) results based on simplifica-
tions of procedure and calculation for the purpose of reducing
the required computation at the expense of accuracy and
(3) results based on purely hydrogen-like calculations in
cases where configuration mixing is known no substantially
change the character of the state from the hydrogen-like
nature, especially when such results wsre published after the
appearance of the paper of Cooper et al. (1963) in which this
problem was clearly presented. Many results of Zemtsov (1974)
fall in category (3) and are, therefore not included.
The order of the results cited for a given state is
(1) theoretical autoionization rates arranged in chronological
order, (2) experimental autoionization and experimental
total decay rates arranged in chronological order, and
(3) theoretical followed by experimental radiative decay rates,
arranged by state beginning with the state with lowest
energy. The only deviation from this order occurs in two
cases in which the theoretical radiative decay rates are given
-ME-B-5-
which they have been cited. Notab1e among these is the designa-
~ion for N = 3 ISe states of Ormonde et a1.(1967) in which
3n+ and 3nnd士 denotestates for which the principa1 configura申
tions are 3sns + 3pnp and 3sns -3pnp t 3dnd, respective1y.
The type or determination is either theoretica1 (T) or
experirnenta1 (E).
A11 experirnenta1 determinations are inc1uded, but the
f0110wing catogories of theoretica1 ~eterminations are not
inc1uded ill ths tab1e: (1) resu1ts based on estirnates in
cases ~here a substantia1 number of accurate and precise
determinations are avai1ab1e, (2) reau工とsbased on airnp1ifica-
tions of procedure and calcu1ation for the purpose of reducing
the required cornputation at the ~~pense of accuracy and
(3) resu1ts based on pure1y hydrogen-1ike ca1cu1ations in
cases where configuration rnixing is known ~o substantia11y
change the character of the state frorn the hydroq~n-1ike
nature, especia11y when such resu1ts w~re pub1ished after the
appearance of the paper of Cooper主主主主・ (1963) in which this
prob1em was c1ear1y presented. Many resu1ts of Zemtsov (1974)
fa11 in category (3) ana are, therefore not inc1uded.
The order of the resu1ts cited for a given state is
(1) t.heoretica1 autoi、nizationrates arranged in chron01oqica1 order, (2) experimenta1 autoionization and experimenta1
tota1 decay rates arranged in chron01ogical order, and
(3) theor.etica1 fo11owed by experimenta1 radiative decay rate&
arranged by state beginning with the state with 10west
~nergy. The on1y deviation from this order occurs in two
cases in which the theoretical radiative decay rates are given
-ME・8・5-
-
before the experimental total decay rates, since in these cases
the autoionization rates are negligible in comparison with the
radiative decay rates. The lifetimes are given for each
theoretical autoionization decay rate, as well as each experimen-
tal decay rate, entry except in the cases of states for which
the only theoretical values are for the radiative decay rates.
In such cases, the lifetimes given are based on the sums of
the individual radiative decay rates taken from a given reference.
In case the autoionization decay rate is dominant and the cal-
culated radiative decay rates account for less than a few percent
of the total decay rate, the theoretical radiative decay rates
are given only for reference. In case the autoionization decay
rate is not dominant, the lifetimes given for the autoionization
decay rate entries are based on the sum of that autoionization
decay rate and the best theoretical radiative decay rate sum
available. This situation is explained fully in the footnote
corresponding to each case. When the experimental decay rate
represents the total decay rate, the data is listed across
both the autoionization and radiative decay rate columns. In
cases where the autoionization decay rate is known to exceed
the sum of the main contributions to the radiative decay rate
by a factor of 10 , "Negligible" is entered in the radiative
decay rate column. This is also done when the autoionization
12 -1decay rate is greater than 10 s , since the maximum possible
total radiative decay rate for any of these states is about
1010 s"1.
The lifetimes are given in units of ns (10 s), ps (10~12 s)
and fs (10~ s). Cases in which the theoretical lifetime
-ME-B-6-
before the experimenta1 tota1 decay rates, since in these cases
the autoionization rates are neg1igib1e in comparison with the
radiative decay rates. The 1ifetimes are given for each
theoretica1 autoionization decay rate, as we11 as each experimen-
ta1 decay rate, entry except in the cases of states for which
the on1y theoretica1 va1ues are for the radiative decay [-ates.
工nsuch cases, the 1ifetimas given are based on the sums of
the individua1 radiative decay rates taken from a given reference.
工ncase the autoionization decay rate is dominant and the ca1-
cu1ated radiative decay rates account for less than a few percent
of the tota1 decay rate, the theoretica1 radiative decay rates
are given on1y for reference. 工ncase the autoionization decay
rate is not dominant, the 1ifetimes given for the autoioniza~ion
decay rate entries are based on the sum of that autoionization
decay rate and the best theoretica1 radiative decay rate sum
avai1able. This situation is exp1ained fu11y in the footnote
corresponding to each case. When the experimenta1 decay rate
represents the tota1 decay rate, the data is 1isted across
both the autoionization and radiative decay rate co1umns. 工n
cases where the autojonization decay rate is known to exceed
the sum of the main contributions to the radiative decay rate
2 by a factor of 10., "Neg1igib1e" is entered in the radiative
decay rate co1umn. This i~ a1so done when the autoionization
12 -1 decay rate is greater than 10--s -, since the maximum possib1e
tota1 radiative decay rate for any of these states is about
10 -1 10-V s
-9 _, __ ..~-12 The 1ifetimes are given in units of ns (10-~ s), ps (10-~' sl -15 and fs (10-~~ s). Cases in which the theoretica1 1ifetime
-ME-B-6-
-
given may not include all important decay contributions are
explained in footnotss.
Throughout, the factor by which the resonance width in
eV has been divided to convert it to the decay rate in s is
6.58218 x io"16. Also 1 eV has been taken to be 8065.465 cm"1.
The results are displayed in an arrangement which will
allow the reader to compare and evaluate the results, both
theoretical and experimental, that have been obtained to date.
Although the reliability of the theoretical results is
difficult to judge when no experimental results are available,
the following suggestions should be of help to the reader in
judging the reliability of the lifetimes of states for which
only one or two results are available. Autoionization decay
results obtained by the close-coupling methods (except for
extrapolations), by the projection-operator methods, by the
configuration-interaction methods and by the quantum-defect
method are generally more reliable than the result of other
methods, although there are also occasional large disagreements
among results employing these methods. The perturbation
methods, the method of extrapolation from close-coupling
results and the configuration-overlap method of Zemtsov (1974)
appear to be particularly unreliable. All the radiative decay
results appear to be very reliable, rarely differing by as
much as a factor of 2.
March 1, 1977 W. Shearer-Izurai
-ME-B-7-
given may not include all .;.mportant decay cQntributions are
explained in footnot~s.
Throughout, the factor by which the resonance width in
eV has been divided to convert it to the decay rate in s is
-16 -1 6.58218 x 10 • A1so 1 eV has been taken to be 8065.465 ~m
The resu1ts are disp1ayed in an arrangement which wi11
a110w the reader to compare and eva1uate the resu1ts, both
theoretical and experimental, that have been obtained to date.
A1though the reliability of the theoretical resu1ts is
difficult to judge when no experimental resu1ts are dvailable,
the following suggestions should be of help to the reader in
judging the reliability of the lifetimes of states for which
only one or two results are available. Autoionization decay
results obtained by the close-coupling methods (except for
extrapolations), by the projection-operator methods, by the
configuration-interaction methods and by the quantum-defect
method are generally more reliable than the result of other
methods, although there are also occasional 1arge disagreements
among results employing these methods. The perturbation
methods, the method of extrapo1ation from c1ose-coup1ing
resu1ts and the configuration-over1ap method of Zemtsov (1974)
appear to be particu1ar1y unre1iab1e. A11 the radiative decay
resu1ts appear to be very re1iab1e, rare1y differing by as
much as a factor of 2.
March 1, 1977 w. Shearer-Izumi
-ME・8・7--
-
ME-B-Table I. The doubly-excited states of H appearing in ME-B-Table II and representative
energies for these states taken fron the references cited. All energies are
expressed with respect to the He Is 5 ground-state energy.
I
m
do
2(1,
2(-l
2(1,
2(-l
2(1,
2(-l
2(1,
2(-l
2(1,
2(1,
2(1,
2(1,
3(2,
3(0,
3(2,
3(0,
3(-2
3(2,
3(0,
3(2,
-.M
))
,0).
o)3,0)
o)4Q J
3)
,0)
°>6
018
o>3
°»3o)40)4,0)
01 50) 5
0)6
STATE
! S
se
), S1se
1, S
. 1 s e
se
V1s*
V1sexse
V3 l!>e
se1se1se
Hydrogen-like
2. 2
2P2
2s3s
2p3p
2S4S
2p4p
2s5s
2p5p
2s6s
2p6p
2s8*
2S9S
33+
3 3 3d34+
344fl
3 3 3d
35+
3 5 5d36+
lsXs
XsXs*s
hhh1.s
hlsxs
h- hh- xs+ 1s
h- hh
Rudd(1964)(1965)
57.82
62.15
62.95
64.22
64.22
64.71
Odeet
lal.
(1977)
57
62
62
64
64
64
84
08
94
12
12
70
Bordenave-Montesquieu(1971)(1973)
57.85
62.14
62.96
64.25
Hicks,Comer(1975)
57.82
62.06
62.94
64.18
64.67
ENERGY (eV)
Gelbartet al.(1976)
57.78
62.10
O'Malley,Geltaan(1965)
57.824
62.154
62.952
64.033
64.307
Burke,Mcvicar(1965)
57.8649
62.8082
63.0088
64.1822
64.2162
64.6792
64.6976
Bhatiaet al.(1967)
57
62
62
64
64
64
64
65
65
.8171
.062{
.9529
.0915
.181E
.6494
.6845
.080€
.3929
•mondeet al.(1967) -
69. 390
70.391
71.389
71.887
72.058
72.306
72.386
Burke,Taylor(1966)(1969)
57.842
62.134
62.975
69.397
70.41
71.39
71.92
72.06
72.23
Holbein,Hidtdal(1970)(1971)
57
62
62
64
64
69
70
71
72
72
72
874
131
994
190
505
449
.538
.446
.003
.376
.059
Oberoi(1972)
69
70
71
71
72
72
72
72
.362
.405
.349
.850
.002
.039
.304
.372
Bhatia,Teiakin(1975)
57.8435
62.0911
62.9624
64.1010
Herrick,Sinanoglu(1973)(1975)
57.
62
63.
64.
64
64
64
64
64
69
7u
71
71
72
72
72
72
92
78
05
18
23
68
70
96
99
38
47
39
90
23
07
.32
.39
The doubly-e~cited state9 of H appearinq in KE-B-Table n and representative
enerqies for these states taken fra圃 thereferences cited. All enerqies are 2 1
expre5sed with respect to the He Is' .5 qrour泊-.tateenerqy.
ME-B-Table 1.
5TATE ENERGY (eV)
Hydroqen- Rudd Oda Bordenave- Hicks, ! Gelbart 0・陶lley,I Burke, Bhatia 防酎凶e Burke, 801画ein,Oberoi Bhatia, Herrick, C.M.
like (1964) et a1. Montesc;uieu Co個er let a1. Gel l:J1an 凹cVic~ et a1. 関与
Taylor Midtdal (1972】 TeJlkin 5inano哲lu(1965) U977) U971l (1975) (1976) (1965) 1(1965) (1967) (1966) (1970) (1975) (1973)
(1973) (1969) (1971) (1975)
2(1,0)215e 282 15 57.自主 57.日4 57.85 57.82 57.78 57.824 57.8649 57.817 57.842 57.874 57.8435 57.92
2(・1,0321se2p2 Is 62.15 62.08 62.14 62.06 1:.2.10 1:.2.154 1:.2.8082 1:.2.062E 62.134 62.131 62.0911 1:.2.78 1_8
253・15 62.95 62.952雪主(1,0)3 -5 62.94 62.96 62.94 62.952 63.0088 62.975 62.9624 63.05 2(・1,o}31se2p3p 15 64.22 64.12 64.033 64.1822 64.0915 64.190 64.1010 64.18 2(1,0】41se 2・41115 64.22 64.12 64.25 64.18 64.307 64.211>2 64.18H 64.505 64.23 2(-1,0;4.1S8 2p4p 15 64.6792 64.64雪4 64.68
1 令2,,5・15 64.71 2(1,0)5 -l. 64.67 64.6976 64.684 64.70
21・1,0】51se2p5p 15 65.08OE 64.96 Ce
z・6・15 65.392! 2(1,0】6 5 64.99 2(・1,o}6lB e 2p6p 15
2t1,r}71se 2s7" 15
1__ 2.8・152(1,0】8 ~5
2{l,o}9'se 2・9・153(2,0)3 15
B 33,ト 15 69.390 69.397 69.449 69.362 69.38
3{o,o}31se 333d:-
15 70.391 70.41 70.538 70.405 7
-
m
CM.
4(3,0)4
4(1,0>4
4(3,0)5
4(-l,O)4
4(1,0)5
4(3,0)6
41-1,0),.
4(l,0)6"
2(l,O)3
2(-l,0)1
2(1,0)4
2(-l,O)4
2(1,0)5
2(-1.0),
2(1,0)/
2(-l,0)
2(1,0)?
2(l,0)8
2(1.0).93(2,0)4
3(0,0)
3(2,0)5
3(0,0)5
STATE
1se1se1se1se
1se1se1se
V3ses
se
s
se
V3se
3se
V
V3seVV
Hydrogen-like
2«3s
2p3p
2s4s
2p4p
2«5a
2p5p
2s6s
2p6p
2«7s
2l8s
2s9s
3S3S3s3s3s3s3s3s3S3s3s
Burke,McVicar(1964b)
64.7125
64.7728
64.9396
64.9741
0'Mailey.Geltman(1965)
62.609
63.751
63.941
64.554
64.669
Burke,McVicar(1965)
62.o205
63.8222
64.0763
64.5336
64.6305
Burke, Taylor(1966)
62.615
ENERGY
Bhacia et al.(1967)
62
63
64
64
64
64
6109
7766
0736
5181
6317
8921
(eV)
Hol^ien,Midtdal(1971)
73.643
74.062
74.639
75.360
Oberoi(1972)
73.191
73.912
74.508
74.544
74.7,3
74.914
75.037
75.072
71.189
71.651
71.984
72.205
Bhatia , Temkin(1975)
62.
63.
64.
64.
6173
7831
0803
5247
Herrick,(1973)
73
73
74
74
74
74
75
75
62
63
64
64
64
64
64
65
71
71
71
72
Sinanoglu(1975)
52
92
52
54
77
92
04
08
63
82
08
53
64
.85
.92
.23
.20
.67
.99
.23
STA'l'E
e
OGt
r}-
'ab一
eC4-
ki6-
rV9一
uclw
BM{-
n
e
句re
d
k
y--"H,
•. 開F-w
ー宰
m白φ1
ιuauauauav
l
EJOOEO-A
q,.弓d
n
ヲ
au唱
唱ム司,
-S
司,
守,句,nヲ
nヲ
a----
組
MTa噌
a.,a-
auauauau
qMedeaCAECA-CGCAECA-geese-
's
,S噌
S's-s-s's-s-s-s-s
-
p
・p
・p
・ps
s
g
宮
s-sau'au'E3E3E
。ro
『,aonヲ
・p・p・PS
F
-
・・
4444444444
勾
4
句
444一弓
4
句
4
勾
'e
e
e
e
e
e
e
e
s
e
e
s
-
e
s
e
s
e
s
・4s
e
-
-
e
e
-
-
S
S
S
1
s
s
l
s
S
3
S
3
S
3
S
3
s
s
s
s
s
S
4
5
噌
A'A'A
・A
・A-
A
-
s
-
s
'
s
-
s
,S噌
S
胃
S's-s-s'saa
'
J
a
'
E
3
a司
a-Te
コ、,
EJzo
‘,
zo's
‘,
a-
曹、,
EJ
、,zo
‘,句,oonヲ
a
宅凋句E3EJ
、,、,、,内u
、,、,nv
、,、,nv
、,内u
、,内u
‘,nu
、,、,、,、,、,、,
h'
。。。,
oo'oo'o
,。,
o'O00000川町
'
'
A
'
'
A
,、A
'
'
A
'
'
'
'
'
'
'
3
1
3
・1
日
ト
l
l
・-
-
1
・11Y1112-nza
t
t
t
t
t
t
t
t
t
i
t
i
l
-
-
-
1
1
1
1
1
1
1
t
a-a噌
a-a-a-a-Ta-a・弓
4
弓
4
内
4
弓
4
令
4
弓
4
弓
4
弓
4
句
4
弓
4
弓
4-s-s-s-s
ENERGY (eV)
一一一一'Malley,1 Burke, IBurke, TaylorlBhaιia旦主主… ドーia,叫n…eltman I McVicar I (1966) (1961) I Midtdal (1911)! (1912) i (1915) (1973) (1915) 1965) I (1965)
13.643 73.191 73.52
74.062 73.912 73.92
74.639 74.508 74.52
75.360 74.544 74.54
74.7',3 74.77
74.914 74.92
75.037 75.04
75.072 75.08
2.&09 &2....205 &2.&15 62.&109 62.&173 62.&3
3.751 63.8222 63.7766 63.7831 63.82
3.941 64.0763 64.0736 64.0803 64.08
4.554 64.5336 64.5181 64.5247 64.53
4.669 64.6305 64.6317 64.64
64.8921 64.85
64.92
65.23
71.189 71.20
11.651 71.67
11.984 71.99
12.205 72.23
-
O
3(-2
3(2,
4(3,
4(1,
4(3,
4(-l
4(1,
2(0,
2(1,
2(0,
2(0,
2(1,
2
-
I
mCD
STATE !
CM.
2(0,1)6 V2(1,0)7 V2(-l,0)6
1P°2(O,l)7 V2(l,0)8 V2(-l,0)? V2(0,1)8 V2(1,0)9 h°2(-l,0)8 V2(0,l)9 V
2(l,0)10 V
2(-l,0)9 V2(0,l)10 V
3(1,1)3 V3(2,0)4
1P°
3(1,D4 V
3(-l,l)3 V3(1,1)4
1P°
3(O,O)4 V3(-l,l)4 V3(2,0) 1P°
1 p3(1,1)5 P3 ( - l , l ) 4 P°3(1,1)5 l p °
Hydrogen-like
26sp+ lP27sp- *P2p6d h
27sp+ H1
28sp- h
2p7d h28sp+ \298p- h
2p8d *P
29sp+ h210sp- *P2p9d \210sp+ h3s3; ^
|341> S>
34sp+ "V
|342> h
|351> S
35sp+ S>
ENERGY (eV)
Madden, Codling(1965)
64.999
65.108
65.180
65.228
65.262
69.946
71.664
72.206
Dhez, Ederer(1973)
69.919
Bely(1966)
65.00
65.05
65.06
65.11
65.14
65.15
65.18
65.20
65.20
65.23
65.24
65.24
65.26
Hol^ien, Midtdal(1972)
71.4256
71.9543
72.1218
Oberoi(1972)
69.874
71.225
71.31971.631
71.723
72.003
72.166
72.189
Chung(1972)
69.8697
71.2250
71.3116
71.6303
71.7288
72.0026
72,1723
72.1920
Herrick, Sina-noglu (1975.W
65.21
69.90
71.23
71.43
71.4671.67
71.7571.98
72.01
72.11
72.1972.21
73) C.M. Hydrogen- Madden, Codling Dhez, Ederer Be1y Ho1oien, Kidtda1 Oberoi Chung Herrick, Sina-
like (1965) (1973) (1966) (1972) (1972) (1972) nog1u (1975,19
,1) 6 ~po I 26sp+ :P 64.999 65.00 65.21 ,0); 1~0 I 27sp-. ~ 65.05 tO}1pO26dIP 'U'6. r I "p
1po '2780+ ¥. 65.108 65.11 ,1)7 :p- '278P+ ,o)81pO28sp-1p 65.14
1po I 207d ~ 65.15 L,O)7. -P-, 2p7d 1po I 2880+ ~ 65.180 65.18 ,1) 8 ~p- I 288P+
,o)91pO29sp-1p 65.20 l,o}81p02pBdIp 65.20
1po I 2980+ ~ 65.228 ,1)9 -~- '298P+ 65.23 1po I 21080- ~ 65.24 0)10 :p-I 2108P: 1po I 209d ~ L,O)9 :p~ I 2p9d 1po I 21080+ ~ 65.262 ,1)10. -p~ : 2108~ 65.26
1po '383, ~ 69.946 69.919 ,1)3 _pv '383, 69.874 69.8697 69.90 0), 1po 71.225 71.2250 71.23 '-'4
, 1)~ 1~e_11341:> ¥. 71.4256 71.43 L , Ú~ lpo
71.319 71.3116 71.46 '-'3 1po I 3480+ ~ ,1)4 ?~ '348P+ 71.664 71.631 71.6303 71.67
0), 1po 71. 723 71.7288 71. 75 '~'4
L, U 4. 1pe I 1342:>弘 71.9543 71.98 0). 'lpo
72.003 72.0026 72.01 '-'5
,1); l:e 11351:>弘 72.1218 72.11 L.U, 1po
72.166!72,1723 72.19
I ;;刈2刈,l)51pO358P+弘 72.206 72.21
ENERGY (eV) STATE rー
2(1
2(ー
2(0
2(1
2(-
2(0
2(0
2(1
2(-
2(0
2(1
2(-
2(0
3(1
3(2
3(1
3(-
3(1
3(0
3(-
3(2
3(1
3(・
3(1
lgm也・=ー
-
mCD
to
STATE
CM.
3(0,0)5 V
3(-2,0)4 V
3(2,0)6 1P°
3(-l,l)5 *Pe
3(-l,l)5 V
4(2,1)4 V
4(0,1)4 V
4(3,0). V
4(2,1)5 V
4(1,0)5 V
4(2,1)5 V
4(0,l)5 XP*
4(3,0)6 V
4(0,l)5 V
4(2,i;6 V
4(-l,0)5 V
4(2,1)6 V
5(3,1)5 V
5(1,1)5 V
2(1,0)2 V
2(0,1). V
2(1,0), V
2(0,1)3 JP°
Hydrogen-like
|352> XP
4s4p h
|451> XP
45sp+ \
|452> Xp
|461> XP
46sp+ *P
5s5p 1P
2»2p 3P
2 P2 3P
23sp+ \
23»p- -*P
ENERGY (eV)
Madden,Codling(1965)
73.761
74.645
75.002
Hicks,Comer(1975)
58.30
59.64s
63.07
Burke,McVicar(1965)
58.3599
63.1412
63.2757
Altick,toore(1965)
58.41
63.18
63.29
Lipsky,Russek(1966)
58. J8
63.12
63.25
Bely(1966)
63.14
63.24
Bhatia,Temkin(1969)
58.284
63.097
63.274
KnoxfRu-!ge(1970)
58.33
63.10
63.25
Drake,Dalgarno(1970)(1971)
58.308
59.6749
Norcross(1971)
58.356
63.13763.272
Hol lp 72 .4089 12. 3(ー1,1}51po 72. 4{2.1}41p048旬、 73・761 73.705 73. 4{o,I}41p。 74.216 74. 4{3.0}31po 74.413 74.
4(2,1); ~pe 11451> lp 74.5283 74. 4{1.0}51p。 74.626 74.
lpo 14580+ 1 74.642 74. 4(2,1)5 ~p- 1459P+ -p 174.645
4(0,1); ~pe /1452> lp 74.7706 74.877 74.
4(O , I)~ lpo 74.905 74. 4{2J61pe1461〉 1F 74.9842 74.
4(・I,O)5.1pO
74.957 74. Lo 1.. 1
74.995 品(2,1)6 ~pu 1469P+.-P 175.002 75. 5(3,1)5 lpo 1585P lp 75. 5(1,1); lp" 75.
3pD 12..20 3 2(1,0)2 ~pv 1282P.Jp 1 158.30 158.3599 58.41 158.J8 58.284 58.3] 58.308 58.356 58.3209 58. 2(0,1); ~pe 12p2 3p_ I 159.64~
5~.6749
2(1,0); ~pO 123・p+3I- 1 163・07 163・141263.18 163.12 63.14 63.097 63.10 63.137 63.1066 63. 2(0,1); 3po 123・p-3p 1 163.2757 63.29 163.25 63.24 63.274 63.25 63.272 ,63.2595 163.
ー豆町田・4Ml
、-'
-
I
mCD
STATE
CM.
2(0,1)3 V2(-l,0)3
3P°
2(l,0)4 V2(0,l)4
3P°
2(-l,0)4 V2(1,0)5 V2(0,l)5 V2(-l,0)5 V2(1,0)6 V2(0,1)6 V2(-l,0) V
2(1,0)7 V2(O,l)7
3P°
2(-l,0)7 V
2(1,0)8 V2(0,1)8 V2(-l,0)8 V
2(1,0)9 V2(0,I), V2(-l,O)9
3P°
2(l,0)10 V
3(2,0)3 V3(1,l)j V
Hydrogen-like
2p3p 3P
2p3d 3P
24sp+ 3P
24sp- 3P
2p4d 3P
25»p+ 3P
25sp- 3P
2p5d 3P
26sp+ 3P
26»p- 3P
2p6d 3P
27«p+ 3P
27sp- 3P
2p7d 3P
28«p+ 3P
28sp- 3P
2p8d 3P
29sp+ 3P
29«p- 3P
2p9d 3P
210«p+ 3P
I 331> 3P
Rudd
(1965)
64.22
64.71
Hicks,Comer(1975)
64.23
64.69
Burkeet al.(1964b)
64.5467
64.7064
64.7232
64.8523
64.9381
64.9461
Burke,McViuar(1965)
64.1211
64.2551
64.3336
64.6453
64.7119
64.Tz.43
Altlck,
loo re(1965)
64.12
64.28
64.34
Lipsky,
Russek(1966)
64.06
64.23
64.32
64.64
64.70
64.83
ENERGY (eV)
Bely
(1966)
64.09
64.25
64.33
64.63
64.71
64.75
64.90
64.94
64.96
65.05
65.07
65.09
65.14
65.15
65.16
65.20
65.21
65.22
65.24
65.25
CnOX,
Rudge(1969)
61.57*
64.09
64.25
64.33
64.64
64.73
64.76
Drake
(1972)
63.558
Norcross(1971)
64.117
64.252
64.330
Holrfien,Midtdal(1972)
70.0072
Oberoi(1972)
69.438
Chung(1972)
69.4354
Herrick,Slnanoglu(1975,1973)
64.12
64.27
64.34
64.65
64.72
64.76
64.92
65.01
65.05
69.46
69.86
noilu 5,1973)
STAτι ENERGY (eV)
Hydrogen-Rudd Hicks, Burke Burke, A1tick, L叶均 Knox, Drake Horcrossll|MH{Gi 1 161en,Obero1 Chung Herrn5io.c亘Ek9 1 , C.M. like (1965) Comer et al. McVi~ar Moore Russek 1(1966) Rudge (1971) IMidtdal 1 (1972) (1972) SlM
(1975) (1964b} (1965) (1965) (1966) (1969) (1 3p
70.0072 &9.86
lgm・回・4ωl
-
STATE
C M
3(0,0)3 V
3(-l,l)3 V
3(1,1)4 V
3(2,0)4 3P°
3(1,1)4 V
3(0,0)4 V
3(-l,D4 V
3(2,0)5 V
3(1,1)5 V
3(-l,l)4 V
3(1,1)5 Vs
3(-2,0)4 V
3(0,0)5 V
3(-l,l)5 V
3(2,0)6 3P°
3(-l,l)5 V
4(3,0)4 V