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

"0 c

oO

n.

iO

°

°O

to "

6 o

T>

Tj t

o

**j

*-j

*»j

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

_»

_ _

. 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