210

Reference 1, Eqs. (3)-(6) for various cross sections

related to the functions defined above.] In addition,
knowledge of Sinc( K) enables one to evaluate integrals
fy, and f» defined by Eqs. (18) and (19) of Reference3.
These integrals are required in the evaluation of the

total inelastic-scattering cross section.For the evalu-

ation of F(K) and Sip(K), accurate ground-state
wave functions for H_, He, and Li* computed by
Weiss” have been used. The Weiss wave functions
compare very favorably with more elaborate ones calTABLE 73.

Aromic Form Factor, IXcoHERENT SCATTERING

Function, And ELastic ELEcTRON ScatTTERING Factor oF
H-, CoMputTep From THE 39-TERM
Weiss Wave Function’

(Kao)? |

F(K)®

2Sine(K)
00
00
00
00
00
00
00
00
00

0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09

1.96127D
1.92450D
1.88951D
1.85616D
1.82432D
1.793888D
1.764721
1.736771)
1.70993D

0.10
0.20
0.30
0.40
0, 50
0.60
0.70
0.80
0.90

1.68413D 00
1.47071D 00
1.31270D 00
1.18901D 00
1.08852) 00
1.00465D 00
9, 33213D-01
8.71396D -01
8.17216D-01

§.24426D-01
§.10180D-01
9.950891) -01
1.12837) 600
1.231251) 00
1.31434D 00
1.383521) 00
1.44234D 00
1.483121) 00

1.00
2.00
3.00
4,00
5.00
6.00
7.00
8.00
9.00

7.69230D-01
4.76417D-01
3.04143D-01
2.50139D-01
1.95288D -01
1,.57109D-01
1. 29306 D -01
1. 08359D -01
9.214841 -02

1.53743D
1.787251)
1.88564D
1.93209D
1.95662D
1.97067D
1.97922D
1.98469D)
1.98883D

00
00
00
00
00
00
00
00
00

2.30770D-01
2.617921)-01
2.21952D-01
1.87465D -61
1.60942D -01
1.40482D-01
1, 24885D-01
1.114551D-01
1.00872D-01

10.00
20.00
30.00
40.00
50.00
60.00
70.00
80.00
90,00
100,00

7.93263D-02
2.64176D-02
1. 25867D -02
7.00331D -03
4.20556D -08
2.60660D-03
1.60776D -03
9. 42350D -04
4.76910D -04
1. 38660D -04

1.99083D
1.99754D
1.99830D
1.99848D
1.99855D
1.99858D
1.998591)
1.998601)
1.99861D
1.99861D

00
00
00
00
00
00
00
00
00
00

9. 20674D -02
4.86791D-02
3, 291381)-02
2, 48249D -02
1.99159D -02
1.662321D-02
1.42627D -02
1. 24882D -02
1.11058D-02
9.998611 -03

|

7.183291)-02
1.37988D -01
1.99110D-01
2.557511D-01
3.083901D-01
3.57446 13-01
4.03279))-01
4.462071 -01
4.86508 1D -O1

[1 — F(K)I/ (Kay)?
—9.61272D
—4.62251D
—2.96504D
; —2.14040D
—1.64864D
—1.32314)D
—1.09246D
—9. 209651)
—7.888131)

01
01
01
01
01
01
01
00
00

—6.841321 00
— 2.353561) 00
—1.04234D 00
— 4.725291 -01
—1.77044))-01
—7.753001 -03
9.541031) -02
1.607551) -01
2.030941 -01

() See Eqs. (1)-(3) of text for definitions.
) FORTRAN notation is used, i.e., 1.38660D-04 =
1.38660 X 1074.

TABLE 74. Atomic Form Facror, INCOHERENT SCATTERING
FuncTion, and Exuastic ELEcTRON SCATTERING Factor
oF He, CoMPUTED FROM THE 53-TERM
Weiss Wave Funcrion®)

(Kay)?

F(K)®

25 ine(K)

[2 — F(K)j/ (Kap)?

0.0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09

2.0
1.99603D
1.99207D
1.98812D
1,98419D
1.98027D
1.976387D
1.97247D
1.96859D
1.96472D

00
00
00
00
00
00
00
00
00

0.0
7.50431 D-03
1.49676D-02
2, 23900 D-02
2.97721 D 02
3.71139D-02
4.44158D-02
5.16780D-02
5.890101) -02
6.60849 D-02

3.97826D-01
3.97161D-01
3.965031 -01
3.95847D-01
3.95193D-01
3.94540D-01
3.93889D -O1
3.93240D -01
3,92594D-01
3.91949D-01

0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90

1.96087D
1.92800D
1.88634D
1.85084D
1.81643D
1.78308D
1.75074D
1.719387D
1.688921

00
00
00
00
00
00
00
00
00

7. 32300D -02
1,42608D-01
2.08396 D -01
2. 70835D -01
3, 30146) -01
3.86534D -01
4,40184D-01
4,91272D -01
5.399551 -01

3.91306 D-01
3.84986 D-01
3.78857 1D -O1
3.72909D -01
3.67136D-01
3,.61530D -01
3.56084D -01
3.507921 -01
3.45647D -01

1.0
2.0
3.0
4.0
5.0
6.0
7.0
8.0
9.0

1.65936D 00
1.40544D 00
1.20998D 00
1.05359D 00
9.31046 D-O1
8. 28811D-01
7.43639D-01
6.71777 D-O1
6.10480D -01

0.80383D-01
9.52267D-01 -|
1.19565D 00
1.36569D 00
1.48910D 00
1.58143D 00
1.65222D 00
1.707601) 00
1.75165D 00

3.40643D -01
2.972781D-01
2.63340D-01
2.36103D -01
2,13791D-01
1.95198D -01
1.79480D-01
1.66028])-01
1.54391D-01

10.0
20.0
30.0
40.0
50.0
60.0
70.0
80.0
90.0
100.0

5.57690D-01
2.74195D-O1
1,65370D -01
1.11224D-01
8.01375D -02
6.05662D -02
4.741921 -02
3.81503D -02
3. 13653D-02
2.62469D-02

1.78721D
1.93738D
1.97403D
1.986961)
1.99258D
1.99539D
1.996938D
1.997851)
1.99843D
1.998821

1,44231D-01
8.62902D -02
6.11543D-02
4,72194D -02
3.83973 D-02
3. 23239D-02
2.78940D-02
2.452311) -02
2.187371 -02
1.97375D -02

00
00
00
00
00
00
00 -|
00
00
00

®) See Eqs. (1)-(3) of text for definitions.
(>) FORTRAN
2.62469
107%.

notation

is

used,

i.e.,

2.62409) -02

=

culated by Pekeris®” in terms of the total energies, as
well as some other expectation values (Table 72).
In Tables 73, 74, and 75, we present F(K), Sinc(K),
and f(A} computed from the Weiss wave functions
for H’, He, and Li*, respectively. Numerical data in

Tables 73-75 are given to six significant figures to allow

for reliable interpolation. The values of the integrals J;

and J, wre given in Table 76.

Select target paragraph3