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SUPPLEMENTAL MATERIAL FOR: Rovibrational levels of HD

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SUPPLEMENTAL MATERIAL FOR:

Rovibrational levels of HD

Krzysztof Pachucki

1, ∗

and Jacek Komasa

2, † 1

Institute of Theoretical Physics, University of Warsaw, Ho˙za 69, 00-681 Warsaw, Poland

2

Faculty of Chemistry, A. Mickiewicz University, Grunwaldzka 6, 60-780 Pozna´n, Poland

(Dated: June 15, 2010)

The following tables collect components of the dissociation energy for all rovibrational levels of HD. The abreviations used

within the table:

BO – the Born-Oppenheimer component

AD – the adiabatic correction

NA – the nonadiabatic correction

α

2

– the relativistic correction of the order α

2

α

3

– the QED correction of the order α

3

α

4

– the QED correction of the order α

4

Total – the total dissociation energy, D

0

δ – the uncertainty assigned to D

0

Electronic address: krp@fuw.edu.pl

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T

ABLE

I:

Components

of

dissociation

ener

g

y

of

HD

v \ J 0 1 2 3 4 5 6 7 8 9 1 0 11 12 0 BO 36 40 1 .93 32 3 63 12 .66 26 3 613 4 .73 64 3 586 9 .37 00 3 55 18 .35 06 3 508 3 .99 65 3 456 9 .10 58 3 39 76 .89 83 3 331 0 .95 19 3 257 5 .13 73 3 17 73 .55 25 3 09 10 .46 00 2 999 0 .22 84 0 AD 4 .25 09 4 .28 70 4 .35 87 4 .46 53 4 .60 56 4 .77 79 4 .98 05 5 .21 11 5 .46 76 5 .74 73 6 .04 77 6 .36 61 6 .69 98 0 N A .32 67 .33 45 .35 00 .37 31 .40 37 .44 14 .48 62 .53 76 .59 55 .65 94 .72 90 .80 40 .88 40 0 α 2 − .53 00 − .53 19 − .53 58 − .54 15 − .54 90 − .55 81 − .56 87 − .58 07 − .59 38 − .60 79 − .62 29 − .63 84 − .65 44 0 α 3 − .19 64 − .19 56 − .19 41 − .19 18 − .18 88 − .18 52 − .18 09 − .17 60 − .17 05 − .16 46 − .15 82 − .15 15 − .14 44 0 α 4 − .00 16 − .00 16 − .00 16 − .00 16 − .00 16 − .00 15 − .00 15 − .00 15 − .00 14 − .00 14 − .00 13 − .00 13 − .00 12 0 T otal 36 40 5 .78 28 3 63 16 .55 49 3 61 38 .71 36 3 587 3 .47 35 3 55 22 .62 05 3 50 88 .47 10 3 457 3 .82 14 3 39 81 .88 90 3 33 16 .24 92 3 258 0 .77 01 3 17 79 .54 67 3 09 16 .83 89 2 999 7 .01 21 0 δ .00 10 .00 10 .00 10 .00 10 .00 10 .00 10 .00 10 .00 10 .00 10 .00 10 .00 10 .00 11 .00 11 1 BO 32 76 8 .21 36 3 26 82 .80 29 3 25 12 .57 86 3 225 8 .72 06 3 19 22 .96 37 3 15 07 .55 69 3 101 5 .21 38 3 04 49 .05 53 2 98 12 .54 76 2 910 9 .43 90 2 83 43 .69 59 2 75 19 .44 27 2 664 0 .90 53 1 AD 5 .18 35 5 .21 64 5 .28 18 5 .37 89 5 .50 65 5 .66 32 5 .84 71 6 .05 62 6 .28 82 6 .54 07 6 .81 12 7 .09 69 7 .39 54 1 N A .95 54 .96 25 .97 64 .99 73 1 .02 49 1 .05 90 1 .09 94 1 .14 58 1 .19 80 1 .25 56 1 .31 85 1 .38 62 1 .45 85 1 α 2 − .55 09 − .55 27 − .55 63 − .56 16 − .56 85 − .57 69 − .58 67 − .59 77 − .60 98 − .62 27 − .63 64 − .65 05 − .66 51 1 α 3 − .17 78 − .17 70 − .17 56 − .17 34 − .17 06 − .16 71 − .16 30 − .15 84 − .15 33 − .14 77 − .14 16 − .13 53 − .12 86 1 α 4 − .00 15 − .00 15 − .00 15 − .00 14 − .00 14 − .00 14 − .00 14 − .00 13 − .00 13 − .00 12 − .00 12 − .00 11 − .00 11 1 T otal 32 77 3 .62 24 3 26 88 .25 05 3 25 18 .10 34 3 226 4 .36 04 3 19 28 .75 46 3 15 13 .53 37 3 102 1 .40 92 3 04 55 .49 98 2 98 19 .26 95 2 911 6 .46 37 2 83 51 .04 63 2 75 27 .13 89 2 664 8 .96 44 1 δ .00 12 .00 12 .00 12 .00 12 .00 12 .00 12 .00 12 .00 13 .00 13 .00 13 .00 13 .00 14 .00 14 2 BO 29 31 2 .12 46 2 92 30 .49 63 2 90 67 .81 97 2 882 5 .24 12 2 85 04 .44 52 2 81 07 .61 53 2 763 7 .38 48 2 70 96 .78 16 2 64 89 .16 69 2 581 8 .17 43 2 50 87 .64 79 2 43 01 .58 43 2 346 4 .07 82 2 AD 5 .98 00 6 .00 96 6 .06 85 6 .15 60 6 .27 08 6 .41 14 6 .57 63 6 .76 33 6 .97 02 7 .19 47 7 .43 43 7 .68 65 7 .94 87 2 N A 1 .53 06 1 .53 69 1 .54 95 1 .56 82 1 .59 30 1 .62 37 1 .66 00 1 .70 18 1 .74 87 1 .80 05 1 .85 71 1 .91 80 1 .98 31 2 α 2 − .56 77 − .56 94 − .57 27 − .57 75 − .58 39 − .59 16 − .60 06 − .61 06 − .62 16 − .63 34 − .64 57 − .65 85 − .67 16 2 α 3 − .16 03 − .15 96 − .15 82 − .15 61 − .15 35 − .15 02 − .14 63 − .14 19 − .13 71 − .13 18 − .12 61 − .12 01 − .11 38 2 α 4 − .00 13 − .00 13 − .00 13 − .00 13 − .00 13 − .00 13 − .00 12 − .00 12 − .00 12 − .00 11 − .00 11 − .00 10 − .00 10 2 T otal 29 31 8 .90 58 2 92 37 .31 25 2 90 74 .70 56 2 883 2 .23 04 2 85 11 .57 04 2 81 14 .90 74 2 764 4 .87 30 2 71 04 .49 29 2 64 97 .12 60 2 582 6 .40 33 2 50 96 .16 64 2 43 10 .40 92 2 347 3 .22 37 2 δ .00 15 .00 15 .00 15 .00 15 .00 15 .00 16 .00 16 .00 16 .00 16 .00 17 .00 17 .00 17 .00 18 3 BO 26 03 0 .18 61 2 59 52 .28 25 2 57 97 .03 93 2 556 5 .57 08 2 52 59 .51 40 2 48 80 .99 06 2 443 2 .55 89 2 39 17 .15 90 2 33 38 .05 47 2 269 8 .77 33 2 20 03 .04 63 2 12 54 .75 35 2 045 7 .87 12 3 AD 6 .63 68 6 .66 31 6 .71 54 6 .79 28 6 .89 44 7 .01 86 7 .16 37 7 .32 78 7 .50 88 7 .70 44 7 .91 21 8 .12 93 8 .35 37 3 N A 2 .05 50 2 .06 07 2 .07 19 2 .08 87 2 .11 09 2 .13 84 2 .17 09 2 .20 82 2 .25 02 2 .29 65 2 .34 71 2 .40 15 2 .45 97 3 α 2 − .58 04 − .58 19 − .58 49 − .58 93 − .59 51 − .60 21 − .61 02 − .61 93 − .62 92 − .63 97 − .65 08 − .66 21 − .67 37 3 α 3 − .14 38 − .14 31 − .14 18 − .13 99 − .13 74 − .13 43 − .13 06 − .12 65 − .12 19 − .11 69 − .11 15 − .10 58 − .09 99 3 α 4 − .00 12 − .00 12 − .00 12 − .00 12 − .00 12 − .00 11 − .00 11 − .00 11 − .00 10 − .00 10 − .00 10 − .00 09 − .00 09 3 T otal 26 03 8 .15 25 2 59 60 .28 00 2 58 05 .09 87 2 557 3 .72 19 2 52 67 .78 56 2 48 89 .41 00 2 444 1 .15 15 2 39 25 .94 82 2 33 47 .06 16 2 270 8 .01 66 2 20 12 .54 22 2 12 64 .51 55 2 046 7 .91 02 3 δ .00 19 .00 19 .00 19 .00 19 .00 19 .00 19 .00 19 .00 20 .00 20 .00 20 .00 20 .00 21 .00 21 4 BO 22 91 9 .93 21 2 28 45 .71 70 2 26 97 .83 58 2 247 7 .37 26 2 21 85 .92 00 2 18 25 .54 20 2 139 8 .72 66 2 09 08 .33 34 2 03 57 .53 60 1 974 9 .76 48 1 90 88 .64 96 1 83 77 .96 59 1 762 1 .58 52 4 AD 7 .14 93 7 .17 22 7 .21 75 7 .28 46 7 .37 24 7 .47 95 7 .60 42 7 .74 46 7 .89 86 8 .06 40 8 .23 83 8 .41 91 8 .60 38 4 N A 2 .53 08 2 .53 58 2 .54 58 2 .56 07 2 .58 04 2 .60 47 2 .63 35 2 .66 66 2 .70 38 2 .74 48 2 .78 95 2 .83 76 2 .88 90 4 α 2 − .58 87 − .59 01 − .59 28 − .59 68 − .60 19 − .60 82 − .61 55 − .62 36 − .63 23 − .64 16 − .65 13 − .66 11 − .67 10 4 α 3 − .12 83 − .12 77 − .12 65 − .12 47 − .12 23 − .11 93 − .11 59 − .11 19 − .10 76 − .10 29 − .09 78 − .09 25 − .08 69 4 α 4 − .00 11 − .00 11 − .00 11 − .00 11 − .00 10 − .00 10 − .00 10 − .00 10 − .00 09 − .00 09 − .00 09 − .00 08 − .00 08 4 T otal 22 92 8 .89 40 2 28 54 .70 61 2 27 06 .87 88 2 248 6 .49 54 2 21 95 .14 76 2 18 34 .89 77 2 140 8 .23 20 2 09 18 .00 81 2 03 67 .39 75 1 975 9 .82 82 1 90 98 .92 75 1 83 88 .46 81 1 763 2 .31 92 4 δ .00 22 .00 22 .00 22 .00 22 .00 22 .00 22 .00 23 .00 23 .00 23 .00 23 .00 24 .00 24 .00 25 5 BO 19 97 9 .98 63 1 99 09 .44 75 1 97 68 .90 47 1 955 9 .41 40 1 92 82 .52 72 1 89 40 .25 48 1 853 5 .02 09 1 80 69 .61 13 1 75 47 .11 88 1 697 0 .88 75 1 63 44 .45 75 1 56 71 .51 43 1 495 5 .84 15 5 AD 7 .51 22 7 .53 14 7 .56 96 7 .62 59 7 .69 94 7 .78 86 7 .89 19 8 .00 75 8 .13 33 8 .26 70 8 .40 63 8 .54 88 8 .69 18 5 N A 2 .95 89 2 .96 33 2 .97 21 2 .98 51 3 .00 23 3 .02 35 3 .04 86 3 .07 74 3 .10 97 3 .14 53 3 .18 40 3 .22 56 3 .26 98 5 α 2 − .59 25 − .59 37 − .59 61 − .59 96 − .60 42 − .60 97 − .61 61 − .62 31 − .63 07 − .63 87 − .64 69 − .65 52 − .66 34 5 α 3 − .11 38 − .11 32 − .11 21 − .11 03 − .10 81 − .10 53 − .10 20 − .09 83 − .09 43 − .08 98 − .08 51 − .08 00 − .07 48 5 α 4 − .00 10 − .00 10 − .00 10 − .00 09 − .00 09 − .00 09 − .00 09 − .00 09 − .00 08 − .00 08 − .00 08 − .00 07 − .00 07 5 T otal 19 98 9 .75 01 1 99 19 .23 43 1 97 78 .73 72 1 956 9 .31 40 1 92 92 .51 56 1 89 50 .35 10 1 854 5 .24 24 1 80 79 .97 39 1 75 57 .63 61 1 698 1 .57 05 1 63 55 .31 51 1 56 82 .55 27 1 496 7 .06 43 5 δ .00 25 .00 25 .00 25 .00 25 .00 25 .00 26 .00 26 .00 26 .00 26 .00 27 .00 27 .00 27 .00 27

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T

ABLE

II:

Components

of

dissociation

ener

gy

of

HD

v \ J 0 1 2 3 4 5 6 7 8 9 1 0 11 12 6 BO 17 21 0 .17 06 1 71 43 .32 28 1 701 0 .14 90 1 681 1 .68 00 1 65 49 .43 06 1 622 5 .36 32 1 584 1 .84 46 1 54 01 .59 58 1 490 7 .63 92 1 436 3 .24 46 1 37 71 .87 78 1 31 37 .15 13 1 246 2 .78 10 6 AD 7 .71 96 7 .73 50 7 .76 57 7 .81 07 7 .86 92 7 .93 97 8 .02 07 8 .11 03 8 .20 65 8 .30 70 8 .40 96 8 .51 18 8 .61 10 6 N A 3 .33 90 3 .34 28 3 .35 02 3 .36 13 3 .37 59 3 .39 39 3 .41 51 3 .43 94 3 .46 65 3 .49 63 3 .52 84 3 .56 28 3 .59 91 6 α 2 − .59 15 − .59 25 − .59 46 − .59 77 − .60 16 − .60 63 − .61 17 − .61 76 − .62 40 − .63 05 − .63 72 − .64 38 − .65 01 6 α 3 − .10 02 − .09 96 − .09 85 − .09 69 − .09 48 − .09 22 − .08 91 − .08 56 − .08 18 − .07 76 − .07 31 − .06 84 − .06 35 6 α 4 − .00 09 − .00 09 − .00 09 − .00 08 − .00 08 − .00 08 − .00 08 − .00 08 − .00 07 − .00 07 − .00 07 − .00 06 − .00 06 6 T otal 17 22 0 .53 67 1 71 53 .70 75 1 70 20 .57 09 1 682 2 .15 67 1 65 59 .97 85 1 62 35 .99 75 1 585 2 .57 88 1 54 12 .44 15 1 49 18 .60 57 1 437 4 .33 90 1 37 83 .10 48 1 31 48 .51 31 1 247 4 .27 69 6 δ .00 28 .00 28 .00 28 .00 28 .00 28 .00 28 .00 29 .00 29 .00 29 .00 29 .00 29 .00 30 .00 30 7 BO 14 61 1 .65 45 1 45 48 .54 38 1 44 22 .83 30 1 423 5 .53 07 1 39 88 .11 88 1 36 82 .51 86 1 332 1 .04 79 1 29 06 .37 33 1 24 41 .45 93 1 192 9 .51 75 1 13 73 .95 73 1 07 78 .34 05 1 014 6 .34 08 7 AD 7 .76 60 7 .77 76 7 .80 03 7 .83 36 7 .87 64 7 .92 74 7 .98 50 8 .04 74 8 .11 26 8 .17 84 8 .24 26 8 .30 25 8 .35 57 7 N A 3 .66 88 3 .67 18 3 .67 78 3 .68 68 3 .69 85 3 .71 29 3 .72 97 3 .74 89 3 .77 01 3 .79 32 3 .81 78 3 .84 36 3 .87 04 7 α 2 − .58 53 − .58 62 − .58 79 − .59 04 − .59 37 − .59 75 − .60 19 − .60 66 − .61 16 − .61 66 − .62 16 − .62 63 − .63 06 7 α 3 − .08 74 − .08 69 − .08 58 − .08 43 − .08 23 − .07 98 − .07 70 − .07 37 − .07 01 − .06 62 − .06 20 − .05 76 − .05 30 7 α 4 − .00 08 − .00 08 − .00 08 − .00 07 − .00 07 − .00 07 − .00 07 − .00 07 − .00 06 − .00 06 − .00 06 − .00 05 − .00 05 7 T otal 14 62 2 .41 58 1 45 59 .31 94 1 44 33 .63 67 1 424 6 .37 56 1 39 99 .01 70 1 36 93 .48 08 1 333 2 .08 31 1 29 17 .48 86 1 24 52 .65 97 1 194 0 .80 57 1 13 85 .33 35 1 07 89 .80 22 1 015 7 .88 28 7 δ .00 31 .00 31 .00 31 .00 31 .00 31 .00 31 .00 31 .00 31 .00 31 .00 32 .00 32 .00 32 .00 32 8 BO 12 18 7 .15 76 1 21 27 .86 80 1 20 09 .78 98 1 183 3 .91 32 1 16 01 .69 35 1 13 15 .01 86 1 097 6 .16 79 1 05 87 .76 69 1 01 52 .73 89 967 4 .25 69 91 55 .69 84 86 00 .60 30 801 2 .63 75 8 AD 7 .64 72 7 .65 47 7 .66 93 7 .69 03 7 .71 68 7 .74 75 7 .78 08 7 .81 50 7 .84 80 7 .87 77 7 .90 19 7 .91 80 7 .92 34 8 N A 3 .94 34 3 .94 56 3 .94 99 3 .95 63 3 .96 46 3 .97 47 3 .98 63 3 .99 93 4 .01 33 4 .02 80 4 .04 31 4 .05 82 4 .07 28 8 α 2 − .57 34 − .57 41 − .57 54 − .57 74 − .57 99 − .58 28 − .58 60 − .58 94 − .59 29 − .59 62 − .59 93 − .60 19 − .60 39 8 α 3 − .07 54 − .07 49 − .07 40 − .07 25 − .07 06 − .06 83 − .06 57 − .06 26 − .05 92 − .05 56 − .05 17 − .04 76 − .04 34 8 α 4 − .00 07 − .00 07 − .00 07 − .00 07 − .00 06 − .00 06 − .00 06 − .00 06 − .00 05 − .00 05 − .00 05 − .00 05 − .00 04 8 T otal 12 19 8 .09 88 1 21 38 .81 86 1 20 20 .75 90 1 184 4 .90 92 1 16 12 .72 37 1 13 26 .08 90 1 098 7 .28 27 1 05 98 .92 85 1 01 63 .94 74 968 5 .51 03 91 66 .99 19 86 11 .92 92 802 3 .98 61 8 δ .00 33 .00 33 .00 33 .00 33 .00 33 .00 33 .00 33 .00 33 .00 33 .00 33 .00 33 .00 34 .00 34 9 BO 99 41 .22 22 98 85 .88 34 97 75 .69 99 961 1 .64 82 93 95 .16 49 91 28 .11 49 881 2 .75 33 84 51 .68 20 80 47 .80 48 760 4 .28 37 71 24 .49 69 66 12 .00 31 607 0 .51 18 9 AD 7 .36 14 7 .36 46 7 .37 08 7 .37 92 7 .38 90 7 .39 88 7 .40 72 7 .41 23 7 .41 23 7 .40 51 7 .38 82 7 .35 93 7 .31 58 9 N A 4 .15 43 4 .15 55 4 .15 77 4 .16 09 4 .16 49 4 .16 95 4 .17 44 4 .17 94 4 .18 40 4 .18 79 4 .19 04 4 .19 10 4 .18 90 9 α 2 − .55 51 − .55 56 − .55 65 − .55 79 − .55 95 − .56 14 − .56 34 − .56 53 − .56 71 − .56 86 − .56 95 − .56 97 − .56 90 9 α 3 − .06 42 − .06 38 − .06 29 − .06 15 − .05 98 − .05 76 − .05 51 − .05 23 − .04 92 − .04 58 − .04 22 − .03 84 − .03 45 9 α 4 − .00 06 − .00 06 − .00 06 − .00 06 − .00 05 − .00 05 − .00 05 − .00 05 − .00 05 − .00 04 − .00 04 − .00 04 − .00 04 9 T otal 99 52 .11 80 98 96 .78 36 97 86 .60 84 962 2 .56 84 94 06 .09 89 91 39 .06 36 882 3 .71 59 84 62 .65 56 80 58 .78 44 761 5 .26 18 71 35 .46 34 66 22 .94 49 608 1 .41 27 9 δ .00 34 .00 34 .00 34 .00 34 .00 34 .00 34 .00 35 .00 35 .00 35 .00 35 .00 35 .00 35 .00 35 10 BO 78 80 .57 72 78 29 .37 68 77 27 .46 62 757 5 .81 52 73 75 .85 18 71 29 .43 27 683 8 .80 75 65 06 .57 91 61 35 .66 29 572 9 .24 82 52 90 .76 27 48 23 .84 48 433 2 .32 38 10 AD 6 .91 08 6 .90 98 6 .90 75 6 .90 31 6 .89 60 6 .88 47 6 .86 78 6 .84 37 6 .81 03 6 .76 57 6 .70 75 6 .63 32 6 .54 01 10 N A 4 .28 83 4 .28 80 4 .28 74 4 .28 64 4 .28 46 4 .28 19 4 .27 79 4 .27 21 4 .26 39 4 .25 28 4 .23 78 4 .21 80 4 .19 23 10 α 2 − .52 97 − .53 00 − .53 04 − .53 11 − .53 18 − .53 25 − .53 31 − .53 34 − .53 32 − .53 25 − .53 09 − .52 83 − .52 44 10 α 3 − .05 38 − .05 34 − .05 25 − .05 13 − .04 96 − .04 77 − .04 53 − .04 27 − .03 98 − .03 67 − .03 34 − .03 00 − .02 64 10 α 4 − .00 05 − .00 05 − .00 05 − .00 05 − .00 05 − .00 05 − .00 04 − .00 04 − .00 04 − .00 04 − .00 03 − .00 03 − .00 03 10 T otal 78 91 .19 23 78 39 .99 08 77 38 .07 76 758 6 .42 19 73 86 .45 04 71 40 .01 86 684 9 .37 43 65 17 .11 83 61 46 .16 38 573 9 .69 71 53 01 .14 34 48 34 .13 75 434 2 .50 51 10 δ .00 35 .00 35 .00 35 .00 35 .00 35 .00 35 .00 35 .00 35 .00 35 .00 35 .00 35 .00 35 .00 35 11 BO 60 14 .63 10 59 67 .83 06 58 74 .72 11 573 6 .27 49 55 53 .92 61 53 29 .54 40 506 5 .40 04 47 64 .13 49 44 28 .72 09 406 2 .43 38 36 68 .82 70 32 51 .71 66 281 5 .18 16 11 AD 6 .30 35 6 .29 82 6 .28 75 6 .27 05 6 .24 66 6 .21 44 6 .17 25 6 .11 94 6 .05 30 5 .97 13 5 .87 19 5 .75 20 5 .60 87 11 N A 4 .32 51 4 .32 30 4 .31 85 4 .31 17 4 .30 20 4 .28 92 4 .27 26 4 .25 17 4 .22 55 4 .19 30 4 .15 30 4 .10 38 4 .04 35 11 α 2 − .49 62 − .49 62 − .49 61 − .49 60 − .49 56 − .49 50 − .49 39 − .49 22 − .48 98 − .48 64 − .48 18 − .47 57 − .46 79 11 α 3 − .04 41 − .04 37 − .04 29 − .04 17 − .04 02 − .03 84 − .03 63 − .03 39 − .03 12 − .02 84 − .02 54 − .02 23 − .01 91 11 α 4 − .00 04 − .00 04 − .00 04 − .00 04 − .00 04 − .00 04 − .00 04 − .00 03 − .00 03 − .00 03 − .00 03 − .00 02 − .00 02 11 T otal 60 24 .71 89 59 77 .91 15 58 84 .78 77 574 6 .31 89 55 63 .93 84 53 39 .51 38 507 5 .31 50 47 73 .97 95 44 38 .47 81 407 2 .08 31 36 78 .34 44 32 61 .07 43 282 4 .34 66 11 δ .00 36 .00 36 .00 36 .00 36 .00 35 .00 35 .00 35 .00 35 .00 35 .00 35 .00 34 .00 34 .00 33

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III:

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dissociation

ene

rgy

of

HD

v \ J 0 1 2 3 4 5 6 7 8 9 1 0 11 12 12 BO 43 56 .13 93 43 14 .09 96 423 0 .51 92 410 6 .38 73 39 43 .16 66 374 2 .76 99 350 7 .53 40 32 40 .19 18 294 3 .84 87 262 1 .96 49 22 78 .35 03 191 7 .17 83 154 3 .02 79 12 AD 5 .55 40 5 .54 47 5 .52 57 5 .49 65 5 .45 62 5 .40 37 5 .33 74 5 .25 59 5 .15 69 5 .03 82 4 .89 71 4 .73 02 4 .53 34 12 N A 4 .23 61 4 .23 13 4 .22 15 4 .20 64 4 .18 57 4 .15 86 4 .12 43 4 .08 19 4 .02 98 3 .96 66 3 .88 99 3 .79 70 3 .68 41 12 α 2 − .45 32 − .45 29 − .45 22 − .45 11 − .44 95 − .44 72 − .44 41 − .44 01 − .4 349 − .42 82 − .41 98 − .40 93 − .39 62 12 α 3 − .03 50 − .03 47 − .03 40 − .03 29 − .03 16 − .02 99 − .02 80 − .02 58 − .02 34 − .02 09 − .01 82 − .01 54 − .01 26 12 α 4 − .00 03 − .00 03 − .00 03 − .00 03 − .00 03 − .00 03 − .00 03 − .00 03 − .00 02 − .00 02 − .00 02 − .00 02 − .00 02 12 T otal 43 65 .44 08 43 23 .38 76 423 9 .77 98 41 15 .60 59 39 52 .32 71 375 1 .85 48 35 16 .52 34 32 49 .06 34 295 2 .57 69 26 30 .52 04 22 86 .69 91 192 5 .28 06 15 50 .83 64 12 δ .00 35 .00 35 .00 35 .00 35 .00 34 .00 34 .00 34 .00 34 .00 33 .00 33 .00 32 .00 31 .00 30 13 BO 29 22 .12 76 28 85 .34 57 281 2 .29 95 27 04 .01 77 25 62 .02 69 238 8 .33 53 21 85 .41 57 19 56 .19 23 170 4 .03 68 14 32 .78 06 11 46 .75 79 85 0 .89 65 5 50 .90 27 13 AD 4 .68 25 4 .66 92 4 .64 23 4 .60 12 4 .54 49 4 .47 23 4 .38 18 4 .27 14 4 .13 87 3 .98 06 3 .79 29 3 .5 702 3 .30 40 13 N A 3 .98 20 3 .97 35 3 .95 61 3 .92 95 3 .89 29 3 .84 54 3 .78 57 3 .71 19 3 .62 19 3 .51 27 3 .38 02 3 .2 189 3 .02 05 13 α 2 − .39 91 − .39 84 − .39 69 − .39 46 − .39 14 − .38 72 − .38 16 − .37 46 − .36 57 − .35 48 − .34 12 − .32 44 − .30 36 13 α 3 − .02 67 − .02 64 − .02 58 − .02 48 − .02 36 − .02 21 − .02 04 − .01 84 − .01 63 − .01 41 − .01 17 − .00 93 − .00 69 13 α 4 − .00 03 − .00 03 − .00 03 − .00 03 − .00 02 − .00 02 − .00 02 − .00 02 − .00 02 − .00 02 − .00 01 − .00 01 − .00 01 13 T otal 29 30 .36 61 28 93 .56 33 282 0 .47 50 27 12 .12 87 25 70 .04 95 239 6 .24 35 21 93 .18 10 19 63 .78 25 171 1 .41 52 14 39 .90 49 11 53 .57 79 85 7 .35 17 5 56 .91 66 13 δ .00 33 .00 33 .00 33 .00 32 .00 32 .00 32 .00 31 .00 30 .00 30 .00 29 .00 28 .00 26 .00 25 14 BO 17 35 .18 04 17 04 .35 26 164 3 .25 23 15 52 .98 68 14 35 .21 08 129 2 .12 27 11 26 .46 95 9 41 .56 59 74 1 .34 53 5 30 .46 84 3 14 .55 06 10 0 .67 73 14 AD 3 .70 94 3 .69 20 3 .65 69 3 .60 33 3 .53 02 3 .43 59 3 .31 82 3 .17 43 2 .99 99 2 .78 90 2 .53 19 2 .2 103 14 N A 3 .51 05 3 .49 65 3 .4 683 3 .42 51 3 .36 58 3 .28 86 3 .19 14 3 .07 10 2 .92 29 2 .74 08 2 .51 44 2 .2 253 14 α 2 − .33 14 − .33 02 − .32 78 − .32 40 − .31 88 − .31 19 − .30 31 − .29 20 − .27 81 − .26 08 − .23 91 − .21 12 14 α 3 − .01 91 − .01 88 − .01 82 − .01 74 − .01 63 − .01 50 − .01 35 − .01 18 − .00 99 − .00 80 − .00 60 − .00 40 14 α 4 − .00 02 − .00 02 − .00 02 − .00 02 − .00 02 − .00 02 − .00 02 − .00 01 − .00 01 − .00 01 − .00 01 − .00 01 14 T otal 17 42 .04 95 17 11 .19 19 165 0 .03 13 15 59 .67 37 14 41 .77 14 129 8 .52 02 11 32 .66 24 9 47 .50 72 74 6 .97 99 5 35 .72 92 3 19 .35 16 10 4 .89 77 14 δ .00 29 .00 29 .00 28 .00 28 .00 28 .00 27 .00 26 .00 25 .00 24 .00 23 .00 21 .00 18 15 BO 82 5 .26 35 8 01 .40 25 75 4 .31 16 6 85 .25 91 5 96 .16 62 48 9 .64 22 3 69 .05 94 2 38 .70 99 10 4 .16 87 15 AD 2 .64 28 2 .62 05 2 .57 52 2 .50 59 2 .41 06 2 .28 63 2 .12 84 1 .92 94 1 .67 53 15 N A 2 .75 61 2 .73 44 2 .69 04 2 .62 27 2 .52 93 2 .40 67 2 .25 00 2 .05 10 1 .79 47 15 α 2 − .24 71 − .24 53 − .24 16 − .23 58 − .22 78 − .21 71 − .20 33 − .18 57 − .16 27 15 α 3 − .01 21 − .01 18 − .01 14 − .01 06 − .00 97 − .00 86 − .00 73 − .00 58 − .00 43 15 α 4 − .00 01 − .00 01 − .00 01 − .00 01 − .00 01 − .00 01 − .00 01 − .00 01 − .00 01 15 T otal 83 0 .40 30 8 06 .50 01 75 9 .32 42 6 90 .14 12 6 00 .86 85 49 4 .10 95 3 73 .22 71 2 42 .49 88 10 7 .47 17 15 δ .00 23 .00 22 .00 22 .00 22 .00 21 .00 20 .00 18 .00 17 .00 15 16 BO 23 2 .13 88 2 16 .85 01 18 7 .08 98 1 44 .54 19 91 .89 39 3 3 .20 87 16 AD 1 .45 98 1 .42 92 1 .36 65 1 .26 86 1 .12 88 .93 21 16 N A 1 .64 22 1 .60 83 1 .53 89 1 .43 04 1 .27 56 1 .05 78 16 α 2 − .14 20 − .13 92 − .13 34 − .12 43 − .11 12 − .09 26 16 α 3 − .00 58 − .00 56 − .00 51 − .00 45 − .00 37 − .00 27 16 α 4 − .00 01 − .00 01 − .00 01 − .00 01 .00 00 .00 00 16 T otal 23 5 .09 29 2 19 .74 27 18 9 .85 66 1 47 .11 20 94 .18 33 3 5 .10 32 16 δ .00 13 .00 13 .00 13 .00 12 .00 10 .00 09 17 BO 3 .32 26 .23 68 17 AD .15 45 .08 46 17 N A .18 22 .10 40 17 α 2 − .01 64 − .00 96 17 α 3 − .00 04 − .00 02 17 α 4 .00 00 .00 00 17 T otal 3 .64 24 .41 56 17 δ .00 01 .00 01

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T

ABLE

IV

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Components

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v \ J 13 14 1 5 1 6 17 1 8 1 9 20 2 1 2 2 23 2 4 2 5 0 BO 29 01 7 .27 81 2 79 96 .03 44 2 693 0 .88 65 2 582 6 .15 24 2 46 86 .05 17 2 351 4 .68 29 2 231 6 .00 69 2 10 93 .83 57 1 985 1 .82 51 1 859 3 .47 14 1 73 22 .11 13 1 60 40 .92 53 1 475 2 .94 23 0 AD 7 .04 60 7 .40 20 7 .76 53 8 .13 32 8 .50 31 8 .87 27 9 .23 97 9 .60 16 9 .95 64 1 0 .30 17 10 .63 57 10 .95 60 1 1 .26 08 0 N A .96 88 1 .05 81 1 .15 16 1 .24 89 1 .34 99 1 .45 43 1 .56 20 1 .67 28 1 .78 64 1 .90 29 2 .02 19 2 .14 35 2 .26 76 0 α 2 − .67 07 − .68 72 − .70 35 − .71 97 − .73 56 − .75 11 − .76 60 − .78 03 − .79 38 − .80 65 − .81 84 − .82 92 − .83 90 0 α 3 − .13 71 − .12 96 − .12 18 − .11 40 − .10 60 − .09 81 − .09 01 − .08 21 − .07 42 − .06 64 − .05 86 − .05 10 − .04 36 0 α 4 − .00 12 − .00 11 − .00 10 − .00 10 − .00 09 − .00 09 − .00 08 − .00 07 − .00 07 − .00 06 − .00 06 − .00 05 − .00 04 0 T otal 29 02 4 .48 39 2 80 03 .67 68 2 69 38 .97 69 2 583 4 .69 98 2 46 95 .06 21 2 35 24 .15 99 2 232 5 .95 17 2 11 04 .24 69 1 98 62 .69 92 1 860 4 .80 24 1 73 33 .89 14 1 60 53 .14 41 1 476 5 .58 76 0 δ .00 11 .00 12 .00 12 .00 13 .00 13 .00 14 .00 15 .00 16 .00 16 .00 17 .00 18 .00 19 .00 20 1 BO 25 71 2 .35 94 2 47 38 .08 60 2 37 22 .33 20 2 266 9 .27 85 2 15 83 .01 44 2 04 67 .51 61 1 932 6 .63 30 1 81 64 .07 73 1 69 83 .41 84 1 578 8 .08 15 1 45 81 .34 88 1 33 66 .36 43 1 214 6 .14 11 1 AD 7 .70 39 8 .01 99 8 .34 06 8 .66 35 8 .98 61 9 .30 61 9 .62 09 9 .92 82 10 .22 59 1 0 .51 14 10 .78 27 11 .03 75 1 1 .27 34 1 N A 1 .53 52 1 .61 59 1 .70 04 1 .78 86 1 .88 01 1 .97 48 2 .07 26 2 .17 33 2 .27 67 2 .38 27 2 .49 12 2 .60 21 2 .71 53 1 α 2 − .67 98 − .69 46 − .70 93 − .72 37 − .73 78 − .75 13 − .76 43 − .77 65 − .78 79 − .79 84 − .80 80 − .81 64 − .82 38 1 α 3 − .12 17 − .11 46 − .10 73 − .09 99 − .09 24 − .08 49 − .07 74 − .06 99 − .06 25 − .05 51 − .04 79 − .04 08 − .03 38 1 α 4 − .00 10 − .00 10 − .00 09 − .00 09 − .00 08 − .00 08 − .00 07 − .00 06 − .00 06 − .00 05 − .00 05 − .00 04 − .00 04 1 T otal 25 72 0 .79 60 2 47 46 .91 15 2 37 31 .55 55 2 267 8 .90 61 2 15 93 .04 97 2 04 77 .96 01 1 933 7 .48 41 1 81 75 .33 17 1 69 95 .06 99 1 580 0 .12 15 1 45 93 .76 64 1 33 79 .14 63 1 215 9 .27 18 1 δ .00 15 .00 15 .00 16 .00 16 .00 17 .00 18 .00 18 .00 19 .00 20 .00 21 .00 22 .00 22 .00 23 2 BO 22 57 9 .27 35 2 16 51 .32 07 2 06 84 .34 01 1 968 2 .39 21 1 86 49 .45 29 1 75 89 .39 62 1 650 5 .98 09 1 54 02 .84 25 1 42 83 .48 96 1 315 1 .30 45 1 20 09 .54 67 1 08 61 .36 06 970 9 .78 57 2 AD 8 .21 82 8 .49 25 8 .76 89 9 .04 49 9 .31 80 9 .58 57 9 .84 55 10 .09 50 10 .33 19 1 0 .55 35 10 .75 75 10 .94 14 1 1 .10 25 2 N A 2 .05 21 2 .12 48 2 .20 10 2 .28 04 2 .36 30 2 .44 85 2 .53 67 2 .62 76 2 .72 09 2 .81 65 2 .91 44 3 .01 43 3 .11 61 2 α 2 − .68 47 − .69 78 − .71 08 − .72 34 − .73 55 − .74 70 − .75 79 − .76 79 − .77 71 − .78 52 − .79 23 − .79 82 − .80 27 2 α 3 − .10 72 − .10 05 − .09 37 − .08 67 − .07 97 − .07 26 − .06 56 − .05 86 − .05 16 − .04 47 − .03 80 − .03 13 − .02 49 2 α 4 − .00 09 − .00 09 − .00 08 − .00 08 − .00 07 − .00 07 − .00 06 − .00 06 − .00 05 − .00 05 − .00 04 − .00 03 − .00 03 2 T otal 22 58 8 .75 09 2 16 61 .13 87 2 06 94 .50 47 1 969 2 .90 66 1 86 60 .31 80 1 76 00 .61 00 1 651 7 .53 90 1 54 14 .73 80 1 42 95 .71 32 1 316 3 .84 41 1 20 22 .38 80 1 08 74 .48 65 972 3 .17 64 2 δ .00 18 .00 19 .00 19 .00 20 .00 21 .00 21 .00 22 .00 23 .00 23 .00 24 .00 25 .00 26 .00 26 3 BO 19 61 6 .42 52 1 87 34 .45 12 1 78 15 .95 99 1 686 4 .90 97 1 58 85 .18 48 1 48 80 .57 95 1 385 4 .78 75 1 28 11 .39 62 1 17 53 .88 61 1 068 5 .63 36 96 09 .91 93 85 29 .93 93 744 8 .82 17 3 AD 8 .58 25 8 .81 32 9 .04 32 9 .26 99 9 .49 07 9 .70 31 9 .90 45 10 .09 23 10 .26 40 1 0 .41 69 10 .54 81 10 .65 49 1 0 .73 40 3 N A 2 .52 14 2 .58 63 2 .65 44 2 .72 53 2 .79 90 2 .87 52 2 .95 39 3 .03 47 3 .11 75 3 .20 22 3 .28 84 3 .37 60 3 .46 46 3 α 2 − .68 52 − .69 66 − .70 76 − .71 83 − .72 84 − .73 78 − .74 64 − .75 41 − .76 08 − .76 63 − .77 06 − .77 35 − .77 49 3 α 3 − .09 37 − .08 74 − .08 10 − .07 44 − .06 78 − .06 12 − .05 46 − .04 80 − .04 16 − .03 52 − .02 89 − .02 27 − .01 67 3 α 4 − .00 08 − .00 08 − .00 07 − .00 07 − .00 06 − .00 06 − .00 05 − .00 05 − .00 04 − .00 04 − .00 03 − .00 03 − .00 02 3 T otal 19 62 6 .74 94 1 87 45 .06 60 1 78 26 .86 81 1 687 6 .11 14 1 58 96 .67 76 1 48 92 .35 83 1 386 6 .84 43 1 28 23 .72 06 1 17 66 .46 48 1 069 8 .45 08 96 22 .95 61 85 43 .17 37 746 2 .22 85 3 δ .00 22 .00 22 .00 23 .00 23 .00 24 .00 24 .00 25 .00 26 .00 26 .00 27 .00 28 .00 28 .00 29 4 BO 16 82 3 .43 16 1 59 87 .44 34 1 51 17 .54 18 1 421 7 .60 57 1 32 91 .45 27 1 23 42 .82 59 1 137 5 .38 65 1 03 92 .71 17 93 98 .29 75 839 5 .56 72 73 87 .88 52 63 78 .57 69 537 0 .95 65 4 AD 8 .78 99 8 .97 47 9 .15 57 9 .33 02 9 .49 55 9 .64 91 9 .78 81 9 .90 99 10 .01 15 1 0 .09 01 10 .14 23 10 .16 49 1 0 .15 40 4 N A 2 .94 33 3 .00 05 3 .06 03 3 .12 25 3 .18 69 3 .25 33 3 .32 15 3 .39 12 3 .46 22 3 .53 41 3 .60 65 3 .67 89 3 .75 07 4 α 2 − .68 08 − .69 04 − .69 95 − .70 81 − .71 60 − .72 31 − .72 93 − .73 44 − .73 83 − .74 08 − .74 19 − .74 13 − .73 89 4 α 3 − .08 11 − .07 52 − .06 91 − .06 30 − .05 68 − .05 06 − .04 45 − .03 84 − .03 24 − .02 64 − .02 06 − .01 50 − .00 95 4 α 4 − .00 07 − .00 07 − .00 06 − .00 06 − .00 05 − .00 05 − .00 04 − .00 04 − .00 03 − .00 03 − .00 03 − .00 02 − .00 02 4 T otal 16 83 4 .40 21 1 59 98 .65 23 1 51 28 .98 85 1 422 9 .28 66 1 33 03 .36 17 1 23 54 .95 40 1 138 7 .72 20 1 04 05 .23 97 94 11 .00 03 840 8 .42 39 74 00 .87 13 63 91 .66 42 538 4 .11 25 4 δ .00 25 .00 25 .00 26 .00 26 .00 27 .00 27 .00 28 .00 28 .00 29 .00 30 .00 30 .00 31 .00 31 5 BO 14 20 1 .27 98 1 34 11 .69 20 1 25 90 .93 40 1 174 2 .83 35 1 08 71 .17 35 99 79 .68 39 907 2 .03 75 81 51 .85 36 72 22 .70 76 628 8 .14 77 53 51 .72 05 44 17 .00 75 348 7 .67 59 5 AD 8 .83 29 8 .96 93 9 .09 85 9 .21 76 9 .32 41 9 .41 49 9 .48 73 9 .53 82 9 .56 44 9 .56 26 9 .52 89 9 .45 91 9 .34 84 5 N A 3 .31 65 3 .36 53 3 .41 62 3 .46 88 3 .52 28 3 .57 80 3 .63 40 3 .69 04 3 .74 67 3 .80 23 3 .85 63 3 .90 78 3 .95 55 5 α 2 − .67 13 − .67 89 − .68 59 − .69 23 − .69 78 − .70 23 − .70 57 − .70 78 − .70 85 − .70 75 − .70 48 − .70 00 − .69 30 5 α 3 − .06 94 − .06 38 − .05 81 − .05 24 − .04 67 − .04 09 − .03 52 − .02 95 − .02 40 − .01 85 − .01 32 − .00 81 − .00 32 5 α 4 − .00 06 − .00 06 − .00 05 − .00 05 − .00 05 − .00 04 − .00 04 − .00 03 − .00 03 − .00 02 − .00 02 − .00 02 − .00 01 5 T otal 14 21 2 .68 78 1 34 23 .28 33 1 26 02 .70 41 1 175 4 .77 47 1 08 83 .27 55 99 91 .93 32 908 4 .41 76 81 64 .34 45 72 35 .28 59 630 0 .78 62 53 64 .38 75 44 29 .66 61 350 0 .28 37 5 δ .00 28 .00 28 .00 29 .00 29 .00 29 .00 30 .00 30 .00 31 .00 31 .00 32 .00 32 .00 32 .00 33

(6)

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v \ J 13 14 1 5 1 6 17 1 8 1 9 20 2 1 2 2 23 2 4 2 5 6 BO 11 75 2 .54 77 1 10 10 .26 54 1 023 9 .75 70 944 4 .83 55 86 29 .29 39 77 96 .90 06 695 1 .40 42 60 96 .54 48 52 36 .07 57 437 3 .79 74 35 13 .60 67 26 59 .56 98 181 6 .03 15 6 AD 8 .70 46 8 .79 00 8 .86 44 8 .92 50 8 .96 89 8 .99 31 8 .99 44 8 .96 94 8 .91 46 8 .82 57 8 .69 81 8 .52 61 8 .30 27 6 N A 3 .63 71 3 .67 64 3 .71 68 3 .75 79 3 .79 93 3 .84 05 3 .88 08 3 .91 96 3 .95 60 3 .98 87 4 .01 62 4 .03 65 4 .04 66 6 α 2 − .65 61 − .66 15 − .66 61 − .67 00 − .67 27 − .67 43 − .67 45 − .67 32 − .67 00 − .66 49 − .65 75 − .64 73 − .63 41 6 α 3 − .05 84 − .05 32 − .04 80 − .04 26 − .03 73 − .03 20 − .02 67 − .02 15 − .01 65 − .01 15 − .00 67 − .00 21 .00 22 6 α 4 − .00 05 − .00 05 − .00 05 − .00 04 − .00 04 − .00 03 − .00 03 − .00 03 − .00 02 − .00 02 − .00 01 − .00 01 − .00 01 6 T otal 11 76 4 .17 43 1 10 22 .01 66 1 02 51 .62 36 945 6 .80 54 86 41 .35 16 78 09 .02 75 696 3 .57 79 61 08 .73 89 52 48 .25 95 438 5 .93 52 35 25 .65 67 26 71 .48 28 182 7 .74 89 6 δ .00 30 .00 31 .00 31 .00 31 .00 32 .00 32 .00 32 .00 33 .00 33 .00 33 .00 33 .00 33 .00 33 7 BO 94 81 .70 95 87 88 .24 87 80 69 .79 08 733 0 .18 68 65 73 .30 25 58 03 .02 43 502 3 .27 47 42 38 .04 24 34 51 .42 72 266 7 .71 12 18 91 .46 63 11 27 .72 57 38 2 .27 16 7 AD 8 .39 96 8 .43 14 8 .44 82 8 .44 72 8 .42 51 8 .37 88 8 .30 47 8 .19 88 8 .05 66 7 .87 27 7 .64 04 7 .35 09 6 .99 11 7 N A 3 .89 78 3 .92 53 3 .95 25 3 .97 87 4 .00 34 4 .02 57 4 .04 44 4 .05 82 4 .06 54 4 .06 36 4 .04 96 4 .01 87 3 .96 40 7 α 2 − .63 43 − .63 72 − .63 93 − .64 02 − .63 99 − .63 80 − .63 44 − .62 89 − .62 10 − .61 05 − .59 68 − .57 93 − .55 69 7 α 3 − .04 83 − .04 35 − .03 86 − .03 37 − .02 88 − .02 39 − .01 91 − .01 44 − .00 98 − .00 54 − .00 12 .00 28 .00 65 7 α 4 − .00 05 − .00 04 − .00 04 − .00 04 − .00 03 − .00 03 − .00 02 − .00 02 − .00 02 − .00 01 − .00 01 − .00 01 .00 00 7 T otal 94 93 .32 38 87 99 .92 42 80 81 .51 32 734 1 .93 85 65 85 .06 22 58 14 .76 66 503 4 .97 01 42 49 .65 60 34 62 .91 82 267 9 .03 14 19 02 .55 82 11 38 .51 87 39 2 .67 63 7 δ .00 32 .00 33 .00 33 .00 33 .00 33 .00 33 .00 33 .00 34 .00 34 .00 34 .00 33 .00 33 .00 33 8 BO 73 95 .56 61 67 53 .22 98 60 89 .53 37 540 8 .44 48 47 14 .00 09 40 10 .33 37 330 1 .70 91 25 92 .59 43 18 87 .76 20 119 2 .46 01 5 12 .70 07 8 AD 7 .91 56 7 .89 16 7 .84 85 7 .78 31 7 .69 21 7 .57 15 7 .41 73 7 .22 42 6 .98 58 6 .69 39 6 .33 59 8 N A 4 .08 64 4 .09 82 4 .10 75 4 .11 33 4 .11 44 4 .10 94 4 .09 61 4 .07 20 4 .03 36 3 .97 56 3 .89 06 8 α 2 − .60 51 − .60 53 − .60 42 − .60 18 − .59 77 − .59 17 − .58 34 − .57 24 − .55 83 − .54 04 − .51 76 8 α 3 − .03 90 − .03 46 − .03 01 − .02 56 − .02 11 − .01 67 − .01 23 − .00 81 − .00 41 − .00 03 .00 33 8 α 4 − .00 04 − .00 04 − .00 03 − .00 03 − .00 02 − .00 02 − .00 02 − .00 01 − .00 01 − .00 01 .00 00 8 T otal 74 06 .92 36 67 64 .57 94 61 00 .85 50 541 9 .71 36 47 25 .18 84 40 21 .40 61 331 2 .62 67 26 03 .30 98 18 98 .21 88 120 2 .58 89 5 22 .41 30 8 δ .00 34 .00 34 .00 34 .00 34 .00 34 .00 34 .00 34 .00 34 .00 33 .00 33 .00 32 9 BO 55 03 .86 23 49 16 .01 22 43 11 .03 80 369 3 .15 08 30 66 .73 01 24 36 .38 48 180 7 .05 35 11 84 .17 22 5 73 .96 30 9 AD 7 .25 48 7 .17 35 7 .06 86 6 .93 64 6 .77 31 6 .57 36 6 .33 21 6 .04 04 5 .68 67 9 N A 4 .18 34 4 .17 31 4 .15 69 4 .13 30 4 .09 92 4 .05 26 3 .98 94 3 .90 41 3 .78 82 9 α 2 − .56 72 − .56 41 − .55 94 − .55 28 − .54 40 − .53 26 − .51 81 − .49 97 − .47 64 9 α 3 − .03 05 − .02 64 − .02 23 − .01 83 − .01 42 − .01 03 − .00 65 − .00 29 .00 06 9 α 4 − .00 03 − .00 03 − .00 03 − .00 02 − .00 02 − .00 02 − .00 01 − .00 01 − .00 01 9 T otal 55 14 .70 25 49 26 .76 80 43 21 .68 15 370 3 .64 89 30 77 .04 39 24 46 .46 79 181 6 .85 04 11 93 .61 40 5 82 .96 20 9 δ .00 35 .00 34 .00 34 .00 34 .00 34 .00 33 .00 33 .00 32 .00 31 10 BO 38 20 .21 24 32 91 .71 33 27 51 .24 59 220 3 .50 06 16 53 .53 41 11 06 .93 42 57 0 .11 35 50 .87 85 10 AD 6 .42 52 6 .28 52 6 .11 62 5 .91 38 5 .67 21 5 .38 33 5 .03 59 4 .61 03 10 N A 4 .15 91 4 .11 66 4 .06 24 3 .99 34 3 .90 53 3 .79 20 3 .64 44 3 .44 72 10 α 2 − .51 90 − .51 18 − .50 25 − .49 06 − .47 55 − .45 66 − .43 28 − .40 22 10 α 3 − .02 28 − .01 91 − .01 54 − .01 18 − .00 83 − .00 49 − .00 17 .00 13 10 α 4 − .00 03 − .00 02 − .00 02 − .00 02 − .00 01 − .00 01 − .00 01 .00 00 10 T otal 38 30 .25 46 33 01 .58 39 27 60 .90 64 221 2 .90 53 16 62 .62 75 11 15 .64 79 57 8 .35 92 58 .53 50 10 δ .00 34 .00 34 .00 33 .00 33 .00 32 .00 31 .00 30 .00 28 11 BO 23 63 .58 20 19 01 .60 70 14 34 .36 52 96 7 .54 91 5 07 .73 85 63 .01 12 11 AD 5 .43 84 5 .23 67 4 .99 80 4 .71 47 4 .37 51 3 .95 88 11 N A 3 .96 94 3 .87 81 3 .76 49 3 .62 33 3 .44 31 3 .20 70 11 α 2 − .45 80 − .44 55 − .42 99 − .41 04 − .38 59 − .35 45 11 α 3 − .01 58 − .01 26 − .00 94 − .00 63 − .00 33 − .00 05 11 α 4 − .00 02 − .00 02 − .00 01 − .00 01 − .00 01 − .00 01 11 T otal 23 72 .51 58 19 10 .26 35 14 42 .68 87 97 5 .47 03 5 15 .16 74 69 .82 20 11 δ .00 33 .00 32 .00 31 .00 30 .00 28 .00 26

(7)

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v \ J 13 14 1 5 16 12 BO 11 60 .97 21 77 6 .74 64 39 7 .07 53 3 0 .36 83 12 AD 4 .3 011 4 .0 256 3 .6 946 3 .28 53 12 N A 3 .54 62 3 .37 60 3 .16 21 2 .88 40 12 α 2 − .38 00 − .35 99 − .33 46 − .30 19 12 α 3 − .00 98 − .00 70 − .00 43 − .00 17 12 α 4 − .00 01 − .00 01 − .00 01 − .00 01 12 T otal 11 68 .42 95 78 3 .78 11 40 3 .59 30 3 6 .23 40 12 δ .00 29 .00 28 .00 26 .00 24 13 BO 25 3 .63 99 13 AD 2 .98 05 13 N A 2 .77 12 13 α 2 − .27 72 13 α 3 − .00 45 13 α 4 − .00 01 13 T otal 25 9 .10 98 13 δ .00 23

(8)

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v \ J 26 2 7 2 8 2 9 3 0 3 1 3 2 3 3 3 4 3 5 3 6 0 BO 13 46 1 .04 78 121 67 .99 31 108 76 .40 64 95 88 .80 60 83 07 .61 52 70 35 .17 91 57 73 .78 42 45 25 .68 20 32 93 .11 65 20 78 .35 96 8 83 .75 64 0 AD 11 .54 79 11 .81 52 12 .06 06 12 .28 17 12 .47 63 12 .64 17 12 .77 51 12 .87 32 12 .93 24 12 .94 84 12 .91 58 0 N A 2 .39 40 2 .52 27 2 .65 37 2 .78 69 2 .92 21 3 .05 94 3 .19 87 3 .33 99 3 .48 28 3 .62 72 3 .77 30 0 α 2 − .8 477 − .85 53 − .86 16 − .86 66 − .87 03 − .87 25 − .8 732 − .87 23 − .86 96 − .86 50 − .85 82 0 α 3 − .0 363 − .02 91 − .02 22 − .01 54 − .00 89 − .00 25 .0 035 .00 94 .01 50 .02 03 .02 54 0 α 4 − .0 004 − .00 03 − .00 03 − .00 02 − .00 02 − .00 01 − .0 001 .00 00 .00 00 .00 01 .00 01 0 T otal 13 47 4 .1 053 12 181 .44 63 108 90 .23 66 96 02 .99 23 83 22 .13 43 70 50 .00 50 57 88 .8 882 4 541 .03 21 33 08 .67 71 20 94 .09 06 8 99 .61 25 0 δ .00 21 .00 22 .00 23 .00 24 .00 25 .00 26 .00 27 .00 28 .00 29 .00 30 .00 32 1 BO 10 92 3 .57 11 97 01 .43 78 84 82 .43 06 72 69 .16 34 60 64 .19 55 48 70 .05 80 36 89 .28 69 25 24 .46 43 13 78 .27 61 2 53 .59 06 1 AD 11 .48 81 11 .67 90 11 .84 37 11 .97 93 12 .08 27 12 .15 03 12 .17 82 12 .16 17 12 .09 48 11 .97 03 1 N A 2 .83 07 2 .94 81 3 .06 75 3 .18 87 3 .31 14 3 .43 56 3 .56 09 3 .68 68 3 .81 28 3 .93 81 1 α 2 − .82 99 − .83 47 − .83 82 − .84 01 − .84 05 − .83 91 − .83 59 − .83 06 − .82 30 − .81 28 1 α 3 − .0 270 − .02 03 − .01 39 − .00 77 − .00 16 .00 42 .0 097 .01 50 .02 00 .02 47 1 α 4 − .0 003 − .00 03 − .00 02 − .00 02 − .00 01 − .00 01 .0 000 .00 00 .00 01 .00 01 1 T otal 10 93 7 .03 26 9 715 .20 96 84 96 .48 96 72 83 .48 34 60 78 .74 73 48 84 .80 89 37 04 .1 998 2 539 .49 72 13 93 .38 07 2 68 .71 11 1 δ .0 024 .00 25 .00 26 .00 27 .00 28 .00 29 .00 30 .00 31 .00 32 .00 33 2 BO 85 57 .7 710 7 408 .19 24 62 63 .87 53 51 27 .62 24 40 02 .24 92 28 90 .63 18 17 95 .7 709 720 .88 40 2 AD 11 .2 379 11 .34 48 11 .41 99 11 .45 95 11 .45 93 11 .41 45 11 .31 90 11 .16 49 2 N A 3 .2 195 3 .32 44 3 .43 05 3 .53 74 3 .64 45 3 .75 14 3 .85 71 3 .96 03 2 α 2 − .80 59 − .80 76 − .80 77 − .80 60 − .80 23 − .79 64 − .78 81 − .77 70 2 α 3 − .01 85 − .01 24 − .00 65 − .00 08 .00 47 .01 00 .01 49 .01 96 2 α 4 − .00 02 − .00 02 − .00 02 − .00 01 − .00 01 .00 00 .00 00 .00 01 2 T otal 85 71 .4 037 7 422 .04 15 62 77 .91 14 51 41 .81 24 40 16 .55 55 29 05 .01 13 18 10 .17 37 7 35 .25 19 2 δ .00 27 .00 28 .00 29 .00 30 .00 30 .00 31 .00 32 .00 33 3 BO 63 69 .64 88 52 95 .48 50 42 29 .41 48 31 74 .59 27 21 34 .31 30 11 12 .11 10 1 11 .91 84 3 AD 10 .78 22 10 .79 57 10 .77 02 10 .70 06 10 .58 09 10 .40 32 10 .15 71 3 N A 3 .55 39 3 .64 32 3 .73 21 3 .81 95 3 .90 43 3 .98 48 4 .05 84 3 α 2 − .77 47 − .77 26 − .76 86 − .76 22 − .75 34 − .74 15 − .72 61 3 α 3 − .01 09 − .00 53 .00 01 .00 52 .01 01 .01 48 .01 91 3 α 4 − .00 02 − .00 01 − .00 01 − .00 01 .00 00 .00 00 .00 01 3 T otal 63 83 .19 91 53 09 .14 59 42 43 .14 85 31 88 .35 57 21 48 .05 49 11 25 .77 23 1 25 .42 69 3 δ .00 30 .00 30 .00 31 .00 32 .00 32 .00 33 .00 34 4 BO 43 68 .36 48 33 74 .22 05 23 92 .09 32 14 25 .80 97 4 79 .61 82 4 AD 10 .10 53 10 .01 39 9 .87 38 9 .67 72 9 .41 39 4 N A 3 .82 09 3 .88 86 3 .95 21 4 .00 95 4 .05 76 4 α 2 − .73 45 − .72 78 − .71 85 − .70 61 − .69 00 4 α 3 − .00 42 .00 08 .00 57 .01 02 .01 45 4 α 4 − .00 01 − .00 01 .00 00 .00 00 .00 00 4 T otal 43 81 .55 21 33 87 .39 60 24 05 .20 63 14 38 .80 04 4 92 .41 42 4 δ .00 32 .00 32 .00 33 .00 33 .00 34 5 BO 25 67 .55 32 16 60 .73 54 7 71 .75 67 5 AD 9 .1 910 8 .97 93 8 .70 36 5 N A 3 .99 76 4 .03 15 4 .05 36 5 α 2 − .68 32 − .67 04 − .65 37 5 α 3 .00 16 .00 60 .01 02 5 α 4 − .00 01 .00 00 .00 00 5 T otal 25 80 .06 00 16 73 .08 18 7 83 .87 04 5 δ .00 33 .00 33 .00 34

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v \ J 26 2 7 6 BO 98 7 .78 68 180 .36 78 6 AD 8 .01 84 7 .65 97 6 N A 4 .04 24 4 .01 75 6 α 2 − .61 70 − .59 50 6 α 3 .00 63 .01 01 6 α 4 .00 00 .00 00 6 T otal 99 9 .23 69 191 .46 01 6 δ .00 33 .00 33

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