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, = (B, vol.20, issue.11, p.25

, Arrr-26)

, Arrr-27)

. Fz, u r)V (n, o,b + b' ) + A (1,o, b -b' ), )V(n,r,b +b' )+ fl

B. , -*tfl (x) xn dx fl Q, n,o) = .É,r-"*Pro {x) x' dx

. De-la-même-manière-pour-i-'autre-Élément-de-matrice-et-on-obtient, =:',r:îtnryf,$[n/, 12 gx4,"s=s W1îr,r

, n,o,lr) sont calculées dans I'annexe IV ll9

, cD é t e rmination fe s int ég ra fe s fl(m, 1, o, o) et c\|, Détermination des intégrales fl(mr(.on o) et (B(

, Considérons l'équation (II-97) qui donne I'expression de I'intégrale fl(m

, )(1 -"'Y x' dx dans le cas de l'orbital 1o A(m,L,n,o) devient : .A(t,n,o) = I,r-*pf (x)xn dx

, Pour n:0 et L, p.0

*. ,

, r n(l +1,0, o) 'u=-1@,o

, Pour calculer A (0,0,o), on utilise la méthode de Corbato, en définissant la fonction f par : (Arv-1)

, Arv-3)

, Arv-4)

, Arv-s)

, Arv-6)

. Ftr-t, .f0 dans I'ordre décroissant pour Partons du fait que I A((.,0,o)l.l n((. +1,0,o) l, on suppose qu'il existe une valeur max Ly >>

, équation (AfV-4) et la relation de récurrence : A(t +r,0, ù =4+r A(2,0, o)+ A(I -r,o,o), o on peut établir une relation entre les f7 : '-_ -o " 2L+3-ofr*, Par suite on détermine tous les termes o+0, Dans ces conditions t21 cDéterminatian [es intégrafes fl(m,|.,fl,o) et fl(.,n

, Lorsque n :1, en intégrant A(0,1,o) : .[, e-* x I dx par partie

, A(0,r,o;= -lt-" *"*" l* I(o,o,o)

A. En-divisant-par and O. ,

, Cela mène à une relation liant f o et fl(0,0, o), qui s'écrit : -r. l"l ro = 763+lo l+1

, et on déduit facilement ^ lol A(0,0,")==iL (Arv-to)

, où ofo est toujours négatif

L. 'équation, AIV-5) permet donc d'obtenir tous les termes de f intégrale A(l,O,o)

, Enfin pour déterminer tous les termes de l'intégrale I(L,n,o) on utilise la relation de récurrence : A(t,n,o\=Jir-n(t*l,n-1, Q+L n(I-r,n-Lo)

. Dans-le-cas-où, et tous les termes "n(l,o,o) sont nuls. Par suite, les intégrales A(.Ln,O), sont déterminées à l

, IJ Culcal de l'intégrale cNL&

, ?,) de l'équation (II-80) est définit par : t^, p.o(x)dx

, E, issue.1

, Jt

, Nous calculons dans un premier temps o(1,0,o,I), puis on remonte à a((.,n,o,}") par une relation de récurrence. t22 cD é t e rmination [e s int ég ra fe s fl(m, p.et {B(

E. and O. ,

, Jl

, AfV-14) une fois par partie, on trouve : E(I,0,o,I) - rB(0'0'o'l') * e-o -l'e-oÀ, En intégrant l'équation

, Aw-15)

, En utilisant ensuite la relationDPl_1(x) = (Arv-16

, Après une intégration par partie et en considérant le fait que P7 (1) = 1 V (

+. and ^. ,

, on définit une fonction fr-(x) par : \. / .m rfl(x -r) = 11

, ' t qui peut s'écrire aussi : rf(t)=>AE th.t, p.1

. Dans-le-cas-de, rl"(x-l) se réduit à fr0(x-1)=Pr0{*) et la relation (AIV-20) devient : ra(t)=fryY |=o

, La fonction fflt* -1) vérifie la relation de récurrence suivante : ([, + m)lf;(x -1) = (2(, -1)* rËr (x -1) -(t -m -1) rf,r(x -r)

, Arv-19)

, Arv, vol.20

, Arv-21)

, r23 (Arv-22)

, Détermination [es intégraks A(m,(.,n,o) et tfl(

L. En-remplaçant and . Relation, AIV-22), pour l'orbital 1o, (m : 0), dans l'équation (AIV-12) on obtient

, Qt +r)

. Dans-le-cas-où-o, est grand on peut écrire l'équation (AIV-18) sous la forme suivante: E(t,o,o,1.) = ;.^r-*r;fx-1)dx= e-o ftr-rfl(t)dt

, En posant le changement de variable t=x-l et y=À-1

*. Et-compte-tenu-du-fait-que and . Fiu, ffl(t), et en intégrant une infinité de fois par ^ dtL " partie, l'intégrale (AIV-24) devient : B(t,o,o, À) = (::\r-"^ i o jrfl*j*t (y) (Arv-26

, Cette intégrale se réduit, dans le cas de l'orbital 1or

, n,o,À) par une relation de récurrence, Nous

, D ét ermination [e s int ég ra k s fl(m, (.,fl , o) et tB

, AIV-I8) et on écrit : K((,',o, r) = s:re.T#*D *, On reprend la relation

, qui peut se mettre sous la forme

, -r) t{-ilt) " r, -le o, À) + t53lt) * r l -2, p.1

, Pz(r) Pil)

-. ,

, (it -1)t I Pt(i') I

L. En-utilisant and . Relation, AIV-22), et la fonction définie par : xçr(?')=hffi Pour(m:o)' (Arv-32) larelation (AIV-31) devient

K. and !. , 4K(l -1,0,o,I) - '-o^ ' aXçt\L) o(2 -tyi *#^l ^. \,rr-,-lf, p.33

, Dlxz-r(r) lL ' o17z_r)à

L. Division, équation (AIV-23) par (t"2 -DrPt(1,) et l'équation (AIV-22) pour (m : 0) donnent la relation de récurrence

, four (I -1)" > 1on utilise plutôt (AIV-27) et on aura

K. , tJ -t)â Pro

K. Enfrn, est obtenue à I'aide de la relation (AIV-34) avec "i -(r-r)j ro- u ri =#t^+ jlrJ, p.36

, = (, *,I lAn -r)x r :n-r -A -: -r) r i-rl

, cDétermination [es intégraks fl(m,(.,fl,o) et flt

. La-limite-de-kk,

, Nous, p.172

, Arv-38)

, Arv-3e)

, Arv-40)

, Arv-41)

^. It and I. Pt, (x)dx (f -r1ï vnçx1 *

, la relation (AIV-38) devient : +\ ' 2!.+l'L-Lv Wférences

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, Résumé

, Nous avons développé une désorption de l'état initial des systèmes diatomiques à un et à deux électrons, ainsi qu'une approche analytique du problème du continuum à deux centres coulombiens en se basant sur le principe de Pluvinage. Nous avons étudié la variation de la section efficace multiplement différentielle de I'ionisation dissociative de la molécule H j et de H2 par impact électronique à haute énergie d'incidence (2-10kev) en fonction de I'orientation de I'axe intemucléaire d'une part et des moments de transfert et de recul d'autre part, Ce travail présente des principes théoriques pour l'étude de I'ionisation dissociative des systèmes diatomiques à un et à deux électrons Nos calculs ont été confrontés aux résultats expérimentaux de Cherid et al et aux calculs théoriques de Allan et al, 1989.

, Ce travail ouvre une voie à l'étude des problèmes des collisions ionisantes dissociatives ou non par impact électronique et photonique des systèmes diatomiques