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INTERACTIONS OF SWIFT H, H+2 AND H+3 WITH THIN FOILS

M.J. Gaillard

To cite this version:

M.J. Gaillard. INTERACTIONS OF SWIFT H, H+2 AND H+3 WITH THIN FOILS. In- ternational Conference On Beam-Foil Spectroscopy 5, 1978, Lyon, France. pp.C1-342-C1-349,

�10.1051/jphyscol:1979174�. �jpa-00218454�

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JOURNAL DE PHYSIQUE Colloque C1, supplkment au

n

O 2,

Tome 40,

fkvrier 1979, page Cl-342

INTERACTIONS O F SWIFT H, H; AND H: WITH THIN FOILS M. J. G a i l l a r d

Institut de Physique Nucl6aire (and I N ~ P ~ ) , Universit6 Claude Bernard Lyon-1 4 3 , Bd du 11 Novembre 1918

-

69621 Villeurbanne, France

f t

Re'sumk

-

L'interaction de faisceaux rapides (" MeV) de H, Hz e t

H3

avec des cibles minces prksente quelques aspects spe'cifiques. Nous d6crivons dlabord des effets dy- namiques apparaissant lorsque l1on utilise des faisceaux mol6culaires : 1 e s i o n s s e d d ~ l a ~ a n t 21 grande vites s e pouvant 2tre accompagn6s d l u n e fluctuation periodique de l a densitk Clectronique du milieu, l e s fluctuations cre'e'es par les constituants dlun ion mol6culaire pourront interfkrer, perturbant ainsi l e u r propagation dans l e s o 1 i d e.

Nous montrons ensuite que llutilisation de faisceaux neutr e s ou mol6culaires permet de mettre en 6vidence l e r6le des 6lectrons du projectile ou de la cible dans l a forma- tion d'atomes neutres

.

Nous pre'sentons ensuite l e s me'canismes envisag6s pour ex- pliquer l a prksence dlions mole'culaires en s o r t i e de cibles minces e t nous montrons enfin comment l'observation de llexplosion de projectiles mole'culaires peut Stre mise B profit pour determiner leur structure.

Abstract

-

Some specific effects seen in the interactions of swift hydrogenic beams penetrating thin foils a r e presented. We describe f i r s t dynamic effects due to perio- d i c electron density fluctuations trailing fast charged particles moving in solids which can sustain plasmon oscillations. Studies of non equilibrated charge distribution dows

-

t r e a m very thin foils permit us to separate the role played by projectile a n d target electrons in neutral atom production. The observation of b o u n d molecules emerging from thin target raisesquestions about their formation and t h e processes involved.

Finally we show how original measurements on the dissociation of f a s t molecular ions by thin foils has opened up new possibilities f o r t h e investigation of molecular ion structure

INTRODUCTION

Recently, considerable interest has cente- red on the penetration of fast molecular ions through solids since i t has been demonstrated that the pro- pagation of spatially correlated ions through matter i s influenced by the electronic polarization wake trailing each ion [ I

1.

This paper present some features which have been observed when MeV atomic and molecu- l a r hydrogen ions penetrate thin foils. We a r e inte- rested i n the interactions occuring inside the solid and in phenomena which involve correlated electrons and ions emerging in a close vicinage f r o m the foils.

The f i r s t part i s a survey of some anorna- l i e s observed with molecular beams which can be attributed to polarization wake effects. In the s e - cond part, we comment on non-equilibrated neutral fractions measured dowstream very thin foils and related processes pertaining to the existence of mo-

molecular states a t emergence. The observation of bound molecular ions dowstream foils is thendia- cussed in t e r m s of electron capture a n d w a k e ef- fects. Finally we show that the study of the disso- ciation of fast molecular ions opens up new possibi- lities f o r the investigations of molecular structure.

POLARIZATION

-

W A V E EFFECTS

Evidences of the electronic-polarization wake were f i r s t seen through the observation of energy and angular distributions of break-up frag- ments emerging f r o m thin amorphous or crystalli-

t t t

ne targets bombarded with H2, H and HeH mole- 3

cular targets ions of MeV energy range [11

.

The

ion velocity v being l a r g e r than the Bohr velocity v the binding electrons a r e believed to be strip-

0 0

ped within a few A of the solid. This a consequen- ce of the large cross-section for electron l o s s due to collisions with target electrons. Then the

Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:1979174

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charged components arising f r o m the molecular ion repel each other due to the Coulomb force and the cluster begins to explode. With thin targets, the inter nuclear distances remain smaller than the screening length a = v/w where w is the vo-

P' P

lume plasma frequency of the target. The Coulomb repulsion initiated in the foil will be generally com- pleted i n vacuum dowstream the foil, and will r e - sult in a small isotropic component added to the ini- tial ion velocities. Consequently, the effects of the Coulomb explosion can be seen in the angular and energy distributions of ions detected after emergen- ce. Of course, the distributions depends on the po- pulation of vibrational levels of the incident mole- cular ions [ 2 ). Moreover, multiple scattering, slowing down and straggling due to electronic inte

-

ractions modify this simple description.

E a r l i e r results obtained by Golovchenko and ~ a e ~ s ~ a a r d [31 were consistent with the Cou- lomb explosion model. They measured the d i s t r i -

0

butions for protons transmitted through a 100 A thick carbon foil bombarded with 2 MeV H' ions.

2 With such a thin foil, most of the repulsion occurs after the foil.

F u r t h e r experiments performed w i t h thic- k e r targets exhibited particular features, and a new force was necessary to explain them and other new effects observed with molecular beams. This force i s related to the existence of a polarization wake trailing ions moving i n solids.

The concept of electronic polarization wake was predicted i n 1955 by R. Ritchie i n his thesis and published with Neufeld i n 1955 [4I

.

So-

y e a r s ago, Neelavathi, Ritchie and Brandt

r5I

stu- died the possibility for a n electron to be trapped i n the wake created by a moving ion. They expected surf-riding electrons to appear a s a group of elec- trons with velocity centered about v, the velocity of h e ion.

When a f a s t charged particle i s moving f a s t e r than the Ferrni velocity i n solid which can sustain well defined plasmon oscillations, the elec- trons of the solid r e a c t in an effort to s c r e e n the ion charge and an oscillatory charge density which is stationnary in the projectile f r a m e t r a i l s the ion

like a wake behind a ship. This polarization wake s e t s up a potential i n the medium. The resulting f o r c e acts a s a brake on the projectile itself and i s responsible for the electronic stopping power of the solid.

To probe this potential, i t was tempting to use molecular projectiles with internuclear distan-

0

c e s (* 1 A) short enough to allow vicinage effects through interference between the wakes t r a i 1 i n g behind each partner. The f i r s t observations concer- ned an alignment effect in the motion of ion clusters moving through solids [ 11

.

In one of them, we mea- sured the energy spectra of protons emerging in the beam direction f r o m amorphous carbon foils bom-

t t

barded with 2 MeV Hg and HeH beams (figure 1).

As predicted by the Coulomb explosion model, two peaks were observed corresponding to the leading and trailing particles. The low energy peak c o r r e s - ponding to trailing ions i s higher than the high ener- gy peak and the explanation i s that the trailing ions feel a n additionnal force

-

the so-'called wake force

-

which a t t r a c t i t towards the leading ion track. Thus the wake force enhances the emergen- ce of trailing ions a t 0' and gives r i s e to the asym- metry observed.

2-MeV H;

m d

370 390 610 ETECTED PROTON ENRGY lKEVl

Figure 1

These kind of measurements have been ex- tended a t Argonne with a l a r g e v a r i e r y of molecular

(4)

ions

[a .

As an example, figure 2 shows the expe- rimental joint distributions in energy and angle for

0

protons emerging from a 85 A carbon foil bombar- ded by a 2 MeV H ~ H ' beam. The simple C. E.

model would give a flat or uniform ring. In fact, two peaks appear. The higher intensity peak cor- respond to trailing particles which have felt the weak force due to the leading ion, while the lower peak corresponding to the leading ions is a conse- quence of the alignment of the internuclear axis of the cluster. On the right side, the calculated r e - sults come from a computer simulation of the expe- riment wider the assumption that the 61 -particle and proton motions a r e influenced by direct Cou- lomb explosion and wake-force. The good agree- ment with experimental results indicates the validi- ty of the wake-model.

Figure 2

Other experimental consequences of vici- nage effects in solids have been seen, one of these i s in the excess of energy loss suffered by the ion cluster considered a s a whole. For isolated ions, the total electronic stopping power i s dueinpart to close collisions resultingfrom single electron-ion.

collisions and in part to distant collisions resulting from resonant excitation of the medium. For MeV molecular ions, the mean internuclear distances a r e such that, in regard to close collisions, the partners ,can be considered a s independent particles, but in regard to distant collisions, the cluster acts a s a whole. Assuming an equipartition of energy loss into close and distant collisions one can pre- dict that, for very short dwell time, the energy

loss per proton should be 1.5 for H beam and 2.0 t

t 2

f o r H beam if we take 1.0 for protons of same 3

velocity.

F i r s t measurements of the excess of ener- gy loss were reported by Dettmann et al. [7

3

for

t 0

270 keV H ions bombarding a 500 A thick carbon 2

foil. Figure 3 shows a summary of measurements performed by Brandt e t al. [8] in which the square of the effective charge number per proton represen- ting the excess of energy loss i s plotted vs. the dwell time in various foils bombarded with H t and

t 2

H molecular ions, We can s e e that for small dwell- 3

time, protons, moving a s part of a spatially c o r r e - lated cluster have an effective charge number grea- t e r than unity. These values remain lower than the expected values even for smallest dwell-time for which vicinage effects should be important.

E,(H:) 150 75 kaV/nucleon

c o n

Figure 3

These measurements have been extended

[91

to higher velocity in order to reach shorter dwell-time. The energy loss per proton in clusters was only 1.2 times that observed for proton beam of s a m e velocity. Similar measurements perfor

-

med with 0- beams with energies of 2.9 to 2.0 2

MeV per atom showed similar results. These r e - sults a r e in good agreement with estimations using the partition rule of Lindhard and Winther.

The vicinage effect has been interpreted by Brandt e t al. [8

1

in t e r m s of interferences bet- ween wakes generated by the correlated moving ions. They point out that such stopping power

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measurements of light clusters would permit the test of the partition rule of stopping power and to determine the fraction of target electrons which participate into the collective excitation. However recent calculations using Lindhard's dielectric func- tion [ l o ]

,

had questioned the existence of a gene- r a l relation between the partition rules for the energy loss of a single ion and the energy loss of a cluster of ions with internuclear distances brack- edted between the two characteristic distances

and r rclose distant'

A particular aspect of the alteration of the stopping power has been studied by Mc Corkle and Iafrate [ I l l

.

They show that greatly enhanced stopping power

-

several orders of magnitude

-

for electrons and ions of very high energy moving in plasma can result f r o m the interaction of suffi- ciently dense charged particle beams with matter.

This beam density effect relies on a phase mixing of the polarization wakes produced by dense beam particles.

Berry e t al. [12] have reported optical observation on the dissociation of fast molecules in thin foil. They measured the Doppler broadening produced in light emitted from the hydrogen atom emerging from a thin foil bombarded with hydroge- nic molecular ions such a s (OH ) t

,

(OH )' and

t 2 3

(NH3)

.

Except for the NH' case, the Doppler 3

profile i s shifted to r e d wavelengths, i. e. towards lower velocity, a result similar to the energy mea-

t + t

surement on the (HeH ), H 2 and H 3

r l l .

They

-

interpret these asymmetries in t e r m s of polariza- tion wake produced in the solid by the heavy com- ponent of the molecular ion.

Search for cluster effect in X-rays pro- duction have also beenperformed. Chen e t al. (131 . have reported on the measurements of Aa K X rays yields with proton clusters in the energy range 90-1 50

.'

t k e ~ / a m u . The'yields per proton for H' and H were

2 3 t

4

%

and 8% smaller, respectively, than with a H beam of same velocity. However, these effects were accounted for quantitatively by the strongly enhanced stopping power of Ae for ions moving in tight clusters.

A. Lurio e t al. [14] measured X-rays arising f r o m

ionization of target electrons with equal velocity H t and H t projectiles in the 300- 1200 k e ~ / a m u ener-

2

gy range. To within the experimental uncertainty of 1

%

no difference in yield were detected.

NON-EQUILIBRATED NEUTRAL FRACTIONS A very useful consequence of ion and molecu- l a r ion-foils interactions pertains to the distribu- tion of charge states in the ion beam emerging from the foils. Most of the early charge exchange infor- mation obtained correspond to equilibrium charge states. We have been mainly concerned with the non-equilibrated neutral fraction and have used hydrogenic beams for initial measurements. An important aspect of this problem i s the description of a projectile charge state inside the solid i n the context of electron capture and loss c r o s s sections.

Brandt considers these c r o s s sections to be due to the gain and loss of correlation in speed and direc- tion between the projectile and electrons. T h i s can be investigated experimentally by studying non- equilibrated charge distributions, a method which was employed for instance by Datz et al. 1151 for channeled oxygen ions in gold crystals. In our ve- locity range and with the thinnest foils of carbon available, it was possible to observe such non equilibrated distributions with incident neutral atom H and with molecular ion beams [16].

Figure 4 shows neutral fraction @ e m e r -

0

ging f r o m carbon foils bombarded with 1.2 to 2 . 4 MeV neutral atoms H, a s a function of the dwell- time spent by the projectiles inside the foils. F o r very short dwell-time the increase of @ i s com-

0

patible with the extrapolation to zero thickness that @ approaches unity when the dwell-time ap-

0

proaches zero. The characteristic time of the exponential decrease permits one to calculate the experimental projectile electron loss c r o s s -sec

-

tion o F o r l a r g e r dwell-time the I curves

loss' 0

reach the equilibrated values @ (03) which a r e

0

the s a m e a s those obtained with proton beams ha- ving the same velocity. F r o m these @ (- ), we can extract the experimental capture c r o s s sec- tion a The mean f r e e path before loss of

capt'

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(21-346 JOURNAL DE PHYSIQUE

correlation between the projectile electron and the proton a s deduced from 0 i s found to be longer

l o s s

than that for inelastic collision of a f r e e electron injected into the solid with the same velocity, indi- cating that an electron correlated with a moving proton in a solid has a probahility of decorrelation by scattering which i s lower than that of an isolated electron [16]

:

The main difficulty here i s the exact description of the proton-electron system moving through a solid in a state of correlation.

We note that the existence of a bound state in a so- lid has been considered recently [173

.

0 0.5 1 ' 1 . 5 2 25 3 3 5 4 45 5

Time in carbon [10*sdc)

0 2 4 6 8 10 12 14 16

Time in c e r h It61bsec) Figure , 5

Non-equilibrated neutral fractions have 4- t

also been measured with H and H molecular ion

2 3

beams [18

1 .

Figure 5 shows f i r s t that proton cluster produce more neutrals per incident proton

than isolated protons of same velocity, a s previous- ly reported by Meggitt e t al. [191

.

In addition, We observe a non-equilibrium effect for two different regimes : for long dwell-time, a slow increase of the over production of neutrals, while for short dwell time, a n exponential increase.

We analyse the short dwell-time effect c o r - responding to the electron transmission regime by assuming that an H2 t molecule penetrating matter i s equivalent to two independent projectiles, one pro- ton and one neutral atom, without collective effects between the projectiles in the cluster. A similar picture is assumed f o r 'H projectiles (one proton

3

and two neutral atoms). Three results of such cal- culations a r e plotted on this figure for comparison with experimental data. We can conclude that the

role played by the projectile electrons i s confirmed and that they have essentially the same probability for losing their correlation with moving protons when they a r e injected a s atomic electrons or a s molecular electrons.

In contrast the analysis for long dwell- time reveals a cluster effect outside the solid which takes place just after emergence from the foil.

A target electron having gained correlation with a proton and which i s not captured by i t a t emergence has a supplementary probability to be captured by another proton of the same cluster to form a neutral atom. .This collective effect clearly depends on the distance separating the protons in a cluster a s i t emerges f r o m the foil.

In o r d e r to study more completely elec- tron capture processes involving projectile or t a r - get electrons we measured angular and energy dis- tributions of protons and neutrals emerging from

t t

thin carbon foils bombarded with H and H beams

2 3

of same velocity. With very thin foils, the distan- ce between the constituents in the cluster increases only slightly before emergence, therefore most of the repulsion, if any, takes places outside the t a r - get. Such measurements can provide more detailed

. ,

information on the physical state of the clusterwhen it emerges from the foil. The energy distributions of neutrals emerging at 0 0 .from carbon foils bom- barded with 2.4 MeV H

+

beams (figure 6 -b, c, d - f

2

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exhibit a sharp central peak and two lateral peaks for the 1 and 3.3pg/cm 2 thick foils. This structu- r e i s not observable for the thicker targets. The energy separation between the two outside peaks corresponds to a liberated internal energy which i s compatible with the formation at emergence of an unbound H

+

molecule i n the 2p a state leading

2 U

to the formation of a neutral atom in the ground state. Moreover the analysis of the widths of the angular distributions [ 181 confirms the role played by this repulsive state in the. production of neutrals which emerge after capture of a target electron.

The central peak which dominate,^ thinnest target spectra corresponds to neutrals which have experienced only a reduced repulsion. A central peak also dominates t h e angular distributions mea- sured with the thinnest foils [ I 8

3 .

These neutrals c a n originate from two proc.esses : either the H

+

partner has been scattered by a target atom, or they separated gently from each other dowstream the foil. To decide between these two processes, one can examine the distribution of protons (figure 6 a ) which exhibits also a small central peak bet- b e & the two Coulomb explosion peaks. A joint a,nalysis of proton and neutral energy distributions 'permits one to conclude that the f i r s t processes is mainly responsible for the central peak in the pro- lton distribution. In contrast the central peak in the neutral distributions corresponds to neutrals

resulting f r o m the dissociation of

-

H 2t molecules . which emerge i n the 1 s electronic ground sta-

g

te, but in a vibration-rotation state located in the continuum above the dissociation level. Thus the corresponding ion-solid interaction could be descri- bed a s a vibrational dissociation of a H tmolecule,

2

a process which has been observed for a long time with gas targets.

Experimental results obtained with H t 3 projectiles confirm the existence of the two disso- ciation channels. Figure 7

-

b, c , d

-

shows the ener- gy spectra of neutral atoms emerging a t 0 from 0

different foils. F o r the thickest foils where the neutrals a r e believed to a r i s e from target electron capture, one observes mainly two peaks, separated.

by

-

10 keV due to the repulsive dissociation of t

+

the unstable +'H molecule the into H

-

H

-

H 3

fragments. Two new peaks appear with the thinner targets and dominate i n the thinnest case.

Figure 7

Their energy separation reveals a reduced repul- sion from its two H t partners. We interpret the-.

s e two peaks a s resulting from a two-step process,:

the emerging cluster behaves like a dicluster con-, sisting of a bare proton plus a H molecule i n the t

2

I s u continuum state. This repulsive H t

g

-

H;

system needs a few 10 -15 sec. to liberate its ki- netic energy. Simultaneously the H2

+

molecuf-e undergoes a vibrational dissociation which takes much more time and which transfers no a d d i t i o b a l energy to the 'resulting H

-

H

+

pair. To t e s t this model we have compared the reduced energy sepa- ration with the energy separation resulting from the H + - H t repulsion. F o r that we measured the

2

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C1-348 JOURNAL DE PHYSIQUE

energy distribution of the bound H2 t molecules

0 t

emerging a t 0 f r o m foils bombarded with Hg beams. The agreement i s good enough to support the idea of the two-step process described here.

These observations suggest that transmit- ted electrons may occupy a molecular ground state a t emergence a s they did i n the incident projectile and thus these electrons would be i n a bound state inside the solid.

MOLECULAR TRANSMISS ION

The experiments described above concer- ned the formation of neutral atoms via different molecular states. Some years ago, bound H mo- t

2 lecular were discovered [20] among the particles transmitted through a carbon foil bombarded with a H beam. f Since, extensive studies of molecular

2 t

yields with H and H' beams i n the MeV range

2 3

through amorphous and crystal targets have been performed [ 21

3 .

The analysis of the experimental data indicates that two parameters govern the t r a n s - mission of H

+

ions through amorphous foils : the

2

cluster dwell-time which determines the mean in- terproton distance a t emergence and the neutral fraction

O .

F o r c r y s t a l targets, the channeling

0

conditions increase strongly the molecular yield due to a reduced t r a n s v e r s e repulsion which decrea- s e s the interproton separation a t emergence.

Molecular yields have been investigated by Brandt et al. [ 2 2 ] with a variery of ion clus- t e r s . The ordering of molecular yields has been interpreted by Brandt and Ritchie [ 8 ] in t e r m s of wake interferences : the leading and the trailing ions i n a dicluster oriented along their direction of motion could propagate together i n a lock-step mechanism.

MOLECULAR IONSTRUGTURE

A recent development i n the study of dis- sociation of f a s t molecular ions i n thin foils con- c e r n s the possibilities for obtaining molecular structure information. The f i r s t c a s e studied is

+ .

I

H3 ions [ 2 3 ] . Theoretical considerations pre- dicted two stable configurations, a triangular

structure (having a higher binding energy) and a collinear structure. This investigations was ini- tiated simultaneously a t Argonne, Rehovoth and Lyon. The measurements a t Lyon consisted of measuring the angular distributions of transmitted pairs of f r e e protons belonging to the same ion cluster and emerging in the same direction f r o m thin foils bombarded with H t projectiles. Agure 8

3

+ +

s h ow s such an angular distribution of H

-

H p a i r s exhibiting two peaks symmetrical around the beam axis. In order to emerge of axis a pair of protons has t o be aligned with the beam axis inside the foil and has to suffer a t r a n s v e r s e repulsion f r o m the third proton of the same cluster. This i s possible only for a triangular structure. Co- linear projectiles would produce a central peak of

+ + +

H

-

H

-

H events, which i s not observed. F r o m these distributions, one can also deduce the most probable interproton separation in the projectile.

A SINGLE U

I

Figure 8

Since these experiments, Gemmell e t al. [ 2 4 ] have reported measurements concerning

t t

CO and N 0 molecular ions. F r o m the energy

2 2

spectra of the dissociation fragments emerging i n the forward direction, they can infer that these two molecules a r e linear with structure 0 - C - 0 and N-N-0. In addition, and a s mentioned by the authors, the asymmetry i n population of the peaks i n the energy spectra of oxygen could be due to alignment resulting f r o m wake effects.

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CONCLUSION

The study of the penetration of f a s t light ions and m o l e c u l a r ions through thin foils gives a c c e s s t o new fundamental a s p e c t s of the i o n solid interaction. The hydrogenic b e a m s a r e particu-.

l a r l y convenient and i n t e r e s t i n g tools f o r such fun- damental studies. In addition, the dissociation of f a s t m o l e c u l a r ions opens up new possibilities f o r the. determination of m o l e c u l a r s t r u c t u r e .

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