S. Chatain et C. Gonella, THERMODYNAMIC CONTRIBUTION IN THE STUDY OF A FREE COPPER AND GADOLINIUM ATOMIC MIXTURE BEAM PRODUCED BY ELECTRONIC BOMBARDMENT, Revue de métallurgie, 95(9), 1998, pp. 1141-1148
The evaporation of metals in vacuum by electron beam heating is suitab
le for large scale applications such as production of thin films for o
ptics or electronics, physical vapour deposition (PVD) or titanium ref
ining. Although, this technique is commonly used, the physics of an at
omic beam produced by electron beam heating has been little studied. I
n this paper, we have undertaken the study of the expansion of a binar
y metal vapour of copper-gadolinium. The use of liquid alloys needs th
e knowledge of accurate thermodynamic properties. Moreover, to study a
n alloy evaporation behaviour, that is to say to know the vapour compo
sition for a given source temperature, the activity values are essenti
al. Since the gadolinium vapour pressure is much less than that of cop
per (at T = 1443 K, P-(Cu)degrees = 0.302 Pa and P-(Gd)degrees = 0.001
Pa), we have only measured the activity of Cu for a gadolinium conten
t X-Gd ranging from 0.276 to 0.844 (atomic composition), and for a tem
perature range from 1282 to 1644 K using a multiple effusive cell coup
led to a quadrupole mass spectrometer. For each composition, the exper
imental activities referred to the pure liquid Cu are fitted and expre
ssed as In(a(Cu)) = (A +/- delta A) + (B +/- delta B)/T. From these ex
perimental results, the gadolinium activity in each alloy can then be
calculated through an integration of the Gibbs-Duhem relation :Sigma x
(i) dln a(i) = 0. To compute the gadolinium activity we use a Margules
' polynomial development for the Cu partial molar excess Gibbs energy
: Delta G(Cu)(ex) = RTln(a(Cu)/x(Cu)) = A(T)(1 - x(Cu))(2) + B(T)(1 -
x(Cu))(3). An integration of the Gibbs-Duhem equation yields :Delta G(
Gd)(ex) = RTln(a(Gd)/x(Gd)) = (A(T) + (3/2)B(T))(1 - x(Gd))(2)-B(T)(1-
x(Gd))(3). The coefficients A and B are linear versus temperature. Fro
m these measurements, we have determined the liquidus curve in Cu-rich
region, the eutectic composition at T = 1133 K and the free enthalpie
s of formation of CuGd between 948 and 1103 K and of Cu2Gd between 104
3 and 1133 K. If can be noticed that they fairly agree as well with pr
evious calculations (activities and Gibbs energies of formation of int
ermetallic compounds), than with experimental results (Delta H-m) at l
ower temperature which allow us to extrapolate the activities at high
temperatures for the electronic bombardment study. The atomic vapour i
s produced by an 11 kV electron beam with 15 kW maximum power. With ou
r experimental set up, we can measure the atomic beam characteristics
such as the net mass flow rate by the weight loss of the ingot during
the evaporation, angular flux distribution of the atoms in binary beam
vapour by deposition pastilles and chemical analysis and radial veloc
ity for each compound present in the vapour in vertical axis by time-o
f-flight method. These experimental data are compared with those compu
ted with a test-particle Monte-Carlo (PTMC) code including an inelasti
c collision algorithm that accounts for electronic-translational energ
y transfers. It has been shown that the translational velocities of so
me atoms evaporated by electron beam impact are larger than those pred
icted by an adiabatic expansion. It is now well known that these monoa
tomic atoms have several low energy metastable levels. At the evaporat
ion surface temperature, these thermally populated levels are an inter
nal electronic energy reservoir. When inelastic atomic collisions occu
r, part of this internal energy is converted into translational energy
and increases the atomic velocity. In our evaporation surface tempera
ture, only the Gd metastable levels are populated. The first metastabl
e state of copper is located at 11202.565 cm(-1) and is not populated
at the temperature reached at the evaporating surface, conversely Gd a
toms have many low lying metastable levels (215 cm(-1), 533 cm(-1)) wh
ich are populated. We studied experimentally the vapour characteristic
s for several ingot compositions (29 at %, 50 at %, 70 at %, 80 at %)
in a 1100 W-3300 W gun power range. From the measurements of the atomi
c beam vapour characteristics, we put in evidence some essential pheno
mena related to expansion of metal alloy produced by electron beam bom
bardment The first one is the narrowing of the angular flux distributi
on of Gd with the Cu present and conversely a broadening of the Cu dis
tribution with increasing Gd concentration. The second aerodynamic phe
nomenon is the increase in the velocity of the heavier element (Gd) at
oms on addition of the lighter(Cu), a phenomenon which increases with
the concentration of the latter The simulations are in good agreement
with the experimental values.