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    524

    IEEE TRANSACTIONS ON PLASMA SCIENCE, VOL. 24, NO. 2, APRIL 1996

    LENS

    MIRROR

    CO2 L A s q

    TO PUMP

    ;P

    i

    APS

    Fig.

    1.

    Experimental setup, C

    =

    cathode,

    A =

    anode, 14

    =

    magnet, T H

    =

    thyristor switching circuitry, APS

    =

    arc power sup ply, and CP

    =

    capacitor.

    maximum power of 1MW. Vacuum

    lop4

    torr) was produced

    using mechanical and oil diffusion pumps, the pressure was

    kept constant throughout the study. The square arc current and

    voltage pulses were measured as a function of time using an

    oscilloscope. The mean velocity of the moving arc is measured

    by dividing the arc trace length by the arc duration time. The

    thyristor based electrical circuit used in this system allows

    to adjust the arc duration time between 100 ps and 14 ms

    over which a constant current

    was

    maintained (square current

    pulse). The arc spot was moved over the cathode surface in the

    retrograde direction by the influence of a permanent magnet

    positioned at the back of the cathode. The different magnetic

    field intensities oriented parallel to the cathode surface were

    adjusted by varying the distance between the magnet and

    the cathode. The erosion rate values in grams per coulombs

    were determined by weighting the cathode before and after

    the arcing using a microbalance, then dividing the weight

    difference by the total electric charge Q

    =

    [ I d t passing

    through the cathode. Experiments were performed at a constant

    total charge of 50 C for each cathode.

    Four different types of graphite materials were tested. Table

    I gives some important material properties of these cathodes.

    Three of these graphite are polycrystalline (ZXF-SQ, AXF-5Q

    and PS) with a given pore size, while PYROID graphite has

    no

    porosity. Velocity measurements were repeated three times

    for each type of graphite material to ensure reproducibility.

    Erosion rate measurements were made using a series of 2.5-5

    ms individual arc pulses with a current of 70 A. The number of

    pulses was adjusted to yield the total electric charge of 50 C.

    18

    16

    4

    2

    0.035 0.040 0.045

    0 050

    0.055

    0 060 0 065

    MAGNETIC

    FIELD

    INTENSITY, Tesla

    Fig. 2. Mean arc spot velocity as

    a

    function of magnetic field intensity

    parallel

    to the cathode surface for the four types of graphite described in

    Table

    I

    (lines correspond to linear fitting

    of

    the data).

    14

    12

    2

    AXF-SQ

    0 2 4 6

    8 10

    12 14

    16

    18

    ARC SPOT VELOCITY, mls

    Erosion rate of the four graphite materials of Fig. 2

    as a

    function

    of

    ig. 3.

    the

    mean

    arc spot velocity.

    spot velocity increasing with an increase in the magnetic field

    intensity for all cathodes used in this study. Very different arc

    spot velocities at the same magnetic field intensity can also

    be observed for the various types of graphite cathodes. The

    movement of the arc spot on graphite cathodes was shown

    to be very difficult compared to other metallic electrodes

    [9],

    requiring much stronger magnetic field values. The results of

    Fig. 2 indicate the choice of the type of graphite being used

    has strong effect on the arc spot behavior.

    111.

    RESULTS

    A. Effect of Magnetic Field Intensity on Arc

    Spot

    Velocity

    The mean arc spot velocity is given in Fig. 2 using the

    four different graphite cathode materials. One can see the arc

    B. Effect

    of

    Arc

    Spot

    Velocity on Er osion Rate

    Fig. 3 shows that for all the above-mentioned graphite

    cathodes, increasing the arc spot velocity has the effect of

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    KANDAH AND MEUNIER: EROSION STUDY ON GRAPHITE CATHODES

    525

    lo

    r

    -

    8

    w

    7

    z

    v

    z

    3 5

    6

    8 -

    4

    D l

    B4.04

    Tesla

    . XF-5Q

    AXF-JQ

    v

    3

    4 5 6 7 8 9

    10

    A R C SPO T V ELOC ITY ,

    m/s

    Fig. 4. Erosion rate of the four graphite types as a function of arc spot

    velocity at a constant magnetic

    field

    intensity of 0.04

    T.

    decreasing the net cathode erosion rate. This was to be

    expected, an increase in the arc spot velocity results in a

    decrease in the residence time of the spot on a given site of

    the cathode, hence a decrease of the localized heating of the

    surface. Such a decrease in the local heat load in the cathode

    spot zone was shown to reduce the amount and size of the

    macroparticles flux emitted by the spot

    [8].

    One can see again

    in Fig.

    3

    the various graphite cathodes leading to different

    erosion rate values whatever the spot velocity. Fig.

    4

    shows

    for a constant magnetic field intensity of 0.04 T the very

    surprising result that cathodes having higher spot velocities

    due to their surface characteristics give rise to the highest

    erosion rate. The materials in Fig.

    4

    follow the order of the list

    in Table

    I.

    Materials showing the highest erosion rate and spot

    velocity have the lowest electrical resistivity and pore sizes,

    and also the largest density. The behavior indicated by Fig.

    4

    may lead to very interesting and important consequences in

    view of deposition applications. It was shown previously

    [8]

    that a reduction of the local heat load delivered to a given

    site of the graphite cathode through a decrease of the arc

    residence time leads to a reduction in the number, the size,

    and the width of the size distributions of the emitted graphite

    macroparticles. Increasing the arc velocity through a judicious

    choice of the graphite material surface characteristics should

    possibly result in the same trend of reducing the macroparticle

    emissions. Fig. 4, however, indicates that the total erosion rate

    is increasing with increasing arc spot velocity for cathodes of

    specific types.

    C. Effecto Pore Size on Erosion Rate

    Increasing the pore size

    of

    the graphite material as shown

    in Fig. 5 results in a decrease of the erosion rate. This

    unexpected result can again be compared to the data reported

    by Kandah and Meunier

    [8],

    showing that an increase in the

    cathode pore size increases the number and size of the emitted

    macroparticles. This may indicate that an increase in the pore

    size of the cathode could lead to

    a

    decrease in the ion emission.

    3

    0.0 0 5

    1.0

    1.5

    PORE SIZE,

    pm

    Fig. 5.

    a

    constant magnetic

    field

    intensity

    of 0.04 T.

    Erosion rate as a function

    of

    pore size for the four graphite types at

    D.

    Cathode Morphology

    Figs.

    6

    and

    7

    show that under similar operating conditions,

    different graphite material properties lead to various spot

    movement behavior. Graphite electrodes are characterizedby a

    very dlifferent arc spot motion even at moderate magnetic field

    valuer; when compared to metallic electrodes. This is shown

    in the photograph of Fig. 6 giving the erosion traces over

    three graphite materials. One can see, however, that materials

    with low pore size tend to generate a more important random

    movement of the spots, in a way similar to metallic electrodes.

    The dlifferent behaviors on Figs. 6 andl7 are typical of the

    given materials.

    Fig.

    7

    shows arc traces when a magnetic field of

    0.04

    T is

    applied. These traces are the result of only one arc discharge

    on each cathode sample given. One can see the arc splitting

    into

    a

    multiple spot arc root at a current value somewhere

    between 110

    A

    and 160

    A

    for the PYRClID graphite. A higher

    current of 200 A, however, still results

    i m

    a single spot arc on

    the

    ZXF-5Q

    cathode. Again, this stresses the importance of

    the graphite cathode material properties on the cathode spot

    characteristics for this material.

    IV. DISCUSSION

    The

    erosion rate for carbon cathode measured by Kimblin

    [lo]

    is

    1.7

    x

    g/C. This value, however, is shown here to

    depend heavily on the cathode material characteristics. In this

    work attention was focused on the effect of different graphite

    material properties on the spot behavior and the erosion rate.

    One can see from Fig. 2 that arc spot velocity depends strongly

    on the surface properties of the different graphite cathodes.

    The order of the various graphite for decreasing spot velocity

    follows that of Table

    I

    for their structural and electrical

    properties. In the absence of any external disturbance on any

    continuous homogeneous metallic surface, an arc spot typically

    moveis randomly over the surface of the cathode

    [ll]

    [12]. If

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    526

    F-

    PS

    ZXP SQ

    1

    0 2

    la

    t = 2 d I= OA

    1.8 1650

    Fig. 6.

    graphite types at zero magnetic field intensity.

    Photographs showing the behavior

    of

    the arc spot over three different

    m w

    s

    the graphite vacuum arc encounters a discontinuity, such as

    a crack or a large pore, one might expect a relative low arc

    spot

    velocity will be observed due to the repetitive formation

    of craters in a limited area. As a consequence the local energy

    density on the surface would be increased and a deep crater

    formed, reducing the motion of the spot and increasing the

    erosion rate [SI.

    Two different parameters are used here to increase the

    graphite arc spot velocity, the external magnetic field, and

    the surface characteristics of the cathode. Each was shown

    to

    have different and opposite effect on the erosion rate. This

    work indicates that an increase in the arc spot velocity resulting

    from a change in the graphite cathode surface properties leads

    to an increase in the total erosion rate. A decrease of the

    arc residence time on a given site of the cathode was shown

    previously to result in a decrease of the emitted macroparticles

    [SI. Combining these two effects could eventually lead to

    an increase in the fraction of carbon ions emitted. Larger

    deposition rates in arc ion-plating systems together with lower

    macroparticles content in the films can thus

    be

    expected. An

    increase of the arc spot velocity induced

    by

    a change in the

    5 0.8 1.8

    1400

    5 1.2 1.33

    2900

    IEEE TRANSACTIONS ON PLASMA SCIENCE, VOL. 24, NO. 2, APRIL 1996

    PY

    I =

    I C

    Fig. 7. Photographs showing the behavior of the

    arc

    spot over three different

    graphite types at a magnetic field intensity

    of

    0.04T and different arc currents.

    Arc movement is downwards, with laser ignition at the top.

    TABLE

    I

    PROPERTIESF

    GRAPHITEATHODES

    SED N THIS

    WOR K

    ()Lohm.cm)

    PYROID eoom SpeddtyMinerals Inc. ZXF-SQ, AXI-5Q and PS fmm Po w Graphite

    Inc

    applied external magnetic field was shown here

    to

    reduce the

    total erosion rate. The shorter residence time of the arc spot

    on a given site should, however, also correspond to a decrease

    in the emitted macroparticles

    [SI.

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    KANDAH AND MEUNIER: EROSION STUDY ON GRAPHITE CATHODES 521

    v.

    CONCLUSION [9] M Kandah, Droplets generation mec ha.nisms by grap hite cathodes

    in the vacuum arc deposition technique, M.S. thesis, McGill Univ.,

    Montreal, Quebec, Canada, 1993.

    [ lo ] C .

    W

    Kimblin, Erosion and ionization in, the cathode spot regions of

    vacuumarcs,

    J.

    Appl. Phys. vol. 44, no. 7, pp. 3074-3081, 1973.

    Four graphite materials having various physical, mechan-

    ical, and electrical properties -reveal in this study different

    cathode spot behavior and erosion rate values. Erosion rate

    y Fang,

    spot

    velocity

    of

    vacuum arcs,3,

    J Phys D: Appl

    for these graphite materials are ranging from 1.02 x

    g/C

    .Phys. vol. 15, pp. 833-844, 1982.

    to

    1.24

    10-4

    g/c and strongly depend

    on

    the type

    of

    graphite

    [12]

    J. E.

    Daalder, Random walk

    of

    cathode arc spots in vacuum,

    J. Phys.

    ,D: ppl .

    Phys.

    vol. 16, pp. 17-27, 1983.

    and the arc spot velocity. Cathodes showing less surface dis-

    continuities, e.g., higher density and smaller pore sizes, show

    higher spot velocities and highier erosion rates. This should

    possibly lead also to

    a

    lower macroparticles emission from

    the cathode. In addition, these cathodes are expected to show

    a larger fraction of the total erosion rate transported by the

    ion flux. The trend toward higher spot velocities and erosion

    rates also correlates with a lower electrical resistivity of the

    graphite material at room temperature. For any given graphite

    structure, however, an increase in spot velocity induced by

    higher magnetic field intensity results in

    a

    reduction of the

    erosion rate.

    REFEREINCES

    [I] D. J. Page,

    Industriul Graphite Engineering Handbook

    UCAR Carbon

    Co.. Inc.. 1991.

    A.

    W

    Koch, A.

    W.

    Nurnberg, and R. Behrisch, Investigation of

    vacuum arcs on graohite cathodes. J.

    Nucl.

    Mat.. vols. 122 and 123 ,

    pp. 1437-1439, Ibs4.

    W. D. Davis and H. C. Miller, Analysis of the electrode products

    emitted by dc arcs in

    a

    vacuum ambient, J. Appl . Phys. vol. 40,

    no.

    5,

    pp. 2212-2221, Apr. 1969.

    A. A. Plyntto,

    V.

    N. R yzhkov,

    ancl

    A. T. Kapin, High speed streams in

    vacuum arcs,

    Sov. Phys.-JETP

    vol. 20,

    no.

    2, pp. 328-337, Feb. 1965.

    T.

    Utsumi, Measurements

    of

    cathode spot temperature in vacuum arcs,

    Appl .

    Phys. Lett.

    vol. 18, no. 6, pp. 218-220, Mar. 1971.

    Y. Y. Udris, Disintegration of materials by an arc cathode spot, Radio

    Eng. Electron Phys. vol. 8, no. 6, pp. 1050-1056, 1963.

    B.

    N Klyarfeld, N.

    A.

    Neretina, and N N. Druzhinina, Metal

    sputtering by the cathode spot of a vacuum arc, Sov. Phys.-Tech. Phys.

    vol. 14, no.

    6, pp . 796799, Dec. 1969.

    M. K andah and

    J.-L.

    Meunier, Study of microdroplets generation from

    vacuum arcs

    on

    graphite cathodes, J.

    Vac.

    Sci.

    Technol.

    A , vol. 13, no.

    5, pp. 2444-2450, Sept./Oct. 1995.

    Munther

    Kandah

    was born in Jordan on Jan-

    uary 21, 1964. He received the B.Eng. and M.Eng.

    degrees in chemical engineering from Yarm ouk Uni-

    versity, Jordan, in 1987, and McGill University,

    Montrkal, QuCbec, Canada, in 1993, respectively

    He is currently with the Chemical Engineering De-

    partment at McGill University pursuing the Ph D

    degree

    He worked in the Jordanian Army as

    a

    Chemical

    Engineer from 1988 lo 1990 and at the Jordan

    University of Science and Technology (JUST)

    as

    a Teaching and Research Assistant from 1990 to 1991 His research interests

    include diamond-like coatings using vacuum arc technology

    Jean-Luc

    Meunier

    (S83-M85) was

    bom

    in Acton

    Vale, Qutbec, Canada,

    on

    July

    2

    1956.

    He received

    the engine enng degree in physics at Ecole Polytech-

    nique FCdCrale de Lau smn e EPFL), Switzerland,

    in

    1981, and the M.Sc. and Ph.D. degrees

    in

    plasma

    physics from the Institut National de la Recherche

    Scientifique (INRS-Enrrgie) of Quebec, Canada, in

    1982 and 1986, respectively.

    He worked

    as a

    Resrarch Engineer at the Hydro-

    Quebec Research Institute (IREQ) from 1985 to

    1986, where his research and development areas

    included vacuum arcs, and plasma torch development and control. He then

    joined McGill University, Montreal, Qukbec, as a Research Associate from

    1986 to 1990 He is presently an Assistant Professor in the Chemical

    Engineering Department of McGill University, where he is engaged in

    teaching and research in the areas of thermal plasma and vacuum arc

    deposition