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Energy of Reactions in Atmospheric-Pressure Plasma Polymerization with Inert Carrier Gas Bernard Nisol, Herv e Gagnon, Sophie Lerouge, Michael R. Wertheimer* A large reactor for performing dielectric barrier discharges (DBD) experiments at atmospheric pressure (AP) has been built and tested. The area of electrodes is more than 40 times greater than that of a small DBD cell, in which we have perfected a method formeasuring E g , the energy dissipated per cycle of the applied a.c. high voltage, V a (f). This methodology has been successfully applied to plasma polymerization experiments on the larger system, using volatile organic precursors (dopants) at concentrations in 10 standard liters per minute of argon (Ar). We measured DE g , the energy difference with and without dopant, for V a (f) 3 kV rms (20 f 40 kHz). From DE g we then derived E tot /N, the energy per molecule, and observed surprisingly good agreement with data published in the literature relating to low- pressure (LP) plasmas. 1. Introduction The literature regarding deposition of thin organic films for practical uses by plasma-enhanced chemical vapor depo- sition (PECVD), also known as plasma polymerization (PP), goes back at least to the early 1960s. [1] During intervening decades, literally thousands of articles devoted to this subject have been published worldwide, as well as numerous monographs. [2,3] While earlier literature almost exclusively dealt with high-frequency (h.f.: radiofrequency, r.f., or microwave) glow-discharge plasmas sustained at reduced pressure, typically near 100 mTorr (13.3 Pa), there has more recently been growing interest in PP based on gas discharges at atmospheric pressure (AP). [4–12] Dielectric barrier discharges (DBD) constitute the main approach that enables scale-up for industrial processing; of course, AP plasmas obviate the need for expensive vacuum systems, and they can, thereby, potentially reduce costs very significantly. DBD plasmas may be obtained in gaps between two electrode surfaces at least one of which is covered by a dielectric. They are non-equilibrium (cold) plasmas, useful in numerous plasma-chemical reactions beside PECVD, such as ozone synthesis, surface modifica- tion of polymers, abatement of pollutants, excimer lamps, and others. [13] In the PP literature, there has long been an interest in correlating deposition kinetics, physico-chemical and structural properties of films with energy absorbed by the organic precursor (so-called monomer) molecules in the plasma. Indeed, this often controversial subject has been the object of a series of debates in this journal; [14] Hegemann and coworkers [15–17] developed an original approach toward the macroscopic phenomenology of PP, one which leads to an unifying dependence of the mass deposition rate per unit of monomer flow, R m /F, on the macroscopic reaction parameter W/F (W being power input), by way of a quasi-Arrhenius expression R m =F ¼ G exp½E a =ðW=FÞ ð1Þ where E a is an apparent activation energy, and G a reactor- and process-dependent factor related to the maximum B. Nisol, H. Gagnon, M. R. Wertheimer Groupe des Couches Minces (GCM) and Department of Engineering Physics, Polytechnique Montr eal, Box 6079, Station Centre-Ville, Montreal, QC, Canada H3C 3A7 E-mail: [email protected] S. Lerouge Research Centre, Centre Hospitalier de l’Universit e de Montr eal (CRCHUM), and Department of Mechanical Engineering, Ecole de technologie sup erieure ( ETS), Montr eal, QC, Canada Full Paper Plasma Process. Polym. 2015, DOI: 10.1002/ppap.201500068 ß 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim 1 DOI: 10.1002/ppap.201500068 wileyonlinelibrary.com Early View Publication; these are NOT the final page numbers, use DOI for citation !! R
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Full Paper

Energy of Reactions in Atmospheric-PressurePlasma Polymerization with Inert Carrier Gas

Bernard Nisol, Herv�e Gagnon, Sophie Lerouge, Michael R. Wertheimer*

A large reactor for performing dielectric barrier dis

charges (DBD) experiments at atmosphericpressure (AP) has been built and tested. The area of electrodes is more than 40 times greaterthan that of a small DBD cell, in which we have perfected a method formeasuring Eg, theenergy dissipated per cycle of the applied a.c. high voltage, Va(f). This methodology has beensuccessfully applied to plasma polymerization experiments on the larger system, usingvolatile organic precursors (dopants) at ‰ concentrations in 10 standard liters per minuteof argon (Ar). We measured DEg, the energy difference with and without dopant, for Va(f)� 3kVrms (20� f� 40 kHz). From DEg we thenderived Etot/N, the energy per molecule, andobserved surprisingly good agreement with datapublished in the literature relating to low-pressure (LP) plasmas.

B. Nisol, H. Gagnon, M. R. WertheimerGroupe des Couches Minces (GCM) and Department ofEngineering Physics, Polytechnique Montr�eal, Box 6079, StationCentre-Ville, Montreal, QC, Canada H3C 3A7E-mail: [email protected]. LerougeResearch Centre, Centre Hospitalier de l’Universit�e de Montr�eal(CRCHUM), and Department of Mechanical Engineering, �Ecole detechnologie sup�erieure (�ETS), Montr�eal, QC, Canada

Plasma Process. Polym. 2015, DOI: 10.1002/ppap.201500068

� 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim wileyonlinelibrary.c

Early View Publication; these are NOT th

mas obviate the need for expensive vacuum systems,

1. Introduction

The literature regarding deposition of thin organic films for

practical uses by plasma-enhanced chemical vapor depo-

sition (PECVD), also known as plasma polymerization (PP),

goes back at least to the early 1960s.[1] During intervening

decades, literally thousands of articles devoted to this

subject have been published worldwide, as well as

numerous monographs.[2,3] While earlier literature almost

exclusively dealtwith high-frequency (h.f.: radiofrequency,

r.f., or microwave) glow-discharge plasmas sustained at

reduced pressure, typically near 100mTorr (13.3 Pa), there

hasmore recently been growing interest in PP based on gas

discharges at atmospheric pressure (AP).[4–12] Dielectric

barrier discharges (DBD) constitute themain approach that

enables scale-up for industrial processing; of course, AP

plas

and they can, thereby, potentially reduce costs very

significantly. DBD plasmas may be obtained in gaps

between two electrode surfaces at least one of which is

covered by a dielectric. They are non-equilibrium (cold)

plasmas, useful in numerous plasma-chemical reactions

beside PECVD, such as ozone synthesis, surface modifica-

tion of polymers, abatement of pollutants, excimer lamps,

and others.[13]

In the PP literature, there has long been an interest in

correlating deposition kinetics, physico-chemical and

structural properties of films with energy absorbed by

the organic precursor (so-called monomer) molecules in

the plasma. Indeed, this often controversial subject has

been the object of a series of debates in this journal;[14]

Hegemann and coworkers[15–17] developed an original

approach toward the macroscopic phenomenology of PP,

one which leads to an unifying dependence of the mass

deposition rate per unit of monomer flow, Rm/F, on the

macroscopic reaction parameter W/F (W being power

input), by way of a quasi-Arrhenius expression

o

e

Rm=F ¼ G exp½�Ea=ðW=FÞ� ð1Þ

where Ea is an apparent activation energy, and G a reactor-

and process-dependent factor related to the maximum

1DOI: 10.1002/ppap.201500068m

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B. Nisol, H. Gagnon, S. Lerouge, M. R. Wertheimer

2

REa

monomerconversion intofilmgrowth.W/F, proportional tothe average energy transferred per monomer molecule

during its travel through the active plasma zone, governs

the formation of reactive intermediates. It was originally

knownas theBeckerparameter,[18] or since the late1970sas

the Yasuda parameter,[2,19] W/FM (energy per mass of

monomer), M being molecular mass of the monomer. The

use of Equation (1) in plots ofRm/F versusW/F allows one to

identify different regimes in the PP process, usually leading

to films with differing structures and characteristics. An

important motivation of Hegemann’s work has been to

develop their macroscopic approach to facilitate reactor

scale-up, and to permit comparison of data from different

laboratories.

Implementation of the concepts just described is

relatively straightforward in the case of h.f. low-

pressure PP, for the following reasons; (i) usually, the

monomer is introduced into the plasma reactor undi-

luted, although Hegemann and coworkers have shown

how their method can be used also for mixtures

including a second (reactive, but non-polymerizing)

gas;[15,16] (ii) while not simple and unambiguous, it is

often possible to measure power absorbed in h.f.

plasmas with reasonable precision. Now, in the case

of AP discharges, particularly for PP reactions, neither of

these generally apply:

(i)

Plasm

� 20

rly

First, AP PP processes necessarily use a flow of carrier

gas, wherein that of the monomer is generally

highly diluted (typically in the parts per thousand,

‰, range);

(ii)

regarding power measurements in AP plasmas, the

present authors have strong reasons to believe that

such measurements are far from being simple,

certainly not those involving AP DBDs. For example,

many workers use Q–V plots, also known as Lissajous

figures;[8,9,20–22] first introduced by Manley in

1943,[21,23] this technique is now known to require

considerable caution.

Figure 1. (a) Scale drawing of the DBD reactor and (b) photographic image of the overallsystem. The two high-voltage electrodes are encased in poly(dimethylsiloxane) (PDMS).In thecenter,onenotes thethree injectionportsof the feed-gasdiffuser.Theglass-coveredgrounded electrode platen is mounted on a back-and-forth conveyor mechanism.

Although various authors have pro-

posed and attempted to use the

Yasuda parameter in the context of AP

DBD PP,[8–11,24] combined complications

(i) and (ii) above have so far presented

major obstacles, often apparently unbe-

knownst to those authors. Recently,

this laboratory has developed a precise

method for measuring the energy, Eg,dissipated per cycle of the applied

(multi-kHz) a.c. voltage in noble gas

AP DBD.[25,26] Resulting data were

found to be trustworthy, based on

objective assessment criteria discussed

a Process. Polym. 2015, DOI: 10.1002/ppap.201500068

15 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

View Publication; these are NOT the final pag

elsewhere[26] and later in this text. The objectives of

research reported here have been twofold:

1.

e

to investigate whether the methodology[25,26] can be

transferred from a small DBD reactor, designed primar-

ily for plasma diagnostics, to a much larger (pilot-scale)

reactor designed for PECVD, particularly for PP;

2.

to investigate whether Eg measurements can yield

specific information about PP reactions, even when

monomer flow constitutes only a few‰ (or less) of total

feed gas flow into the DBD reaction zone, the major

portion being many standard liters per minute (slm) of

inert (argon, Ar) carrier gas.

We start by describing the experimental apparatus and

methodology for measuring Eg, then present and discuss

experimental results.

2. Experimental Section

2.1. DBD Plasma Reactor

Figure 1a presents a scale drawing of the DBD reactor, namely the

high-voltage (HV) electrodes, consisting of polished aluminum

plates (180�60�1.75mm3) (A), the top (3.50�0.05mm thick)

Macor, (B) and bottom (3.00� 0.02mm thick) glass, (C) dielectric

barriers; the lower, moveable grounded electrode platen (D); the

discharge gap, (E), between (B) and (C), typically 2mm; from the

above data, the plasma volume can be evaluated at v¼ 43.2 cm3.

The feed gas injector, also fabricated from machinable ceramic

(Macor, F). This 240�30�12.7mm3 gas diffuser, is provided with

ؼ 6.35mm channels to allow injection from the top as well as

from the sides. On the bottom, 22 holes (ؼ3mm) permit

homogeneous distribution of the feed gas across the ca. 20 cm

width of the moving substrate.

This assembly is new, but other parts of the overall system

(see Figure 1b) have been described earlier;[7,27] for the sake of

brevity, the reader is, therefore, kindly referred to those articles

for details.

DOI: 10.1002/ppap.201500068

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Figure 2. Equivalent electrical circuit diagram; the portion in the dashed rectanglerepresents the discharge cell. Rm¼ 50Ω; see text for further details.

Energy of Reactions in Atmospheric-Pressure Plasma Polymerization with Inert Carrier Gas

It is important, however, to briefly describe the

electrical system:

Theupperelectrodes (A)wereconnectedtoaHV

power supply, comprising a variable-frequency

a.c. generator (1Hz to >50kHz, Hewlett-Packard

3310A), a power amplifier (QSC Ltd., Model

RMX2450), an HV transformer (Enercon, Model

LM2727-03), and an impedance matching unit.

The a.c. power supply voltage, Vps(t), was moni-

toredbymeansofanHVprobe (TektronixP6015A).

The lower electrode (D) was connected to ground

via a 50Ω precision resistor, which served to

measure the discharge current pulse amplitude

and shape. The discharge behavior was exam-

ined at applied HV a.c. frequencies, f, rangingbetween ca. 1 and 50 kHz, voltage and current

signals all being synchronously displayed using

a digital storage oscilloscope (Instek GDS-2204A,

200MHz). In turn, these data were transmitted and acquired in

real time by USB link on a PC, where they were post processed by

MATLAB code (see below) in order to calculate the true voltage

across the gas gap, Vgap, the discharge current, Id, and the energy

per cycle, Eg.[26]

2.2. Equivalent Circuit Model and Computation of

Energy, Eg

Figure 2 presents the equivalent electrical circuit model for the

entire experimental set-up, while the portion inside the dashed

rectangle corresponds only to the DBD cell.

Figure 3. Measured characteristics (amplitude and phase) of the DBD cell, as afunction of frequency, f, of the applied a.c. voltage in the absence of discharges. Thecontinuous curve through the data points represents the best fit to the presentedequivalent circuit model. Notice that deviations in phase angle are at most 18.

Vps and Vm correspond to the voltage signals,

respectively, measured by the aforementioned

high- and low-voltage probes. Rm is a precision

50Ω resistor. Zd is a non-linear variable impe-

dance; its value, although unknown with preci-

sion, tends toward zero during discharges and

toward infinity between discharges. Parameters

C1,C2,Cdie,Cgap, andRwerederivedfromaseparate

set of nominally identical Vps and Vm measure-

ments, but obtained when the cell was open to

atmospheric air and, therefore,nodischargeswere

present. From these Vps and Vm measurements,

Im¼Vm/Rm and Zeq¼Vps/Im were calculated.

These sets of Vps and Vm measurements in air

without dischargeswere repeated for frequencies,

f, varyingfrom0.5upto40kHz.Theamplitudeand

phase of Zeq, when plotted as a function of f for atypical scenario, follow the theoretical response

corresponding to the model described in Figure 2

over the entire range of f. Figure 3 shows a

graphical comparison with experimental data

points, the best fit obtained from the equivalent

C1, C2, Cdie, Cgap, and R model being quite

satisfactory (notice that deviations in phase angle

are at most 18).Since in this model, capacitors C2, Cdie, and

Cgap can be replaced by an equivalent capacitor

Ceq ¼ C2 þ CdieCgap=Cdie þ Cgap, their values

Plasma Process. Polym. 2015, DOI: 10.1002/ppap.201500068

� 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Early View Publication; these are NO

cannot be unambiguously determined from the fitted model.

Fortunately, knowing the dimensions of the dielectrics, the gap

spacing,d, and the relativepermittivityK0 of thedielectricmaterials,

Cdie andCgap canbecalculatedusingthe formulaC ¼ e0K0A=d,where

A and d, respectively, represent the area of the dielectrics and

the distance between them. C2 can then readily be evaluated from

Ceq. For a 2mm gap, values of the parameters are C1¼ 3.30pF,

C2¼31.6pF, Cdie¼253.8 pF, Cgap¼ 95.6pF, and R¼16.9MV.

By applyingKirchhoff’s laws to theequivalent circuit in Figure2,

we can derive the electrical energy dissipated in the gas discharge

per cycle, Eg:

T the

Eg ¼RVgapIddt

n ð2Þ

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B. Nisol, H. Gagnon, S. Lerouge, M. R. Wertheimer

4

REa

Here n is the number of complete cycles at the

applied voltage frequency. The interested reader

can find more details in ref.[26] The above

calculations were performed in MATLAB in the

frequency domain using Fast-Fourier Transform

(FFT) and inverse FFT whenever appropriate. To

limit numerical instabilities, the DC component

and any frequency components greater than 25

times the applied voltage frequency Vps were

removed from all signals. The length of all

recorded signals was truncated to the nearest

number of complete cycles n in order to limit FFT

tapering effects. The typical number of complete

cycles per frame varied from 2 to 5 depending on

the frequency selected for data acquisition. Data

frames were then accumulated over 60 s.

Figure 4. Plots of Eg versusVa (rms) for pure Ar (F¼ 10 slm) DBD plasmas at 20, 30, and40 kHz.

2.3. Experiments with Gas Mixtures,

Including Plasma Polymerization

All experiments were carried out with argon as

carrier gas (Ar, 99.9þ%purity,Air LiquideCanada,

Ltd.,Montreal). Unless otherwise specified, the Ar

flowwas set to 10 standard liters per minute (slm), controlled by a

rotameter-type flowmeter (Matheson, model 7642H, tube 605).

For some experiments, a small amount of additive (dopant, in the

‰ range) gaswasadded to theAr carrier gasflow, throughamixing

chamber placed upstream from the gas diffuser (F in Figure 1a).

The flows of dopant gases, several of them precursors for possible

PP reactions, were measured and controlled by an electronic

mass flow meter (MKS, type 1259B, 0–100 sccm) and MKS

power supply (model 247B). All additive (dopant) gases were of

99þ% purity (Air Liquide).

In this present research, PP experiments were not the primary

objective, but some deposition trialswere nevertheless carried out.

In order to evaluate deposition rate, 5 cm� 5 cm, 125mm-thick

Kapton polyimide substrates were placed on the glass plate (C).

After a coating run, the substrates were weighed using a precision

balance (Sartorius,model BL210S, 0.1mg accuracy), and theweight

of the bare Kapton was subtracted. Deposit thickness was

measured using a Mitutoyo Digimatic Indicator (Type ID-130ME,

1mm accuracy) thickness gauge, which then also enabled

determination of the deposit’s density.

3. Results and Discussion

3.1. Energy Absorbed by the DBD Plasma, Eg

Figure 4 shows plots of the energy, Eg, absorbed by the AP

DBDplasma,determinedusing themethodof Section2.2.Egmeasurements at three different applied a.c. frequencies,

f¼ 20, 30, and 40 kHz, are all seen to have risen quasi-

linearly with increasing applied voltage, Va, between ca.

1 400 and 3 400Vrms. The apparently anomalous behavior

at 20 kHz is real and can tentatively be attributed to a

change in discharge regime of the type described by Becker

Plasma Process. Polym. 2015, DOI: 10.1002/ppap.201500068

� 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

rly View Publication; these are NOT the final pag

et al.[28] In the present Va range, Eg values are seen to have

risen from ca. 500 to 2 200mJ per period. For comparison, in

our much smaller (A¼ 5.1 cm2, gap width d¼ 0.5mm;

v¼ 0.25 cm3) DBD cell,[26] of 173� smaller volume com-

pared with the inter-electrode space shown in Figure 1a,

we found Eg¼ 9mJ per period at Va¼ 955Vrms. Calculating

and comparing values of Eg/v, the energy density, in

the two DBD cells at comparable electric field values,

Va/d� 1.9� 104V cm�1, we find values Eg/v¼ 36 and

56mJ cm�3, respectively, for the small and large DBD cells.

Considering that they were equipped with different sets

of dielectric barrier materials[26] (alumina/alumina and

Macor/glass, respectively), the agreement is considered

satisfactory. This demonstrates the feasibility of trans-

ferring information from a small laboratory-scale to a

much larger reactor, for example when planning scale-up

to an industrial reactor system.

In Figure 5a and b, we respectively reproduce the

curves for 20 and 40 kHz from Figure 4, but now with

further sets of data (lower curves) corresponding to the

addition of 20 sccm (2‰) of acetylene into the 10 slm flow

of Ar carrier gas. For sufficiently high values of Va

[�2 400Vrms in (a)], one notices near-constant gaps, DEg,between the upper (pure) and lower (doped) branches.

Before further investigating the physical interpretation

of DEg, it is useful to calculate the average residence

time of a particle in the plasma zone, t0 ¼ v/F� 0.26 s

(v, the plasma volume¼ 43.2 cm3, and F the 10 slm

flow¼ 167 cm3 � s�1); since the duration of one cycle at

f¼ 20 kHz is t¼ 5� 10�5 s, the average particle experi-

ences t0/t� 5.2� 103 applied voltage cycles during its

residence time in the plasma. Of course, the total energy

DOI: 10.1002/ppap.201500068

e numbers, use DOI for citation !!

Figure 5. Comparison of Eg versus Va (rms) between pure Ar (F¼ 10 slm, upper curve)and acetylene-doped Ar (Fd¼ 20 sccm, lower curve) DBD plasmas at 20 kHz (a) and40 kHz (b).

Energy of Reactions in Atmospheric-Pressure Plasma Polymerization with Inert Carrier Gas

absorbed by the plasma during that time interval is

Etot¼ 5.2� 103 Eg.In order to clarify the significance of DEg, we next

measured Eg at fixedVa¼ 2.8 kVrms, and f¼ 20 kHz, but now

varying theconcentrationof theaddedreagent (dopant)gas

flow, Fd. This was done not only for C2H2 reagent, but also

for other hydrocarbons (CH4, C2H6, C2H4), as well as for two

permanent gases, O2 and N2. The results of these measure-

ments are shown in Figure 6a for O2 and N2, and in

Figure6bfor thehydrocarbons.Clearly, amonotonicdecline

in Eg is observed in Figure 6a, while all the hydrocarbons

(Figure 6b) manifest the same behavior that differs from

Plasma Process. Polym. 2015, DOI: 10.1002/ppap.201500068

� 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Early View Publication; these are NOT the final p

that of O2 and N2, namely a sharp, near-

linear drop in Eg with rising Fd, followed by

plateaus commencing at different well-

defined critical values, (Fd)crit. Our tentativehypothesis is the following: DEg is the

amount given up by the ‘‘reservoir’’ of

energy stored in the flow of (excited) Ar

atoms to the added dopant molecules,

the presumed dominant mechanism being

Penning transfer during collisions. The

lowest energy of metastable [Ar(4s3P2)] Ar

atoms is 11.55 eV. The observed monotonic

rise in DEg for O2 and N2, therefore, appears

logical. It is useful to briefly justify the

term ‘‘reservoir’’ used above, in view of

the very short (ca. 100 ns) lifetime of Ar: theduration of the current peaks in Ar DBD is

quite long, a sizeable fraction (ca. 65%) of the

a.c. half-period. Therefore, we believe that

Ar are constantly replenished and that a

quasi-steady-state concentration of Ar

exists during the two current peaks of each

voltage cycle.

Tentative interpretation for the different

hydrocarbon curves is the following: for

Fd< (Fd)crit, all molecules undergo reaction

during their residence time in the plasma

zone. (Fd)crit corresponds to the concentra-

tion in Ar at which Etot¼ 5.2� 103 Eg still

suffices for total reaction of all reagent

molecules: at higher Fd, this is no longer

the case, and a certain fraction may escape

without reacting (completely), or by con-

suming energy via a different set of

channels.

To further test that hypothetical inter-

pretation, we now plot (Figure 7) values

of DEg, the energy difference (per cycle)

between the case of pure Ar (�1 600mJ, see

Figure 6b) and Ar with Fd of C2H2 additive

(dopant), versus Fd, corresponding to f¼ 20, 30, and 40 kHz. We calculate the

energy consumed per molecule under the presumed

condition where all C2H2 molecules just appear to have

been converted in the plasma, namely at the very

beginning of the plateau regions in Figure 7, correspond-

ing to (Fd)crit. For the case of 20 kHz, and during a 1 s

time interval, the total energy absorbed by the C2H2

molecules, Etot, is

Etot ¼ DEg � f ffi 600mJ

cycle� 20� 103 cycles

Etot ¼ 12J� 6:24� 1018eV

J¼ 7:49� 1019eV

ð3Þ

5www.plasma-polymers.org

age numbers, use DOI for citation !! R

Figure 6. Plots of Eg versus dopant gas flow, Fd, for Ar (F¼ 10 slm)DBD plasmas doped with (a) permanent diatomic gases, O2 andN2; and (b) hydrocarbons. The frequency was f¼ 20 kHz and theapplied voltage, Va¼ 2.8 kVrms.

Figure 7. Plots of absorbed energy difference, DEg, versus C2H2dopant flow, Fd, for Ar (F¼ 10 slm) DBD plasmas at 20, 30, and40 kHz. The applied voltage, Va, was 2.8 kVrms.

B. Nisol, H. Gagnon, S. Lerouge, M. R. Wertheimer

6

REa

Figure 7 shows that the plateau is reached at (Fd)crit¼20 sccm; the corresponding number of molecules, N,entering into the discharge zone is, at 295K

Table 1. Calculated values of energy-per-molecule forhydrocarbons at their respective (Fd)crit values. For the cases ofO2 and N2, calculations correspond to Fd¼ 100 sccm.

Dopant DEg Fd Etot/N

Plasma

� 2015

rly V

N ¼ 20� 10�3 L

min� 1mol

24L� 6:022� 1023

molec

mol

¼ 5� 1020molec

min

gas (eV) (sccm) (eV/molec)

or, for the 1 s time interval

CH4 250 7 10.7

C2H6 350 10 10.5

N ¼ 8:3� 1018

molec

sð4Þ

C2H4 450 10 13.5

C2H2 600 20 9.0

Therefore, energy consumed per molecule is, from (3)

and (4):

O2 600 100 1.8

N2 400 100 1.2

EtotN ¼ 7:49� 1019=8:3� 1018 ¼ 9:0

eV

molecð5Þ

Process. Polym. 2015, DOI: 10.1002/ppap.201500068

WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

iew Publication; these are NOT the final pag

From Figure 7, we note that for f¼ 30 and 40 kHz,

(Fd)crit�30 and�40 sccm, respectively; therefore, the value

Etot/N¼9.0 eVmolec�1 appears to have remained constant

for all three conditions. This tends to confirm the totalconversion hypothesis proposed above.

Similar calculations have been carried out for the other

hydrocarbons, also at f¼ 20 kHz (see Figure 6b), and for

O2 and N2. The results are listed in Table 1.

The relatively high energies for the hydrocarbon

molecules, close to that of the lowest Ar metastable state,

bear witness to substantial fragmentation, considering

that C–C (�3.6 eV), C55C (�6.2 eV), and C������C (�8.7 eV) bond-

breakages all occur below those values. Figure 6a shows

that, unlike the hydrocarbons, the two permanent gases,

O2 and N2, displayed no plateaus. At Fd¼ 100 sccm, the

corresponding respective values of Etot/N were 1.8 and

1.2 eV. Since dissociation energies of O2 and N2 molecules

are respectively 9.80 and 5.04 eV, the values in Table 1

DOI: 10.1002/ppap.201500068

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Energy of Reactions in Atmospheric-Pressure Plasma Polymerization with Inert Carrier Gas

suggest that these additive gases underwent primarily ro-

vibrational excitation in the plasma.

Further evidence that confirms the total conversioninterpretation above comes from the following experi-

ment that was performed with Fb¼ 20 sccm C2H2 in

F¼ 10 slm Ar (i.e., 2 ‰ concentration) in the reactor

under static conditions, for total durations of 10min:

Figure 8a and b shows layers of plasma-polymerized

acetylene, PPA (whitish rectangular regions just left-of-

center in the photographs, evidently after the substrate

platen had been moved to the left) deposited at f¼ 40

and 20 kHz, respectively. It should be stressed that these

PPA deposits were not high-quality thin films, but porous

and powdery in nature.[29] From Figure 7, we note that

Fd (¼20 sccm)< (Fd)crit at 40 kHz, but � (Fd)crit at 20 kHz.

We further note that C2H2 is well-known to be the most

reactive of the light hydrocarbon monomers; and the

deposit width in Figure 6a is significantly less than that of

Figure 8. Thick PPA deposits generated in Ar (F¼ 10 slm)/acetylene (Fd¼ 20 sccm) DBD plasmas at 40 (a) and 20 kHz (b).The applied voltage, Va, was 2.8 kVrms and the deposition time10min. The substrates were stationary during deposition, thegrounded electrode platen only being moved afterward foracquisition of these photographs.

Plasma Process. Polym. 2015, DOI: 10.1002/ppap.201500068

� 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Early View Publication; these are NO

the electrode (6 cm), while that in 6b well matches the

electrode width.

Theobvious conclusion is that theaddedC2H2was totallyconsumed in the leftward flow of feed gas (to form PPA

deposit) in Figure 6a, between the center of the gas injector

(extreme right-hand side of the whitish deposit) and its

irregularly shaped left-hand extremity. Of course, the

mirror image situation occurred on the right-hand side of

the DBD reactor.

Using 5 cm� 5 cm, 125mm-thick Kapton polyimide

substrates, we performed a long-duration (40min) depo-

sition of PPA at 20 kHz with 40 sccm of C2H2. The samples

were then weighed, the weight of bare Kapton being

subtracted, we found close to 16.7mg of solid deposit.

Normalizing this with respect to the total coated area, the

total mass of deposit (288mg) and of C2H2 monomer

injected (ca. 1.7 g), we deduced a gas-to-solid conversion

efficiency close to 17%. However, this was clearly an

underestimate, because fine powder deposits, entrained

in the exiting 10 slm gas flow, were later encountered in

substantial quantities elsewhere in thePlexiglass enclosure

(see Figure 1b). The deposit thickness was found to be

ca. 40mm, from which the approximate density of the PPA

was calculated. The value, r¼ 0.17 g cm�3, confirms the

porous, powdery nature of the coating.

Discussion and Conclusions

Evidently, this DBD reactor systemwas not intended for

the purpose of depositing poor-quality PECVD coatings like

the PPA layers discussed above, quite the contrary: To

repeat theobjectives stated in the Introduction, the researchwe report here has served

1.

T t

to investigate whether methodology developed ear-

lier[25,26] can be transferred from the small DBD cell,

designed for plasma diagnostics, to this much larger

PECVD reactor;

2.

to investigate whether Eg measurements can yield

useful information aboutAP plasma-chemical reactions

when dopant concentrations are ca. 1‰ in theAr carrier

flow.

Clearly, affirmative answers can be given to both

questions raised in (1) and (2): We have found that the

equivalent circuit model of the small DBD cell applies

equally well to the present (ca. 50-fold) larger reactor,

and that our highly-perfected MATLAB code-based

methodology for evaluating Eg has led to exquisitely

reproducible and meaningful results. Just like in ref.[26]

where absolute validation of experimentally determined

Eg could be demonstrated through an energy balance

experiment, values presented here in Table 1 led to very

7www.plasma-polymers.org

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CH4

C2H2

C2H4

B. Nisol, H. Gagnon, S. Lerouge, M. R. Wertheimer

8

REa

credible Etot/Ndata (see last column). Let us nowattempt to

compare these with data from the literature. To the best

of our knowledge, this is the first publication in which

absolute reaction energy values, DEg, are being reported.

Several of the authors cited above[8–11,24] published AP

DBD studies designed to correlate PP deposition with

W/FM, the energy values often being based on the

Lissajous figure method. For example, Kakaroglou et al.[24]

entitled their recent article ‘‘Evaluation of the Yasuda

parameter on atmospheric plasma deposition of allyl

methacrylate’’: Using a DBD reactor of similar design as

the present one, also with Ar carrier gas, they did not

distinguish between energy absorption with and withoutmonomer, which can also be said for all of the other

published research known to us. Therefore, based on the

present work, we can state with confidence that W/FMwas so far always overestimated, and that correlations

could be achieved only in a qualitative manner. To

illustrate this more clearly, let us consider Figure 6b as

an example: most workers use monomer concentrations

in the sub-‰ range, sometimes merely a few ppm,[8]

so that their determinations of ‘‘W’’ correspond to the

region near the top (Fd� 0 sccm, Eg¼ 1600mJ) of Figure 6b.

Taking our C2H2 example at Fd¼ 10 sccm (1‰), for which

Eg¼ 1200mJ but DEg¼ 400mJ, the overestimation would

be by a factor of 3. It is now instructive, however, to

examine the literature on low-pressure h.f. plasma

experiments, which have important advantages already

cited in the Introduction:

1.

Plas

� 2

rly

relatively straightforward measurement of h.f. power,

with adequate precision;

2.

use of pure reagent gases (e.g., monomer vapors),

without carrier gas.

In their well-known, frequently cited article published

in 1978, now probably mostly of historic interest,

Yasuda and Hirotsu measured and compiled many values

of the parameter W/FM, including for gases investigated

here.[19] We have converted their data, reported in

units of kWhg�1, into the ones used here for Etot/N,eV/molecule, and found the following: by way of

examples, their reported values for Ar, N2, CH4, and

C2H2 were, respectively, 22, 39, 30, and 48 eV/molecule,

compared with our respective values of 2.5, 1.2, 10.7,

and 9.0 eV/molecule (see Table 1). Needless to say, the

current values appear to be far more realistic in terms

of true reaction energies. Turning to more recent work

than Yasuda’s 1978 article, let us compare the present

data with those of Hegemann et al. in ref.[15] and

Hegemann in ref.[17] In Table 1 (page 234) of ref.[15] the

authors compile generalized activation energy values,

Ea [in eV, see Equation (1)], for different monomers,

along with their correlation to the possible PP growth

ma Process. Polym. 2015, DOI: 10.1002/ppap.201500068

015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

View Publication; these are NOT the final pag

mechanism. Three results are of particular interest here,

namely:

e nu

: Ea ¼ 5:3� 0:5 eV ðassumedbond breakage :C�HÞ

: Ea ¼ 9:0� 0:6 eV ðassumedbond breakage :C� CÞ

: Ea ¼ 12� 1:2 eV ðassumedbond breakage: C¼ C; C�HÞ

In ref.,[17] Hegemann states ‘‘Ea of C2H6 seems to be

comparable to that of CH4, also pointing to hydrogen

abstraction.’’ The last two values of Ea above are

remarkably close to corresponding ones in our Table 1,

namely Etot/N¼ 9.0 and 13.5 eV/molecule, respectively.

Only our value for methane, 10.7 eV/molecule, differs

significantly from theirs. Considering the fundamental

differences in fragmentation-initiating mechanisms,

primarily electron-impact and Penning transfer in the

low- and atmospheric-pressure (AP) cases, respectively,

these agreements are quite astonishing. The overall

higher energies per molecule observed in AP DBD for

the saturated hydrocarbons might thus be related to the

Penning transfer, while the excitation of unsaturated

hydrocarbons appears to be similar. Moreover, despite

higher energies per molecule reported by Yasuda, the

ratio between C2H2 and CH4 (�1.6) agrees well with

Hegemann’s findings (�1.7). Therefore, the reported

energies per molecule might indeed be interpreted as

due to an activation barrier opposing the chemical

reaction pathway. The observed transition in energy

difference between the monomer-deficient and the

energy-deficient regime (to use Yasuda’s terminology)

when reaching the plateau, further supports this view.

Comparison of plasma polymer coatings prepared by AP

DBD with their LP-PECVD counterparts is highly desirable,

but not entirely new: This has been reported for the case of

organosilicones (tetraethoxysilane – TEOS) and hexame-

thyldisiloxane (HMDSO) by Sawada et al.[30] While those

authors did not report reaction energies, they did assume

that plasma polymerization (at least of organosilicones) in

AP and LP PECVD proceeds via the same chemical reaction

pathway. The task of confirming this by reaction energy

measurements is now in progress in our laboratory.

Obviously, there is much justification and need to pursue

this line of investigation further.

The research we report here has evidently gone a long

way toward characterizing this new reactor’s overall

performance with inert (Ar) carrier gas, to measure energy

consumption in its DBD plasma with and without the

addition of gaseous reagents. Although PPA deposits

examined to date were powdery, deposition experiments

have been conducted with acrylic acid (AA) vapor, a

monomer used in numerous other published studies.[31,32]

DOI: 10.1002/ppap.201500068

mbers, use DOI for citation !!

Energy of Reactions in Atmospheric-Pressure Plasma Polymerization with Inert Carrier Gas

We found that very smooth films could be deposited,

again on Kapton substrates, using 0.3‰ AA vapor in Ar

(F¼ 10 slm); f¼ 20kHz; 2.1�Va� 3.5 kVrms, but presenting

further details is beyond the scope of this article. Detailed

results about high-quality deposition experiments using

various monomers will be presented subsequently.

Acknowledgements: The authors are grateful for financial sup-port from the Natural Sciences and Engineering Research Councilof Canada (NSERC). Financial support was also provided by theFonds de recherche du Qu�ebec – Nature et technologies (FRQNT) viaPlasma Qu�ebec. We thank Ms. Myl�ene Archambault-Caron andMr. SeanWatson for participating in some of the experiments, andYves Leblanc and Francis Boutet for skilled technical help.

Supporting Information is available at Wiley Online Library orfrom the author.

Received: April 23, 2015; Revised: June 2, 2015; Accepted: June 23,2015;DOI: 10.1002/ppap.201500068

Keywords: argon carrier; atmospheric pressure; dielectric barrierdischarge; plasma polymerization; reaction energy

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