MONTE CARLO SIMULATION OF ELECTRON AVALANCHE IN HYDROGEN

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MONTE CARLO SIMULATION OF ELECTRON AVALANCHE IN HYDROGEN

M. Hayashi

To cite this version:

M. Hayashi. MONTE CARLO SIMULATION OF ELECTRON AVALANCHE IN HYDROGEN.

Journal de Physique Colloques, 1979, 40 (C7), pp.C7-45-C7-46. �10.1051/jphyscol:1979722�. �jpa-

00219201�

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JOURNAL DE PHYSIQUE CoZZoque C7, suppZ6ment au n07, Tome 40, JuiZZet 1979, nage C7- 45

MONTE CARL0 SIMULATION OF ELECTRON AVALANCHE IN HYDROGEN

M. Hayashi.

Nagoya I n s t i t u t o f TechnoZogy, Nagoya Japan.

In recent conference papers,

we

described a MCS of the bsbviour of electron

swarms and

the proper- ties of back scattering of electrons to the cathode in a low pressure helium, argonl)and nitrcgen2)gas under the influence of a uniform electric field.

The properties of electron avalanches in hydrogen

were

studied using a same MCS technique at ratios of the electric field intensity to the gas n m r density

E/N

of from about 3 to 3000

Td.

~olkard and Haydon3) Tagashira and his group4!

Saelee and ~ u c a s ~ ) Hunter Blevin, et a1 7)have used MCS to study the electron

swarm

transport para- meters in hydrogen.

The isotropic scattering is assued by using the mmatum transfer elastic collision cross section q

, . The

gccd

agrement of swarm parameters are confirmed

between

isotropic scattering model using q,and anisotropic scattering &el using q,, where qt is the total elastic collision cross section42

The determination of a set of collision cross sections were very important to get the good result-

Table 1. Energy Levels of Hydrogen Level Threshold Peak Energy & its Xsection

(ev) (ev) (x10-/6 emf )

b3e: 8.8 16 0.28

B I Z :

^11.37 ⁴⁰ ^0.48

c J R , ^11.87 ¹⁵ ^0.56

a3E: 11.89 15 0.09

s of wide range of

E/N,

and we must determined the values of q of the electron energy range up to 1000 ev.

The q,used was that obtained by Crqton, et a1 8) and covers the range from 0 to

2

ev. For the region 3

to 75

ev, the q,obtained by Srivastava, et a19)was used, and for the region 100 to 1000 ev, we calculated

,q

from the

data

of DCS of Fink, et all?) And finallythese data were connected m t h - ly on a curved line.

The recent calculation of electronic excitation cross sections qe for singlet and triplet states of Qlung, et all%d Prok, et all%re used,

and

extra- polated to 1000 ev smoothly. We employed

qe

of ten levels, and could neglectthe values of qe of the other levels that they are one or

tsm

order small.

These values are shown

in

Table

1 and

Fig.

₁

to

3

.

Fig. 1

In this MCS we must allowed for the values of

qa Ionize 15.425 7 0 0.972

in order to agree with the experhei-&hl data of

ionization

coeff.

d . These corrections were

q e

(BIZ) X0.6, q,(c3T[)

x

0.4, qe(c'R)

X 0.8. The calculated

values were a h s t consistent with Rose's valuesl3)

Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:1979722

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References Fig. 2

electron energy (eV)

up t o E/N= 3000 Td, which were a h s t coincide w i t h our preliminaly e x p e r h t a l values.

Fig. 4 showed t h e values of electron d r i f t ve- l o c i t y W. A t low E/N, t h e calculated values were larger than the experbwntal data.

The transmission coeff. v s E/N were shown i n Fig.

5 and ccnnpared w i t h our e x p e r i m a t a l r e s u l t s . Good a q r e m t s were obtained i f t h e r e f l e c t i o n coeff.

of our gold film c a W e was about 0.3. The back scatterings a r e t h e phenomena of non-equilibrium region, s o K S techniques are one and only mthod t o describe t h e characteristics.

The computer FACOM M-200 of t h e Inst. of P l a s m Physics, Nagoya Univ. is used.

Fig. 3 H.

1) M. Hayashi: Gas Discharges, IEE Conf. Pub. No.

2) M. Hayashi: Conf. Pub. of 4th ESCAMPIG, E l ('78).

3) M.A. Folkard, e t a l : Aust. J. Phys.23, 847 ('70).

4) N. Ueno, e t a l : Paper of Tech. Group of Elect.

Discharge, ED-72-22 (19721, in Japanese.

5) H.T. Saelee, e t a l : J. Phys. D, 10, 343 (1977).

6) S.R. Hunter, Aust. J. Phys. 30, 83 (1977).

7) H.A. Blevin, et a l : Aust. J. Phys. 31, 299 ('78).

8) R.W. Crompton, e t a l : Aust.J.Phys. 22, 715 ('69).

9) S.K. Srivastava, e t a l : J. C. P. 63,2659 (1975).

10)M. Fink, e t a l : Phys. Rev. A, 12, 1374 (1975).

11)s.

Chung, e t a l : Phys. Rev. A, 12, 1340 (1975).

12)G.M. Prok, e t a l : J. Quant. Spectrosc. Radiation Transfer, 9, 361 (1969).

13)D.J. Rose: Phys. Rev. 104, 273 (1956).

Transmission ~oefficlenf '

electron energy 0.5 eV In He

Fig. 5. Transmission coefficient v s E D . MCS were carried out by only 100 samples of electrons a t each points, so d a t a were scattered. R is the r e f l e c t i o n coefficient of electrons from t h e cathode.