H - CNR

R. Celiberto
Polytechnic of Bari - Italy
&
J. Tennyson
University College of London - UK

He
e He
He
e
C. E. Kuyatt,
J. A. Simpson,
and
S. R. Mielczarek
Phys. Rev.,
138, 385 (1965).

H
2
n
, v j
e
i i,
i

H
2
n
, v j
e
i i,
i
H 2

H
2
n
f
, v
f
,
j
f
e
H
2
n
, v j
e
i i,
i
H 2

H
2
n
f
, v
f
,
j
f
e
H
2
n
, v j
e
i i,
i
H 2
H H

E
i t
spacee

E
i t
spacee
E
E
i
res 2
Γ

E
i t
spacee
E
E
i
res 2
Γ
res
space
e
E
i
res
i/
2
t
space
e
E
i
res
t
e
Γ
t

E
i t
spacee
E
E
i
res 2
Γ
res
space
e
E
i
res
i/
2
Eres
Γ
t
i
t t
2
spacee
e

t
E
i
spacee
t
Γ
space
res
res
e
P
2
2
t
Γ
t
E
i
space
t
i
E
i
space
res
e
e
e
res
res
2
2
/
Γ
E
E
i
res 2

life
time

life
time

ĤΨ res
EΨ res

ĤΨ res
EΨ res
Ψres
1 2 3
el
( r , r , r ; R)
N
( R)

ĤΨ res
EΨ res
Ψres
1 2 3
el
( r , r , r ; R)
N
( R)
E
res
R
el
Ĥel
el
Resonance
potential

ĤΨ res
EΨ res
Ψres
1 2 3
el
( r , r , r ; R)
N
( R)
E
res
R
el
Ĥel
el
Resonance
potential
Γ
R
el
Ĥel
Resonance
width

States 2 S g
+
States 2 S u
+
Dorian Stibbe and Jonathan Tennyson
J. Phys. B: At. Mol. Opt. Phys. 31 (1998) 815

States 2 P g
States 2 P u
Dorian Stibbe and Jonathan Tennyson
J. Phys. B: At. Mol. Opt. Phys. 31 (1998) 815

States 2 D g
Dorian Stibbe and Jonathan Tennyson
J. Phys. B: At. Mol. Opt. Phys. 31 (1998) 815

States 2 S g
+
States 2 S u
+
Dorian Stibbe and Jonathan Tennyson
J. Phys. B: At. Mol. Opt. Phys. 31 (1998) 815

States 2 S g
+
States 2 S u
+
Dorian Stibbe and Jonathan Tennyson
J. Phys. B: At. Mol. Opt. Phys. 31 (1998) 815

States 2 S g
+
States 2 S u
+
H
2
2
S g
Rydbergstate
Dorian Stibbe and Jonathan Tennyson
J. Phys. B: At. Mol. Opt. Phys. 31 (1998) 815

H
v
e H Rydberg
H v
e
2 i
0
2
2
f
= 85°

H
v
e H Rydberg
H v
e
2 i
0
2
2
f
= 85°

Cross sections (10 -20 cm 2 )
v
e H Rydberg
H H
H i
2
2
5.0
4.0
3.0
2.0
1.0
0.0
5 10 15 20 25
Electron energy (eV)

Cross sections (10 -20 cm 2 )
v
e H Rydberg
H H
H i
2
2
4.0
3.5
3.0
2.5
2.0
1.5
1.0
0.5
0.0
5 10 15 20 25
Electron energy (eV)

Cross sections (10 -20 cm 2 )
v
e H Rydberg
H H
H i
2
2
4.0
3.5
3.0
2.5
2.0
1.5
1.0
0.5
0.0
5 10 15 20 25
Electron energy (eV)

Cross sections (10 -20 cm 2 )
v
e H Rydberg
H H
H i
2
2
4.0
3.5
3.0
2.5
Shulz
2.0
1.5
1.0
0.5
0.0
5 10 15 20 25
Electron energy (eV)
Rapp
Rapp,
et
Sharp,
al
& Briglia
present results

Cross sections (10 -20 cm 2 )
v
e H Rydberg
H H
H i
2
2
4.0
3.5
3.0
2.5
Shulz
2.0
1.5
H
H
1.0
0.5
0.0
5 10 15 20 25
Electron energy (eV)
Rapp et al
Rapp, Sharp, & Briglia
present results

Cross section (10 -20 cm 2 )
v
e H Rydberg
H H
H i
2
2
5.0
4.0
H 2
3.0
HD
2.0
HT
1.0
D 2
DT
T 2
0.0
13 14 15 16 17 18
Energy (eV)

Cross section (10 -20 cm 2 )
v
e H Rydberg
H H
H i
2
2
5.0
4.0
H 2
3.0
HD
E
Eth
E
peak
e
M
M
I2
H2
1/ 2
E
2
th
E
E
th
1
q
2.0
HT
1.0
D 2
DT
T 2
0.0
13 14 15 16 17 18
Energy (eV)

Cross section (10 -20 cm 2 )
v
e H Rydberg
H H
H i
2
2
5.0
H 2
4.0
3.0
HD
E
Eth
E
peak
e
M
M
I2
H2
1/ 2
E
2
th
E
E
th
1
q
2.0
HT
1.0
D 2
DT
T 2
0.0
0.95 1 1.05 1.1 1.15 1.2 1.25 1.3
Energy/E threshold

Cross section (10 -21 cm 2 )
H
2
2
v e H X
S H H
i
2
u
2.0
1.5
1.0
0.50
H HD x 5
2
HT x 10
D x 100 2
DT x 500
T x 1000
2
HD
HT
D 2
DT
T 2
E
0.0
0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7
Eth
E
peak
e
M
M
I2
H2
1/ 2
E
2
th
E
E
th
1
q
Energy/E threshold

Rate (10 -9 cm 3 sec -1 )
v
e H Rydberg
H H
H i
2
2
10 -3 0.1 1 10 100 1000
10 -4
10 -5
10 -6
HD
HT
H 2
10 -7
D 2
DT T 2
10 -8
10 -9
10 -10
K
I
2
T
K
H
2
T
peak
peak
M
M
I
H
2
2
M
M
I
H
2
2
1/ 4
e
E
th I2
E
th H2
/
kT
Temperature (eV)

Rate (10 -9 cm 3 sec -1 )
H
2
2
v e H X
S H H
i
2
u
H 2
HD
HT
10 -6 0.1 1 10 100 1000
10 -8
10 -10
10 -12
D 2
DT
10 -14
10 -16
K
I
2
T
T 2
K
H
2
T
peak
peak
M
M
I
H
2
2
M
M
I
H
2
2
1/ 4
e
E
th I2
E
th H2
/
kT
Temperature (eV)

Cross section (cm 2 )
Cross section (cm 2 )
Cross section (cm 2 )
Cross section (cm 2 )
v
e H Rydberg
H H
H i
2
0
2
3.5 10 -19
1.5 10 -19
2 10 -19 13 14 15 16 17 18
H 2
(v i
= 1)
3.0 10 -19
4.0 10 -19 12 13 14 15 16 17 18
H 2
(v i
= 2)
2.5 10 -19
1 10 -19
2.0 10 -19
1.5 10 -19
5 10 -20
1.0 10 -19
5.0 10 -20
0
0.0 10 0
Energy (eV)
Energy (eV)
4 10 -19
5 10 -19 12 13 14 15 16 17 18
H 2
(v i
= 3)
4 10 -19
5 10 -19 12 13 14 15 16 17 18
H 2
(v i
= 4)
3 10 -19
3 10 -19
2 10 -19
2 10 -19
1 10 -19
1 10 -19
0 10 0
0 10 0
Energy (eV)
Energy (eV)

Cross section (cm 2 )
Cross section (cm 2 )
Cross section (cm 2 )
Cross section (cm 2 )
v
e H Rydberg
H H
H i
2
0
2
4 10 -19
4 10 -19
5 10 -19 11 12 13 14 15 16 17 18
H 2
(v i
= 5)
3 10 -19
4 10 -19 10 12 14 16 18 20
H 2
(v i
= 8)
3 10 -19
3 10 -19
2 10 -19
2 10 -19
1 10 -19
0 10 0
2 10 -19
1 10 -19
5 10 -20
0 10 0
Energy (eV)
Energy (eV)
3 10 -19
H 2
(v i
= 10)
3 10 -19 10 11 12 13 14 15 16 17 18
1.4 10 -19
H 2
(v i
= 13)
1.6 10 -19 8 10 12 14 16 18
1.2 10 -19
2 10 -19
1.0 10 -19
2 10 -19
1 10 -19
5 10 -20
0 10 0
8.0 10 -20
6.0 10 -20
4.0 10 -20
2.0 10 -20
0.0 10 0
Energy (eV)
Energy (eV)

Rate (10 -9 cm 3 sec -1 )
v
e H Rydberg
H H
H i
2
0
2
10 -2 0.1 1 10 100 1000
10 -3
10 -4
10 -5
10 -6
10 -7
v i
= 0 - 14
10 -8
10 -9
10 -10
Temperature (eV)

Cross section (10 -16 cm 2 )
N
2
2
v
e N P
N v
0
i
0
2 g 2
35
30
i
e
Theory
Dr. Vincenzo Laporta
IMIP – CNR, BARI
and
POLITECNICO di BARI
25
20
N 2
0 0
15
10
Experiment
5.0
0.0
0 1 2 3 4 5
Energy (eV)

Cross section (10 -16 cm 2 )
N
2
2
v
e N P
N v
20
i
10
2 g 2
0.060
0.050
i
e
Theory
Dr. Vincenzo Laporta
IMIP – CNR, BARI
and
POLITECNICO di BARI
0.040
0.030
N 2
10 20
0.020
0.010
0.0
1 2 3 4 5 6 7 8
Energy (eV)

Rate (cm 3 /sec)
Cross section (10 -16 cm 2 )
N
2
2
v
e N P
N v
20
i
10
2 g 2
0.060
0.050
i
e
Theory
Dr. Vincenzo Laporta
IMIP – CNR, BARI
and
POLITECNICO di BARI
0.040
0.030
N 2
10 20
0.020
6.0 10 -11 0 2 4 6 8 10
5.0 10 -11
0.010
4.0 10 -11
3.0 10 -11
N 2
10 20
2.0 10 -11
0.0
1.0 10 -11
1 2 3 4 5 6 7 8
Energy (eV)
0.0 10 0
Temperature (eV)