Geoscience Reference

In-Depth Information

where

8

M
c

1=2

E
ˇ
:

A
D

To illustrate the foregoing theory we consider the reaction

N
2
D
C
O
3
P
!
NO
C
X
1
†
C
C
e
;
E
ˇ
D
0:38 eV

(1.38)

The dependence of the total cross section for this reaction on the energy of the

colliding particles was measured by Ringer and Gentry (
1979
), where it was shown

that the process is most effective when the nitrogen atom is in the metastable

2
D-state and the oxygen atom is in the ground
3
P-state. The valent term positions

of the molecule NO were taken from Lee (
1977
), where it is shown that the ion term

U
i
intersects with the diabatic terms of three valence configurations A
02
†
C
; B
2
…,

and B
02
near the equilibrium position. The state B
02
interacts with the Rydberg

ndı
2
X
1
†
C
-series. The configuration A
02
†
C

(correlating with the ground

N
4
S
and O
3
P
states) interacts with the p
2
†
C
X
1
†
C
-series. It is populated

by the Landau-Zener transition from the term I
1
†
C
(the intersection occurs at

the distance
R
c
3, which lies outside the main transition region). The state B
2
…

interacts with the p
2
…
X
1
†
C
series. We have not considered the configuration

L
2
… because of the smallness of the corresponding coupling constants (Golubkov

and Ivanov
2001
).

The general rule is when the atoms N
2
D
and O
3
P
approach and produce the

nine valence states with the spin of 1/2, which spin weight is equal to 1/3. These

states include three (two
2
†
C
and one
2
†
) nondegenerate and six (respectively,

three
2
…,two
2
, and one
2
ˆ) doubly degenerate states, the statistical weight of

which is defined as g
ˇ
D
s
ˇ
=45,wheres
ˇ
is the degeneracy. The configuration

interaction
ˇ
characterizes the splitting of the Rydberg and the valence disso-

ciative terms and is related to the value V
ˇ
by the relationship
ˇ
D
1=2
V
ˇ
.The

characteristics of the dissociative terms

ˇ
ˇ
ˇ
ˇ

ˇ
ˇ
ˇ
ˇ
R
.ˇ/

c

;
ˇ
D
U
ˇ
U
i
R
e

dU
ˇ

dR

F
ˇ
D

the potential splitting values, and the corresponding statistical weights of these

configurations are taken from Golubkov and Ivanov (
2001
).

The calculation results performed using the formula (
1.35
), taking into account

the three vibrational states (
v
D
0, 1, and 2) of the ion NO
C
,areshowninFig.
1.5
.

When calculating the total cross section corresponding to the partial cross section

for the term A
02
†
C
, the term was multiplied by the probability of transition from the

I
1
†
C
term, which is given by the Landau-Zener model with the V
IA
0

D
6
10
3
,the

D
1:22
10
1
, and the energy E
.c/

IA

D
2:1
10
2
at

difference in the strength F
IA
0