

Georgian Scientists/ . 7  N 1, 2025 212

Georgian Scientists

 Vol. 7  Issue 1, 2025

https://doi.org/10.52340/gs.2025.07.01.20

 (E=200ev)  (0.25–10kev) 

 493.5  500.5 , 567.9 . 

.  (0,0), (0,1), (0,2), (1,1), (1,2),
(1,3)  (2,0), (3,0),(4,1), (5,2) 

. 

: , , 
,

 [1-5]. , , 
, 

. 
 400-500 ,  ( )  10-20

. _
, ,

.
 ( , , ).

.  10-
30 ,  10-20  [6].

, , ,


Georgian Scientists/ . 7  N 1, 2025 213

.  110
.

2N -  ( gu
22 )  (

gu
22 ) . 

. 
, 

.

.1 .

.2 .


Georgian Scientists/ . 7  N 1, 2025 214

.3 
 E(R) .

, 
, , 

, 

. .

. 

 – , , 
. 

. 

. 
. , , 

u
2  10-5 , 

, 
. 2

2 ( )uN 2N -

.
 ( ) .


Georgian Scientists/ . 7  N 1, 2025 215

.4  (4,1)  e-N2

 400 .

2,e H N

2N g
2

. , g
2  - 

u
2

.  [7-15]
. , [7] , 
,  - 
.  A 

, 

. , 
. 

 600-850 - , , 
 0,70 ) 

.
I-

. 
/ 2 . 
/ 2 7 , 

,  [8] 
 [9-11]. 


Georgian Scientists/ . 7  N 1, 2025 216

I. : uA2 .

, 
. , 

2N , 
2

2 ( )uN , . 

u
2

) . ,
 (0,0) 

. , 
 (0,0) 

, u
2

, u
2

.
, 

, 

B A

:

r

Q

A

B

k
Qk ][1  (1)

 - 
. ][QkQ - , 

)  - Q  -  , rk - 


Georgian Scientists/ . 7  N 1, 2025 217

.
, 

.

0,0, //// XB
/

//// ,, XA
=1,7; 2,5; 8,0,  (2,0), (3,1),  (4,1) 

. 10%- . 
 2,5 - 6,5

,  6-  21- . 2
2 ( )uN

2
2 ( )uN

100E eV 4.1 0.7 . 
2

2 ( )uN 2
2 ( )uN

100  [12], 2
2 ( )uN

100E eV 2
2 ( )uN

391,4 ,(0,0)  (1,74+0,7)10-17 2  [12] , 
 (10,1+1,4)10-18, (7,0+1,0)10-18

(2,2+0,3)10-18 2 , (2,0), (3,1)  (4,1) .
II- 

.  [13-15] .
, 

2
2 ( )uN

,  2-
. [14] 

.  [13] .
II. :  ( 1810 2 )

Ee=100 .

[16]:


Georgian Scientists/ . 7  N 1, 2025 218

)E(fE
M
mE 2  (2)

m- , M- , E- , -
. )E(f  - , 

. 

. 
,  A 

 (10-5 ), 
, . 

, , 
.

[17]- 2H N . 

 0,5-3,0 
. , 

. 

. , 
)X(N)s1( 22

01 .  1.0 
 0,70  0,5-

. 
)()1( 2

22 uCs , )( 2
uC

, )X()2n( 2
* ,  

. 
, 

.

 E=1.0 03.0
.5- .


Georgian Scientists/ . 7  N 1, 2025 219

. 5. 2
0

2

 (E=1 , 3,0 .).

 : A- )()1( 2s  B- )()1( 2 Cs ,

 C- *
2)1( s *

2  -

.
. 

)X()s1( 22  . 

 1s 2 -  X-

, * 2
2 2(1 ) ( )uH N H s N C - ,

 ( )  - 10%- . 
. ,

)(2 CN .

 -  (C).

2N  – , 

)(2 BN )(2 AN .

.6-  PA,  PB  PC

E
)()1( 22 XNsHNH , )()1( 22 CNsHNH , *

22 )1( NsHNH
.


Georgian Scientists/ . 7  N 1, 2025 220

.7 )()1( 22 XNsHNH

)(2 , -
E ,

 0,5, 1,0 2,0  3,0 . E
. 

, 
 ( )

01  ( .8). 
, 01

2 2
2 2 2(1 ) ( ), ( )u us B A . ,

.6 
E

:

 - 0,5 ; O-1,0 ; - 2,0 ; - 3,0 .

PA - )()1( 22 XNsHNH

.

PB- )()1( 22 CNsHNH  ,

)()2( 22 XNnHNH

.7

)(sin

E


Georgian Scientists/ . 7  N 1, 2025 221

, )(2 BN )(2 AN
, .

.

.8 22 NHNH O

E =0,5 .

. guA 22

gu
22 .3) . 

. 2N uA2
u

2

/ / /

. / / /( , ) , / / /

;
.

1-  2-
:

1 2
ˆ( , ) ( , )e er R A r R  (3)

1( , )er R 2( , )er R  - 

; Â , < >-
. 

Â R
, 


Georgian Scientists/ . 7  N 1, 2025 222

/ //,
q , 

/ / / / / /
2

, 1 2
( ) ( )q R R  (4)

, 
 ( ). 

Â
R . , 

, , /

 D / //,
q . -

. , 

, [18] , 
X ( / /

)  B  ( /

), :

// /
// / // /,, ,

( )XBX B X B
P G R q  (5)

// /,( )XBG R

 [18,19], // /,
R  -

, R-  [18, 20]

// /
// /

// /

,
X B

X B

R dR
R

dR
 (6)

/ / /,X B
q  - . / /X /B

 -

. 

2N 2N

.  [21] .

. 
, 

. , 2H N

.


Georgian Scientists/ . 7  N 1, 2025 223

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19. M.R.Gochitashvili, B.I.Kikiani, R.V.Kvizhinadze and N.R.Jaliashvili, National Institute of Standarts
and Technology (USA) , ICAMDATA 97, 926, 3.3 molecules 245-247 (1997)
20. Malkhaz R. Gochitashvili, Roman Ya. Kezerashvili, Ramaz A. Lomsadze „Excitation of Meinel and
first  negative  band system at  the  collision  of  electron and proton with  nitrogen molecule“  Physical
Review A 82, 022702 (2010).
21. ,

” : , -365 . (2000)

Atomic and molecular emission spectrum in the collision of electrons and protons with
nitrogen molecules

Nato Toloraia
Sokhumi state University

Absolute emission cross section for the first negative and Meinel band system of N2+ molecule
are disscased at the collisions electrons and protons with N2 molecules in the E=200ev energy.
Particularly are preseted the excitation functions of (0,0), (0,1), (0,2), (1,1), (1,2), (1,3) bands of 1NG
and (2,0), (3,0),(4,1), (5,2) bands of Meinel systems respectively. The analysis of emission spectrum of
atomic and molecular particles are performed too.