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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: B3LYP/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at B3LYP/3-21G
 hartrees
Energy at 0K-262.845122
Energy at 298.15K-262.851083
Nuclear repulsion energy207.353196
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3LYP/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3218 3105 0.00      
2 Ag 1562 1507 0.00      
3 Ag 1270 1225 0.00      
4 Ag 1024 988 0.00      
5 Ag 629 607 0.00      
6 Au 1049 1012 0.00      
7 Au 350 337 0.00      
8 B1g 974 940 0.00      
9 B1u 3193 3081 12.58      
10 B1u 1510 1457 16.30      
11 B1u 1164 1124 0.01      
12 B1u 1014 978 29.74      
13 B2g 1047 1010 0.00      
14 B2g 807 778 0.00      
15 B2u 3208 3096 56.11      
16 B2u 1446 1396 26.24      
17 B2u 1166 1125 2.95      
18 B2u 1080 1042 9.60      
19 B3g 3190 3078 0.00      
20 B3g 1513 1460 0.00      
21 B3g 1402 1352 0.00      
22 B3g 733 707 0.00      
23 B3u 831 802 34.72      
24 B3u 451 435 22.35      

Unscaled Zero Point Vibrational Energy (zpe) 16914.6 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 16320.9 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3LYP/3-21G
ABC
0.20853 0.19788 0.10153

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.408
N2 0.000 0.000 -1.408
C3 0.000 1.149 0.697
C4 0.000 -1.149 0.697
C5 0.000 -1.149 -0.697
C6 0.000 1.149 -0.697
H7 0.000 2.079 1.254
H8 0.000 -2.079 1.254
H9 0.000 -2.079 -1.254
H10 0.000 2.079 -1.254

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.81641.35161.35162.39862.39862.08482.08483.37753.3775
N22.81642.39862.39861.35161.35163.37753.37752.08482.0848
C31.35162.39862.29882.68851.39401.08353.27613.77202.1608
C41.35162.39862.29881.39402.68853.27611.08352.16083.7720
C52.39861.35162.68851.39402.29883.77202.16081.08353.2761
C62.39861.35161.39402.68852.29882.16083.77203.27611.0835
H72.08483.37751.08353.27613.77202.16084.15814.85542.5071
H82.08483.37753.27611.08352.16083.77204.15812.50714.8554
H93.37752.08483.77202.16081.08353.27614.85542.50714.1581
H103.37752.08482.16083.77203.27611.08352.50714.85544.1581

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 121.748 N1 C3 H7 117.346
N1 C4 C5 121.748 N1 C4 H8 117.346
N2 C5 C4 121.748 N2 C5 H9 117.346
N2 C6 C3 121.748 N2 C6 H10 117.346
C3 N1 C4 116.505 C3 C6 H10 120.907
C4 C5 H9 120.907 C5 N2 C6 116.505
C5 C4 H8 120.907 C6 C3 H7 120.907
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.491     -0.433
2 N -0.491     -0.433
3 C 0.026     0.163
4 C 0.026     0.163
5 C 0.026     0.163
6 C 0.026     0.163
7 H 0.220     0.053
8 H 0.220     0.053
9 H 0.220     0.053
10 H 0.220     0.053


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP 0.000 0.000 0.000 0.000


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.986 0.000 0.000
y 0.000 -26.560 0.000
z 0.000 0.000 -41.146
Traceless
 xyz
x -2.133 0.000 0.000
y 0.000 12.006 0.000
z 0.000 0.000 -9.873
Polar
3z2-r2-19.746
x2-y2-9.425
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.340 0.000 0.000
y 0.000 9.375 0.000
z 0.000 0.000 7.255


<r2> (average value of r2) Å2
<r2> 116.293
(<r2>)1/2 10.784