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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: PBE1PBE/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at PBE1PBE/6-31G*
 hartrees
Energy at 0K-264.009305
Energy at 298.15K-264.015202
HF Energy-264.009305
Nuclear repulsion energy209.105061
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 PBE1PBE/6-31G*
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 3224 3064 0.00      
2 Ag 1663 1580 0.00      
3 Ag 1272 1209 0.00      
4 Ag 1064 1011 0.00      
5 Ag 605 575 0.00      
6 Au 1003 953 0.00      
7 Au 350 332 0.00      
8 B1g 953 906 0.00      
9 B1u 3203 3043 7.77      
10 B1u 1542 1465 1.50      
11 B1u 1185 1126 7.31      
12 B1u 1037 986 34.86      
13 B2g 993 944 0.00      
14 B2g 782 743 0.00      
15 B2u 3218 3058 67.07      
16 B2u 1465 1393 34.79      
17 B2u 1284 1220 2.69      
18 B2u 1110 1055 10.33      
19 B3g 3202 3043 0.00      
20 B3g 1633 1552 0.00      
21 B3g 1387 1318 0.00      
22 B3g 724 688 0.00      
23 B3u 808 768 24.21      
24 B3u 434 412 22.07      

Unscaled Zero Point Vibrational Energy (zpe) 17070.3 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 16221.9 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 PBE1PBE/6-31G*
ABC
0.21537 0.19838 0.10326

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.405
N2 0.000 0.000 -1.405
C3 0.000 1.128 0.697
C4 0.000 -1.128 0.697
C5 0.000 -1.128 -0.697
C6 0.000 1.128 -0.697
H7 0.000 2.063 1.255
H8 0.000 -2.063 1.255
H9 0.000 -2.063 -1.255
H10 0.000 2.063 -1.255

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.81101.33251.33252.38592.38592.06802.06803.36663.3666
N22.81102.38592.38591.33251.33253.36663.36662.06802.0680
C31.33252.38592.25692.65241.39351.08843.23963.74082.1641
C41.33252.38592.25691.39352.65243.23961.08842.16413.7408
C52.38591.33252.65241.39352.25693.74082.16411.08843.2396
C62.38591.33251.39352.65242.25692.16413.74083.23961.0884
H72.06803.36661.08843.23963.74082.16414.12524.82912.5107
H82.06803.36663.23961.08842.16413.74084.12522.51074.8291
H93.36662.06803.74082.16411.08843.23964.82912.51074.1252
H103.36662.06802.16413.74083.23961.08842.51074.82914.1252

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.131 N1 C3 H7 116.989
N1 C4 C5 122.131 N1 C4 H8 116.989
N2 C5 C4 122.131 N2 C5 H9 116.989
N2 C6 C3 122.131 N2 C6 H10 116.989
C3 N1 C4 115.737 C3 C6 H10 120.879
C4 C5 H9 120.879 C5 N2 C6 115.737
C5 C4 H8 120.879 C6 C3 H7 120.879
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.387      
2 N -0.387      
3 C 0.004      
4 C 0.004      
5 C 0.004      
6 C 0.004      
7 H 0.189      
8 H 0.189      
9 H 0.189      
10 H 0.189      


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        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.333 0.000 0.000
y 0.000 -26.338 0.000
z 0.000 0.000 -40.216
Traceless
 xyz
x -2.056 0.000 0.000
y 0.000 11.436 0.000
z 0.000 0.000 -9.380
Polar
3z2-r2-18.761
x2-y2-8.995
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.064 0.000 0.000
y 0.000 9.713 0.000
z 0.000 0.000 7.955


<r2> (average value of r2) Å2
<r2> 114.400
(<r2>)1/2 10.696