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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: B3LYP/6-311G*

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/6-311G*
 hartrees
Energy at 0K-264.374998
Energy at 298.15K-264.380897
Nuclear repulsion energy208.871816
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/6-311G*
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 3174 3067 0.00      
2 Ag 1622 1567 0.00      
3 Ag 1256 1214 0.00      
4 Ag 1040 1005 0.00      
5 Ag 612 591 0.00      
6 Au 997 963 0.00      
7 Au 350 338 0.00      
8 B1g 943 912 0.00      
9 B1u 3153 3046 9.61      
10 B1u 1520 1469 1.22      
11 B1u 1168 1129 6.28      
12 B1u 1038 1003 38.89      
13 B2g 986 952 0.00      
14 B2g 779 753 0.00      
15 B2u 3167 3061 92.77      
16 B2u 1448 1400 33.79      
17 B2u 1217 1176 2.50      
18 B2u 1090 1054 10.13      
19 B3g 3151 3045 0.00      
20 B3g 1579 1526 0.00      
21 B3g 1380 1334 0.00      
22 B3g 723 699 0.00      
23 B3u 801 774 32.41      
24 B3u 435 420 21.52      

Unscaled Zero Point Vibrational Energy (zpe) 16814.4 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 16247.7 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/6-311G*
ABC
0.21445 0.19828 0.10302

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G*

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 1.131 0.697
C4 0.000 -1.131 0.697
C5 0.000 -1.131 -0.697
C6 0.000 1.131 -0.697
H7 0.000 2.063 1.257
H8 0.000 -2.063 1.257
H9 0.000 -2.063 -1.257
H10 0.000 2.063 -1.257

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.81091.33491.33492.38772.38772.06832.06833.36843.3684
N22.81092.38772.38771.33491.33493.36843.36842.06832.0683
C31.33492.38772.26302.65801.39431.08693.24323.74492.1651
C41.33492.38772.26301.39432.65803.24321.08692.16513.7449
C52.38771.33492.65801.39432.26303.74492.16511.08693.2432
C62.38771.33491.39432.65802.26302.16513.74493.24321.0869
H72.06833.36841.08693.24323.74492.16514.12594.83182.5146
H82.06833.36843.24321.08692.16513.74494.12592.51464.8318
H93.36842.06833.74492.16511.08693.24324.83182.51464.1259
H103.36842.06832.16513.74493.24321.08692.51464.83184.1259

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.046 N1 C3 H7 116.933
N1 C4 C5 122.046 N1 C4 H8 116.933
N2 C5 C4 122.046 N2 C5 H9 116.933
N2 C6 C3 122.046 N2 C6 H10 116.933
C3 N1 C4 115.908 C3 C6 H10 121.021
C4 C5 H9 121.021 C5 N2 C6 115.908
C5 C4 H8 121.021 C6 C3 H7 121.021
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.236     -0.426
2 N -0.236     -0.426
3 C -0.093     0.163
4 C -0.093     0.163
5 C -0.093     0.163
6 C -0.093     0.163
7 H 0.211     0.050
8 H 0.211     0.050
9 H 0.211     0.050
10 H 0.211     0.050


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 -35.912 0.000 0.000
y 0.000 -26.927 0.000
z 0.000 0.000 -40.852
Traceless
 xyz
x -2.022 0.000 0.000
y 0.000 11.455 0.000
z 0.000 0.000 -9.432
Polar
3z2-r2-18.865
x2-y2-8.985
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.718 0.000 0.000
y 0.000 10.100 0.000
z 0.000 0.000 8.290


<r2> (average value of r2) Å2
<r2> 114.977
(<r2>)1/2 10.723