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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: HSEh1PBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at HSEh1PBE/6-31+G**
 hartrees
Energy at 0K-264.046480
Energy at 298.15K-264.052386
HF Energy-264.046480
Nuclear repulsion energy209.024488
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 HSEh1PBE/6-31+G**
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 3073 0.00      
2 Ag 1651 1576 0.00      
3 Ag 1263 1206 0.00      
4 Ag 1057 1010 0.00      
5 Ag 607 580 0.00      
6 Au 1003 958 0.00      
7 Au 348 333 0.00      
8 B1g 949 906 0.00      
9 B1u 3198 3054 2.49      
10 B1u 1529 1460 0.28      
11 B1u 1179 1125 10.44      
12 B1u 1036 989 28.33      
13 B2g 989 944 0.00      
14 B2g 775 740 0.00      
15 B2u 3213 3067 59.52      
16 B2u 1454 1388 35.07      
17 B2u 1280 1222 4.10      
18 B2u 1102 1053 9.88      
19 B3g 3198 3053 0.00      
20 B3g 1625 1552 0.00      
21 B3g 1376 1314 0.00      
22 B3g 722 689 0.00      
23 B3u 807 770 34.35      
24 B3u 432 412 25.25      

Unscaled Zero Point Vibrational Energy (zpe) 17005.2 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 16236.6 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 HSEh1PBE/6-31+G**
ABC
0.21498 0.19839 0.10318

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**

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 1.130 0.697
C4 0.000 -1.130 0.697
C5 0.000 -1.130 -0.697
C6 0.000 1.130 -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
N12.80981.33291.33292.38662.38662.06882.06883.36643.3664
N22.80982.38662.38661.33291.33293.36643.36642.06882.0688
C31.33292.38662.25932.65511.39481.08763.24133.74262.1642
C41.33292.38662.25931.39482.65513.24131.08762.16423.7426
C52.38661.33292.65511.39482.25933.74262.16421.08763.2413
C62.38661.33291.39482.65512.25932.16423.74263.24131.0876
H72.06883.36641.08763.24133.74262.16424.12674.83012.5101
H82.06883.36643.24131.08762.16423.74264.12672.51014.8301
H93.36642.06883.74262.16421.08763.24134.83012.51014.1267
H103.36642.06882.16423.74263.24131.08762.51014.83014.1267

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.060 N1 C3 H7 117.091
N1 C4 C5 122.060 N1 C4 H8 117.091
N2 C5 C4 122.060 N2 C5 H9 117.091
N2 C6 C3 122.060 N2 C6 H10 117.091
C3 N1 C4 115.880 C3 C6 H10 120.849
C4 C5 H9 120.849 C5 N2 C6 115.880
C5 C4 H8 120.849 C6 C3 H7 120.849
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.166      
2 N -0.166      
3 C -0.082      
4 C -0.082      
5 C -0.082      
6 C -0.082      
7 H 0.165      
8 H 0.165      
9 H 0.165      
10 H 0.165      


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 -36.218 0.000 0.000
y 0.000 -26.676 0.000
z 0.000 0.000 -41.683
Traceless
 xyz
x -2.038 0.000 0.000
y 0.000 12.274 0.000
z 0.000 0.000 -10.236
Polar
3z2-r2-20.472
x2-y2-9.542
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.874 0.000 0.000
y 0.000 10.512 0.000
z 0.000 0.000 9.247


<r2> (average value of r2) Å2
<r2> 115.034
(<r2>)1/2 10.725