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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: B3LYP/CEP-121G*

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/CEP-121G*
 hartrees
Energy at 0K-44.801593
Energy at 298.15K-44.807442
Nuclear repulsion energy105.060666
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/CEP-121G*
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 3166 3069 0.00      
2 Ag 1598 1549 0.00      
3 Ag 1243 1205 0.00      
4 Ag 1017 986 0.00      
5 Ag 599 581 0.00      
6 Au 981 951 0.00      
7 Au 350 339 0.00      
8 B1g 941 913 0.00      
9 B1u 3145 3049 8.79      
10 B1u 1503 1457 0.77      
11 B1u 1155 1120 6.97      
12 B1u 1017 986 32.77      
13 B2g 973 943 0.00      
14 B2g 766 743 0.00      
15 B2u 3160 3063 103.12      
16 B2u 1432 1389 33.15      
17 B2u 1202 1165 3.23      
18 B2u 1071 1038 12.42      
19 B3g 3144 3048 0.00      
20 B3g 1560 1513 0.00      
21 B3g 1369 1327 0.00      
22 B3g 707 686 0.00      
23 B3u 801 776 36.46      
24 B3u 431 417 20.01      

Unscaled Zero Point Vibrational Energy (zpe) 16665.5 cm-1
Scaled (by 0.9694) Zero Point Vibrational Energy (zpe) 16155.5 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/CEP-121G*
ABC
0.21164 0.19450 0.10135

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.420
N2 0.000 0.000 -1.420
C3 0.000 1.139 0.704
C4 0.000 -1.139 0.704
C5 0.000 -1.139 -0.704
C6 0.000 1.139 -0.704
H7 0.000 2.076 1.263
H8 0.000 -2.076 1.263
H9 0.000 -2.076 -1.263
H10 0.000 2.076 -1.263

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.83971.34541.34542.41002.41002.08202.08203.39203.3920
N22.83972.41002.41001.34541.34543.39203.39202.08202.0820
C31.34542.41002.27812.67811.40791.09093.26333.76882.1784
C41.34542.41002.27811.40792.67813.26331.09092.17843.7688
C52.41001.34542.67811.40792.27813.76882.17841.09093.2633
C62.41001.34541.40792.67812.27812.17843.76883.26331.0909
H72.08203.39201.09093.26333.76882.17844.15214.85972.5252
H82.08203.39203.26331.09092.17843.76884.15212.52524.8597
H93.39202.08203.76882.17841.09093.26334.85972.52524.1521
H103.39202.08202.17843.76883.26331.09092.52524.85974.1521

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.150 N1 C3 H7 117.045
N1 C4 C5 122.150 N1 C4 H8 117.045
N2 C5 C4 122.150 N2 C5 H9 117.045
N2 C6 C3 122.150 N2 C6 H10 117.045
C3 N1 C4 115.701 C3 C6 H10 120.805
C4 C5 H9 120.805 C5 N2 C6 115.701
C5 C4 H8 120.805 C6 C3 H7 120.805
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.099      
2 N 0.099      
3 C -0.236      
4 C -0.236      
5 C -0.236      
6 C -0.236      
7 H 0.186      
8 H 0.186      
9 H 0.186      
10 H 0.186      


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 -35.983 0.000 0.000
y 0.000 -26.737 0.000
z 0.000 0.000 -40.993
Traceless
 xyz
x -2.118 0.000 0.000
y 0.000 11.751 0.000
z 0.000 0.000 -9.633
Polar
3z2-r2-19.267
x2-y2-9.246
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.216 0.000 0.000
y 0.000 10.615 0.000
z 0.000 0.000 8.709


<r2> (average value of r2) Å2
<r2> 94.056
(<r2>)1/2 9.698