return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-263.996982
Energy at 298.15K-264.002696
HF Energy-263.996982
Nuclear repulsion energy207.235317
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 PBEPBEultrafine/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 3115 3064 0.00      
2 Ag 1579 1553 0.00      
3 Ag 1229 1209 0.00      
4 Ag 1019 1002 0.00      
5 Ag 586 577 0.00      
6 Au 950 934 0.00      
7 Au 311 306 0.00      
8 B1g 913 898 0.00      
9 B1u 3094 3043 12.05      
10 B1u 1479 1454 1.52      
11 B1u 1141 1122 4.62      
12 B1u 998 982 32.68      
13 B2g 946 930 0.00      
14 B2g 753 741 0.00      
15 B2u 3109 3057 85.13      
16 B2u 1414 1390 27.62      
17 B2u 1258 1237 0.30      
18 B2u 1068 1050 9.20      
19 B3g 3094 3043 0.00      
20 B3g 1544 1518 0.00      
21 B3g 1341 1319 0.00      
22 B3g 699 688 0.00      
23 B3u 772 759 21.08      
24 B3u 409 402 19.06      

Unscaled Zero Point Vibrational Energy (zpe) 16409.6 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 16138.8 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 PBEPBEultrafine/6-31G*
ABC
0.21201 0.19444 0.10142

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.412
N2 0.000 0.000 -1.412
C3 0.000 1.141 0.704
C4 0.000 -1.141 0.704
C5 0.000 -1.141 -0.704
C6 0.000 1.141 -0.704
H7 0.000 2.083 1.267
H8 0.000 -2.083 1.267
H9 0.000 -2.083 -1.267
H10 0.000 2.083 -1.267

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.82471.34321.34322.40392.40392.08832.08833.39433.3943
N22.82472.40392.40391.34321.34323.39433.39432.08832.0883
C31.34322.40392.28182.68081.40701.09823.27313.77892.1846
C41.34322.40392.28181.40702.68083.27311.09822.18463.7789
C52.40391.34322.68081.40702.28183.77892.18461.09823.2731
C62.40391.34321.40702.68082.28182.18463.77893.27311.0982
H72.08833.39431.09823.27313.77892.18464.16664.87702.5348
H82.08833.39433.27311.09822.18463.77894.16662.53484.8770
H93.39432.08833.77892.18461.09823.27314.87702.53484.1666
H103.39432.08832.18463.77893.27311.09822.53484.87704.1666

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 121.852 N1 C3 H7 117.254
N1 C4 C5 121.852 N1 C4 H8 117.254
N2 C5 C4 121.852 N2 C5 H9 117.254
N2 C6 C3 121.852 N2 C6 H10 117.254
C3 N1 C4 116.296 C3 C6 H10 120.894
C4 C5 H9 120.894 C5 N2 C6 116.296
C5 C4 H8 120.894 C6 C3 H7 120.894
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.352      
2 N -0.352      
3 C 0.016      
4 C 0.016      
5 C 0.016      
6 C 0.016      
7 H 0.160      
8 H 0.160      
9 H 0.160      
10 H 0.160      


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 -35.239 0.000 0.000
y 0.000 -26.796 0.000
z 0.000 0.000 -40.112
Traceless
 xyz
x -1.786 0.000 0.000
y 0.000 10.879 0.000
z 0.000 0.000 -9.094
Polar
3z2-r2-18.188
x2-y2-8.443
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.091 0.000 0.000
y 0.000 10.085 0.000
z 0.000 0.000 8.230


<r2> (average value of r2) Å2
<r2> 116.121
(<r2>)1/2 10.776