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: HF/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 HF/6-311G*
 hartrees
Energy at 0K-262.733052
Energy at 298.15K-262.739266
Nuclear repulsion energy211.195069
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 HF/6-311G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 3375 3052 0.00      
2 Ag 1799 1627 0.00      
3 Ag 1353 1223 0.00      
4 Ag 1122 1015 0.00      
5 Ag 655 592 0.00      
6 Au 1117 1010 0.00      
7 Au 425 385 0.00      
8 B1g 1040 941 0.00      
9 B1u 3351 3030 9.22      
10 B1u 1663 1504 0.71      
11 B1u 1257 1136 9.84      
12 B1u 1122 1015 40.61      
13 B2g 1093 989 0.00      
14 B2g 839 759 0.00      
15 B2u 3368 3046 86.98      
16 B2u 1564 1414 48.41      
17 B2u 1189 1076 0.84      
18 B2u 1088 984 61.02      
19 B3g 3349 3029 0.00      
20 B3g 1753 1585 0.00      
21 B3g 1491 1348 0.00      
22 B3g 777 703 0.00      
23 B3u 889 804 36.31      
24 B3u 486 440 26.85      

Unscaled Zero Point Vibrational Energy (zpe) 18082.6 cm-1
Scaled (by 0.9044) Zero Point Vibrational Energy (zpe) 16353.9 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 HF/6-311G*
ABC
0.21894 0.20290 0.10531

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.386
N2 0.000 0.000 -1.386
C3 0.000 1.120 0.693
C4 0.000 -1.120 0.693
C5 0.000 -1.120 -0.693
C6 0.000 1.120 -0.693
H7 0.000 2.042 1.246
H8 0.000 -2.042 1.246
H9 0.000 -2.042 -1.246
H10 0.000 2.042 -1.246

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.77191.31711.31712.36112.36112.04652.04653.33083.3308
N22.77192.36112.36111.31711.31713.33083.33082.04652.0465
C31.31712.36112.23972.63351.38541.07503.20953.70852.1465
C41.31712.36112.23971.38542.63353.20951.07502.14653.7085
C52.36111.31712.63351.38542.23973.70852.14651.07503.2095
C62.36111.31711.38542.63352.23972.14653.70853.20951.0750
H72.04653.33081.07503.20953.70852.14654.08334.78342.4916
H82.04653.33083.20951.07502.14653.70854.08332.49164.7834
H93.33082.04653.70852.14651.07503.20954.78342.49164.0833
H103.33082.04652.14653.70853.20951.07502.49164.78344.0833

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 121.760 N1 C3 H7 117.275
N1 C4 C5 121.760 N1 C4 H8 117.275
N2 C5 C4 121.760 N2 C5 H9 117.275
N2 C6 C3 121.760 N2 C6 H10 117.275
C3 N1 C4 116.479 C3 C6 H10 120.964
C4 C5 H9 120.964 C5 N2 C6 116.479
C5 C4 H8 120.964 C6 C3 H7 120.964
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.320 -0.454   -0.447
2 N -0.320 -0.454   -0.447
3 C -0.072 0.186   0.159
4 C -0.072 0.186   0.159
5 C -0.072 0.186   0.159
6 C -0.072 0.186   0.159
7 H 0.232 0.041   0.064
8 H 0.232 0.041   0.064
9 H 0.232 0.041   0.064
10 H 0.232 0.041   0.064


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 -36.448 0.000 0.000
y 0.000 -26.527 0.000
z 0.000 0.000 -41.166
Traceless
 xyz
x -2.602 0.000 0.000
y 0.000 12.279 0.000
z 0.000 0.000 -9.678
Polar
3z2-r2-19.356
x2-y2-9.921
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.684 0.000 0.000
y 0.000 9.544 0.000
z 0.000 0.000 7.852


<r2> (average value of r2) Å2
<r2> 113.067
(<r2>)1/2 10.633