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: B3LYP/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 B3LYP/6-31G**
 hartrees
Energy at 0K-264.323026
Energy at 298.15K-264.328921
Nuclear repulsion energy208.466799
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/6-31G**
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 3189 3064 0.00      
2 Ag 1630 1567 0.00      
3 Ag 1260 1210 0.00      
4 Ag 1045 1004 0.00      
5 Ag 608 584 0.00      
6 Au 996 957 0.00      
7 Au 351 337 0.00      
8 B1g 947 910 0.00      
9 B1u 3168 3044 9.32      
10 B1u 1525 1465 1.39      
11 B1u 1170 1124 4.70      
12 B1u 1033 992 37.01      
13 B2g 987 948 0.00      
14 B2g 775 744 0.00      
15 B2u 3183 3058 72.96      
16 B2u 1452 1396 30.67      
17 B2u 1243 1194 1.93      
18 B2u 1097 1054 11.81      
19 B3g 3167 3043 0.00      
20 B3g 1593 1530 0.00      
21 B3g 1381 1327 0.00      
22 B3g 721 693 0.00      
23 B3u 807 775 17.95      
24 B3u 434 417 21.64      

Unscaled Zero Point Vibrational Energy (zpe) 16879.6 cm-1
Scaled (by 0.9608) Zero Point Vibrational Energy (zpe) 16217.9 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 B3LYP/6-31G**
ABC
0.21370 0.19741 0.10262

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G**

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.409
N2 0.000 0.000 -1.409
C3 0.000 1.133 0.698
C4 0.000 -1.133 0.698
C5 0.000 -1.133 -0.698
C6 0.000 1.133 -0.698
H7 0.000 2.068 1.255
H8 0.000 -2.068 1.255
H9 0.000 -2.068 -1.255
H10 0.000 2.068 -1.255

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.81881.33791.33792.39312.39312.07352.07353.37303.3730
N22.81882.39312.39311.33791.33793.37303.37302.07352.0735
C31.33792.39312.26652.66231.39671.08803.24923.75022.1658
C41.33792.39312.26651.39672.66233.24921.08802.16583.7502
C52.39311.33792.66231.39672.26653.75022.16581.08803.2492
C62.39311.33791.39672.66232.26652.16583.75023.24921.0880
H72.07353.37301.08803.24923.75022.16584.13564.83822.5109
H82.07353.37303.24921.08802.16583.75024.13562.51094.8382
H93.37302.07353.75022.16581.08803.24924.83822.51094.1356
H103.37302.07352.16583.75023.24921.08802.51094.83824.1356

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.106 N1 C3 H7 117.092
N1 C4 C5 122.106 N1 C4 H8 117.092
N2 C5 C4 122.106 N2 C5 H9 117.092
N2 C6 C3 122.106 N2 C6 H10 117.092
C3 N1 C4 115.788 C3 C6 H10 120.802
C4 C5 H9 120.802 C5 N2 C6 115.788
C5 C4 H8 120.802 C6 C3 H7 120.802
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.397      
2 N -0.397      
3 C 0.089      
4 C 0.089      
5 C 0.089      
6 C 0.089      
7 H 0.110      
8 H 0.110      
9 H 0.110      
10 H 0.110      


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 -35.137 0.000 0.000
y 0.000 -26.778 0.000
z 0.000 0.000 -40.406
Traceless
 xyz
x -1.545 0.000 0.000
y 0.000 10.993 0.000
z 0.000 0.000 -9.448
Polar
3z2-r2-18.897
x2-y2-8.358
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.085 0.000 0.000
y 0.000 9.879 0.000
z 0.000 0.000 8.018


<r2> (average value of r2) Å2
<r2> 115.047
(<r2>)1/2 10.726