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/CEP-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/CEP-31G*
 hartrees
Energy at 0K-44.784548
Energy at 298.15K-44.790364
Nuclear repulsion energy104.482798
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-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 3184 3075 0.00      
2 Ag 1621 1565 0.00      
3 Ag 1242 1199 0.00      
4 Ag 1026 991 0.00      
5 Ag 597 577 0.00      
6 Au 982 949 0.00      
7 Au 350 338 0.00      
8 B1g 948 915 0.00      
9 B1u 3156 3048 5.64      
10 B1u 1491 1440 0.37      
11 B1u 1153 1114 12.27      
12 B1u 1014 979 25.52      
13 B2g 968 935 0.00      
14 B2g 757 731 0.00      
15 B2u 3175 3066 87.51      
16 B2u 1430 1381 41.53      
17 B2u 1241 1198 5.27      
18 B2u 1078 1041 5.22      
19 B3g 3149 3041 0.00      
20 B3g 1559 1506 0.00      
21 B3g 1349 1303 0.00      
22 B3g 692 668 0.00      
23 B3u 806 778 54.63      
24 B3u 423 408 19.24      

Unscaled Zero Point Vibrational Energy (zpe) 16695.0 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 16122.4 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-31G*
ABC
0.21107 0.19063 0.10016

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.434
N2 0.000 0.000 -1.434
C3 0.000 1.140 0.712
C4 0.000 -1.140 0.712
C5 0.000 -1.140 -0.712
C6 0.000 1.140 -0.712
H7 0.000 2.084 1.269
H8 0.000 -2.084 1.269
H9 0.000 -2.084 -1.269
H10 0.000 2.084 -1.269

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.86831.34931.34932.43012.43012.09082.09083.41353.4135
N22.86832.43012.43011.34931.34933.41353.41352.09082.0908
C31.34932.43012.27952.68781.42411.09663.27183.78412.1948
C41.34932.43012.27951.42412.68783.27181.09662.19483.7841
C52.43011.34932.68781.42412.27953.78412.19481.09663.2718
C62.43011.34931.42412.68782.27952.19483.78413.27181.0966
H72.09083.41351.09663.27183.78412.19484.16864.88052.5382
H82.09083.41353.27181.09662.19483.78414.16862.53824.8805
H93.41352.09083.78412.19481.09663.27184.88052.53824.1686
H103.41352.09082.19483.78413.27181.09662.53824.88054.1686

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.357 N1 C3 H7 117.113
N1 C4 C5 122.357 N1 C4 H8 117.113
N2 C5 C4 122.357 N2 C5 H9 117.113
N2 C6 C3 122.357 N2 C6 H10 117.113
C3 N1 C4 115.285 C3 C6 H10 120.529
C4 C5 H9 120.529 C5 N2 C6 115.285
C5 C4 H8 120.529 C6 C3 H7 120.529
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.291      
2 N 0.291      
3 C -0.411      
4 C -0.411      
5 C -0.411      
6 C -0.411      
7 H 0.265      
8 H 0.265      
9 H 0.265      
10 H 0.265      


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 -35.902 0.000 0.000
y 0.000 -25.707 0.000
z 0.000 0.000 -41.083
Traceless
 xyz
x -2.507 0.000 0.000
y 0.000 12.786 0.000
z 0.000 0.000 -10.279
Polar
3z2-r2-20.558
x2-y2-10.195
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.881 0.000 0.000
y 0.000 9.704 0.000
z 0.000 0.000 8.523


<r2> (average value of r2) Å2
<r2> 94.665
(<r2>)1/2 9.730