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: MP2/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at MP2/3-21G
 hartrees
Energy at 0K-261.759619
Energy at 298.15K-261.765524
HF Energy-261.189516
Nuclear repulsion energy205.356189
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 MP2/3-21G
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 3237 3090 0.00      
2 Ag 1538 1468 0.00      
3 Ag 1272 1214 0.00      
4 Ag 979 934 0.00      
5 Ag 626 598 0.00      
6 Au 1017 971 0.00      
7 Au 353 337 0.00      
8 B1g 966 922 0.00      
9 B1u 3213 3067 12.07      
10 B1u 1503 1435 19.81      
11 B1u 1157 1105 2.68      
12 B1u 985 941 24.12      
13 B2g 1010 964 0.00      
14 B2g 791 755 0.00      
15 B2u 3228 3081 40.60      
16 B2u 1443 1377 22.59      
17 B2u 1153 1101 11.42      
18 B2u 1048 1000 5.09      
19 B3g 3208 3062 0.00      
20 B3g 1468 1401 0.00      
21 B3g 1383 1320 0.00      
22 B3g 725 692 0.00      
23 B3u 820 783 36.79      
24 B3u 440 420 23.57      

Unscaled Zero Point Vibrational Energy (zpe) 16780.9 cm-1
Scaled (by 0.9545) Zero Point Vibrational Energy (zpe) 16017.4 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 MP2/3-21G
ABC
0.20482 0.19364 0.09954

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/3-21G

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.428
N2 0.000 0.000 -1.428
C3 0.000 1.161 0.700
C4 0.000 -1.161 0.700
C5 0.000 -1.161 -0.700
C6 0.000 1.161 -0.700
H7 0.000 2.089 1.261
H8 0.000 -2.089 1.261
H9 0.000 -2.089 -1.261
H10 0.000 2.089 -1.261

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.85691.37081.37082.42432.42432.09592.09593.40563.4056
N22.85692.42432.42431.37081.37083.40563.40562.09592.0959
C31.37082.42432.32212.71131.39951.08473.29843.79592.1694
C41.37082.42432.32211.39952.71133.29841.08472.16943.7959
C52.42431.37082.71131.39952.32213.79592.16941.08473.2984
C62.42431.37081.39952.71132.32212.16943.79593.29841.0847
H72.09593.40561.08473.29843.79592.16944.17854.88062.5221
H82.09593.40563.29841.08472.16943.79594.17852.52214.8806
H93.40562.09593.79592.16941.08473.29844.88062.52214.1785
H103.40562.09592.16943.79593.29841.08472.52214.88064.1785

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.112 N1 C3 H7 116.726
N1 C4 C5 122.112 N1 C4 H8 116.726
N2 C5 C4 122.112 N2 C5 H9 116.726
N2 C6 C3 122.112 N2 C6 H10 116.726
C3 N1 C4 115.777 C3 C6 H10 121.162
C4 C5 H9 121.162 C5 N2 C6 115.777
C5 C4 H8 121.162 C6 C3 H7 121.162
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at MP2/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.468     -0.443
2 N -0.468     -0.443
3 C 0.009     0.172
4 C 0.009     0.172
5 C 0.009     0.172
6 C 0.009     0.172
7 H 0.225     0.049
8 H 0.225     0.049
9 H 0.225     0.049
10 H 0.225     0.049


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 -36.649 0.000 0.000
y 0.000 -27.185 0.000
z 0.000 0.000 -42.291
Traceless
 xyz
x -1.911 0.000 0.000
y 0.000 12.285 0.000
z 0.000 0.000 -10.374
Polar
3z2-r2-20.748
x2-y2-9.464
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.260 0.000 0.000
y 0.000 9.292 0.000
z 0.000 0.000 7.218


<r2> (average value of r2) Å2
<r2> 118.519
(<r2>)1/2 10.887