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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: B3LYPultrafine/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at B3LYPultrafine/6-31+G**
 hartrees
Energy at 0K-264.334274
Energy at 298.15K-264.340163
Nuclear repulsion energy208.339593
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 B3LYPultrafine/6-31+G**
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 3193 3074 0.00      
2 Ag 1622 1561 0.00      
3 Ag 1256 1209 0.00      
4 Ag 1040 1001 0.00      
5 Ag 608 586 0.00      
6 Au 996 958 0.00      
7 Au 351 337 0.00      
8 B1g 943 908 0.00      
9 B1u 3174 3055 3.24      
10 B1u 1516 1460 0.23      
11 B1u 1166 1122 8.42      
12 B1u 1032 993 30.06      
13 B2g 983 946 0.00      
14 B2g 767 739 0.00      
15 B2u 3188 3069 65.93      
16 B2u 1445 1391 31.49      
17 B2u 1241 1195 3.62      
18 B2u 1092 1051 11.16      
19 B3g 3173 3055 0.00      
20 B3g 1589 1529 0.00      
21 B3g 1376 1324 0.00      
22 B3g 719 692 0.00      
23 B3u 804 774 31.27      
24 B3u 432 416 25.47      

Unscaled Zero Point Vibrational Energy (zpe) 16851.2 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 16222.6 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 B3LYPultrafine/6-31+G**
ABC
0.21330 0.19726 0.10248

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31+G**

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 1.135 0.699
C4 0.000 -1.135 0.699
C5 0.000 -1.135 -0.699
C6 0.000 1.135 -0.699
H7 0.000 2.068 1.257
H8 0.000 -2.068 1.257
H9 0.000 -2.068 -1.257
H10 0.000 2.068 -1.257

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.81841.33841.33842.39442.39442.07362.07363.37443.3744
N22.81842.39442.39441.33841.33843.37443.37442.07362.0736
C31.33842.39442.26922.66561.39851.08753.25093.75302.1677
C41.33842.39442.26921.39852.66563.25091.08752.16773.7530
C52.39441.33842.66561.39852.26923.75302.16771.08753.2509
C62.39441.33841.39852.66562.26922.16773.75303.25091.0875
H72.07363.37441.08753.25093.75302.16774.13614.84042.5145
H82.07363.37443.25091.08752.16773.75304.13612.51454.8404
H93.37442.07363.75302.16771.08753.25094.84042.51454.1361
H103.37442.07362.16773.75303.25091.08752.51454.84044.1361

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.036 N1 C3 H7 117.093
N1 C4 C5 122.036 N1 C4 H8 117.093
N2 C5 C4 122.036 N2 C5 H9 117.093
N2 C6 C3 122.036 N2 C6 H10 117.093
C3 N1 C4 115.928 C3 C6 H10 120.872
C4 C5 H9 120.872 C5 N2 C6 115.928
C5 C4 H8 120.872 C6 C3 H7 120.872
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.203      
2 N -0.203      
3 C -0.038      
4 C -0.038      
5 C -0.038      
6 C -0.038      
7 H 0.140      
8 H 0.140      
9 H 0.140      
10 H 0.140      


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 -36.330 0.000 0.000
y 0.000 -27.075 0.000
z 0.000 0.000 -42.139
Traceless
 xyz
x -1.723 0.000 0.000
y 0.000 12.159 0.000
z 0.000 0.000 -10.437
Polar
3z2-r2-20.874
x2-y2-9.255
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.979 0.000 0.000
y 0.000 10.678 0.000
z 0.000 0.000 9.405


<r2> (average value of r2) Å2
<r2> 115.837
(<r2>)1/2 10.763