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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: PBEPBE/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 PBEPBE/6-31G**
 hartrees
Energy at 0K-264.002403
Energy at 298.15K-264.008131
Nuclear repulsion energy207.237870
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 PBEPBE/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 3110 3068 0.00      
2 Ag 1576 1554 0.00      
3 Ag 1224 1207 0.00      
4 Ag 1017 1003 0.00      
5 Ag 586 578 0.00      
6 Au 953 940 0.00      
7 Au 310 306 0.00      
8 B1g 913 901 0.00      
9 B1u 3089 3047 10.58      
10 B1u 1472 1452 1.55      
11 B1u 1139 1123 4.72      
12 B1u 997 984 32.95      
13 B2g 948 935 0.00      
14 B2g 753 743 0.00      
15 B2u 3104 3061 77.77      
16 B2u 1408 1389 27.35      
17 B2u 1256 1239 0.27      
18 B2u 1065 1050 9.14      
19 B3g 3089 3047 0.00      
20 B3g 1542 1521 0.00      
21 B3g 1334 1315 0.00      
22 B3g 699 689 0.00      
23 B3u 773 762 20.26      
24 B3u 409 403 19.28      

Unscaled Zero Point Vibrational Energy (zpe) 16381.6 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 16157.1 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 PBEPBE/6-31G**
ABC
0.21198 0.19446 0.10142

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.422
N2 0.000 0.000 -1.422
C3 0.000 1.137 0.702
C4 0.000 -1.137 0.702
C5 0.000 -1.137 -0.702
C6 0.000 1.137 -0.702
H7 0.000 2.080 1.264
H8 0.000 -2.080 1.264
H9 0.000 -2.080 -1.264
H10 0.000 2.080 -1.264

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.84351.34611.34612.40892.40892.08562.08563.39653.3965
N22.84352.40892.40891.34611.34613.39653.39652.08562.0856
C31.34612.40892.27472.67281.40351.09713.26573.76992.1797
C41.34612.40892.27471.40352.67283.26571.09712.17973.7699
C52.40891.34612.67281.40352.27473.76992.17971.09713.2657
C62.40891.34611.40352.67282.27472.17973.76993.26571.0971
H72.08563.39651.09713.26573.76992.17974.15924.86692.5274
H82.08563.39653.26571.09712.17973.76994.15922.52744.8669
H93.39652.08563.76992.17971.09713.26574.86692.52744.1592
H103.39652.08562.17973.76993.26571.09712.52744.86694.1592

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.336 N1 C3 H7 116.852
N1 C4 C5 122.336 N1 C4 H8 116.852
N2 C5 C4 122.336 N2 C5 H9 116.852
N2 C6 C3 122.336 N2 C6 H10 116.852
C3 N1 C4 115.327 C3 C6 H10 120.812
C4 C5 H9 120.812 C5 N2 C6 115.327
C5 C4 H8 120.812 C6 C3 H7 120.812
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.374      
2 N -0.374      
3 C 0.067      
4 C 0.067      
5 C 0.067      
6 C 0.067      
7 H 0.120      
8 H 0.120      
9 H 0.120      
10 H 0.120      


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 -35.197 0.000 0.000
y 0.000 -26.820 0.000
z 0.000 0.000 -40.147
Traceless
 xyz
x -1.713 0.000 0.000
y 0.000 10.852 0.000
z 0.000 0.000 -9.139
Polar
3z2-r2-18.278
x2-y2-8.377
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.135 0.000 0.000
y 0.000 10.158 0.000
z 0.000 0.000 8.267


<r2> (average value of r2) Å2
<r2> 116.121
(<r2>)1/2 10.776