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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: mPW1PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-264.267524
Energy at 298.15K-264.273457
Nuclear repulsion energy209.595180
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 mPW1PW91/6-31G(2df,p)
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 3205 3060 0.00      
2 Ag 1649 1574 0.00      
3 Ag 1265 1208 0.00      
4 Ag 1060 1012 0.00      
5 Ag 606 579 0.00      
6 Au 1016 970 0.00      
7 Au 350 334 0.00      
8 B1g 961 918 0.00      
9 B1u 3183 3039 5.47      
10 B1u 1530 1461 1.49      
11 B1u 1181 1127 5.18      
12 B1u 1037 991 40.05      
13 B2g 1006 960 0.00      
14 B2g 792 756 0.00      
15 B2u 3199 3054 62.11      
16 B2u 1454 1388 36.04      
17 B2u 1267 1209 4.41      
18 B2u 1102 1052 10.16      
19 B3g 3183 3038 0.00      
20 B3g 1618 1545 0.00      
21 B3g 1379 1317 0.00      
22 B3g 721 688 0.00      
23 B3u 818 781 20.18      
24 B3u 436 416 21.19      

Unscaled Zero Point Vibrational Energy (zpe) 17007.7 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 16237.3 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 mPW1PW91/6-31G(2df,p)
ABC
0.21620 0.19949 0.10376

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.401
N2 0.000 0.000 -1.401
C3 0.000 1.126 0.695
C4 0.000 -1.126 0.695
C5 0.000 -1.126 -0.695
C6 0.000 1.126 -0.695
H7 0.000 2.059 1.252
H8 0.000 -2.059 1.252
H9 0.000 -2.059 -1.252
H10 0.000 2.059 -1.252

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.80291.32951.32952.37982.37982.06452.06453.35833.3583
N22.80292.37982.37981.32951.32953.35833.35832.06452.0645
C31.32952.37982.25242.64671.38991.08633.23363.73302.1585
C41.32952.37982.25241.38992.64673.23361.08632.15853.7330
C52.37981.32952.64671.38992.25243.73302.15851.08633.2336
C62.37981.32951.38992.64672.25242.15853.73303.23361.0863
H72.06453.35831.08633.23363.73302.15854.11824.81932.5032
H82.06453.35833.23361.08632.15853.73304.11822.50324.8193
H93.35832.06453.73302.15851.08633.23364.81932.50324.1182
H103.35832.06452.15853.73303.23361.08632.50324.81934.1182

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.100 N1 C3 H7 117.077
N1 C4 C5 122.100 N1 C4 H8 117.077
N2 C5 C4 122.100 N2 C5 H9 117.077
N2 C6 C3 122.100 N2 C6 H10 117.077
C3 N1 C4 115.800 C3 C6 H10 120.823
C4 C5 H9 120.823 C5 N2 C6 115.800
C5 C4 H8 120.823 C6 C3 H7 120.823
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.257      
2 N -0.257      
3 C -0.020      
4 C -0.020      
5 C -0.020      
6 C -0.020      
7 H 0.149      
8 H 0.149      
9 H 0.149      
10 H 0.149      


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 -34.961 0.000 0.000
y 0.000 -26.341 0.000
z 0.000 0.000 -39.646
Traceless
 xyz
x -1.968 0.000 0.000
y 0.000 10.963 0.000
z 0.000 0.000 -8.995
Polar
3z2-r2-17.989
x2-y2-8.621
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.682 0.000 0.000
y 0.000 9.922 0.000
z 0.000 0.000 8.166


<r2> (average value of r2) Å2
<r2> 113.770
(<r2>)1/2 10.666