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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-262.774683
Energy at 298.15K-262.780675
Nuclear repulsion energy207.913051
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 mPW1PW91/3-21G
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 3250 3102 0.00      
2 Ag 1590 1518 0.00      
3 Ag 1280 1222 0.00      
4 Ag 1041 994 0.00      
5 Ag 629 601 0.00      
6 Au 1064 1016 0.00      
7 Au 351 335 0.00      
8 B1g 985 941 0.00      
9 B1u 3224 3078 9.82      
10 B1u 1519 1450 18.22      
11 B1u 1175 1121 0.12      
12 B1u 1025 978 31.12      
13 B2g 1061 1013 0.00      
14 B2g 815 778 0.00      
15 B2u 3240 3093 44.77      
16 B2u 1456 1390 31.03      
17 B2u 1198 1144 2.83      
18 B2u 1096 1046 8.53      
19 B3g 3221 3075 0.00      
20 B3g 1542 1472 0.00      
21 B3g 1407 1343 0.00      
22 B3g 736 703 0.00      
23 B3u 840 802 43.57      
24 B3u 453 433 24.26      

Unscaled Zero Point Vibrational Energy (zpe) 17099.0 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 16322.7 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 mPW1PW91/3-21G
ABC
0.20960 0.19906 0.10210

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.404
N2 0.000 0.000 -1.404
C3 0.000 1.146 0.695
C4 0.000 -1.146 0.695
C5 0.000 -1.146 -0.695
C6 0.000 1.146 -0.695
H7 0.000 2.074 1.252
H8 0.000 -2.074 1.252
H9 0.000 -2.074 -1.252
H10 0.000 2.074 -1.252

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.80701.34761.34762.39142.39142.07992.07993.37013.3701
N22.80702.39142.39141.34761.34763.37013.37012.07992.0799
C31.34762.39142.29282.68141.39031.08253.26863.76382.1574
C41.34762.39142.29281.39032.68143.26861.08252.15743.7638
C52.39141.34762.68141.39032.29283.76382.15741.08253.2686
C62.39141.34761.39032.68142.29282.15743.76383.26861.0825
H72.07993.37011.08253.26863.76382.15744.14874.84632.5050
H82.07993.37013.26861.08252.15743.76384.14872.50504.8463
H93.37012.07993.76382.15741.08253.26864.84632.50504.1487
H103.37012.07992.15743.76383.26861.08252.50504.84634.1487

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 121.712 N1 C3 H7 117.299
N1 C4 C5 121.712 N1 C4 H8 117.299
N2 C5 C4 121.712 N2 C5 H9 117.299
N2 C6 C3 121.712 N2 C6 H10 117.299
C3 N1 C4 116.575 C3 C6 H10 120.989
C4 C5 H9 120.989 C5 N2 C6 116.575
C5 C4 H8 120.989 C6 C3 H7 120.989
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.510      
2 N -0.510      
3 C 0.002      
4 C 0.002      
5 C 0.002      
6 C 0.002      
7 H 0.253      
8 H 0.253      
9 H 0.253      
10 H 0.253      


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 -36.186 0.000 0.000
y 0.000 -26.035 0.000
z 0.000 0.000 -41.118
Traceless
 xyz
x -2.609 0.000 0.000
y 0.000 12.617 0.000
z 0.000 0.000 -10.008
Polar
3z2-r2-20.016
x2-y2-10.151
xy0.000
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 115.717
(<r2>)1/2 10.757