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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: mPW1PW91/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-264.267701
Energy at 298.15K-264.273625
Nuclear repulsion energy208.901891
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/cc-pVDZ
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 3208 3074 0.00      
2 Ag 1661 1592 0.00      
3 Ag 1256 1204 0.00      
4 Ag 1061 1017 0.00      
5 Ag 605 580 0.00      
6 Au 1009 967 0.00      
7 Au 350 335 0.00      
8 B1g 950 911 0.00      
9 B1u 3186 3053 5.50      
10 B1u 1525 1461 0.87      
11 B1u 1176 1127 7.75      
12 B1u 1037 994 37.35      
13 B2g 996 954 0.00      
14 B2g 783 751 0.00      
15 B2u 3202 3069 60.05      
16 B2u 1449 1388 36.14      
17 B2u 1279 1226 3.14      
18 B2u 1101 1055 7.65      
19 B3g 3186 3053 0.00      
20 B3g 1623 1555 0.00      
21 B3g 1362 1306 0.00      
22 B3g 720 690 0.00      
23 B3u 808 775 25.28      
24 B3u 430 412 19.62      

Unscaled Zero Point Vibrational Energy (zpe) 16982.1 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 16273.9 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/cc-pVDZ
ABC
0.21537 0.19772 0.10308

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/cc-pVDZ

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 1.128 0.697
C4 0.000 -1.128 0.697
C5 0.000 -1.128 -0.697
C6 0.000 1.128 -0.697
H7 0.000 2.067 1.257
H8 0.000 -2.067 1.257
H9 0.000 -2.067 -1.257
H10 0.000 2.067 -1.257

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.81711.33341.33342.38872.38872.07272.07273.37283.3728
N22.81712.38872.38871.33341.33343.37283.37282.07272.0727
C31.33342.38872.25552.65171.39431.09333.24353.74492.1678
C41.33342.38872.25551.39432.65173.24351.09332.16783.7449
C52.38871.33342.65171.39432.25553.74492.16781.09333.2435
C62.38871.33341.39432.65172.25552.16783.74493.24351.0933
H72.07273.37281.09333.24353.74492.16784.13434.83822.5131
H82.07273.37283.24351.09332.16783.74494.13432.51314.8382
H93.37282.07273.74492.16781.09333.24354.83822.51314.1343
H103.37282.07272.16783.74493.24351.09332.51314.83824.1343

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.244 N1 C3 H7 116.984
N1 C4 C5 122.244 N1 C4 H8 116.984
N2 C5 C4 122.244 N2 C5 H9 116.984
N2 C6 C3 122.244 N2 C6 H10 116.984
C3 N1 C4 115.512 C3 C6 H10 120.772
C4 C5 H9 120.772 C5 N2 C6 115.512
C5 C4 H8 120.772 C6 C3 H7 120.772
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.191      
2 N -0.191      
3 C 0.063      
4 C 0.063      
5 C 0.063      
6 C 0.063      
7 H 0.032      
8 H 0.032      
9 H 0.032      
10 H 0.032      


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 -35.389 0.000 0.000
y 0.000 -26.851 0.000
z 0.000 0.000 -39.889
Traceless
 xyz
x -2.019 0.000 0.000
y 0.000 10.788 0.000
z 0.000 0.000 -8.769
Polar
3z2-r2-17.538
x2-y2-8.538
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> 114.635
(<r2>)1/2 10.707