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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: B3LYP/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 B3LYP/6-31G(2df,p)
 hartrees
Energy at 0K-264.332351
Energy at 298.15K-264.338267
Nuclear repulsion energy208.955608
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 B3LYP/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 3176 3065 0.00      
2 Ag 1617 1561 0.00      
3 Ag 1258 1214 0.00      
4 Ag 1043 1007 0.00      
5 Ag 609 588 0.00      
6 Au 1005 969 0.00      
7 Au 351 338 0.00      
8 B1g 955 921 0.00      
9 B1u 3154 3044 6.85      
10 B1u 1517 1464 1.60      
11 B1u 1169 1128 3.06      
12 B1u 1032 996 41.36      
13 B2g 996 961 0.00      
14 B2g 785 757 0.00      
15 B2u 3170 3059 69.61      
16 B2u 1443 1393 32.50      
17 B2u 1234 1191 3.34      
18 B2u 1091 1053 11.45      
19 B3g 3154 3043 0.00      
20 B3g 1582 1527 0.00      
21 B3g 1378 1329 0.00      
22 B3g 719 694 0.00      
23 B3u 814 786 16.88      
24 B3u 437 422 20.82      

Unscaled Zero Point Vibrational Energy (zpe) 16843.2 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 16253.7 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 B3LYP/6-31G(2df,p)
ABC
0.21464 0.19845 0.10311

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.405
N2 0.000 0.000 -1.405
C3 0.000 1.131 0.697
C4 0.000 -1.131 0.697
C5 0.000 -1.131 -0.697
C6 0.000 1.131 -0.697
H7 0.000 2.064 1.254
H8 0.000 -2.064 1.254
H9 0.000 -2.064 -1.254
H10 0.000 2.064 -1.254

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.81051.33431.33432.38682.38682.06972.06973.36633.3663
N22.81052.38682.38681.33431.33433.36633.36632.06972.0697
C31.33432.38682.26132.65621.39351.08723.24313.74332.1626
C41.33432.38682.26131.39352.65623.24311.08722.16263.7433
C52.38681.33432.65621.39352.26133.74332.16261.08723.2431
C62.38681.33431.39352.65622.26132.16263.74333.24311.0872
H72.06973.36631.08723.24313.74332.16264.12844.83042.5079
H82.06973.36633.24311.08722.16263.74334.12842.50794.8304
H93.36632.06973.74332.16261.08723.24314.83042.50794.1284
H103.36632.06972.16263.74333.24311.08722.50794.83044.1284

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.072 N1 C3 H7 117.097
N1 C4 C5 122.072 N1 C4 H8 117.097
N2 C5 C4 122.072 N2 C5 H9 117.097
N2 C6 C3 122.072 N2 C6 H10 117.097
C3 N1 C4 115.856 C3 C6 H10 120.832
C4 C5 H9 120.832 C5 N2 C6 115.856
C5 C4 H8 120.832 C6 C3 H7 120.832
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.227      
2 N -0.227      
3 C -0.005      
4 C -0.005      
5 C -0.005      
6 C -0.005      
7 H 0.118      
8 H 0.118      
9 H 0.118      
10 H 0.118      


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 -34.940 0.000 0.000
y 0.000 -26.880 0.000
z 0.000 0.000 -39.987
Traceless
 xyz
x -1.507 0.000 0.000
y 0.000 10.584 0.000
z 0.000 0.000 -9.077
Polar
3z2-r2-18.155
x2-y2-8.060
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.643 0.000 0.000
y 0.000 10.028 0.000
z 0.000 0.000 8.199


<r2> (average value of r2) Å2
<r2> 114.509
(<r2>)1/2 10.701