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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: B3LYP/CEP-121G

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/CEP-121G
 hartrees
Energy at 0K-44.710417
Energy at 298.15K-44.716299
Nuclear repulsion energy104.035376
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/CEP-121G
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 3191 3110 0.00      
2 Ag 1564 1524 0.00      
3 Ag 1246 1214 0.00      
4 Ag 995 970 0.00      
5 Ag 600 584 0.00      
6 Au 976 951 0.00      
7 Au 342 333 0.00      
8 B1g 950 926 0.00      
9 B1u 3166 3085 7.14      
10 B1u 1480 1442 8.42      
11 B1u 1139 1110 3.70      
12 B1u 998 973 25.72      
13 B2g 983 958 0.00      
14 B2g 769 750 0.00      
15 B2u 3183 3102 88.15      
16 B2u 1423 1386 35.64      
17 B2u 1196 1166 3.76      
18 B2u 1070 1043 9.53      
19 B3g 3164 3083 0.00      
20 B3g 1528 1490 0.00      
21 B3g 1374 1339 0.00      
22 B3g 706 688 0.00      
23 B3u 813 792 44.21      
24 B3u 441 430 24.92      

Unscaled Zero Point Vibrational Energy (zpe) 16646.8 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 16222.3 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 B3LYP/CEP-121G
ABC
0.20516 0.19218 0.09923

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.428
N2 0.000 0.000 -1.428
C3 0.000 1.160 0.708
C4 0.000 -1.160 0.708
C5 0.000 -1.160 -0.708
C6 0.000 1.160 -0.708
H7 0.000 2.088 1.274
H8 0.000 -2.088 1.274
H9 0.000 -2.088 -1.274
H10 0.000 2.088 -1.274

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.85591.36521.36522.43072.43072.09352.09353.41473.4147
N22.85592.43072.43071.36521.36523.41473.41472.09352.0935
C31.36522.43072.32012.71821.41621.08683.29683.80502.1886
C41.36522.43072.32011.41622.71823.29681.08682.18863.8050
C52.43071.36522.71821.41622.32013.80502.18861.08683.2968
C62.43071.36521.41622.71822.32012.18863.80503.29681.0868
H72.09353.41471.08683.29683.80502.18864.17564.89182.5482
H82.09353.41473.29681.08682.18863.80504.17562.54824.8918
H93.41472.09353.80502.18861.08683.29684.89182.54824.1756
H103.41472.09352.18863.80503.29681.08682.54824.89184.1756

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 121.820 N1 C3 H7 116.794
N1 C4 C5 121.820 N1 C4 H8 116.794
N2 C5 C4 121.820 N2 C5 H9 116.794
N2 C6 C3 121.820 N2 C6 H10 116.794
C3 N1 C4 116.361 C3 C6 H10 121.386
C4 C5 H9 121.386 C5 N2 C6 116.361
C5 C4 H8 121.386 C6 C3 H7 121.386
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.159      
2 N 0.159      
3 C -0.245      
4 C -0.245      
5 C -0.245      
6 C -0.245      
7 H 0.165      
8 H 0.165      
9 H 0.165      
10 H 0.165      


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 -36.321 0.000 0.000
y 0.000 -26.546 0.000
z 0.000 0.000 -43.270
Traceless
 xyz
x -1.413 0.000 0.000
y 0.000 13.249 0.000
z 0.000 0.000 -11.836
Polar
3z2-r2-23.672
x2-y2-9.774
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.036 0.000 0.000
y 0.000 10.542 0.000
z 0.000 0.000 8.592


<r2> (average value of r2) Å2
<r2> 95.971
(<r2>)1/2 9.796