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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: B3LYP/CEP-31G

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-31G
 hartrees
Energy at 0K-44.696969
Energy at 298.15K-44.702798
Nuclear repulsion energy103.552222
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-31G
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 3226 3124 0.00      
2 Ag 1573 1523 0.00      
3 Ag 1245 1205 0.00      
4 Ag 996 965 0.00      
5 Ag 600 581 0.00      
6 Au 987 956 0.00      
7 Au 347 336 0.00      
8 B1g 956 926 0.00      
9 B1u 3194 3093 4.34      
10 B1u 1463 1417 9.25      
11 B1u 1133 1097 6.05      
12 B1u 997 966 20.06      
13 B2g 977 946 0.00      
14 B2g 763 738 0.00      
15 B2u 3215 3114 85.31      
16 B2u 1418 1373 46.03      
17 B2u 1212 1174 6.05      
18 B2u 1072 1038 3.21      
19 B3g 3186 3086 0.00      
20 B3g 1518 1470 0.00      
21 B3g 1357 1314 0.00      
22 B3g 694 672 0.00      
23 B3u 816 790 64.44      
24 B3u 432 418 25.52      

Unscaled Zero Point Vibrational Energy (zpe) 16687.4 cm-1
Scaled (by 0.9684) Zero Point Vibrational Energy (zpe) 16160.1 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-31G
ABC
0.20477 0.18893 0.09826

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.440
N2 0.000 0.000 -1.440
C3 0.000 1.160 0.715
C4 0.000 -1.160 0.715
C5 0.000 -1.160 -0.715
C6 0.000 1.160 -0.715
H7 0.000 2.096 1.279
H8 0.000 -2.096 1.279
H9 0.000 -2.096 -1.279
H10 0.000 2.096 -1.279

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.88071.36841.36842.44772.44772.10202.10203.43323.4332
N22.88072.44772.44771.36841.36843.43323.43322.10202.1020
C31.36842.44772.32062.72571.42981.09243.30453.81802.2024
C41.36842.44772.32061.42982.72573.30451.09242.20243.8180
C52.44771.36842.72571.42982.32063.81802.20241.09243.3045
C62.44771.36841.42982.72572.32062.20243.81803.30451.0924
H72.10203.43321.09243.30453.81802.20244.19154.91042.5580
H82.10203.43323.30451.09242.20243.81804.19152.55804.9104
H93.43322.10203.81802.20241.09243.30454.91042.55804.1915
H103.43322.10202.20243.81803.30451.09242.55804.91044.1915

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.015 N1 C3 H7 116.895
N1 C4 C5 122.015 N1 C4 H8 116.895
N2 C5 C4 122.015 N2 C5 H9 116.895
N2 C6 C3 122.015 N2 C6 H10 116.895
C3 N1 C4 115.970 C3 C6 H10 121.090
C4 C5 H9 121.090 C5 N2 C6 115.970
C5 C4 H8 121.090 C6 C3 H7 121.090
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.254      
2 N 0.254      
3 C -0.387      
4 C -0.387      
5 C -0.387      
6 C -0.387      
7 H 0.260      
8 H 0.260      
9 H 0.260      
10 H 0.260      


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 -36.331 0.000 0.000
y 0.000 -25.474 0.000
z 0.000 0.000 -43.564
Traceless
 xyz
x -1.812 0.000 0.000
y 0.000 14.474 0.000
z 0.000 0.000 -12.662
Polar
3z2-r2-25.324
x2-y2-10.858
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.623 0.000 0.000
y 0.000 9.611 0.000
z 0.000 0.000 8.366


<r2> (average value of r2) Å2
<r2> 96.513
(<r2>)1/2 9.824