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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: PBEPBE/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 PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-264.014204
Energy at 298.15K-264.019940
Nuclear repulsion energy206.995070
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 PBEPBE/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 3095 3077 0.00      
2 Ag 1575 1566 0.00      
3 Ag 1210 1203 0.00      
4 Ag 1016 1010 0.00      
5 Ag 584 581 0.00      
6 Au 958 953 0.00      
7 Au 309 307 0.00      
8 B1g 910 905 0.00      
9 B1u 3073 3055 9.27      
10 B1u 1458 1449 1.14      
11 B1u 1132 1126 5.08      
12 B1u 997 991 34.68      
13 B2g 949 944 0.00      
14 B2g 755 750 0.00      
15 B2u 3089 3071 77.39      
16 B2u 1392 1384 28.62      
17 B2u 1259 1252 0.20      
18 B2u 1057 1051 7.00      
19 B3g 3073 3056 0.00      
20 B3g 1537 1529 0.00      
21 B3g 1311 1303 0.00      
22 B3g 694 690 0.00      
23 B3u 770 766 21.90      
24 B3u 404 402 16.63      

Unscaled Zero Point Vibrational Energy (zpe) 16303.7 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 16209.1 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 PBEPBE/cc-pVDZ
ABC
0.21205 0.19363 0.10121

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.425
N2 0.000 0.000 -1.425
C3 0.000 1.136 0.703
C4 0.000 -1.136 0.703
C5 0.000 -1.136 -0.703
C6 0.000 1.136 -0.703
H7 0.000 2.085 1.268
H8 0.000 -2.085 1.268
H9 0.000 -2.085 -1.268
H10 0.000 2.085 -1.268

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.85051.34671.34672.41222.41222.09052.09053.40543.4054
N22.85052.41222.41221.34671.34673.40543.40542.09052.0905
C31.34672.41222.27272.67201.40511.10383.27003.77572.1865
C41.34672.41222.27271.40512.67203.27001.10382.18653.7757
C52.41221.34672.67201.40512.27273.77572.18651.10383.2700
C62.41221.34671.40512.67202.27272.18653.77573.27001.1038
H72.09053.40541.10383.27003.77572.18654.16904.87942.5353
H82.09053.40543.27001.10382.18653.77574.16902.53534.8794
H93.40542.09053.77572.18651.10383.27004.87942.53534.1690
H103.40542.09052.18653.77573.27001.10382.53534.87944.1690

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.456 N1 C3 H7 116.750
N1 C4 C5 122.456 N1 C4 H8 116.750
N2 C5 C4 122.456 N2 C5 H9 116.750
N2 C6 C3 122.456 N2 C6 H10 116.750
C3 N1 C4 115.088 C3 C6 H10 120.794
C4 C5 H9 120.794 C5 N2 C6 115.088
C5 C4 H8 120.794 C6 C3 H7 120.794
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.144      
2 N -0.144      
3 C 0.060      
4 C 0.060      
5 C 0.060      
6 C 0.060      
7 H 0.012      
8 H 0.012      
9 H 0.012      
10 H 0.012      


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 -35.395 0.000 0.000
y 0.000 -27.491 0.000
z 0.000 0.000 -39.879
Traceless
 xyz
x -1.710 0.000 0.000
y 0.000 10.146 0.000
z 0.000 0.000 -8.436
Polar
3z2-r2-16.872
x2-y2-7.904
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.454 0.000 0.000
y 0.000 10.526 0.000
z 0.000 0.000 8.414


<r2> (average value of r2) Å2
<r2> 116.480
(<r2>)1/2 10.793