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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: mPW1PW91/aug-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/aug-cc-pVDZ
 hartrees
Energy at 0K-264.284443
Energy at 298.15K-264.290374
Nuclear repulsion energy208.956510
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/aug-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 3211 3077 0.00      
2 Ag 1651 1582 0.00      
3 Ag 1256 1203 0.00      
4 Ag 1057 1013 0.00      
5 Ag 607 581 0.00      
6 Au 1005 963 0.00      
7 Au 350 335 0.00      
8 B1g 949 909 0.00      
9 B1u 3190 3057 2.45      
10 B1u 1521 1457 0.66      
11 B1u 1174 1125 8.27      
12 B1u 1036 993 31.51      
13 B2g 984 943 0.00      
14 B2g 780 747 0.00      
15 B2u 3205 3072 60.18      
16 B2u 1447 1387 35.75      
17 B2u 1274 1221 6.50      
18 B2u 1099 1053 9.83      
19 B3g 3189 3056 0.00      
20 B3g 1622 1554 0.00      
21 B3g 1367 1310 0.00      
22 B3g 719 689 0.00      
23 B3u 807 774 31.69      
24 B3u 432 414 23.91      

Unscaled Zero Point Vibrational Energy (zpe) 16965.2 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 16257.8 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/aug-cc-pVDZ
ABC
0.21484 0.19834 0.10313

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

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 1.130 0.698
C4 0.000 -1.130 0.698
C5 0.000 -1.130 -0.698
C6 0.000 1.130 -0.698
H7 0.000 2.067 1.255
H8 0.000 -2.067 1.255
H9 0.000 -2.067 -1.255
H10 0.000 2.067 -1.255

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.81001.33281.33282.38672.38672.07272.07273.36913.3691
N22.81002.38672.38671.33281.33283.36913.36912.07272.0727
C31.33282.38672.25902.65511.39511.09113.24513.74602.1663
C41.33282.38672.25901.39512.65513.24511.09112.16633.7460
C52.38671.33282.65511.39512.25903.74602.16631.09113.2451
C62.38671.33281.39512.65512.25902.16633.74603.24511.0911
H72.07273.36911.09113.24513.74602.16634.13464.83712.5105
H82.07273.36913.24511.09112.16633.74604.13462.51054.8371
H93.36912.07273.74602.16631.09113.24514.83712.51054.1346
H103.36912.07272.16633.74603.24511.09112.51054.83714.1346

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.062 N1 C3 H7 117.198
N1 C4 C5 122.062 N1 C4 H8 117.198
N2 C5 C4 122.062 N2 C5 H9 117.198
N2 C6 C3 122.062 N2 C6 H10 117.198
C3 N1 C4 115.876 C3 C6 H10 120.740
C4 C5 H9 120.740 C5 N2 C6 115.876
C5 C4 H8 120.740 C6 C3 H7 120.740
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.432      
2 N -0.432      
3 C 0.568      
4 C 0.568      
5 C 0.568      
6 C 0.568      
7 H -0.352      
8 H -0.352      
9 H -0.352      
10 H -0.352      


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 -36.046 0.000 0.000
y 0.000 -26.703 0.000
z 0.000 0.000 -41.180
Traceless
 xyz
x -2.105 0.000 0.000
y 0.000 11.910 0.000
z 0.000 0.000 -9.806
Polar
3z2-r2-19.611
x2-y2-9.343
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.431 0.000 0.000
y 0.000 11.032 0.000
z 0.000 0.000 9.564


<r2> (average value of r2) Å2
<r2> 114.968
(<r2>)1/2 10.722