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All results from a given calculation for C2H2N4 (sym-tetrazine)

using model chemistry: PBEPBE/STO-3G

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/STO-3G
 hartrees
Energy at 0K-292.191209
Energy at 298.15K 
Nuclear repulsion energy200.326063
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/STO-3G
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 3344 3055 0.00      
2 Ag 1277 1166 0.00      
3 Ag 929 848 0.00      
4 Ag 680 621 0.00      
5 Au 192 175 0.00      
6 B1u 3342 3053 18.05      
7 B1u 1100 1005 49.75      
8 B1u 1026 937 2.33      
9 B2g 928 848 0.00      
10 B2g 748 684 0.00      
11 B2u 1417 1294 42.57      
12 B2u 1052 961 3.77      
13 B2u 733 670 6.89      
14 B3g 1436 1312 0.00      
15 B3g 1246 1139 0.00      
16 B3g 595 544 0.00      
17 B3u 852 778 1.86      
18 B3u 41i 38i 27.76      

Unscaled Zero Point Vibrational Energy (zpe) 10427.3 cm-1
Scaled (by 0.9136) Zero Point Vibrational Energy (zpe) 9526.3 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 PBEPBE/STO-3G
ABC
0.20773 0.18237 0.09711

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/STO-3G

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.299
C2 0.000 0.000 -1.299
N3 0.000 1.285 0.719
N4 0.000 -1.285 0.719
N5 0.000 -1.285 -0.719
N6 0.000 1.285 -0.719
H7 0.000 0.000 2.412
H8 0.000 0.000 -2.412

Atom - Atom Distances (Å)
  C1 C2 N3 N4 N5 N6 H7 H8
C12.59811.40971.40972.39192.39191.11303.7111
C22.59812.39192.39191.40971.40973.71111.1130
N31.40972.39192.56932.94391.43722.12563.3840
N41.40972.39192.56931.43722.94392.12563.3840
N52.39191.40972.94391.43722.56933.38402.1256
N62.39191.40971.43722.94392.56933.38402.1256
H71.11303.71112.12562.12563.38403.38404.8241
H83.71111.11303.38403.38402.12562.12564.8241

picture of sym-tetrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N3 N6 114.315 C1 N4 N5 114.315
C2 N5 N4 114.315 C2 N6 N3 114.315
N3 C1 N4 131.370 N3 C1 H7 114.315
N4 C1 H7 114.315 N5 C2 N6 131.370
N5 C2 H8 114.315 N6 C2 H8 114.315
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.049      
2 C 0.049      
3 N -0.088      
4 N -0.088      
5 N -0.088      
6 N -0.088      
7 H 0.127      
8 H 0.127      


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 -30.071 0.000 0.000
y 0.000 -40.879 0.000
z 0.000 0.000 -27.512
Traceless
 xyz
x 4.124 0.000 0.000
y 0.000 -12.087 0.000
z 0.000 0.000 7.963
Polar
3z2-r215.926
x2-y210.808
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.395 0.000 0.000
y 0.000 4.465 0.000
z 0.000 0.000 5.989


<r2> (average value of r2) Å2
<r2> 113.051
(<r2>)1/2 10.633