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

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-296.247861
Energy at 298.15K-296.253079
Nuclear repulsion energy213.325619
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 mPW1PW91/6-31G**
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 3253 3095 0.00      
2 Ag 1532 1457 0.00      
3 Ag 1077 1025 0.00      
4 Ag 763 726 0.00      
5 Au 342 325 0.00      
6 B1u 3251 3094 7.12      
7 B1u 1260 1199 60.69      
8 B1u 1105 1051 2.46      
9 B2g 1004 956 0.00      
10 B2g 834 793 0.00      
11 B2u 1500 1427 2.18      
12 B2u 1176 1119 11.29      
13 B2u 1038 988 37.55      
14 B3g 1607 1529 0.00      
15 B3g 1338 1273 0.00      
16 B3g 650 618 0.00      
17 B3u 936 891 1.19      
18 B3u 257 245 55.88      

Unscaled Zero Point Vibrational Energy (zpe) 11460.5 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 10904.6 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 mPW1PW91/6-31G**
ABC
0.22962 0.21229 0.11031

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.260
C2 0.000 0.000 -1.260
N3 0.000 1.191 0.658
N4 0.000 -1.191 0.658
N5 0.000 -1.191 -0.658
N6 0.000 1.191 -0.658
H7 0.000 0.000 2.344
H8 0.000 0.000 -2.344

Atom - Atom Distances (Å)
  C1 C2 N3 N4 N5 N6 H7 H8
C12.51941.33401.33402.25732.25731.08423.6035
C22.51942.25732.25731.33401.33403.60351.0842
N31.33402.25732.38132.72091.31622.06393.2294
N41.33402.25732.38131.31622.72092.06393.2294
N52.25731.33402.72091.31622.38133.22942.0639
N62.25731.33401.31622.72092.38133.22942.0639
H71.08423.60352.06392.06393.22943.22944.6877
H83.60351.08423.22943.22942.06392.06394.6877

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 116.806 C1 N4 N5 116.806
C2 N5 N4 116.806 C2 N6 N3 116.806
N3 C1 N4 126.389 N3 C1 H7 116.806
N4 C1 H7 116.806 N5 C2 N6 126.389
N5 C2 H8 116.806 N6 C2 H8 116.806
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.235      
2 C 0.235      
3 N -0.212      
4 N -0.212      
5 N -0.212      
6 N -0.212      
7 H 0.190      
8 H 0.190      


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 -32.304 0.000 0.000
y 0.000 -43.277 0.000
z 0.000 0.000 -27.576
Traceless
 xyz
x 3.122 0.000 0.000
y 0.000 -13.337 0.000
z 0.000 0.000 10.215
Polar
3z2-r220.429
x2-y210.972
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.020 0.000 0.000
y 0.000 6.550 0.000
z 0.000 0.000 7.844


<r2> (average value of r2) Å2
<r2> 103.327
(<r2>)1/2 10.165