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

using model chemistry: HSEh1PBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at HSEh1PBE/6-31+G**
 hartrees
Energy at 0K-296.028873
Energy at 298.15K-296.034085
HF Energy-296.028873
Nuclear repulsion energy213.352105
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 HSEh1PBE/6-31+G**
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 3252 3105 0.00      
2 Ag 1534 1464 0.00      
3 Ag 1076 1027 0.00      
4 Ag 762 727 0.00      
5 Au 338 323 0.00      
6 B1u 3251 3104 3.90      
7 B1u 1258 1201 58.02      
8 B1u 1104 1054 0.85      
9 B2g 998 953 0.00      
10 B2g 824 787 0.00      
11 B2u 1494 1426 1.32      
12 B2u 1173 1120 9.57      
13 B2u 1048 1000 37.52      
14 B3g 1601 1529 0.00      
15 B3g 1333 1273 0.00      
16 B3g 651 621 0.00      
17 B3u 935 893 1.74      
18 B3u 254 243 59.38      

Unscaled Zero Point Vibrational Energy (zpe) 11442.4 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 10925.2 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 HSEh1PBE/6-31+G**
ABC
0.22961 0.21240 0.11033

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.261
C2 0.000 0.000 -1.261
N3 0.000 1.190 0.657
N4 0.000 -1.190 0.657
N5 0.000 -1.190 -0.657
N6 0.000 1.190 -0.657
H7 0.000 0.000 2.346
H8 0.000 0.000 -2.346

Atom - Atom Distances (Å)
  C1 C2 N3 N4 N5 N6 H7 H8
C12.52131.33461.33462.25722.25721.08513.6064
C22.52132.25722.25721.33461.33463.60641.0851
N31.33462.25722.38072.71941.31422.06603.2302
N41.33462.25722.38071.31422.71942.06603.2302
N52.25721.33462.71941.31422.38073.23022.0660
N62.25721.33461.31422.71942.38073.23022.0660
H71.08513.60642.06602.06603.23023.23024.6915
H83.60641.08513.23023.23022.06602.06604.6915

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 116.886 C1 N4 N5 116.886
C2 N5 N4 116.886 C2 N6 N3 116.886
N3 C1 N4 126.229 N3 C1 H7 116.886
N4 C1 H7 116.886 N5 C2 N6 126.229
N5 C2 H8 116.886 N6 C2 H8 116.886
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.045      
2 C -0.045      
3 N -0.073      
4 N -0.073      
5 N -0.073      
6 N -0.073      
7 H 0.191      
8 H 0.191      


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 -32.943 0.000 0.000
y 0.000 -44.639 0.000
z 0.000 0.000 -28.240
Traceless
 xyz
x 3.497 0.000 0.000
y 0.000 -14.047 0.000
z 0.000 0.000 10.550
Polar
3z2-r221.101
x2-y211.696
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.287 0.000 0.000
y 0.000 7.840 0.000
z 0.000 0.000 8.615


<r2> (average value of r2) Å2
<r2> 103.873
(<r2>)1/2 10.192