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

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G*
 hartrees
Energy at 0K-295.990772
Energy at 298.15K-295.995974
HF Energy-295.990772
Nuclear repulsion energy213.301715
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 PBE1PBE/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 3258 3096 0.00      
2 Ag 1535 1459 0.00      
3 Ag 1079 1025 0.00      
4 Ag 764 726 0.00      
5 Au 340 323 0.00      
6 B1u 3257 3095 8.20      
7 B1u 1261 1198 60.76      
8 B1u 1104 1050 2.42      
9 B2g 1002 953 0.00      
10 B2g 834 793 0.00      
11 B2u 1503 1429 2.21      
12 B2u 1179 1120 10.53      
13 B2u 1045 993 37.83      
14 B3g 1610 1530 0.00      
15 B3g 1341 1274 0.00      
16 B3g 649 617 0.00      
17 B3u 933 886 1.13      
18 B3u 255 242 55.51      

Unscaled Zero Point Vibrational Energy (zpe) 11474.6 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 10904.3 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 PBE1PBE/6-31G*
ABC
0.22984 0.21201 0.11028

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.259
C2 0.000 0.000 -1.259
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
C12.51711.33421.33422.25672.25671.08583.6029
C22.51712.25672.25671.33421.33423.60291.0858
N31.33422.25672.38292.72221.31602.06483.2301
N41.33422.25672.38291.31602.72222.06483.2301
N52.25671.33422.72221.31602.38293.23012.0648
N62.25671.33421.31602.72222.38293.23012.0648
H71.08583.60292.06482.06483.23013.23014.6887
H83.60291.08583.23013.23012.06482.06484.6887

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 116.749 C1 N4 N5 116.749
C2 N5 N4 116.749 C2 N6 N3 116.749
N3 C1 N4 126.502 N3 C1 H7 116.749
N4 C1 H7 116.749 N5 C2 N6 126.502
N5 C2 H8 116.749 N6 C2 H8 116.749
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.169      
2 C 0.169      
3 N -0.199      
4 N -0.199      
5 N -0.199      
6 N -0.199      
7 H 0.230      
8 H 0.230      


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 -32.379 0.000 0.000
y 0.000 -43.289 0.000
z 0.000 0.000 -27.703
Traceless
 xyz
x 3.117 0.000 0.000
y 0.000 -13.248 0.000
z 0.000 0.000 10.132
Polar
3z2-r220.263
x2-y210.910
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.999 0.000 0.000
y 0.000 6.546 0.000
z 0.000 0.000 7.814


<r2> (average value of r2) Å2
<r2> 103.391
(<r2>)1/2 10.168