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

using model chemistry: PBEPBE/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 PBEPBE/6-31+G**
 hartrees
Energy at 0K-296.013521
Energy at 298.15K-296.018352
Nuclear repulsion energy210.767209
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/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 3146 3110 0.00      
2 Ag 1413 1397 0.00      
3 Ag 1011 999 0.00      
4 Ag 731 722 0.00      
5 Au 276 273 0.00      
6 B1u 3145 3109 6.41      
7 B1u 1187 1174 50.26      
8 B1u 1060 1048 0.03      
9 B2g 954 943 0.00      
10 B2g 791 782 0.00      
11 B2u 1422 1406 2.07      
12 B2u 1119 1106 6.24      
13 B2u 983 972 25.67      
14 B3g 1497 1480 0.00      
15 B3g 1280 1266 0.00      
16 B3g 625 618 0.00      
17 B3u 889 879 1.76      
18 B3u 124 122 60.43      

Unscaled Zero Point Vibrational Energy (zpe) 10826.3 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 10702.9 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/6-31+G**
ABC
0.22475 0.20668 0.10767

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.271
C2 0.000 0.000 -1.271
N3 0.000 1.207 0.668
N4 0.000 -1.207 0.668
N5 0.000 -1.207 -0.668
N6 0.000 1.207 -0.668
H7 0.000 0.000 2.365
H8 0.000 0.000 -2.365

Atom - Atom Distances (Å)
  C1 C2 N3 N4 N5 N6 H7 H8
C12.54171.34911.34912.28342.28341.09443.6362
C22.54172.28342.28341.34911.34913.63621.0944
N31.34912.28342.41342.75821.33532.08283.2642
N41.34912.28342.41341.33532.75822.08283.2642
N52.28341.34912.75821.33532.41343.26422.0828
N62.28341.34911.33532.75822.41343.26422.0828
H71.09443.63622.08282.08283.26423.26424.7306
H83.63621.09443.26423.26422.08282.08284.7306

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 116.560 C1 N4 N5 116.560
C2 N5 N4 116.560 C2 N6 N3 116.560
N3 C1 N4 126.881 N3 C1 H7 116.560
N4 C1 H7 116.560 N5 C2 N6 126.881
N5 C2 H8 116.560 N6 C2 H8 116.560
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.065      
2 C -0.065      
3 N -0.058      
4 N -0.058      
5 N -0.058      
6 N -0.058      
7 H 0.182      
8 H 0.182      


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 -33.133 0.000 0.000
y 0.000 -44.860 0.000
z 0.000 0.000 -28.590
Traceless
 xyz
x 3.592 0.000 0.000
y 0.000 -13.998 0.000
z 0.000 0.000 10.406
Polar
3z2-r220.813
x2-y211.727
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.466 0.000 0.000
y 0.000 8.287 0.000
z 0.000 0.000 9.117


<r2> (average value of r2) Å2
<r2> 106.014
(<r2>)1/2 10.296