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

using model chemistry: mPW1PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-296.310867
Energy at 298.15K-296.316104
Nuclear repulsion energy213.854460
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 mPW1PW91/6-311G**
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 3231 3091 0.00      
2 Ag 1523 1457 0.00      
3 Ag 1072 1026 0.00      
4 Ag 764 731 0.00      
5 Au 343 328 0.00      
6 B1u 3230 3090 6.25      
7 B1u 1255 1201 60.14      
8 B1u 1107 1059 2.05      
9 B2g 1003 959 0.00      
10 B2g 838 802 0.00      
11 B2u 1493 1428 2.25      
12 B2u 1172 1121 13.89      
13 B2u 1016 972 38.60      
14 B3g 1599 1529 0.00      
15 B3g 1333 1276 0.00      
16 B3g 650 622 0.00      
17 B3u 938 898 1.65      
18 B3u 259 248 58.71      

Unscaled Zero Point Vibrational Energy (zpe) 11412.6 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 10918.4 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 mPW1PW91/6-311G**
ABC
0.23063 0.21348 0.11086

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.257
C2 0.000 0.000 -1.257
N3 0.000 1.187 0.656
N4 0.000 -1.187 0.656
N5 0.000 -1.187 -0.656
N6 0.000 1.187 -0.656
H7 0.000 0.000 2.340
H8 0.000 0.000 -2.340

Atom - Atom Distances (Å)
  C1 C2 N3 N4 N5 N6 H7 H8
C12.51421.33071.33072.25192.25191.08303.5972
C22.51422.25192.25191.33071.33073.59721.0830
N31.33072.25192.37472.71331.31262.06033.2231
N41.33072.25192.37471.31262.71332.06033.2231
N52.25191.33072.71331.31262.37473.22312.0603
N62.25191.33071.31262.71332.37473.22312.0603
H71.08303.59722.06032.06033.22313.22314.6802
H83.59721.08303.22313.22312.06032.06034.6802

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 116.840 C1 N4 N5 116.840
C2 N5 N4 116.840 C2 N6 N3 116.840
N3 C1 N4 126.319 N3 C1 H7 116.840
N4 C1 H7 116.840 N5 C2 N6 126.319
N5 C2 H8 116.840 N6 C2 H8 116.840
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.148      
2 C 0.148      
3 N -0.155      
4 N -0.155      
5 N -0.155      
6 N -0.155      
7 H 0.162      
8 H 0.162      


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 -32.380 0.000 0.000
y 0.000 -43.834 0.000
z 0.000 0.000 -27.852
Traceless
 xyz
x 3.463 0.000 0.000
y 0.000 -13.718 0.000
z 0.000 0.000 10.255
Polar
3z2-r220.510
x2-y211.454
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.409 0.000 0.000
y 0.000 6.753 0.000
z 0.000 0.000 8.017


<r2> (average value of r2) Å2
<r2> 103.117
(<r2>)1/2 10.155