return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for N2O4 (Dinitrogen tetroxide)

using model chemistry: HSEh1PBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1Ag
Energy calculated at HSEh1PBE/3-21G
 hartrees
Energy at 0K-407.449173
Energy at 298.15K 
HF Energy-407.449173
Nuclear repulsion energy232.939194
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/3-21G
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 1253 1207 0.00 11.37 0.43 0.60
2 Ag 808 778 0.00 13.09 0.12 0.21
3 Ag 335 322 0.00 25.97 0.34 0.50
4 Au 111 107 0.00 0.00 0.00 0.00
5 B1u 1123 1082 356.65 0.00 0.00 0.00
6 B1u 715 689 155.88 0.00 0.00 0.00
7 B2g 649 625 0.00 0.34 0.75 0.86
8 B2u 1573 1515 288.49 0.00 0.00 0.00
9 B2u 206 198 0.57 0.00 0.00 0.00
10 B3g 1546 1489 0.00 4.59 0.75 0.86
11 B3g 482 465 0.00 9.40 0.75 0.86
12 B3u 416 401 12.07 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 4608.8 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 4439.7 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/3-21G
ABC
0.20269 0.12362 0.07679

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.879
N2 0.000 0.000 -0.879
O3 0.000 1.140 1.339
O4 0.000 -1.140 1.339
O5 0.000 1.140 -1.339
O6 0.000 -1.140 -1.339

Atom - Atom Distances (Å)
  N1 N2 O3 O4 O5 O6
N11.75801.22951.22952.49402.4940
N21.75802.49402.49401.22951.2295
O31.22952.49402.28032.67833.5175
O41.22952.49402.28033.51752.6783
O52.49401.22952.67833.51752.2803
O62.49401.22953.51752.67832.2803

picture of Dinitrogen tetroxide state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 N2 O5 111.978 N1 N2 O6 111.978
N2 N1 O3 111.978 N2 N1 O4 111.978
O3 N1 O4 136.043 O5 N2 O6 136.043
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.488      
2 N 0.488      
3 O -0.244      
4 O -0.244      
5 O -0.244      
6 O -0.244      


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 -28.957 0.000 0.000
y 0.000 -36.356 0.000
z 0.000 0.000 -33.500
Traceless
 xyz
x 5.971 0.000 0.000
y 0.000 -5.128 0.000
z 0.000 0.000 -0.843
Polar
3z2-r2-1.686
x2-y27.399
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.106 0.000 0.000
y 0.000 5.860 0.000
z 0.000 0.000 5.333


<r2> (average value of r2) Å2
<r2> 130.372
(<r2>)1/2 11.418