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All results from a given calculation for NO3 (Nitrogen trioxide)

using model chemistry: mPW1PW91/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 2 yes one short, two long 2B2

Conformer 1 (all bonds equal)

Jump to S1C2
Vibrational Frequencies calculated at mPW1PW91/6-31G
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/6-31G
See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (one short, two long)

Jump to S1C1
Energy calculated at mPW1PW91/6-31G
 hartrees
Energy at 0K-280.016702
Energy at 298.15K-280.018382
Nuclear repulsion energy116.493599
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 mPW1PW91/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 1476 1397 148.12      
2 A1 1021 966 4.60      
3 A1 441 417 6.35      
4 B1 737 698 10.52      
5 B2 681 644 34.53      
6 B2 264 250 168.97      

Unscaled Zero Point Vibrational Energy (zpe) 2309.4 cm-1
Scaled (by 0.9466) Zero Point Vibrational Energy (zpe) 2186.1 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 mPW1PW91/6-31G
ABC
0.47167 0.40853 0.21892

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.066
O2 0.000 0.000 1.291
O3 0.000 1.057 -0.674
O4 0.000 -1.057 -0.674

Atom - Atom Distances (Å)
  N1 O2 O3 O4
N11.22461.29071.2907
O21.22462.23152.2315
O31.29072.23152.1140
O41.29072.23152.1140

picture of Nitrogen trioxide state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
O2 N1 O3 125.020 O2 N1 O4 125.020
O3 N1 O4 109.960
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.418      
2 O -0.189      
3 O -0.114      
4 O -0.114      


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 -0.087 0.087
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.201 0.000 0.000
y 0.000 -22.633 0.000
z 0.000 0.000 -23.743
Traceless
 xyz
x 2.987 0.000 0.000
y 0.000 -0.661 0.000
z 0.000 0.000 -2.326
Polar
3z2-r2-4.653
x2-y22.432
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 0.885 0.000 0.000
y 0.000 5.153 0.000
z 0.000 0.000 3.688


<r2> (average value of r2) Å2
<r2> 52.375
(<r2>)1/2 7.237