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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-280.142754
Energy at 298.15K-280.144690
Nuclear repulsion energy119.875871
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 1563 1487 117.52      
2 A1 1153 1097 2.27      
3 A1 355 338 0.55      
4 B1 804 765 17.21      
5 B2 963 917 49.88      
6 B2 453 431 42.79      

Unscaled Zero Point Vibrational Energy (zpe) 2645.6 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 2517.3 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 mPW1PW91/6-31G**
ABC
0.49582 0.43545 0.23184

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 0.052
O2 0.000 0.000 1.254
O3 0.000 1.031 -0.650
O4 0.000 -1.031 -0.650

Atom - Atom Distances (Å)
  N1 O2 O3 O4
N11.20171.24751.2475
O21.20172.16532.1653
O31.24752.16532.0619
O41.24752.16532.0619

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 124.271 O2 N1 O4 124.271
O3 N1 O4 111.458
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 0.780      
2 O -0.325      
3 O -0.228      
4 O -0.228      


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 -0.138 0.138
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.686 0.000 0.000
y 0.000 -21.747 0.000
z 0.000 0.000 -22.579
Traceless
 xyz
x 2.477 0.000 0.000
y 0.000 -0.614 0.000
z 0.000 0.000 -1.862
Polar
3z2-r2-3.725
x2-y22.060
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.256 0.000 0.000
y 0.000 4.614 0.000
z 0.000 0.000 3.659


<r2> (average value of r2) Å2
<r2> 49.695
(<r2>)1/2 7.049