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 NO3 (Nitrogen trioxide)

using model chemistry: wB97X-D/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no all bonds equal 2A1'
1 2 yes one short, two long 2B2
1 3 no one long, two short 2B2

Conformer 1 (all bonds equal)

Jump to S1C2 S1C3
Energy calculated at wB97X-D/6-31+G**
 hartrees
Energy at 0K-280.133567
Energy at 298.15K 
HF Energy-280.133567
Nuclear repulsion energy119.865634
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 wB97X-D/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 A1 1229 1170 0.66      
2 A1 986 939 21.29      
3 A1 355 339 47.68      
4 B1 805 766 12.60      
5 B2 1333 1270 25.57      
6 B2 294i 280i 11.86      

Unscaled Zero Point Vibrational Energy (zpe) 2206.9 cm-1
Scaled (by 0.9523) Zero Point Vibrational Energy (zpe) 2101.6 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 wB97X-D/6-31+G**
ABC
0.47621 0.45166 0.23181

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 -0.091
O2 0.000 0.000 1.255
O3 0.000 1.092 -0.588
O4 0.000 -1.092 -0.588

Atom - Atom Distances (Å)
  N1 O2 O3 O4
N11.34571.20011.2001
O21.34572.14232.1423
O31.20012.14232.1845
O41.20012.14232.1845

picture of Nitrogen trioxide state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
O2 N1 O3 114.475 O2 N1 O4 114.475
O3 N1 O4 131.050
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.093      
2 O 0.005      
3 O -0.049      
4 O -0.049      


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 0.207 0.207
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.201 0.000 0.000
y 0.000 -23.054 0.000
z 0.000 0.000 -22.607
Traceless
 xyz
x 2.629 0.000 0.000
y 0.000 -1.650 0.000
z 0.000 0.000 -0.979
Polar
3z2-r2-1.958
x2-y22.853
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.782 0.000 0.000
y 0.000 4.728 0.000
z 0.000 0.000 5.290


<r2> (average value of r2) Å2
<r2> 50.085
(<r2>)1/2 7.077

Conformer 2 (one short, two long)

Jump to S1C1 S1C3
Energy calculated at wB97X-D/6-31+G**
 hartrees
Energy at 0K-280.133766
Energy at 298.15K-280.135622
HF Energy-280.133766
Nuclear repulsion energy119.799114
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 wB97X-D/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 A1 1524 1452 134.39      
2 A1 1153 1098 3.58      
3 A1 339 323 0.03      
4 B1 799 761 13.13      
5 B2 946 901 49.78      
6 B2 390 372 71.87      

Unscaled Zero Point Vibrational Energy (zpe) 2575.7 cm-1
Scaled (by 0.9523) Zero Point Vibrational Energy (zpe) 2452.9 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 wB97X-D/6-31+G**
ABC
0.49158 0.43773 0.23155

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.068
O2 0.000 0.000 1.268
O3 0.000 1.024 -0.664
O4 0.000 -1.024 -0.664

Atom - Atom Distances (Å)
  N1 O2 O3 O4
N11.20041.25831.2583
O21.20042.18642.1864
O31.25832.18642.0480
O41.25832.18642.0480

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 125.532 O2 N1 O4 125.532
O3 N1 O4 108.936
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.099      
2 O -0.071      
3 O -0.014      
4 O -0.014      


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 -0.151 0.151
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.200 0.000 0.000
y 0.000 -22.452 0.000
z 0.000 0.000 -23.189
Traceless
 xyz
x 2.621 0.000 0.000
y 0.000 -0.758 0.000
z 0.000 0.000 -1.863
Polar
3z2-r2-3.726
x2-y22.253
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.786 0.000 0.000
y 0.000 5.521 0.000
z 0.000 0.000 4.379


<r2> (average value of r2) Å2
<r2> 50.122
(<r2>)1/2 7.080

Conformer 3 (one long, two short)

Jump to S1C1 S1C2
Energy calculated at wB97X-D/6-31+G**
 hartrees
Energy at 0K-280.133567
Energy at 298.15K 
HF Energy-280.133567
Nuclear repulsion energy119.881058
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 wB97X-D/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 A1 1227 1168 0.69      
2 A1 991 944 20.99      
3 A1 336 320 50.31      
4 B1 805 766 12.60      
5 B2 1326 1262 22.61      
6 B2 297i 283i 12.99      

Unscaled Zero Point Vibrational Energy (zpe) 2193.4 cm-1
Scaled (by 0.9523) Zero Point Vibrational Energy (zpe) 2088.8 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 wB97X-D/6-31+G**
ABC
0.47576 0.45231 0.23187

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 -0.091
O2 0.000 0.000 1.252
O3 0.000 1.094 -0.587
O4 0.000 -1.094 -0.587

Atom - Atom Distances (Å)
  N1 O2 O3 O4
N11.34301.20161.2016
O21.34302.14012.1401
O31.20162.14012.1890
O41.20162.14012.1890

picture of Nitrogen trioxide state 1 conformation 3
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
O2 N1 O3 114.382 O2 N1 O4 114.382
O3 N1 O4 131.237
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.093      
2 O 0.004      
3 O -0.048      
4 O -0.048      


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 0.199 0.199
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.201 0.000 0.000
y 0.000 -23.046 0.000
z 0.000 0.000 -22.615
Traceless
 xyz
x 2.630 0.000 0.000
y 0.000 -1.638 0.000
z 0.000 0.000 -0.992
Polar
3z2-r2-1.984
x2-y22.845
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.782 0.000 0.000
y 0.000 4.743 0.000
z 0.000 0.000 5.296


<r2> (average value of r2) Å2
<r2> 50.075
(<r2>)1/2 7.076