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

using model chemistry: wB97X-D/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes all bonds equal 2A1'
1 2 no 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/3-21G*
 hartrees
Energy at 0K-278.532794
Energy at 298.15K-278.534508
HF Energy-278.532794
Nuclear repulsion energy112.962024
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/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 A1 1148 1088 71.99      
2 A1 770 730 31.70      
3 A1 537 509 0.48      
4 B1 668 633 13.42      
5 B2 1420 1346 168.01      
6 B2 217 206 7.57      

Unscaled Zero Point Vibrational Energy (zpe) 2379.5 cm-1
Scaled (by 0.9478) Zero Point Vibrational Energy (zpe) 2255.3 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 wB97X-D/3-21G*
ABC
0.41083 0.40810 0.20473

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 -0.105
O2 0.000 0.000 1.315
O3 0.000 1.122 -0.611
O4 0.000 -1.122 -0.611

Atom - Atom Distances (Å)
  N1 O2 O3 O4
N11.41931.23141.2314
O21.41932.22912.2291
O31.23142.22912.2445
O41.23142.22912.2445

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 114.303 O2 N1 O4 114.303
O3 N1 O4 131.394
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (one short, two long)

Jump to S1C1 S1C3
Energy calculated at wB97X-D/3-21G*
 hartrees
Energy at 0K-278.532082
Energy at 298.15K 
HF Energy-278.532082
Nuclear repulsion energy114.478914
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/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 A1 1466 1389 180.12      
2 A1 953 903 1.46      
3 A1 498 472 9.41      
4 B1 655 621 15.09      
5 B2 585 554 2.37      
6 B2 133i 126i 132.86      

Unscaled Zero Point Vibrational Energy (zpe) 2011.9 cm-1
Scaled (by 0.9478) Zero Point Vibrational Energy (zpe) 1906.8 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/3-21G*
ABC
0.48593 0.37386 0.21130

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.086
O2 0.000 0.000 1.327
O3 0.000 1.054 -0.701
O4 0.000 -1.054 -0.701

Atom - Atom Distances (Å)
  N1 O2 O3 O4
N11.24101.31571.3157
O21.24102.28572.2857
O31.31572.28572.1088
O41.31572.28572.1088

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 126.736 O2 N1 O4 126.736
O3 N1 O4 106.528
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.534      
2 O -0.256      
3 O -0.139      
4 O -0.139      


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 0.095 0.095
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.753 0.000 0.000
y 0.000 -21.619 0.000
z 0.000 0.000 -23.097
Traceless
 xyz
x 2.605 0.000 0.000
y 0.000 -0.193 0.000
z 0.000 0.000 -2.411
Polar
3z2-r2-4.823
x2-y21.865
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 0.625 0.000 0.000
y 0.000 4.285 0.000
z 0.000 0.000 3.329


<r2> (average value of r2) Å2
<r2> 53.326
(<r2>)1/2 7.302

Conformer 3 (one long, two short)

Jump to S1C1 S1C2
Energy calculated at wB97X-D/3-21G*
 hartrees
Energy at 0K-278.532794
Energy at 298.15K-278.534508
HF Energy-278.532794
Nuclear repulsion energy112.959818
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/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 A1 1148 1088 71.99      
2 A1 770 730 31.74      
3 A1 537 509 0.48      
4 B1 668 633 13.42      
5 B2 1420 1346 168.09      
6 B2 218 206 7.56      

Unscaled Zero Point Vibrational Energy (zpe) 2379.8 cm-1
Scaled (by 0.9478) Zero Point Vibrational Energy (zpe) 2255.6 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/3-21G*
ABC
0.41072 0.40817 0.20472

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 -0.104
O2 0.000 0.000 1.314
O3 0.000 1.127 -0.611
O4 0.000 -1.127 -0.611

Atom - Atom Distances (Å)
  N1 O2 O3 O4
N11.41841.23591.2359
O21.41842.23092.2309
O31.23592.23092.2545
O41.23592.23092.2545

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 114.206 O2 N1 O4 114.206
O3 N1 O4 131.588
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.539      
2 O -0.043      
3 O -0.248      
4 O -0.248      


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 0.567 0.567
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.757 0.000 0.000
y 0.000 -22.930 0.000
z 0.000 0.000 -21.757
Traceless
 xyz
x 2.586 0.000 0.000
y 0.000 -2.172 0.000
z 0.000 0.000 -0.414
Polar
3z2-r2-0.828
x2-y23.172
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 0.621 0.000 0.000
y 0.000 3.322 0.000
z 0.000 0.000 3.077


<r2> (average value of r2) Å2
<r2> 54.602
(<r2>)1/2 7.389