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

using model chemistry: TPSSh/6-31+G**

19 10 17 12 22

States and conformations

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

Conformer 1 (all bonds equal)

Jump to S1C2 S1C3
Energy calculated at TPSSh/6-31+G**
 hartrees
Energy at 0K-280.242423
Energy at 298.15K-280.244252
HF Energy-280.242423
Nuclear repulsion energy118.693328
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 TPSSh/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 1180 1136 3.42      
2 A1 1118 1076 0.00      
3 A1 350 337 7.43      
4 B1 776 747 8.77      
5 B2 1181 1136 3.48      
6 B2 349 336 7.44      

Unscaled Zero Point Vibrational Energy (zpe) 2477.0 cm-1
Scaled (by 0.9625) Zero Point Vibrational Energy (zpe) 2384.1 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 TPSSh/6-31+G**
ABC
0.45466 0.45454 0.22730

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

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 1.267
O3 0.000 1.099 -0.596
O4 0.000 -1.099 -0.596

Atom - Atom Distances (Å)
  N1 O2 O3 O4
N11.35211.21131.2113
O21.35212.16232.1623
O31.21132.16232.1972
O41.21132.16232.1972

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 114.915 O2 N1 O4 114.915
O3 N1 O4 130.170
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (one short, two long)

Jump to S1C1 S1C3
Energy calculated at TPSSh/6-31+G**
 hartrees
Energy at 0K-280.242423
Energy at 298.15K-280.244252
HF Energy-280.242423
Nuclear repulsion energy118.693328
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 TPSSh/6-31+G**
Rotational Constants (cm-1) from geometry optimized at TPSSh/6-31+G**
ABC
0.45466 0.45454 0.22730

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

Point Group is C2v

Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (one long, two short)

Jump to S1C1 S1C2
Energy calculated at TPSSh/6-31+G**
 hartrees
Energy at 0K-280.242423
Energy at 298.15K-280.244252
HF Energy-280.242423
Nuclear repulsion energy118.692341
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 TPSSh/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 1182 1138 3.61      
2 A1 1118 1076 0.00      
3 A1 349 336 7.37      
4 B1 777 747 8.77      
5 B2 1179 1134 3.29      
6 B2 350 337 7.50      

Unscaled Zero Point Vibrational Energy (zpe) 2476.9 cm-1
Scaled (by 0.9625) Zero Point Vibrational Energy (zpe) 2384.0 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 TPSSh/6-31+G**
ABC
0.45471 0.45447 0.22730

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 -0.075
O2 0.000 0.000 1.256
O3 0.000 1.092 -0.595
O4 0.000 -1.092 -0.595

Atom - Atom Distances (Å)
  N1 O2 O3 O4
N11.33171.20911.2091
O21.33172.14932.1493
O31.20912.14932.1833
O41.20912.14932.1833

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 115.461 O2 N1 O4 115.461
O3 N1 O4 129.078
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.008      
2 O -0.003      
3 O -0.002      
4 O -0.002      


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 -0.001 0.001
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.816 0.000 0.000
y 0.000 4.859 0.000
z 0.000 0.000 4.855


<r2> (average value of r2) Å2
<r2> 50.790
(<r2>)1/2 7.127