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All results from a given calculation for HNO3 (Nitric acid)

using model chemistry: PBEPBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBE/6-31G**
 hartrees
Energy at 0K-280.629212
Energy at 298.15K 
HF Energy-280.629212
Nuclear repulsion energy124.412641
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 PBEPBE/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 A' 3611 3561 59.62 53.76 0.29 0.44
2 A' 1761 1737 285.19 1.67 0.69 0.82
3 A' 1326 1307 271.49 8.47 0.16 0.28
4 A' 1272 1255 46.32 5.24 0.75 0.86
5 A' 858 846 167.12 8.45 0.11 0.20
6 A' 605 597 17.64 8.02 0.41 0.58
7 A' 549 541 8.44 2.83 0.62 0.77
8 A" 738 728 9.05 0.02 0.75 0.86
9 A" 495 488 117.39 4.08 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 5606.4 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 5529.6 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 PBEPBE/6-31G**
ABC
0.42127 0.39137 0.20289

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.161 0.000
O2 -0.264 -1.254 0.000
O3 1.185 0.475 0.000
O4 -1.002 0.841 0.000
H5 0.649 -1.621 0.000

Atom - Atom Distances (Å)
  N1 O2 O3 O4 H5
N11.43951.22561.21101.8960
O21.43952.25602.22150.9841
O31.22562.25602.21682.1630
O41.21102.22152.21682.9642
H51.89600.98412.16302.9642

picture of Nitric acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 O2 H5 101.286 O2 N1 O3 115.430
O2 N1 O4 113.613 O3 N1 O4 130.957
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.651      
2 O -0.353      
3 O -0.337      
4 O -0.300      
5 H 0.338      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.149 -1.828 0.000 2.159
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.445 -2.454 0.000
y -2.454 -20.139 0.000
z 0.000 0.000 -20.655
Traceless
 xyz
x -3.048 -2.454 0.000
y -2.454 1.911 0.000
z 0.000 0.000 1.137
Polar
3z2-r22.274
x2-y2-3.306
xy-2.454
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.848 -0.325 0.000
y -0.325 3.659 0.000
z 0.000 0.000 1.344


<r2> (average value of r2) Å2
<r2> 56.467
(<r2>)1/2 7.514