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

using model chemistry: PBE1PBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBE1PBE/cc-pVDZ
 hartrees
Energy at 0K-280.624333
Energy at 298.15K 
HF Energy-280.624333
Nuclear repulsion energy127.314379
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 PBE1PBE/cc-pVDZ
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' 3744 3600 102.03 44.13 0.30 0.46
2 A' 1865 1793 374.61 1.59 0.63 0.77
3 A' 1427 1372 287.94 7.73 0.21 0.34
4 A' 1344 1292 80.93 3.62 0.74 0.85
5 A' 960 923 178.97 8.83 0.11 0.20
6 A' 691 664 2.71 5.90 0.50 0.67
7 A' 607 584 10.66 2.76 0.67 0.81
8 A" 809 778 16.20 0.09 0.75 0.86
9 A" 517 497 123.47 2.97 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 5981.2 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 5750.9 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 PBE1PBE/cc-pVDZ
ABC
0.43971 0.41303 0.21298

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.148 0.000
O2 -0.275 -1.211 0.000
O3 1.167 0.443 0.000
O4 -0.969 0.840 0.000
H5 0.614 -1.610 0.000

Atom - Atom Distances (Å)
  N1 O2 O3 O4 H5
N11.38671.20411.19031.8620
O21.38672.19502.16470.9743
O31.20412.19502.17272.1265
O41.19032.16472.17272.9162
H51.86200.97432.12652.9162

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 102.717 O2 N1 O3 115.640
O2 N1 O4 114.067 O3 N1 O4 130.293
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.387      
2 O -0.126      
3 O -0.243      
4 O -0.206      
5 H 0.188      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.076 -2.111 0.000 2.370
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.841 -2.362 0.000
y -2.362 -20.052 0.000
z 0.000 0.000 -20.420
Traceless
 xyz
x -3.605 -2.362 0.000
y -2.362 2.078 0.000
z 0.000 0.000 1.527
Polar
3z2-r23.054
x2-y2-3.788
xy-2.362
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.636 -0.356 0.000
y -0.356 3.224 0.000
z 0.000 0.000 1.157


<r2> (average value of r2) Å2
<r2> 54.474
(<r2>)1/2 7.381