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 HNO3 (Nitric acid)

using model chemistry: HSEh1PBE/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HSEh1PBE/TZVP
 hartrees
Energy at 0K-280.729660
Energy at 298.15K 
HF Energy-280.729660
Nuclear repulsion energy127.204165
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 HSEh1PBE/TZVP
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' 3767 3617 103.00 44.64 0.25 0.40
2 A' 1809 1737 449.08 1.97 0.66 0.79
3 A' 1389 1333 318.12 11.82 0.20 0.33
4 A' 1340 1286 68.00 4.50 0.75 0.86
5 A' 940 902 200.41 10.17 0.09 0.16
6 A' 680 652 10.87 7.71 0.47 0.64
7 A' 603 578 9.87 3.14 0.63 0.77
8 A" 795 763 9.96 0.11 0.75 0.86
9 A" 489 469 138.65 1.54 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 5904.5 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 5668.9 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 HSEh1PBE/TZVP
ABC
0.44136 0.40924 0.21234

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.151 0.000
O2 -0.273 -1.219 0.000
O3 1.164 0.451 0.000
O4 -0.968 0.839 0.000
H5 0.609 -1.621 0.000

Atom - Atom Distances (Å)
  N1 O2 O3 O4 H5
N11.39651.20221.18701.8741
O21.39652.20262.17120.9698
O31.20222.20262.16692.1449
O41.18702.17122.16692.9219
H51.87410.96982.14492.9219

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 103.264 O2 N1 O3 115.699
O2 N1 O4 114.129 O3 N1 O4 130.173
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.210      
2 O -0.201      
3 O -0.177      
4 O -0.128      
5 H 0.297      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.158 -2.147 0.000 2.439
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -24.506 -2.603 0.000
y -2.603 -20.602 0.000
z 0.000 0.000 -20.960
Traceless
 xyz
x -3.725 -2.603 0.000
y -2.603 2.131 0.000
z 0.000 0.000 1.594
Polar
3z2-r23.188
x2-y2-3.904
xy-2.603
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.196 -0.311 0.000
y -0.311 3.682 0.000
z 0.000 0.000 1.661


<r2> (average value of r2) Å2
<r2> 54.972
(<r2>)1/2 7.414