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: PBEPBEultrafine/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBEultrafine/3-21G
 hartrees
Energy at 0K-279.037466
Energy at 298.15K 
HF Energy-279.037466
Nuclear repulsion energy119.239591
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 PBEPBEultrafine/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 A' 3271 3241 19.79 64.40 0.34 0.50
2 A' 1499 1486 94.84 0.84 0.74 0.85
3 A' 1178 1167 161.79 8.82 0.57 0.72
4 A' 1114 1104 142.00 3.25 0.33 0.49
5 A' 807 799 73.01 10.95 0.12 0.22
6 A' 563 558 0.76 7.62 0.49 0.66
7 A' 464 460 11.91 2.54 0.72 0.84
8 A" 643 638 10.38 0.06 0.75 0.86
9 A" 486 482 127.12 8.04 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 5012.8 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 4967.2 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 PBEPBEultrafine/3-21G
ABC
0.38768 0.35756 0.18600

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.178 0.000
O2 -0.303 -1.312 0.000
O3 1.246 0.458 0.000
O4 -1.025 0.904 0.000
H5 0.657 -1.652 0.000

Atom - Atom Distances (Å)
  N1 O2 O3 O4 H5
N11.52061.27701.25571.9443
O21.52062.35222.33021.0184
O31.27702.35222.31412.1906
O41.25572.33022.31413.0592
H51.94431.01842.19063.0592

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 97.997 O2 N1 O3 114.163
O2 N1 O4 113.796 O3 N1 O4 132.041
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.443      
2 O -0.332      
3 O -0.251      
4 O -0.223      
5 H 0.362      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.245 -1.564 0.000 1.999
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.505 -2.576 0.000
y -2.576 -20.137 0.000
z 0.000 0.000 -20.601
Traceless
 xyz
x -3.136 -2.576 0.000
y -2.576 1.915 0.000
z 0.000 0.000 1.221
Polar
3z2-r22.441
x2-y2-3.368
xy-2.576
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.642 -0.417 0.000
y -0.417 3.541 0.000
z 0.000 0.000 0.683


<r2> (average value of r2) Å2
<r2> 60.296
(<r2>)1/2 7.765