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

using model chemistry: PBE1PBE/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-280.623870
Energy at 298.15K 
HF Energy-280.623870
Nuclear repulsion energy127.529261
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/6-31G(2df,p)
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' 3783 3621 93.59 40.78 0.26 0.42
2 A' 1857 1777 363.77 1.50 0.67 0.80
3 A' 1423 1362 272.07 9.07 0.16 0.27
4 A' 1359 1301 82.10 3.40 0.72 0.84
5 A' 972 931 156.33 9.78 0.09 0.17
6 A' 695 666 0.73 4.33 0.50 0.67
7 A' 608 582 10.65 1.93 0.65 0.79
8 A" 820 784 12.93 0.03 0.75 0.86
9 A" 528 506 112.07 1.99 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 6023.1 cm-1
Scaled (by 0.957) Zero Point Vibrational Energy (zpe) 5764.1 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 PBE1PBE/6-31G(2df,p)
ABC
0.44069 0.41486 0.21369

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.147 0.000
O2 -0.278 -1.208 0.000
O3 1.168 0.438 0.000
O4 -0.966 0.841 0.000
H5 0.607 -1.603 0.000

Atom - Atom Distances (Å)
  N1 O2 O3 O4 H5
N11.38251.20351.18951.8520
O21.38252.19042.16110.9691
O31.20352.19042.17112.1167
O41.18952.16112.17112.9064
H51.85200.96912.11672.9064

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 102.485 O2 N1 O3 115.607
O2 N1 O4 114.123 O3 N1 O4 130.270
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.872      
2 O -0.424      
3 O -0.420      
4 O -0.368      
5 H 0.340      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.031 -2.097 0.000 2.337
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.509 -2.256 0.000
y -2.256 -19.802 0.000
z 0.000 0.000 -20.451
Traceless
 xyz
x -3.383 -2.256 0.000
y -2.256 2.178 0.000
z 0.000 0.000 1.205
Polar
3z2-r22.410
x2-y2-3.707
xy-2.256
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.807 -0.304 0.000
y -0.304 3.547 0.000
z 0.000 0.000 1.760


<r2> (average value of r2) Å2
<r2> 54.211
(<r2>)1/2 7.363