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 H3PO4 (Phosphoric Acid)

using model chemistry: HSEh1PBE/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3 1A
Energy calculated at HSEh1PBE/6-311G**
 hartrees
Energy at 0K-643.849852
Energy at 298.15K-643.855899
HF Energy-643.849852
Nuclear repulsion energy280.088061
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/6-311G**
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 3891 3737 26.58      
2 A 1334 1281 293.38      
3 A 1029 988 95.01      
4 A 844 810 18.02      
5 A 463 444 34.42      
6 A 317 305 113.62      
7 E 3888 3734 180.87      
7 E 3888 3734 180.86      
8 E 1045 1004 73.60      
8 E 1045 1004 73.59      
9 E 927 890 345.13      
9 E 927 890 345.12      
10 E 456 438 86.97      
10 E 456 438 86.97      
11 E 380 365 40.45      
11 E 380 365 40.44      
12 E 179 172 77.29      
12 E 179 172 77.30      

Unscaled Zero Point Vibrational Energy (zpe) 10814.5 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 10386.3 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/6-311G**
ABC
0.15007 0.14870 0.14870

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G**

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.116
O2 0.000 0.000 1.585
O3 0.000 1.433 -0.588
O4 1.241 -0.717 -0.588
O5 -1.241 -0.717 -0.588
H6 0.534 2.068 -0.101
H7 1.524 -1.496 -0.101
H8 -2.057 -0.572 -0.101

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.46911.59651.59651.59652.14622.14622.1462
O21.46912.60272.60272.60272.72042.72052.7205
O31.59652.60272.48222.48220.96143.33732.9136
O41.59652.60272.48222.48222.91360.96143.3373
O51.59652.60272.48222.48223.33732.91360.9614
H62.14622.72040.96142.91363.33733.69843.6984
H72.14622.72053.33730.96142.91363.69843.6984
H82.14622.72052.91363.33730.96143.69843.6984

picture of Phosphoric Acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
P1 O3 H6 111.660 P1 O4 H7 111.660
P1 O5 H8 111.660 O2 P1 O3 116.150
O2 P1 O4 116.150 O2 P1 O5 116.150
O3 P1 O4 102.043 O3 P1 O5 102.043
O4 P1 O5 102.043
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 1.148      
2 O -0.584      
3 O -0.501      
4 O -0.501      
5 O -0.501      
6 H 0.313      
7 H 0.313      
8 H 0.313      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.167 0.167
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.562 0.000 0.000
y 0.000 -28.562 0.000
z 0.000 0.000 -44.828
Traceless
 xyz
x 8.133 0.000 0.000
y 0.000 8.133 0.000
z 0.000 0.000 -16.266
Polar
3z2-r2-32.533
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.407 0.000 0.000
y 0.000 4.407 0.000
z 0.000 0.000 4.270


<r2> (average value of r2) Å2
<r2> 112.812
(<r2>)1/2 10.621