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All results from a given calculation for H3PO4 (Phosphoric 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 C3 1A
Energy calculated at HSEh1PBE/TZVP
 hartrees
Energy at 0K-643.875963
Energy at 298.15K-643.881882
HF Energy-643.875963
Nuclear repulsion energy278.246082
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
(Å4/u)
Dep P Dep U
1 A 3867 3713 21.77      
2 A 1308 1256 325.89      
3 A 1043 1001 75.79      
4 A 833 799 18.72      
5 A 446 428 29.82      
6 A 311 298 97.07      
7 E 3864 3710 180.00      
7 E 3864 3710 180.02      
8 E 1047 1006 68.52      
8 E 1047 1006 68.51      
9 E 926 889 338.06      
9 E 926 889 338.04      
10 E 443 425 81.56      
10 E 443 425 81.56      
11 E 366 352 45.46      
11 E 366 352 45.44      
12 E 163 156 74.13      
12 E 163 156 74.13      

Unscaled Zero Point Vibrational Energy (zpe) 10712.6 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 10285.2 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 HSEh1PBE/TZVP
ABC
0.14841 0.14654 0.14654

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

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.117
O2 0.000 0.000 1.598
O3 0.000 1.442 -0.594
O4 1.249 -0.721 -0.594
O5 -1.249 -0.721 -0.594
H6 0.527 2.074 -0.093
H7 1.533 -1.493 -0.093
H8 -2.059 -0.581 -0.093

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.48151.60751.60751.60752.15012.15012.1501
O21.48152.62402.62402.62402.72772.72772.7277
O31.60752.62402.49722.49720.96333.34872.9298
O41.60752.62402.49722.49722.92980.96333.3487
O51.60752.62402.49722.49723.34872.92980.9633
H62.15012.72770.96332.92983.34873.70633.7063
H72.15012.72773.34870.96332.92983.70633.7063
H82.15012.72772.92983.34870.96333.70633.7063

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 111.020 P1 O4 H7 111.020
P1 O5 H8 111.020 O2 P1 O3 116.247
O2 P1 O4 116.247 O2 P1 O5 116.247
O3 P1 O4 101.925 O3 P1 O5 101.925
O4 P1 O5 101.925
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 0.691      
2 O -0.463      
3 O -0.393      
4 O -0.393      
5 O -0.393      
6 H 0.317      
7 H 0.317      
8 H 0.317      


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 -0.150 0.150
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.856 0.000 0.000
y 0.000 -28.856 0.000
z 0.000 0.000 -45.135
Traceless
 xyz
x 8.139 0.000 0.000
y 0.000 8.139 0.000
z 0.000 0.000 -16.279
Polar
3z2-r2-32.557
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 4.764 0.000 0.000
y 0.000 4.764 0.000
z 0.000 0.000 4.823


<r2> (average value of r2) Å2
<r2> 114.178
(<r2>)1/2 10.685