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All results from a given calculation for H3PO4 (Phosphoric Acid)

using model chemistry: HSEh1PBE/3-21G

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/3-21G
 hartrees
Energy at 0K-640.241556
Energy at 298.15K 
HF Energy-640.241556
Nuclear repulsion energy269.344486
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/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 3607 3475 2.24      
2 A 1252 1206 138.92      
3 A 1031 993 111.43      
4 A 783 754 36.58      
5 A 427 411 53.97      
6 A 176 169 277.20      
7 E 3606 3473 102.59      
7 E 3606 3473 102.60      
8 E 1102 1061 65.50      
8 E 1102 1061 65.49      
9 E 893 860 269.35      
9 E 893 860 269.35      
10 E 406 391 90.81      
10 E 406 391 90.82      
11 E 320 308 2.02      
11 E 320 308 2.02      
12 E 102i 98i 89.60      
12 E 102i 98i 89.60      

Unscaled Zero Point Vibrational Energy (zpe) 9861.9 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 9500.0 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/3-21G
ABC
0.14204 0.13598 0.13598

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.147
O2 0.000 0.000 1.692
O3 0.000 1.473 -0.607
O4 1.276 -0.737 -0.607
O5 -1.276 -0.737 -0.607
H6 0.772 2.053 -0.393
H7 1.392 -1.695 -0.393
H8 -2.164 -0.358 -0.393

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.54501.65521.65521.65522.25902.25902.2590
O21.54502.73112.73112.73113.02653.02653.0265
O31.65522.73112.55162.55160.98893.46712.8430
O41.65522.73112.55162.55162.84300.98893.4671
O51.65522.73112.55162.55163.46712.84300.9889
H62.25903.02650.98892.84303.46713.79913.7991
H72.25903.02653.46710.98892.84303.79913.7991
H82.25903.02652.84303.46710.98893.79913.7991

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 115.040 P1 O4 H7 115.040
P1 O5 H8 115.040 O2 P1 O3 117.123
O2 P1 O4 117.123 O2 P1 O5 117.123
O3 P1 O4 100.849 O3 P1 O5 100.849
O4 P1 O5 100.849
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 1.531      
2 O -0.635      
3 O -0.710      
4 O -0.710      
5 O -0.710      
6 H 0.411      
7 H 0.411      
8 H 0.411      


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 -0.958 0.958
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.421 0.000 0.000
y 0.000 -28.421 0.000
z 0.000 0.000 -45.137
Traceless
 xyz
x 8.358 0.000 0.000
y 0.000 8.358 0.000
z 0.000 0.000 -16.716
Polar
3z2-r2-33.433
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 4.086 0.000 0.000
y 0.000 4.086 0.000
z 0.000 0.000 3.772


<r2> (average value of r2) Å2
<r2> 120.304
(<r2>)1/2 10.968