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

using model chemistry: PBEPBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3 1A
Energy calculated at PBEPBE/6-31+G**
 hartrees
Energy at 0K-643.694086
Energy at 298.15K-643.699803
HF Energy-643.694086
Nuclear repulsion energy275.177446
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 PBEPBE/6-31+G**
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 3723 3681 12.66      
2 A 1250 1236 302.91      
3 A 1013 1002 70.42      
4 A 774 765 21.60      
5 A 423 418 29.22      
6 A 324 320 92.08      
7 E 3722 3679 147.75      
7 E 3722 3679 147.74      
8 E 1012 1001 66.32      
8 E 1012 1001 66.30      
9 E 869 859 312.19      
9 E 869 859 312.16      
10 E 419 414 59.38      
10 E 419 414 59.38      
11 E 352 348 40.13      
11 E 352 348 40.12      
12 E 152 150 69.40      
12 E 152 150 69.40      

Unscaled Zero Point Vibrational Energy (zpe) 10278.9 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 10161.7 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 PBEPBE/6-31+G**
ABC
0.14594 0.14304 0.14304

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31+G**

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.124
O2 0.000 0.000 1.620
O3 0.000 1.454 -0.606
O4 1.259 -0.727 -0.606
O5 -1.259 -0.727 -0.606
H6 0.539 2.091 -0.098
H7 1.541 -1.513 -0.098
H8 -2.080 -0.578 -0.098

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.49621.62661.62661.62662.17062.17062.1706
O21.49622.65862.65862.65862.75942.75942.7594
O31.62662.65862.51802.51800.97713.38102.9521
O41.62662.65862.51802.51802.95210.97713.3810
O51.62662.65862.51802.51803.38102.95210.9771
H62.17062.75940.97712.95213.38103.73993.7399
H72.17062.75943.38100.97712.95213.73993.7399
H82.17062.75942.95213.38100.97713.73993.7399

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 110.457 P1 O4 H7 110.457
P1 O5 H8 110.457 O2 P1 O3 116.656
O2 P1 O4 116.656 O2 P1 O5 116.656
O3 P1 O4 101.425 O3 P1 O5 101.425
O4 P1 O5 101.425
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 1.478      
2 O -0.622      
3 O -0.667      
4 O -0.667      
5 O -0.667      
6 H 0.382      
7 H 0.382      
8 H 0.382      


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 -0.129 0.129
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.534 0.000 0.000
y 0.000 -29.534 0.000
z 0.000 0.000 -45.380
Traceless
 xyz
x 7.923 0.000 0.000
y 0.000 7.923 0.000
z 0.000 0.000 -15.846
Polar
3z2-r2-31.692
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 5.692 0.000 -0.000
y 0.000 5.691 0.000
z -0.000 0.000 5.853


<r2> (average value of r2) Å2
<r2> 116.521
(<r2>)1/2 10.794