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

using model chemistry: B3PW91/6-31+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 B3PW91/6-31+G**
 hartrees
Energy at 0K-644.006378
Energy at 298.15K-644.012270
HF Energy-644.006378
Nuclear repulsion energy278.421957
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 B3PW91/6-31+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 3865 3711 20.53      
2 A 1305 1253 337.10      
3 A 1035 994 96.71      
4 A 824 791 19.65      
5 A 444 426 27.15      
6 A 320 307 102.76      
7 E 3863 3709 184.96      
7 E 3863 3709 184.94      
8 E 1039 997 76.31      
8 E 1039 997 76.29      
9 E 916 879 336.65      
9 E 916 879 336.62      
10 E 445 427 77.86      
10 E 445 427 77.86      
11 E 368 354 40.10      
11 E 368 354 40.10      
12 E 159 152 76.55      
12 E 159 152 76.55      

Unscaled Zero Point Vibrational Energy (zpe) 10685.1 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 10258.8 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 B3PW91/6-31+G**
ABC
0.14861 0.14679 0.14679

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31+G**

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 1.597
O3 0.000 1.440 -0.593
O4 1.247 -0.720 -0.593
O5 -1.247 -0.720 -0.593
H6 0.520 2.084 -0.096
H7 1.545 -1.493 -0.096
H8 -2.065 -0.592 -0.096

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.47971.60561.60561.60562.15892.15892.1589
O21.47972.62102.62102.62102.73492.73492.7349
O31.60562.62102.49392.49390.96653.35202.9394
O41.60562.62102.49392.49392.93940.96653.3520
O51.60562.62102.49392.49393.35202.93940.9665
H62.15892.73490.96652.93943.35203.72123.7212
H72.15892.73493.35200.96652.93943.72123.7212
H82.15892.73492.93943.35200.96653.72123.7212

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 111.727 P1 O4 H7 111.727
P1 O5 H8 111.727 O2 P1 O3 116.261
O2 P1 O4 116.261 O2 P1 O5 116.261
O3 P1 O4 101.908 O3 P1 O5 101.908
O4 P1 O5 101.908
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 1.671      
2 O -0.695      
3 O -0.718      
4 O -0.718      
5 O -0.718      
6 H 0.393      
7 H 0.393      
8 H 0.393      


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 -0.218 0.218
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.898 0.000 0.000
y 0.000 -28.898 0.000
z 0.000 0.000 -45.218
Traceless
 xyz
x 8.160 0.000 0.000
y 0.000 8.160 0.000
z 0.000 0.000 -16.321
Polar
3z2-r2-32.641
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 5.164 0.000 0.000
y 0.000 5.164 0.000
z 0.000 0.000 5.311


<r2> (average value of r2) Å2
<r2> 114.130
(<r2>)1/2 10.683