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

using model chemistry: mPW1PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3 1A
Energy calculated at mPW1PW91/6-311G*
 hartrees
Energy at 0K-644.164329
Energy at 298.15K-644.170417
HF Energy-644.164329
Nuclear repulsion energy280.193739
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 mPW1PW91/6-311G*
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 3879 3702 8.22      
2 A 1335 1274 320.47      
3 A 1050 1003 130.43      
4 A 850 811 21.98      
5 A 471 450 49.63      
6 A 339 324 134.51      
7 E 3876 3699 147.76      
7 E 3876 3699 147.75      
8 E 1074 1025 79.44      
8 E 1074 1025 79.44      
9 E 929 886 367.70      
9 E 929 886 367.69      
10 E 458 437 99.59      
10 E 458 437 99.59      
11 E 386 368 40.63      
11 E 386 368 40.63      
12 E 179 171 85.23      
12 E 179 171 85.23      

Unscaled Zero Point Vibrational Energy (zpe) 10862.7 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 10367.3 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 mPW1PW91/6-311G*
ABC
0.15030 0.14875 0.14875

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.119
O2 0.000 0.000 1.587
O3 0.000 1.430 -0.585
O4 1.238 -0.715 -0.585
O5 -1.238 -0.715 -0.585
H6 0.550 2.082 -0.145
H7 1.528 -1.518 -0.145
H8 -2.078 -0.565 -0.145

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.46841.59421.59421.59422.16982.16982.1698
O21.46842.60132.60132.60132.76402.76402.7640
O31.59422.60132.47702.47700.96023.34932.9142
O41.59422.60132.47702.47702.91420.96023.3493
O51.59422.60132.47702.47703.34932.91420.9602
H62.16982.76400.96022.91423.34933.73033.7303
H72.16982.76403.34930.96022.91423.73033.7303
H82.16982.76402.91423.34930.96023.73033.7303

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 113.990 P1 O4 H7 113.991
P1 O5 H8 113.990 O2 P1 O3 116.227
O2 P1 O4 116.227 O2 P1 O5 116.227
O3 P1 O4 101.950 O3 P1 O5 101.950
O4 P1 O5 101.950
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 1.250      
2 O -0.590      
3 O -0.681      
4 O -0.681      
5 O -0.681      
6 H 0.461      
7 H 0.461      
8 H 0.461      


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 -0.140 0.140
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.065 0.000 0.000
y 0.000 -28.065 0.000
z 0.000 0.000 -45.266
Traceless
 xyz
x 8.601 0.000 0.000
y 0.000 8.601 0.000
z 0.000 0.000 -17.201
Polar
3z2-r2-34.402
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 4.308 0.000 -0.000
y 0.000 4.308 0.000
z -0.000 0.000 4.133


<r2> (average value of r2) Å2
<r2> 112.770
(<r2>)1/2 10.619