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

using model chemistry: mPW1PW91/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 mPW1PW91/TZVP
 hartrees
Energy at 0K-644.211002
Energy at 298.15K-644.216931
HF Energy-644.211002
Nuclear repulsion energy278.473437
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/TZVP
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 3880 3701 21.83      
2 A 1312 1251 328.02      
3 A 1043 995 77.13      
4 A 835 797 18.84      
5 A 447 427 29.08      
6 A 310 296 97.94      
7 E 3877 3699 178.14      
7 E 3877 3699 178.13      
8 E 1048 1000 68.32      
8 E 1048 1000 68.32      
9 E 928 885 340.29      
9 E 928 885 340.28      
10 E 445 424 82.25      
10 E 445 424 82.25      
11 E 367 350 45.21      
11 E 367 350 45.21      
12 E 163 156 74.73      
12 E 163 156 74.74      

Unscaled Zero Point Vibrational Energy (zpe) 10742.0 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 10247.9 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/TZVP
ABC
0.14858 0.14680 0.14680

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/TZVP

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.116
O2 0.000 0.000 1.597
O3 0.000 1.441 -0.593
O4 1.248 -0.720 -0.593
O5 -1.248 -0.720 -0.593
H6 0.526 2.073 -0.093
H7 1.532 -1.492 -0.093
H8 -2.058 -0.581 -0.093

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.48021.60621.60621.60622.14902.14902.1490
O21.48022.62142.62142.62142.72582.72582.7258
O31.60622.62142.49572.49570.96233.34662.9284
O41.60622.62142.49572.49572.92840.96233.3466
O51.60622.62142.49572.49573.34662.92840.9623
H62.14902.72580.96232.92843.34663.70433.7043
H72.14902.72583.34660.96232.92843.70433.7043
H82.14902.72582.92843.34660.96233.70433.7043

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 111.089 P1 O4 H7 111.089
P1 O5 H8 111.089 O2 P1 O3 116.220
O2 P1 O4 116.220 O2 P1 O5 116.220
O3 P1 O4 101.958 O3 P1 O5 101.958
O4 P1 O5 101.958
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 0.705      
2 O -0.469      
3 O -0.396      
4 O -0.396      
5 O -0.396      
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 -0.161 0.161
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.757 0.000 0.000
y 0.000 -28.757 0.000
z 0.000 0.000 -45.038
Traceless
 xyz
x 8.140 0.000 0.000
y 0.000 8.140 0.000
z 0.000 0.000 -16.281
Polar
3z2-r2-32.561
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 4.731 0.000 -0.000
y 0.000 4.731 0.000
z -0.000 0.000 4.793


<r2> (average value of r2) Å2
<r2> 113.973
(<r2>)1/2 10.676