return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: M06-2X/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 M06-2X/6-311G*
 hartrees
Energy at 0K-644.107743
Energy at 298.15K-644.113825
HF Energy-644.107743
Nuclear repulsion energy280.582440
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 M06-2X/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 3891 3891 11.90      
2 A 1356 1356 340.59      
3 A 1046 1046 153.83      
4 A 869 869 20.43      
5 A 474 474 42.93      
6 A 327 327 139.56      
7 E 3888 3888 177.14      
7 E 3888 3888 177.01      
8 E 1072 1072 85.94      
8 E 1072 1072 86.07      
9 E 939 939 382.28      
9 E 939 939 381.74      
10 E 467 467 116.17      
10 E 467 467 115.91      
11 E 386 386 38.49      
11 E 386 386 38.39      
12 E 172 172 91.43      
12 E 172 172 91.34      

Unscaled Zero Point Vibrational Energy (zpe) 10905.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 10905.4 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 M06-2X/6-311G*
ABC
0.15032 0.14939 0.14939

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G*

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 1.582
O3 0.000 1.429 -0.582
O4 1.238 -0.715 -0.582
O5 -1.238 -0.715 -0.582
H6 0.543 2.091 -0.142
H7 1.539 -1.516 -0.142
H8 -2.082 -0.575 -0.142

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.46511.59111.59111.59112.17542.17542.1754
O21.46512.59352.59352.59352.76342.76342.7634
O31.59112.59352.47572.47570.96253.35202.9232
O41.59112.59352.47572.47572.92320.96253.3520
O51.59112.59352.47572.47573.35202.92320.9625
H62.17542.76340.96252.92323.35203.74123.7412
H72.17542.76343.35200.96252.92323.74123.7412
H82.17542.76342.92323.35200.96253.74123.7412

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 114.585 P1 O4 H7 114.585
P1 O5 H8 114.585 O2 P1 O3 116.059
O2 P1 O4 116.059 O2 P1 O5 116.059
O3 P1 O4 102.153 O3 P1 O5 102.153
O4 P1 O5 102.153
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 1.324      
2 O -0.617      
3 O -0.704      
4 O -0.704      
5 O -0.704      
6 H 0.468      
7 H 0.468      
8 H 0.468      


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 -0.137 0.137
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.148 0.000 0.000
y 0.000 -28.148 0.000
z 0.000 0.000 -45.681
Traceless
 xyz
x 8.766 0.000 0.000
y 0.000 8.766 0.000
z 0.000 0.000 -17.533
Polar
3z2-r2-35.065
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 4.213 0.001 -0.001
y 0.001 4.217 -0.001
z -0.001 -0.001 4.033


<r2> (average value of r2) Å2
<r2> 112.680
(<r2>)1/2 10.615