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

using model chemistry: PBEPBE/STO-3G

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/STO-3G
 hartrees
Energy at 0K-635.433000
Energy at 298.15K 
HF Energy-635.433000
Nuclear repulsion energy256.841348
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/STO-3G
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 3551 3244 62.67      
2 A 1303 1190 43.98      
3 A 1119 1023 15.79      
4 A 659 602 2.69      
5 A 298 272 5.54      
6 A 166 152 17.40      
7 E 3549 3242 17.05      
7 E 3549 3242 17.05      
8 E 1237 1130 24.14      
8 E 1237 1130 24.13      
9 E 760 694 131.85      
9 E 760 694 131.85      
10 E 285 260 5.88      
10 E 285 260 5.89      
11 E 243 222 43.82      
11 E 243 222 43.81      
12 E 25i 23i 29.40      
12 E 26i 23i 29.42      

Unscaled Zero Point Vibrational Energy (zpe) 9595.3 cm-1
Scaled (by 0.9136) Zero Point Vibrational Energy (zpe) 8766.3 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 PBEPBE/STO-3G
ABC
0.13055 0.12292 0.12292

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/STO-3G

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.174
O2 0.000 0.000 1.744
O3 0.000 1.545 -0.692
O4 1.338 -0.772 -0.692
O5 -1.338 -0.772 -0.692
H6 0.450 2.155 0.021
H7 1.642 -1.467 0.021
H8 -2.092 -0.688 0.021

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.56981.77091.77091.77092.20712.20712.2071
O21.56982.88452.88452.88452.79562.79562.7956
O31.77092.88452.67522.67521.04153.50363.1414
O41.77092.88452.67522.67523.14141.04153.5036
O51.77092.88452.67522.67523.50363.14141.0415
H62.20712.79561.04153.14143.50363.81373.8137
H72.20712.79563.50361.04153.14143.81373.8137
H82.20712.79563.14143.50361.04153.81373.8137

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 100.160 P1 O4 H7 100.160
P1 O5 H8 100.160 O2 P1 O3 119.287
O2 P1 O4 119.287 O2 P1 O5 119.287
O3 P1 O4 98.108 O3 P1 O5 98.108
O4 P1 O5 98.108
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 0.812      
2 O -0.384      
3 O -0.295      
4 O -0.295      
5 O -0.295      
6 H 0.152      
7 H 0.152      
8 H 0.152      


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 1.173 1.173
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.407 0.000 0.000
y 0.000 -28.407 0.000
z 0.000 0.000 -38.045
Traceless
 xyz
x 4.819 0.000 0.000
y 0.000 4.819 0.000
z 0.000 0.000 -9.638
Polar
3z2-r2-19.275
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 3.548 0.000 0.000
y 0.000 3.548 0.000
z 0.000 0.000 3.377


<r2> (average value of r2) Å2
<r2> 127.831
(<r2>)1/2 11.306