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

using model chemistry: mPW1PW91/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3 1A
Energy calculated at mPW1PW91/6-31G
 hartrees
Energy at 0K-643.808021
Energy at 298.15K-643.813005
HF Energy-643.808021
Nuclear repulsion energy263.775172
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 mPW1PW91/6-31G
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 3735 3535 1.54      
2 A 1106 1047 201.26      
3 A 1030 975 78.74      
4 A 702 665 31.87      
5 A 385 364 52.65      
6 A 233 221 253.93      
7 E 3732 3533 161.16      
7 E 3732 3533 161.16      
8 E 1071 1014 58.67      
8 E 1071 1014 58.68      
9 E 805 762 266.52      
9 E 805 762 266.51      
10 E 363 344 92.65      
10 E 363 344 92.64      
11 E 298 282 19.13      
11 E 298 282 19.13      
12 E 71 67 102.05      
12 E 71 67 102.04      

Unscaled Zero Point Vibrational Energy (zpe) 9934.4 cm-1
Scaled (by 0.9466) Zero Point Vibrational Energy (zpe) 9403.9 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 mPW1PW91/6-31G
ABC
0.13585 0.12996 0.12996

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.150
O2 0.000 0.000 1.728
O3 0.000 1.506 -0.627
O4 1.304 -0.753 -0.627
O5 -1.304 -0.753 -0.627
H6 0.686 2.136 -0.339
H7 1.507 -1.662 -0.339
H8 -2.193 -0.474 -0.339

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.57801.69501.69501.69502.29642.29642.2964
O21.57802.79572.79572.79573.05073.05073.0507
O31.69502.79572.60892.60890.97503.52042.9689
O41.69502.79572.60892.60892.96890.97503.5204
O51.69502.79572.60892.60893.52042.96890.9749
H62.29643.05070.97502.96893.52043.88623.8862
H72.29643.05073.52040.97502.96893.88623.8862
H82.29643.05072.96893.52040.97493.88623.8862

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 116.021 P1 O4 H7 116.021
P1 O5 H8 116.021 O2 P1 O3 117.294
O2 P1 O4 117.294 O2 P1 O5 117.294
O3 P1 O4 100.637 O3 P1 O5 100.637
O4 P1 O5 100.637
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 1.432      
2 O -0.610      
3 O -0.713      
4 O -0.713      
5 O -0.713      
6 H 0.438      
7 H 0.438      
8 H 0.438      


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 -0.390 0.390
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.058 0.000 0.000
y 0.000 -29.058 0.000
z 0.000 0.000 -47.781
Traceless
 xyz
x 9.361 0.000 0.000
y 0.000 9.361 0.000
z 0.000 0.000 -18.722
Polar
3z2-r2-37.445
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 4.712 0.000 -0.000
y 0.000 4.712 0.000
z -0.000 0.000 4.748


<r2> (average value of r2) Å2
<r2> 125.614
(<r2>)1/2 11.208