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

using model chemistry: M06-2X/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-644.022592
Energy at 298.15K-644.028809
HF Energy-644.022592
Nuclear repulsion energy279.668224
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/6-31+G**
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 3893 3707 29.23      
2 A 1337 1273 360.78      
3 A 1036 987 120.36      
4 A 858 817 16.21      
5 A 458 437 37.24      
6 A 352 336 89.41      
7 E 3889 3703 224.92      
7 E 3889 3703 224.75      
8 E 1044 994 92.69      
8 E 1044 994 92.92      
9 E 942 897 341.12      
9 E 942 897 341.41      
10 E 460 438 103.68      
10 E 460 438 103.61      
11 E 390 372 48.54      
11 E 390 372 48.42      
12 E 218 208 65.13      
12 E 218 208 65.24      

Unscaled Zero Point Vibrational Energy (zpe) 10910.7 cm-1
Scaled (by 0.9522) Zero Point Vibrational Energy (zpe) 10389.2 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/6-31+G**
ABC
0.14948 0.14838 0.14838

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31+G**

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.113
O2 0.000 0.000 1.586
O3 0.000 1.435 -0.588
O4 1.243 -0.717 -0.588
O5 -1.243 -0.717 -0.588
H6 0.503 2.090 -0.087
H7 1.559 -1.481 -0.087
H8 -2.062 -0.609 -0.087

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.47301.59691.59691.59692.15902.15902.1590
O21.47302.60472.60472.60472.72382.72382.7238
O31.59692.60472.48532.48530.96613.34382.9463
O41.59692.60472.48532.48532.94630.96613.3438
O51.59692.60472.48532.48533.34382.94630.9661
H62.15902.72380.96612.94633.34383.72353.7235
H72.15902.72383.34380.96612.94633.72353.7235
H82.15902.72382.94633.34380.96613.72353.7235

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 112.441 P1 O4 H7 112.441
P1 O5 H8 112.441 O2 P1 O3 116.029
O2 P1 O4 116.029 O2 P1 O5 116.029
O3 P1 O4 102.189 O3 P1 O5 102.189
O4 P1 O5 102.189
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 1.736      
2 O -0.721      
3 O -0.744      
4 O -0.744      
5 O -0.744      
6 H 0.406      
7 H 0.406      
8 H 0.406      


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 -0.209 0.209
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.844 0.000 0.000
y 0.000 -28.844 0.000
z 0.000 0.000 -45.502
Traceless
 xyz
x 8.329 0.000 0.000
y 0.000 8.329 0.000
z 0.000 0.000 -16.658
Polar
3z2-r2-33.316
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 4.940 -0.000 0.001
y -0.000 4.945 -0.001
z 0.001 -0.001 5.067


<r2> (average value of r2) Å2
<r2> 113.392
(<r2>)1/2 10.649