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

using model chemistry: LSDA/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 LSDA/6-31+G**
 hartrees
Energy at 0K-641.777012
Energy at 298.15K-641.782770
HF Energy-641.777012
Nuclear repulsion energy278.683304
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 LSDA/6-31+G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3744 3688 19.05      
2 A 1291 1271 305.24      
3 A 980 965 105.67      
4 A 822 809 17.87      
5 A 431 425 29.05      
6 A 320 315 102.55      
7 E 3742 3686 189.00      
7 E 3742 3686 189.02      
8 E 1001 986 100.30      
8 E 1001 986 100.26      
9 E 898 885 301.69      
9 E 898 885 301.68      
10 E 427 421 72.33      
10 E 427 421 72.32      
11 E 360 355 42.33      
11 E 360 355 42.31      
12 E 146 144 74.31      
12 E 146 144 74.32      

Unscaled Zero Point Vibrational Energy (zpe) 10367.5 cm-1
Scaled (by 0.985) Zero Point Vibrational Energy (zpe) 10212.0 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 LSDA/6-31+G**
ABC
0.14972 0.14696 0.14696

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

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 1.601
O3 0.000 1.434 -0.595
O4 1.241 -0.717 -0.595
O5 -1.241 -0.717 -0.595
H6 0.533 2.083 -0.095
H7 1.538 -1.503 -0.095
H8 -2.071 -0.580 -0.095

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.48301.60091.60091.60092.16092.16092.1609
O21.48302.62212.62212.62212.73872.73872.7387
O31.60092.62212.48302.48300.97773.35242.9312
O41.60092.62212.48302.48302.93120.97773.3524
O51.60092.62212.48302.48303.35242.93120.9777
H62.16092.73870.97772.93123.35243.72463.7246
H72.16092.73873.35240.97772.93123.72463.7246
H82.16092.73872.93123.35240.97773.72463.7246

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 111.571 P1 O4 H7 111.571
P1 O5 H8 111.571 O2 P1 O3 116.428
O2 P1 O4 116.428 O2 P1 O5 116.428
O3 P1 O4 101.704 O3 P1 O5 101.704
O4 P1 O5 101.704
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 1.385      
2 O -0.617      
3 O -0.657      
4 O -0.657      
5 O -0.657      
6 H 0.401      
7 H 0.401      
8 H 0.401      


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 -0.180 0.180
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.067 0.000 0.000
y 0.000 -29.067 0.000
z 0.000 0.000 -45.432
Traceless
 xyz
x 8.183 0.000 0.000
y 0.000 8.183 0.000
z 0.000 0.000 -16.365
Polar
3z2-r2-32.731
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 5.536 0.000 0.000
y 0.000 5.535 0.000
z 0.000 0.000 5.670


<r2> (average value of r2) Å2
<r2> 113.980
(<r2>)1/2 10.676