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

using model chemistry: M06-2X/aug-cc-pVDZ

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/aug-cc-pVDZ
 hartrees
Energy at 0K-644.078666
Energy at 298.15K-644.084929
HF Energy-644.078666
Nuclear repulsion energy276.955981
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/aug-cc-pVDZ
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 3860 3860 26.17      
2 A 1300 1300 333.86      
3 A 1083 1083 73.03      
4 A 837 837 12.31      
5 A 450 450 40.01      
6 A 353 353 55.09      
7 E 3856 3856 200.64      
7 E 3856 3856 200.68      
8 E 1081 1081 71.15      
8 E 1081 1081 71.10      
9 E 944 944 302.38      
9 E 944 944 302.33      
10 E 441 441 84.05      
10 E 441 441 83.95      
11 E 394 394 55.87      
11 E 394 394 55.87      
12 E 232 232 40.35      
12 E 232 232 40.41      

Unscaled Zero Point Vibrational Energy (zpe) 10888.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 10888.4 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/aug-cc-pVDZ
ABC
0.14755 0.14492 0.14492

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/aug-cc-pVDZ

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.120
O2 0.000 0.000 1.608
O3 0.000 1.446 -0.602
O4 1.252 -0.723 -0.602
O5 -1.252 -0.723 -0.602
H6 0.491 2.090 -0.074
H7 1.565 -1.470 -0.074
H8 -2.055 -0.620 -0.074

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.48811.61601.61601.61602.15552.15552.1555
O21.48812.64092.64092.64092.72752.72752.7275
O31.61602.64092.50432.50430.96613.35072.9615
O41.61602.64092.50432.50432.96150.96613.3507
O51.61602.64092.50432.50433.35072.96150.9661
H62.15552.72750.96612.96153.35073.71823.7182
H72.15552.72753.35070.96612.96153.71823.7182
H82.15552.72752.96153.35070.96613.71823.7182

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 110.649 P1 O4 H7 110.649
P1 O5 H8 110.649 O2 P1 O3 116.530
O2 P1 O4 116.530 O2 P1 O5 116.530
O3 P1 O4 101.580 O3 P1 O5 101.580
O4 P1 O5 101.580
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 1.878      
2 O -0.712      
3 O -0.518      
4 O -0.518      
5 O -0.518      
6 H 0.130      
7 H 0.130      
8 H 0.130      


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 -0.349 0.349
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.274 0.000 0.000
y 0.000 -29.274 0.000
z 0.000 0.000 -44.908
Traceless
 xyz
x 7.817 0.000 0.000
y 0.000 7.817 0.000
z 0.000 0.000 -15.634
Polar
3z2-r2-31.268
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 5.561 0.000 0.001
y 0.000 5.567 -0.001
z 0.001 -0.001 5.558


<r2> (average value of r2) Å2
<r2> 115.149
(<r2>)1/2 10.731