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

using model chemistry: mPW1PW91/6-31+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 mPW1PW91/6-31+G**
 hartrees
Energy at 0K-644.092830
Energy at 298.15K-644.098759
HF Energy-644.092830
Nuclear repulsion energy279.152675
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 mPW1PW91/6-31+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 3897 3709 22.72      
2 A 1317 1254 342.91      
3 A 1040 989 102.39      
4 A 835 795 18.63      
5 A 448 426 27.64      
6 A 320 305 103.82      
7 E 3894 3707 195.45      
7 E 3894 3707 195.44      
8 E 1044 994 80.22      
8 E 1044 994 80.20      
9 E 927 882 337.45      
9 E 927 882 337.42      
10 E 449 428 81.78      
10 E 449 428 81.78      
11 E 372 354 40.43      
11 E 372 354 40.44      
12 E 161 153 77.55      
12 E 161 153 77.55      

Unscaled Zero Point Vibrational Energy (zpe) 10775.6 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 10256.2 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 mPW1PW91/6-31+G**
ABC
0.14930 0.14760 0.14760

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

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.116
O2 0.000 0.000 1.592
O3 0.000 1.436 -0.591
O4 1.244 -0.718 -0.591
O5 -1.244 -0.718 -0.591
H6 0.517 2.082 -0.095
H7 1.544 -1.488 -0.095
H8 -2.061 -0.593 -0.095

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.47641.60091.60091.60092.15512.15512.1551
O21.47642.61342.61342.61342.72882.72882.7288
O31.60092.61342.48792.48790.96423.34452.9349
O41.60092.61342.48792.48792.93490.96423.3445
O51.60092.61342.48792.48793.34452.93490.9642
H62.15512.72880.96422.93493.34453.71493.7149
H72.15512.72883.34450.96422.93493.71493.7149
H82.15512.72882.93493.34450.96423.71493.7149

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 111.908 P1 O4 H7 111.908
P1 O5 H8 111.908 O2 P1 O3 116.205
O2 P1 O4 116.205 O2 P1 O5 116.205
O3 P1 O4 101.976 O3 P1 O5 101.976
O4 P1 O5 101.976
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 1.704      
2 O -0.706      
3 O -0.730      
4 O -0.730      
5 O -0.730      
6 H 0.397      
7 H 0.397      
8 H 0.397      


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 -0.234 0.234
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.864 0.000 0.000
y 0.000 -28.864 0.000
z 0.000 0.000 -45.252
Traceless
 xyz
x 8.194 0.000 0.000
y 0.000 8.194 0.000
z 0.000 0.000 -16.388
Polar
3z2-r2-32.776
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 5.090 -0.000 0.000
y -0.000 5.090 -0.000
z 0.000 -0.000 5.235


<r2> (average value of r2) Å2
<r2> 113.650
(<r2>)1/2 10.661