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

using model chemistry: TPSSh/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3 1A
Energy calculated at TPSSh/cc-pVTZ
 hartrees
Energy at 0K-644.322581
Energy at 298.15K-644.328607
HF Energy-644.322581
Nuclear repulsion energy279.163060
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 TPSSh/cc-pVTZ
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 3801 3680 17.75      
2 A 1310 1268 274.32      
3 A 1045 1012 80.59      
4 A 825 799 17.18      
5 A 447 433 21.33      
6 A 327 317 79.40      
7 E 3799 3679 150.16      
7 E 3799 3679 150.15      
8 E 1052 1019 57.06      
8 E 1052 1019 57.09      
9 E 915 886 311.85      
9 E 915 886 311.77      
10 E 444 430 58.11      
10 E 444 430 58.10      
11 E 375 364 45.90      
11 E 375 364 45.90      
12 E 183 177 59.01      
12 E 183 177 59.02      

Unscaled Zero Point Vibrational Energy (zpe) 10646.2 cm-1
Scaled (by 0.9683) Zero Point Vibrational Energy (zpe) 10308.7 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 TPSSh/cc-pVTZ
ABC
0.14984 0.14743 0.14743

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/cc-pVTZ

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.118
O2 0.000 0.000 1.588
O3 0.000 1.427 -0.592
O4 1.235 -0.713 -0.592
O5 -1.235 -0.713 -0.592
H6 0.502 2.082 -0.094
H7 1.552 -1.476 -0.094
H8 -2.054 -0.606 -0.094

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.46941.59351.59351.59352.15182.15182.1518
O21.46942.60482.60482.60482.72262.72262.7226
O31.59352.60482.47092.47090.96403.32862.9320
O41.59352.60482.47092.47092.93200.96403.3286
O51.59352.60482.47092.47093.32862.93200.9640
H62.15182.72260.96402.93203.32863.70893.7089
H72.15182.72263.32860.96402.93203.70893.7089
H82.15182.72262.93203.32860.96403.70893.7089

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 112.218 P1 O4 H7 112.218
P1 O5 H8 112.218 O2 P1 O3 116.459
O2 P1 O4 116.459 O2 P1 O5 116.459
O3 P1 O4 101.666 O3 P1 O5 101.666
O4 P1 O5 101.666
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 0.795      
2 O -0.501      
3 O -0.323      
4 O -0.323      
5 O -0.323      
6 H 0.225      
7 H 0.225      
8 H 0.225      


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 -0.378 0.378
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.050 0.000 -0.000
y 0.000 5.051 0.000
z -0.000 0.000 4.958


<r2> (average value of r2) Å2
<r2> 113.047
(<r2>)1/2 10.632