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

using model chemistry: HSEh1PBE/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 HSEh1PBE/cc-pVDZ
 hartrees
Energy at 0K-643.749610
Energy at 298.15K-643.755409
HF Energy-643.749610
Nuclear repulsion energy276.207749
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 HSEh1PBE/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 3832 3686 32.41      
2 A 1304 1254 272.71      
3 A 1062 1021 61.85      
4 A 815 784 13.15      
5 A 431 414 21.24      
6 A 292 281 75.60      
7 E 3829 3684 165.16      
7 E 3829 3684 165.18      
8 E 1060 1020 58.31      
8 E 1060 1020 58.31      
9 E 924 889 310.52      
9 E 924 889 310.49      
10 E 433 417 67.96      
10 E 433 417 67.96      
11 E 360 346 45.37      
11 E 360 346 45.36      
12 E 146 141 70.72      
12 E 146 141 70.71      

Unscaled Zero Point Vibrational Energy (zpe) 10620.7 cm-1
Scaled (by 0.9619) Zero Point Vibrational Energy (zpe) 10216.1 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 HSEh1PBE/cc-pVDZ
ABC
0.14691 0.14405 0.14405

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/cc-pVDZ

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.122
O2 0.000 0.000 1.612
O3 0.000 1.451 -0.606
O4 1.256 -0.725 -0.606
O5 -1.256 -0.725 -0.606
H6 0.499 2.074 -0.058
H7 1.546 -1.469 -0.058
H8 -2.046 -0.605 -0.058

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.49001.62311.62311.62312.14072.14072.1407
O21.49002.65032.65032.65032.70892.70892.7089
O31.62312.65032.51282.51280.96853.34942.9512
O41.62312.65032.51282.51282.95120.96853.3494
O51.62312.65032.51282.51283.34942.95120.9685
H62.14072.70890.96852.95123.34943.69463.6946
H72.14072.70893.34940.96852.95123.69463.6946
H82.14072.70892.95123.34940.96853.69463.6946

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 108.737 P1 O4 H7 108.737
P1 O5 H8 108.737 O2 P1 O3 116.644
O2 P1 O4 116.644 O2 P1 O5 116.644
O3 P1 O4 101.440 O3 P1 O5 101.440
O4 P1 O5 101.440
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 0.854      
2 O -0.481      
3 O -0.313      
4 O -0.313      
5 O -0.313      
6 H 0.189      
7 H 0.189      
8 H 0.189      


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 0.050 0.050
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.388 0.000 0.000
y 0.000 -28.388 0.000
z 0.000 0.000 -43.245
Traceless
 xyz
x 7.428 0.000 0.000
y 0.000 7.428 0.000
z 0.000 0.000 -14.857
Polar
3z2-r2-29.714
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 4.311 0.000 0.000
y 0.000 4.311 0.000
z 0.000 0.000 4.223


<r2> (average value of r2) Å2
<r2> 114.820
(<r2>)1/2 10.715