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

using model chemistry: mPW1PW91/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 mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-644.134579
Energy at 298.15K-644.140385
HF Energy-644.134579
Nuclear repulsion energy276.237552
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/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 3864 3703 20.06      
2 A 1280 1226 316.80      
3 A 1074 1029 64.17      
4 A 808 774 13.63      
5 A 427 409 18.62      
6 A 292 280 75.35      
7 E 3862 3701 172.90      
7 E 3862 3701 172.89      
8 E 1071 1026 66.95      
8 E 1071 1026 66.95      
9 E 916 878 293.42      
9 E 916 878 293.37      
10 E 428 410 60.37      
10 E 428 410 60.37      
11 E 357 342 47.05      
11 E 357 342 47.05      
12 E 152 146 61.76      
12 E 152 146 61.76      

Unscaled Zero Point Vibrational Energy (zpe) 10657.9 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 10213.5 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/aug-cc-pVDZ
ABC
0.14720 0.14391 0.14391

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.123
O2 0.000 0.000 1.616
O3 0.000 1.448 -0.606
O4 1.254 -0.724 -0.606
O5 -1.254 -0.724 -0.606
H6 0.495 2.088 -0.080
H7 1.560 -1.472 -0.080
H8 -2.055 -0.615 -0.080

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.49271.62121.62121.62122.15502.15502.1550
O21.49272.65212.65212.65212.73492.73492.7349
O31.62122.65212.50802.50800.96453.35252.9593
O41.62122.65212.50802.50802.95930.96453.3525
O51.62122.65212.50802.50803.35252.95930.9645
H62.15502.73490.96452.95933.35253.71593.7159
H72.15502.73493.35250.96452.95933.71593.7159
H82.15502.73492.95933.35250.96453.71593.7159

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 110.308 P1 O4 H7 110.308
P1 O5 H8 110.308 O2 P1 O3 116.730
O2 P1 O4 116.730 O2 P1 O5 116.730
O3 P1 O4 101.335 O3 P1 O5 101.335
O4 P1 O5 101.335
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 1.962      
2 O -0.736      
3 O -0.546      
4 O -0.546      
5 O -0.546      
6 H 0.137      
7 H 0.137      
8 H 0.137      


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 -0.338 0.338
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.262 0.000 0.000
y 0.000 -29.262 0.000
z 0.000 0.000 -44.697
Traceless
 xyz
x 7.718 0.000 0.000
y 0.000 7.718 0.000
z 0.000 0.000 -15.435
Polar
3z2-r2-30.870
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 5.753 0.000 -0.000
y 0.000 5.753 -0.000
z -0.000 -0.000 5.781


<r2> (average value of r2) Å2
<r2> 115.567
(<r2>)1/2 10.750