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

using model chemistry: B3LYP/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3 1A
Energy calculated at B3LYP/3-21G
 hartrees
Energy at 0K-640.647945
Energy at 298.15K 
HF Energy-640.647945
Nuclear repulsion energy268.199481
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 B3LYP/3-21G
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 3537 3413 2.05      
2 A 1230 1187 129.48      
3 A 1033 996 101.64      
4 A 761 734 32.43      
5 A 419 405 48.40      
6 A 180 174 256.52      
7 E 3536 3412 74.70      
7 E 3536 3412 74.70      
8 E 1094 1056 61.76      
8 E 1094 1056 61.76      
9 E 876 845 259.25      
9 E 875 845 259.23      
10 E 399 385 85.08      
10 E 399 385 85.08      
11 E 316 305 2.10      
11 E 316 305 2.10      
12 E 94i 91i 86.15      
12 E 94i 91i 86.15      

Unscaled Zero Point Vibrational Energy (zpe) 9705.5 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 9364.8 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 B3LYP/3-21G
ABC
0.14078 0.13485 0.13485

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.149
O2 0.000 0.000 1.698
O3 0.000 1.480 -0.611
O4 1.282 -0.740 -0.611
O5 -1.282 -0.740 -0.611
H6 0.771 2.062 -0.378
H7 1.400 -1.698 -0.378
H8 -2.171 -0.363 -0.378

Atom - Atom Distances (Å)
  P1 O2 O3 O4 O5 H6 H7 H8
P11.54901.66371.66371.66372.26312.26312.2631
O21.54902.74262.74262.74263.02553.02553.0255
O31.66372.74262.56342.56340.99323.48072.8573
O41.66372.74262.56342.56342.85730.99323.4807
O51.66372.74262.56342.56343.48072.85730.9932
H62.26313.02550.99322.85733.48073.81213.8121
H72.26313.02553.48070.99322.85733.81213.8121
H82.26313.02552.85733.48070.99323.81213.8121

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 114.440 P1 O4 H7 114.440
P1 O5 H8 114.441 O2 P1 O3 117.181
O2 P1 O4 117.181 O2 P1 O5 117.181
O3 P1 O4 100.778 O3 P1 O5 100.778
O4 P1 O5 100.778
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 1.491      
2 O -0.621      
3 O -0.685      
4 O -0.685      
5 O -0.685      
6 H 0.395      
7 H 0.395      
8 H 0.395      


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 -0.839 0.839
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.586 0.000 0.000
y 0.000 -28.586 0.000
z 0.000 0.000 -45.040
Traceless
 xyz
x 8.227 0.000 0.000
y 0.000 8.227 0.000
z 0.000 0.000 -16.453
Polar
3z2-r2-32.907
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 4.215 0.000 0.000
y 0.000 4.215 0.000
z 0.000 0.000 3.839


<r2> (average value of r2) Å2
<r2> 121.167
(<r2>)1/2 11.008