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All results from a given calculation for P4 (Phosphorus tetramer)

using model chemistry: wB97X-D/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes TD 1A1
Energy calculated at wB97X-D/6-31+G**
 hartrees
Energy at 0K-1365.350464
Energy at 298.15K-1365.353108
HF Energy-1365.350464
Nuclear repulsion energy324.647803
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 wB97X-D/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 A1 607 578 0.00      
2 E 381 363 0.00      
2 E 381 363 0.00      
3 T2 485 462 2.18      
3 T2 485 462 2.18      
3 T2 485 462 2.18      

Unscaled Zero Point Vibrational Energy (zpe) 1412.4 cm-1
Scaled (by 0.9523) Zero Point Vibrational Energy (zpe) 1345.0 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 wB97X-D/6-31+G**
ABC
0.11240 0.11240 0.11240

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31+G**

Point Group is Td

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.781 0.781 0.781
P2 -0.781 -0.781 0.781
P3 -0.781 0.781 -0.781
P4 0.781 -0.781 -0.781

Atom - Atom Distances (Å)
  P1 P2 P3 P4
P12.20772.20772.2077
P22.20772.20772.2077
P32.20772.20772.2077
P42.20772.20772.2077

picture of Phosphorus tetramer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
P1 P2 P3 60.000 P1 P2 P4 60.000
P1 P3 P2 60.000 P1 P3 P4 60.000
P1 P4 P2 60.000 P1 P4 P3 60.000
P2 P1 P3 60.000 P2 P1 P4 60.000
P2 P3 P4 60.000 P2 P4 P3 60.000
P3 P1 P4 60.000 P3 P2 P4 60.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 0.000      
2 P 0.000      
3 P 0.000      
4 P 0.000      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.778 0.000 0.000
y 0.000 -51.778 0.000
z 0.000 0.000 -51.778
Traceless
 xyz
x 0.000 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 0.000
Polar
3z2-r20.000
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 12.718 0.000 0.000
y 0.000 12.718 0.000
z 0.000 0.000 12.718


<r2> (average value of r2) Å2
<r2> 141.290
(<r2>)1/2 11.887