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All results from a given calculation for PBr3 (Phosphorus tribromide)

using model chemistry: M06-2X/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 1A1
Energy calculated at M06-2X/6-31G(2df,p)
 hartrees
Energy at 0K-8057.223646
Energy at 298.15K-8057.232838
HF Energy-8057.223646
Nuclear repulsion energy950.368096
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 M06-2X/6-31G(2df,p)
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 416 396 12.53      
2 A1 166 158 0.12      
3 E 423 403 93.70      
3 E 423 402 93.79      
4 E 115 110 0.01      
4 E 115 110 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 828.7 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 789.3 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 M06-2X/6-31G(2df,p)
ABC
0.03489 0.03489 0.01852

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G(2df,p)

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.890
Br2 0.000 1.953 -0.127
Br3 1.691 -0.976 -0.127
Br4 -1.691 -0.976 -0.127

Atom - Atom Distances (Å)
  P1 Br2 Br3 Br4
P12.20182.20182.2018
Br22.20183.38243.3824
Br32.20183.38243.3824
Br42.20183.38243.3824

picture of Phosphorus tribromide state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Br2 P1 Br3 100.363 Br2 P1 Br4 100.363
Br3 P1 Br4 100.363
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 0.231      
2 Br -0.077      
3 Br -0.077      
4 Br -0.077      


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 0.375 0.375
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -66.592 0.000 0.000
y 0.000 -66.592 0.000
z 0.000 0.000 -66.650
Traceless
 xyz
x 0.029 0.000 0.000
y 0.000 0.029 0.000
z 0.000 0.000 -0.058
Polar
3z2-r2-0.116
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 13.633 0.000 0.000
y 0.000 13.662 -0.001
z 0.000 -0.001 9.195


<r2> (average value of r2) Å2
<r2> 458.707
(<r2>)1/2 21.417