return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for B2 (Boron diatomic)

using model chemistry: PBE1PBE/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D*H 3Σg
2 1 yes D*H 1Σg
3 1 yes D*H 5Σu

State 1 (3Σg)

Jump to S2C1 S3C1
Energy calculated at PBE1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-49.330489
Energy at 298.15K-49.328067
HF Energy-49.330489
Nuclear repulsion energy8.176790
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 PBE1PBE/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 Σg 1027 982 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 513.3 cm-1
Scaled (by 0.957) Zero Point Vibrational Energy (zpe) 491.2 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 PBE1PBE/6-31G(2df,p)
B
1.16990

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G(2df,p)

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
B1 0.000 0.000 0.809
B2 0.000 0.000 -0.809

Atom - Atom Distances (Å)
  B1 B2
B11.6179
B21.6179

picture of Boron diatomic state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 B 0.000      
2 B 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 -12.681 0.000 0.000
y 0.000 -12.681 0.000
z 0.000 0.000 -11.774
Traceless
 xyz
x -0.453 0.000 0.000
y 0.000 -0.453 0.000
z 0.000 0.000 0.907
Polar
3z2-r21.814
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 8.865 0.000 0.000
y 0.000 8.865 0.000
z 0.000 0.000 8.383


<r2> (average value of r2) Å2
<r2> 14.276
(<r2>)1/2 3.778

State 2 (1Σg)

Jump to S1C1 S3C1
Energy calculated at PBE1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-49.288739
Energy at 298.15K-49.286309
HF Energy-49.288739
Nuclear repulsion energy8.052414
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 PBE1PBE/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 Σg 979 937 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 489.4 cm-1
Scaled (by 0.957) Zero Point Vibrational Energy (zpe) 468.4 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 PBE1PBE/6-31G(2df,p)
B
1.13458

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G(2df,p)

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
B1 0.000 0.000 0.821
B2 0.000 0.000 -0.821

Atom - Atom Distances (Å)
  B1 B2
B11.6429
B21.6429

picture of Boron diatomic state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 B 0.000      
2 B 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 -10.124 0.000 0.000
y 0.000 -15.533 0.000
z 0.000 0.000 -11.804
Traceless
 xyz
x 3.545 0.000 0.000
y 0.000 -4.569 0.000
z 0.000 0.000 1.025
Polar
3z2-r22.049
x2-y25.409
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.120 0.000 0.000
y 0.000 12.318 0.000
z 0.000 0.000 8.525


<r2> (average value of r2) Å2
<r2> 14.547
(<r2>)1/2 3.814

State 3 (5Σu)

Jump to S1C1 S2C1
Energy calculated at PBE1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-49.346350
Energy at 298.15K-49.343958
HF Energy-49.346350
Nuclear repulsion energy8.690021
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 PBE1PBE/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 Σg 1296 1241 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 648.2 cm-1
Scaled (by 0.957) Zero Point Vibrational Energy (zpe) 620.3 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 PBE1PBE/6-31G(2df,p)
B
1.32137

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G(2df,p)

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
B1 0.000 0.000 0.761
B2 0.000 0.000 -0.761

Atom - Atom Distances (Å)
  B1 B2
B11.5224
B21.5224

picture of Boron diatomic state 3 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 B 0.000      
2 B 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 -11.934 0.000 0.000
y 0.000 -11.934 0.000
z 0.000 0.000 -12.089
Traceless
 xyz
x 0.078 0.000 0.000
y 0.000 0.078 0.000
z 0.000 0.000 -0.155
Polar
3z2-r2-0.311
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 2.571 0.000 0.000
y 0.000 2.571 0.000
z 0.000 0.000 5.142


<r2> (average value of r2) Å2
<r2> 13.280
(<r2>)1/2 3.644