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All results from a given calculation for B2H4 (Diborane(4) D2d)

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 D2D 1A1
Energy calculated at PBE1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-51.950062
Energy at 298.15K-51.952450
HF Energy-51.950062
Nuclear repulsion energy22.318164
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 A1 2587 2476 0.00      
2 A1 1191 1140 0.00      
3 A1 873 836 0.00      
4 B1 563 539 0.00      
5 B2 2566 2455 54.70      
6 B2 1124 1076 1.65      
7 E 2640 2526 63.19      
7 E 2640 2526 63.19      
8 E 986 944 26.88      
8 E 986 944 26.88      
9 E 375 359 1.88      
9 E 375 359 1.88      

Unscaled Zero Point Vibrational Energy (zpe) 8452.7 cm-1
Scaled (by 0.957) Zero Point Vibrational Energy (zpe) 8089.3 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)
ABC
4.04438 0.66458 0.66458

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
B1 0.000 0.000 0.818
B2 0.000 0.000 -0.818
H3 0.000 1.017 1.458
H4 0.000 -1.017 1.458
H5 1.017 0.000 -1.458
H6 -1.017 0.000 -1.458

Atom - Atom Distances (Å)
  B1 B2 H3 H4 H5 H6
B11.63511.20151.20152.49202.4920
B21.63512.49202.49201.20151.2015
H31.20152.49202.03373.25053.2505
H41.20152.49202.03373.25053.2505
H52.49201.20153.25053.25052.0337
H62.49201.20153.25053.25052.0337

picture of Diborane(4) D2d state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
B1 B2 H5 122.186 B1 B2 H6 122.186
B2 B1 H3 122.186 B2 B1 H4 122.186
H3 B1 H4 115.627 H5 B2 H6 115.627
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 -0.048      
2 B -0.048      
3 H 0.024      
4 H 0.024      
5 H 0.024      
6 H 0.024      


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 -14.142 0.000 0.000
y 0.000 -14.142 0.000
z 0.000 0.000 -16.062
Traceless
 xyz
x 0.960 0.000 0.000
y 0.000 0.960 0.000
z 0.000 0.000 -1.920
Polar
3z2-r2-3.840
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 3.403 0.000 0.000
y 0.000 3.403 0.000
z 0.000 0.000 5.368


<r2> (average value of r2) Å2
<r2> 28.550
(<r2>)1/2 5.343