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

using model chemistry: mPW1PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-52.019796
Energy at 298.15K-52.022220
HF Energy-52.019796
Nuclear repulsion energy22.301918
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 mPW1PW91/6-31+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 2595 2470 0.00      
2 A1 1203 1145 0.00      
3 A1 873 831 0.00      
4 B1 556 529 0.00      
5 B2 2572 2448 78.14      
6 B2 1135 1080 2.67      
7 E 2645 2517 92.56      
7 E 2645 2517 92.56      
8 E 988 940 25.63      
8 E 988 940 25.63      
9 E 395 376 2.35      
9 E 395 376 2.35      

Unscaled Zero Point Vibrational Energy (zpe) 8494.1 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 8084.7 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 mPW1PW91/6-31+G**
ABC
4.04621 0.66264 0.66264

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
B1 0.000 0.000 0.819
B2 0.000 0.000 -0.819
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
B11.63881.20071.20072.49422.4942
B21.63882.49422.49421.20071.2007
H31.20072.49422.03323.25163.2516
H41.20072.49422.03323.25163.2516
H52.49421.20073.25163.25162.0332
H62.49421.20073.25163.25162.0332

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 122.145 B1 B2 H6 122.145
B2 B1 H3 122.145 B2 B1 H4 122.145
H3 B1 H4 115.709 H5 B2 H6 115.709
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 B -0.012      
2 B -0.012      
3 H 0.006      
4 H 0.006      
5 H 0.006      
6 H 0.006      


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 -14.585 0.000 0.000
y 0.000 -14.585 0.000
z 0.000 0.000 -16.576
Traceless
 xyz
x 0.996 0.000 0.000
y 0.000 0.996 0.000
z 0.000 0.000 -1.991
Polar
3z2-r2-3.982
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 3.553 0.000 0.000
y 0.000 3.553 0.000
z 0.000 0.000 5.847


<r2> (average value of r2) Å2
<r2> 28.879
(<r2>)1/2 5.374