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All results from a given calculation for C2H6 (Ethane)

using model chemistry: wB97X-D/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3D 1A1g
1 2 no D3H 1A1'

Conformer 1 (D3D)

Jump to S1C2
Energy calculated at wB97X-D/aug-cc-pVTZ
 hartrees
Energy at 0K-79.833211
Energy at 298.15K-79.839126
HF Energy-79.833211
Nuclear repulsion energy42.330014
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/aug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1g 3051 2919 0.00 349.02 0.00 0.01
2 A1g 1431 1369 0.00 0.00 0.28 0.44
3 A1g 1014 970 0.00 12.29 0.18 0.30
4 A1u 305 292 0.00 0.00 0.00 0.00
5 A2u 3050 2917 58.22 0.00 0.00 0.00
6 A2u 1411 1350 1.97 0.00 0.00 0.00
7 Eg 3107 2973 0.00 119.37 0.75 0.86
7 Eg 3107 2973 0.00 119.57 0.75 0.86
8 Eg 1509 1444 0.00 8.26 0.75 0.86
8 Eg 1509 1444 0.00 8.29 0.75 0.86
9 Eg 1226 1173 0.00 0.07 0.75 0.86
9 Eg 1226 1173 0.00 0.06 0.75 0.86
10 Eu 3131 2995 61.04 0.00 0.00 0.00
10 Eu 3131 2995 61.19 0.00 0.00 0.00
11 Eu 1509 1444 10.18 0.00 0.00 0.00
11 Eu 1509 1444 10.19 0.00 0.00 0.00
12 Eu 832 796 3.99 0.00 0.00 0.00
12 Eu 832 795 3.99 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 16445.4 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 15731.7 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 wB97X-D/aug-cc-pVTZ
ABC
2.70039 0.67060 0.67060

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/aug-cc-pVTZ

Point Group is D3d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.762
C2 0.000 0.000 -0.762
H3 0.000 1.016 1.157
H4 -0.880 -0.508 1.157
H5 0.880 -0.508 1.157
H6 0.000 -1.016 -1.157
H7 -0.880 0.508 -1.157
H8 0.880 0.508 -1.157

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.52331.09031.09031.09032.17112.17112.1711
C21.52332.17112.17112.17111.09031.09031.0903
H31.09032.17111.75991.75993.07962.52732.5273
H41.09032.17111.75991.75992.52732.52733.0796
H51.09032.17111.75991.75992.52733.07962.5273
H62.17111.09033.07962.52732.52731.75991.7599
H72.17111.09032.52732.52733.07961.75991.7599
H82.17111.09032.52733.07962.52731.75991.7599

picture of Ethane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.263 C1 C2 H7 111.263
C1 C2 H8 111.263 C2 C1 H3 111.263
C2 C1 H4 111.263 C2 C1 H5 111.263
H3 C1 H4 107.622 H3 C1 H5 107.622
H4 C1 H5 107.622 H6 C2 H7 107.622
H6 C2 H8 107.622 H7 C2 H8 107.622
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.771      
2 C -0.771      
3 H 0.257      
4 H 0.257      
5 H 0.257      
6 H 0.257      
7 H 0.257      
8 H 0.257      


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 -14.801 0.000 0.000
y 0.000 -14.801 0.000
z 0.000 0.000 -15.517
Traceless
 xyz
x 0.358 0.000 0.000
y 0.000 0.358 0.000
z 0.000 0.000 -0.717
Polar
3z2-r2-1.434
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 4.053 0.000 0.000
y 0.000 4.053 0.000
z 0.000 0.000 4.610


<r2> (average value of r2) Å2
<r2> 30.581
(<r2>)1/2 5.530

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at wB97X-D/aug-cc-pVTZ
 hartrees
Energy at 0K-79.829046
Energy at 298.15K 
HF Energy-79.829046
Nuclear repulsion energy42.159075
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/aug-cc-pVTZ
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' 3071 2938 0.00      
2 A1' 1453 1390 0.00      
3 A1' 1011 967 0.00      
4 A1" 288i 276i 0.00      
5 A2" 3063 2930 60.73      
6 A2" 1413 1352 1.25      
7 E' 3144 3007 52.53      
7 E' 3144 3007 52.75      
8 E' 1521 1455 11.85      
8 E' 1521 1455 11.82      
9 E' 913 874 2.99      
9 E' 913 874 2.96      
10 E" 3122 2986 0.00      
10 E" 3122 2986 0.00      
11 E" 1510 1445 0.00      
11 E" 1510 1445 0.00      
12 E" 1181 1130 0.00      
12 E" 1181 1130 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 16252.6 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 15547.2 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 wB97X-D/aug-cc-pVTZ
ABC
2.72259 0.65910 0.65910

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/aug-cc-pVTZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.769
C2 0.000 0.000 -0.769
H3 0.000 1.012 1.171
H4 -0.877 -0.506 1.171
H5 0.877 -0.506 1.171
H6 0.000 1.012 -1.171
H7 0.877 -0.506 -1.171
H8 -0.877 -0.506 -1.171

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.53751.08921.08921.08922.18772.18772.1877
C21.53752.18772.18772.18771.08921.08921.0892
H31.08922.18771.75341.75342.34132.92502.9250
H41.08922.18771.75341.75342.92502.92502.3413
H51.08922.18771.75341.75342.92502.34132.9250
H62.18771.08922.34132.92502.92501.75341.7534
H72.18771.08922.92502.92502.34131.75341.7534
H82.18771.08922.92502.34132.92501.75341.7534

picture of Ethane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.654 C1 C2 H7 111.654
C1 C2 H8 111.654 C2 C1 H3 111.654
C2 C1 H4 111.654 C2 C1 H5 111.654
H3 C1 H4 107.203 H3 C1 H5 107.203
H4 C1 H5 107.203 H6 C2 H7 107.203
H6 C2 H8 107.203 H7 C2 H8 107.203
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.775      
2 C -0.775      
3 H 0.258      
4 H 0.258      
5 H 0.258      
6 H 0.258      
7 H 0.258      
8 H 0.258      


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 -14.791 0.000 0.000
y 0.000 -14.791 0.000
z 0.000 0.000 -15.492
Traceless
 xyz
x 0.351 0.000 0.000
y 0.000 0.351 0.000
z 0.000 0.000 -0.702
Polar
3z2-r2-1.403
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 4.023 0.000 0.000
y 0.000 4.022 0.000
z 0.000 0.000 4.633


<r2> (average value of r2) Å2
<r2> 30.856
(<r2>)1/2 5.555