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All results from a given calculation for C2H6 (Ethane)

using model chemistry: PBE1PBE/6-311G**

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 PBE1PBE/6-311G**
 hartrees
Energy at 0K-79.742851
Energy at 298.15K-79.748764
HF Energy-79.742851
Nuclear repulsion energy42.265500
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/6-311G**
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 3049 2926 0.00 260.26 0.01 0.01
2 A1g 1424 1366 0.00 2.96 0.74 0.85
3 A1g 1027 985 0.00 9.55 0.27 0.42
4 A1u 312 299 0.00 0.00 0.00 0.00
5 A2u 3050 2926 58.59 0.00 0.00 0.00
6 A2u 1399 1342 2.92 0.00 0.00 0.00
7 Eg 3108 2982 0.00 145.25 0.75 0.86
7 Eg 3108 2982 0.00 145.24 0.75 0.86
8 Eg 1501 1440 0.00 24.51 0.75 0.86
8 Eg 1501 1440 0.00 24.51 0.75 0.86
9 Eg 1215 1166 0.00 0.59 0.75 0.86
9 Eg 1215 1166 0.00 0.59 0.75 0.86
10 Eu 3133 3006 64.42 0.00 0.00 0.00
10 Eu 3133 3006 64.42 0.00 0.00 0.00
11 Eu 1501 1440 11.94 0.00 0.00 0.00
11 Eu 1501 1440 11.94 0.00 0.00 0.00
12 Eu 824 791 5.52 0.00 0.00 0.00
12 Eu 824 791 5.52 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 16411.8 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 15745.5 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/6-311G**
ABC
2.68881 0.66982 0.66982

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G**

Point Group is D3d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.761
C2 0.000 0.000 -0.761
H3 0.000 1.018 1.160
H4 -0.882 -0.509 1.160
H5 0.882 -0.509 1.160
H6 0.000 -1.018 -1.160
H7 -0.882 0.509 -1.160
H8 0.882 0.509 -1.160

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.52161.09381.09381.09382.17432.17432.1743
C21.52162.17432.17432.17431.09381.09381.0938
H31.09382.17431.76361.76363.08752.53422.5342
H41.09382.17431.76361.76362.53422.53423.0875
H51.09382.17431.76361.76362.53423.08752.5342
H62.17431.09383.08752.53422.53421.76361.7636
H72.17431.09382.53422.53423.08751.76361.7636
H82.17431.09382.53423.08752.53421.76361.7636

picture of Ethane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.423 C1 C2 H7 111.423
C1 C2 H8 111.423 C2 C1 H3 111.423
C2 C1 H4 111.423 C2 C1 H5 111.423
H3 C1 H4 107.451 H3 C1 H5 107.451
H4 C1 H5 107.451 H6 C2 H7 107.451
H6 C2 H8 107.451 H7 C2 H8 107.451
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.367      
2 C -0.367      
3 H 0.122      
4 H 0.122      
5 H 0.122      
6 H 0.122      
7 H 0.122      
8 H 0.122      


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 -14.855 0.000 0.000
y 0.000 -14.855 0.000
z 0.000 0.000 -15.467
Traceless
 xyz
x 0.306 0.000 0.000
y 0.000 0.306 0.000
z 0.000 0.000 -0.612
Polar
3z2-r2-1.224
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 3.609 0.000 0.000
y 0.000 3.609 0.000
z 0.000 0.000 3.988


<r2> (average value of r2) Å2
<r2> 30.651
(<r2>)1/2 5.536

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at PBE1PBE/6-311G**
 hartrees
Energy at 0K-79.738431
Energy at 298.15K 
HF Energy-79.738431
Nuclear repulsion energy42.111181
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/6-311G**
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' 3065 2940 0.00      
2 A1' 1439 1380 0.00      
3 A1' 1025 984 0.00      
4 A1" 303i 291i 0.00      
5 A2" 3057 2933 61.35      
6 A2" 1397 1340 2.94      
7 E' 3140 3012 53.12      
7 E' 3140 3012 53.12      
8 E' 1507 1446 14.09      
8 E' 1507 1446 14.09      
9 E' 896 860 5.02      
9 E' 896 860 5.02      
10 E" 3118 2991 0.00      
10 E" 3118 2991 0.00      
11 E" 1498 1437 0.00      
11 E" 1498 1437 0.00      
12 E" 1165 1118 0.00      
12 E" 1165 1118 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 16163.5 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 15507.3 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/6-311G**
ABC
2.71187 0.65901 0.65901

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G**

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.767
C2 0.000 0.000 -0.767
H3 0.000 1.014 1.175
H4 -0.878 -0.507 1.175
H5 0.878 -0.507 1.175
H6 0.000 1.014 -1.175
H7 0.878 -0.507 -1.175
H8 -0.878 -0.507 -1.175

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.53451.09271.09271.09272.19072.19072.1907
C21.53452.19072.19072.19071.09271.09271.0927
H31.09272.19071.75611.75612.34942.93322.9332
H41.09272.19071.75611.75612.93322.93322.3494
H51.09272.19071.75611.75612.93322.34942.9332
H62.19071.09272.34942.93322.93321.75611.7561
H72.19071.09272.93322.93322.34941.75611.7561
H82.19071.09272.93322.34942.93321.75611.7561

picture of Ethane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.893 C1 C2 H7 111.893
C1 C2 H8 111.893 C2 C1 H3 111.893
C2 C1 H4 111.893 C2 C1 H5 111.893
H3 C1 H4 106.945 H3 C1 H5 106.945
H4 C1 H5 106.945 H6 C2 H7 106.945
H6 C2 H8 106.945 H7 C2 H8 106.945
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.379      
2 C -0.379      
3 H 0.126      
4 H 0.126      
5 H 0.126      
6 H 0.126      
7 H 0.126      
8 H 0.126      


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 -14.847 0.000 0.000
y 0.000 -14.847 0.000
z 0.000 0.000 -15.444
Traceless
 xyz
x 0.299 0.000 0.000
y 0.000 0.299 0.000
z 0.000 0.000 -0.597
Polar
3z2-r2-1.194
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 3.544 0.000 0.000
y 0.000 3.544 0.000
z 0.000 0.000 3.905


<r2> (average value of r2) Å2
<r2> 30.909
(<r2>)1/2 5.560