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All results from a given calculation for C2H6 (Ethane)

using model chemistry: mPW1PW91/6-311G**

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 mPW1PW91/6-311G**
 hartrees
Energy at 0K-79.830485
Energy at 298.15K-79.836401
HF Energy-79.830485
Nuclear repulsion energy42.288591
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 mPW1PW91/6-311G**
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 3053 2921 0.00 257.70 0.01 0.01
2 A1g 1429 1367 0.00 2.83 0.74 0.85
3 A1g 1024 979 0.00 9.70 0.26 0.42
4 A1u 312 298 0.00 0.00 0.00 0.00
5 A2u 3053 2921 60.41 0.00 0.01 0.00
6 A2u 1405 1344 2.54 0.00 0.00 0.00
7 Eg 3110 2976 0.00 143.65 0.75 0.86
7 Eg 3110 2976 0.00 143.66 0.75 0.86
8 Eg 1507 1442 0.00 24.40 0.75 0.86
8 Eg 1507 1442 0.00 24.40 0.75 0.86
9 Eg 1220 1167 0.00 0.66 0.75 0.86
9 Eg 1220 1167 0.00 0.66 0.75 0.86
10 Eu 3135 3000 67.57 0.00 0.00 0.00
10 Eu 3135 3000 67.57 0.00 0.00 0.00
11 Eu 1507 1442 11.51 0.00 0.00 0.00
11 Eu 1507 1442 11.51 0.00 0.00 0.00
12 Eu 827 792 5.34 0.00 0.00 0.00
12 Eu 827 792 5.34 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 16445.0 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 15732.9 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 mPW1PW91/6-311G**
ABC
2.69481 0.66994 0.66994

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

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 1.017 1.160
H4 -0.881 -0.509 1.160
H5 0.881 -0.509 1.160
H6 0.000 -1.017 -1.160
H7 -0.881 0.509 -1.160
H8 0.881 0.509 -1.160

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.52211.09251.09251.09252.17352.17352.1735
C21.52212.17352.17352.17351.09251.09251.0925
H31.09252.17351.76171.76173.08522.53282.5328
H41.09252.17351.76171.76172.53282.53283.0852
H51.09252.17351.76171.76172.53283.08522.5328
H62.17351.09253.08522.53282.53281.76171.7617
H72.17351.09252.53282.53283.08521.76171.7617
H82.17351.09252.53283.08522.53281.76171.7617

picture of Ethane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.407 C1 C2 H7 111.407
C1 C2 H8 111.407 C2 C1 H3 111.407
C2 C1 H4 111.407 C2 C1 H5 111.407
H3 C1 H4 107.468 H3 C1 H5 107.468
H4 C1 H5 107.468 H6 C2 H7 107.468
H6 C2 H8 107.468 H7 C2 H8 107.468
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.360      
2 C -0.360      
3 H 0.120      
4 H 0.120      
5 H 0.120      
6 H 0.120      
7 H 0.120      
8 H 0.120      


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 -14.809 0.000 0.000
y 0.000 -14.809 0.000
z 0.000 0.000 -15.422
Traceless
 xyz
x 0.306 0.000 0.000
y 0.000 0.306 0.000
z 0.000 0.000 -0.613
Polar
3z2-r2-1.226
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 3.590 0.000 0.000
y 0.000 3.590 0.000
z 0.000 0.000 3.971


<r2> (average value of r2) Å2
<r2> 30.606
(<r2>)1/2 5.532

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-79.826077
Energy at 298.15K 
HF Energy-79.826077
Nuclear repulsion energy42.132947
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 mPW1PW91/6-311G**
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' 3069 2936 0.00      
2 A1' 1444 1382 0.00      
3 A1' 1022 977 0.00      
4 A1" 303i 290i 0.00      
5 A2" 3061 2928 63.22      
6 A2" 1404 1343 2.53      
7 E' 3142 3006 56.00      
7 E' 3142 3006 56.00      
8 E' 1513 1448 13.65      
8 E' 1513 1448 13.65      
9 E' 899 860 4.85      
9 E' 899 860 4.85      
10 E" 3120 2985 0.00      
10 E" 3120 2985 0.00      
11 E" 1504 1439 0.00      
11 E" 1504 1439 0.00      
12 E" 1170 1120 0.00      
12 E" 1170 1120 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 16197.6 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 15496.3 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 mPW1PW91/6-311G**
ABC
2.71762 0.65907 0.65907

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.768
C2 0.000 0.000 -0.768
H3 0.000 1.013 1.174
H4 -0.877 -0.506 1.174
H5 0.877 -0.506 1.174
H6 0.000 1.013 -1.174
H7 0.877 -0.506 -1.174
H8 -0.877 -0.506 -1.174

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.53521.09141.09141.09142.19002.19002.1900
C21.53522.19002.19002.19001.09141.09141.0914
H31.09142.19001.75431.75432.34822.93112.9311
H41.09142.19001.75431.75432.93112.93112.3482
H51.09142.19001.75431.75432.93112.34822.9311
H62.19001.09142.34822.93112.93111.75431.7543
H72.19001.09142.93112.93112.34821.75431.7543
H82.19001.09142.93112.34822.93111.75431.7543

picture of Ethane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.870 C1 C2 H7 111.870
C1 C2 H8 111.870 C2 C1 H3 111.870
C2 C1 H4 111.870 C2 C1 H5 111.870
H3 C1 H4 106.970 H3 C1 H5 106.970
H4 C1 H5 106.970 H6 C2 H7 106.970
H6 C2 H8 106.970 H7 C2 H8 106.970
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.372      
2 C -0.372      
3 H 0.124      
4 H 0.124      
5 H 0.124      
6 H 0.124      
7 H 0.124      
8 H 0.124      


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 -14.800 0.000 0.000
y 0.000 -14.800 0.000
z 0.000 0.000 -15.401
Traceless
 xyz
x 0.300 0.000 0.000
y 0.000 0.300 0.000
z 0.000 0.000 -0.601
Polar
3z2-r2-1.201
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 3.527 0.000 0.000
y 0.000 3.527 0.000
z 0.000 0.000 3.889


<r2> (average value of r2) Å2
<r2> 30.865
(<r2>)1/2 5.556