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All results from a given calculation for C2H6 (Ethane)

using model chemistry: B3PW91/TZVP

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 B3PW91/TZVP
 hartrees
Energy at 0K-79.831037
Energy at 298.15K-79.836948
HF Energy-79.831037
Nuclear repulsion energy42.271100
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 B3PW91/TZVP
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 3039 2930 0.00 289.93 0.01 0.01
2 A1g 1424 1374 0.00 2.64 0.73 0.84
3 A1g 1012 976 0.00 10.79 0.25 0.40
4 A1u 310 299 0.00 0.00 0.00 0.00
5 A2u 3039 2931 59.31 0.00 0.00 0.00
6 A2u 1404 1354 2.56 0.00 0.00 0.00
7 Eg 3094 2984 0.00 141.89 0.75 0.86
7 Eg 3094 2984 0.00 141.89 0.75 0.86
8 Eg 1501 1447 0.00 26.55 0.75 0.86
8 Eg 1501 1447 0.00 26.55 0.75 0.86
9 Eg 1217 1174 0.00 0.62 0.75 0.86
9 Eg 1217 1174 0.00 0.62 0.75 0.86
10 Eu 3119 3008 63.61 0.00 0.00 0.00
10 Eu 3119 3008 63.61 0.00 0.00 0.00
11 Eu 1502 1448 12.01 0.00 0.00 0.00
11 Eu 1502 1448 12.01 0.00 0.00 0.00
12 Eu 827 797 4.75 0.00 0.00 0.00
12 Eu 827 797 4.75 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 16373.3 cm-1
Scaled (by 0.9643) Zero Point Vibrational Energy (zpe) 15788.8 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 B3PW91/TZVP
ABC
2.69296 0.66934 0.66934

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/TZVP

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
C11.52281.09291.09291.09292.17452.17452.1745
C21.52282.17452.17452.17451.09291.09291.0929
H31.09292.17451.76231.76233.08662.53412.5341
H41.09292.17451.76231.76232.53412.53413.0866
H51.09292.17451.76231.76232.53413.08662.5341
H62.17451.09293.08662.53412.53411.76231.7623
H72.17451.09292.53412.53413.08661.76231.7623
H82.17451.09292.53413.08662.53411.76231.7623

picture of Ethane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.415 C1 C2 H7 111.415
C1 C2 H8 111.415 C2 C1 H3 111.415
C2 C1 H4 111.415 C2 C1 H5 111.415
H3 C1 H4 107.460 H3 C1 H5 107.460
H4 C1 H5 107.460 H6 C2 H7 107.460
H6 C2 H8 107.460 H7 C2 H8 107.460
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.347      
2 C -0.347      
3 H 0.116      
4 H 0.116      
5 H 0.116      
6 H 0.116      
7 H 0.116      
8 H 0.116      


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 -14.842 0.000 0.000
y 0.000 -14.842 0.000
z 0.000 0.000 -15.509
Traceless
 xyz
x 0.333 0.000 0.000
y 0.000 0.333 0.000
z 0.000 0.000 -0.667
Polar
3z2-r2-1.333
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 3.770 0.000 0.000
y 0.000 3.770 0.000
z 0.000 0.000 4.117


<r2> (average value of r2) Å2
<r2> 30.656
(<r2>)1/2 5.537

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3PW91/TZVP
 hartrees
Energy at 0K-79.826691
Energy at 298.15K 
HF Energy-79.826691
Nuclear repulsion energy42.111986
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 B3PW91/TZVP
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' 3054 2945 0.00      
2 A1' 1441 1390 0.00      
3 A1' 1009 973 0.00      
4 A1" 300i 290i 0.00      
5 A2" 3048 2939 63.69      
6 A2" 1402 1352 2.99      
7 E' 3126 3015 52.26      
7 E' 3126 3015 52.26      
8 E' 1508 1454 14.56      
8 E' 1508 1454 14.56      
9 E' 898 866 4.37      
9 E' 898 866 4.37      
10 E" 3104 2994 0.00      
10 E" 3104 2994 0.00      
11 E" 1498 1445 0.00      
11 E" 1498 1445 0.00      
12 E" 1167 1125 0.00      
12 E" 1167 1125 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 16128.4 cm-1
Scaled (by 0.9643) Zero Point Vibrational Energy (zpe) 15552.6 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 B3PW91/TZVP
ABC
2.71583 0.65830 0.65830

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/TZVP

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 1.175
H4 -0.877 -0.507 1.175
H5 0.877 -0.507 1.175
H6 0.000 1.013 -1.175
H7 0.877 -0.507 -1.175
H8 -0.877 -0.507 -1.175

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.53611.09181.09181.09182.19122.19122.1912
C21.53612.19122.19122.19121.09181.09181.0918
H31.09182.19121.75481.75482.34982.93282.9328
H41.09182.19121.75481.75482.93282.93282.3498
H51.09182.19121.75481.75482.93282.34982.9328
H62.19121.09182.34982.93282.93281.75481.7548
H72.19121.09182.93282.93282.34981.75481.7548
H82.19121.09182.93282.34982.93281.75481.7548

picture of Ethane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.880 C1 C2 H7 111.880
C1 C2 H8 111.880 C2 C1 H3 111.880
C2 C1 H4 111.880 C2 C1 H5 111.880
H3 C1 H4 106.959 H3 C1 H5 106.959
H4 C1 H5 106.959 H6 C2 H7 106.959
H6 C2 H8 106.959 H7 C2 H8 106.959
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.366      
2 C -0.366      
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 -14.829 0.000 0.000
y 0.000 -14.829 0.000
z 0.000 0.000 -15.492
Traceless
 xyz
x 0.332 0.000 0.000
y 0.000 0.332 0.000
z 0.000 0.000 -0.664
Polar
3z2-r2-1.328
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 3.731 0.000 0.000
y 0.000 3.731 0.000
z 0.000 0.000 3.930


<r2> (average value of r2) Å2
<r2> 30.920
(<r2>)1/2 5.561