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All results from a given calculation for C2H6 (Ethane)

using model chemistry: B3LYPultrafine/cc-pVDZ

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 B3LYPultrafine/cc-pVDZ
 hartrees
Energy at 0K-79.829290
Energy at 298.15K-79.835198
HF Energy-79.829290
Nuclear repulsion energy41.976881
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 B3LYPultrafine/cc-pVDZ
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 3029 2938 0.00 264.59 0.01 0.02
2 A1g 1411 1368 0.00 4.06 0.74 0.85
3 A1g 1011 981 0.00 10.11 0.29 0.45
4 A1u 318 308 0.00 0.00 0.00 0.00
5 A2u 3026 2935 60.59 0.00 0.00 0.00
6 A2u 1387 1346 0.01 0.00 0.00 0.00
7 Eg 3083 2990 0.00 156.96 0.75 0.86
7 Eg 3083 2990 0.00 156.96 0.75 0.86
8 Eg 1474 1430 0.00 30.49 0.75 0.86
8 Eg 1474 1430 0.00 30.48 0.75 0.86
9 Eg 1205 1169 0.00 0.95 0.75 0.86
9 Eg 1205 1169 0.00 0.95 0.75 0.86
10 Eu 3107 3014 65.47 0.00 0.00 0.00
10 Eu 3107 3014 65.48 0.00 0.00 0.00
11 Eu 1477 1433 7.16 0.00 0.00 0.00
11 Eu 1477 1433 7.16 0.00 0.00 0.00
12 Eu 822 797 4.37 0.00 0.00 0.00
12 Eu 822 797 4.37 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 16258.9 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 15771.1 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 B3LYPultrafine/cc-pVDZ
ABC
2.64685 0.66186 0.66186

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pVDZ

Point Group is D3d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.765
C2 0.000 0.000 -0.765
H3 0.000 1.026 1.168
H4 -0.889 -0.513 1.168
H5 0.889 -0.513 1.168
H6 0.000 -1.026 -1.168
H7 -0.889 0.513 -1.168
H8 0.889 0.513 -1.168

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.52921.10281.10281.10282.18852.18852.1885
C21.52922.18852.18852.18851.10281.10281.1028
H31.10282.18851.77761.77763.11022.55212.5521
H41.10282.18851.77761.77762.55212.55213.1102
H51.10282.18851.77761.77762.55213.11022.5521
H62.18851.10283.11022.55212.55211.77761.7776
H72.18851.10282.55212.55213.11021.77761.7776
H82.18851.10282.55213.11022.55211.77761.7776

picture of Ethane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.474 C1 C2 H7 111.474
C1 C2 H8 111.474 C2 C1 H3 111.474
C2 C1 H4 111.474 C2 C1 H5 111.474
H3 C1 H4 107.396 H3 C1 H5 107.396
H4 C1 H5 107.396 H6 C2 H7 107.396
H6 C2 H8 107.396 H7 C2 H8 107.396
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.062      
2 C -0.062      
3 H 0.021      
4 H 0.021      
5 H 0.021      
6 H 0.021      
7 H 0.021      
8 H 0.021      


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 -14.863 0.000 0.000
y 0.000 -14.863 0.000
z 0.000 0.000 -15.428
Traceless
 xyz
x 0.283 0.000 0.000
y 0.000 0.283 0.000
z 0.000 0.000 -0.565
Polar
3z2-r2-1.130
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 3.541 0.000 0.000
y 0.000 3.541 0.000
z 0.000 0.000 3.917


<r2> (average value of r2) Å2
<r2> 30.926
(<r2>)1/2 5.561

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3LYPultrafine/cc-pVDZ
 hartrees
Energy at 0K-79.824622
Energy at 298.15K 
HF Energy-79.824622
Nuclear repulsion energy41.810795
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 B3LYPultrafine/cc-pVDZ
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' 3043 2951 0.00      
2 A1' 1420 1377 0.00      
3 A1' 1006 976 0.00      
4 A1" 309i 300i 0.00      
5 A2" 3034 2943 63.00      
6 A2" 1383 1341 0.05      
7 E' 3113 3020 52.79      
7 E' 3113 3020 52.79      
8 E' 1478 1434 9.22      
8 E' 1478 1434 9.22      
9 E' 883 857 3.69      
9 E' 883 857 3.69      
10 E" 3092 2999 0.00      
10 E" 3092 2999 0.00      
11 E" 1473 1429 0.00      
11 E" 1473 1429 0.00      
12 E" 1157 1122 0.00      
12 E" 1157 1122 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 15984.0 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 15504.5 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 B3LYPultrafine/cc-pVDZ
ABC
2.66921 0.65053 0.65053

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pVDZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.772
C2 0.000 0.000 -0.772
H3 0.000 1.022 1.183
H4 -0.885 -0.511 1.183
H5 0.885 -0.511 1.183
H6 0.000 1.022 -1.183
H7 0.885 -0.511 -1.183
H8 -0.885 -0.511 -1.183

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.54331.10171.10171.10172.20582.20582.2058
C21.54332.20582.20582.20581.10171.10171.1017
H31.10172.20581.77011.77012.36642.95512.9551
H41.10172.20581.77011.77012.95512.95512.3664
H51.10172.20581.77011.77012.95512.36642.9551
H62.20581.10172.36642.95512.95511.77011.7701
H72.20581.10172.95512.95512.36641.77011.7701
H82.20581.10172.95512.36642.95511.77011.7701

picture of Ethane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.934 C1 C2 H7 111.934
C1 C2 H8 111.934 C2 C1 H3 111.934
C2 C1 H4 111.934 C2 C1 H5 111.934
H3 C1 H4 106.900 H3 C1 H5 106.900
H4 C1 H5 106.900 H6 C2 H7 106.900
H6 C2 H8 106.900 H7 C2 H8 106.900
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.064      
2 C -0.064      
3 H 0.021      
4 H 0.021      
5 H 0.021      
6 H 0.021      
7 H 0.021      
8 H 0.021      


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 -14.848 0.000 0.000
y 0.000 -14.848 0.000
z 0.000 0.000 -15.426
Traceless
 xyz
x 0.289 0.000 0.000
y 0.000 0.289 0.000
z 0.000 0.000 -0.578
Polar
3z2-r2-1.157
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 3.467 0.000 0.000
y 0.000 3.467 0.000
z 0.000 0.000 3.870


<r2> (average value of r2) Å2
<r2> 31.206
(<r2>)1/2 5.586