CCCBDB calculation results Page

State	Conformation	minimum conformation	conformer description	state description
1	1	yes	D3D	¹A_1g
1	2	no	D3H	¹A₁^'

Conformer 1 (D3D)

Jump to S1C2

Energy calculated at LSDA/6-31+G**

	hartrees
Energy at 0K	-79.388810
Energy at 298.15K	-79.394672
HF Energy	-79.388810
Nuclear repulsion energy	42.165504

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 LSDA/6-31+G**

Mode Number	Symmetry	Frequency (cm^-1)	Scaled Frequency (cm^-1)	IR Intensities (km mol^-1)
1	A_1g	2981	2937	0.00
2	A_1g	1369	1349	0.00
3	A_1g	1032	1016	0.00
4	A_1u	313	308	0.00
5	A_2u	2984	2939	55.37
6	A_2u	1337	1317	7.42
7	E_g	3052	3006	0.00
7	E_g	3052	3006	0.00
8	E_g	1441	1419	0.00
8	E_g	1441	1419	0.00
9	E_g	1163	1145	0.00
9	E_g	1163	1145	0.00
10	E_u	3074	3028	40.50
10	E_u	3074	3028	40.50
11	E_u	1439	1418	19.50
11	E_u	1439	1418	19.50
12	E_u	793	781	8.44
12	E_u	793	781	8.44

Unscaled Zero Point Vibrational Energy (zpe) 15970.4 cm^-1
Scaled (by 0.985) Zero Point Vibrational Energy (zpe) 15730.8 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 LSDA/6-31+G**

A	B	C
2.65138	0.67200	0.67200

See section I.F.4 to change rotational constant units

Geometric Data calculated at LSDA/6-31+G**

Point Group is D_3d

Cartesians (Å)

Atom	x (Å)	y (Å)	z (Å)
C1	0.000	0.000	0.756
C2	0.000	0.000	-0.756
H3	0.000	1.025	1.163
H4	-0.888	-0.513	1.163
H5	0.888	-0.513	1.163
H6	0.000	-1.025	-1.163
H7	-0.888	0.513	-1.163
H8	0.888	0.513	-1.163

Atom - Atom Distances (Å)

	C1	C2	H3	H4	H5	H6	H7	H8
C1		1.5123	1.1033	1.1033	1.1033	2.1763	2.1763	2.1763
C2	1.5123		2.1763	2.1763	2.1763	1.1033	1.1033	1.1033
H3	1.1033	2.1763		1.7760	1.7760	3.1016	2.5427	2.5427
H4	1.1033	2.1763	1.7760		1.7760	2.5427	2.5427	3.1016
H5	1.1033	2.1763	1.7760	1.7760		2.5427	3.1016	2.5427
H6	2.1763	1.1033	3.1016	2.5427	2.5427		1.7760	1.7760
H7	2.1763	1.1033	2.5427	2.5427	3.1016	1.7760		1.7760
H8	2.1763	1.1033	2.5427	3.1016	2.5427	1.7760	1.7760

picture of Ethane state 1 conformation 1

More geometry information
Calculated Bond Angles

atom1	atom2	atom3	angle	atom1	atom2	atom3	angle
C1	C2	H6	111.660	C1	C2	H7	111.660
C1	C2	H8	111.660	C2	C1	H3	111.660
C2	C1	H4	111.660	C2	C1	H5	111.660
H3	C1	H4	107.196	H3	C1	H5	107.196
H4	C1	H5	107.196	H6	C2	H7	107.196
H6	C2	H8	107.196	H7	C2	H8	107.196

Electronic energy levels

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31+G** Charges (e)

Number	Element	Mulliken
1	C	-0.556
2	C	-0.556
3	H	0.185
4	H	0.185
5	H	0.185
6	H	0.185
7	H	0.185
8	H	0.185

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
	x	y	z
x	-15.108	0.000	0.000
y	0.000	-15.108	0.000
z	0.000	0.000	-15.732

Traceless
	x	y	z
x	0.312	0.000	0.000
y	0.000	0.312	0.000
z	0.000	0.000	-0.625

Polar
3z²-r²	-1.249
x²-y²	0.000
xy	0.000
xz	0.000
yz	0.000

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	4.181

<r²> (average value of r²) Å²

<r²>	30.857
(<r²>)^1/2	5.555

Conformer 2 (D3H)

Jump to S1C1

Energy calculated at LSDA/6-31+G**

	hartrees
Energy at 0K	-79.384312
Energy at 298.15K
HF Energy	-79.384312
Nuclear repulsion energy	42.009690

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 LSDA/6-31+G**

Mode Number	Symmetry	Frequency (cm^-1)	Scaled Frequency (cm^-1)	IR Intensities (km mol^-1)
1	A₁'	2998	2953	0.00
2	A₁'	1388	1368	0.00
3	A₁'	1032	1016	0.00
4	A₁"	304i	300i	0.00
5	A₂"	2992	2947	58.76
6	A₂"	1337	1317	7.87
7	E'	3081	3035	31.13
7	E'	3081	3035	31.12
8	E'	1448	1426	22.18
8	E'	1448	1426	22.18
9	E'	871	858	7.91
9	E'	871	858	7.91
10	E"	3062	3016	0.00
10	E"	3062	3016	0.00
11	E"	1438	1416	0.00
11	E"	1438	1416	0.00
12	E"	1110	1093	0.00
12	E"	1110	1093	0.00

Unscaled Zero Point Vibrational Energy (zpe) 15731.2 cm^-1
Scaled (by 0.985) Zero Point Vibrational Energy (zpe) 15495.2 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 LSDA/6-31+G**

A	B	C
2.67746	0.66090	0.66090

See section I.F.4 to change rotational constant units

Geometric Data calculated at LSDA/6-31+G**

Point Group is D_3h

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	1.020	1.179
H4	-0.884	-0.510	1.179
H5	0.884	-0.510	1.179
H6	0.000	1.020	-1.179
H7	0.884	-0.510	-1.179
H8	-0.884	-0.510	-1.179

Atom - Atom Distances (Å)

	C1	C2	H3	H4	H5	H6	H7	H8
C1		1.5249	1.1022	1.1022	1.1022	2.1934	2.1934	2.1934
C2	1.5249		2.1934	2.1934	2.1934	1.1022	1.1022	1.1022
H3	1.1022	2.1934		1.7674	1.7674	2.3582	2.9470	2.9470
H4	1.1022	2.1934	1.7674		1.7674	2.9470	2.9470	2.3582
H5	1.1022	2.1934	1.7674	1.7674		2.9470	2.3582	2.9470
H6	2.1934	1.1022	2.3582	2.9470	2.9470		1.7674	1.7674
H7	2.1934	1.1022	2.9470	2.9470	2.3582	1.7674		1.7674
H8	2.1934	1.1022	2.9470	2.3582	2.9470	1.7674	1.7674

picture of Ethane state 1 conformation 2

More geometry information
Calculated Bond Angles

atom1	atom2	atom3	angle	atom1	atom2	atom3	angle
C1	C2	H6	112.210	C1	C2	H7	112.210
C1	C2	H8	112.210	C2	C1	H3	112.210
C2	C1	H4	112.210	C2	C1	H5	112.210
H3	C1	H4	106.599	H3	C1	H5	106.599
H4	C1	H5	106.599	H6	C2	H7	106.599
H6	C2	H8	106.599	H7	C2	H8	106.599

Electronic energy levels

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31+G** Charges (e)

Number	Element	Mulliken
1	C	-0.562
2	C	-0.562
3	H	0.187
4	H	0.187
5	H	0.187
6	H	0.187
7	H	0.187
8	H	0.187

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
	x	y	z
x	-15.108	0.000	0.000
y	0.000	-15.108	0.000
z	0.000	0.000	-15.690

Traceless
	x	y	z
x	0.291	0.000	0.000
y	0.000	0.291	0.000
z	0.000	0.000	-0.582

Polar
3z²-r²	-1.164
x²-y²	0.000
xy	0.000
xz	0.000
yz	0.000

Polarizabilities
Components of the polarizability tensor.
Units are Å³ (Angstrom cubed)
Change units.

	x	y	z
x	3.712	0.000	0.000
y	0.000	3.712	0.000
z	0.000	0.000	4.067

<r²> (average value of r²) Å²

<r²>	31.122
(<r²>)^1/2	5.579

All results from a given calculation for C₂H₆ (Ethane)

using model chemistry: LSDA/6-31+G**

States and conformations

Conformer 1 (D3D)

Conformer 2 (D3H)

	Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
	Home All data for one species Geometry Experimental Experimental Geometries Same bond/angle many molecules Internal Coordinates by type Bond angles Calculated Calculated geometry Rotational constant Moments of inertia Products of moments of inertia BSE Bond lengths Show me a calculated geometry Comparisons Bonds, angles Rotational Constants Products of moments of inertia Point group Bad Calculations Bad moment of inertia Tutorials and Explanations Angle formulas Vibrations Experimental Vibrational frequencies Calculated Frequencies Scale factors Reactions Entropies Ions List Ions Energy Calculated Ionization Energy Compare Ionzation energy Electron Affinity Calculated Electron affinity Compare Electron affinity Proton Affinity Calculated Proton affinity Compare Proton affinity Ionization changes point group Experimental One molecule all properties One property a few molecules Enthalpy of formation Entropy Integrated Heat Capacity Heat Capacity Rotational Constants Vibrational Frequencies Dipole moment Ionization Energy Polarizability Quadrupole Point Groups Geometry Experimental Geometries Internal Coordinates by type Bond angles Rotational Constants Point Groups Diatomic bond lengths Vibrations Vibrational frequencies Diatomic Triatomics Energy Atomization Energy Internal Rotation Electrostatics Dipole Quadrupole Polarizability Reference Data Reference states Spin Splittings Molecules with good enthalpy Enthalpy at 0 Kelvin Calculated Energy Optimized Energy Energy 298K Minimum conformation Hydrogen bonds H bond with counterpoise Reaction Reaction Energy 0K Reaction Energy 298K Internal Rotation Barriers to internal rotation Rotational barrier and dipole Rotational Barrier 2 molecules Orbital HOMO LUMO gap HOMO Orbital Energies Nuclear repulsion energy Correlation Full vs Frozen core energies Partial correlation energies Ion Calculated Ionization Energy Vertical ionization Energy Calculated Electron affinity Calculated Proton affinity Atom charge differences Excited State Singlet triplet gap Electronic state Transition state Basis Set Extrapolation BSE energy BSE Bond lengths Geometry Calculated geometry AIM bond orders One type of bond Rotation Rotational constant Products of moments of inertia Moments of inertia Inertial defects Second moments Point group State symmetry <r2> Sorted by r2 Z-matrix Bad Calculations Bad moment of inertia Bad Calculated Bond Lengths Bad point group Worst molecules Vibrations Frequencies Animated vibrations Anharmonic Zero point energy (ZPE) Scale Factors Scale factors Scale factor uncertainty Calculate a scale factor Why scale vibrations Set scaling factors Bad Calculations Bad Vib. HF vs MP2 Bad vib. Calc. vs exp. Big anharmonicity Electrostatics Charges Mulliken CHELP Aim ESP Dipole Dipole Dipole angle Dipole calculation types Quadrupole Polarizability Spin Spin density Entropy and Heat Capacity Entropy Reaction entropy Heat Capacity Reaction Reaction Energy 0K Reaction Energy 298K Isodesmic reactions Transition State Transition state Transition state frequencies Transition state geometries IRC Lookup by property By frequency Comparisons Geometry Bonds, angles Bond, angle, or dihedral DFT grid size on point group DFT grid on bond length Core correlation - bond length Same bond/angle many molecules Isoelectronic diatomics Isoelectronic triatomic angles Average bond lengths Rotation Rotational Constants Products of moments of inertia Point group Vibrations Vibrations 2 calculations Frequency differences One frequency Zero point energy Intensity Intensity for one mode Vibrational intensities Reduced mass comparison Anharmonic Triatomic Scale factors Energy Reaction Reaction Energy 0K Reaction Energy 298K Atomization 0K Atomization 298K Single point vs optimized DFT grid size on energy Semiempirical enthalpy Internal rotation Similar molecules Conformation Sets of isomers Sets of tautomers Isomers Entropy Entropy Heat capacity Entropy of several molecules Integrated heat capacity Reaction entropy Electrostatics Dipole Polarizability Several molecules Quadrupole Ion Compare Ionzation energy Koopman ionization energy Koopman IE for a few molecules Compare Electron affinity Compare Proton affinity Protonation Site Resources Info on Results Calculations Done Method and basis set List molecules One molecule Multiple conformers, states Multiple conformers, states Basis functions used I/O files Input/output files MOL file Z-matrix wfn files Glossary Conversion Forms B to I, I to B Angle formulas Integrated heat Capacity Calculating Enthalpy Links NIST Links NIST webbook bibliographic data CCCBDB Experimental data External links Basis Set Exchange Computational Chemistry List Thermochemistry in Gaussian Minnesota Database Collection Benchmark Energy and Geometry Point Groups Thermochemistry Thermochemistry Molecules with good enthalpy A → B + C Reference states Tutorials Vibrations Why scale vibrations Zero-point energies Entropy Methyl rotor entropy Entropy and conformations Energy Getting enthalpy of formation Vertical vs adiabatic IE Thermo from calculations Electrostatics Dipole parts by point group Quadrupoles Geometry Angle formulas Cost Cost Comparison Timings Comparison Bad Calculations Geometry Bad moment of inertia Bad Calculated Bond Lengths Bad point group Worst molecules Vibrations Bad vib. Calc. vs exp. Bad Vib. HF vs MP2 Bad scale factors Low excited states Oddities NaCN Is not linear FAQ Help Units Choose Units Energy Bond length Rotational Constant Moment of Inertia Dipole and Quadrupole Polarizability Explanations Hartree cm-1 Debye Credits Just show me Show me a calculated geometry Summary Using older interface Limit Basis sets Method options List Recent molecules Choose a few Molecules Number of atoms By heavy atoms Diatomics InChI Deuterated Dimers Geometry Point group Point group count Bonds types Isodesmic reactions Bad point group Multiple conformers, states Vibrations Big anharmonicity Energy Enthalpy at 0 Kelvin Similar molecules Similar Isomers Cis/trans Tautomers Multiple conformers, states Ions, Dipoles, etc. List Ions Ionization changes point group Dipole Quadrupole Polarizability Proton Affinities Index of CCCBDB Feedback Error form Wants
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C2H6 (Ethane)

using model chemistry: LSDA/6-31+G**

States and conformations

Conformer 1 (D3D)

Conformer 2 (D3H)

All results from a given calculation for C₂H₆ (Ethane)