CCCBDB calculation results Page

using model chemistry: mPW1PW91/3-21G*

States and conformations

State	Conformation	minimum conformation	conformer description	state description
1	2	yes	CS	¹A^'

State

Conformation

minimum conformation

conformer description

state description

yes

¹A^'

Conformer 1 (CS)

Jump to S1C2

Vibrational Frequencies calculated at mPW1PW91/3-21G*

Rotational Constants (cm^-1) from geometry optimized at mPW1PW91/3-21G*
See section I.F.4 to change rotational constant units

Geometric Data calculated at mPW1PW91/3-21G*

Electronic energy levels

Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1

Energy calculated at mPW1PW91/3-21G*

	hartrees
Energy at 0K	-621.857595
Energy at 298.15K	-621.861483
HF Energy	-621.857595
Nuclear repulsion energy	191.916725

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 mPW1PW91/3-21G*

Mode Number	Symmetry	Frequency (cm^-1)	Scaled Frequency (cm^-1)	IR Intensities (km mol^-1)
1	A'	3456	3282	30.94
2	A'	1261	1197	146.50
3	A'	1115	1058	1.42
4	A'	795	755	151.83
5	A'	510	485	98.65
6	A'	447	425	119.88
7	A'	303	288	27.27
8	A"	3454	3279	11.92
9	A"	1071	1017	43.09
10	A"	808	767	360.50
11	A"	469	446	105.39
12	A"	201	191	15.07

Unscaled Zero Point Vibrational Energy (zpe) 6944.5 cm^-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 6594.5 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 mPW1PW91/3-21G*

A	B	C
0.28254	0.25277	0.16079

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

Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C_s

Cartesians (Å)

Atom	x (Å)	y (Å)	z (Å)
S1	0.299	0.343	0.000
O2	-1.038	0.958	0.000
O3	0.299	-0.698	1.267
O4	0.299	-0.698	-1.267
H5	-0.629	-0.989	1.502
H6	-0.629	-0.989	-1.502

Atom - Atom Distances (Å)

	S1	O2	O3	O4	H5	H6
S1		1.4716	1.6400	1.6400	2.2116	2.2116
O2	1.4716		2.4769	2.4769	2.4926	2.4926
O3	1.6400	2.4769		2.5348	1.0003	2.9354
O4	1.6400	2.4769	2.5348		2.9354	1.0003
H5	2.2116	2.4926	1.0003	2.9354		3.0046
H6	2.2116	2.4926	2.9354	1.0003	3.0046

picture of Sulfurous acid state 1 conformation 2

More geometry information
Calculated Bond Angles

atom1	atom2	atom3	angle	atom1	atom2	atom3	angle
S1	O3	H5	111.472	S1	O4	H6	111.472
O2	S1	O3	105.373	O2	S1	O4	105.373
O3	S1	O4	101.216

Electronic energy levels

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)

Number	Element	Mulliken
1	S	1.023
2	O	-0.542
3	O	-0.608
4	O	-0.608
5	H	0.368
6	H	0.368

Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)

	x	y	z	Total
	-1.381	-1.613	0.000	2.124
CHELPG
AIM
ESP

Electric Quadrupole moment
Quadrupole components in D Å

Primitive
	x	y	z
x	-29.951	6.088	0.000
y	6.088	-29.059	0.000
z	0.000	0.000	-28.002

Traceless
	x	y	z
x	-1.421	6.088	0.000
y	6.088	-0.083	0.000
z	0.000	0.000	1.503

Polar
3z²-r²	3.007
x²-y²	-0.892
xy	6.088
xz	0.000
yz	0.000

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

	x	y	z
x	3.216	-0.134	0.000
y	-0.134	3.165	0.000
z	0.000	0.000	3.647

<r²> (average value of r²) Å²

<r²>	79.569
(<r²>)^1/2	8.920

	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 H2SO3 (Sulfurous acid)

using model chemistry: mPW1PW91/3-21G*

States and conformations

Conformer 1 (CS)

Conformer 2 (CS)

All results from a given calculation for H₂SO₃ (Sulfurous acid)