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Comparative Study of Three Comparative Study of Three Methods of Calculating Atomic Methods of Calculating Atomic Charge in a Molecule Charge in a Molecule Wanda Lew Wanda Lew Heather Heather Harding Harding Sharam Emami Sharam Emami Shungo Miyabe Shungo Miyabe San Francisco State University San Francisco State University Tomekia Simeon Tomekia Simeon Jackson State University Jackson State University Source of Wisdom: Sergio Aragon Source of Wisdom: Sergio Aragon January 16, 2004 January 16, 2004

Comparative Study of Three Methods of Calculating Atomic Charge in a Molecule Wanda Lew Heather Harding Sharam Emami Shungo Miyabe San Francisco State

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  • Comparative Study of Three Methods of Calculating Atomic Charge in a MoleculeWanda Lew Heather Harding Sharam Emami Shungo MiyabeSan Francisco State University

    Tomekia SimeonJackson State University

    Source of Wisdom: Sergio Aragon

    January 16, 2004

  • Why is assigning charges to various atoms of a molecule of interest?Assigning charge to various atoms allows:

    Prediction of reactive sites in a molecule

    Charge distribution determines all molecular properties

    Andrew S. IchimuraSFSU presentation 9/26/03

  • Why isnt there just one best method that everyone uses to calculate atomic charge?No concensus on what criteria to use to judge which method is better i.e. Do we arbitrarily say that if a method is basis set independent it is better?*Or is the better method one thats able to account for anticipated changes in charge distribution after various perturbations to the molecule such as: varying dihedral angles* in a molecule

  • We Decided to Examine Three Methods for Assigning Charges to Atoms in a Molecule

    Population Analysis (R.S. Mulliken, 1955)

    Atoms in Molecule (R.W.F. Bader, 1965)

    Electrostatic Potential (Merz-Sing-Kollman)

  • What is Population Analysis?This method was proposed by R.S. Mulliken Sample Molecule: A-BTo assign charge on atom A, uses a molecular orbital function represented by a linear combination of the atomic orbitalsYMO=CAYA + CBYB N=N(CA 2 + 2CACBSAB+ CB 2 )Mulliken Charge on Atom A would be: QA=N(CA2 + CACBSAB)Weaknesses: Divides overlap term symmetricallyAtomic orbital term CA2 assigned to atom even if the charge on that atom is polarized/diffuse enough to bleed some e- density into neighboring atom

  • Electrostatic PotentialAbility to compute the degree to which a positive or negative test charge is attracted to or repelled by the molecule that is being represented by the multipole expansion.

    ESP is directly calculated from the electron density using a many electron wavefunction and point charges of the nuclei.

  • Electrostatic potential is both a molecular property and a spatial property.

    It depends on what charges exist in the molecule and how they there are distributed.

    The electrostatic potential created by a system of charges at a particular point in space, (x, y, z), is equal to the change in potential energy that occurs when a +1 ion is introduced at this point.

    It also depends on what point (x, y, z) we choose to investigate. If we select a point where the +1 charge is attracted by the molecule, the potential will be negative at this point.

    On the other hand, if we select a point where the +1 charge is repelled, the potential will be positive.

  • AIM Let (r) be the electron density

    Gradient of (r) is a vector that points in the direction of maximum increase in the density. One makes an infinitesimal step in this direction and then recalculates the gradient to obtain the new direction. By continued repetition of this process, one traces out a trajectory of (r).

  • AIM (cont.)

    A gradient vector map generated for ethene:

    Since the density exhibits a maximum at the position of each nucleus, sets of trajectories terminate at each nucleus. The nuclei are the attractors of the gradient vector field of the electron density.

  • AIM (cont.)The molecule is disjointly and exhaustively partitioned into basins, a basin being the region of space traversed by the trajectories terminating at a given nucleus or attractor.

    An atom is defined as the union of an attractor and its basin

  • Comparison of 3 Ways to Calculate Charge on Atom in a Molecule (MUL, AIM, ESP) Using 7 Different MoleculesMolecules Studied: Urea, Proprionitrile, 1,2-difluoroethane, Glycine, Serine, Propylaldehyde, propane, propanol Calculation Methods Used: Hartree-Fock (HF) Density Functional (DFT, specifically B3LYP)Criteria used to evaluate quality of method:i. independence of basis set (STO-3g, 321g, 631g, 6311g, 6311g*, 6311g**)ii. How charge on atom changes with change in dihedral anglesAndrew S. IchimuraSFSU presentation 9/26/03

  • Basis Set Dependence of MUL, AIM and ESP HF MethodUrea12438675

    Chart1

    -0.334-0.67-0.621-0.574

    0.4251.1420.990.981

    -0.449-0.944-0.953-0.923

    -0.449-0.944-0.953-0.923

    0.1960.3420.3730.346

    0.2080.3660.3950.373

    0.1960.3420.3730.346

    0.2080.3660.3950.373

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Urea Mulliken Charge with Hartree-Fock Method at Optimal Geometry

    urea

    0Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.334-0.67-0.621-0.5741-0.286-0.457-0.422-0.528-0.508-0.419

    c20.4251.1420.990.98120.3090.6520.7030.6080.4950.254

    n3-0.449-0.944-0.953-0.9233-0.422-0.742-0.795-0.762-0.732-0.445

    n4-0.449-0.944-0.953-0.9234-0.422-0.742-0.795-0.762-0.732-0.445

    h50.1960.3420.3730.34650.1980.310.3150.350.3430.232

    h60.2080.3660.3950.37360.2130.3350.340.3710.3950.295

    h70.1960.3420.3730.34670.1980.310.3150.350.3430.232

    h80.2080.3660.3950.37380.2130.3350.340.3710.3950.295

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.103-1.065-1.146-1.1231-1.032-1.046-0.979-0.985-0.986-1.17

    c22.1121.7081.7411.73421.941.5591.4271.4281.4291.817

    n3-1.174-1.123-1.125-1.13-1.132-1.038-0.957-0.966-0.967-1.116

    n4-1.174-1.123-1.125-1.14-1.132-1.038-0.957-0.966-0.967-1.116

    h50.3250.3880.3980.38350.3260.3730.3520.3580.3580.38

    h60.3410.4110.4270.40860.3490.4040.3780.3840.3840.409

    h70.3250.3880.3980.38370.3260.3730.3520.3580.3580.38

    h80.3410.4110.4270.40880.3490.4040.3780.3840.3840.409

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.525-0.724-0.782-0.781-0.447-0.656-0.676-0.721-0.721-0.667

    c20.9361.2391.3331.31420.7651.0671.111.2491.2511.118

    n3-0.867-1.155-1.228-1.2153-0.821-1.075-1.1-1.207-1.208-1.11

    n4-0.867-1.155-1.228-1.2154-0.821-1.075-1.1-1.207-1.208-1.11

    h50.3370.4550.4820.4850.3350.4390.4510.4780.4780.449

    h60.3250.4420.470.46960.3270.430.440.4640.4650.435

    h70.3370.4550.4820.4870.3350.4390.4510.4780.4780.449

    h80.3250.4420.470.46980.3270.430.440.4640.4650.435

    45Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.301-0.632-0.58-0.537-0.263-0.425-0.392-0.445-0.431-0.374

    c20.3971.0360.8680.8740.2960.5440.5890.3260.2180.108

    n3-0.435-0.894-0.886-0.854-0.415-0.69-0.728-0.594-0.56-0.352

    n4-0.42-0.853-0.837-0.821-0.408-0.659-0.706-0.588-0.55-0.329

    h50.190.3330.3570.3290.1960.3030.3030.3140.3160.221

    h60.20.3540.3790.3550.2080.3250.3270.3420.3520.263

    h70.1770.3130.3340.310.1850.2850.2870.3010.30.204

    h80.1920.3430.3640.3450.2010.3160.3210.3430.3550.259

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.071-1.045-1.127-1.107-1.012-1.027-0.963-0.968-0.969-1.156

    c22.0031.6111.6241.6261.8491.4611.3481.3511.351.732

    n3-1.105-1.06-1.041-1.03-1.075-0.97-0.904-0.912-0.913-1.063

    n4-1.028-0.99-0.954-0.956-1.006-0.899-0.849-0.855-0.859-1.008

    h50.3040.370.3740.3650.3120.3550.3380.3430.3440.368

    h60.3190.3930.4030.390.3320.3850.3630.3680.3690.394

    h70.2740.3410.3380.3360.2840.3240.3130.3180.3180.345

    h80.2970.3740.3780.370.310.3640.3470.3520.3530.382

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.516-0.698-0.751-0.729-0.442-0.633-0.631-0.651-0.652-0.592

    c21.0381.2571.341.2490.8451.0911.0581.1061.1060.936

    n3-0.975-1.225-1.308-1.244-0.898-1.16-1.141-1.182-1.182-1.029

    n4-0.92-1.13-1.193-1.12-0.853-1.057-1.026-1.036-1.035-0.892

    h50.3620.4720.5030.4870.3530.4620.460.470.470.422

    h60.350.4660.50.4850.3460.4610.4580.470.4710.423

    h70.3340.4260.450.4290.3270.4120.4050.4050.4040.361

    h80.3260.4320.4590.4430.3230.4240.4180.4180.4180.371

    90Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.296-0.623-0.568-0.523-0.257-0.408-0.523-0.408-0.384-0.384

    c20.390.9850.8070.8160.2920.4820.8160.2930.1450.145

    n3-0.436-0.896-0.88-0.839-0.407-0.671-0.839-0.614-0.588-0.588

    n4-0.42-0.832-0.827-0.841-0.423-0.666-0.841-0.689-0.635-0.635

    h50.2110.3620.3880.3620.2180.3310.3620.3590.3720.372

    h60.2020.3540.3810.3540.2120.3260.3540.3550.3720.372

    h70.1730.3230.3470.3310.1810.30.3310.3380.3460.346

    h80.1760.3270.3510.340.1830.3060.340.3670.3710.371

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.063-1.047-1.13-1.109-1.003-1.027-1.109-0.968-0.97-0.97

    c21.9581.5931.6121.6061.811.4511.6061.3371.3361.336

    n3-1.166-1.094-1.092-1.071-1.133-1.009-1.071-0.933-0.935-0.935

    n4-0.932-0.954-0.914-0.914-0.922-0.874-0.914-0.844-0.841-0.841

    h50.3440.4060.4180.4020.3550.3980.4020.3780.3790.379

    h60.3290.3970.4080.3940.3430.390.3940.3730.3740.374

    h70.2590.3460.3460.3410.2690.3330.3410.3250.3250.325

    h80.2660.3480.3460.3430.2740.3320.3430.3260.3260.326

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.063-0.696-0.755-0.747-0.433-0.638-0.747-0.684-0.685-0.685

    c21.9581.2051.2871.2320.8171.0481.2321.1221.1191.119

    n3-1.166-1.111-1.174-1.11-0.813-0.999-1.11-1.018-1.016-1.016

    n4-0.932-1.101-1.172-1.135-0.865-1.075-1.135-1.107-1.101-1.101

    h50.3440.4550.480.460.3470.4330.460.4350.4340.434

    h60.3290.4330.4610.4440.3260.4160.4440.4220.4220.422

    h70.2590.4190.4250.4170.3030.3980.4170.4070.4050.405

    h80.2660.3950.4470.4380.3180.4170.4380.4230.4210.421

    135degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.305-0.636-0.586-0.542-0.266-0.428-0.396-0.447-0.428-0.372

    c20.3981.0310.860.8620.2960.5370.5780.3180.1770.102

    n3-0.435-0.89-0.877-0.845-0.416-0.686-0.72-0.601-0.561-0.36

    n4-0.431-0.872-0.86-0.841-0.417-0.678-0.722-0.602-0.557-0.36

    h50.1950.3410.3650.3380.2020.3110.3110.3270.3330.237

    h60.1980.350.3750.3510.2070.3220.3230.3420.3550.262

    h70.1910.3430.3670.3450.2010.3160.3190.340.3540.259

    h80.1890.3330.3550.3330.1950.3050.3070.3240.3270.233

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.073-1.05-1.132-1.111-1.013-1.031-0.967-0.973-0.974-1.159

    c22.0131.6171.6271.6291.8591.4651.3511.3541.3531.737

    n3-1.108-1.059-1.039-1.029-1.081-0.972-0.905-0.913-0.914-1.066

    n4-1.062-1.027-0.999-0.994-1.04-0.939-0.882-0.891-0.891-1.041

    h50.3130.3790.3850.3750.3210.3660.3480.3520.3530.377

    h60.3150.3890.3990.3870.3290.3830.3610.3660.3670.393

    h70.30.3780.3840.3750.3130.370.350.3560.3570.384

    h80.2970.3670.370.3630.3060.3530.3370.3420.3430.369

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.516-0.7-0.755-0.736-0.443-0.637-0.638-0.666-0.666-0.605

    c21.0261.2371.3191.230.8321.071.0391.0981.0960.927

    n3-0.947-1.175-1.25-1.178-0.869-1.101-1.071-1.103-1.102-0.955

    n4-0.938-1.156-1.226-1.156-0.868-1.09-1.061-1.087-1.085-0.938

    h50.3580.4640.4930.4730.3490.4510.4440.450.450.403

    h60.3390.4460.4780.4610.3340.4390.4330.4420.4420.397

    h70.330.4320.4630.4460.3260.4270.4210.4280.4280.383

    h80.3490.4520.4810.4610.340.4410.4340.4380.4380.389

    Mulliken- HF6311g

    04590135

    1-0.574-0.537-0.523-0.542

    20.9810.8740.8160.862

    3-0.923-0.854-0.839-0.845

    4-0.923-0.821-0.841-0.841

    50.3460.3290.3620.338

    60.3730.3550.3540.351

    70.3460.310.3310.345

    80.3730.3450.340.333

    AIM -HF6311g

    04590135

    1-1.123-1.107-1.109-1.111

    21.7341.6261.6061.629

    3-1.1-1.03-1.071-1.029

    4-1.1-0.956-0.914-0.994

    50.3830.3650.4020.375

    60.4080.390.3940.387

    70.3830.3360.3410.375

    80.4080.370.3430.363

    esp -HF6311g

    04590135

    1-0.78-0.729-0.747-0.736

    21.3141.2491.2321.23

    3-1.215-1.244-1.11-1.178

    4-1.215-1.12-1.135-1.156

    50.480.4870.460.473

    60.4690.4850.4440.461

    70.480.4290.4170.446

    80.4690.4430.4380.461

    Mulliken- blyp6311g

    04590135

    1-0.422-0.392-0.523-0.396

    20.7030.5890.8160.578

    3-0.795-0.728-0.839-0.72

    4-0.795-0.706-0.841-0.722

    50.3150.3030.3620.311

    60.340.3270.3540.323

    70.3150.2870.3310.319

    80.340.3210.340.307

    AIM -blyp6311g

    04590135

    1-0.979-0.963-1.109-0.967

    21.4271.3481.6061.351

    3-0.957-0.904-1.071-0.905

    4-0.957-0.849-0.914-0.882

    50.3520.3380.4020.348

    60.3780.3630.3940.361

    70.3520.3130.3410.35

    80.3780.3470.3430.337

    esp -blyp6311g

    04590135

    1-0.676-0.631-0.747-0.638

    21.111.0581.2321.039

    3-1.1-1.141-1.11-1.071

    4-1.1-1.026-1.135-1.061

    50.4510.460.460.444

    60.440.4580.4440.433

    70.4510.4050.4170.421

    80.440.4180.4380.434

    urea

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea Mulliken Charge with Varying Dihedral via HF6311g

    ethyl formate

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Urea AIM Charge (HF 6311g) with Varied Dihedral Angle

    CN

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea ESP Charge (HF6311g) with Varied Dihedral Angle

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea Mulliken (BLYP6311g) with Varied Dihedral Angles

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea AIM Charges (BLYP6311g) with Varied Dihedral Angles

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea ESP Charge (BLYP6311g) with Varied Dihedral Angles

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Urea Mulliken Charge with Hartree-Fock Method at Optimal Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Urea AIM Charge with Hartree-Fock Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Urea AIM Charge with DFT Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Urea Mulliken Charge with DFT Method at Optimal Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Urea ESP Charge with Hartree-Fock Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Urea Electrostatic Potential Charge with DFT Method at Optimal Geometry

    0Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    c10.2640.6480.5860.5310.1640.3610.3090.2450.2350.143

    o2-0.265-0.589-0.536-0.4992-0.233-0.388-0.365-0.379-0.368-0.304

    o3-0.267-0.692-0.699-0.6153-0.191-0.472-0.43-0.204-0.167-0.1

    h40.0720.2330.2060.18240.0780.1520.170.1970.2060.134

    c50.016-0.1030.009-0.0195-0.043-0.034-0.125-0.261-0.35-0.209

    c6-0.183-0.613-0.458-0.4986-0.234-0.411-0.523-0.784-0.836-0.485

    h70.0740.2260.1780.18670.0910.1580.1930.2370.2530.158

    h80.070.2060.1590.17180.0880.1430.1810.2250.2170.141

    h90.0730.2290.1890.18890.0940.1670.1990.2430.2790.183

    h100.0730.2290.1890.188100.0940.1670.1990.2430.2790.183

    h110.0740.2260.1780.186110.0910.1580.1930.2370.2530.158

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    c11.61.4131.5031.46211.451.3041.211.2151.2151.55

    o2-1.048-1.037-1.111-1.0842-0.997-1.003-0.938-0.949-0.949-1.136

    o3-1.043-1.052-1.064-1.0743-0.944-0.902-0.887-0.889-0.889-1.051

    h4-0.0320.0810.0770.0984-0.010.0790.0950.0990.0990.062

    c50.5470.4350.4820.44850.4510.3750.3450.3390.340.435

    c60.2460.0450.1090.04860.1530.04-0.019-0.019-0.0190.055

    h7-0.0530.02-0.0050.0157-0.0230.0140.0320.0340.0340.007

    h8-0.0580.005-0.0180.0028-0.0250.0070.0240.0260.0260.001

    h9-0.0590.030.010.039-0.0210.0310.0480.0510.0510.03

    h10-0.0590.030.010.0310-0.0210.0310.0480.0510.050.03

    h11-0.0530.02-0.0050.01511-0.0230.0140.0320.0340.0330.007

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    c10.6720.880.9910.99310.510.8130.8340.8960.8950.731

    o2-0.438-0.629-0.697-0.6972-0.378-0.584-0.598-0.634-0.634-0.57

    o3-0.42-0.609-0.689-0.6823-0.324-0.566-0.582-0.615-0.614-0.504

    h4-0.066-0.024-0.034-0.0364-0.045-0.04-0.037-0.049-0.049-0.015

    c50.2530.3880.4390.44250.2140.3780.4040.4250.4230.382

    c6-0.437-0.529-0.472-0.4496-0.481-0.439-0.449-0.46-0.456-0.45

    h70.1310.160.1460.13970.1440.1380.1380.1420.1410.137

    h80.1060.1240.1030.09780.1230.0990.10.10.0990.103

    h90.0340.040.0340.02890.0460.0320.0260.0260.0260.025

    h100.0340.040.0330.028100.0460.0320.0260.0260.0260.025

    h110.1310.160.1460.139110.1440.1380.1380.1420.1410.137

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Ethyl Formate Mulliken Charges via Hartree-Fock Methods at Optimized Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Ethyl Formate Mulliken Charges via DFT Methods at Optimized Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Ethyl Formate AIM Charges via Hartree-Fock Methods at Optimized Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Ethyl Formate AIM Charges via DFT Methods at Optimized Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Ethyl Formate ESP Charges via Hartree-Fock Methods at Optimized Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Ethyl Formate ESP Charges via DFT Methods at Optimized Geometry

    0Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    n1-0.2-0.514-0.332-0.2111-0.201-0.262-0.112-0.213-0.203-0.305

    c20.0690.3420.1420.03420.0750.115-0.0050.2080.1650.038

    c3-0.101-0.473-0.332-0.3763-0.144-0.304-0.427-0.604-0.548-0.053

    h40.0910.2720.220.2340.110.1890.2320.2760.2740.164

    h50.0910.2720.220.2350.110.1890.2320.2760.2740.164

    c6-0.165-0.57-0.448-0.4746-0.217-0.402-0.507-0.65-0.684-0.469

    h70.0720.2270.1810.1970.090.1620.1980.2360.2320.152

    h80.0720.2270.1810.1980.090.1620.1980.2360.2320.152

    h90.070.2180.1740.18690.0880.1520.1920.2350.2570.157

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    n1-1.15-1.01-1.106-0.9981-1.122-1.023-0.838-0.857-0.857-1.124

    c20.7370.6380.7660.64220.7530.7290.5530.5650.5650.838

    c30.3260.1350.1860.16230.2260.1210.0790.080.080.104

    h4-0.0140.0630.0290.04940.0160.0440.0620.0640.0640.047

    h5-0.0140.0630.0290.04950.0160.0440.0620.0640.0640.047

    c60.2430.0240.0950.03660.1480.027-0.027-0.028-0.0280.037

    h7-0.0440.02900.0197-0.0140.0180.0360.0370.0370.017

    h8-0.0440.02900.0198-0.0140.0180.0360.0370.0370.017

    h9-0.0470.021-0.0060.0149-0.0170.0130.030.0310.0310.01

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    n1-0.417-0.472-0.513-0.5141-0.381-0.477-0.481-0.507-0.507-0.463

    c20.3550.3520.3750.36720.3060.360.3530.3750.3740.286

    c3-0.075-0.07-0.0150.0133-0.088-0.054-0.021-0.009-0.0070.061

    h40.0540.0750.0580.0540.0680.0650.0570.0530.0520.046

    h50.0540.0750.0580.0550.0680.0650.0570.0530.0520.046

    c6-0.123-0.177-0.128-0.1146-0.17-0.118-0.116-0.11-0.106-0.157

    h70.050.0730.0560.05170.0670.0550.0520.050.0490.064

    h80.050.0730.0560.05180.0670.0550.0520.050.0490.064

    h90.050.0690.0520.04690.0640.0490.0470.0460.0450.052

    15 Degrees60 Degrees105 Degrees150 Degrees195 Degrees

    MUL1-0.213-0.211-0.213-0.212-0.211

    hf6311g20.0260.0340.0250.0290.033

    3-0.371-0.376-0.372-0.373-0.375

    40.2340.230.2370.2310.232

    50.2370.230.2340.2350.23

    6-0.496-0.474-0.496-0.487-0.478

    70.2060.190.190.1870.187

    80.190.190.2060.20.189

    90.1880.1860.1880.190.194

    15 Degrees60 Degrees105 Degrees150 Degrees195 Degrees

    AIM1-0.997-0.998-0.999-0.998-0.997

    hf6311g20.6410.6420.6430.6430.641

    30.1590.1620.1580.160.161

    40.0510.0490.0490.0510.048

    50.0480.0490.0520.0470.05

    60.0290.0360.030.0320.035

    70.0280.0190.0160.0150.014

    80.0150.0190.030.0230.019

    90.0170.0140.0140.0190.021

    15 Degrees60 Degrees105 Degrees150 Degrees195 Degrees

    ESP1-0.511-0.514-0.511-0.512-0.511

    hf6311g20.3580.3670.3570.3630.36

    30.0090.0130.0090.0050.02

    40.0570.050.0580.0560.051

    50.0560.050.0570.0560.05

    6-0.141-0.114-0.15-0.134-0.131

    70.0680.0510.0550.0510.05

    80.0530.0510.070.0630.053

    90.0520.0460.0540.0530.058

    MUL15 Degrees60 Degree105 degree150 degree195 degree

    blyp6311g1-0.112-0.112-0.111-0.112-0.113

    2-0.019-0.005-0.019-0.013-0.007

    3-0.421-0.427-0.421-0.423-0.426

    40.2360.2320.2380.2330.233

    50.2380.2320.2350.2360.232

    6-0.523-0.507-0.522-0.516-0.509

    70.2110.1980.1960.1930.192

    80.1960.1980.2110.2060.197

    90.1930.1920.1940.1970.201

    AIM15 Degrees60 Degree105 degree150 degree195 degree

    blyp6311g1-0.837-0.838-0.839-0.839-0.837

    20.5510.5530.5530.5530.551

    30.0770.0790.0770.0780.079

    40.0640.0620.0620.0640.061

    50.0620.0620.0640.0610.063

    6-0.033-0.027-0.032-0.031-0.028

    70.0440.0360.0330.0310.031

    80.0310.0360.0450.0350.035

    90.0330.030.030.0390.037

    ESP15 Degrees60 Degree105 degree150 degree195 degree

    blyp6311g1-0.476-0.481-0.476-0.478-0.477

    20.3380.3530.3390.3440.342

    3-0.015-0.021-0.017-0.023-0.006

    40.0620.0570.0630.0610.056

    50.0610.0570.0630.0620.055

    6-0.156-0.116-0.163-0.146-0.137

    70.0710.0520.060.0550.052

    80.0580.0520.0740.0570.055

    90.0570.0470.0580.0660.06

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Propionitrile Mulliken Charge via Hartree-Fock Method at Optimal Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Propioniltrile AIM Charge via Hartree-Fock Method at Optimal Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Proprionitrile ESP Charge via Hartree-Fock Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Proprionitrile Mulliken Charge via DFT Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Proprionitrile AIM Charges via DFT Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Propionitrile ESP Charge via DFT Method at Optimal Geometry

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degrees

    105 Degrees

    150 Degrees

    195 Degrees

    Atom Number

    Charge

    Proprionitrile Mulliken Charges via Hartree-Fock Method at Varying Dihedral Angles

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degrees

    105 Degrees

    150 Degrees

    195 Degrees

    Atom Number

    Charge

    Propionitrile AIM Charges via Hartree-Fock Method at Varying Dihedral Angles

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degrees

    105 Degrees

    150 Degrees

    195 Degrees

    Atom Number

    Charge

    Proprionitrile ESP Charges via Hartree-Fock Method at Varying Dihedral Angles

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degree

    105 degree

    150 degree

    195 degree

    Atom Number

    Charge

    Proprionitrile Mulliken Charges via DFT Method at Varying Dihedral Angle

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degree

    105 degree

    150 degree

    195 degree

    Atom Number

    Charge

    Proprionitrile AIM Charges via DFT Methods at Varying Dihedral Angle

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degree

    105 degree

    150 degree

    195 degree

    Atom Number

    Charge

    Proprionitrile ESP Charges via DFT Method at Varying Dihedral Angle

    Chart2

    -1.103-1.065-1.146-1.123

    2.1121.7081.7411.734

    -1.174-1.123-1.125-1.1

    -1.174-1.123-1.125-1.1

    0.3250.3880.3980.383

    0.3410.4110.4270.408

    0.3250.3880.3980.383

    0.3410.4110.4270.408

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Urea AIM Charge with Hartree-Fock Method at Optimal Geometry

    urea

    0Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.334-0.67-0.621-0.5741-0.286-0.457-0.422-0.528-0.508-0.419

    c20.4251.1420.990.98120.3090.6520.7030.6080.4950.254

    n3-0.449-0.944-0.953-0.9233-0.422-0.742-0.795-0.762-0.732-0.445

    n4-0.449-0.944-0.953-0.9234-0.422-0.742-0.795-0.762-0.732-0.445

    h50.1960.3420.3730.34650.1980.310.3150.350.3430.232

    h60.2080.3660.3950.37360.2130.3350.340.3710.3950.295

    h70.1960.3420.3730.34670.1980.310.3150.350.3430.232

    h80.2080.3660.3950.37380.2130.3350.340.3710.3950.295

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.103-1.065-1.146-1.1231-1.032-1.046-0.979-0.985-0.986-1.17

    c22.1121.7081.7411.73421.941.5591.4271.4281.4291.817

    n3-1.174-1.123-1.125-1.13-1.132-1.038-0.957-0.966-0.967-1.116

    n4-1.174-1.123-1.125-1.14-1.132-1.038-0.957-0.966-0.967-1.116

    h50.3250.3880.3980.38350.3260.3730.3520.3580.3580.38

    h60.3410.4110.4270.40860.3490.4040.3780.3840.3840.409

    h70.3250.3880.3980.38370.3260.3730.3520.3580.3580.38

    h80.3410.4110.4270.40880.3490.4040.3780.3840.3840.409

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.525-0.724-0.782-0.781-0.447-0.656-0.676-0.721-0.721-0.667

    c20.9361.2391.3331.31420.7651.0671.111.2491.2511.118

    n3-0.867-1.155-1.228-1.2153-0.821-1.075-1.1-1.207-1.208-1.11

    n4-0.867-1.155-1.228-1.2154-0.821-1.075-1.1-1.207-1.208-1.11

    h50.3370.4550.4820.4850.3350.4390.4510.4780.4780.449

    h60.3250.4420.470.46960.3270.430.440.4640.4650.435

    h70.3370.4550.4820.4870.3350.4390.4510.4780.4780.449

    h80.3250.4420.470.46980.3270.430.440.4640.4650.435

    45Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.301-0.632-0.58-0.537-0.263-0.425-0.392-0.445-0.431-0.374

    c20.3971.0360.8680.8740.2960.5440.5890.3260.2180.108

    n3-0.435-0.894-0.886-0.854-0.415-0.69-0.728-0.594-0.56-0.352

    n4-0.42-0.853-0.837-0.821-0.408-0.659-0.706-0.588-0.55-0.329

    h50.190.3330.3570.3290.1960.3030.3030.3140.3160.221

    h60.20.3540.3790.3550.2080.3250.3270.3420.3520.263

    h70.1770.3130.3340.310.1850.2850.2870.3010.30.204

    h80.1920.3430.3640.3450.2010.3160.3210.3430.3550.259

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.071-1.045-1.127-1.107-1.012-1.027-0.963-0.968-0.969-1.156

    c22.0031.6111.6241.6261.8491.4611.3481.3511.351.732

    n3-1.105-1.06-1.041-1.03-1.075-0.97-0.904-0.912-0.913-1.063

    n4-1.028-0.99-0.954-0.956-1.006-0.899-0.849-0.855-0.859-1.008

    h50.3040.370.3740.3650.3120.3550.3380.3430.3440.368

    h60.3190.3930.4030.390.3320.3850.3630.3680.3690.394

    h70.2740.3410.3380.3360.2840.3240.3130.3180.3180.345

    h80.2970.3740.3780.370.310.3640.3470.3520.3530.382

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.516-0.698-0.751-0.729-0.442-0.633-0.631-0.651-0.652-0.592

    c21.0381.2571.341.2490.8451.0911.0581.1061.1060.936

    n3-0.975-1.225-1.308-1.244-0.898-1.16-1.141-1.182-1.182-1.029

    n4-0.92-1.13-1.193-1.12-0.853-1.057-1.026-1.036-1.035-0.892

    h50.3620.4720.5030.4870.3530.4620.460.470.470.422

    h60.350.4660.50.4850.3460.4610.4580.470.4710.423

    h70.3340.4260.450.4290.3270.4120.4050.4050.4040.361

    h80.3260.4320.4590.4430.3230.4240.4180.4180.4180.371

    90Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.296-0.623-0.568-0.523-0.257-0.408-0.523-0.408-0.384-0.384

    c20.390.9850.8070.8160.2920.4820.8160.2930.1450.145

    n3-0.436-0.896-0.88-0.839-0.407-0.671-0.839-0.614-0.588-0.588

    n4-0.42-0.832-0.827-0.841-0.423-0.666-0.841-0.689-0.635-0.635

    h50.2110.3620.3880.3620.2180.3310.3620.3590.3720.372

    h60.2020.3540.3810.3540.2120.3260.3540.3550.3720.372

    h70.1730.3230.3470.3310.1810.30.3310.3380.3460.346

    h80.1760.3270.3510.340.1830.3060.340.3670.3710.371

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.063-1.047-1.13-1.109-1.003-1.027-1.109-0.968-0.97-0.97

    c21.9581.5931.6121.6061.811.4511.6061.3371.3361.336

    n3-1.166-1.094-1.092-1.071-1.133-1.009-1.071-0.933-0.935-0.935

    n4-0.932-0.954-0.914-0.914-0.922-0.874-0.914-0.844-0.841-0.841

    h50.3440.4060.4180.4020.3550.3980.4020.3780.3790.379

    h60.3290.3970.4080.3940.3430.390.3940.3730.3740.374

    h70.2590.3460.3460.3410.2690.3330.3410.3250.3250.325

    h80.2660.3480.3460.3430.2740.3320.3430.3260.3260.326

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.063-0.696-0.755-0.747-0.433-0.638-0.747-0.684-0.685-0.685

    c21.9581.2051.2871.2320.8171.0481.2321.1221.1191.119

    n3-1.166-1.111-1.174-1.11-0.813-0.999-1.11-1.018-1.016-1.016

    n4-0.932-1.101-1.172-1.135-0.865-1.075-1.135-1.107-1.101-1.101

    h50.3440.4550.480.460.3470.4330.460.4350.4340.434

    h60.3290.4330.4610.4440.3260.4160.4440.4220.4220.422

    h70.2590.4190.4250.4170.3030.3980.4170.4070.4050.405

    h80.2660.3950.4470.4380.3180.4170.4380.4230.4210.421

    135degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.305-0.636-0.586-0.542-0.266-0.428-0.396-0.447-0.428-0.372

    c20.3981.0310.860.8620.2960.5370.5780.3180.1770.102

    n3-0.435-0.89-0.877-0.845-0.416-0.686-0.72-0.601-0.561-0.36

    n4-0.431-0.872-0.86-0.841-0.417-0.678-0.722-0.602-0.557-0.36

    h50.1950.3410.3650.3380.2020.3110.3110.3270.3330.237

    h60.1980.350.3750.3510.2070.3220.3230.3420.3550.262

    h70.1910.3430.3670.3450.2010.3160.3190.340.3540.259

    h80.1890.3330.3550.3330.1950.3050.3070.3240.3270.233

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.073-1.05-1.132-1.111-1.013-1.031-0.967-0.973-0.974-1.159

    c22.0131.6171.6271.6291.8591.4651.3511.3541.3531.737

    n3-1.108-1.059-1.039-1.029-1.081-0.972-0.905-0.913-0.914-1.066

    n4-1.062-1.027-0.999-0.994-1.04-0.939-0.882-0.891-0.891-1.041

    h50.3130.3790.3850.3750.3210.3660.3480.3520.3530.377

    h60.3150.3890.3990.3870.3290.3830.3610.3660.3670.393

    h70.30.3780.3840.3750.3130.370.350.3560.3570.384

    h80.2970.3670.370.3630.3060.3530.3370.3420.3430.369

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.516-0.7-0.755-0.736-0.443-0.637-0.638-0.666-0.666-0.605

    c21.0261.2371.3191.230.8321.071.0391.0981.0960.927

    n3-0.947-1.175-1.25-1.178-0.869-1.101-1.071-1.103-1.102-0.955

    n4-0.938-1.156-1.226-1.156-0.868-1.09-1.061-1.087-1.085-0.938

    h50.3580.4640.4930.4730.3490.4510.4440.450.450.403

    h60.3390.4460.4780.4610.3340.4390.4330.4420.4420.397

    h70.330.4320.4630.4460.3260.4270.4210.4280.4280.383

    h80.3490.4520.4810.4610.340.4410.4340.4380.4380.389

    Mulliken- HF6311g

    04590135

    1-0.574-0.537-0.523-0.542

    20.9810.8740.8160.862

    3-0.923-0.854-0.839-0.845

    4-0.923-0.821-0.841-0.841

    50.3460.3290.3620.338

    60.3730.3550.3540.351

    70.3460.310.3310.345

    80.3730.3450.340.333

    AIM -HF6311g

    04590135

    1-1.123-1.107-1.109-1.111

    21.7341.6261.6061.629

    3-1.1-1.03-1.071-1.029

    4-1.1-0.956-0.914-0.994

    50.3830.3650.4020.375

    60.4080.390.3940.387

    70.3830.3360.3410.375

    80.4080.370.3430.363

    esp -HF6311g

    04590135

    1-0.78-0.729-0.747-0.736

    21.3141.2491.2321.23

    3-1.215-1.244-1.11-1.178

    4-1.215-1.12-1.135-1.156

    50.480.4870.460.473

    60.4690.4850.4440.461

    70.480.4290.4170.446

    80.4690.4430.4380.461

    Mulliken- blyp6311g

    04590135

    1-0.422-0.392-0.523-0.396

    20.7030.5890.8160.578

    3-0.795-0.728-0.839-0.72

    4-0.795-0.706-0.841-0.722

    50.3150.3030.3620.311

    60.340.3270.3540.323

    70.3150.2870.3310.319

    80.340.3210.340.307

    AIM -blyp6311g

    04590135

    1-0.979-0.963-1.109-0.967

    21.4271.3481.6061.351

    3-0.957-0.904-1.071-0.905

    4-0.957-0.849-0.914-0.882

    50.3520.3380.4020.348

    60.3780.3630.3940.361

    70.3520.3130.3410.35

    80.3780.3470.3430.337

    esp -blyp6311g

    04590135

    1-0.676-0.631-0.747-0.638

    21.111.0581.2321.039

    3-1.1-1.141-1.11-1.071

    4-1.1-1.026-1.135-1.061

    50.4510.460.460.444

    60.440.4580.4440.433

    70.4510.4050.4170.421

    80.440.4180.4380.434

    urea

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea Mulliken Charge with Varying Dihedral via HF6311g

    ethyl formate

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Urea AIM Charge (HF 6311g) with Varied Dihedral Angle

    CN

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea ESP Charge (HF6311g) with Varied Dihedral Angle

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea Mulliken (BLYP6311g) with Varied Dihedral Angles

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea AIM Charges (BLYP6311g) with Varied Dihedral Angles

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea ESP Charge (BLYP6311g) with Varied Dihedral Angles

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Urea Mulliken Charge with Hartree-Fock Method at Optimal Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Urea AIM Charge with Hartree-Fock Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Urea AIM Charge with DFT Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Urea Mulliken Charge with DFT Method at Optimal Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Urea ESP Charge with Hartree-Fock Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Urea Electrostatic Potential Charge with DFT Method at Optimal Geometry

    0Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    c10.2640.6480.5860.5310.1640.3610.3090.2450.2350.143

    o2-0.265-0.589-0.536-0.4992-0.233-0.388-0.365-0.379-0.368-0.304

    o3-0.267-0.692-0.699-0.6153-0.191-0.472-0.43-0.204-0.167-0.1

    h40.0720.2330.2060.18240.0780.1520.170.1970.2060.134

    c50.016-0.1030.009-0.0195-0.043-0.034-0.125-0.261-0.35-0.209

    c6-0.183-0.613-0.458-0.4986-0.234-0.411-0.523-0.784-0.836-0.485

    h70.0740.2260.1780.18670.0910.1580.1930.2370.2530.158

    h80.070.2060.1590.17180.0880.1430.1810.2250.2170.141

    h90.0730.2290.1890.18890.0940.1670.1990.2430.2790.183

    h100.0730.2290.1890.188100.0940.1670.1990.2430.2790.183

    h110.0740.2260.1780.186110.0910.1580.1930.2370.2530.158

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    c11.61.4131.5031.46211.451.3041.211.2151.2151.55

    o2-1.048-1.037-1.111-1.0842-0.997-1.003-0.938-0.949-0.949-1.136

    o3-1.043-1.052-1.064-1.0743-0.944-0.902-0.887-0.889-0.889-1.051

    h4-0.0320.0810.0770.0984-0.010.0790.0950.0990.0990.062

    c50.5470.4350.4820.44850.4510.3750.3450.3390.340.435

    c60.2460.0450.1090.04860.1530.04-0.019-0.019-0.0190.055

    h7-0.0530.02-0.0050.0157-0.0230.0140.0320.0340.0340.007

    h8-0.0580.005-0.0180.0028-0.0250.0070.0240.0260.0260.001

    h9-0.0590.030.010.039-0.0210.0310.0480.0510.0510.03

    h10-0.0590.030.010.0310-0.0210.0310.0480.0510.050.03

    h11-0.0530.02-0.0050.01511-0.0230.0140.0320.0340.0330.007

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    c10.6720.880.9910.99310.510.8130.8340.8960.8950.731

    o2-0.438-0.629-0.697-0.6972-0.378-0.584-0.598-0.634-0.634-0.57

    o3-0.42-0.609-0.689-0.6823-0.324-0.566-0.582-0.615-0.614-0.504

    h4-0.066-0.024-0.034-0.0364-0.045-0.04-0.037-0.049-0.049-0.015

    c50.2530.3880.4390.44250.2140.3780.4040.4250.4230.382

    c6-0.437-0.529-0.472-0.4496-0.481-0.439-0.449-0.46-0.456-0.45

    h70.1310.160.1460.13970.1440.1380.1380.1420.1410.137

    h80.1060.1240.1030.09780.1230.0990.10.10.0990.103

    h90.0340.040.0340.02890.0460.0320.0260.0260.0260.025

    h100.0340.040.0330.028100.0460.0320.0260.0260.0260.025

    h110.1310.160.1460.139110.1440.1380.1380.1420.1410.137

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Ethyl Formate Mulliken Charges via Hartree-Fock Methods at Optimized Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Ethyl Formate Mulliken Charges via DFT Methods at Optimized Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Ethyl Formate AIM Charges via Hartree-Fock Methods at Optimized Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Ethyl Formate AIM Charges via DFT Methods at Optimized Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Ethyl Formate ESP Charges via Hartree-Fock Methods at Optimized Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Ethyl Formate ESP Charges via DFT Methods at Optimized Geometry

    0Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    n1-0.2-0.514-0.332-0.2111-0.201-0.262-0.112-0.213-0.203-0.305

    c20.0690.3420.1420.03420.0750.115-0.0050.2080.1650.038

    c3-0.101-0.473-0.332-0.3763-0.144-0.304-0.427-0.604-0.548-0.053

    h40.0910.2720.220.2340.110.1890.2320.2760.2740.164

    h50.0910.2720.220.2350.110.1890.2320.2760.2740.164

    c6-0.165-0.57-0.448-0.4746-0.217-0.402-0.507-0.65-0.684-0.469

    h70.0720.2270.1810.1970.090.1620.1980.2360.2320.152

    h80.0720.2270.1810.1980.090.1620.1980.2360.2320.152

    h90.070.2180.1740.18690.0880.1520.1920.2350.2570.157

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    n1-1.15-1.01-1.106-0.9981-1.122-1.023-0.838-0.857-0.857-1.124

    c20.7370.6380.7660.64220.7530.7290.5530.5650.5650.838

    c30.3260.1350.1860.16230.2260.1210.0790.080.080.104

    h4-0.0140.0630.0290.04940.0160.0440.0620.0640.0640.047

    h5-0.0140.0630.0290.04950.0160.0440.0620.0640.0640.047

    c60.2430.0240.0950.03660.1480.027-0.027-0.028-0.0280.037

    h7-0.0440.02900.0197-0.0140.0180.0360.0370.0370.017

    h8-0.0440.02900.0198-0.0140.0180.0360.0370.0370.017

    h9-0.0470.021-0.0060.0149-0.0170.0130.030.0310.0310.01

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    n1-0.417-0.472-0.513-0.5141-0.381-0.477-0.481-0.507-0.507-0.463

    c20.3550.3520.3750.36720.3060.360.3530.3750.3740.286

    c3-0.075-0.07-0.0150.0133-0.088-0.054-0.021-0.009-0.0070.061

    h40.0540.0750.0580.0540.0680.0650.0570.0530.0520.046

    h50.0540.0750.0580.0550.0680.0650.0570.0530.0520.046

    c6-0.123-0.177-0.128-0.1146-0.17-0.118-0.116-0.11-0.106-0.157

    h70.050.0730.0560.05170.0670.0550.0520.050.0490.064

    h80.050.0730.0560.05180.0670.0550.0520.050.0490.064

    h90.050.0690.0520.04690.0640.0490.0470.0460.0450.052

    15 Degrees60 Degrees105 Degrees150 Degrees195 Degrees

    MUL1-0.213-0.211-0.213-0.212-0.211

    hf6311g20.0260.0340.0250.0290.033

    3-0.371-0.376-0.372-0.373-0.375

    40.2340.230.2370.2310.232

    50.2370.230.2340.2350.23

    6-0.496-0.474-0.496-0.487-0.478

    70.2060.190.190.1870.187

    80.190.190.2060.20.189

    90.1880.1860.1880.190.194

    15 Degrees60 Degrees105 Degrees150 Degrees195 Degrees

    AIM1-0.997-0.998-0.999-0.998-0.997

    hf6311g20.6410.6420.6430.6430.641

    30.1590.1620.1580.160.161

    40.0510.0490.0490.0510.048

    50.0480.0490.0520.0470.05

    60.0290.0360.030.0320.035

    70.0280.0190.0160.0150.014

    80.0150.0190.030.0230.019

    90.0170.0140.0140.0190.021

    15 Degrees60 Degrees105 Degrees150 Degrees195 Degrees

    ESP1-0.511-0.514-0.511-0.512-0.511

    hf6311g20.3580.3670.3570.3630.36

    30.0090.0130.0090.0050.02

    40.0570.050.0580.0560.051

    50.0560.050.0570.0560.05

    6-0.141-0.114-0.15-0.134-0.131

    70.0680.0510.0550.0510.05

    80.0530.0510.070.0630.053

    90.0520.0460.0540.0530.058

    MUL15 Degrees60 Degree105 degree150 degree195 degree

    blyp6311g1-0.112-0.112-0.111-0.112-0.113

    2-0.019-0.005-0.019-0.013-0.007

    3-0.421-0.427-0.421-0.423-0.426

    40.2360.2320.2380.2330.233

    50.2380.2320.2350.2360.232

    6-0.523-0.507-0.522-0.516-0.509

    70.2110.1980.1960.1930.192

    80.1960.1980.2110.2060.197

    90.1930.1920.1940.1970.201

    AIM15 Degrees60 Degree105 degree150 degree195 degree

    blyp6311g1-0.837-0.838-0.839-0.839-0.837

    20.5510.5530.5530.5530.551

    30.0770.0790.0770.0780.079

    40.0640.0620.0620.0640.061

    50.0620.0620.0640.0610.063

    6-0.033-0.027-0.032-0.031-0.028

    70.0440.0360.0330.0310.031

    80.0310.0360.0450.0350.035

    90.0330.030.030.0390.037

    ESP15 Degrees60 Degree105 degree150 degree195 degree

    blyp6311g1-0.476-0.481-0.476-0.478-0.477

    20.3380.3530.3390.3440.342

    3-0.015-0.021-0.017-0.023-0.006

    40.0620.0570.0630.0610.056

    50.0610.0570.0630.0620.055

    6-0.156-0.116-0.163-0.146-0.137

    70.0710.0520.060.0550.052

    80.0580.0520.0740.0570.055

    90.0570.0470.0580.0660.06

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Propionitrile Mulliken Charge via Hartree-Fock Method at Optimal Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Propioniltrile AIM Charge via Hartree-Fock Method at Optimal Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Proprionitrile ESP Charge via Hartree-Fock Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Proprionitrile Mulliken Charge via DFT Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Proprionitrile AIM Charges via DFT Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Propionitrile ESP Charge via DFT Method at Optimal Geometry

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degrees

    105 Degrees

    150 Degrees

    195 Degrees

    Atom Number

    Charge

    Proprionitrile Mulliken Charges via Hartree-Fock Method at Varying Dihedral Angles

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degrees

    105 Degrees

    150 Degrees

    195 Degrees

    Atom Number

    Charge

    Propionitrile AIM Charges via Hartree-Fock Method at Varying Dihedral Angles

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degrees

    105 Degrees

    150 Degrees

    195 Degrees

    Atom Number

    Charge

    Proprionitrile ESP Charges via Hartree-Fock Method at Varying Dihedral Angles

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degree

    105 degree

    150 degree

    195 degree

    Atom Number

    Charge

    Proprionitrile Mulliken Charges via DFT Method at Varying Dihedral Angle

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degree

    105 degree

    150 degree

    195 degree

    Atom Number

    Charge

    Proprionitrile AIM Charges via DFT Methods at Varying Dihedral Angle

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degree

    105 degree

    150 degree

    195 degree

    Atom Number

    Charge

    Proprionitrile ESP Charges via DFT Method at Varying Dihedral Angle

    Chart3

    -0.525-0.724-0.782-0.78

    0.9361.2391.3331.314

    -0.867-1.155-1.228-1.215

    -0.867-1.155-1.228-1.215

    0.3370.4550.4820.48

    0.3250.4420.470.469

    0.3370.4550.4820.48

    0.3250.4420.470.469

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Urea ESP Charge with Hartree-Fock Method at Optimal Geometry

    urea

    0Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.334-0.67-0.621-0.5741-0.286-0.457-0.422-0.528-0.508-0.419

    c20.4251.1420.990.98120.3090.6520.7030.6080.4950.254

    n3-0.449-0.944-0.953-0.9233-0.422-0.742-0.795-0.762-0.732-0.445

    n4-0.449-0.944-0.953-0.9234-0.422-0.742-0.795-0.762-0.732-0.445

    h50.1960.3420.3730.34650.1980.310.3150.350.3430.232

    h60.2080.3660.3950.37360.2130.3350.340.3710.3950.295

    h70.1960.3420.3730.34670.1980.310.3150.350.3430.232

    h80.2080.3660.3950.37380.2130.3350.340.3710.3950.295

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.103-1.065-1.146-1.1231-1.032-1.046-0.979-0.985-0.986-1.17

    c22.1121.7081.7411.73421.941.5591.4271.4281.4291.817

    n3-1.174-1.123-1.125-1.13-1.132-1.038-0.957-0.966-0.967-1.116

    n4-1.174-1.123-1.125-1.14-1.132-1.038-0.957-0.966-0.967-1.116

    h50.3250.3880.3980.38350.3260.3730.3520.3580.3580.38

    h60.3410.4110.4270.40860.3490.4040.3780.3840.3840.409

    h70.3250.3880.3980.38370.3260.3730.3520.3580.3580.38

    h80.3410.4110.4270.40880.3490.4040.3780.3840.3840.409

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.525-0.724-0.782-0.781-0.447-0.656-0.676-0.721-0.721-0.667

    c20.9361.2391.3331.31420.7651.0671.111.2491.2511.118

    n3-0.867-1.155-1.228-1.2153-0.821-1.075-1.1-1.207-1.208-1.11

    n4-0.867-1.155-1.228-1.2154-0.821-1.075-1.1-1.207-1.208-1.11

    h50.3370.4550.4820.4850.3350.4390.4510.4780.4780.449

    h60.3250.4420.470.46960.3270.430.440.4640.4650.435

    h70.3370.4550.4820.4870.3350.4390.4510.4780.4780.449

    h80.3250.4420.470.46980.3270.430.440.4640.4650.435

    45Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.301-0.632-0.58-0.537-0.263-0.425-0.392-0.445-0.431-0.374

    c20.3971.0360.8680.8740.2960.5440.5890.3260.2180.108

    n3-0.435-0.894-0.886-0.854-0.415-0.69-0.728-0.594-0.56-0.352

    n4-0.42-0.853-0.837-0.821-0.408-0.659-0.706-0.588-0.55-0.329

    h50.190.3330.3570.3290.1960.3030.3030.3140.3160.221

    h60.20.3540.3790.3550.2080.3250.3270.3420.3520.263

    h70.1770.3130.3340.310.1850.2850.2870.3010.30.204

    h80.1920.3430.3640.3450.2010.3160.3210.3430.3550.259

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.071-1.045-1.127-1.107-1.012-1.027-0.963-0.968-0.969-1.156

    c22.0031.6111.6241.6261.8491.4611.3481.3511.351.732

    n3-1.105-1.06-1.041-1.03-1.075-0.97-0.904-0.912-0.913-1.063

    n4-1.028-0.99-0.954-0.956-1.006-0.899-0.849-0.855-0.859-1.008

    h50.3040.370.3740.3650.3120.3550.3380.3430.3440.368

    h60.3190.3930.4030.390.3320.3850.3630.3680.3690.394

    h70.2740.3410.3380.3360.2840.3240.3130.3180.3180.345

    h80.2970.3740.3780.370.310.3640.3470.3520.3530.382

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.516-0.698-0.751-0.729-0.442-0.633-0.631-0.651-0.652-0.592

    c21.0381.2571.341.2490.8451.0911.0581.1061.1060.936

    n3-0.975-1.225-1.308-1.244-0.898-1.16-1.141-1.182-1.182-1.029

    n4-0.92-1.13-1.193-1.12-0.853-1.057-1.026-1.036-1.035-0.892

    h50.3620.4720.5030.4870.3530.4620.460.470.470.422

    h60.350.4660.50.4850.3460.4610.4580.470.4710.423

    h70.3340.4260.450.4290.3270.4120.4050.4050.4040.361

    h80.3260.4320.4590.4430.3230.4240.4180.4180.4180.371

    90Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.296-0.623-0.568-0.523-0.257-0.408-0.523-0.408-0.384-0.384

    c20.390.9850.8070.8160.2920.4820.8160.2930.1450.145

    n3-0.436-0.896-0.88-0.839-0.407-0.671-0.839-0.614-0.588-0.588

    n4-0.42-0.832-0.827-0.841-0.423-0.666-0.841-0.689-0.635-0.635

    h50.2110.3620.3880.3620.2180.3310.3620.3590.3720.372

    h60.2020.3540.3810.3540.2120.3260.3540.3550.3720.372

    h70.1730.3230.3470.3310.1810.30.3310.3380.3460.346

    h80.1760.3270.3510.340.1830.3060.340.3670.3710.371

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.063-1.047-1.13-1.109-1.003-1.027-1.109-0.968-0.97-0.97

    c21.9581.5931.6121.6061.811.4511.6061.3371.3361.336

    n3-1.166-1.094-1.092-1.071-1.133-1.009-1.071-0.933-0.935-0.935

    n4-0.932-0.954-0.914-0.914-0.922-0.874-0.914-0.844-0.841-0.841

    h50.3440.4060.4180.4020.3550.3980.4020.3780.3790.379

    h60.3290.3970.4080.3940.3430.390.3940.3730.3740.374

    h70.2590.3460.3460.3410.2690.3330.3410.3250.3250.325

    h80.2660.3480.3460.3430.2740.3320.3430.3260.3260.326

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.063-0.696-0.755-0.747-0.433-0.638-0.747-0.684-0.685-0.685

    c21.9581.2051.2871.2320.8171.0481.2321.1221.1191.119

    n3-1.166-1.111-1.174-1.11-0.813-0.999-1.11-1.018-1.016-1.016

    n4-0.932-1.101-1.172-1.135-0.865-1.075-1.135-1.107-1.101-1.101

    h50.3440.4550.480.460.3470.4330.460.4350.4340.434

    h60.3290.4330.4610.4440.3260.4160.4440.4220.4220.422

    h70.2590.4190.4250.4170.3030.3980.4170.4070.4050.405

    h80.2660.3950.4470.4380.3180.4170.4380.4230.4210.421

    135degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.305-0.636-0.586-0.542-0.266-0.428-0.396-0.447-0.428-0.372

    c20.3981.0310.860.8620.2960.5370.5780.3180.1770.102

    n3-0.435-0.89-0.877-0.845-0.416-0.686-0.72-0.601-0.561-0.36

    n4-0.431-0.872-0.86-0.841-0.417-0.678-0.722-0.602-0.557-0.36

    h50.1950.3410.3650.3380.2020.3110.3110.3270.3330.237

    h60.1980.350.3750.3510.2070.3220.3230.3420.3550.262

    h70.1910.3430.3670.3450.2010.3160.3190.340.3540.259

    h80.1890.3330.3550.3330.1950.3050.3070.3240.3270.233

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.073-1.05-1.132-1.111-1.013-1.031-0.967-0.973-0.974-1.159

    c22.0131.6171.6271.6291.8591.4651.3511.3541.3531.737

    n3-1.108-1.059-1.039-1.029-1.081-0.972-0.905-0.913-0.914-1.066

    n4-1.062-1.027-0.999-0.994-1.04-0.939-0.882-0.891-0.891-1.041

    h50.3130.3790.3850.3750.3210.3660.3480.3520.3530.377

    h60.3150.3890.3990.3870.3290.3830.3610.3660.3670.393

    h70.30.3780.3840.3750.3130.370.350.3560.3570.384

    h80.2970.3670.370.3630.3060.3530.3370.3420.3430.369

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.516-0.7-0.755-0.736-0.443-0.637-0.638-0.666-0.666-0.605

    c21.0261.2371.3191.230.8321.071.0391.0981.0960.927

    n3-0.947-1.175-1.25-1.178-0.869-1.101-1.071-1.103-1.102-0.955

    n4-0.938-1.156-1.226-1.156-0.868-1.09-1.061-1.087-1.085-0.938

    h50.3580.4640.4930.4730.3490.4510.4440.450.450.403

    h60.3390.4460.4780.4610.3340.4390.4330.4420.4420.397

    h70.330.4320.4630.4460.3260.4270.4210.4280.4280.383

    h80.3490.4520.4810.4610.340.4410.4340.4380.4380.389

    Mulliken- HF6311g

    04590135

    1-0.574-0.537-0.523-0.542

    20.9810.8740.8160.862

    3-0.923-0.854-0.839-0.845

    4-0.923-0.821-0.841-0.841

    50.3460.3290.3620.338

    60.3730.3550.3540.351

    70.3460.310.3310.345

    80.3730.3450.340.333

    AIM -HF6311g

    04590135

    1-1.123-1.107-1.109-1.111

    21.7341.6261.6061.629

    3-1.1-1.03-1.071-1.029

    4-1.1-0.956-0.914-0.994

    50.3830.3650.4020.375

    60.4080.390.3940.387

    70.3830.3360.3410.375

    80.4080.370.3430.363

    esp -HF6311g

    04590135

    1-0.78-0.729-0.747-0.736

    21.3141.2491.2321.23

    3-1.215-1.244-1.11-1.178

    4-1.215-1.12-1.135-1.156

    50.480.4870.460.473

    60.4690.4850.4440.461

    70.480.4290.4170.446

    80.4690.4430.4380.461

    Mulliken- blyp6311g

    04590135

    1-0.422-0.392-0.523-0.396

    20.7030.5890.8160.578

    3-0.795-0.728-0.839-0.72

    4-0.795-0.706-0.841-0.722

    50.3150.3030.3620.311

    60.340.3270.3540.323

    70.3150.2870.3310.319

    80.340.3210.340.307

    AIM -blyp6311g

    04590135

    1-0.979-0.963-1.109-0.967

    21.4271.3481.6061.351

    3-0.957-0.904-1.071-0.905

    4-0.957-0.849-0.914-0.882

    50.3520.3380.4020.348

    60.3780.3630.3940.361

    70.3520.3130.3410.35

    80.3780.3470.3430.337

    esp -blyp6311g

    04590135

    1-0.676-0.631-0.747-0.638

    21.111.0581.2321.039

    3-1.1-1.141-1.11-1.071

    4-1.1-1.026-1.135-1.061

    50.4510.460.460.444

    60.440.4580.4440.433

    70.4510.4050.4170.421

    80.440.4180.4380.434

    urea

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea Mulliken Charge with Varying Dihedral via HF6311g

    ethyl formate

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Urea AIM Charge (HF 6311g) with Varied Dihedral Angle

    CN

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea ESP Charge (HF6311g) with Varied Dihedral Angle

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea Mulliken (BLYP6311g) with Varied Dihedral Angles

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea AIM Charges (BLYP6311g) with Varied Dihedral Angles

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea ESP Charge (BLYP6311g) with Varied Dihedral Angles

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Urea Mulliken Charge with Hartree-Fock Method at Optimal Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Urea AIM Charge with Hartree-Fock Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Urea AIM Charge with DFT Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Urea Mulliken Charge with DFT Method at Optimal Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Urea ESP Charge with Hartree-Fock Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Urea Electrostatic Potential Charge with DFT Method at Optimal Geometry

    0Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    c10.2640.6480.5860.5310.1640.3610.3090.2450.2350.143

    o2-0.265-0.589-0.536-0.4992-0.233-0.388-0.365-0.379-0.368-0.304

    o3-0.267-0.692-0.699-0.6153-0.191-0.472-0.43-0.204-0.167-0.1

    h40.0720.2330.2060.18240.0780.1520.170.1970.2060.134

    c50.016-0.1030.009-0.0195-0.043-0.034-0.125-0.261-0.35-0.209

    c6-0.183-0.613-0.458-0.4986-0.234-0.411-0.523-0.784-0.836-0.485

    h70.0740.2260.1780.18670.0910.1580.1930.2370.2530.158

    h80.070.2060.1590.17180.0880.1430.1810.2250.2170.141

    h90.0730.2290.1890.18890.0940.1670.1990.2430.2790.183

    h100.0730.2290.1890.188100.0940.1670.1990.2430.2790.183

    h110.0740.2260.1780.186110.0910.1580.1930.2370.2530.158

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    c11.61.4131.5031.46211.451.3041.211.2151.2151.55

    o2-1.048-1.037-1.111-1.0842-0.997-1.003-0.938-0.949-0.949-1.136

    o3-1.043-1.052-1.064-1.0743-0.944-0.902-0.887-0.889-0.889-1.051

    h4-0.0320.0810.0770.0984-0.010.0790.0950.0990.0990.062

    c50.5470.4350.4820.44850.4510.3750.3450.3390.340.435

    c60.2460.0450.1090.04860.1530.04-0.019-0.019-0.0190.055

    h7-0.0530.02-0.0050.0157-0.0230.0140.0320.0340.0340.007

    h8-0.0580.005-0.0180.0028-0.0250.0070.0240.0260.0260.001

    h9-0.0590.030.010.039-0.0210.0310.0480.0510.0510.03

    h10-0.0590.030.010.0310-0.0210.0310.0480.0510.050.03

    h11-0.0530.02-0.0050.01511-0.0230.0140.0320.0340.0330.007

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    c10.6720.880.9910.99310.510.8130.8340.8960.8950.731

    o2-0.438-0.629-0.697-0.6972-0.378-0.584-0.598-0.634-0.634-0.57

    o3-0.42-0.609-0.689-0.6823-0.324-0.566-0.582-0.615-0.614-0.504

    h4-0.066-0.024-0.034-0.0364-0.045-0.04-0.037-0.049-0.049-0.015

    c50.2530.3880.4390.44250.2140.3780.4040.4250.4230.382

    c6-0.437-0.529-0.472-0.4496-0.481-0.439-0.449-0.46-0.456-0.45

    h70.1310.160.1460.13970.1440.1380.1380.1420.1410.137

    h80.1060.1240.1030.09780.1230.0990.10.10.0990.103

    h90.0340.040.0340.02890.0460.0320.0260.0260.0260.025

    h100.0340.040.0330.028100.0460.0320.0260.0260.0260.025

    h110.1310.160.1460.139110.1440.1380.1380.1420.1410.137

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Ethyl Formate Mulliken Charges via Hartree-Fock Methods at Optimized Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Ethyl Formate Mulliken Charges via DFT Methods at Optimized Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Ethyl Formate AIM Charges via Hartree-Fock Methods at Optimized Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Ethyl Formate AIM Charges via DFT Methods at Optimized Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Ethyl Formate ESP Charges via Hartree-Fock Methods at Optimized Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Ethyl Formate ESP Charges via DFT Methods at Optimized Geometry

    0Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    n1-0.2-0.514-0.332-0.2111-0.201-0.262-0.112-0.213-0.203-0.305

    c20.0690.3420.1420.03420.0750.115-0.0050.2080.1650.038

    c3-0.101-0.473-0.332-0.3763-0.144-0.304-0.427-0.604-0.548-0.053

    h40.0910.2720.220.2340.110.1890.2320.2760.2740.164

    h50.0910.2720.220.2350.110.1890.2320.2760.2740.164

    c6-0.165-0.57-0.448-0.4746-0.217-0.402-0.507-0.65-0.684-0.469

    h70.0720.2270.1810.1970.090.1620.1980.2360.2320.152

    h80.0720.2270.1810.1980.090.1620.1980.2360.2320.152

    h90.070.2180.1740.18690.0880.1520.1920.2350.2570.157

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    n1-1.15-1.01-1.106-0.9981-1.122-1.023-0.838-0.857-0.857-1.124

    c20.7370.6380.7660.64220.7530.7290.5530.5650.5650.838

    c30.3260.1350.1860.16230.2260.1210.0790.080.080.104

    h4-0.0140.0630.0290.04940.0160.0440.0620.0640.0640.047

    h5-0.0140.0630.0290.04950.0160.0440.0620.0640.0640.047

    c60.2430.0240.0950.03660.1480.027-0.027-0.028-0.0280.037

    h7-0.0440.02900.0197-0.0140.0180.0360.0370.0370.017

    h8-0.0440.02900.0198-0.0140.0180.0360.0370.0370.017

    h9-0.0470.021-0.0060.0149-0.0170.0130.030.0310.0310.01

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    n1-0.417-0.472-0.513-0.5141-0.381-0.477-0.481-0.507-0.507-0.463

    c20.3550.3520.3750.36720.3060.360.3530.3750.3740.286

    c3-0.075-0.07-0.0150.0133-0.088-0.054-0.021-0.009-0.0070.061

    h40.0540.0750.0580.0540.0680.0650.0570.0530.0520.046

    h50.0540.0750.0580.0550.0680.0650.0570.0530.0520.046

    c6-0.123-0.177-0.128-0.1146-0.17-0.118-0.116-0.11-0.106-0.157

    h70.050.0730.0560.05170.0670.0550.0520.050.0490.064

    h80.050.0730.0560.05180.0670.0550.0520.050.0490.064

    h90.050.0690.0520.04690.0640.0490.0470.0460.0450.052

    15 Degrees60 Degrees105 Degrees150 Degrees195 Degrees

    MUL1-0.213-0.211-0.213-0.212-0.211

    hf6311g20.0260.0340.0250.0290.033

    3-0.371-0.376-0.372-0.373-0.375

    40.2340.230.2370.2310.232

    50.2370.230.2340.2350.23

    6-0.496-0.474-0.496-0.487-0.478

    70.2060.190.190.1870.187

    80.190.190.2060.20.189

    90.1880.1860.1880.190.194

    15 Degrees60 Degrees105 Degrees150 Degrees195 Degrees

    AIM1-0.997-0.998-0.999-0.998-0.997

    hf6311g20.6410.6420.6430.6430.641

    30.1590.1620.1580.160.161

    40.0510.0490.0490.0510.048

    50.0480.0490.0520.0470.05

    60.0290.0360.030.0320.035

    70.0280.0190.0160.0150.014

    80.0150.0190.030.0230.019

    90.0170.0140.0140.0190.021

    15 Degrees60 Degrees105 Degrees150 Degrees195 Degrees

    ESP1-0.511-0.514-0.511-0.512-0.511

    hf6311g20.3580.3670.3570.3630.36

    30.0090.0130.0090.0050.02

    40.0570.050.0580.0560.051

    50.0560.050.0570.0560.05

    6-0.141-0.114-0.15-0.134-0.131

    70.0680.0510.0550.0510.05

    80.0530.0510.070.0630.053

    90.0520.0460.0540.0530.058

    MUL15 Degrees60 Degree105 degree150 degree195 degree

    blyp6311g1-0.112-0.112-0.111-0.112-0.113

    2-0.019-0.005-0.019-0.013-0.007

    3-0.421-0.427-0.421-0.423-0.426

    40.2360.2320.2380.2330.233

    50.2380.2320.2350.2360.232

    6-0.523-0.507-0.522-0.516-0.509

    70.2110.1980.1960.1930.192

    80.1960.1980.2110.2060.197

    90.1930.1920.1940.1970.201

    AIM15 Degrees60 Degree105 degree150 degree195 degree

    blyp6311g1-0.837-0.838-0.839-0.839-0.837

    20.5510.5530.5530.5530.551

    30.0770.0790.0770.0780.079

    40.0640.0620.0620.0640.061

    50.0620.0620.0640.0610.063

    6-0.033-0.027-0.032-0.031-0.028

    70.0440.0360.0330.0310.031

    80.0310.0360.0450.0350.035

    90.0330.030.030.0390.037

    ESP15 Degrees60 Degree105 degree150 degree195 degree

    blyp6311g1-0.476-0.481-0.476-0.478-0.477

    20.3380.3530.3390.3440.342

    3-0.015-0.021-0.017-0.023-0.006

    40.0620.0570.0630.0610.056

    50.0610.0570.0630.0620.055

    6-0.156-0.116-0.163-0.146-0.137

    70.0710.0520.060.0550.052

    80.0580.0520.0740.0570.055

    90.0570.0470.0580.0660.06

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Propionitrile Mulliken Charge via Hartree-Fock Method at Optimal Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Propioniltrile AIM Charge via Hartree-Fock Method at Optimal Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Proprionitrile ESP Charge via Hartree-Fock Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Proprionitrile Mulliken Charge via DFT Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Proprionitrile AIM Charges via DFT Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Propionitrile ESP Charge via DFT Method at Optimal Geometry

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degrees

    105 Degrees

    150 Degrees

    195 Degrees

    Atom Number

    Charge

    Proprionitrile Mulliken Charges via Hartree-Fock Method at Varying Dihedral Angles

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degrees

    105 Degrees

    150 Degrees

    195 Degrees

    Atom Number

    Charge

    Propionitrile AIM Charges via Hartree-Fock Method at Varying Dihedral Angles

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degrees

    105 Degrees

    150 Degrees

    195 Degrees

    Atom Number

    Charge

    Proprionitrile ESP Charges via Hartree-Fock Method at Varying Dihedral Angles

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degree

    105 degree

    150 degree

    195 degree

    Atom Number

    Charge

    Proprionitrile Mulliken Charges via DFT Method at Varying Dihedral Angle

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degree

    105 degree

    150 degree

    195 degree

    Atom Number

    Charge

    Proprionitrile AIM Charges via DFT Methods at Varying Dihedral Angle

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    15 Degrees

    60 Degree

    105 degree

    150 degree

    195 degree

    Atom Number

    Charge

    Proprionitrile ESP Charges via DFT Method at Varying Dihedral Angle

  • Basis Set Dependence MUL, AIM and ESP -- DFT MethodsUrea12345678

    Chart4

    -0.286-0.457-0.422-0.528-0.508-0.419

    0.3090.6520.7030.6080.4950.254

    -0.422-0.742-0.795-0.762-0.732-0.445

    -0.422-0.742-0.795-0.762-0.732-0.445

    0.1980.310.3150.350.3430.232

    0.2130.3350.340.3710.3950.295

    0.1980.310.3150.350.3430.232

    0.2130.3350.340.3710.3950.295

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Urea Mulliken Charge with DFT Method at Optimal Geometry

    urea

    0Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.334-0.67-0.621-0.5741-0.286-0.457-0.422-0.528-0.508-0.419

    c20.4251.1420.990.98120.3090.6520.7030.6080.4950.254

    n3-0.449-0.944-0.953-0.9233-0.422-0.742-0.795-0.762-0.732-0.445

    n4-0.449-0.944-0.953-0.9234-0.422-0.742-0.795-0.762-0.732-0.445

    h50.1960.3420.3730.34650.1980.310.3150.350.3430.232

    h60.2080.3660.3950.37360.2130.3350.340.3710.3950.295

    h70.1960.3420.3730.34670.1980.310.3150.350.3430.232

    h80.2080.3660.3950.37380.2130.3350.340.3710.3950.295

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.103-1.065-1.146-1.1231-1.032-1.046-0.979-0.985-0.986-1.17

    c22.1121.7081.7411.73421.941.5591.4271.4281.4291.817

    n3-1.174-1.123-1.125-1.13-1.132-1.038-0.957-0.966-0.967-1.116

    n4-1.174-1.123-1.125-1.14-1.132-1.038-0.957-0.966-0.967-1.116

    h50.3250.3880.3980.38350.3260.3730.3520.3580.3580.38

    h60.3410.4110.4270.40860.3490.4040.3780.3840.3840.409

    h70.3250.3880.3980.38370.3260.3730.3520.3580.3580.38

    h80.3410.4110.4270.40880.3490.4040.3780.3840.3840.409

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.525-0.724-0.782-0.781-0.447-0.656-0.676-0.721-0.721-0.667

    c20.9361.2391.3331.31420.7651.0671.111.2491.2511.118

    n3-0.867-1.155-1.228-1.2153-0.821-1.075-1.1-1.207-1.208-1.11

    n4-0.867-1.155-1.228-1.2154-0.821-1.075-1.1-1.207-1.208-1.11

    h50.3370.4550.4820.4850.3350.4390.4510.4780.4780.449

    h60.3250.4420.470.46960.3270.430.440.4640.4650.435

    h70.3370.4550.4820.4870.3350.4390.4510.4780.4780.449

    h80.3250.4420.470.46980.3270.430.440.4640.4650.435

    45Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.301-0.632-0.58-0.537-0.263-0.425-0.392-0.445-0.431-0.374

    c20.3971.0360.8680.8740.2960.5440.5890.3260.2180.108

    n3-0.435-0.894-0.886-0.854-0.415-0.69-0.728-0.594-0.56-0.352

    n4-0.42-0.853-0.837-0.821-0.408-0.659-0.706-0.588-0.55-0.329

    h50.190.3330.3570.3290.1960.3030.3030.3140.3160.221

    h60.20.3540.3790.3550.2080.3250.3270.3420.3520.263

    h70.1770.3130.3340.310.1850.2850.2870.3010.30.204

    h80.1920.3430.3640.3450.2010.3160.3210.3430.3550.259

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.071-1.045-1.127-1.107-1.012-1.027-0.963-0.968-0.969-1.156

    c22.0031.6111.6241.6261.8491.4611.3481.3511.351.732

    n3-1.105-1.06-1.041-1.03-1.075-0.97-0.904-0.912-0.913-1.063

    n4-1.028-0.99-0.954-0.956-1.006-0.899-0.849-0.855-0.859-1.008

    h50.3040.370.3740.3650.3120.3550.3380.3430.3440.368

    h60.3190.3930.4030.390.3320.3850.3630.3680.3690.394

    h70.2740.3410.3380.3360.2840.3240.3130.3180.3180.345

    h80.2970.3740.3780.370.310.3640.3470.3520.3530.382

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.516-0.698-0.751-0.729-0.442-0.633-0.631-0.651-0.652-0.592

    c21.0381.2571.341.2490.8451.0911.0581.1061.1060.936

    n3-0.975-1.225-1.308-1.244-0.898-1.16-1.141-1.182-1.182-1.029

    n4-0.92-1.13-1.193-1.12-0.853-1.057-1.026-1.036-1.035-0.892

    h50.3620.4720.5030.4870.3530.4620.460.470.470.422

    h60.350.4660.50.4850.3460.4610.4580.470.4710.423

    h70.3340.4260.450.4290.3270.4120.4050.4050.4040.361

    h80.3260.4320.4590.4430.3230.4240.4180.4180.4180.371

    90Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.296-0.623-0.568-0.523-0.257-0.408-0.523-0.408-0.384-0.384

    c20.390.9850.8070.8160.2920.4820.8160.2930.1450.145

    n3-0.436-0.896-0.88-0.839-0.407-0.671-0.839-0.614-0.588-0.588

    n4-0.42-0.832-0.827-0.841-0.423-0.666-0.841-0.689-0.635-0.635

    h50.2110.3620.3880.3620.2180.3310.3620.3590.3720.372

    h60.2020.3540.3810.3540.2120.3260.3540.3550.3720.372

    h70.1730.3230.3470.3310.1810.30.3310.3380.3460.346

    h80.1760.3270.3510.340.1830.3060.340.3670.3710.371

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.063-1.047-1.13-1.109-1.003-1.027-1.109-0.968-0.97-0.97

    c21.9581.5931.6121.6061.811.4511.6061.3371.3361.336

    n3-1.166-1.094-1.092-1.071-1.133-1.009-1.071-0.933-0.935-0.935

    n4-0.932-0.954-0.914-0.914-0.922-0.874-0.914-0.844-0.841-0.841

    h50.3440.4060.4180.4020.3550.3980.4020.3780.3790.379

    h60.3290.3970.4080.3940.3430.390.3940.3730.3740.374

    h70.2590.3460.3460.3410.2690.3330.3410.3250.3250.325

    h80.2660.3480.3460.3430.2740.3320.3430.3260.3260.326

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.063-0.696-0.755-0.747-0.433-0.638-0.747-0.684-0.685-0.685

    c21.9581.2051.2871.2320.8171.0481.2321.1221.1191.119

    n3-1.166-1.111-1.174-1.11-0.813-0.999-1.11-1.018-1.016-1.016

    n4-0.932-1.101-1.172-1.135-0.865-1.075-1.135-1.107-1.101-1.101

    h50.3440.4550.480.460.3470.4330.460.4350.4340.434

    h60.3290.4330.4610.4440.3260.4160.4440.4220.4220.422

    h70.2590.4190.4250.4170.3030.3980.4170.4070.4050.405

    h80.2660.3950.4470.4380.3180.4170.4380.4230.4210.421

    135degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.305-0.636-0.586-0.542-0.266-0.428-0.396-0.447-0.428-0.372

    c20.3981.0310.860.8620.2960.5370.5780.3180.1770.102

    n3-0.435-0.89-0.877-0.845-0.416-0.686-0.72-0.601-0.561-0.36

    n4-0.431-0.872-0.86-0.841-0.417-0.678-0.722-0.602-0.557-0.36

    h50.1950.3410.3650.3380.2020.3110.3110.3270.3330.237

    h60.1980.350.3750.3510.2070.3220.3230.3420.3550.262

    h70.1910.3430.3670.3450.2010.3160.3190.340.3540.259

    h80.1890.3330.3550.3330.1950.3050.3070.3240.3270.233

    AIM

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-1.073-1.05-1.132-1.111-1.013-1.031-0.967-0.973-0.974-1.159

    c22.0131.6171.6271.6291.8591.4651.3511.3541.3531.737

    n3-1.108-1.059-1.039-1.029-1.081-0.972-0.905-0.913-0.914-1.066

    n4-1.062-1.027-0.999-0.994-1.04-0.939-0.882-0.891-0.891-1.041

    h50.3130.3790.3850.3750.3210.3660.3480.3520.3530.377

    h60.3150.3890.3990.3870.3290.3830.3610.3660.3670.393

    h70.30.3780.3840.3750.3130.370.350.3560.3570.384

    h80.2970.3670.370.3630.3060.3530.3370.3420.3430.369

    ESP

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    o1-0.516-0.7-0.755-0.736-0.443-0.637-0.638-0.666-0.666-0.605

    c21.0261.2371.3191.230.8321.071.0391.0981.0960.927

    n3-0.947-1.175-1.25-1.178-0.869-1.101-1.071-1.103-1.102-0.955

    n4-0.938-1.156-1.226-1.156-0.868-1.09-1.061-1.087-1.085-0.938

    h50.3580.4640.4930.4730.3490.4510.4440.450.450.403

    h60.3390.4460.4780.4610.3340.4390.4330.4420.4420.397

    h70.330.4320.4630.4460.3260.4270.4210.4280.4280.383

    h80.3490.4520.4810.4610.340.4410.4340.4380.4380.389

    Mulliken- HF6311g

    04590135

    1-0.574-0.537-0.523-0.542

    20.9810.8740.8160.862

    3-0.923-0.854-0.839-0.845

    4-0.923-0.821-0.841-0.841

    50.3460.3290.3620.338

    60.3730.3550.3540.351

    70.3460.310.3310.345

    80.3730.3450.340.333

    AIM -HF6311g

    04590135

    1-1.123-1.107-1.109-1.111

    21.7341.6261.6061.629

    3-1.1-1.03-1.071-1.029

    4-1.1-0.956-0.914-0.994

    50.3830.3650.4020.375

    60.4080.390.3940.387

    70.3830.3360.3410.375

    80.4080.370.3430.363

    esp -HF6311g

    04590135

    1-0.78-0.729-0.747-0.736

    21.3141.2491.2321.23

    3-1.215-1.244-1.11-1.178

    4-1.215-1.12-1.135-1.156

    50.480.4870.460.473

    60.4690.4850.4440.461

    70.480.4290.4170.446

    80.4690.4430.4380.461

    Mulliken- blyp6311g

    04590135

    1-0.422-0.392-0.523-0.396

    20.7030.5890.8160.578

    3-0.795-0.728-0.839-0.72

    4-0.795-0.706-0.841-0.722

    50.3150.3030.3620.311

    60.340.3270.3540.323

    70.3150.2870.3310.319

    80.340.3210.340.307

    AIM -blyp6311g

    04590135

    1-0.979-0.963-1.109-0.967

    21.4271.3481.6061.351

    3-0.957-0.904-1.071-0.905

    4-0.957-0.849-0.914-0.882

    50.3520.3380.4020.348

    60.3780.3630.3940.361

    70.3520.3130.3410.35

    80.3780.3470.3430.337

    esp -blyp6311g

    04590135

    1-0.676-0.631-0.747-0.638

    21.111.0581.2321.039

    3-1.1-1.141-1.11-1.071

    4-1.1-1.026-1.135-1.061

    50.4510.460.460.444

    60.440.4580.4440.433

    70.4510.4050.4170.421

    80.440.4180.4380.434

    urea

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea Mulliken Charge with Varying Dihedral via HF6311g

    ethyl formate

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Urea AIM Charge (HF 6311g) with Varied Dihedral Angle

    CN

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea ESP Charge (HF6311g) with Varied Dihedral Angle

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea Mulliken (BLYP6311g) with Varied Dihedral Angles

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea AIM Charges (BLYP6311g) with Varied Dihedral Angles

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0

    45

    90

    135

    Atom Number

    Charge

    Urea ESP Charge (BLYP6311g) with Varied Dihedral Angles

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Urea Mulliken Charge with Hartree-Fock Method at Optimal Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Urea AIM Charge with Hartree-Fock Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Urea AIM Charge with DFT Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Urea Mulliken Charge with DFT Method at Optimal Geometry

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    hfsto3g

    hf321g

    hf631g

    hf6311g

    Atom Number

    Charge

    Urea ESP Charge with Hartree-Fock Method at Optimal Geometry

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    000000

    blypsto3g

    blyp631g

    blyp6311g

    blyp6311g+

    blyp6311g++

    blyp6311g++dp

    Atom Number

    Charge

    Urea Electrostatic Potential Charge with DFT Method at Optimal Geometry

    0Degrees

    Mulliken

    hfsto3ghf321ghf631ghf6311gblypsto3gblyp631gblyp6311gblyp6311g+blyp6311g++blyp6311g++dp

    c10.2640.6480.5860.5310.1640.3610.3090.2450.2350.143

    o2-0.265-0.589-0.536-0.4992-0.233-0.388-0.365-0.379-