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Table 2 Quality criteria and statistical criteria for all the QSPR models analyzed in the present study and focused on phenols

From: Predicting pK a values from EEM atomic charges

QM theory level

PA

EEM parameter

QSPR model

R 2

RMSE

Δ ¯

s

F

+ basis set

 

set name

      

HF/STO-3G

MPA

-

3d QM

0.9515

0.490

0.388

0.504

458

  

-

5d QM

0.9657

0.412

0.310

0.430

358

  

Svob2007_cbeg2

3d EEM

0.8671

0.812

0.571

0.835

152

   

3d EEM WO

0.9239

0.482

0.382

0.497

255

   

5d EEM

0.9179

0.638

0.481

0.666

152

  

Svob2007_cmet2

3d EEM

0.8663

0.814

0.577

0.837

151

   

3d EEM WO

0.9239

0.482

0.386

0.497

255

   

5d EEM

0.9189

0.634

0.476

0.661

154

  

Svob2007_chal2

3d EEM

0.8737

0.792

0.554

0.814

161

   

3d EEM WO

0.9127

0.483

0.387

0.498

220

   

5d EEM

0.9203

0.629

0.473

0.656

157

  

Svob2007_hm2

3d EEM

0.8671

0.812

0.578

0.835

152

   

3d EEM WO

0.9241

0.481

0.387

0.496

256

   

5d EEM

0.9179

0.638

0.478

0.666

152

  

Baek1991

3d EEM

0.9099

0.669

0.531

0.688

236

   

3d EEM WO

0.9166

0.531

0.423

0.548

231

   

5d EEM

0.9195

0.632

0.493

0.659

155

  

Mort1986

3d EEM

0.8860

0.752

0.577

0.773

181

   

3d EEM WO

0.9151

0.520

0.405

0.536

226

   

5d EEM

0.9142

0.652

0.524

0.680

145

HF/6–31G*

MK

-

3d QM

0.8405

0.890

0.727

0.915

123

  

-

5d QM

0.8865

0.750

0.641

0.782

106

  

Jir2008_hf

3d EEM

0.8612

0.830

0.582

0.853

145

   

3d EEM WO

0.9182

0.500

0.394

0.516

236

   

5d EEM

0.9154

0.648

0.488

0.676

147

B3LYP/6–31G*

MPA

-

3d QM

0.9671

0.404

0.317

0.415

686

  

-

5d QM

0.9724

0.370

0.274

0.386

479

  

Chaves2006

3d EEM

0.891

0.735

0.570

0.756

191

   

3d EEM WO

0.9198

0.505

0.398

0.521

241

   

5d EEM

0.9192

0.633

0.489

0.660

155

  

Bult2002_mul

3d EEM

0.8876

0.747

0.589

0.768

184

   

3d EEM WO

0.9151

0.520

0.416

0.536

226

   

5d EEM

0.9158

0.646

0.504

0.674

148

B3LYP/6–31G*

NPA

-

3d QM

0.9590

0.451

0.349

0.464

546

  

-

5d QM

0.9680

0.399

0.295

0.416

411

  

Ouy2009

3d EEM

0.8731

0.793

0.541

0.815

161

   

3d EEM WO

0.9043

0.505

0.379

0.521

198

   

5d EEM

0.9094

0.670

0.503

0.699

137

  

Ouy2009_elem

3d EEM

0.8727

0.795

0.546

0.817

160

   

3d EEM WO

0.9113

0.487

0.382

0.502

216

   

5d EEM

0.9132

0.656

0.495

0.684

143

  

Ouy2009_elemF

3d EEM

0.8848

0.756

0.519

0.777

179

   

3d EEM WO

0.9012

0.512

0.386

0.528

192

   

5d EEM

0.8866

0.750

0.520

0.782

106

  

Bult2002_npa

3d EEM

0.9044

0.689

0.532

0.708

221

   

3d EEM WO

0.9098

0.523

0.405

0.539

212

   

5d EEM

0.9180

0.638

0.488

0.666

152

 

Hir.

-

3d QM

0.9042

0.689

0.503

0.708

220

  

-

5d QM

0.9477

0.509

0.356

0.531

246

  

Bult2002_hir

3d EEM

0.8415

0.887

0.636

0.912

124

   

3d EEM WO

0.8838

0.579

0.414

0.597

160

   

5d EEM

0.9050

0.687

0.522

0.717

130

 

MK

-

3d QM

0.8447

0.878

0.705

0.903

127

  

-

5d QM

0.8960

0.718

0.594

0.749

117

  

Jir2008_dft

3d EEM

0.8696

0.804

0.555

0.827

156

   

3d EEM WO

0.9224

0.487

0.371

0.502

250

   

5d EEM

0.9148

0.650

0.489

0.678

146

  

Bult2002_mk

3d EEM

0.8639

0.822

0.610

0.845

148

   

3d EEM WO

0.9053

0.519

0.384

0.535

201

   

5d EEM

0.9131

0.657

0.508

0.685

143

 

Chel.

-

3d QM

0.8528

0.854

0.712

0.878

135

  

-

5d QM

0.9087

0.673

0.552

0.702

135

  

Bult2002_che

3d EEM

0.8695

0.805

0.597

0.828

155

   

3d EEM WO

0.8863

0.588

0.436

0.606

164

   

5d EEM

0.9057

0.684

0.540

0.714

131

 

AIM

-

3d QM

0.9609

0.440

0.332

0.452

573

  

-

5d QM

0.9677

0.400

0.285

0.417

407

  

Bult2004_aim

3d EEM

0.8646

0.819

0.619

0.842

149

   

3d EEM WO

0.8972

0.590

0.438

0.608

183

   

5d EEM

0.9017

0.698

0.571

0.728

125