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Table 2 Comparison of observed (Expt 1 = [45]; Expt 2 = [38]) and calculated IR frequencies for bulk α-FeOOH.

From: Periodic density functional theory calculations of bulk and the (010) surface of goethite

Mode

Calca

Calcb,c

Calcd

Expt 1

Expt 2

cm-1

(cm-1)

(cm-1)

(cm-1)

(cm-1)

(cm-1)

O-H

3416

3400

3227

3140

3200

O-H

3411

3391

3217

  

O-H

3404

3385

3213

  

O-H

3396

3373

3206

  

δ(OH)

954

974

1011

 

1000

δ(OH)

930

966

1007

  

δ(OH)

901

958

958

  

δ(OH)

896

911

956

  

γ(OH)

839

857

934

893

887

γ(OH)

810

848

896

  

γ(OH)

806

830

892

  

γ(OH)

797

819

888

793

 

Fe-Os

599

576

640

620

610

Fe-Os

547

567

623

  

Fe-Os

525

558

540

  

Fe-Os

482

547

538

  

δ(Fe-O-Fe)

467

477

526

495

 

δ(Fe-O-Fe)

424

461

481

  

δ(Fe-O-Fe)

417

453

459

  

δ(Fe-O-Fe)

395

441

442

  

Fe-Oas

391

426

410

405

 

Fe-Oas

376

413

405

  

Fe-Oas

371

397

401

  

Fe-Oas

357

413

399

  

O lattice

348

379

396

  

O lattice

345

372

395

  

O lattice

343

365

380

  

O lattice

321

361

375

  

Fe-O-Fe

309

354

360

  

Fe-O-Fe

293

338

334

  

Fe-O-Fe

284

328

307

  

Fe-O-Fe

268

314

301

  

Fe-O-Fe

258

309

293

  

Fe-O-Fe

254

301

288

  

Fe-O-Fe

242

287

270

  

Fe-O-Fe

228

274

266

  

Fe---Fe

223

262

255

  

Fe---Fe

211

246

241

  

Fe---Fe

179

243

237

  

Fe---Fe

174

240

206

  

FeO6 rock

143

230

185

  

FeO6

108

210

163

  

FeO6

78

177

132

  

FeO6

69

164

117

  

Tunnel Distortion

24

143

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  1. a = 1 × 1 × 1 unit cell; b = 1 × 3 × 2 supercell; c = average of 6 frequencies; d = 1 × 1 × 1 unit cell with SP-GGA+U.