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Table 4 Comparison of observed and calculated IR frequencies for the solvated α-FeOOH surface (1 × 1 surface unit cell).

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

Mode

Calc1

Calc2

Experimental

 

(cm-1)

(cm-1)

(cm-1)

L2 O-H

3668

3682

3660a

δO2-H

3667

3669

 

L1 O-H

3663

3664

3590a 3160b,c

L2 O-H

3647

3641

 

L2 O-H

3522

3516

 

L2 O-H

3497

3495

3515a

L2 O-H

3423

3434

 

L1+L2 O-H

3377

3379

3380a

L2 O-H

3362

3282

 

L1 O-H

3337

3218

 

L2 O-H

3319

3185

 

δO2-H+L1 O-H

3259

3179

3200a

L3O-H

3184

3161

 

δO2-H

3127

3061

3160a

L1+L2 O-H

3079

2994

3130a

L3 O-H

2977

2968

 

δO2-H+L3 O-H

2870

2940

 

L1 O-H

2779

2928

 

L1 O-H

2675

2725

 

δO2-H+L3 O-H

2369

2668

 

L1 H-O-H

1761

1739

 

δO2-H+L3 H-O-H

1660

1655

 

δO2-H+L2 H-O-H

1628

1633

 

δO2-H+L1 H-O-H

1623

1609

 

δO2-H+L3 H-O-H

1610

1606

 

δO2-H+L2 H-O-H

1583

1563

 

δO2-H+L1 H-O-H

1572

1554

 

δO2-H+L3 H-O-H

1567

1546

 

δ(OH) L3

1277

1223

 

δ(OH) L1

1190

1160

1120d

δ(OH) L1

1108

1153

 

δ(OH) O2+L1+L2+L3

1051

1546

 

δ(OH) O2+L2+L3

1035

1223

 

δ(OH) O2+L2

1019

1160

 

δ(OH) L2+L3

1000

1152

 

δ(OH) L1+L2

991

1143

 

δ(OH) O2+L2

958

1087

 

δ(OH) L3

949

1083

 

δ(OH) L1+L2

941

1071

900e

δ(OH) L1+L2

811

1038

880f, 885e

δ(OH) L1+L2

886

1035

 

δ(OH) L2+L3

873

1031

 

δ(OH) L2+L3

868

1024

 

δ(OH) L2+L3

855

987

 

δ(OH) L2+L3

834

967

 

δ(OH) L2+L3

821

917

 

δ(OH) L1+L2

811

850

805e

δ(OH) L1+L2

781

830

790e, 797e,

δ(OH) L1+L2

726

814

620 (sh)f

 

688

803

 
 

665

762

 
 

640

719

 
 

629

701

 
 

613

689

 
 

603

673

 
  

635

 
  

629

 
  

624

 
  

621

 
  1. Values denoted with an * are the average of two closely-spaced frequencies. Calc1 from the 1 × 1 surface cell SP-GGA and Calc2 from SP-GGA+U results, respectively.
  2. a. [46]
  3. b. [47]
  4. c. [48]
  5. d. [49]
  6. e. [50]
  7. f. [51]