Supporting Information Raman Signatures of Polytypism in ...

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Supporting Information Raman Signatures of Polytypism in Molybdenum Disulfide Jae-Ung Lee,† Kangwon Kim,† Songhee Han,† Gyeong Hee Ryu,‡ Zonghoon Lee,‡ and Hyeonsik Cheong†,* †

Department of Physics, Sogang University, Seoul 04107, Korea



School of Materials Science and Engineering, Ulsan National Institute of Science and

Technology (UNIST), Ulsan 44919, Korea

Contents:  Figure S1. Crystal structures of different polytypes of 3TL-MoS2.  Table S1. Space group and Raman tensors for polytypes of 3TL-MoS2.  Figure S2. Large area HR-TEM images of 2H- and 3R-MoS2.  Figure S3. Optical microscope images of 3R and mixed phase samples.  Figure S4. Comparison of the PL spectra as a function of the number of TLs with different stacking orders.  Figure S5. Peak positions of Raman modes as a function of the number of TLs with different stacking orders.  Figure S6. Raman spectra of various few-layer MoS2 samples with different stacking orders.

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Figure S1. Crystall structures of differentt polytypes of 3TL-MooS2. (a-f) sidde view andd (g-l) top view.

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Table 1. Space group and Raman tensors of polytypes of 3TL-MoS2. 2H Space group Point group

Raman tensors

Shear modes

Breathing modes

3R-3

3R-4

Mixed (2H-3R)

3R-1

3R-2

No. 187, hexagonal P 6 m 2

No. 156, trigonal P3m1

D3h

C3v

 a 0 0   A :  0 a 0  ; 0 0 b    0 0 0   0 0 c      E  :  0 0 c  ,  0 0 0  ;  0 c 0   c 0 0       d 0 0   0 d 0      E  :  0 d 0  ,  d 0 0  .  0 0 0  0 0 0     Shear 2 Shear 1 (~17 cm–1) (~28 cm–1) E  , Raman active, E  , Raman active forbidden in backscattering Breathing 1 Breathing 2 (~28 cm–1) : (~50 cm–1) : A , Raman active

Raman inactive

a  A1 :  0 0  0  E : c d 

0 0  a 0; 0 b  c d  c 0 0    0 0  ,  0 c d  . 0 0   0 d 0 

Shear 1 (~28 cm–1)

Shear 2 (~17 cm–1)

E, Raman active

E, Raman active

Breathing 1 (~28 cm–1) :

Breathing 2 (~50 cm–1) :

A1 , Raman active

A1 , Raman active

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M images of 3TL-MoS S2 with (a) 2H and (b) 3R stacking orders. Figure S2. Large area HR-TEM

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mixed-phasee MoS2 sam mples. The nnumber of Figure S3. Opticall microscoppe images oof 3R and m m for selected s areeas. The red rectangle inndicates thee area wheree the HR-TE EM image TLs is marked was obttained. The area of mixxed-phase M MoS2 in sam mple E is inndicated in the lower leeft image. The edgge of the mixxed phase area a and thatt of the 3R aarea make 660°.

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Figure S4. PL specctra of few--layer MoS2 with differrent stackinng orders forr thickness from 2TL m w with the exciitation energgy of 2.41 eV V. to 7TL measured

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( breathing, and (c) m main modess as a functtion of the Figure S5. Peak ppositions of (a) shear, (b) number of TLs. Sam mples with different staacking orderrs are markeed with diffferent symbools.

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Figure S6. Ramann spectra off various feew-layer M MoS2 samplees measuredd with the excitation energy oof 2.41 eV. The samplee flakes (A-G) in Fig. S S3 are indicaated. The sppectra from the mixed phase arrea of sampple E are maarked as ‘M Mixed’, wherreas the speectra with m mixed characcters from other saamples are m marked as ‘nnon-2H’.

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