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Two-dimensional tungsten disulfide (WS2), as a semiconductor material with unique layer-dependent electronic and optoelectronic characteristics, demonstrates a promising application prospect in the field of optoelectronic devices. The fabrication of wafer-scale monolayer WS2 films is currently a critical challenge that propels their application in advanced transistors and integrated circuits. Chemical vapor deposition (CVD) is a feasible technique for fabricating large-area, high-quality monolayer WS2 films, yet the complexity of its growth process results in low growth efficiency and inconsistent film quality of WS2. In order to guide experimental efforts to diminish grain boundaries in WS2, thereby improving film quality to enhance electronic performance and mechanical stability, this study investigates the nucleation mechanisms of WS2 during CVD growth through first-principles theoretical calculations. By considering chemical potential as a crucial variable, we analyze the growth energy curves of WS2 under diverse experimental conditions. Our findings demonstrate that modulating the temperature or pressure of the tungsten and sulfur precursors can decisively influence the nucleation rate of WS2. Notably, the nucleation rate reaches a peak at a tungsten source temperature of 1250 K, while an increase in sulfur source temperature or a decrease in pressure can suppress the nucleation rate, thereby enhancing the crystallinity and uniformity of monolayer WS2. These insights not only furnish a robust theoretical foundation for experimentally fine-tuning the nucleation rate as needed but also provide strategic guidance for optimizing experimental parameters to refine the crystallinity and uniformity of monolayer WS2 films. Such advancements are expected to accelerate the deployment of WS2 materials in a range of high-performance electronic devices, marking a significant stride in the field of materials science and industrial applications.
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Keywords:
- first-principles calculation /
- growth mechanism /
- chemical vapor deposition /
- two-dimensional tungsten disulfide
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[2] Ovchinnikov D, Allain A, Huang Y S, Dumcenco D, Kis A 2014 ACS Nano 8 8174Google Scholar
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Chen R, Wang Y F, Wang Y X, Liang Q, Xie Q 2022 Acta Phys. Sin. 71 127301Google Scholar
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Google Scholar [22] Loh T A J, Chua D H C, Wee A T S 2015 Sci. Rep. 5 18116Google Scholar
[23] Zeng H L, Liu G B, Dai J F, Yan Y J, Zhu B R, He R C, Xie L, Xu S J, Chen X H, Yao W, Cui X D 2013 Sci. Rep. 3 1608Google Scholar
[24] 王铄, 王文辉, 吕俊鹏, 倪振华 2021 物理学报 70 026802Google Scholar
Wang S, Wang W H, Lü J P, Ni Z H 2021 Acta Phys. Sin. 70 026802Google Scholar
[25] Meng L, Hu S, Yan W, Feng J, Li H, Yan X H 2020 Chem. Phys. Lett. 739 136945Google Scholar
[26] Rong Y M, Fan Y, Leen Koh A, Robertson A W, He K, Wang S S, Tan H J, Sinclair R, Warner J H 2014 Nanoscale 6 12096Google Scholar
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[37] Qiu H, Xu T, Wang Z, Ren W, Nan H Y, Ni Z H, Chen Q, Yuan S J, Miao F, Song F Q, Long G, Shi Y, Sun L T, Wang J L, Wang X R 2013 Nat. Commun. 4 2642Google Scholar
[38] Su L Q, Yu Y F, Cao L Y, Zhang Y 2023 Sci. China Mater. 66 3949Google Scholar
[39] Thangaraja A, Shinde S M, Kalita G, Tanemura M 2015 Mater. Lett. 156 156Google Scholar
[40] Chen J, Shao K, Yang W H, Tang W Q, Zhou J P, He Q M, Wu Y P, Zhang C M, Li X, Yang X, Wu Z M, Kang J Y 2019 ACS Appl. Mater. Interfaces 11 19381Google Scholar
[41] Li C, Yamaguchi Y, Kaneko T, Kato T 2017 Appl. Phys. Express 10 075201Google Scholar
[42] Lan F F, Yang R X, Hao S, Zhou B Z, Sun K W, Cheng H J, Zhang S, Li L J, Jin L 2020 Appl. Surf. Sci. 504 144378Google Scholar
[43] Zhang Q H, Lu J F, Wang Z Y, Dai Z G, Zhang Y P, Huang F Z, Bao Q L, Duan W H, Fuhrer M S, Zheng C X 2018 Adv. Opt. Mater. 6 1701347Google Scholar
[44] Kang K N, Godin K, Yang E H 2015 Sci. Rep. 5 13205Google Scholar
[45] Shi B, Zhou D M, Qiu R S, Bahri M, Kong X D, Zhao H Q, Tlili C, Wang D Q 2020 Appl. Surf. Sci. 533 147479Google Scholar
[46] Yin H, Zhang X D, Lu J W, Geng X M, Wan Y F, Wu M Z, Yang P 2019 J. Mater. Sci 55 990Google Scholar
[47] Li K L, Wang W J 2020 J. Cryst. Growth 540 125645Google Scholar
[48] Dendzik M, Michiardi M, Sanders C, Bianchi M, Miwa J A, Grønborg S S, Lauritsen J V, Bruix A, Hammer B, Hofmann P 2015 Phy. Rev. B 92 245442Google Scholar
[49] Fuchtbauer H G, Tuxen A K, Moses P G, Topsoe H, Besenbacher F, Lauritsen J V 2013 Phys Chem. Chem. Phys. 15 15971Google Scholar
[50] Kresse G, Furthmuller J 1996 Comput. Mater. Sci 6 15Google Scholar
[51] Kresse G, Furthmuller J 1996 Phy. Rev. B 54 11169Google Scholar
[52] Perdew J P, Burke K, Ernzerhof M 1996 Phys. Rev. Lett. 77 3865Google Scholar
[53] Grimme S, Antony J, Ehrlich S, Krieg H 2010 J. Chem. Phys. 132 154104Google Scholar
[54] Blöchl P E 1994 Phy. Rev. B 50 17953Google Scholar
[55] Yue Y C, Chen J C, Zhang Y, Ding S, Zhao F L, Wang Y, Zhang D H, Li R J, Dong H L, Hu W P, Feng Y, Feng W 2018 ACS Appl. Mater. Interfaces 10 22435Google Scholar
[56] Gutiérrez H R, Perea-López N, Elías A L, Berkdemir A, Wang B, Lü R, López-Urías F, Crespi V H, Terrones H, Terrones M 2012 Nano Lett. 13 3447Google Scholar
[57] Misawa M, Tiwari S, Hong S, Krishnamoorthy A, Shimojo F, Kalia R K, Nakano A, Vashishta P 2017 J. Phys. Chem. Lett. 8 6206Google Scholar
[58] Gao J F, Yuan Q H, Hu H, Zhao J, Ding F 2011 J. Phys. Chem. C 115 17695Google Scholar
[59] Zhang W H, Wu P, Li Z Y, Yang J L 2011 J. Phys. Chem. C 115 17782Google Scholar
[60] Li X B, Zhang J B, Zhou N, Xu H, Yang R S 2021 ACS Appl. Electron. Mater. 3 5138Google Scholar
[61] Gao J F, Yip J, Zhao J, Yakobson B I, Ding F 2011 J. Am. Chem. Soc. 133 5009Google Scholar
[62] Regmi M, Chisholm M F, Eres G 2012 Carbon 50 134Google Scholar
[63] Lan S G, Zhang Z X, Hong Y K, She Y H, Pan B J, Xu Y, Wang P J 2023 Adv. Mater. Interfaces 10 2300713Google Scholar
[64] 刘兆肃, 刘国濠, 叶晓宜, 张仕源, 郑晓婷, 劳媚媚, 徐海涛 2021 材料研究与应用 15 486Google Scholar
Liu Z S, Liu G H, Ye X Y, Zhang S Y, Zheng X T, Lao M M, Xu H T 2021 Mater. Res. Appl. 15 486Google Scholar
[65] Babu Shinde N, Deul Ryu B, Hong C H, Francis B, Chandramohan S, Kumar Eswaran S 2021 Appl. Surf. Sci. 568 150908Google Scholar
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图 1 (a)以W或S边终结的三角形WS2团簇的形成能(Ef)与其尺寸大小(N)的关系, $ {E_{\text{f}}} = {E_{{\text{tot}}}} - {N_{\text{W}}} \cdot {\mu _{{\text{W(ref)}}}} - {N_{\text{S}}} \cdot {\mu _{{\text{S(ref)}}}} $, 其中$ {E_{{\text{tot}}}} $为WS2整体能量, $ {N_{\text{W}}} $和$ {N_{\text{S}}} $分别为W, S原子数, $ {\mu _{{\text{W(ref)}}}} $, $ {\mu _{{\text{S(ref)}}}} $分别为W, S前驱体的参考化学势. (b), (c) Au(111)表面S边终结的WS2团簇的形成能及其线性拟合
Figure 1. (a) Forming energy (Ef) versus size (N) of triangular WS2 clusters terminated with W or S edge, $ {E_{\text{f}}} = {E_{{\text{tot}}}} - {N_{\text{W}}} \cdot {\mu _{{\text{W(ref)}}}} - $$ {N_{\text{S}}} \cdot {\mu _{{\text{S(ref)}}}} $, where $ {E_{{\text{tot}}}} $ is the overall energy of WS2, $ {N_{\text{W}}} $ and $ {N_{\text{S}}} $ are the number of atoms W and S respectively, $ {\mu _{{\text{W(ref)}}}} $ and $ {\mu _{{\text{S(ref)}}}} $ are the reference chemical potential of W and S precursors respectively. (b), (c) Formation energy and linear fitting of WS2 clusters terminated with S edge on Au(111) surface.
图 4 Au(111)表面 WS2团簇的成核速率与不同实验条件的关系 (a) T(W); (b) T(S); (c) P(S)/P0. 纵坐标为log10刻度类型, 红色虚线标注为T(W) = 1300 K, T(S) = 500 K, P(S) = 763.10 Pa实验条件下WS2团簇的成核速率
Figure 4. Nucleation rates of WS2 clusters on Au(111) surface under different experimental conditions: (a) T(W); (b) T(S); (c) P(S)/P0. Scale of the vertical axis in the graph is non-linear and is of the log10 type, and the red dotted lines indicate the nucleation rates of WS2 clusters under experimental conditions of T(W) = 1300 K, T(S) = 500 K and P(S) = 763.10 Pa.
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[1] Zhao W J, Ghorannevis Z, Chu L Q, Toh M L, Kloc C, Tan P H, Eda G 2013 ACS Nano 7 791Google Scholar
[2] Ovchinnikov D, Allain A, Huang Y S, Dumcenco D, Kis A 2014 ACS Nano 8 8174Google Scholar
[3] Ding D G, Wang S, Xia Y P, Li P, He D L, Zhang J Q, Zhao S W, Yu G H, Zheng Y H, Cheng Y, Xie M H, Ding F, Jin C H 2022 ACS Nano 16 17356Google Scholar
[4] Falin A, Holwill M, Lü H F, Gan W, Cheng J, Zhang R, Qian D, Barnett M R, Santos E J G, Novoselov K S, Tao T, Wu X J, Lu H L 2021 ACS Nano 15 2600Google Scholar
[5] 陈蓉, 王远帆, 王熠欣, 梁前, 谢泉 2022 物理学报 71 127301Google Scholar
Chen R, Wang Y F, Wang Y X, Liang Q, Xie Q 2022 Acta Phys. Sin. 71 127301Google Scholar
[6] Mahler B, Hoepfner V, Liao K, Ozin G A 2014 J. Am. Chem. Soc. 136 14121Google Scholar
[7] Kuc A, Zibouche N, Heine T 2011 Phy. Rev. B 83 245213Google Scholar
[8] Wu J M, Li L H, Zheng W H, Zheng B Y, Xu Z Y, Zhang X H, Zhu C G, Wu K, Zhang C, Jiang Y 2022 Chin. Phys. B 31 057803Google Scholar
[9] Huo N J, Yang S X, Wei Z M, Li S S, Xia J B, Li J B 2014 Sci. Rep. 4 5209Google Scholar
[10] Chernikov A, Ruppert C, Hill H M, Rigosi A F, Heinz T F 2015 Nat. Photonics 9 466Google Scholar
[11] Bin Rafiq M K S, Amin N, Alharbi H F, Luqman M, Ayob A, Alharthi Y S, Alharthi N H, Bais B, Akhtaruzzaman M 2020 Sci. Rep. 10 771Google Scholar
[12] Han L X, Yang M, Wen P T, Gao W, Huo N J, Li J B 2021 Nanoscale. Adv. 3 2657Google Scholar
[13] Pawbake A S, Waykar R G, Late D J, Jadkar S R 2016 ACS Appl. Mater. Interfaces 8 3359Google Scholar
[14] Wang H C, Lin Y H, Liu X, Deng X H, Ben J W, Yu W J, Zhu D L, Liu X K 2023 Chin. Phys. B 32 018504Google Scholar
[15] Chakraborty B, Gu J, Khatoniar M, Menon V M 2019 2019 Conference on Lasers and Electro-Optics IEEE Munich, Germany, June 23–27, 2019
[16] Xu Z Q, Zhang Y P, Lin S H, Zheng C X, Zhong Y L, Xia X, Li Z P, Sophia P J, Fuhrer M S, Cheng Y B, Bao Q L 2015 ACS Nano 9 6178Google Scholar
[17] Wan Y, Li E, Yu Z H, Huang J K, Li M Y, Chou A S, Lee Y T, Lee C J, Hsu H C, Zhan Q, Aljarb A, Fu J H, Chiu S P, Wang X R, Lin J J, Chiu S P, Chang W H, Wang H, Shi Y, Lin N, Cheng Y C, Tung V, Li L J 2022 Nat. Commun. 13 4149Google Scholar
[18] Zribi R, Crispi S, Giusi D, Zhukush M, Ampelli C, Shen C, Raza M H, Pinna N, Neri G 2024 ACS Appl. Nano Mater. 7 4998Google Scholar
[19] Georgiou T, Jalil R, Belle B D, Britnell L, Gorbachev R V, Morozov S V, Kim Y J, Gholinia A, Haigh S J, Makarovsky O, Eaves L, Ponomarenko L A, Geim A K, Novoselov K S, Mishchenko A 2012 Nat. Nanotechnol. 8 100Google Scholar
[20] Xu Z H, Lü Y F, Li J Z, Huang F, Nie P B, Zhang S W, Zhao S C, Zhao S X, Wei G D 2019 RSC Adv. 9 29628Google Scholar
[21] Chubarov M, Choudhury T H, Hickey D R, Bachu S, Zhang T, Sebastian A, Bansal A, Zhu H, Trainor N, Das S, Terrones M, Alem N, Redwing J M 2021 ACS Nano 15 2532
Google Scholar [22] Loh T A J, Chua D H C, Wee A T S 2015 Sci. Rep. 5 18116Google Scholar
[23] Zeng H L, Liu G B, Dai J F, Yan Y J, Zhu B R, He R C, Xie L, Xu S J, Chen X H, Yao W, Cui X D 2013 Sci. Rep. 3 1608Google Scholar
[24] 王铄, 王文辉, 吕俊鹏, 倪振华 2021 物理学报 70 026802Google Scholar
Wang S, Wang W H, Lü J P, Ni Z H 2021 Acta Phys. Sin. 70 026802Google Scholar
[25] Meng L, Hu S, Yan W, Feng J, Li H, Yan X H 2020 Chem. Phys. Lett. 739 136945Google Scholar
[26] Rong Y M, Fan Y, Leen Koh A, Robertson A W, He K, Wang S S, Tan H J, Sinclair R, Warner J H 2014 Nanoscale 6 12096Google Scholar
[27] Richey N E, Haines C, Tami J L, McElwee-White L 2017 Chem. Commun. 53 7728Google Scholar
[28] Xie Y, Ma X H, Wang Z, Nan T, Wu R X, Zhang P, Wang H L, Wang Y B, Zhan Y J, Hao Y 2018 MRS Adv. 3 365Google Scholar
[29] Cong C X, Shang J Z, Wu X, Cao B C, Peimyoo N, Qiu C Y, Sun L T, Yu T 2013 Adv. Opt. Mater. 2 131Google Scholar
[30] Gao Y, Liu Z B, Sun D M, Huang L, Ma L P, Yin L C, Ma T, Zhang Z Y, Ma X L, Peng L M, Cheng H M, Ren W C 2015 Nat. Commun. 6 8569Google Scholar
[31] Zhang G X, Wang C X, Yan B, Ning B, Zhao Y, Zhou D H, Shi X, Chen S K, Shen J, Xiao Z Y, Zhao H Q 2022 J. Mater. Sci. Mater. Electron. 33 22560Google Scholar
[32] Liu P, Li X X, Ai H X, Shen Y, Deng J, Ding X L, Wang W J 2023 J. Phys. Chem. C 127 21204Google Scholar
[33] Huang L Y, Li M Y, Liew S L, Lin S C, Chou A S, Hsu M C, Hsu C H, Lin Y T, Mao P S, Hou D H, Liu W C, Wu C I, Chang W H, Wang H, Li L J, Wei K H 2023 ACS Mater. Lett. 5 1760Google Scholar
[34] Yang W H, Mu Y B, Chen X S, Jin N J, Song J H, Chen J J, Dong L X, Liu C R, Xuan W P, Zhou C J, Cong C X, Shang J S, He S L, Wang G F, Li J 2023 Discov. Nano 18 13Google Scholar
[35] Wang J H, Xu X Z, Cheng T, Gu L H, Qiao R X, Liang Z h, Ding D, Hong H, Zheng P M, Zhang Z B, Zhang Z H, Zhang S, Cui G L, Chang C, Huang C, Qi J, Liang J, Liu C, Zuo Y G, Xue G D, Fang X J, Tian J P, Wu M H, Guo Y, Yao Z X, Jiao Q Z, Liu L, Gao P, Li Q Y, Yang R, Zhang G Y, Tang Z X, Yu D P, Wang E, Lu J M, Zhao Y, Wu S W, Ding F, Liu K H 2022 Nat. Nanotechnol. 17 33Google Scholar
[36] Zhou W, Zou X, Najmaei S, Liu Z, Shi Y, Kong J, Lou J, Ajayan P M, Yakobson B I, Idrobo J C 2013 Nano Lett. 13 2615Google Scholar
[37] Qiu H, Xu T, Wang Z, Ren W, Nan H Y, Ni Z H, Chen Q, Yuan S J, Miao F, Song F Q, Long G, Shi Y, Sun L T, Wang J L, Wang X R 2013 Nat. Commun. 4 2642Google Scholar
[38] Su L Q, Yu Y F, Cao L Y, Zhang Y 2023 Sci. China Mater. 66 3949Google Scholar
[39] Thangaraja A, Shinde S M, Kalita G, Tanemura M 2015 Mater. Lett. 156 156Google Scholar
[40] Chen J, Shao K, Yang W H, Tang W Q, Zhou J P, He Q M, Wu Y P, Zhang C M, Li X, Yang X, Wu Z M, Kang J Y 2019 ACS Appl. Mater. Interfaces 11 19381Google Scholar
[41] Li C, Yamaguchi Y, Kaneko T, Kato T 2017 Appl. Phys. Express 10 075201Google Scholar
[42] Lan F F, Yang R X, Hao S, Zhou B Z, Sun K W, Cheng H J, Zhang S, Li L J, Jin L 2020 Appl. Surf. Sci. 504 144378Google Scholar
[43] Zhang Q H, Lu J F, Wang Z Y, Dai Z G, Zhang Y P, Huang F Z, Bao Q L, Duan W H, Fuhrer M S, Zheng C X 2018 Adv. Opt. Mater. 6 1701347Google Scholar
[44] Kang K N, Godin K, Yang E H 2015 Sci. Rep. 5 13205Google Scholar
[45] Shi B, Zhou D M, Qiu R S, Bahri M, Kong X D, Zhao H Q, Tlili C, Wang D Q 2020 Appl. Surf. Sci. 533 147479Google Scholar
[46] Yin H, Zhang X D, Lu J W, Geng X M, Wan Y F, Wu M Z, Yang P 2019 J. Mater. Sci 55 990Google Scholar
[47] Li K L, Wang W J 2020 J. Cryst. Growth 540 125645Google Scholar
[48] Dendzik M, Michiardi M, Sanders C, Bianchi M, Miwa J A, Grønborg S S, Lauritsen J V, Bruix A, Hammer B, Hofmann P 2015 Phy. Rev. B 92 245442Google Scholar
[49] Fuchtbauer H G, Tuxen A K, Moses P G, Topsoe H, Besenbacher F, Lauritsen J V 2013 Phys Chem. Chem. Phys. 15 15971Google Scholar
[50] Kresse G, Furthmuller J 1996 Comput. Mater. Sci 6 15Google Scholar
[51] Kresse G, Furthmuller J 1996 Phy. Rev. B 54 11169Google Scholar
[52] Perdew J P, Burke K, Ernzerhof M 1996 Phys. Rev. Lett. 77 3865Google Scholar
[53] Grimme S, Antony J, Ehrlich S, Krieg H 2010 J. Chem. Phys. 132 154104Google Scholar
[54] Blöchl P E 1994 Phy. Rev. B 50 17953Google Scholar
[55] Yue Y C, Chen J C, Zhang Y, Ding S, Zhao F L, Wang Y, Zhang D H, Li R J, Dong H L, Hu W P, Feng Y, Feng W 2018 ACS Appl. Mater. Interfaces 10 22435Google Scholar
[56] Gutiérrez H R, Perea-López N, Elías A L, Berkdemir A, Wang B, Lü R, López-Urías F, Crespi V H, Terrones H, Terrones M 2012 Nano Lett. 13 3447Google Scholar
[57] Misawa M, Tiwari S, Hong S, Krishnamoorthy A, Shimojo F, Kalia R K, Nakano A, Vashishta P 2017 J. Phys. Chem. Lett. 8 6206Google Scholar
[58] Gao J F, Yuan Q H, Hu H, Zhao J, Ding F 2011 J. Phys. Chem. C 115 17695Google Scholar
[59] Zhang W H, Wu P, Li Z Y, Yang J L 2011 J. Phys. Chem. C 115 17782Google Scholar
[60] Li X B, Zhang J B, Zhou N, Xu H, Yang R S 2021 ACS Appl. Electron. Mater. 3 5138Google Scholar
[61] Gao J F, Yip J, Zhao J, Yakobson B I, Ding F 2011 J. Am. Chem. Soc. 133 5009Google Scholar
[62] Regmi M, Chisholm M F, Eres G 2012 Carbon 50 134Google Scholar
[63] Lan S G, Zhang Z X, Hong Y K, She Y H, Pan B J, Xu Y, Wang P J 2023 Adv. Mater. Interfaces 10 2300713Google Scholar
[64] 刘兆肃, 刘国濠, 叶晓宜, 张仕源, 郑晓婷, 劳媚媚, 徐海涛 2021 材料研究与应用 15 486Google Scholar
Liu Z S, Liu G H, Ye X Y, Zhang S Y, Zheng X T, Lao M M, Xu H T 2021 Mater. Res. Appl. 15 486Google Scholar
[65] Babu Shinde N, Deul Ryu B, Hong C H, Francis B, Chandramohan S, Kumar Eswaran S 2021 Appl. Surf. Sci. 568 150908Google Scholar
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