Melting point depression of nanosolids: Nonextensive thermodynamics approach

Physical Review B - Condensed Matter and Materials Physics

Volumn 76, Issue 4, 2007, Pages

  Letellier, Pierre ^a   Mayaffre, Alain ^a   Turmine, Mireille ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34547530159     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.76.045428     Document Type: Article

References (63)

1. P. Pawlow, Z. Phys. Chem., Stoechiom. Verwandtschaftsl. ZEPCAC 0372-8501 65, 1 (1909).
2. R. Defay, Etude Thermodynamique de la Tension Superficielle (Gauthier-Villars, Paris, 1934).
3. R. Defay and I. Prigogine, Surface Tension and Adsorption (Longmans, Green, London, 1966), Chap., p. 269.
4. D. Avnir and M. Jaroniec, Langmuir LANGD5 0743-7463 10.1021/la00090a032 5, 1431 (1989).
5. D. Avnir and P. Pfeifer, Nouv. J. Chim. NJCHD4 0398-9836 7, 71 (1983).
6. P. Pfeifer and D. Avnir, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.446210 79, 3558 (1983).
7. M. Jaroniec, X. Lu, R. Madey, and D. Avnir, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.458196 92, 7589 (1990).
8. Q. Jiang, S. Zhang, and M. Zhao, Mater. Chem. Phys. MCHPDR 0254-0584 10.1016/S0254-0584(03)00201-3 82, 225 (2003).
9. M. K. Zayed, M. S. Hegazy, and H. E. Elsayed-Ali, Thin Solid Films THSFAP 0040-6090 10.1016/j.tsf.2003.10.155 449, 254 (2004).
10. H. W. Sheng, K. Lu, and E. Ma, Nanostruct. Mater. NMAEE7 0965-9773 10.1016/S0965-9773(98)00122-6 10, 865 (1998).
11. B. F. Borisov, A. V. Gartvik, F. V. Nikulin, and E. V. Charnaya, Acoust. Phys. AOUSEK 1063-7710 10.1134/S1063771006020047 52, 138 (2006).
12. Q. Jiang, C. C. Yang, and J. C. Li, Mater. Lett. MLETDJ 0167-577X 56, 1019 (2002).
13. M. Zhang, M. Y. Efremov, F. Schiettekatte, E. A. Olson, A. T. Kwan, S. L. Lai, T. Wisleder, J. E. Greene, and L. H. Allen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.10548 62, 10548 (2000).
14. M. Wautelet, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(98)00538-6 246, 341 (1998).
15. W. H. Qi and M. P. Wang, Mater. Chem. Phys. MCHPDR 0254-0584 88, 280 (2004).
16. Y. H. Wena, Z. Z. Zhu, R. Zhu, and G. F. Shao, Physica E (Amsterdam) PELNFM 1386-9477 10.1016/j.physe.2004.06.048 25, 47 (2004).
17. G. Guisbiers and M. Wautelet, Nanotechnology NNOTER 0957-4484 10.1088/0957-4484/17/8/036 17, 2008 (2006).
18. H. K. Christenson, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/13/11/201 13, R95 (2001).
19. F. Delogu, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp0554902 109, 21938 (2005).
20. G. Bertsch, Science SCIEAS 0036-8075 10.1126/science.277.5332.1619 277, 1619 (1997).
21. H. P. Cheng and R. S. Berry, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.7969 45, 7969 (1992).
22. Z. Shi, P. Wynblatt, and S. G. Srinivasan, Acta Mater. ACMAFD 1359-6454 10.1016/j.actamat.2004.01.021 52, 2305 (2004).
23. K. K. Nanda, Eur. J. Phys. EJPHD4 0143-0807 10.1088/0143-0807/19/5/012 19, 471 (1998).
24. S. J. Zhao, S. Q. Wang, D. Y. Cheng, and H. Q. Ye, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp012638i 105, 12857 (2001).
25. K. K. Nanda, Chem. Phys. Lett. CHPLBC 0009-2614 419, 195 (2006).
26. M. Turmine, A. Mayaffre, and P. Letellier, J. Phys. Chem. B JPCBFK 1089-5647 108, 18980 (2004).
27. T. L. Hill, Nano Lett. NALEFD 1530-6984 10.1021/nl010027w 1, 273 (2001).
28. I. Prigogine and R. Defay, Thermodynamique Chimique (Dunod, Paris, 1944), Tome I, p. 10.
29. In physics, there are several developments of nonextensive thermodynamics using conventions in which the temperature is considered as nonintensive variable: S. Abe, S. Martinez, F. Pennini, and A. Plastino, Phys. Lett. A PYLAAG 0375-9601 261, 534 (1998);
30. R. Toral, Physica A PHYADX 0378-4371 10.1016/S0378-4371(02)01313-4 317, 209 (2003).
31. W. Ostwald, Z. Phys. Chem., Stoechiom. Verwandtschaftsl. ZEPCAC 0372-8501 34, 495 (1900).
32. H. Freundlich, Kolloidchemie (Akademischer, Leipzig, 1909).
33. D. Y. Kwok and A. W. Neumann, Adv. Colloid Interface Sci. ACISB9 0001-8686 10.1016/S0001-8686(98)00087-6 81, 167 (1999).
34. D. Y. Kwok and A. W. Neumann, Colloids Surf., A CPEAEH 0927-7757 10.1016/S0927-7757(99)00323-4 161, 31 (2000).
35. K. Graf and H. Riegler, Langmuir LANGD5 0743-7463 16, 5187 (2000).
36. N. X. Sun, H. Lu, and Y. C. Zhou, Philos. Mag. Lett. PMLEEG 0950-0839 76, 105 (1997).
37. Z. Zhang, J. C. Li, and Q. Jiang, J. Phys. D JPAPBE 0022-3727 10.1088/0022-3727/33/20/318 33, 2653 (2000).
38. K. Lu and Z. H. Jin, Curr. Opin. Solid State Mater. Sci. COSSFX 1359-0286 10.1016/S1359-0286(00)00027-9 5, 39 (2001).
39. T. Ben David, Y. Lereah, G. Deutscher, R. Kofman, and P. Cheyssac, Philos. Mag. A PMAADG 0141-8610 71, 1135 (1995).
40. W. H. Qi, Physica B PHYBE3 0921-4526 368, 46 (2005).
41. S. L. Lai, J. Y. Guo, V. Petrova, G. Ramanath, and L. H. Allen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.99 77, 99 (1996).
42. X. W. Wang, G. T. Fei, K. Zheng, Z. Jin, and L. D. Zhang, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2199469 88, 173114 (2006).
43. E. A. Olson, M. Y. Efremov, M. Zhang, Z. Zhang, and L. H. Allen, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1832741 97, 034304 (2005).
44. T. Unruh, H. Bunjes, K. Westesen, and M. H. J. Koch, Colloid Polym. Sci. CPMSB6 0303-402X 279, 398 (2001).
45. L. Grabaek, J. Bohr, E. Johnson, A. Johansen, L. Sarholt-Kristensen, and H. H. Andersen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.934 64, 934 (1990).
46. K. Chattopadhyay and R. Goswami, Prog. Mater. Sci. PRMSAQ 0079-6425 10.1016/S0079-6425(97)00030-3 42, 287 (1997).
47. Q. Jiang, Z. Zhang, and J. C. Li, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/S0009-2614(00)00413-9 322, 549 (2000).
48. L. Zhang, Z. H. Jin, L. H. Zhang, M. L. Sui, and K. Lu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.1484 85, 1484 (2000).
49. S. Auer and D. Frenkel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.015703 91, 015703 (2003).
50. P. Letellier, A. Mayaffre, and M. Turmine, J. Colloid Interface Sci. JCISA5 0021-9797 (to be published).
51. J. Belloni, Catal. Today CATTEA 0920-5861 113, 141 (2006).
52. J. Belloni, M. O. Delcourt, and C. Leclere, Nouv. J. Chim. NJCHD4 0398-9836 6, 507 (1982).
53. R. Kubo, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.17.975 17, 975 (1962).
54. M. O. Delcourt and J. Belloni, Radiochem. Radioanal. Lett. RRALAZ 0079-9483 13, 329 (1973).
55. A. Henglein, Ber. Bunsenges. Phys. Chem. BBPCAX 0005-9021 81, 556 (1977).
56. M. D. Morse, Chem. Rev. (Washington, D.C.) CHREAY 0009-2665 86, 1046 (1986).
57. E. Schumacher, Chimia CHIMAD 0009-4293 42, 357 (1988).
58. A. A. Shvartsburg and M. F. Jarrold, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.2530 85, 2530 (2000).
59. G. A. Breaux, R. C. Benirschke, T. Sugai, B. S. Kinnear, and M. F. Jarrold, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.215508 91, 215508 (2003).
60. G. A. Breaux, D. A. Hillman, C. M. Neal, R. C. Benirschke, and M. F. Jarrold, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja0477423 126, 8628 (2004).
61. K. Joshi, S. Krishnamurty, and D. G. Kanhere, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.135703 96, 135703 (2006).
62. T. L. Hill, Nano Lett. NALEFD 1530-6984 10.1021/nl010010d 1, 111 (2001).
63. T. L. Hill, Nano Lett. NALEFD 1530-6984 1, 159 (2001).