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Abstract

The problem of a shallow donor impurity located at the centre of a symmetrical paraboloidal quantum dot (SPQD) is solved exactly. The Schrödinger equation is separated in the paraboloidal coordinate system. Three different cases are discussed for the radial-like equations. For a bound donor, the energy is negative and the solutions are described by Whittaker functions. For a non-bound donor, the energy is positive and the solutions become coulomb wave functions. In the last case, the energy is equal to zero and the solutions reduce to Bessel functions. Using the boundary conditions at the dot surfaces, the variations of the donor kinetic and potential energies versus the size of the dot are obtained. The problem of a shallow donor impurity in a Hemiparaboloidal Quantum dot (HPQD) is also studied. It is shown that the wave functions of a HPQD are specific linear combinations of those of a SPQD.

Abstract

The electronic structures of doped Sb2O5 by IV-family elements (Si, Ge and Sn) were examined using the density function theory (DFT). Density of states (DOSs) results showed that the substituted IV-family elements act as acceptors in Sb2O5. Partial DOSs indicates that by substituting Ge(GeSb) or Sn(SnSb), there may be a larger contribution to the total DOSs near EF than by substituting Si, which suggests that doping Ge or Sn in Sb2O5 produces better ptype doping compared to doping Si. Formation energy results show that IV-family elements are more likely to exist in the substituted position rather than in the interstitial position in Sb2O5, decreasing any self-compensation effect and making it easier for IV-family elements to realize ptype doping in Sb2O5. Ionization energy results show that GeSb or SnSb, two among the three impurities considered, act as shallow acceptors in Sb2O5, thus producing a higher concentration of holes.

. Key words: Electron Paramagnetic Resonance (EPR); Complete Diagonalization Method (CDM); PbTiO3: Cu2+. PACS numbers: 76.30Fc; 71.55.-i; 61.72.Ww 1. Introduction The PbTiO3 (PTO) crystal is a kind of ferroelec- tric and piezoelectric material with perovskite struc- ture [1]. Doping of this crystal can change its nature significantly [2 – 5]. For example, the dielectric prop- erties usually depend on the oxygyen octahedral struc- ture, and it is found that PTO’s dielectric property will be changed when Fe3+ ions are doped in it [4]. Eichel et al. [6] and Dimza et al

, ii, 66 (298); I I , ii, 101-102 (298); I V , i, 112-113 (194); I V , iii, 76 (329); I V , iv , 20-21 (4); I V , iv , 44-46 (78). CORIOLANUS I , vi, 71 (55); I I , i, 75-76 (167); I I , i, 192 (266); I I , ii, 88-89 (312); I I , ii, n 6 (66); I I , iii, 124-126 (48); I I I , i, 152-153 (182); I I I , i, 218 (14); I I I , i, 258 (275); I I I , ii, 46-47 (14); I I I , iii, 88-89 (88); I V , i, 3-5 (20); I V , i, 6-7 (262); I V , vii, 1 1 - 1 2 (7); I V , vii, 37-39 (241); V , i, 18-19 (147); V , iii, 141 (321); V , iii, 154-155 (345)· CYMBELINE ι . i. i

50. Kluge S. 75. An der Ostseite folgende griechische Inschrift des 2. Jhds. nach Chr. ι [άπ]οκαθελώ[ν] 2 μετέ&ηκεν. 51 Xanthos, Kalksteinbasis. TL 51. Torp IV 30. Kluge S. 32. 52 Sidek-Jaila, Felsgrab. TL 52. Torp IV 4, 6. Kluge S. 75. Bork S. 26. Meriggi IF 46, 172. 53 Sejret, Felsgrab. TL 53. Kluge S. 47. 3 h in ehbi aus b korrigiert. 54 Tschukurbag, Nischengrab. TL 54. Torp IV 8. V 10 f. Kluge VII . Lykische Texte. 71 55 i [ . b ] a ñ n [ á ] : m ¿ utenew elputi : / i k r e : lijenuwi : pleliz : m a d r a n e : wirasa ja ja tmcrë : /z'jaiz ) m e b u d

, “Reconstructing the Antebellum Communitarian Move- ment: Oneida and Fourierism,” Journal of the Early Republic 16, no. 3 (Autumn 1996): 475, 480. 54. G. W. Noyes, John Humphrey Noyes , 55, 71. 55. “I am every day more persuaded” quoted ibid., 192–93; “Formal community of property” is from Spencer Klaw, Without Sin: The Life and Death of the Oneida Com- munity (New York: Allen Lane, Penguin, 1993), 54; John Humphrey Noyes, “Associa- tion,” Spiritual Magazine 1, no. 1 (March 15, 1846): 4–7. 56. Hinds, American Communities , 175–76 57. H.H.S., “A Community

.931 177.1 166.3 —2990.29 178 865 629 216.887 357-2 146.5 —2961.35 850 809 639 788.843 J77-3 126.7 —2932.40 523 752 650 360.800 357-4 106.9 —2903.46 196 696 660 932-756 >77-5 87.1 —2885.43 187 725 667 518.081 177.0 97-9 —2856.49 860 669 678 090.037 357-1 78.1 —2827.54 533 612 688 661.993 177.2 58-3 —2798.60 206 556 699 233-949 357-2 38.5 —2769.65 878 500 709 805.905 177-3 18.7 —2740.71 55i 443 720 377-86I 357-4 358.9 — 2 7 1 1 . 7 7 224 387 730 949.817 177-5 339-1 —2693.74 216 416 737 535-142 177.0 349-9 —2664.79 888 360 748 107.098 357-t 330-1 —2635-85 56I