2005
DOI: 10.1103/physrevb.72.195206
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First-principles calculation of intrinsic defect formation volumes in silicon

Abstract: We present an extensive first-principles study of the pressure dependence of the formation enthalpies of all the know vacancy and self-interstitial configurations in silicon, in each charge state from −2 through +2. The neutral vacancy is found to have a formation volume that varies markedly with pressure, leading to a remarkably large negative value (−0.68 atomic volumes) for the zero-pressure formation volume of a Frenkel pair (V + I). The interaction of volume and charge was examined, leading to pressure-Fe… Show more

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Cited by 81 publications
(49 citation statements)
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“…The former relaxation volume calculated as the change in total volume of the defect supercell is -24.1Å 3 in good agreement with previous calculation [61,62]. The relaxation volume varies only marginally in the range of supercell size considered in this study: from -22.8Å…”
Section: Vibrational Formation Entropysupporting
confidence: 91%
See 1 more Smart Citation
“…The former relaxation volume calculated as the change in total volume of the defect supercell is -24.1Å 3 in good agreement with previous calculation [61,62]. The relaxation volume varies only marginally in the range of supercell size considered in this study: from -22.8Å…”
Section: Vibrational Formation Entropysupporting
confidence: 91%
“…Upon volume change, the phonon frequency for LA and TA modes are very slightly downshifted resulting in a decrease of c by less than 1% in agreement with the observed softening of the acoustic modes and decrease of the speed of sound. The observed discrepancies between the direct analysis of Δg(ω) and the elastic constant analysis can be attributed to (i) numerical error in estimating both speed of sound and defect strain polarizabilities [64], (ii) the difficulty to correctly describe this frequency region due to use of FP approach for a system with relatively flat energy landscape [61], (iii) volume effect are also known to influence the phonon vibration spectrum [20]. Figure 8 shows the evolution of ΔS vib f as a function of T for the neutral silicon vacancy in the D 2d configuration together with the entropic contribution from the different frequency regions defined previously.…”
Section: Neutral Vacancy In the D 2d Configurationmentioning
confidence: 99%
“…For example, our data show that as the annealing conditions became more oxidizing, the measured c -axis for strained films increased, especially for tensile-strained films; the increase resulted from the filling of oxygen vacancies formed during the growth and/or the creation of oxygen interstitials. Calculations of the volume relaxation tensor 30 under unstrained conditions for these defects (Supplementary Table 3) demonstrated that interstitials (both oxide and peroxide) resulted in c axis lattice expansion ( V cc  > 0), whereas both apical and equatorial oxygen vacancies resulted in c -axis lattice contraction ( V cc  < 0) (Supplementary Note 2). Therefore, in progressing from reducing to oxidizing conditions, we expect a loss of vacancies or gain of interstitials to result in lattice expansion.…”
Section: Resultsmentioning
confidence: 99%
“…It is well known that in crystalline silicon, a vacancy defect is a kind of important intrinsic point defect. * E-mail: shuyingzhong@163.com So far, lots of reports have been related with the mechanical and electronic properties of the vacancy defects in crystalline silicon, which mainly referred to the defects of monovacancy, divacancy and hexavacancy [8][9][10][11][12]. Generally, the simplest monovacancy plays a key role in self-diffusion and impurity diffusion.…”
Section: Introductionmentioning
confidence: 99%