The elastic constants of zinc between 4.2° and 670°K

Alers, G. A.; Neighbours, J.R.

doi:10.1016/0022-3697(58)90180-x

Cited by 211 publications

(68 citation statements)

References 16 publications

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“…Controlling the Morphology and Distribution of an Intermetallic Zn 16 Ti Phase in Single Crystals of Zn-Ti-Cu 143 maintaining the same single crystal matrix enables, moreover, designing of technological processes by means of which products of the desired structure can be made in a reduced number of the necessary technological steps. Fig.…”

Section: Metalmentioning

confidence: 99%

“…For example the elastic constants c of the pure zinc are property [16,17] The results of other authors suggest moreover, that elasticity of zinc is very sensitive to small variations in amount and kinds of impurities [15,17]. The additional special feature is also a strong influence of even small amounts of the alloying elements on the surface tension of molten zinc, which is a critical parameter for the process of monocrystallization [16,23,24,26]. Another important factor is the existence of a limited number of directions characterised by a high coefficient of diffusion and self-diffusion.…”

Section: Metalmentioning

confidence: 99%

“…This tendency is the stronger, the higher is the imposed from the outside speed of crystallisation and the higher is the content of alloying elements. In the case of single crystals grown without a nucleus, this means a constant axial orientation consistent with the direction [11][12][13][14][15][16][17][18][19][20]. This effect is so strong that all attempts at obtaining an orientation different than the one preferred by the growth mechanism require, beside the presence of a nucleus of the desired orientation, also the crucible of special design [18].…”

Section: Metalmentioning

confidence: 99%

“…The structural anisotropy strongly influences the mode of nucleation and growth of the secondary phases in single crystals with a hexagonal structure. The large difference in elastic constants at different crystallographic directions of the hcp lattice [16,17] enforces some permanent relationships between the crystal lattice of the newly emerging intermetallic phases and matrix.…”

Section: Metalmentioning

confidence: 99%

See 3 more Smart Citations

Controlling the Morphology and Distribution of an Intermetallic Zn16Ti Phase in Single Crystals of Zn-Ti-Cu

Boczkal¹

2012

Modern Aspects of Bulk Crystal and Thin Film Preparation

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Section: Metalmentioning

confidence: 99%

Section: Metalmentioning

confidence: 99%

Section: Metalmentioning

confidence: 99%

Section: Metalmentioning

confidence: 99%

See 2 more Smart Citations

Controlling the Morphology and Distribution of an Intermetallic Zn16Ti Phase in Single Crystals of Zn-Ti-Cu

Boczkal¹

2012

Modern Aspects of Bulk Crystal and Thin Film Preparation

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“…The measured intensities were corrected for Lorentz-polarization, absorption, anomalous dispersion and thermal diffuse scattering effects, the last by the anisotropic first-order method of Rouse and Cooper (1969) using the elastic constants of Alers and Neighbours (1958). Relativistic scattering factors f(hkl) were calculated from the nine-parameter-fit tables of Doyle and Turner (1968).…”

mentioning

confidence: 99%

Mean Square Vibration Amplitudes in Zinc

Field¹

1977

Aust. J. Phys.

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Aust. J. Phys., 1977,30, 105-7 The structure factors of 98 independent reflections have been determined by measurement of the integrated intensities for X-ray diffraction from a zinc single crystal at 295 K. The mean square vibration amplitudes found for the two principal directions are' compared with 'other recent measurements. The X-ray Debye temperature determined from the data' is 207 ± 3 K at 295 K.A measurement of the intensities of X-rays diffracted from the hexagonal closepacked metal zinc has been carried out at room temperature and the mean square thermal vibration amplitudes in the two principal directions have been determined. No previous comprehensive single-temperature X-ray diffraction study has been reported in the literature.A single cylindrical crystal of zinc was grown' by sucking mo1ten zinc into a thin-walled (0·01 mtiJ.) glass capillary. The diameter of the' crystal was measured to be 0'3172±0'0048 mm. The crystal was oriented about a non-symmetry [101] axis, which avoided major multiple diffraction errors and which cpincided almost exactly with the cylinder axis, thus obviating anisotropic absorption corrections. Integrated intensities were measured for reflections up to (sinO)/A. "" 1·28A-l on a Stoe two-circle' automatiC diffractometer operating in the w-20mode. A graphite monochromator was used to obtain the MoKo: wavelength used.Zinc crystallizes in a hexagonal close-packed structure, space group P6 3 /mmc (No. 194), with two atoms per unit cell at sites of 'non-centric symmetry om2. The only special extinction condition is such that, for reflections with h-k = 3n, only those with I even are allowed. The coordination is such that each atom has six nearest neighbours at 2· 66 A in the < 100) directions and six others at 2· 91 A. The structure factor in the absence of any crystal-field effects may be writtenPll and P33 are the two independent anisotropic temperature factor coefficients and the other symbols have their usual meanings. Mean square vibration amplitudes for the principal a and c directions may be determined from Pll and P33 as' (e.g.

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Electronic structure of materials under pressure

Christensen

Novikov

2000

Int. J. Quant. Chem.

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Parameter-free calculations based on the density-functional theory are used to examine high-pressure phases of solids. For the elemental semiconductors, as represented by Si, the high-pressure phases are examined in some detail, and particular attention is paid to the Si(VI)orthorhombic (Cmca) structure which was resolved only very recently. For III-V semiconductors the optimization of the structural parameters of the Cmcm and Imm2 phases is described. The structural energy differences are in several cases very small, and in some cases too small to allow a safe structure prediction on the basis of the calculations. In that context we also discuss ways to go beyond the local density approximation (LDA). We show that the predicted high-pressure phases may be significantly affected by inclusion of (generalized) gradient corrections (GGA). Elemental Zn (hcp) is further taken as an example where we find that the simple LDA leads to poor results for the equilibrium volume and axial ratio (c/a). Introducing corrections, for example by GGA, it is, however, possible to achieve an accuracy that allows a study of the structural changes of Zn (and Cd) under pressure and analysis of these changes in terms of electronic topological transitions.

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The elastic constants of zinc between 4.2° and 670°K

Cited by 211 publications

References 16 publications

Controlling the Morphology and Distribution of an Intermetallic Zn16Ti Phase in Single Crystals of Zn-Ti-Cu

Controlling the Morphology and Distribution of an Intermetallic Zn16Ti Phase in Single Crystals of Zn-Ti-Cu

Mean Square Vibration Amplitudes in Zinc

Electronic structure of materials under pressure

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