2.4 The unit cell for Platinum (Pt) has atoms which are located at each of the corners and at the centre of all the unit cell faces. The density and atomic weight of Pt are 21.45 g/cm³ and 195.08 g/mol, respectively. Given that the Avogadro's Number is 6.023 x 1023 atoms/mol, (a) sketch the atomic arrangement on the (010) plane of the unit cell. (b) determine the lattice constant, a of Pt atom. (c) calculate the atomic radius of Pt atom.

2.4 The unit cell for Platinum (Pt) has atoms which are located at each of the corners and at the centre of all the unit cell faces. The density and atomic weight of Pt are 21.45 g/cm³ and 195.08 g/mol, respectively. Given that the Avogadro's Number is 6.023 x 1023 atoms/mol, (a) sketch the atomic arrangement on the (010) plane of the unit cell. (b) determine the lattice constant, a of Pt atom. (c) calculate the atomic radius of Pt atom.

Chemistry

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ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

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Concept explainers

Crystal Lattices and Unit Cell

Consider a crystal. The regular and repeating pattern of constituent particles is the most distinguishing feature of crystalline solids. A crystal lattice is formed when these particles are replaced with representative points. The three-dimensional arrangement of constituent particles is known as a crystal lattice. Unit cell is that the smallest portion of a space lattice which when repeated in several directions, generate the whole lattice. Unit cell is a building block of a lattice. It is the smallest unit of cell.

Question

2.4
2.5
The unit cell for Platinum (Pt) has atoms which are located at each of the
corners and at the centre of all the unit cell faces. The density and atomic weight
of Pt are 21.45 g/cm³ and 195.08 g/mol, respectively. Given that the Avogadro's
Number is 6.023 x 1023 atoms/mol,
(a) sketch the atomic arrangement on the (010) plane of the unit cell.
(b) determine the lattice constant, a of Pt atom.
(c) calculate the atomic radius of Pt atom.
A sample of BCC iron (Fe) was placed in an X-ray diffractometer using incoming
X-rays with a wavelength, λ = 0.1541 nm. Diffraction from the {110} planes was
obtained at 20 = 44.704°. Assuming that the order of reflection is 1, calculate:
(a) the interplanar spacing of the planes
(b) the value for the lattice constant, a for BCC Fe

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