A cubic plane has the following axial intercepts: x=1, y=2/3, z=-1/2 . What are the Miller indices of this plane?

Derive linear density expressions for BCC [110] and [111] directions in terms of the atomic radius R

Give the Miller indices of the planes in the figures below. Plane 1 Plane 2 Plane 3 34 y y a a a If you need to input negative numbers put "-" before h, k, or l. Plane 1 h = integer k = integer | = integer Plane 2 h = integer k = integer integer Plane 3 h = integer k = integer integer

(a) Show that all reciprocal lattice vectors of the form G= hA+ kB+IC are perpendicular to the planes of the same indices (h, k, l) in real space.

5- Deduce the Miller indices for the planes shown below X Y

In TEM, we can obtain a diffraction pattern of a thin sample through the use of objective apertures that act as a barrier for incoming electron radiation in the microscope column. Due to the small angle that the beam makes as it transmits through the crystal planes of TEM samples, the Bragg condition can be modified to: ηλ 2d0 = Determine the wavelength of electrons travelling through an objective aperture if the diffraction spot produced satisfies the Bragg condition at (1.20x10^-2) (0 in radians) for the first order (110) plane with a lattice parameter of (6.010x10^-10), and the camera length between the CCD camera and sample is {c}.

I need the answer in Handwritten

State the Miller indices of the planes that intersect the crystallographic axes at the distances (−a, 2b, −c) and (a, 4b, −4c).

The sky is blue because sunlight at visible wavelengths scatters off nitrogen and oxygen molecules in the Earth’s atmosphere. The scattering is called Rayleigh scattering. This problem computes the optical depth of the Earth’s atmosphere to Rayleigh scattering. Assume that the atmosphere is composed of 80% N2 and 20% O2 by number and that these atoms are well-mixed throughout the atmosphere. Take the cross section to Rayleigh scattering of a single N2 molecule to be σN, and the cross section to Rayleigh scattering of a single O2 molecule to be σO. The total pressure of the air at ground level is P0. Take the atmosphere to be in hydrostatic equilibrium at constant temperature T, and constant gravity. The mass of the Earth is M⊕ and the radius of the Earth is R⊕. (a) What is the mean molecular weight μ of the atmosphere? (b) Derive a symbolic expression for the optical depth τ of the Earth’s atmosphere to Rayleigh scattering. Measure the optical depth in the vertical direction: start…

A one-dimensional polymer chain consists of 1200 segments, each 1.125 nm long. If the chain were ideally flexible, what would be the root-mean-square separation of the ends of the chain?