SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES

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CO2DISSOLVED A NOVEL APPROACH TO COMBINING CCS AND GEOTHERMAL

CRITICAL RESOLVED SHEAR STRESS (CRSS) MINIMUM STRESS TO
DATE SECTION 40 91 13XX PROJECT NUMBER DISSOLVED OXYGEN
DATETIME VOCABULARY FTF DISPOSITION RESOLVED OMG ISSUE NO 16665

Q) Determine the Miller indices of a plane that makes intercepts of 4Å, 3Å and 8Å on the coordinate axes of an orthorhombic lattice with the ratio of the axial lengths as:

SOLVED EXAMPLES: MILLER INDICES

Q) Determine the Miller indices of a plane that makes intercepts of 4Å, 3Å and 8Å on the coordinate axes of an orthorhombic lattice with the ratio of the axial lengths as:

a : b : c = 2 : 3 : 1


A) This problem is about the very basic definition of Miller indices and how to derive them.


X

Y

Z

Intercepts

Lattice parameters

2x

3x

1x

Ratio

SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES

SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES

SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES

Reciprocal

SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES

x

SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES

Factoring common factors

SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES

1

SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES

Integer form

( 4

8

1)



Q) What are the miller indices of the line of intersection of a SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES and SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES plane in a cubic crystal?

A) We shall arrive at the solution by a geometrical method and by an analytical method.

Geometrical Method

Note: SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES , SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES

SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES

Analytical Method-1

Weiss zone law states that if a direction [u v w] is contained in plane (h k l) then:

SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES

Let [u v w] be the intersection of SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES and SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES

SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES  the indices of the direction are of the form SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES .

As miller indices are written after factoring out common factors the miller indices are: SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES or the opposite direction SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES .

Analytical Method-2

Using equation of a line in intercept form (a, b, c are intercepts along x, y, z axis respectively):

SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES . Substituting the intercepts for the two planes and solving simultaneously we get the equation for the line of intersection:

SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES

SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICESSOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES (slope = 1 and intercept = 1)

SOLVED EXAMPLES MILLER INDICES Q) DETERMINE THE MILLER INDICES





DISPOSITION RESOLVED OMG ISSUE NO 11245 TITLE
DISSOLVED OXYGEN ANALYSIS EQUIPMENT AND TECHNIQUES DISSOLVED OXYGEN ANALYSES
HCMFS DLL VERSION HISTORY HCM SOLVED PROBLEMS TEST PHASE


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