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The Lattice Direction is a crystal direction [uvw] which is parallel to the direction joining the origin of the crystal lattice with the point with coordinates (ua, vb, wc) Crystal directions. Check FAQs
r=(u'⋅alattice)+(v'⋅b)+(w'⋅c)
r - Lattice Direction?u' - X-coordinate of Point in Space?alattice - Lattice Constant a?v' - Y-coordinate of Point in Space?b - Lattice Constant b?w' - Z-coordinate of Point in Space?c - Lattice Constant c?

3D Lattice Direction for points in space which are not Lattice Points Example

With values
With units
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Here is how the 3D Lattice Direction for points in space which are not Lattice Points equation looks like with Values.

Here is how the 3D Lattice Direction for points in space which are not Lattice Points equation looks like with Units.

Here is how the 3D Lattice Direction for points in space which are not Lattice Points equation looks like.

390Edit=(3Edit⋅14Edit)+(9Edit⋅12Edit)+(16Edit⋅15Edit)
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HomeIcon Home » Category Chemistry » Category Solid State Chemistry » Category Lattice Direction » fx 3D Lattice Direction for points in space which are not Lattice Points

3D Lattice Direction for points in space which are not Lattice Points Solution

Follow our step by step solution on how to calculate 3D Lattice Direction for points in space which are not Lattice Points?

FIRST Step Consider the formula
r=(u'⋅alattice)+(v'⋅b)+(w'⋅c)
Next Step Substitute values of Variables
∴ r=(3⋅14A)+(9⋅12A)+(16⋅15A)
Next Step Convert Units
∴ r=(3⋅1.4E-9m)+(9⋅1.2E-9m)+(16⋅1.5E-9m)
Next Step Prepare to Evaluate
∴ r=(3⋅1.4E-9)+(9⋅1.2E-9)+(16⋅1.5E-9)
Next Step Evaluate
∴r=3.9E-08m
LAST Step Convert to Output's Unit
∴r=390A

3D Lattice Direction for points in space which are not Lattice Points Formula Elements

Variables
Lattice Direction
The Lattice Direction is a crystal direction [uvw] which is parallel to the direction joining the origin of the crystal lattice with the point with coordinates (ua, vb, wc) Crystal directions.
Symbol: r
Measurement: LengthUnit: A
Note: Value can be positive or negative.
Formulas to find Lattice DirectionOpen Variable
X-coordinate of Point in Space
X-coordinate of point in space in a point in space which is not a lattice point.
Symbol: u'
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find X-coordinate of Point in SpaceOpen Variable
Lattice Constant a
The Lattice Constant a refers to the physical dimension of unit cells in a crystal lattice along x-axis.
Symbol: alattice
Measurement: LengthUnit: A
Note: Value can be positive or negative.
Formulas to find Lattice Constant aOpen Variable
Y-coordinate of Point in Space
Y-coordinate of point in space in a point in space which is not a lattice point.
Symbol: v'
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Y-coordinate of Point in SpaceOpen Variable
Lattice Constant b
The Lattice Constant b refers to the physical dimension of unit cells in a crystal lattice along y-axis.
Symbol: b
Measurement: LengthUnit: A
Note: Value can be positive or negative.
Formulas to find Lattice Constant bOpen Variable
Z-coordinate of Point in Space
Z-coordinate of point in space in a point in space which is not a lattice point.
Symbol: w'
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Z-coordinate of Point in SpaceOpen Variable
Lattice Constant c
The Lattice Constant c refers to the physical dimension of unit cells in a crystal lattice along z-axis.
Symbol: c
Measurement: LengthUnit: A
Note: Value can be positive or negative.
Formulas to find Lattice Constant cOpen Variable

Other Formulas to find Lattice Direction

​Go 1D Lattice Direction for Lattice Points
r=(u⋅alattice)
​Go 2D Lattice Direction for Lattice Points
r=(u⋅alattice)+(v⋅b)

How to Evaluate 3D Lattice Direction for points in space which are not Lattice Points?

3D Lattice Direction for points in space which are not Lattice Points evaluator uses Lattice Direction = (X-coordinate of Point in Space*Lattice Constant a)+(Y-coordinate of Point in Space*Lattice Constant b)+(Z-coordinate of Point in Space*Lattice Constant c) to evaluate the Lattice Direction, The 3D Lattice Direction for points in space which are not Lattice Points is a crystal direction [uvw] which is parallel to the direction joining the origin of the crystal lattice with the point with coordinates (ua, vb, wc) Crystal directions. Lattice Direction is denoted by r symbol.

How to evaluate 3D Lattice Direction for points in space which are not Lattice Points using this online evaluator? To use this online evaluator for 3D Lattice Direction for points in space which are not Lattice Points, enter X-coordinate of Point in Space (u'), Lattice Constant a (alattice), Y-coordinate of Point in Space (v'), Lattice Constant b (b), Z-coordinate of Point in Space (w') & Lattice Constant c (c) and hit the calculate button.

FAQs on 3D Lattice Direction for points in space which are not Lattice Points

What is the formula to find 3D Lattice Direction for points in space which are not Lattice Points?
The formula of 3D Lattice Direction for points in space which are not Lattice Points is expressed as Lattice Direction = (X-coordinate of Point in Space*Lattice Constant a)+(Y-coordinate of Point in Space*Lattice Constant b)+(Z-coordinate of Point in Space*Lattice Constant c). Here is an example- 3.9E+12 = (3*1.4E-09)+(9*1.2E-09)+(16*1.5E-09).
How to calculate 3D Lattice Direction for points in space which are not Lattice Points?
With X-coordinate of Point in Space (u'), Lattice Constant a (alattice), Y-coordinate of Point in Space (v'), Lattice Constant b (b), Z-coordinate of Point in Space (w') & Lattice Constant c (c) we can find 3D Lattice Direction for points in space which are not Lattice Points using the formula - Lattice Direction = (X-coordinate of Point in Space*Lattice Constant a)+(Y-coordinate of Point in Space*Lattice Constant b)+(Z-coordinate of Point in Space*Lattice Constant c).
What are the other ways to Calculate Lattice Direction?
Here are the different ways to Calculate Lattice Direction-
  • Lattice Direction=(X-coordinate of lattice point*Lattice Constant a)OpenImg
  • Lattice Direction=(X-coordinate of lattice point*Lattice Constant a)+(Y-coordinate of lattice point*Lattice Constant b)OpenImg
  • Lattice Direction=(X-coordinate of lattice point*Lattice Constant a)+(Y-coordinate of lattice point*Lattice Constant b)+(Z-coordinate of Lattice Point*Lattice Constant c)OpenImg
Can the 3D Lattice Direction for points in space which are not Lattice Points be negative?
Yes, the 3D Lattice Direction for points in space which are not Lattice Points, measured in Length can be negative.
Which unit is used to measure 3D Lattice Direction for points in space which are not Lattice Points?
3D Lattice Direction for points in space which are not Lattice Points is usually measured using the Angstrom[A] for Length. Meter[A], Millimeter[A], Kilometer[A] are the few other units in which 3D Lattice Direction for points in space which are not Lattice Points can be measured.
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