FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

1

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

2

Go1D Lattice Direction for Lattice Points Formula

3

Go2D Lattice Direction for Lattice Points Formula

Fx Copy

LaTeX Copy

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' \cdot a lattice) + (v' \cdot b) + (w' \cdot c)

r - Lattice Direction?u' - X-coordinate of Point in Space?a_lattice - 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

Only example

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.

390 = (3 \cdot 14) + (9 \cdot 12) + (16 \cdot 15)

390A = (3 \cdot 14A) + (9 \cdot 12A) + (16 \cdot 15A)

390 = (3 \cdot 14) + (9 \cdot 12) + (16 \cdot 15)

Tip: Use pencil () icon above to edit Input Values and Units.

Solution

Copy

Share

You are here -

Home » Chemistry » Solid State Chemistry » Lattice Direction » 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' \cdot a lattice) + (v' \cdot b) + (w' \cdot c)

Next Step Substitute values of Variables

∴

r = (3 \cdot 14A) + (9 \cdot 12A) + (16 \cdot 15A)

Next Step Convert Units

∴

r = (3 \cdot 1.4E-9m) + (9 \cdot 1.2E-9m) + (16 \cdot 1.5E-9m)

Next Step Prepare to Evaluate

∴

r = (3 \cdot 1.4E-9) + (9 \cdot 1.2E-9) + (16 \cdot 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.

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.

Lattice Constant a

The Lattice Constant a refers to the physical dimension of unit cells in a crystal lattice along x-axis.

Symbol: a_lattice

Measurement: LengthUnit: A

Note: Value can be positive or negative.

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.

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.

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.

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.

Credits

Creator Image

Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has created this Formula and 800+ more formulas!

Verifier Image

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has verified this Formula and 900+ more formulas!

Other Formulas to find Lattice Direction

Go 1D Lattice Direction for Lattice Points

r = (u \cdot a lattice)

Go 2D Lattice Direction for Lattice Points

r = (u \cdot a lattice) + (v \cdot 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 (a_lattice), 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 (a_lattice), 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)
Lattice Direction=(X-coordinate of lattice point*Lattice Constant a)+(Y-coordinate of lattice point*Lattice Constant b)
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)

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.

Spanish French German Russian Italian Portuguese Polish Dutch

© 2024-2026. Developed & Maintained by softUsvista Inc.

Let Others Know

✖

WhatsApp

Copied!