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Interplanar Distance in Orthorhombic Crystal Lattice Formula

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Interplanar Spacing is the distance between adjacent and parallel planes of the crystal. Check FAQs

d = \sqrt{\frac{1}{(\frac{h^{2}}{{a lattice}^{2}}) + (\frac{k^{2}}{b^{2}}) + (\frac{l^{2}}{c^{2}})}}

d - Interplanar Spacing?h - Miller Index along x-axis?a_lattice - Lattice Constant a?k - Miller Index along y-axis?b - Lattice Constant b?l - Miller Index along z-axis?c - Lattice Constant c?

Interplanar Distance in Orthorhombic Crystal Lattice Example

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Here is how the Interplanar Distance in Orthorhombic Crystal Lattice equation looks like with Values.

Here is how the Interplanar Distance in Orthorhombic Crystal Lattice equation looks like with Units.

Here is how the Interplanar Distance in Orthorhombic Crystal Lattice equation looks like.

0.097 = \sqrt{\frac{1}{(\frac{9^{2}}{14^{2}}) + (\frac{4^{2}}{12^{2}}) + (\frac{11^{2}}{15^{2}})}}

0.097nm = \sqrt{\frac{1}{(\frac{9^{2}}{{14A}^{2}}) + (\frac{4^{2}}{{12A}^{2}}) + (\frac{11^{2}}{{15A}^{2}})}}

0.097 = \sqrt{\frac{1}{(\frac{9^{2}}{14^{2}}) + (\frac{4^{2}}{12^{2}}) + (\frac{11^{2}}{15^{2}})}}

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Inter Planar Distance and Inter Planar Angle » fx Interplanar Distance in Orthorhombic Crystal Lattice

Interplanar Distance in Orthorhombic Crystal Lattice Solution

Follow our step by step solution on how to calculate Interplanar Distance in Orthorhombic Crystal Lattice?

FIRST Step Consider the formula

d = \sqrt{\frac{1}{(\frac{h^{2}}{{a lattice}^{2}}) + (\frac{k^{2}}{b^{2}}) + (\frac{l^{2}}{c^{2}})}}

Next Step Substitute values of Variables

∴

d = \sqrt{\frac{1}{(\frac{9^{2}}{{14A}^{2}}) + (\frac{4^{2}}{{12A}^{2}}) + (\frac{11^{2}}{{15A}^{2}})}}

Next Step Convert Units

∴

d = \sqrt{\frac{1}{(\frac{9^{2}}{{1.4E-9m}^{2}}) + (\frac{4^{2}}{{1.2E-9m}^{2}}) + (\frac{11^{2}}{{1.5E-9m}^{2}})}}

Next Step Prepare to Evaluate

∴

d = \sqrt{\frac{1}{(\frac{9^{2}}{{1.4E-9}^{2}}) + (\frac{4^{2}}{{1.2E-9}^{2}}) + (\frac{11^{2}}{{1.5E-9}^{2}})}}

Next Step Evaluate

∴

d = 9.70300411688101E-11m

Next Step Convert to Output's Unit

∴

d = 0.0970300411688101nm

LAST Step Rounding Answer

∴

d = 0.097nm

Interplanar Distance in Orthorhombic Crystal Lattice Formula Elements

Variables

Functions

Interplanar Spacing

Interplanar Spacing is the distance between adjacent and parallel planes of the crystal.

Symbol: d

Measurement: WavelengthUnit: nm

Note: Value should be greater than 0.

Formulas to find Interplanar Spacing

Miller Index along x-axis

The Miller Index along x-axis form a notation system in crystallography for planes in crystal (Bravais) lattices along the x-direction.

Symbol: h

Measurement: NAUnit: Unitless