Building up a body centered cubic lattice - Revision history

Carl McBride: Added a Jmol applet + category.

2009-07-22T12:28:13Z

Added a Jmol applet + category.

← Older revision		Revision as of 14:28, 22 July 2009
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			{{Jmol_general\|Body_centered_cubic_lattice.xyz\|A body centered cubic lattice}}
	* Consider:		* Consider:
	# a cubic simulation box whose sides are of length <math>\left. L \right. </math>		# a cubic simulation box whose sides are of length <math>\left. L \right. </math>
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	*<math> \alpha = \beta = \gamma = 90^0 </math>		*<math> \alpha = \beta = \gamma = 90^0 </math>
	[[category: computer simulation techniques]]		[[category: computer simulation techniques]]
			[[category: Contains Jmol]]

Nice and Tidy at 10:00, 13 February 2008

2008-02-13T10:00:01Z

← Older revision		Revision as of 12:00, 13 February 2008
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	*<math> \alpha = \beta = \gamma = 90^0 </math>		*<math> \alpha = \beta = \gamma = 90^0 </math>
			[[category: computer simulation techniques]]

Noe: /* Atomic position(s) on a cubic cell */

2007-03-20T11:08:46Z

Atomic position(s) on a cubic cell

← Older revision		Revision as of 13:08, 20 March 2007
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	* Number of atoms per cell: 2		* Number of atoms per cell: 2
	* Coordinates:		* Coordinates:
	Atom 1: <math> \left. x_1/l=0, ~~y_1/l=~~0, ~~z_1/l=~~0 \right. </math>		Atom 1: <math> \left( x_1, y_1, z_1 \right) = \left( 0, 0, 0 \right) </math>

	Atom 2: <math> \left. x_2/l=1/2, ~~y_1/~~l=1/2, ~~z_1/~~l=1/2 \right. </math>		Atom 2: <math> \left( x_2, y_2, z_2 \right) = \left( l/2, l/2, l/2 \right) </math>

Noe at 11:00, 20 March 2007

2007-03-20T11:00:56Z

← Older revision		Revision as of 13:00, 20 March 2007
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	\right.		\right.
	</math>		</math>
			== Atomic position(s) on a cubic cell ==

			* Number of atoms per cell: 2
			* Coordinates:
			Atom 1: <math> \left. x_1/l=0, y_1/l=0, z_1/l=0 \right. </math>

			Atom 2: <math> \left. x_2/l=1/2, y_1/l=1/2, z_1/l=1/2 \right. </math>



			Cell dimensions:
			*<math> a=b=c = l </math>

			*<math> \alpha = \beta = \gamma = 90^0 </math>

Noe at 10:51, 20 March 2007

2007-03-20T10:51:32Z

← Older revision		Revision as of 12:51, 20 March 2007
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	\right\}		\right\}
	</math>		</math>
	where the indices of a given valid site <math>(i_a,j_a,k_a)</math> must be either all odd or all even.		where the indices of a given valid site <math>(i_a,j_a,k_a)</math> must fulfill:
			* <math> i_a, j_a, k_a </math> must be either all odd or all even.
			* <math> 0 \le i_a \le 2 m </math>
			* <math> 0 \le j_a \le 2 m </math>
			* <math> 0 \le k_a \le 2 m </math>

			and
	<math>		<math>
	\left.		\left.\delta l = L/(2m)
	\delta l = L/(2m)
	\right.		\right.
	</math>		</math>

Nice and Tidy at 17:36, 19 March 2007

2007-03-19T17:36:22Z

← Older revision		Revision as of 19:36, 19 March 2007
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	* Consider:		* Consider:
	# a ~~Cubic Simulation~~ box of length <math>\left. L \right. </math>		# a cubic simulation box whose sides are of length <math>\left. L \right. </math>
	# a number of lattice positions, <math> \left. M \right. </math> given by:		# a number of lattice positions, <math> \left. M \right. </math> given by <math> \left. M = 2 m^3 \right. </math>, with <math> m </math> being a positive integer

	: <math> \left. M = 2 m^3 \right. </math>

	: with <math> m </math> being a positive integer

	* The <math> \left. M \right. </math> positions are those given by:		* The <math> \left. M \right. </math> positions are those given by:
			:<math>
	<math>
	\left\{ \begin{array}{l}		\left\{ \begin{array}{l}
	x_a = i_a \times (\delta l) \\		x_a = i_a \times (\delta l) \\
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	\right\}		\right\}
	</math>		</math>
	where the indices of a given valid site <math>(i_a,j_a,k_a)</math> must be all ~~of them either~~ odd or even.		where the indices of a given valid site <math>(i_a,j_a,k_a)</math> must be either all odd or all even.

	~~with~~
	<math>		<math>
	\left.		\left.

Noe: New page: * Consider: # a Cubic Simulation box of length $\left. L \right.$ # a number of lattice positions, $\left. M \right.$ given by: : $\left. M = 2 m^3 \ri...$

2007-03-19T16:58:34Z

New page: * Consider: # a Cubic Simulation box of length <math>\left. L \right. </math> # a number of lattice positions, <math> \left. M \right. </math> given by: : <math> \left. M = 2 m^3 \ri...

New page

* Consider:
# a Cubic Simulation box of length <math>\left. L \right. </math>
# a number of lattice positions, <math> \left. M \right. </math> given by:

: <math> \left. M = 2 m^3 \right. </math>

: with <math> m </math> being a positive integer

* The <math> \left. M \right. </math> positions are those given by:

<math>
\left\{ \begin{array}{l}
x_a = i_a \times (\delta l) \\
y_a = j_a \times (\delta l) \\
z_a = k_a \times (\delta l)
\end{array}
\right\}
</math>
where the indices of a given valid site <math>(i_a,j_a,k_a)</math> must be all of them either odd or even.

with
<math>
\left.
\delta l = L/(2m)
\right.
</math>