Building up a face centered cubic lattice - Revision history

Carl McBride: Undo revision 12942 by 188.123.231.96 (talk)

2012-06-25T08:58:36Z

Undo revision 12942 by 188.123.231.96 (talk)

← Older revision		Revision as of 10:58, 25 June 2012
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	[[category: computer simulation techniques]]		[[category: computer simulation techniques]]
	[[category: Contains Jmol]]		[[category: Contains Jmol]]

	~~x=j+k,y=k+i,z=i+j~~

2012-06-24T10:50:33Z

← Older revision		Revision as of 12:50, 24 June 2012
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	[[category: computer simulation techniques]]		[[category: computer simulation techniques]]
	[[category: Contains Jmol]]		[[category: Contains Jmol]]

			x=j+k,y=k+i,z=i+j

2009-07-22T12:37:47Z

Added Jmol + category.

← Older revision		Revision as of 14:37, 22 July 2009
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			{{Jmol_general\|Face_centered_cubic_lattice.xyz\|A face 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]]

2008-02-13T10:00:22Z

← 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]]

2007-03-20T16:36:26Z

← Older revision		Revision as of 18:36, 20 March 2007
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	\right.		\right.
	</math>		</math>

			== Atomic position(s) on a cubic cell ==

			* Number of atoms per cell: 4
			* Coordinates:
			Atom 1: <math> \left( x_1, y_1, z_1 \right) = \left( 0, 0, 0 \right) </math>

			Atom 2: <math> \left( x_2, y_2, z_2 \right) = \left( 0 , \frac{l}{2}, \frac{l}{2}\right) </math>

			Atom 3: <math> \left( x_3, y_3, z_2 \right) = \left( \frac{l}{2}, 0, \frac{l}{2} \right) </math>

			Atom 4: <math> \left( x_4, y_4, z_2 \right) = \left( \frac{l}{2}, \frac{l}{2}, 0 \right) </math>

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

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

2007-03-20T10:45:27Z

← Older revision		Revision as of 12:45, 20 March 2007
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	where the indices of a given valid site are integer numbers that must fulfill the following criteria		where the indices of a given valid site are integer numbers that must fulfill the following criteria

	* <math> 0 \le i_a < m </math>		* <math> 0 \le i_a < 2m </math>
	* <math> 0 \le j_a < m </math>		* <math> 0 \le j_a < 2m </math>
	* <math> 0 \le k_a < m </math>,		* <math> 0 \le k_a < 2m </math>,
	* the sum of <math> \left. i_a + j_a + k_a \right. </math> must be, for instance, an even number.		* the sum of <math> \left. i_a + j_a + k_a \right. </math> must be, for instance, an even number.

2007-03-19T18:38:02Z

← Older revision		Revision as of 20:38, 19 March 2007
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	</math>		</math>

	where the indices of a given valid site are an integer ~~number~~ that must fulfill the following criteria		where the indices of a given valid site are integer numbers that must fulfill the following criteria

	* <math> 0 \le i_a < m </math>		* <math> 0 \le i_a < m </math>

2007-03-19T17:39:07Z

← Older revision		Revision as of 19:39, 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 = 4 m^3 \right. </math>,
			with <math> m </math> being a positive integer
	: <math> \left. M = 4 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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	</math>		</math>

	where the indices of a given valid site are integer number that must fulfill:		where the indices of a given valid site are an integer number that must fulfill the following criteria

	* <math> 0 \le i_a < m </math>		* <math> 0 \le i_a < m </math>
	* <math> 0 \le j_a < m </math>		* <math> 0 \le j_a < m </math>
	* <math> 0 \le k_a < m </math>,		* <math> 0 \le k_a < m </math>,
	*~~and~~ the sum: <math> \left. i_a + j_a + k_a \right. </math> must be, for instance, an even number.		* the sum of <math> \left. i_a + j_a + k_a \right. </math> must be, for instance, an even number.

	with		with

2007-03-19T17:31:30Z

← Older revision		Revision as of 19:31, 19 March 2007
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	* <math> 0 \le j_a < m </math>		* <math> 0 \le j_a < m </math>
	* <math> 0 \le k_a < m </math>,		* <math> 0 \le k_a < m </math>,
			*and the sum: <math> \left. i_a + j_a + k_a \right. </math> must be, for instance, an even number.

	and ~~its~~ sum: <math> i_a + j_a + k_a </math> must be an, for instance, even number.

	with		with

2007-03-19T17:18:13Z

← Older revision		Revision as of 19:18, 19 March 2007
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	and its sum: <math> i_a + j_a + k_a </math> must be an, for ~~instances~~, even number.		and its sum: <math> i_a + j_a + k_a </math> must be an, for instance, even number.

	with		with