Consider an infinite chain of point charges, ±q (with alternating signs), strung out along the x axis, each a distance a from its nearest neighbors. Find the work per particle required to assemble this system. [Partial Answer: -aq?/(47 €oa), for some dimensionless number a; your problem is to determine a. It is known as the Madelung constant. Calculating the Madelung constant for 2- and 3-dimensional arrays is much more subtle and difficult.]
Consider an infinite chain of point charges, ±q (with alternating signs), strung out along the x axis, each a distance a from its nearest neighbors. Find the work per particle required to assemble this system. [Partial Answer: -aq?/(47 €oa), for some dimensionless number a; your problem is to determine a. It is known as the Madelung constant. Calculating the Madelung constant for 2- and 3-dimensional arrays is much more subtle and difficult.]
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![* Consider an infinite chain of point charges, ±q (with alternating
signs), strung out along the x axis, each a distance a from its nearest neighbors.
Find the work per particle required to assemble this system. [Partial Answer:
-aq?/(47 €oa), for some dimensionless number a; your problem is to determine a.
It is known as the Madelung constant. Calculating the Madelung constant for
2- and 3-dimensional arrays is much more subtle and difficult.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65fcec67-4718-411d-9875-1afec48723df%2Fa5ea73f0-269f-48b1-b098-4ef376bdcef3%2Fibz6fk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:* Consider an infinite chain of point charges, ±q (with alternating
signs), strung out along the x axis, each a distance a from its nearest neighbors.
Find the work per particle required to assemble this system. [Partial Answer:
-aq?/(47 €oa), for some dimensionless number a; your problem is to determine a.
It is known as the Madelung constant. Calculating the Madelung constant for
2- and 3-dimensional arrays is much more subtle and difficult.]
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