✦ LIBER ✦

A LINEAR EXPANSION APPARATUS

✍ Scribed by Clarence M. Hall

Book ID: 114958317
Publisher: School Science and Mathematics Association
Year: 1908
Tongue: English
Weight: 101 KB
Volume: 8
Category: Article
ISSN: 0036-6803
DOI: 10.1111/j.1949-8594.1908.tb01206.x

No coin nor oath required. For personal study only.

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## Abstract If the thermal expansion of a lattice with periodic boundary conditions is calculated exactly, the result is zero. An expression is derived for the thermal expansion is of a monatomic linear chain with free ends using the exact normal modes and it is shown that this result may be reprod