The Lindemann parameters δ, and the root-mean square thermal vibration amplitudes √ of 54 metallic elements both at fusion and at room temperatures are calculated through the combination of the Debye-Waller and the Lindemann equations. The magnitude and ratio of the average Lindermann parameters δ^r_(fi), with i=1, 2 and 3 for the fusion transitions; A₂→liquid, A₁→liquid and A₃→liquid, are respectively δ_(f1)^r=0.226, δ_(f2)^r=0.185 and δ_(f3)^r=0.131 δ_(f1)^r : δ_(f2)^r : δ_(f3)^r=1 : 0.821 : 0.578 The hypotheses of Lindemann, Gilvarry and Shapiro on the fusion phenomena due to lattice vibration of metals are justified. The role of lattice structure of fusion is also demonstrated. |
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