Atoms in Crystals Are Typically Separated by Distances Of $0.10 \mathrm {~nm}$

question 93

Short Answer

Atoms in crystals are typically separated by distances of $0.10 \mathrm {~nm}$ . What kinetic energy must a nonrelativistic electron have, in electron-volts, in order to have a wavelength of $0.10 \mathrm {~nm}$ ? (melectron $\left. = 9.11 \times 10 ^ { - 31 } \mathrm {~kg} , 1 \mathrm { eV } = 1.60 \times 10 ^ { - 19 } \mathrm {~J} , h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)$

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Definitions:

Modus Ponens

A form of logical argument where a premise, if true, inevitably leads to a particular conclusion.

Modus Tollens

A logical argument form where if the consequent is not true, then the antecedent cannot be true; often formatted as "If P, then Q. Not Q, therefore not P."

Deductive Reasoning

A rational procedure where an outcome is derived from the agreement of several statements, which are widely accepted as true.

Deductive Validity

A property of some logical arguments such that it is impossible for the premises to be true and for the conclusion(s) to be false.