Chapter 7.6, Problem 1.5ACP

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# Europium oxide (Eu2O3) is used in the production of red phosphors for television displays. If the europium compound emits light with a wavelength of 612 nm, what is the frequency (s‒1) and energy (J/photon) of the light?

Interpretation Introduction

Interpretation:

The frequency and energy values have to be calculated.

Concept Introduction:

De-broglie equation: This equation widely used to describe the wave properties of matter, specifically, the wave nature of the electron λ = h/mv, where λ is wavelength, h is Planck's constant, m is the mass of a particle, moving at a velocity v. de Broglie suggested that particles can exhibit properties of waves.

Explanation

First we calculate the frequency values of the given statement:

Let us consider the fallowing de-Broglie equation

Î½=cÎ»âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’[1]HereÎ½=â€‰frequencyâ€‰(toâ€‰beâ€‰calculate)c=3Ã—108â€‰m/sâ€‰Î»=â€‰6.12Ã—10âˆ’7â€‰mâ€‰(or)â€‰612â€‰nmTheâ€‰valuesâ€‰areâ€‰substitutedâ€‰equationâ€‰(1)Î½=3Ã—108â€‰m/sâ€‰6.12Ã—10âˆ’7â€‰m=4

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