Neutron diffraction is used in determining the structures of molecules. a. Calculate the de Broglie wavelength of a neutron moving at 2.86% of the speed of light. Wavelength b. Calculate the velocity of a neutron with a wavelength of 73 pm m). = (1 pr · pm = 10-12 Velocity = m m/s

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Neutron Diffraction and Molecular Structures**

Neutron diffraction is a crucial technique used in determining the structures of molecules. To better understand this concept, let's explore the following exercises:

**a. Calculate the de Broglie wavelength of a neutron moving at 2.86% of the speed of light.**

\[ \text{Wavelength} = \_\_\_\_\_\_\_\_\_\_ \, \text{m} \]

**b. Calculate the velocity of a neutron with a wavelength of 73 pm** \((1 \, \text{pm} = 10^{-12} \, \text{m})\).

\[ \text{Velocity} = \_\_\_\_\_\_\_\_\_\_ \, \text{m/s} \]

These exercises involve applying the de Broglie wavelength formula and converting units to solve for wavelength and velocity, respectively.
Transcribed Image Text:**Neutron Diffraction and Molecular Structures** Neutron diffraction is a crucial technique used in determining the structures of molecules. To better understand this concept, let's explore the following exercises: **a. Calculate the de Broglie wavelength of a neutron moving at 2.86% of the speed of light.** \[ \text{Wavelength} = \_\_\_\_\_\_\_\_\_\_ \, \text{m} \] **b. Calculate the velocity of a neutron with a wavelength of 73 pm** \((1 \, \text{pm} = 10^{-12} \, \text{m})\). \[ \text{Velocity} = \_\_\_\_\_\_\_\_\_\_ \, \text{m/s} \] These exercises involve applying the de Broglie wavelength formula and converting units to solve for wavelength and velocity, respectively.
Microwave radiation has a wavelength on the order of 1.6 cm. Calculate the frequency and the energy of a single photon of this radiation.

Frequency = [_____ ] s⁻¹

Energy = [_____ ] J

Calculate the energy of an Avogadro's number of photons (called an einstein) of this radiation.

Energy = [_____ ] J
Transcribed Image Text:Microwave radiation has a wavelength on the order of 1.6 cm. Calculate the frequency and the energy of a single photon of this radiation. Frequency = [_____ ] s⁻¹ Energy = [_____ ] J Calculate the energy of an Avogadro's number of photons (called an einstein) of this radiation. Energy = [_____ ] J
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