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Suppose you measured a spectrum of a laser source which peaks at a wavelength of 810 nm. Find the energy (in eV) associated with this wavelength.

Suppose you measured a spectrum of a laser source which peaks at a wavelength of 810 nm. Find the energy (in eV) associated with this wavelength.

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Suppose you measured a spectrum of a laser source which peaks at a wavelength of 810 nm. Find the energy (in eV) associated with this wavelength. From the LED spectrum data you want to find the width of the peak at half the height of the peak. At the half height you recorded the wavelengths of 630 nm and 666 nm respectively. Using these wavelengths determine the width of energies (in eV) at half the height of the peak. From the N2 spectrum data you noted the two prominent peaks at wavelengths 330 nm and 350 nm. Determine the energy associated with each peak. The larger energy represents the energy difference between the vibrational ground states of two molecular orbitals (denoted by C³Iy and B³IIL). The smaller one represents the energy difference between the vibrational ground state of the C'IIu orbital and first excited vibrational state of B³II̟. The difference between these energies represents the energy difference between the ground and first excited vibrational levels. Find this difference. Using the energy difference, you found in question 3, determine the spring constant of the molecular bond of the nitrogen molecule. (Hint: model the nitrogen molecule as a quantum simple harmonic oscillator. See the manual for detail)
Transcribed Image Text:Suppose you measured a spectrum of a laser source which peaks at a wavelength of 810 nm. Find the energy (in eV) associated with this wavelength. From the LED spectrum data you want to find the width of the peak at half the height of the peak. At the half height you recorded the wavelengths of 630 nm and 666 nm respectively. Using these wavelengths determine the width of energies (in eV) at half the height of the peak. From the N2 spectrum data you noted the two prominent peaks at wavelengths 330 nm and 350 nm. Determine the energy associated with each peak. The larger energy represents the energy difference between the vibrational ground states of two molecular orbitals (denoted by C³Iy and B³IIL). The smaller one represents the energy difference between the vibrational ground state of the C'IIu orbital and first excited vibrational state of B³II̟. The difference between these energies represents the energy difference between the ground and first excited vibrational levels. Find this difference. Using the energy difference, you found in question 3, determine the spring constant of the molecular bond of the nitrogen molecule. (Hint: model the nitrogen molecule as a quantum simple harmonic oscillator. See the manual for detail)
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