Concept explainers
The isotope shifts for each of the four visible Balmer series wavelengths for deuterium and tritium compared with hydrogen.
Answer to Problem 26P
The isotope shifts for each of the four visible Balmer series wavelengths for deuterium and tritium compared with hydrogen is calculated below.
Explanation of Solution
The isotope shift of the spectral lines is defined as the shift in wavelength sue to different
Value of Rydberg constant for atomic hydrogen is
Here,
Lower state of Balmer series is
Write the expression for isotope shifted wavelengths.
Here,
Wavelength of
Wavelength of
Wavelength of
Wavelength of
Conclusion:
Value of Rydberg constant for atomic hydrogen is
For
Substitute
Similarly value of
For
Substitute
Similarly value of
For
Substitute
Similarly value of
For
Substitute
Similarly value of
Thus, the isotope shifts for each of the four visible Balmer series wavelengths for deuterium and tritium compared with hydrogen is calculated above.
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Chapter 4 Solutions
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