(a)
Interpretation:
The values of
Concept introduction:
The phenomenon of splitting of a spectral line when a magnetic field is applied to it is known as Zeeman Effect. Magnetic field strength can be measured by using the Zeeman Effect. Applications of Zeeman Effect include NMR spectroscopy, MRI and electron spin resonance spectroscopy.
During an electronic transition, an electron from ground state moves straight to the excited state keeping the internuclear distance constant.
The change in the energy of the state,
Answer to Problem 16.8E
The values of
Explanation of Solution
In case of
Where,
•
•
•
The value of magnetic field is
For,
Substitute the values of
For,
Substitute the values of
For,
Substitute the values of
Therefore, the values of
The values of
(b)
Interpretation:
The values of
Concept introduction:
The phenomenon of splitting of a spectral line when a magnetic field is applied to it is known as Zeeman Effect. Magnetic field strength can be measured by using the Zeeman Effect. Applications of Zeeman Effect include NMR spectroscopy, MRI and electron spin resonance spectroscopy.
During an electronic transition, an electron from ground state moves straight to the excited state keeping the internuclear distance constant.
The change in the energy of the state,
Answer to Problem 16.8E
The values of
The values of
Explanation of Solution
In case of
Where,
•
•
•
The value of magnetic field is
For,
Substitute the values of
For,
Substitute the values of
For,
Substitute the values of
Therefore, the values of
In case of
Where,
•
•
•
The value of magnetic field is
For,
Substitute the values of
For,
Substitute the values of
For,
Substitute the values of
For,
Substitute the values of
For,
Substitute the values of
Therefore, the values of
The values of
The values of
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Chapter 16 Solutions
Physical Chemistry
- Singly-ionized carbon atoms are accelerated through 1050 V and passed into a mass spectrometer to determine the isotopes present. The magnetic field strength in the spectrometer is 0.180 T. (a) Determine the orbital radii for the 12C and 13C isotopes as they pass through the field. cm (12C) cm (13C) (b) Show that the ratio of the radii may be written in the form m1 = V by verifying that your radii in part (a) satisfy this formula. m1 m-arrow_forwardThe transition for the cadmium 228.8-nm line is a ¹So-¹S₁ transition. Calculate the ratio of N/N₁ at 2100 and 2500 K. Given that the degeneracy of the ground state is 1 and the degeneracy of the excited state is 3. (Velocity of light 3.00 x = 1010 cm/s, Planck's constant 6.63 x 10-34 J s and Boltzmann constant = 1.38 x = 10-23 J/K).arrow_forwardIf a sample is placed in a magnetic field of applied field strength = 1.1 Tesla, the spin-up and spin-down 1H nuclei show an energy difference that corresponds to a photon with frequency = 60 MHz. If this same sample is moved into the vicinity of a magnetic field of strength = 5.5 Tesla, what will be the frequency of a photon that could match the energy difference of the spin-up and spin-down states?arrow_forward
- How can i calculate value of nuclear spin(I)? Why 11B’s I is 3/2 ?arrow_forwardIn a 1.10 cm thick cuvette, a 0.5 M solution of a substance absorbs 55% of the incident radiation of wavelength 5985 Å (at which). Calculate the concentration of a solution that absorbs 75% under the same conditions. The solvent is transparent in both cases.arrow_forward5. Atomic emission spectroscopy relies on emission of light by the analyte. An ICP plasma has a temperature of 6200 K for a particular instrument. Using the Boltzmann equation, describe the relative intensities for a signal with a wavelength of 300 nm versus a signal with a wavelength of 600 nm.arrow_forward
- What is the resonance frequency of a proton in a magnetic field of 14.1 T?arrow_forwardBriefly, but informatively, explain the following as encountered in analytical chemistry: (i) Photoelectric effect (ii) K−absorption edge (iii) Dead time of a detectorarrow_forward15. The far-infrared spectrum of HI consists of a series of equally spaced lines with Δν(bar) = 12.8 ^-1 cm. What are (a) the moment of inertia and (b) the internuclear distance?arrow_forward
- In a mass spectrometer, two beams of singly ionized isotopes of uranium 23592U and 23892U are injected with velocity 1.4*105m/s into a magnetic field of strength 0.7 T normally. Compute the distance d between the two trace lines of the isotopes after they complete one semi-circle. (Given: masses of the isotopes are m235 = 3.9*10-25 kg and m238 = 3.95*10-25) a) 1.26 cm b) 0.63 cm c) 0.32 cm d) none of these.arrow_forwardCalculate the value of (Nβ - Nα)/N for electrons in a field of (a) 0.40 T, (b) 1.2 T.arrow_forwardWhat is an Eletromagnetic Radiation?arrow_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,