a) Calculate the half width in nanometers for Doppler broadening of the 4s S 4p transition for atomic nickel at 361.939 nm (3619.39 Å) at a temperature of 20,000 K in both wavelength and frequency units.b) Calculate the speed that an iron atom undergoing the 4s S 4p transition at 385.9911 nm (3859.911 Å) would have if the resulting line appeared at the rest wavelength for the same transition in nickel

As per the rule we can answer one question , so I answered a part

a) Calculate the half width in nanometers for Doppler broadening of the 4s S 4p transition for atomic nickel at 361.939 nm (3619.39 Å) at a temperature of 20,000 K in both wavelength and frequency units.

a) Calculate the half width in nanometers for Doppler broadening of the 4s S 4p transition for atomic nickel at 361.939 nm (3619.39 Å) at a temperature of 20,000 K in both wavelength and frequency units.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter15: Introduction To Electronic Spectroscopy And Structure

Section: Chapter Questions

Problem 15.58E

See similar textbooks

Related questions

Q: (b) Calculate the half width in nanometers for Doppler broadening of the 4s S 4p transition for…

A: (b)

Q: Discuss the physical origins of the gross selection rules for microwave spectroscopy and rotational…

A: The gross selection rules give the knowledge about the allowed spectroscopic transitions. For…

Q: In what wavelength range would you expect to find the maximum in the absorption spectrum of the dye…

Q: Calculate the frequencies and wavelengths for the rotational transition J = 0 → J = 1 and J = 4 → J…

A: Given data: Rotational transition J = 0 → J = 1 and J = 4 → J = 5 for the HCl molecule. To find:…

Q: List the 3 types of EMR scattering and give the relationship between the particle size and…

Q: 1/ Please explain the answer in detail

A: The energy difference between consecutive rotational levels can be calculated as ∆E = 2 B (J + 1)

Q: The magnetogyric ratio of 19F is 2.5177 x 108 T-1 s-1. Calculate the frequency of the nuclear…

Q: You will perform rotational spectroscopy on the diatomic molecule 25A2ºB (where A and B are generic…

Q: On the Moon’s surface, lunar astronauts placed a corner reflector, off which a laser beam is…

Q: Estimate the magnitude of the transition dipole moment of a charge-transfer transition modelled as…

Q: 10.16. Calculate the maximum wavelength of the radiation ñat will bring about dissociation of a…

A: Answer 10.16

Q: sodium chloride molecule, 23NA35CI, which s present in the interstellar medium, are observed at…

A: The difference between two lines in today rotational spectroscopy is 2B Separation between 2 lines…

Q: Calculate the wavenumber of the first overtone transition w ith v = 2 ~ 0 in nitric oxide. NO. given…

A: A simple harmonic oscillator has the path of a parabola. It obeys Hooke's law according to which the…

Q: Describe the three main mechanisms of delayed fluorescence

Q: Using the Heisenberg uncertainty principle, calculate the frequency spread Av for a nanosec- ond…

A: According to Heisenberg Uncertainty principle "energy and time cannot be determined simultaneously…

Q: Calculate the speed that an iron atom undergoing the 4s S 4p transition at 385.9911 nm (3859.911 Å)…

Q: A 2.0 mm cell was filled with a solution of benzene in a non-absorbing solvent. The concentration of…

A: The transmittance and absorbance can be expressed in term of initial light intensity (I0) and…

Q: An amino acid on the surface of an enzyme was labelled covalently with 1.5-I AEDANS and it is known…

Q: Determine the energy for the first excited state for naphtacene assuming the box width equal 8.5 Å:

A: Given: Length of the box = 8.5 A° = 8.5 ×10-10 m

Q: The rotational constant of 127I35CI is 3.423 GHz. Ca lculate the ICI bond length.

A: Rotational Spectra is studied under microwave region. The rotational energy value is quantized . The…

Q: The spacing of lines in the microwave spectrum of 35Cl19F is 1.033 cm−1; calculate the moment of…

A: Study of rotating molecules is microwave spectroscopy where we irradiate our polar molecule with…

Q: Show that the coupling constant as expressed by the Karplus equation (eqn 12B.14) passes through a…

A: The coupling constant as expressed by the Karplus equation passes through a minimum when cos ϕ =…

Q: .5 Sketch potential energy curves for the following states of CdH, Brz and CH, given their…

A: The covalent excited states and ground state of the Br2 molecule has been investigated by…

Q: 5. Potassium atoms exhibit a 404.4 nm transition (4s 3p), and a 511.2 nm transition (3p 3s).…

A: The ratio of probabilities of two states is given by the expression: p2p1=e-∆EkT…

Q: Calculate the frequency separation (in megahertz) of the nuclear spin levels of a 14N nucleus in a…

A: To calculate the frequency separation of N14

Q: The molar absorption coefficient of a solute at 540 nm is 386 dm3 mol−1 cm−1. When light of that…

A: Given: Molar absorption co-efficient ε = 386 dm3mol-1cm-1 Cell length (b) = 5 mm Percentage E =…

Q: Calculate the average energy (in kJ/mol) of violet light with a maximum absorbance of 400 lambda.…

Q: The molar absorption coefficient of a solute at 440 nm is 423 dm3 mol−1 cm−1. When light of that…

A: The given data contains, molar absorption coefficient ε =423 dm3mol-1cm-1 L=6.50 mm I =48.3%

Q: A 270nm laser is used as excitation of flourescence analysis. A given sample has a flourescence…

A: Fluorescence spectroscopy uses a beam of light that excites the electrons in molecules of certain…

Q: The bond length of the C0O molecule is 112.8 pm. Calculate the following (a) The reduced mass. (b)…

A: The rotation of a molecule will be treated similarly to the rigid rotor. It will be similar to…

Q: Question attached

Q: What are the conditions for a molecule to be Raman active, IR active.

Q: (e) Calculate the speed that an iron atom undergoing the 4s S 4p transition at 385.9911 nm (3859.911…

A: (e)

Q: 4 For the 1S 2P (Lyman a) transition in the hydrogen atom, evaluate the total integrated absorption…

Q: a) Show that the 3D –> 2P transition of the He'(Z=2) ion will split into three lines due to the fine…

A: According to the question, first we have to show that the 3D ---> 2P transition of the He+ ion.…

Q: In a photochemical experiment it is observed that 5.78×10-5 mol of uranyl oxalate is decomposed at a…

A: Quantum yield of a reaction is defined as: Quantum yield=ϕ=number of moles of reactant reactednumber…

Q: Can we expect that a plot of relative fluorescence intensity vs. concentration to be linear?

A: The fluorescence intensity basically tells about emitted light. The extent of emission is defined as…

Q: The spacing of lines in the microwave spectrum of 27Al1H is 12.604 cm−1; calculate the moment of…

A: The spacing between two lines in a microwave spectrum of a diatomic molecule is equal to 2B, where B…

Q: 4. (a) Calculate the Doppler width (as a fraction of the transition wavelength) for any kind of…

A: Given: Temperature = 25 oC = 298 K Molar mass of HCl = 36.45 g/mol Let the transition wavelength be…

Q: Which process in the diagram below shows fluorescence? Singlet excited states 2 Triplet excitod…

A: Furoscenece: The emission of light by a substance that has absorbed light or other electromagnetic…

Q: Suppose an oxygen atom (m = 15.9949mu) is adsorbed on the surface of a nickel nanoparticle by a…

Q: The rotational Raman spectrum of 35Cl2 shows a series of Stokes lines separated by 0.9752 cm−1 and a…

A: Mass of a 35Cl atom is 34.9688 u. First calculate the reduced mass (μ) of 35Cl2 . Here m1 is the…

Q: This molecule is planar, so we can approximate electrons as being confined inside a square. What are…

A: Solution -

Q: Ground state sodium has a term symbol of 2S1/2. What are the possible term symbols for the product…

A: Term symbol is the description that has total angular momentum quantum numbers present in a…

Q: (b) The lowest frequency rotational transition of²H³°Cl occurs at 10.92 cm'. Determine (i) The…

A: We have to predict the rotational constant (in Hz), bond length.

Q: A one-dimensional box of width L contains two spinless particles cach of mass in. The interaction…

Concept explainers

Quantum Chemistry

Quantum chemistry deals with the properties of chemical systems and their reactions. The branch of chemistry which is more concerned with quantum chemistry is physical chemistry. It is a more sophisticated field of theoretical physics which is concerned towards the application of physical concepts towards various chemical aspects such as, formation of atoms, chemical structure descriptions, chemical bond strength, hybridization, conjugation etc. Quantum chemistry mainly studies the various states i.e., ground state, excited state, transition states of the individual atoms or molecules taking place during any chemical reaction. The laws of motion explained by various scientists, which are termed as “classical mechanics” were not acceptable in terms of electrons, protons, atoms, light etc. Thus, a new theory named “quantum mechanics” emerged to understand the basic framework of various atomic and subatomic particles.

Question

b) Calculate the speed that an iron atom undergoing the 4s S 4p transition at 385.9911 nm (3859.911 Å) would have if the resulting line appeared at the rest wavelength for the same transition in nickel

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Introduction and Principles of Quantum Theory

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions

Calculate the speed that an iron atom undergoing the 4s S 4p transition at 385.9911 nm (3859.911 Å) would have if the resulting line appeared at the rest wavelength for the same transition in nickel.
In 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.
(b) Calculate the half width in nanometers for Doppler broadening of the 4s S 4p transition for atomic nickel at 361.939 nm (3619.39 Å) at a temperature of 20,000 K in both wavelength and frequency units. (c) Estimate the natural line width for the transition in (b) assuming that the lifetime of the excited state is 5*10^(-8) s.
Calculate the separation between the two lowest levels for an O2 molecule in a one-dimensional container of length 5.0 cm. At what value of n does the energy of the molecule reach 1/2kT at 300 K, and what is the separation of this level from the one immediately below?
Assume that the states of the π electrons of a conjugated molecule can be approximated by the wavefunctions of a particle in a one-dimensional box, and that the magnitude of the dipole moment can be related to the displacement along this length by μ = −ex. Show that the transition probability for the transition n = 1 → n = 2 is non-zero, whereas that for n = 1 → n = 3 is zero. Hints: The following relation will be useful: sin x sin y = 1/2cos(x − y) − 1/2cos(x + y). Relevant integrals are given in the Resource section.
A space probe was designed to see 13CO in the atmosphere of Saturn by looking for lines in its rotational spectrum. If the bond length of CO is 112.8 pm, at what wave number do the first three rotational transitions appear?
Is the transition A1g → E2u forbidden for electric dipole transitions in a D6h molecule?
Suppose an oxygen atom (m = 15.9949mu) is adsorbed on the surface of a nickel nanoparticle by a bond of force constant 544 N m-1. Calculate the wavelength of a photon needed to excite a transition between its neighbouring vibrational energy levels.
Estimate the magnitude of the transition dipole moment of a charge-transfer transition modelled as the migration of an electron from a H1s orbital on one atom to another H1s orbital on an atom a distance R away. Approximate the transition moment by −eRS where S is the overlap integral of the two orbitals. Sketch the transition moment as a function of R using the expression for S given in Table 9C.1. Why does the intensity of a charge-transfer transition fall to zero as R approaches 0 and infinity?
The rigid rotor/particle-on-a-sphere can be used as a reasonable model for all of the following EXCEPT, and why. An electron in a hydrogen atom A hydrogen molecule rotation An electron confined on the surface of a spherical nanoparticle Predicting a rotational (microwave) absorption spectrum
quantum chemistry Estimate the transmission coefficient for an electron tunneling through a barrier of height 2 eV and width 20 pm when its energy is 1.2 eV
The magnetogyric ratio of 19F is 2.5177 x 108 T-1 s-1. Calculate the frequency of the nuclear transition in a field of 7.500 T.