ESR frequency

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Nick Walker

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From users who are members of CHY1201 - Spectroscopy :

Nick Walker

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Ready to use

6 years, 1 month ago

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Nick Walker 5 years, 11 months ago

Published this.

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Nick Walker 6 years, 1 month ago

Gave some feedback: Ready to use

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Nick Walker 6 years, 1 month ago

Created this as a copy of NMR frequency.

Name	Status	Author	Last Modified
NMR frequency	Ready to use	Nick Walker	15/11/2024 18:49
NMR field	Ready to use	Nick Walker	15/11/2024 18:49
NMR Levels2	Ready to use	Nick Walker	20/01/2020 12:59
ESR frequency	Ready to use	Nick Walker	15/11/2024 18:50
ESR g factor	Ready to use	Nick Walker	15/11/2024 18:52

There are 7 other versions that do you not have access to.

Question statement

The Lande g factor of the unpaired electron in an unknown inorganic radical is measured to be {lande_g_factor} in a magnetic field, B, of {magfield} T.

Give any introductory information the student needs.

			Name	Type	Generated Value

photon_energy_log	integer	-24
photon_energy_mantissa	number	7.752
h	number	0
h_mantissa	number	6.62607004
h_log	integer	-34
magfield	decimal	dec("0.4")
randomiser	integer	3
lande_g_factor	decimal	dec("2.094")
Frequency_coeff	decimal	dec("7.7679107709744")
Frequency_powers	number	1509206157.5611231
Frequency	decimal	dec("1.17e+10")
html_out	list	List of 5 items
HTML	html	HTML node
Bohr_magneton_mantissa	number	9.274009994
Bohr_magneton_log	integer	-24
Frequency_MHz	decimal	dec("11700")
Frequency_log	decimal	dec("10")
Frequency_mantissa	decimal	dec("1.17")

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
floor(log(6.626*10^(-34)*frequency))

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

-24

← Depends on:

Frequency

→ Used by:

Advice
"Part b)" → "Gap 1." - Minimum accepted value
"Part b)" → "Gap 1." - Maximum accepted value

Parts

Part a) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
Part b) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

What is the frequency, $\nu$ , of the electron spin resonance transition for the unpaired electron in this radical in units of Hz?

Gap 0. $\times$ 10^{Gap 1.}

Advice

(i) First, note that;

$\frac{\Delta E}{h}=\frac{g\mu_BB}{h} =\nu$

so;

${\frac{\var{Lande_g_factor}~\times9.274 \times 10^{-24}{\rm ~J~T^{-1}}\times \var{magfield}{\rm~T}}{6.62607~\times~10^{-34}~{\rm J~s}}=\var{Frequency_mantissa}~\times~10^\var{Frequency_log}~{\rm~Hz}}$

(ii) Note that;

$E=h\nu$

$6.62607~\times~10^{-34}~{\rm J~s}~\times\var{Frequency_mantissa}~\times~10^\var{Frequency_log}~{\rm~Hz}=\var{photon_energy_mantissa}\times10^{\var{photon_energy_log}} {\rm J}$

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

NMR and ESR by Nick Walker in Nick's workspace.
Spectroscopy practice by Nick Walker in CHY1201 - Spectroscopy.
ESR Spectroscopy by Nick Walker in CHY1201 - Spectroscopy.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Nick Walker 5 years, 11 months ago

Nick Walker 6 years, 1 month ago

Nick Walker 6 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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ESR frequency

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Nick Walker 5 years, 11 months ago

Nick Walker 6 years, 1 month ago

Nick Walker 6 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`