ESR g factor

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Nick Walker

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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 ESR 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 frequency, $\nu$ , of an electron spin transition of an unknown inorganic radical is measured to be {Frequency_MHz} MHz in a magnetic field, B, of {magfield} T.

Give any introductory information the student needs.

			Name	Type	Generated Value

photon_energy_log	integer	-23
photon_energy_mantissa	number	6.759
h	number	0
h_mantissa	number	6.62607004
h_log	integer	-34
magfield	decimal	dec("3.5")
randomiser	integer	4
lande_g	decimal	dec("2.086")
Frequency_coeff	decimal	dec("67.709546966194")
Frequency_powers	number	1509206157.5611231
Frequency	decimal	dec("1.02e+11")
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("102000")
Frequency_log	decimal	dec("11")
Frequency_mantissa	decimal	dec("1.02")

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`

-23

← Depends on:

This variable doesn't seem to be used anywhere.

Advice

(i) First, note that;

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

in an electron spin resonance experiment. Therefore;

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

so;

$\frac{6.62607~\times10^{-34}~{\rm~J~s}~\times~\times~\var{Frequency_mantissa}~\times~10^\var{Frequency_log}~{\rm~Hz}}{9.274 \times 10^{-24}{\rm ~J~T^{-1}}\times \var{magfield}{\rm~T}}=\var{Lande_g}$

(ii) Note that;

$E=h\nu$

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

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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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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

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Generated value: `integer`

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Number entry

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ESR g factor

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

Number entry

Advanced settings

Generated value: `integer`