NMR field

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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, 10 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

List of gyromagnetic ratios, $\gamma$ , for nuclei in units of MHz T^-1;

$\gamma$ (¹H)=268

$\gamma$ (¹³C)=67.3

$\gamma$ (¹⁴N)=19.3

$\gamma$ (¹⁹F)=252

$\gamma$ (³¹P)=108

Give any introductory information the student needs.

			Name	Type	Generated Value

Spin_select	number	1
levels	number	3
photon_energy_log	integer	-27
photon_energy_mantissa	number	1.630
photon_energy	number	0
hbar	number	0
hbar_mantissa	number	1.040820648
hbar_log	integer	-33
magfield	decimal	dec("0.80000")
randomiser	integer	2
gyromag	list	List of 5 items
Nucleus_select	string	14N
gyromag_select	number	19.3
Frequency_MHz	number	2.46
html_out	list	List of 5 items
HTML	html	HTML node
Frequency	number	2460000

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
get(gyromag[randomiser],"Spin",0)
​

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: `number`

← Depends on:

gyromag
randomiser

→ Used by:

levels

This variable doesn't seem to be used anywhere.

Advice

(i) First, retrieve the correct value of the gyromagnetic ratio. It can be seen that $\gamma$ for {Nucleus_select} is equal to {gyromag_select} MHz T^-1.

Next, note that;

$\frac{{\gamma}Bh}{2\pi} =h\nu$

which reduces to;

$B = \frac{2\pi\nu}{\gamma}$

so;

$B = \frac{2~\times3.142~\times~\var{Frequency_MHz}~{\rm MHz}}{\var{gyromag_select}~{\rm~MHz~T^{-1}}} = {\var{magfield}~\rm T}$

(ii) Note that;

$E=h\nu$

$6.62607~\times~10^{-34}~{\rm J~s}~\times\var{Frequency_MHz}~{\rm MHz}=\var{photon_energy_mantissa}\times10^{\var{photon_energy_log}} {\rm J}$

because

$\var{Frequency_MHz}~{\rm MHz} = \var{Frequency}~{\rm Hz}$

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Part	Test	Passed?
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Number entry		Hasn't run yet
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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.
NMR 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, 10 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: `number`

Parts

Number entry

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NMR field

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Nick Walker 5 years, 10 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: number

Parts

Number entry

Advanced settings

Generated value: `number`