Difference between revisions of "Rydmr exp.m"

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Singlet-singlet RYDMR experiment with exponential recombination function.
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{{DISPLAYTITLE:rydmr_exp.m}}
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Singlet-singlet RYDMR experiment with exponential recombination function. This is a spin chemistry experiment involving a radical pair. See http://dx.doi.org/10.1080/00268979809483134 for a detailed description.
  
 
==Syntax==
 
==Syntax==
  
 
     A=rydmr_exp(spin_system,parameters,H,R,K)
 
     A=rydmr_exp(spin_system,parameters,H,R,K)
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==Description==
 
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This is a spin chemistry experiment involving a radical pair. See http://dx.doi.org/10.1080/00268979809483134 for a detailed description.
 
  
 
==Arguments==
 
==Arguments==
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     parameters.electrons  -  numbers identifying the two electrons
 
     parameters.electrons  -  numbers identifying the two electrons
 
                               in the isotope list, e.g. [1 2]
 
                               in the isotope list, e.g. [1 2]
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    parameters.needs      -  must contain 'zeeman_op', this is an
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                              instruction to the kernel to provide a
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                              separate Zeeman operator for field sweep
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                              purposes
  
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==Returns==
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==Outputs==
  
 
     A - a matrix of singlet yields with dimensions
 
     A - a matrix of singlet yields with dimensions
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==Examples==
 
==Examples==
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The following calculation (singlet_yield_5.m in examples/spin_chemistry) reproduces Figure 5 from the reverence cited above.
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The following calculation (singlet_yield_5.m in examples/spin_chemistry) reproduces Figure 5 from the reference cited above.
  
 
[[File:rydmr_exp.png|center|frame|Figure 5 from the paper by Timmel, Till, Brocklehurst, McLauchlan and Hore.]]
 
[[File:rydmr_exp.png|center|frame|Figure 5 from the paper by Timmel, Till, Brocklehurst, McLauchlan and Hore.]]
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''Version 1.10, authors: [[Hannah Hogben]], [[Peter Hore]], [[Ilya Kuprov]]''
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''Version 2.2, authors: [[Hannah Hogben]], [[Peter Hore]], [[Ilya Kuprov]]''

Revision as of 11:33, 22 August 2018

Singlet-singlet RYDMR experiment with exponential recombination function. This is a spin chemistry experiment involving a radical pair. See http://dx.doi.org/10.1080/00268979809483134 for a detailed description.

Syntax

    A=rydmr_exp(spin_system,parameters,H,R,K)

Arguments

    parameters.fields     -   row vector of field values, Tesla

    parameters.rates      -   row vector of singlet recombination
                              rate constants, Hz

    parameters.electrons  -   numbers identifying the two electrons
                              in the isotope list, e.g. [1 2]

    parameters.needs      -   must contain 'zeeman_op', this is an 
                              instruction to the kernel to provide a
                              separate Zeeman operator for field sweep 
                              purposes

Outputs

    A - a matrix of singlet yields with dimensions
        matching the sizes of parameters.rates and
        parameters.fields

Examples

The following calculation (singlet_yield_5.m in examples/spin_chemistry) reproduces Figure 5 from the reference cited above.

Figure 5 from the paper by Timmel, Till, Brocklehurst, McLauchlan and Hore.

Notes

The function uses resolvent transforms in Liouville space and auxiliary matrices in Hilbert space. Exponential recombination kinetics is built into this function, do not combine with inter.chem.rp_rates parameter. If a more accurate description of recombination kinetics is required, use rydmr.m function.

See also

rydmr.m, expmint.m


Version 2.2, authors: Hannah Hogben, Peter Hore, Ilya Kuprov