Difference between revisions of "Rydmr exp.m"

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{{DISPLAYTITLE:rydmr_exp.m}}
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{{DISPLAYTITLE:rydmr_exp.m}} __NOTOC__
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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.
 
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==
  
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    A=rydmr_exp(spin_system,parameters,H,R,K)
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answer=rydmr_exp(spin_system,parameters,H,R,K)
  
 
==Arguments==
 
==Arguments==
  
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    parameters.fields    -  row vector of field values, Tesla
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parameters.fields    -  row vector of field values, Tesla
 
   
 
   
 
     parameters.rates      -  row vector of singlet recombination
 
     parameters.rates      -  row vector of singlet recombination
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==Outputs==
 
==Outputs==
  
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    A - a matrix of singlet yields with dimensions
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A - a matrix of singlet yields with dimensions
 
         matching the sizes of parameters.rates and
 
         matching the sizes of parameters.rates and
 
         parameters.fields
 
         parameters.fields
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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 reference cited above.
 
The following calculation (singlet_yield_5.m in examples/spin_chemistry) reproduces Figure 5 from the reference cited above.
  
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==Notes==
 
==Notes==
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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.
 
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==
 
==See also==
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[[rydmr.m]], [[expmint.m]]
 
[[rydmr.m]], [[expmint.m]]
  
  
 
''Version 2.2, authors: [[Hannah Hogben]], [[Peter Hore]], [[Ilya Kuprov]]''
 
''Version 2.2, authors: [[Hannah Hogben]], [[Peter Hore]], [[Ilya Kuprov]]''

Revision as of 15:04, 5 April 2026


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

answer=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