10-deg V*(l) luminous efficiency curve

Units

0.1 nm steps

1 nm steps

5 nm steps

Quantal (log)

Energy (log)

Energy (linear)

Data key

Columns

Quantal

Logarithmic

  1. Wavelength (nm)
  2. log 10-deg photopic luminous efficiency, V10*(l)

Energy

Logarithmic

  1. Wavelength (nm)
  2. log 10-deg photopic luminous efficiency, V10e*(l)

Linear

  1. Wavelength (nm)
  2. 10-deg photopic luminous efficiency, V10e*(l)

Notes

    Based on the linear combination of the Stockman and Sharpe (2000) M- and L-cone spectral sensitivities that best fits experimentally-determined 25-Hz, 2° diameter, heterochromatic (minimum) flicker photometric data obtained from 40 observers (35 males, 5 females) of known genotype. The same L- and M-cone weights are assumed to apply at 10 deg as at 2 deg. The quantal luminous efficiency function is therefore:

 or

relative to the quantal cone fundamentals and having unity peak sensitivities.  Functions are tabulated at 0.1, 1 or 5 nm steps.  The 0.1 and 1 nm functions were obtained by the interpolation of the 5 nm functions using a cubic spline.  Functions are normalized to peak at unity at the nearest 0.1 nm step. The lmax for quantal efficiencies is 544.4 nm.

The same function, but energy based, and given in terms of the energy based cone fundamentals and renormalized to unity peak sensitivities:

 

 or

 

 

The different weight simply reflects the unity renormalization required after the cone fundamentals are converted from quanta to energy units. The lmax for energy-based efficiencies is 555.1 nm.

 

 

 

References

Stockman, A., & Sharpe, L. T. (2000). Spectral sensitivities of the middle- and long-wavelength sensitive cones derived from measurements in observers of known genotype. Vision Research, 40, 1711-1737.

Sharpe, L. T., Stockman, A., Jagla, W. & Jägle, H.(2005). A luminous efficiency function, V*(l), for daylight adaptation. Journal of Vision, 5, 946-968..

 

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