Lorenz profile

The shape and width of each absorption line are functions of temperature and pressure of the medium. The Lorenz profile is usually used to define the shape of these lines at moderate temperatures under local thermodynamic equilibrium conditions. Although other profiles, such as Doppler or Stark profiles, can also be used to define the line shapes, the Lorenz profile, which adequately describes collision-broadened lines, is more appropriate for most applications, including those in combustion systems. For more details, the reader is referred to Siegel and Howell [1] or Modest [3]. 

Two of the best-known models used for this purpose are the Elsasser and the statistical Goody models, both of which employ the Lorenz profile for description of individual line shapes. These models give very accurate predictions over a bandwidth of approximately 50 cm"1, which is considered narrow for most practical purposes. (At X = 1 pm, this bandwidth translates to about AX = 0.05 pm.) Because of this, the model is called the narrowband model. Although this technique is significantly simpler than the line-by-line models, it still requires an extensive database about the species considered and significant computational effort. Such a detailed model can be considered useful only if the species concentration distribution is known very accurately, which is usually not the case. 

Gardner TS, di Bernardo D, Lorenz D, Collins JJ (2003) Inferring genetic networks and identifying compound mode of action via expression profiling. Science 301 102-105... 

Lorenz LJ. Cefaclor. In Rorey K, cd. Analytical Profiles of Drug Substances, Vol, 9. New York Academic Press, 1980 107-23. 

Hennig, T, Lorenz, H., Thiel, A. et al. 2007. Reduced chondrogenic potential of adipose tissue derived stromal cells correlates with an altered TGF beta receptor and bmp profile and is overcome by bmp-6. JCellPhysiol 211 682-91. 

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