lorentzCurve: Compute a Lorentzian Curve
In bryanhanson/SpecHelpers: Spectroscopy Related Utilities

Description Usage Arguments Value Author(s) See Also Examples

Computes the y values describing a Lorentzian curve such as seen in an NMR peak. Requires a range of x values and parameters for peak position, area, and gamma (half the peak width at half-height).

1	lorentzCurve(x, x0, area, gamma)

`x`	A vector of x values which will be used to compute the corresponding y values. Use enough to give good resolution.
`x0`	The position of the peak. Must fall in the range of x, of course.
`area`	The area of the peak, in arbitrary units.
`gamma`	HWHM, half-width at half-maximum. The peak "width" in units corresponding to x.

A vector of y values corresponding to the x values supplied.

Bryan A. Hanson, DePauw University. hanson@depauw.edu

gaussCurve, makeSpec, plotNMRspec and plot2DNMRspec for drawing NMR spectra.

myx <- seq(0, 100, length.out = 1000) # use lots of point for resolution
myy <- lorentzCurve(x = myx, area = 1, x0 = 40, gamma = 5)
plot(myx, myy, type = "l", main = "Pure Lorentzian Curve")
y = 0.5*max(myy)
x = seq(40, 45, 0.5)
points(x = x, y = rep(y, length(x)), col = "blue", type = "l")
text(x = 42, y = y + 0.005, labels = c("gamma"), col = "blue", srt = 90)