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#' Convert wavelength to wavenumber
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#'
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#' Converts wavelength (nm) to wavenumber (cm-1)
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#' Only valid for absolute wavelengths, NOT delta wavelengths (ranges)
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#' http://www.powerstream.com/inverse-cm.htm
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#'
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#' @param wavelength number or vector of numbers
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#'
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#' @return number or vector
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#' @export
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wavelength2num <- function(wavelength) {
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wavenumber <-
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10E6 / wavelength
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return(wavenumber)
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}
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#' Convert wavenumber to wavelength
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#'
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#' Converts wavenumber (cm-1) to wavelength (nm)
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#' Only valid for absolute wavenumbers, NOT delta wavenumbers (ranges)
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#' http://www.powerstream.com/inverse-cm.htm
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#'
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#' @param wavenumber number or vector of numbers
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#'
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#' @return number or vector
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#' @export
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wavenum2length <- function(wavenumber) {
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wavelength <-
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10E6 / wavenumber
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return(wavelength)
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}
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#' Convert Pascal to Torr
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#'
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#' @param pascal numeric (note: please supply Pa, not kPa)
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#'
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#' @return torr, numeric
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#' @export
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pascal2torr <- function(pascal) {
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# 1 Pascal == newton per square metre == kg per metre second squared
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# 1 Torr == 1/760 atm
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# 1 atm == 101325 Pascal
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torr <- pascal / 101325 * 760
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return(torr)
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}
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#' Convert Torr to Pascal
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#'
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#' @param torr numeric
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#'
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#' @return pascal, numeric (note returns Pa, not kPa)
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#' @export
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torr2pascal <- function(torr) {
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# 1 Pascal == newton per square metre == kg per metre second squared
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# 1 Torr == 1/760 atm
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# 1 atm == 101325 Pascal
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# torr <- pascal / 101325 * 760
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pascal <- torr * 101325 / 760
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return(pascal)
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}
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#' Convert from radians to degrees
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#'
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#' @param radians numeric
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#'
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#' @return degrees (numeric)
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#' @export
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as.degrees <- function(radians) {
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degrees <- radians * (180 / pi)
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return(degrees)
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}
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#' Convert from degrees to radians
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#'
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#' @param degrees numeric
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#'
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#' @return radians (numeric)
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#' @export
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as.radians <- function(degrees) {
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radians <- degrees * (pi / 180)
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return(radians)
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}
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#' Convert from Celsius scale to Kelvin
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#'
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#' Converts temperature from Celsius to Kelvin.
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#'
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#' @param Celsius degrees Celsius (numeric)
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#'
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#' @return Kelvin (numeric)
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#' @export
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Celsius2Kelvin <- function(Celsius) {
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# Check and correct for values below -273.15
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if (Celsius < -273.15) {
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# If Celsis is less than absolute zero, set it to absolute zero
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Celsius <- -273.15
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}
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Kelvin <- Celsius + 273.15
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return(Kelvin)
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}
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#' Convert from Kelvin to Celsius scale
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#'
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#' Converts from temperature in Kelvin to degrees Celsius
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#'
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#' @param Kelvin (numeric)
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#'
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#' @return degrees Celsius (numeric)
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#' @export
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Kelvin2Celsius <- function(Kelvin) {
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# Check and correct for negative values
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if (Kelvin < 0) {
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# If Kelvin is less than zero, set it to zero
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Kelvin <- 0
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}
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Celsius <- Kelvin - 273.15
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return(Celsius)
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}
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#' Calculate d-spacings from 2theta values
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#'
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#' This function applies Bragg's law to calculate d-spacings from thth (n = 1)
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#'
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#' @param thth vector with thth values in degrees
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#' @param wavelength radiation wavelength in Angstrom
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#'
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#' @return d-spacings (numeric)
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#' @export
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thth2d <- function(thth, wavelength = 1.540562) {
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# Wavelengths:
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# Ag-Ka1 wavelength=0.5594075
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# Ag-Ka2 wavelength=0.563798
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# Ag-Kb1 wavelength=0.497069
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# Ag-Kb2 wavelength=0.497685
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# Co-Ka1 wavelength=1.788965
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# Co-Ka2 wavelength=1.792850
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# Co-Kb1 wavelength=1.620790
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# Cr-Ka1 wavelength=2.289700
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# Cr-Ka2 wavelength=2.293606
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# Cr-Kb1 wavelength=2.084870
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# Cu-Ka1 wavelength=1.540562
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# Cu-Ka2 wavelength=1.544398
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# Cu-Kb1 wavelength=1.392218
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# Fe-Ka1 wavelength=1.936042
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# Fe-Ka2 wavelength=1.939980
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# Fe-Kb1 wavelength=1.756610
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# Ge-Ka1 wavelength=1.254054
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# Ge-Ka2 wavelength=1.258011
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# Ge-Kb1 wavelength=1.057300
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# Ge-Kb2 wavelength=1.057830
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# Mo-Ka1 wavelength=0.709300
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# Mo-Ka2 wavelength=0.713590
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# Mo-Kb1 wavelength=0.632288
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# Mo-Kb2 wavelength=0.632860
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# Ni-Ka1 wavelength=1.657910
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# Ni-Ka2 wavelength=1.661747
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# Ni-Kb1 wavelength=1.500135
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# Zn-Ka1 wavelength=1.435155
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# Zn-Ka2 wavelength=1.439000
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# Zn-Kb1 wavelength=1.295250
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return (wavelength / (2 * sin(as.radians(thth))))
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}
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