R/Kn.R

In seacarb: Calculates parameters of the seawater carbonate system

# Copyright (C) 2007 Karline Soetaert (K.Soetaert@nioo.knaw.nl)
#
# This file is part of seacarb.
#
# Seacarb is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or any later version.
#
# Seacarb is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License along with seacarb; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
#


"Kn" <- 
function (S=35, T=25, P=0, pHscale="T")

#--------------------------------------------------------------
# Dissociation constant of ammonium 
#--------------------------------------------------------------

{

nK <- max(length(S), length(T), length(P), length(pHscale))

##-------- Creation de vecteur pour toutes les entrees (si vectorielles)

if(length(S)!=nK){S <- rep(S[1], nK)}
if(length(T)!=nK){T <- rep(T[1], nK)}
if(length(P)!=nK){P <- rep(P[1], nK)}
if(length(pHscale)!=nK){pHscale <- rep(pHscale[1],nK)}

#-------Constantes----------------

tk = 273.15           # [K] (for conversion [deg C] <-> [K])
TC = T + tk           # TC [C]; T[K]

	#--------------------------------------------------------------
  # Dissociation constant of ammonium on seawater scale - Millero 1995
 	#--------------------------------------------------------------
lnK <- -6285.33/TC+0.0001635*TC-0.25444+(0.46532-123.7184/TC)* sqrt(S)+
      (-0.01992+3.17556/TC)*S

lnkpok0 <- rep(0, nK)

# P : applied pressure (in Bars) = (Total Pressure-1)
# Pressure Correction from Millero 1995 - Typos corrections from Lewis and Wallace (CO2SYS)
  
	for(i in (1:nK)){		
	if (P[i]> 0.0)
  {
		R = 83.14472             # mol bar deg-1
    a0 <- -26.43; a1<- 0.0889; a2 <- -0.000905
    b0 <- -5.03e-3 ; b1 <- 0.0814e-3; b2 <- 0
    deltav  <-   a0 + a1 *T[i] + a2 *T[i]*T[i]
    deltak  <-  (b0  + b1 *T[i] + b2*T[i]*T[i])
    lnkpok0[i] <-  -(deltav/(R*TC[i]))*P[i] + (0.5*deltak /(R*TC[i]))*P[i]*P[i]
  }
}
  Kn      <- exp(lnK +lnkpok0)  # K_NH4 on SEAWATER scale
  cc  <- kconv(S,T,P)            # conversion factors from one scale to other
  Kn  <- Kn/cc$ktotal2SWS        # Kn now on total scale

###----------------pH scale corrections
factor <- rep(NA,nK)
pHsc <- rep(NA,nK)
for(i in (1:nK)){   
 if(pHscale[i]=="T"){factor[i] <- 1 ; pHsc[i] <- "total scale"}
 if(pHscale[i]=="F"){factor[i] <- kconv(S=S[i], T=T[i], P=P[i])$ktotal2free ; pHsc[i] <- "free scale"}
 if(pHscale[i]=="SWS"){factor[i] <- kconv(S=S[i], T=T[i], P=P[i])$ktotal2SWS ; pHsc[i] <- "seawater scale"}
Kn[i] <- Kn[i]*factor[i]
}

  attr(Kn,"pH scale") = pHsc
  attr(Kn,"unit")     = "mol/kg-soln"
  return(Kn)

}  ## END Kn