gsw_enthalpy_second_derivatives_CT_exact: Second Derivatives of Enthalpy (exact)

View source: R/gsw.R

gsw_enthalpy_second_derivatives_CT_exactR Documentation

Second Derivatives of Enthalpy (exact)


Second Derivatives of Enthalpy (exact)


gsw_enthalpy_second_derivatives_CT_exact(SA, CT, p)



Absolute Salinity [ g/kg ]


Conservative Temperature [ degC ]


sea pressure [dbar], i.e. absolute pressure [dbar] minus 10.1325 dbar


A list containing h_SA_SA [ (J/kg)/(g/kg)^2 ], the second derivative of enthalpy with respect to Absolute Salinity, h_SA_CT [ (J/kg)/(K*g/kg) ], the derivative of enthalpy with respect to Absolute Salinity and Conservative Temperature, and h_CT_CT [ (J/kg)/degC^2 ], the second derivative of enthalpy with respect to Conservative Temperature.

Implementation Note

This R function uses a wrapper to a C function contained within the GSW-C system as updated 2021-12-28 at with git commit '98f0fd40dd9ceb0ba82c9d47ac750e935a7d0459'.

The C function uses data from the library/gsw_data_v3_0.mat file provided in the GSW-Matlab source code, version 3.06-11. Unfortunately, this version of the mat file is no longer displayed on the website. Therefore, in the interests of making GSW-R be self-contained, a copy was downloaded from on 2022-05-25, the .mat file was stored in the developer/create_data directory of, and then the dataset used in GSW-R was created based on that .mat file.

Please consult to learn more about the various TEOS-10 software systems.



SA <- c(34.7118, 34.8915, 35.0256, 34.8472, 34.7366, 34.7324)
CT <- c(28.7856, 28.4329, 22.8103, 10.2600,  6.8863,  4.4036)
p <- c(      10,      50,     125,     250,     600,    1000)
r <- gsw_enthalpy_second_derivatives_CT_exact(SA, CT, p)
stopifnot(all.equal(r$h_SA_SA, c(0.000082767011576, 0.000414469343141, 0.001089580017293,
                                 0.002472193425998, 0.006103171596320, 0.010377465312463)))
stopifnot(all.equal(r$h_SA_CT, c(0.000130320164426, 0.000655016236924, 0.001879127443985,
                                 0.005468695168037, 0.014315709000526, 0.025192691262061)))
stopifnot(all.equal(r$h_CT_CT, c(0.000714365642428, 0.003584965089168, 0.009733337653703,
                                 0.024044402143825, 0.061449390733344, 0.107333638394904)))

gsw documentation built on Oct. 16, 2022, 5:06 p.m.